S3-03: Instructional strategies for integrating science and literacy

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We’re continuing our investigations around science and literacy with Doug Fisher, Ph.D., professor and chair of educational leadership at San Diego State University. We talk about the importance of integrating science and literacy, as well as practical guidance for teachers who want to unite the two disciplines in their own classrooms.

Listen as we discuss how science and literacy can be powerful allies and specific strategy areas to focus on when integrating the two disciplines. And don’t forget to grab your Science Connections study guide to track your learning and find additional resources!

We hope you enjoy this episode and explore more from Science Connections by visiting our main page!

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Douglas Fisher (00:00):

It’s not that you have to become a reading specialist to integrate literacy into science. It’s how our brains work.

Eric Cross (00:10):

Welcome to Science Connections. I’m your host, Eric Cross. This season, we’re making the case for our favorite underdog, which of course is science. Each episode we’re showing how science can be better utilized in the classroom, and making the case for why it’s so important to do so. In our last episode, we examined the evidence showing that science and English instruction can support each other. And now on this episode, we want to give you some more strategies for really making that a reality in your own home or classroom or community. So to help me, I’m joined on this episode by Dr. Douglas Fisher, Professor and Chair of Educational Leadership at San Diego State University. Dr. Fisher is actually someone who has conducted literacy training at my own school, so I’m excited to be able to share some of his wisdom with all of you. Oh, and just a heads up, Dr. Fisher dropped some gems about the ways teachers can integrate literacy and science in their classrooms. So you may want to have a notepad. Ready. And now here’s my conversation with Dr. Douglas Fisher.

Eric Cross (01:12):

Well, Doug, thank you for your time and for being willing to come and talk about literacy and science. I know you’re busy, all over the place, and so I was super-excited that we were able to lock you in and talk about this. And, on this episode, we’re gonna talk about the ways that science and literacy can support each other. And one of the reasons why I’m really excited for you is because you said some really key things for me as a science teacher, when you talked about literacy and supporting students. That just resonated so deeply in me. And I was like, “I need more Doug!” Because we’re on that same frequency. And I know it’s a subject that you’ve spent a lot of time writing about. So can you tell us a little bit about how this became an area of interest or a passion for you? Just literacy, and all of the work that you’ve put into it?

Douglas Fisher (01:54):

Yeah. So I’ve wanted to be a teacher for a really long time. And I went to San Diego State as an undergraduate, and I was taking English class and we were assigned topics. You know, like, you’ll do an assignment, you’ll write a paper for this English class. And I got the topic “illiteracy,” and I was a freshman at San Diego State reading all of these things about adults who don’t read very well or not at all. And I ended up writing my very first college essay on illiteracy — at the time, you know, called illiteracy, at the time. And so I got super interested in this. And so as I moved through college and into my teaching career, literacy became a really important thing for me to think about, because it’s the gatekeeper. You know, you can be taken advantage of, if you’re not very literate. People can use vocabulary against you, if you’re not very literate. We know that people who have higher levels of literacy have better health outcomes. They have better lifespans, longer lifespans. I mean, there’s just — literacy impacts so much more than “Are you reading your fourth-grade textbook?” It really has lifelong implications.

Eric Cross (03:01):

That part that you said about being taken advantage of … I just got a flyer in the mail yesterday. It was one of these mailers that looked like it was an authentic debt-reduction type of thing, but it was really just like a marketing email. If you read the fine print at the very bottom, it had all of this jargon about “This is a paid, you know, for-profit company.” But when you look at it, it had official stamps all over it. And I could imagine if someone’s receiving that, that probably fools a lot of people. Is that kinda like what you’re talking about, like being taken advantage of?

Douglas Fisher (03:28):

Yes. I had a student turn 18, got a letter from a “credit card company” that was offering her daily compounding interest. And if you don’t know what that means — at 23 percent! — if you dunno what that means, you are gonna be a victim. Literacy really influences a lot of our life. It’s also how our brain works. We have a language-based system in our brain. We read, write, speak, listen, and view. And the things we learn, we learn through speaking, reading, writing, listening, and viewing. From what we know, we are the only species that has an external storage mechanism. Like, we have the ability to store complex information outside of our body, in the form of notes. We can type them. We can write them. And we can then go back and retrieve that information, that complex orthographic information later. And it means the same thing. We can say we have a storage system and we’ve been doing this for a really long time. Way back to, you know, hieroglyphics and messages on cave walls. And throughout the ages of humans learning, how to store information that they can re-access again later. That’s become a super-complicated system. It’s how computers operate. And we send messages to each other and we text each other and we write things down, and we’re really good at putting ideas, information out there. Now, if it’s just speaking and listening, then we can forget it. We can say, “No, you said this,” or “I said that.” But when it’s written, and it’s print literacy, you know, it’s the orthographics there, you can go back to the same message and over and over again. Now, you might change the interpretation of it, but the message is still there.

Eric Cross (05:16):

Right. And that is such a key element, at least of modern education, is this written element of it. It’s what many schools live and die by. They’re quantitatively and qualitatively analyzed by it. It’s public. They can see it. And so there’s this heavy emphasis. And why do you think science and literacy can be powerful allies together?

Douglas Fisher (05:38):

Awesome. Well, it’s hard to learn science if you’re not literate.

Eric Cross (05:42):

This is true.

Douglas Fisher (05:42):

But that’s a one-way direction. And yes, science teachers and scientists do a lot of reading, writing, speaking, and listening and viewing. They use the five literacy processes all the time. When we interview scientists, they spend a lot of their time reading the work of other scientists and writing their findings, writing grant proposals, presenting at conferences, you know. So a huge part of the work of a scientist is not just at a bench conducting experiments. But even if you’re conducting experiments, you’re using your literacy processes to think about what you’re seeing in your experiment. So that’s a one-way direction. And I do think literacy has an influence on science. But since science goes the other way, it influences literacy. As you learn more and you understand more about the world, your background knowledge grows, your vocabulary grows, you become more literate in those different areas. And how you think. So if I’m learning about life science; I’m learning how the world works in a more, biologic physical world. And that knowledge helps me think about when I’m reading a novel, and there’s an appeal to some science knowledge or a concept that gets played with, you know, perhaps time-space continuums … well, if I don’t have the science knowledge of how I think the world works, it’s hard for me to understand what this author is doing. So it does go both ways. They feed each other. And the more literate we become, the more complex science information we can understand. ‘Cause our background knowledge and our vocabulary influence how much we understand about what we read. And as we access more complex science information, it starts to change the way we think about other things in our world.

Eric Cross (07:23):

There was a couple of things that you said in that, but one of the first things that kind of perked my ears is when you said grant proposals. Because I have friends that are scientists — and this is one of the things that when I was in school, they don’t talk about — but how much of their research is reliant upon getting funding —

Douglas Fisher (07:37):

Mm-hmm. <affirmative>,

Eric Cross (07:38):

— which you don’t think about if you’re becoming a chemist or a physicist or a biologist or working in the field, is that that funding, coming from the NSF or anywhere else. And sometimes students ask in class like, “Why am I writing so much? Like, I want to go into science!” Or “I wanna do this!” And this is a real-life example of how the writing could actually apply, in addition to all of the things of collecting data and conclusions and results. But that grant proposal thing just really perked my ears, yeah.

Douglas Fisher (08:01):

And if you can’t write a grant proposal, your ideas and experiments are not gonna get funded. And if you can’t write a strong proposal, that compellingly convinces your readers to fund you, you’re not gonna get funded. But then once you get the grant, you have to write publications. You have to share your work with other people. Make PowerPoint presentations and write journal articles or books or whatever. So it’s a cycle that literacy influences the things we do, including the things we do in science.

Eric Cross (08:31):

Now to get in maybe some data, if you were trying to convince someone that like this happy marriage can exist, what would be like your number one piece of evidence to support this, this back and forth of supporting each other?

Douglas Fisher (08:44):

Awesome. So the quote I’ll often say — and this is from studies from more than two decades ago now — but in general, in high school science, students are introduced to 3000 unfamiliar words, 3000. Each year! Because there are words that are used in a scientific way that are used commonly in other places. And there are discipline-specific words. So 3000 words a year in high school science. The Spanish 1 textbook only has 1500 words in it. So science teachers have double the academic-language vocabulary demand that a typical introductory world-language class has. So just the vocabulary alone should say to us, literacy is gonna be important if you’re gonna learn science. And if you don’t understand these technical words, and you don’t understand the way science uses this particular word in this particular way… . When you say the word “process,” it means something very specific In science. “Division” — cellular division is not the way we think about it in mathematics; there’s a similar concept, but cellular division is different than dividing numbers. And those are words that get used in multiple areas. Then you have all these technical terms that you have to be able to use, to understand the concepts. To share the concepts. To talk to other people. Whether you’re in, you know, fifth grade and talking science, or you’re a university professor, there’s a shared language, appropriate for our grade level, that we have shared meanings of.

Eric Cross (10:22):

And we’re essentially … what I’m hearing you say is … most of the people that are listening to this are science teachers. We’re we’re also language teachers. In a sense.

Douglas Fisher (10:29):

So my frustration is when people say, “Every teacher’s a teacher of reading.” And I don’t like that. I’ve written against that phrase. I don’t think all teachers are teachers of reading, any more than all teachers are teachers of chemistry. Or all teachers are teachers of algebra. But what I will say is the human brain learns through language. And all of us — every teacher that I’ve ever met understands that language is important in my class. If my students don’t have strong listening skills and speaking skills; reading, writing, and viewing skills; I’m gonna have a hard time getting them to learn things. If I can help them grow their speaking, listening, reading, writing, and viewing in my content area, I’m gonna do a service for my learning of my subject and also their more broad literacy development.

Eric Cross (11:16):

  1. So, at a high level, what does it look like to integrate science and literacy? We’ve done education for the last, what, hundred years?

Douglas Fisher (11:24):

Mm-hmm. <affirmative>

Eric Cross (11:25):

—kind of pretty similarly, right? Kind of siloed way. What does this look like at the 30,000-foot level? You’re a professor, department chair. Run schools. Speak everywhere. Like, when you think about this from that high level, what does it look like?

Douglas Fisher (11:39):

A high level? Every time I meet with students in a science class, you know, biology or fifth grade or whatever? They should be reading, they should be writing, they should be speaking and listening. Every class. So what print do you want them to access? And it can be a primary source document, it can be an article, it can be from a textbook. Are they reading something? Are they writing to you? Because writing is thinking. If they are writing, they are thinking. As soon as their brain goes somewhere else, they stop writing. The pen won’t move or the fingers don’t type. And then speaking and listening, of course, is the dynamic of our classes. So every day we should see some amount of reading, writing, speaking, and listening, viewing in our classes. That’s at a high level. There are some generic things that seem to work across the literacy. So, learning how to take notes. Focusing on vocabulary. Using graphic organizers. These are generic things that as educators we can use in our classes. Then there’s more specialized things. So, scientists and science teachers think differently than historians and literary critics and art critics. So scientists, if you look at the disciplinary literacy work, there’s a whole body of research where they interview and study high-end experts in their field: chemistry, physics, biology, et cetera. And there are some characteristics that were more disciplined, specific. Scientists like cause and effect relationships. They look for them when they’re reading. They like sourcing information. “Where this come from?” “What’s the history of this idea?” Scientists have a long view in terms of time. Historians have a shorter view of time. English teachers have even shorter view of time. Scientists tend to think in long periods of time. And so all of that influences how a scientist reads and how we should apprentice young people after they get past the generic “I know how to take notes. I know how to study my vocabulary. I know how to do summary writing for my teacher in my notebooks and things,” there’s some generic tools. Once we get past those, we need to be looking at specifically how do people in science use literacy.

Eric Cross (13:52):

I’ve never had my thought process of reading deconstructed just now, but we just described how scientists read. I was like, “Yeah, that’s pretty much how I read, right there.” I also like how you said how we should apprentice young people. And I feel like you as the literacy guy, you chose that word very specifically, as far as apprenticing young people. That is a view, I think, that’s really important to hold. ‘Cause that’s what we’re doing essentially … is, if we’re doing what we should be doing, we are apprenticing these young people.

Douglas Fisher (14:18):

Yes.

Eric Cross (14:18):

And helping them develop. Now, let’s imagine there’s a listener out there and they’re interested in getting better at integrating science and literacy instruction. They want to start somewhere. Before we dive in, do you have any initial words of encouragement for the person who’s like, “Everything is like a priority right now,” in their classroom or in their world?

Douglas Fisher (14:37):

Yeah. So I’ll talk about elementary for just a moment. When we’re reading informational texts in our literacy block, we should be reading information that is aligned to what kids need to learn in science and history in, in that grade level. Why are we reading things that are gonna be in conflict with what they’re gonna learn in science later that day in fourth grade, for example? So when we look at our standards, our expectations, what is it that third graders need to know in history, science, mathematics, language arts? And when we’re reading text and we’re learning to apply our reading strategies during our literacy block, why aren’t we reading topics that build our background knowledge for our science time? So we’re seeing some synergy there. We should be looking at life cycles in grades that are appropriate for life cycles and knowing there’s more to life cycles than the frog and the plant or the seed. There are all kinds of life cycles. And we call ’em life cycles for a reason. That’s a general concept. Now in science, we’re looking at this particular lifecycle right now. And so that’s a high level. If we could get more connection to the content standards during our literacy blocks, it would be very good. When we talk about the time at which we call “science” in the day, in more of the K–8 continuum, the science needs to include some primary source documents. Some real things that students are reading. Read about a scientist; read about a scientist’s discovery; read about what they discovered. So that we’re building our background knowledge. So when we go to do things, activities, labs, simulations, we have background knowledge and we understand what we’re experiencing. It can’t be like—I watched this awesome lesson on lenses and the teacher had all these different lenses in the room and the students came in and they were brand new. They don’t know anything. They were picking ’em up. They’re exploring them. They’re trying to figure out, and they’re trying to come up with theories about what this is and how it works. And then the teacher gave them a reading, a short reading, on refraction of light. And they read this thing. And the clarity that they had about what these lenses must do, well! All of a sudden they’re putting them up to the lights! They’re asking if they can go get the lights out of the storage unit! ‘Cause there’s — and they’re shining different lights through the lenses to see what happens to the light. Because that little bit of reading turned some focus on for the students. And it allowed them to take what I’m thinking about, what I’m trying to figure out, how this thing works in another direction. That’s the power of using literacy in our classes.

Eric Cross (17:20):

And what I’m hearing essentially is transfer across disciplines, across content areas, ultimately. And in an elementary school classroom, would it be fair to say, probably the teacher has more autonomy to be able to do that, since they’re teaching all the subjects? But secondary, logistically, planning and those types of things … from what you’ve seen, is it fair to say this kind of needs to be like a top-down, full vertical alignment, to teach like this?

Douglas Fisher (17:45):

I think that would be awesome to do that. But if I’m a sixth grade English Language Arts teacher and I’m working with my sixth grade science teacher, the conversation should be, “What units are you teaching?” Because I’m choosing informational text. My job is to teach them how to find central ideas. My job is to teach them how to find the details in the text. My job is to have them make a claim and support that claim with evidence. The stuff I use is generic. Yes, we do read some literature and some narratives, but we also read about 50% of the text in English around informational text. So if I can help you and accomplish my standards as well, fantastic. So let’s have this conversation and say, “Oh, this is what you’re teaching in science in the next three weeks? I’m gonna choose some texts and we’re gonna analyze ’em for central idea. We’re gonna analyze ’em for details. We’re gonna, for mood or tone or whatever that we’re teaching. And by the way, I’m building background knowledge. So when they come to you, they know some stuff about what you’re going to be teaching next.” So I don’t think it’s impossible to say teams of teachers could come together and say, “What do we believe that our students need to know and learn and be able to do? And then how do we choose things that are gonna help them accomplish exactly that?”

Eric Cross (19:01):

And that’s empowering. Because that’s one thing that we can control maybe is this East-West, peer-to-peer, different content areas. A system may not be able to change as quickly, but I can definitely go talk to my English team or math team and check in and kind of see, “Hey, where do we have overlap in that?” And I know the times that I’ve accidentally had overlap with the teams, it’s super-exciting. And the students have been more bought in! Because it’s like, we’ve done something on the human microbiome and we’ve talked about genetics and all these different things, and then when they read The Giver, or they read some book about genetics, they have all this knowledge. And they’re excited. And they talk about colorblindness or they come to my class and they’re like, “Hey, we read about this!” It’s almost like they saw a magic trick, the fact that these things linked up. And the engagement has been so much higher when it’s the same content in different classes, but through different lenses. At least, that’s what I’ve seen in my years of teaching.

Douglas Fisher (19:54):

I saw a lesson on space junk that was so cool. Middle-school students learning space junk. And the history teacher had a part of it, science teacher had a part of it, English Language Arts teacher had a part of it. And these students, I mean, you watch them look up all the time, ’cause there’s space junk up there. Where’d it come from? Why is it there? What are the politics of this? How do we clean it up? I mean, it was just so interesting to watch them when the teachers came together. And the teachers met their standards in this couple-week-long space-junk exploration. Investigation was met. Politics was met. All these different things. Economy. You know, how much does it cost to clean up this problem? So there’s really cool opportunities when teachers come together and realize we can work together and improve the literacy and learning of our students.

Eric Cross (20:50):

Absolutely. So before this recording, we picked your brain a bit. And I know that there were three specific strategy areas that you wanted to touch on. And one of those — which is kind of coming back to the 3000-words language teachers — was vocabulary. So what are the opportunities that you see, as far as the way of educators to approach vocabulary? Because, you know, there’s a lot. We got a lot of it. The 3000 words.

Douglas Fisher (21:14):

Yeah. There’s a lot of it. So the worry is, we make a vocabulary list and have students look up the words in definitional kinds of things. That’s not really gonna help. Students need to be using the words. They need to be using the words in their conversations, in their writing, in how they think about your content in science. So vocabulary is a huge predictor of whether or not you understand things. Vocabulary is also a pretty good predictor if you can read on grade level. So when we think about vocabulary, there’s something called word solving. You show students a piece of text and you’re reading it, you’re sharing your thinking, and you say, “Oh, here’s a context clue!” Or “I know this prefix or suffix or root!” And in science, a lot of the words are prefixed, suffixed, or root words. We tend to add things together with a lot of prefixes and suffixes and have roots and bases in science. So we can help students think about, “Oh, what does geo- mean? We already know what geo- means here. It means the same thing in this word. Let’s apply that knowledge.” So word solving is part of it, showing students how we think about words that we might not know. The second is more direct instruction of vocabulary. As students encounter the words, we work on what it means, how we say it. We practice it a few times. The process is called orthographic mapping. It’s kind of a scientific idea here. But you have the sound and the recognition of by-the-word, by sight, and what it means. And your brain starts to automatically recognize that word in the future. So I don’t have to slow down, disrupt my fluency, and try to figure out what the word is saying. ‘Cause I’ve seen it enough. I’ve heard it pronounced enough, I’ve pronounced it enough, and I know what it means. So teachers should be saying, “What words in sixth grade science, what words in third grade science, do my students really need to know?” And I’m gonna have them encounter those words over and over. I’m gonna have them use the words. I’m gonna have them see the words. I’m gonna have them say the words. I’m gonna say the word and we’re gonna be over and over with these terms, so that students incorporate them into their normal view of, “These are the things I know about the world.” By the way, when they go to read that next thing, and they understand “geology,” you know, for sixth graders, for example, they know how to say it. They don’t stumble on it. And it activates a whole bunch of memories in their brains. “This is what geology is.” There are branches of geology, there’s physical geology, there’s all this thinking that activates as they read.

Eric Cross (23:35):

There was a practice that I participated in and am trying to incorporate — I don’t know what the name of it is. But essentially what happened was we were dissecting a flower. And the instructor had us name parts of the flower. But we got to come up with our own names for it.

Douglas Fisher (23:49):

Ah.

Eric Cross (23:50):

So, for instance, the stamen we call “the fuzzy Cheeto.” And we all used our own words and then everything was legitimized. And so we went through and learned the whole activity using our own vocab words. But then, in the end, after we presented and talked about it, then the words, the actual academic language was attached to our word. And we were able to say, “OK, the fuzzy Cheeto is the stamen,” and this, this, this, and this. But it was such an interesting practice, because it kind of legitimized all of our definitions. But we weren’t stumbling on these long Latin terms and things like that. Is there a name for that? Or. … ?

Douglas Fisher (24:29):

Yes. I don’t know the name for that. I think it’s really smart. So here’s what I would say about that, is: we don’t learn words, we learn concepts. Words are labels for our concepts. So what that teacher did for you was allow you to develop concept, a concept knowledge. “There’s a part of this plant, it goes like this, we’re gonna call it fuzzy Cheeto. Now I have this concept. And look, it occurred in all these plants. And those people called it that and that other group called it that. We called it a fuzzy Cheeto. Here’s the part of it.” And then the concept is in your brains. And the teacher said, “It’s really called stamen.” And it’s an instant transfer, because you already had the concept. What we often see is students are trying to learn a really hard academic word and the concept for the word at the same time. And so it slows down the whole process. And there’s higher levels of forgetting. Because human beings, we don’t learn words; we learn concepts. If you don’t have the concept, if I gave you a word out of the blue that you’ve never seen, never heard, and a week from now I asked you to remember it, you probably would not, because it didn’t register. It wasn’t part of your schema. You didn’t have a way to organize the information. You don’t have a concept. So that teacher? It’s a great idea. Got you to develop concept knowledge. And then said, “Here’s a real label for it: What some other people called it when they had the chance to come up with their own names.”

Eric Cross (25:50):

Shout out to my teacher, who was—

Douglas Fisher (25:51):

Right.

Eric Cross (25:52):

It was learned then. It was a great practice. And the fact that you’re right, like, I just mean from my own personal experience, I agree that learning concepts versus complicated words. And it’s interesting that you said higher levels of forgetfulness, you know. And you often hear that complaint about it: “Students forget! Students forget!” But this complex topic and this complex word that’s new to me, and I have to remember both of those things.

Douglas Fisher (26:12):

That’s right.

Eric Cross (26:13):

And the other neat thing that it did, is it actually honored the background and like the founts of knowledge of all the different groups in the classroom. You just said something about “this group called it this and this group called it this,” and so by letting different groups share all of those names, now we’re starting to build these kind of interesting connections. That’s at least what I remember experiencing. And so this, even this practice of this approach is very layered, beyond just kind of generating new knowledge of things. So I appreciate that aspect of it. Now another area that you mentioned was complex text.

Douglas Fisher (26:41):

Yeah.

Eric Cross (26:42):

And how we can get students into complex text. So what can we do there?

Douglas Fisher (26:46):

I think science is an ideal place to get students reading things that are hard for them. And I do believe that some parts of school should be a struggle. Not all day, every day. But there should be doses of struggle, which are good for our brains. And these complex pieces of texts that don’t give up their meanings easily allow students to go back and reread the text and maybe mark the text and talk to peers about the text and answer questions with their groups. And the whole point of complex text is to say, “We persevere through it. We may not understand it fully on our first read. But we go back and we might underline, we might highlight. We might write some margin notes. Our teacher might say, ‘What did this author mean here?’ And we go back and look at that part and we take it apart. What do we think about that? And we talk to each other. It’s showing that when we read things, we work to understand. We work through our thinking, often in the presence of other people. And our understanding grows as we go into the text over and over and over again.” So I said geology earlier. There’s about a two-page article on “what is geology” that sixth graders often read. And some kids find it super boring. It’s a once-read, “OK, geology, I don’t really understand it. There’s a bunch of words in here that I don’t understand.” But if you go back to it a few times and you start taking apart, “What are the branches of geology? Oh, I’m gonna go reread that.” How are these two branches related to each other?” “What are the subtypes of each branch of geology?” “How do geologists do their work?” You start asking questions where students are going back into the text. You spend a little bit of time. Now, the introduction to geology, the students know so much more. So whatever you do next— video experiments, whatever—they have a frame of reference, because of that deep, complex read. It’s probably better than simply telling them, “Here’s the information.”

Eric Cross (28:45):

Right. And I even feel like as an educator, when I reflect on my own learning in the classroom, and then looking at it through the perspective of an educator <laugh>, you find this difference between how you were taught and then what the data says good teaching is.

Douglas Fisher (28:59):

Mm-hmm. <affirmative> mm-hmm. <affirmative>.

Eric Cross (29:00):

It’s so easy to slide back into how you were taught!

Douglas Fisher (29:02):

Yeah.

Eric Cross (29:02):

Even though, you know, you mentally assent to, “This is the best way. This is the data shows.” And you find yourself kind of sliding back at times.

Douglas Fisher (29:10):

Yep. And there’s good evidence to support what you just said, that most people teach the way they experienced school. And it is very hard to change that. And people have studied this. And it’s very hard to change that. Because it worked for us. And we have an n of 1, and it worked for us. Now, remember, there were a whole bunch of other kids in the class that it may not have worked for. And we chose to be in school the rest of our lives, and some of your peers did not choose to be in school the rest of their lives. In fact, some of them hated school and found no redeeming qualities of their experience. So just because it worked for us in a case of one, n of 1, doesn’t mean it worked for all of the kids, or even the majority of them.

Eric Cross (29:57):

Very well said. It’s that, what is that, the survivor bias? Survivorship bias? Where you were the one that made it. But you don’t think about all the other folks. ‘Cause we’re thinking about ourselves.

Douglas Fisher (30:05):

That’s right.

Eric Cross (30:06):

Great case for empathy too, is thinking about the people left and right. Because my friends are like, “I hated science.” And I say, “Who hurt you? Like, what did they do? It’s so amazing, so much fun!”

Douglas Fisher (30:16):

“What happened to you? Science is the coolest. Right? It’s so amazing!”

Eric Cross (30:21):

But I also had a unique experience in seventh grade with my teacher who did some of these things, and made it accessible for so many of us, in opening opportunities that I wouldn’t have had otherwise. But you’re absolutely right. That was my story. That wasn’t the story of everybody that was around me. And I think that’s really important. Now, I know this is also a big one for you, but I wanna talk about writing. What are the opportunities that you see in terms of writing specifically?

Douglas Fisher (30:51):

So would love it if science teachers had short and longer writing tasks in the science time. Of course, you can integrate some of the science writing, the longer ones, in the English language arts time, especially if you’re the elementary teacher and you can have control of the whole day. But I said this earlier; I’ll say it again. Writing is thinking. While you are writing, there’s nothing else you can do but think about what you are writing. Your brain cannot do something else. So if a science teacher wants to know, do their students really understand the concepts? Have them write. Now some of the shorter ones, I like something called “given word” or “generative sentences”: “I’m gonna give you a word: CELL. C-e-l-l. We’re in science. I want you to write the word ‘cell,’ c-e-l-l, in the third position of a sentence. So it’s gonna go word, word, cell, and then more words.” You could also say, “I want the sentence longer than seven words,” or whatever. But the key is, I’m telling you where I want the word. You will know instantly if your students have a sense of what the word “cell” means in the context of science. If they write “my cell phone,” they don’t get it. If they write about spreadsheet cells or jail cells or whatever, they didn’t get it. But if they talk to you about plant cells and animal cells and the components of those cells, and then once they have that sentence down, you can say to them, “Now write three or four more sentences that connect to that sentence.” It’s super simple. So whatever concepts you’re teaching, put ’em in a specific position. Now you don’t have to only put it in the third position. You can say the first position, the fifth position, the fourth position. But it forces them to think about what they know about the word and then how to construct a sentence for you. That’s a very simple way to get some writing from your students that helps you think about what they understand. Other kinds of writing, you can have quick writes, you can have exit-slip writes. There’s something in the research space called the muddiest part, where halfway through the lesson you have them write so far what has been the least understood or the most confusing part of this lesson. And they do a quick write, right there, at the muddiest part. And as a teacher, you flip through these and you start to say, “Oh, these are the points that are confusing to my students.” So if 80% of them all have the same thing, I gotta reteach that. If these five got, “This is the muddiest part,” If these five thought, “This is the muddiest part,” these seven, “I thought this was the muddiest part,” what do I need to do? Because it’s gonna be hard to move forward if this is their area of confusion. There are also all kinds of writing prompts that have a little bit longer. My favorite one is RAFT. What’s your Role? Who’s your Audience? What’s the Format? And what’s the Topic we’re writing about? Super flexible writing prompt. When you teach something, we don’t want students to only think they write to their teacher. So your role is an atom. You are writing to the other atoms. What do you wanna write about? What’s the topic? What’s the format of it? Is it a love letter? Is it a text message? Is it … so we, we mix it up with students in saying, how do they show some knowledge through a prompt that we give them? And then of course, longer pieces as they get older. More opinion pieces through fifth grade. More claims and arguments starting in sixth grade. So that they’re starting to see, “I have to use the evidence from things I’ve learned, read, listened to, watched, and construct something: an opinion, an argument where I back it up with reasons or evidence.” And those longer pieces, you know, less frequently. The shorter pieces, pretty regularly. So the teacher sees the thinking of the students.

Eric Cross (34:29):

When you were speaking about these really creative writing prompts, there were specific students coming into mind, that were coming into mind … they’re, they’re great science students, but they also have this really strong artsy side drawing, creative writing, and things like that. And when you said something about atoms talking to each other, it elicited, in my brain, certain students that would really love this aspect of creativity in the sciences. And it’s not how we’re typically trained as science teachers, to kind of incorporate this, like you said. A book of props. But I’m imagining, like, as a science teacher, if I took this, this would be a great way to reach more students to be able to show what they know, in a way that might resonate with their own intrinsic “Oh, I get to write creatively!” So I was kind of writing furiously as you were sharing all that information there.

Douglas Fisher (35:12):

So here, I’ll give you another example for elementary people. Again, with RAFT. There’s a book called Water Dance. It’s a pretty popular book for elementary teachers. It’s really about the life cycle of water. For example, you are a single drop of water. You are writing to the land. The format is a letter. And you’re explaining your journey. Now, if they can do this, they’re essentially explaining to you the cycle of water. But you got it in a way that people are now, “Oh, I’m a drop of water. So it’s me. My perspective. Where do I go from? Where do I start?” Because you can start anywhere in the cycle, right? My drop could have started in the clouds. My drop could have started in the ground. My drop could have started in the lake. But it has to show you the journey. So there are many ways of showing you the right answers.

Eric Cross (36:02):

And that’s using the RAFT protocol.

Douglas Fisher (36:04):

That’s RAFT: Role, Audience, Format, Topic. It’s been around 20 or 30 years.

Eric Cross (36:09):

You just gave the name to something a teacher shared in our podcast community, Science Connections: The Community, on Facebook. Teacher shared a Google slide deck and on it were just three slides. And the role that the student had to have is they had to show, then tell, the story of a journey of a piece of salmon being eaten, a piece of starch from pasta being eaten, and then an air molecule in a child’s bedroom. And they had to give the path of travel and the experience from the mouth and then breaking down into protein and all those kinds of things. And this teacher shared it and I wish I knew the teacher’s name because I wanna give ’em credit, but they shared it. And so I used it with my students and then had ’em read aloud their stories and dramatize it. And they were so into it!

Douglas Fisher (36:49):

So cool.

Eric Cross (36:50):

But through it, I was able to see that they understood different parts of the body. They understood cell respiration. The whole thing. And it was fun! To watch them get so into this creative writing. And now I know the name of it. That’s been 30 years they were using RAFT. So you just talked a bit about complex texts and writing. And before we go, I wanted to circle back to something that you said, because I think it’s important, and if you could elaborate on it a little bit, about the value of struggle. Can you talk more about that?

Douglas Fisher (37:21):

Sure. I do believe in a lot of the U.S. we’re in an anti-struggle era of education. And it predates Covid. I think it made it worse during Covid. We front load too much. We pre-teach too much. We reduce struggle. We quote, “over-differentiate” for students. And there’s value in struggle. The phrase, “productive struggle” — if you haven’t heard it, Google productive struggle — it’s an interesting concept, that we actually learn more when we engage in this productive struggle. Now, productive struggle originally came from the math world, and it was this idea that it’s worth struggling through things to learn from it, that you’re likely to get it wrong, and then there was productive success. And there are times when we want students to experience success and we make sure we put things in place for productive success. But there are times where we want them to struggle through a concept. ‘Cause it feels pretty amazing when you get on the other side, when you know you struggled and you get to the other side. If you think about the things, listeners, think about the things in your life where you struggled through it and you are most proud of what you accomplished. I want students to have that. I don’t wanna eliminate scaffolding, eliminate differentiation. But I do want some regular doses of struggle. So if you look at the scaffolding, we have a couple choices. We have front-end scaffolds, distributed scaffolds, and back-end scaffolds. Right now we mostly use front-end scaffolds: We pre-teach, we tell students words in advance, that kind of stuff. But what if we refrained from only using front-end scaffolds, and we use more distributed scaffolds, when they encounter. So there’s a difference between “just in case” and “just in time” support for students. So we tend to plan on the “in advance, here are all the things we’re gonna do to remove the struggle before students encounter the struggle.” What if instead we said, “Let them encounter some struggle. Here’s the supports we’re gonna provide. We’re gonna watch; we’re gonna remove those scaffolds, and allow them to have an experience of success, where they realize, ‘I did it. I got it.’” Every science teacher I’ve ever worked with, when they do an experiment or a lab or simulation, they are looking for productive struggle. They don’t tell the answers in advance. They don’t tell if the answers are right. That’s your data. What does your data tell you? I mean, this is what you do. But then the other part of your day when you move into, like, reading, you don’t do that. You fall into the trap of removing struggle. And so allow them to grapple with ideas. Allow them to wonder what words mean. Allow them to say, “I’m not getting this, teacher! It’s really frustrating!” And you say, “Yeah, this is really hard. This is why we’re doing it at school. ‘Cause it’s really hard. If it was easy, I’d have you do it at home. But we’re doing it here, ’cause it’s really hard and it’s OK not to get it at first.” And create a place where errors are seen as opportunities to learn, and struggling through ideas and clarifying your own thinking and arguing with other people to reach an agreement or reach a place where we agree to disagree is part of the power of learning.

Eric Cross (40:38):

There’s a teacher, who I took this from. My master teacher when I was student teaching. And she said that there’s no such thing as failure in science, just data. And I took that same mantra. And I resonate with what you said about how science teachers, all of us, hold onto that productive struggle, because it’s part of being a scientist. It’s part of the experiments. That genuine “aha” moment. Or it didn’t work out? That’s great! That’s totally fine! Let’s write about it and let’s take photos and let’s publish it and let’s be scientists. That’s totally true. As we wrap up, Dr. Fisher, is there any final message that you have to listeners about bringing science and literacy together? I know you speak everywhere, but for everyone that’s listening, if you can put out your encouragement or message or suggestion … you’ve given so many great tips and practical applications. But, any final thoughts on the subject?

Douglas Fisher (41:32):

I think many science teachers are intimidated because they think they have to be reading teachers. And there’s a knowledge base to reading. And some teachers are reading teachers and science teachers, and I don’t wanna dismiss that. But it’s not that you have to become a reading specialist to integrate literacy into science. It’s how our brains work. And so as you think about the way in which you are learning and the ways in which you want your students to learn, what role does language play? What role does speaking, listening, reading, writing, viewing, play in your class? And then provide opportunities for students to do those five things each time you meet with them.

Eric Cross (42:12):

Dr. Fisher, thank you so much for being here and for your encouragement, and sharing your wisdom and experience. And then personally serving my city, here in San Diego, and my students, when they make it to your high school and ultimately the alma mater of San Diego State University.

Douglas Fisher (42:30):

That’s right.

Eric Cross (42:31):

Yeah. We really, really appreciate you in serving all kids and lifting the bar and making things more equitable for all students. And encouraging teachers. So thank you.

Douglas Fisher (42:39):

Thank you very much.

Eric Cross (42:42):

Thanks so much for listening to my conversation with Dr. Douglas Fisher, Professor and Chair of Educational Leadership at San Diego State University. Check out the show notes for links to some of Doug’s work, including the book he co-authored titled Reading and Writing in Science: Tools to Develop Disciplinary Literacy. Please remember to subscribe to Science Connections so that you can catch every episode in this exciting third season. And while you’re there, we’d really appreciate it if you can leave us a review. It’ll help more listeners to find the show. Also, if you haven’t already, please be sure to join our Facebook group, Science Connections: The Community. Next time on the show, we’re going to continue exploring the happy marriage between science and literacy instruction.

Speaker  (43:26):

I had this moment of realization I felt a few months ago: I’m like, if I don’t teach them how to use the AI as a tool, as a collaborator, then they’re gonna graduate into a world where they lose out to people who do know how to do that.

Eric Cross (43:39):

That’s next time on Science Connections. Thanks so much for listening.

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What Dr. Douglas Fisher says about science

“There are really cool opportunities when teachers come together and realize we can work together to improve the literacy and learning of all our students.”

– Dr. Doug Fisher

Professor and Chair of Educational Leadership, San Diego State University

Meet the guest

Douglas Fisher, Ph.D., is professor and chair of Educational Leadership at San Diego State University and a leader at Health Sciences High & Middle College having been an early intervention teacher and elementary school educator. He is the recipient of an International Reading Association William S. Grey citation of merit, an Exemplary Leader award from the Conference on English Leadership of NCTE, as well as a Christa McAuliffe award for excellence in teacher education. He has published numerous articles on reading and literacy, differentiated instruction, and curriculum design as well as books, such as The Restorative Practices PlaybookPLC+: Better Decisions and Greater Impact by DesignBuilding Equity, and Better Learning Through Structured Teaching.

A middle-aged man with short light brown hair and glasses, wearing a white shirt and dark blazer, in a circular frame with a green accent and simple graphic elements.
A laptop screen displays the “Science Connections: The Community” private group page, with science-themed icons decorating the background and edges.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. 

Welcome, K–8 Reviewers!

We’re honored to introduce you to Amplify Desmos Math California. We’re confident you’ll find this comprehensive program to be a powerful tool for bringing the vision of the California Math Framework to life in classrooms across the state.

Please start with the video on the right to learn how to navigate the program and access key features referenced within our submission. Below you’ll find additional resources to support your review.

Your Review Samples

As a curriculum that incorporates both print and digital resources, it’s important that you explore both our physical materials (delivered to you in grade-specific tubs) and our digital materials (accessible through our platform). We invite you to explore both types of resources using the instructions and tips below.

Print Samples

Your print samples should have arrived in grade-specific tubs with a copy of two Reviewer binders. The K-5 Reviewer binder is contained within the Grade K shipping box and the Grade 6-8 Reviewer binder can be located in the Grade 6 shipping box. As you begin the process of organizing your materials, please refer to the inventory checklist found inside each tub as well as within your Reviewer Binder.

Digital Samples

In order to access your digital samples, you’ll need to log into our platform using your unique login credentials found on a Digital Access Flyer inside of your Reviewer Binder. Once you have located the flyer:

  • Click the orange button below to access the platform.
  • Click “Log in with Amplify.”
  • Enter the username and password provided on your Digital Access Flyer.

Navigation Tips

Below you will find helpful tips for navigating Amplify Desmos Math California. We recommend reading these pages alongside the program’s print materials and digital experience to gain a deeper understanding of the program. 

Click the links below to read about navigating program features including:

Built for California

The Amplify Desmos Math California program is designed around the vision articulated in the California Mathematics Framework to enable all California students to become powerful users of mathematics. Our program incorporates the latest research in student learning, meaning that we:

  • Focus on the Big Ideas: Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. Big Ideas, like standards, are not considered in isolation. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons.
  • Center on open and engaging tasks: Amplify Desmos Math California is grounded in engaging tasks meant to address students’ often-asked question: “Why am I learning this?”  Students are invited into learning with low-floor, high-ceiling tasks that provide an entry point for all. Open tasks in Amplify Desmos Math California provide the space for students to try on multiple strategies and represent their thinking in different ways, and allow student explanation and discussion to serve as the center of the classroom. All lessons offer both print and digital representations of lessons.
  • Provide enhanced digital experiences: Amplify Desmos Math California includes digitally-enhanced lesson activities, incorporating interactive digital tools alongside print materials. These purposefully-placed resources allow students to visualize mathematical concepts, receive actionable feedback while practicing, encounter personalized learning support from an onscreen tutor, and engage in discussions about their thinking and approaches.
  • Treat core instruction and differentiation as integral partners: The Amplify Desmos Math California curriculum provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level content without reducing the mathematical demand of tasks. Every activity has multiple entry points to ensure that all students are supported and challenged. Intervention and personalized learning activities are directly connected to lesson content and offer students the individualized support as they dive into the mathematics.

Category 1: Mathematics Content/Alignment with the Standards

Standards Maps

The links below provide the Standards Maps for Amplify Desmos Math California for each grade level.

Evaluation Criteria Map

Linked here is the Evaluation Criteria Map for grades K–8. Please note that you will need to be logged into the digital platform to access the links in the Evaluation Criteria Map.

Standards for Mathematical Practice

The links below provide the alignment of Amplify Desmos Math California to the Standards for Mathematical Practice at each grade level.

Drivers of Investigation and Content Connections

Amplify Desmos Math California incorporates the Drivers of Investigation (DIs) and Content Connection (CCs) throughout the program. Throughout the year, students engage with open and authentic tasks of varying durations — from lesson activities to unit-level Explore lessons and longer course-level Investigations. Every lesson and investigation opportunity is grounded around the why, how, and what of the learning experience, and helps teachers bring mathematical concepts to life. 

A three-column chart details: Drivers of Investigation, Standards for Mathematical Practice, and Content Connections, each with their respective codes and brief descriptions.

California English Language Development Standards

The links below provide the alignment of Amplify Desmos Math California to the California English Language Development Standards at each grade level.

California Environmental Principles and Concepts

Select lessons, performance tasks, and investigations across grade levels in Amplify Desmos Math California are aligned to one or more of the California Environmental Principles and Concepts. Click the links below to view how the California Environmental Principles and Concepts are represented in each grade level.

Category 2: Program Organization

Amplify Desmos Math California thoughtfully combines conceptual understanding, procedural fluency, and application. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals.

Big Ideas

Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons. Please refer to Keeping the Big Ideas at the Center (linked below) for specific lesson designs and alignment with the Big Ideas for each grade level.

Program Structure

Amplify Desmos Math California combines the best of problem-based lessons, intervention, personalized practice, and assessments into a coherent and engaging experience for both students and teachers.

A diagram showing three stages: Core instruction, Integrated personalized learning, and Embedded intervention, under Screening and progress monitoring with daily tiered support.

Lessons and units in Amplify Desmos Math California are designed around a Proficiency Progression, a model that steps out problem-based learning by systematically building students’ curiosity into lasting grade-level understanding.

Five steps for learning: 1. Activate prior knowledge, 2. Collaborate, 3. Refine ideas, 4. Guide to understanding, 5. Practice and extend for lasting understanding.

In the Proficiency Progression, lessons begin by activating students’ natural curiosity and offering opportunities to generate new ideas through collaboration. Teachers are then able to refine ideas through intentional facilitation and guide students to grade-level understanding, while students retain the ability to use different strategies and methods to show their comprehension of the content. Students are provided ample opportunities to develop lasting understanding.

Scope and Sequence

Below you can view the scope and sequence for each grade level. 

A chart displaying seven kindergarten math units with themes, number of instructional days, and assessment days, totaling 136 suggested instructional days.
Grade 1 instructional units overview showing 7 units on math topics, total suggested days is 153, with each unit listing instructional and assessment days.
Grade 2 math curriculum map showing 8 units with topics, number of instructional and assessment days, and total days; suggested instructional days: 156.
Seven instructional units are shown, each with a title, icon, number of instructional and assessment days, and total days; a note suggests 150 instructional days in total.
A Grade 4 math curriculum overview showing seven units with titles, number of instructional days, and assessment days; the suggested total instructional days is 152.
A curriculum map displays seven math units with icons, titles, instructional days, and assessment days, totaling 149 suggested instructional days.
A chart showing Grade 6 math units, each with instructional days, assessment days, and optional days. Total suggested instructional days is 142, plus 19 optional days.
Overview of Grade 7 math curriculum units, showing unit titles, number of instructional, assessment, and optional days for each, with a total of 125 instructional days plus 22 optional days.
Eight illustrated cards display Grade 8 math units, each with the unit title, topics covered, number of instructional and assessment days, and a total of 131 suggested instructional days.
Curriculum chart showing eight units split into two volumes, with topics, instructional days, assessment days, and optional days listed for each unit over an accelerated 6th-grade year.
A chart displays the breakdown of Accelerated 7 math units, indicating topics, number of instructional days, assessment days, and optional days for each of the nine units across two volumes.

Lesson Design and Structure

A four-part diagram shows: Warm-Up, Activities with a graph of student ideas to grade-level understanding, Synthesis with notes, and Practice and differentiation with students building a structure.

Amplify Desmos Math California is designed with a structured approach to problem-based learning that systematically builds on students’ curiosity and allows students to grapple with the Big Ideas of the California Framework. Every lesson activity is organized into a Launch, Monitor, Connect format.

  • Launch: The launch is a short, whole-class conversation that creates a need or excitement, provides clarity, or helps students connect their prior knowledge or personal experience, which ensures that everyone has access to the upcoming work.  
  • Monitor: As students work individually, in pairs, or in groups, teachers explore student thinking, ask questions, and provide support to help move the conversations closer to the intended math learning goal. 
  • Connect: Teachers connect students’ ideas to the key learning goals of the lesson, facilitating class discussions that help synthesize and solidify the Big Ideas 

Each lesson within Amplify Desmos Math California follows the same structure. 

  • Warm-Up: Every Amplify Desmos Math California lesson begins with a whole class Warm-Up. Warm-Ups are an invitational Instructional Routine intended to provide a social moment at the start of the lesson in which every student has an opportunity to contribute. Warm-Ups may build fluency or highlight a strategy that may be helpful in the current lesson or act as an invitation into the math of the lesson.
  • Lesson Activities: Each lesson includes one or two activities. These activities are the heart of each lesson. Students notice, wonder, explore, calculate, predict, measure, explain their thinking, use math to settle disputes, create challenges for their classmates, and more. Guidance is provided to help teachers launch, monitor, and connect student thinking over the course of the activity.
  • Synthesis and Show What You Know: The Synthesis is an opportunity for the teacher and students to pull all the learning of the lesson together into a lesson takeaway. Students engage in a facilitated discussion to consolidate and refine their ideas about the learning goals, and the teacher synthesizes students’ learning. Show What You Know is a daily assessment opportunity for students to show what they know about the learning goals and what they are still learning.
  • Centers (K–5): Centers are hands-on activities for students in grades K–5 to play collaboratively to strengthen their understanding of key skills and concepts. In grades K–1, students have Daily Center Time built into every lesson. 
  • Practice and Differentiation: Daily practice problems for the day’s lesson are included both online and in the print Student Edition, including fluency, test practice, and spiral review.

Kindergarten–Grade 1

A lesson plan timeline showing phases: Warm-Up (5–10 min, whole class), Lesson Activities (25–30 min), Synthesis (10 min), Centers (15 min), and Practice (time varies).

Grades 2–5

A horizontal flowchart shows a classroom lesson sequence: Warm-Up (5–10 min), Lesson Activities (35 min), Synthesis (10 min), and Practice (time varies); groupings vary.

Grades 6–8

A horizontal timeline shows four lesson segments: Warm-Up (5 min), Lesson Activities (30 min), Synthesis (10 min), and Practice (time varies).

Routines

Amplify Desmos Math California features a variety of lesson routines. Instructional routines and Math Language Routines (MLRs) are used within lessons to highlight student-developed language and ideas, cultivate conversation, support mathematical sense-making, and promote meta-cognition. Both are called out at point-of-use within the Teacher Edition and Teacher Presentation Screens. Below are the types of routines used throughout the Amplify Desmos Math California curriculum:

  • MLR1: Stronger and Clearer Each Time
  • MLR2: Collect and Display
  • MLR3: Critique, Correct, Clarify
  • MLR5: Co-Craft Questions
  • MLR6: Three Reads
  • MLR7: Compare and Connect
  • MLR 8: Discussion Supports
  • Decide and Defend
  • Notice and Wonder
  • Number Talk
  • Tell a Story
  • Think-Pair-Share
  • Which One Doesn’t Belong?

Category 3: Assessments

A variety of performance data in Amplify Desmos Math California provides evidence of student learning, while helping students bolster their skills and understanding.

Unit-Level Assessment

Amplify Desmos Math California has embedded unit assessments that offer key insights into students’ conceptual understanding of math. These assessments provide regular, actionable information about how students are thinking about and processing math, with both auto-scoring and in-depth rubrics that help teachers anticipate and respond to students’ learning needs.

  • Pre-Unit Check: Each unit in grades 2–8 begins with a formative assessment designed to identify the student skills that will be particularly relevant to the upcoming unit. This check is agnostic to the standards covered in the following unit and serves not as a deficit-based acknowledgment of what students do not know, but rather as an affirmation of the knowledge and skills with which students come in.
  • End-of-Unit Assessment: Students engage with rigorous grade-level mathematics through a variety of formats and tasks in the summative End-of-Unit Assessment. A combination of auto-scored (when completed digitally) and rubric-scored items provides deep insights into student thinking. All Amplify Desmos Math California End-of-Unit Assessments include two forms.
  • Sub-Unit Quizzes: Sub-Unit Quizzes are formative assessments embedded regularly in Grades Kindergarten through Algebra 1. In these checks, students are assessed on a subset of conceptual understandings from the unit, with rubrics that help illuminate students’ current understanding and provide guidance for responding to student thinking.
  • Sub-Unit Checklists: These checklists enable teachers to observe key skills and concepts that cannot be assessed on a pencil-and-paper assessment in Kindergarten–Grade 1. The checklists outline the supports students need to achieve mathematical growth and success.
  • Performance Tasks: At the end of each unit in grades 3–8, there is a summative assessment performance task provided to evaluate students’ proficiency with the concepts and skills addressed in the unit. 

Lesson-Level Assessments

Amplify Desmos Math California lessons include daily moments of assessment to provide valuable evidence of learning for both the teacher and student. Beyond formative, summative, and benchmark assessments, students also have opportunities for self-reflection with Watch Your Knowledge Grow. Students take ownership of their learning by reflecting and tracking their progress before and after each unit.

  • Show What You Know: Each lesson has a daily formative assessment focused on one of the key concepts in the lesson. Show What You Know moments are carefully designed to minimize completion time for students while maximizing daily teacher insights to attend to student needs during the following class. 
  • Responsive Feedback™: Teachers have the ability to see and provide in-the-moment feedback as students progress through a digital lesson. Responsive Feedback motivates students and engages them in the learning process.

Diagnostic Assessment

Every grade level features an asset-based diagnostic assessment designed to be administered at the beginning of the year.  Delivered digitally and to the whole class, our diagnostic assessment is uniquely designed to reveal underlying math thinking and identify what students know about grade-level math. With data beyond just right and wrong, teachers have the type of deeper level of insights need to take the right next step.

CAASPP-Aligned Assessment Preparation

Amplify Desmos Math is designed to support students’ mathematical development through problem-based learning, differentiation, and embedded assessments. The program’s emphasis on conceptual understanding, procedural fluency, and application aligns with the mathematical practices and content standards assessed by the CAASPP.

Amplify Desmos Math California includes a CAASPP-aligned Item Bank. This standards-aligned bank of questions allows teachers to filter and search by grade and standard to find items. Once assigned on the digital platform, students will experience CAASPP-like practice with the online digital tools.

Data and Reporting

Amplify Desmos Math California provides teachers and administrators with unified reporting and insights so that educators have visibility into what students know about grade-level math—and can plan instruction accordingly for the whole class, small groups, and individual students. Reporting functionality integrates unit assessments, lesson assessments, diagnostic data, and progress monitoring for a comprehensive look at student learning. Program reports show proficiency and growth by domain, cluster, standard, and priority concept using performance data from unit assessments, then highlight areas of potential student need to allow teachers to modify their instruction and target differentiated support.

Administrator reporting provides a complete picture of student, class, and district performance, allowing administrators to implement instructional and intervention plans.

Category 4: Access and Equity

The Amplify Desmos Math California curriculum provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level content without reducing the mathematical demand of tasks. Our lessons are developed using the Universal Design for Learning (UDL) framework to proactively ensure that all learners can access and participate in meaningful, challenging learning opportunities.

Every activity has multiple entry points to ensure that all students are supported and challenged. Intervention and personalized learning activities are directly connected to the day’s content and offer students the individualized supports they need to be successful.

Each lesson and unit contains guidance for teachers on how to identify students who may need support, students who need to keep strengthening their understanding, and students who may be ready to stretch their learning. In addition, teachers are provided with recommendations for resources to use with each group of students.

Universal Design for Learning

Each lesson in the program incorporates opportunities for engagement, representation, action, and expression based on the guidelines of Universal Design for Learning (UDL).

  • Multiple Means of Engagement: Students engage in both print and digital learning, and are regularly participating in discussions and hands-on activities. Students are invited to build their own challenge for other students to solve, which provides opportunities for choice and
    autonomy, as well as joy and play.
  • Multiple Means of Representation: Students are encouraged to demonstrate their learning using mathematical representations, both print and digital, and regularly engage with their peers in analyzing multiple possible solutions. Classes engage in open-ended discussions about what individual students notice and wonder about mathematical concepts.
  • Multiple Means of Action and Expression: Learners differ in how they navigate learning environments and express what they know. Students can communicate their ideas in multiple ways, including in print, sketching, uploading photos, or recording an audio response.

Accessibility

Lesson facilitation supports

Every lesson includes at least one specific suggestion the teacher can use to increase access to the lesson without reducing the mathematical demand of the tasks. These suggestions address the following areas:

  • Visual-spatial processing
  • Conceptual processing
  • Executive functioning
  • Memory and attention
  • Fine motor skills

Accessibility tools

Students have the ability to control accessibility tools so that each learning experience is customized to their individual needs. In many instances, these tools can be turned on or off at any point of instruction.

  • Text to speech: Reads text instructions to students in multiple languages
  • Enlarged font: Increases the size of all text on screen
  • Braille mode: Includes narration of digital interactions
  • Language selection: Toggles between languages

Differentiation: In-Lesson Teacher Moves

Within every lesson activity, teachers can use the suggestions in the Differentiation Teacher Moves table to provide in-the-moment instructional support while students are engaged in the work of the lesson. This table can help teachers anticipate the ways students may approach the activity, and provides prompts that they can use during the lesson to Support, Strengthen, and Stretch individual students in their thinking. Teachers are provided with clear student actions and understanding to look for, each matched with immediately usable suggestions for how to respond to the student thinking illustrated in each row of the table. In addition to using these suggestions in the moment as teachers monitor student work, teachers can review the Differentiation table in advance to help them anticipate how students are likely to approach the activity.

A table showing differentiation teacher moves with examples of representing groups in different ways, support prompts, and a stretch question about patterns with more teams.

Differentiation: Beyond the Lesson

Teachers are provided with recommendations for resources to use with each group of students needing support, strengthening, and stretching after each lesson. Support, Strengthen, and Stretch resources include:

  • Mini-Lessons: 15-minute, small-group direct instruction lessons targeted to a specific concept or skill
  • Item Banks: Space for teachers to create practice and assessments by using filters and searching for standards, summative-style items, and more
  • Fluency Practice: Adaptive, personalized practice built out for basic operations and more
  • Centers (K–5): Lesson-embedded routines and practice for students that are vertically aligned across grade levels
  • Extensions: Lesson-embedded Teacher Moves including possible stretch questions and activities for students
  • Lesson Practice: Additional practice problems support every lesson
  • Math Adventures: Strategy-based math games where students engage with math concepts and practice skills in a fun digital environment
  • Lesson Summary Support: Support for students and caregivers that provides efficient explanation of the learning goal with clear examples

Math Identity and Community

The Math Identity and Community feature supports teachers in helping students build confidence in their own mathematical thinking, develop skills to work with and learn from others when doing math, and learn how math is an interwoven part of their broader community. The embedded prompts throughout the lessons are designed to highlight what it means to be good at math, the value of sharing ideas, and the power of flexible and creating thinking. Here are some examples of the Math Identity and Community supports embedded in each lesson:

  • I can be all of me in math class. You will work with partners every day in math class. What do you want your partners to know about you? 
  • We are a math community. What does good listening look like and sound like in a math community? 
  • I am a doer of math. What math strengths did you use today?

Unit Stories

Every unit in grades K–5 contains a Unit Story. These Unit Stories are brief fiction stories read aloud by the teacher at the beginning of each unit that connect to the math of the unit and introduce characters that students will get to know as they engage in the unit. Teachers read the story aloud from their Teacher Edition while projecting illustrations for students from the story, found in the Teacher Presentation Screens for the story. Across the unit, the Unit Story context and characters are used at appropriate points to inspire and engage students in the math as well as in reflections about their math identity and community.

Math Language Development

Every lesson in Amplify Desmos Math California includes opportunities for all students to develop mathematical language as they experience the content. Amplify Desmos Math California purposefully progresses language development from lesson to lesson and across units by supporting students in making their arguments and explanations stronger, clearer, and more precise. This systematic approach to the development of math language can be broken down into the following four categories of support:

  • Vocabulary: Units and lessons start by surfacing students’ language for new concepts, then building connections between their language and the new vocabulary for that unit. This honors the language assets that students bring into their learning.
  • Language goals: Language goals attend to the mathematics students are learning, and are written through the lens of one or more of four language modalities: reading, writing, speaking, and listening.
  • Math Language Routines: Math Language Routines are used within lessons to highlight student-developed language and ideas, cultivate conversation, support mathematical sense-making, and promote meta-cognition.
  • Multilingual/English learner supports: Supports for multilingual/English learners (ML/ELs) are called out at intentional points within each lesson. These specific, targeted suggestions support ML/ELs with modifications that increase access to a task, or through development of contextual or mathematical language (both of which can be supportive of all learners). 

Multilingual and English Learner Supports

Amplify partnered with the English Learner Success Forum (ELSF), a national nonprofit organization that advocates for high-quality instructional materials that are inclusive of multilingual learners. ELSF reviewed Amplify Desmos Math California, and provided directional guidance and feedback to ensure that the program reflects their research-based instructional strategies for multilingual/English learners.

Our Math Language Development Resources book contains lesson-specific strategies and activities for all levels of English Learners (i.e., Emerging, Expanding, Bridging). With support for every lesson, teachers are empowered to help all students, regardless of their language skills, to participate fully, grasp the material, and excel in their mathematical journey.

Amplify Desmos Math California includes a digital glossary for languages other than Spanish. Translations will be provided for up to nine languages.

Amplify Desmos Math California will include Spanish student-facing materials beginning in the 2026–27 school year.

Category 5: Instructional Planning and Support

Amplify Desmos Math California includes a variety of embedded instructional supports to empower teachers to lead effectively and gain actionable insights into student growth and progress. Teachers are equipped with a comprehensive set of resources designed to fulfill the requirements of Category 5.

Within the Teacher Edition front matter:

  • Scope and sequence
  • Big Ideas, Drivers of Investigation, and Content Connections
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

Within each Unit and Sub-Unit Overview:

  • Big Ideas, Drivers of Investigation, and Content Connections
  • Math that Matters Most
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

Within each Lesson:

  • Big Ideas, Drivers of Investigation, and Content Connections
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

At the course level (within the Teacher Edition front matter):

  • Navigating the Program (both print and digital)
  • Facilitating Lesson Activities with Launch, Monitor and Connect
  • Overview of the Digital Facilitation Tools

At the lesson level:

  • Suggestions for timing
  • What materials to prep
  • How to organize and group students 
  • Key lesson takeaways with the Synthesis
  • Recommendations for Differentiation
  • Strategies for intervention and extensions (in the Intervention, Extensions, and Investigation Resources book)

At the activity level:

  • Differentiation recommendations
  • Accessibility tips
  • ML / EL tips
  • Teacher look-fors
  • Recommended Teacher Moves
  • Prompts for guiding student thinking 
  • Sample student responses

A variety of language development supports are provided within the Student and Teacher Editions and Math Language Development Resources book. 

At the lesson level:

  • Diagrams and visuals
  • Sentence frames and word banks
  • Graphic organizers, including Frayer models
  • Vocabulary routines
  • Embedded language supports aligned to the CA ELDs
  • Lesson-specific strategies for Emerging, Expanding, and Bridging

At the unit level: 

  • Words With Multiple Meanings
  • Contextual vocabulary

At the course level:

  • English/Spanish cognates
  • Multilingual Glossary 
  • Additional Practice Resources book
  • Assessment Resources book 
  • Assess and Respond guidance paired with each assessment opportunity
  • Show-What-You-Know activities
  • Answer keys and rubrics 
  • Performance tasks

Grade K

Unit 1: Count Sequence and Numbers to 5

Module 1: Represent Numbers to 5 with Objects

Lesson 1: Represent 1 and 2Connecting Cubes
Lesson 2: Represent 3 and 4Skye’s Style
Matching Groups
Designing Shoes With Skye

Unit 2: Count Sequence and Numbers to 10

Module 7: Represent Numbers 6 to 10 with Objects

Module 10: Compare Numbers to 10

Lesson 4: Compare Groups Within 10 by CountingMore, Fewer, or the Same
Fingers and Counters
Lesson 5: Compare Groups Within 10 by MatchingComparing Words
Forest Friends

Module 11: Add To and Take From Within 10

Module 12: Put Together and Take Apart Within 10

Lesson 3: Solve Put Together Problems Within 10How Many Objects in Pictures?
How Will You Count?
What Does It Mean to Add?
Lesson 4: Solve Take Apart Problems Within 10What Does It Mean to Subtract?
Lesson 5: Solve Word Problems Within 10The Bus Depot

Module 13: Ways to Make Numbers to 10

Lesson 4: Ways to Make 10Harry’s Hamster Wheel
Harry Explores Space
Lesson 5: Make 10 From a Given NumberShowing What We Know About 10
Lesson 1: Ways to Make 6 and 7Harry Explores the Ocean

Unit 3: Geometry

Module 14: Analyze and Compare Three-Dimensional Shapes

Module OpenerWhat’s That Shape?
Lesson 5: Build ShapesBuilding Solid Shapes

Module 15: Describe Position of Objects

Module 16: Analyze and Compare Two-Dimensional Shapes

Lesson 7: Compare Two-Dimensional and Three-Dimensional ShapesSo Much Sorting
What’s That Shape Called?
Another Shape

Unit 4: Number and Operations in Base Ten

Module 17: Place Value Foundations-Represent Numbers to 20

Lesson 3: Compose Ten Ones and Some More Ones to 19Investigate: Packing Snacks
Lesson 4: Represent Numbers to 20Getting Ready for the Game
How Many on the Field?
Pass, Shoot, Score

Module 18: Place Value Foundations-Represent Number to 20 with a Written Numeral

Lesson 1: Count and Write 11 to 14Jersey Jam!
Lesson 3: Count and Write 16-19People at the Park

Grade 1

Unit 1: Ways to Add and Subtract

Module 2: Subtraction Strategies

Lesson 2.1: Represent SubtractionPacking a Picnic
Lesson 2.2: Count BackWhat’s the Difference?
Lesson 2.3: Count on to SubtractLeaping Lily Pads!

Module 3: Properties of Operations

Lesson 3.6: Determin Equatl and Not EqualReplanting Huli

Module 4: Apply Addition and Subtraction Relationships

Lesson 4.2: Represent Related FactsSame Number, Different Ways
Lesson 4.3: Identify Related FactsKitten Coaster
Lesson 4.6: Solve for Unknow AddendTutu’s Garden in Maui

Module 5: Understand Add to and Take From Problems

Lesson 5.4: Solve Add To and Take From ProblemsA Community Working Together
Helping Others
Making 10

Module 6: Understand Put Together and Take Apart Problems

Lesson 6.3: Represent Addend and Unknown Problems with Objects and DrawingInvestigate: Let’s Grow!

Module 8: Data

Lesson: 8.2 Represent Data with Picture GraphsShapes Ying Saw

Unit 3: Numbers to 120

Module 10: Count and Represent Numbers

Lesson 10.4: Decompose Numbers in Different WaysInvestigate: Game Points
Lesson 10.5: Represent, Read, and Write Numbers from 100 to 110From Head to Claw
From Wing Tip to Wing Tip
Measuring More Wingspans
Lesson 10.5: Represent, Read, and Write Numbers from 110 to 120From Head to Claw
From Wing Tip to Wing Tip
Measuring More Wingspans

Unit 4: Addition and Subtractoin in Base Ten

Module 12: Understand Addition and Subtraction with Tens and Ones

Lesson 12.1: Representing Adding TensMeeting Yara
It’s a Match
From Park to Table
Lesson 12.3: Add and Subtract TensHow Many Cubes?
Boris’s Thimbles
How Many Tens?

Module 13: Two-Digita Addition and Subtraction

Lesson 13.1: Use Hundred Charts to Show Two-Digit Addtion and Subtraction.Investigate: Squashes at the Playground
Lesson 13.2: Understand and Explain Place Value AdditionTown Helpers
Making Squash Butter

Unit 6: Measurment

Module 16: Fraction Foundations

Lesson 16.1: TAke Apart Two-Dimensional ShapesFair and Square
Lesson 16.2: Identify Equal or Unequal PartsOne of the Parts, All of the Parts
Lesson 16.4: Partition Shapes into FourthsA Bigger Part

Grade 2

Unit 1: Numbers and Data

Module 1: Fluency for Addition and Subtraction Within 20

Lesson 1.5: Use the Make a Ten Strategy to AddExploring Within 10
Ways to Make 10

Module 1: Fluency for Addition and Subtraction Within 21

Lesson 1.6: Use a Tens Fact to SubtractExploring Within 10
Ways to Make 10

Module 2: Equal Groups

Lesson 2.1: Identify Even and Odd NumbersCan You Share?
Is It Even or Odd?
Lesson 2.2: Write Equations to Represent Even NumbersEverybody, Find A Partner!

Module 3: Data

Lesson 3.5: Draw bar graphs to Represent DataAwesome Aquariums

Unit 2: Place Value

Module 4: Understand Place Value

Lesson 4.1: Group Tens as HundredsWhat Makes a Hundred?
Lesson 4.2: Understand Three-Digit NumbersWhat’s the Value?
Lesson 4.4: Represent Numbers with Hundreds, Tens, and OnesMail Call!
What’s Your Name?

Module 5: Read, Write, and Show Numbers to 1000

Lesson 5.3: Different Ways to Write NumbersA New Representation
Lesson 5.4: Different Ways to Show NumbersAll the Ways!

Module 6: Use Place Value

Lesson 6.1: Count Within 1000Investigate
Turtle Hurdle
Lesson 6.5: Use Symbols to Compare NumbersTime to Line Up!

Unit 3: Money and Time

Module 7: Coins

Lesson 7.1: Relate Place Value to CoinsInvestigate
Lesson 7.2 Identify and Find Value of CoinsDiscovering Coins (Part 1)
Lesson 7.3: Compute the Value of Coin CombinationsHow Much Money?
Lesson 7.4: Show Amounts in Different WaysDiscovering Coins (Part 2)
The Toy Stand

Module 8: Dollar Amounts

Lesson 8.3: Solve Problems Involving MoneyThe Craft Stand at the Block Party

Unit 5: Three-Digita Addition and Subtraction

Module 16: Three-Digit Addition

Lesson 16.1: Use Drawing to Represent Three-Digit AdditionThere’s Something About Berries
Lesson 16.2: Decomposte Three-Digit AddendsBaking With Skunk

Unit 6: Measurement

Module 18: Lengths in Inches, Feet, and Yards

Lesson 18.4: Make Line Ploits to Show Measurement DataMessy Measurements
Bracelets and Wristbands

Module 20: Relate Addition and Subtraction to Length

Lesson 20.1: Relate Inches to a Number LineInvestigate
Time to Line Up!
What’s That Number?
Lesson 20.2: Add and Subtract Lengths in InchesLengths of Jungle Animals
Lesson 20.3: Relate Centimeters to a Number LineInvestigate
Time to Line Up!
In Full Bloom

Unit 7: Geometry and Fractions

Module 21: Two- and Three- Dimensional Shapes

Lesson 21.2 Identify and Draw Three-Dimensional ShapesMore to Measure
Lesson 21.2: Identify and Draw Two-Dimensional ShapesFrame It!
Measure It, Draw It

Grade 3

Unit 1: Understand Multiplication and Area

Module 1: Understand Multiplication

Lesson 1.1: Count Equal GroupsEqual Groups
Lesson 1.3: Represent Multiplication with ArraysArrays of Flavor
Lesson 1.4: Understand the Commutative Property of MultiplicationArrays of Flavor

Module 2: Relate Multiplication and Area

Lesson 2.1 Understand Area by Counting Unit SquareInvestigate: Comparing Rugs
Which Covers More Space?
Lesson 2.2: Measuring Area by Counting Unit SquaresTiling Figures
Area Hunt
Lesson 2.3: Relate Area to Addition and MultiplicationRectangles and Arrays

Unit 2: Multiplication and Division

Module 7: Relate Multiplication and Division

Lesson 7.7: Build Fluency with Multiplication and DivisionRelating Quotients to Familiar Products

Module 8: Apply Multiplication and Division

Lesson 8.3: Use Multiplication and Division to Solve Problem SituationsIt’s Chili in Here!
Lesson 8.4: Solve Two-Step ProblemsDivision and Multiplication Equations

Unit 3: Addition and Subtraction Strategies

Module 9: Addition and Subtraction Strategies

Lesson 9.3: Use Properties to AddHow Would You Solve It?
Lesson 9.4: Use Mental Math to Assess ReasonablenessAdding Strategically

Module 10: Addition and Subtraction Within 1000

Lesson 10.1: Use Expanded Form to AddWhat Is an Algorithm?
Lesson 10.2: Use Place Value to AddAdding Your Way
Using Fewer Digits
Lesson 10.5: Choose a Strategy to Add or SubtractDetermining Sums of 2 or More Addends

Unit 4: Fractions

Module 13: Understand Fractions as Numbers

Lesson 13.4: Represent and Name Fractions on a Number LineFractions on the Number Line
Lesson 13.5: Express Whole Numbers as FractionsCat Crossing
Lesson 13.6: Represent and Name Fractions Greater Than 1Location, Location, Location

Unit 5: Measurement and Data

Module 18: Represent and Interpret Data

Lesson 18.4: Make a Bar GraphPuppy Pile
2, 5, or 10?
Egg-cellent Pick
Lesson 18.5: Use Line Plots to Display Measurement DataHow Long Is It?
More Precise Measurements
Same Lengths, Different Names
Lesson 18.6: Make Line Plots to Display Measurement DataThe Plot Chickens
Let’s Make a Line Plot

Unit 6: Geometry

Module 19: Define Two-Dimensional Shapes

Lesson 19.1: Describe ShapesPiho’s Shapes
Lesson 19.4: Define QuadrilateralsRectangles, Squares, and Rhombuses

Module 20: Categorize Two-Dimensional Shapes

Lesson 20.1: Draw QuadrilateralsMore Quadrilaterals

Grade 4

Unit 1: Place Value and Whole Number Operations

Module 3: Interpret and Solve Problem Situations

Lesson 3.1: Explore Multiplicative ComparisonsSticker Mania
Lesson 3.4: Use Comparison to Solve Problem SituationsRepresenting “Times as Many”
Going Swimming

Unit 2: Multiplication and Division Problems

Module 4: Mental Math and Estimation Strategies

Lesson 4.3: Estimate Products by 1-Digit NumbersA Reasonable Answer

Module 5: Multiply by 1-Digit Numbers

Lesson 5.1: Represent MultiplicationInvestigate: Packing Lei
Lesson 5.2: Use Area Models and the Distributive Property to MultiplyCounting Flowers for Lei
Lesson 5.4: Multiplying Using Partial ProductsThree of a Kind
Lesson 5.6: Multiplying 3-Digit and 4-Digit NumbersA Lei Making Workshop

Unit 3: Extend and Apply Multiplication

Module 8: Extend and Apply Multiplication

Lesson 8.1: Multiply with TensGrowing Flowers for the Lei
Lesson 8.3: Relate Area Model and Partial ProductsDouble Decomposition
Lesson 8.4: Multiplying Using Partial ProductsRevisiting Strategies
Lesson 8.7: Solve Multi-step Problems and Assess ReasonablenessHow Many Supplies?

Unit 4: Fractions and Decimals

Module 10: Algebraic Thinking and Number Theory

Lesson 10.1: Investigate FactorsHamster Homes
Lesson 10.2: Identify FactorsFactor or Multiple?
Lesson 10.4: Identify Prime and Composite NumbersA Number Game
Lesson 10.5 Generate and Analyze Number PatternsHow Does It Grow?

Module 11: Fraction Equivalence and Comparison

Lesson 11.1: Compare Fractions Using Viaula ModelsInvestigate: Building Your Own Number Line
Lesson 11.2: Compare Fractions Using BenchmarksFraction Strips
Lesson 11.6: Compare Fractions Using Common DenominatorsChop It
Lesson 11.7: Use Comparison to Order FractionsAll Kinds of Fractions

Module 12: Relate Fractions and Decimals

Lesson 12.1: Represent Tenths as Fractions and DecimalsA New Way to Write Tenths
Lesson 12.2 Represent Hundredths as Fractions and DecimalsA New Way to Write Hundredths
Lesson 12.3: Identify Equivalent Fractions and DecimalsAre They Equivalent?
Lesson 12.4: Compare DecimalsHow Can You Compare?
Robot Factory
What’s the Order

Module 13: Use Fractions to Understand Angles

Lesson 13.2: Explore AnglesAngle Adventures
Lesson 13.3: Relate Angles to Fraction Part of a CircleThe Spin on Angles
Lesson 13.6: Join and Separate AnglesAngles in Motion

Module 14: Understand Addition and Subtraction of Fractions with Like Denominators

Lesson 14.2: Joining Parts of the Same WholePizza Problems

Module 15: Add and Subtract Fractions and Mixed Numbers with Like Denominators

Lesson 15.1: Add and Subtract Fractions to Solve ProblemsMath Pizzeria

Unit 6: Two-Dimensional Figures and Symmetry

Module 18: Symmetry and Patterns

Lesson 18.3: Generate and Identify Shape PattersHow Does It Grow?

Grade 5

Unit 1: Whole Numbers, Expressions, and Volume

Module 1: Whole Number Place Value and Multiplication

Lesson 1.3: Use a Pattern to Multiply by Multiplies of 10, 100, and 1000Partial Products Everywhere
Monarch Butterflies
All About That Base
Lesson 1.5: Multiply Multi-Digit NumbersHow Do They Compare?

Module 2: Understand Division of Whole Numbers

Lesson 2.4: Use Partial QuotientsEmptying the Water Tank

Module 5: Volume

Lesson 5.2: Understand VolumeWhich is Largest
Lesson 5.3: Estimate VolumePacking the Barge
Lesson 5.6: Find Volume of Composed FiguresPutting it Together
Figures Made of Prisms

Unit 3: Multiplying Fractions and Mixed Numbers

Module 8: Understand Multiplication of Fractions

Lesson 8.1: Explore Groups of Equal Shares to Show MultiplicationInvestigate: Sharing Sandwiches
Investigate: Folding Paper
Lesson 8.2: Represent Multiplication of Whole Numbers by FractionsSharing More Sandwiches
Lesson 8.3: Represent Multiplication with Unit FractionOne Part of One Part
Lesson 8.4: Represent Multiplication of FractionsDance Breaks
Parts of Parts
Making Food
Lesson 8.5: Use Representations of Area to Develop ProceduresOne Part of One Part
Installing Turf
Rows and Columns
Lesson 8.6: Interpret Fraction Multiplication as ScalingChores at Animal Haven
The Re-size-inator
Lesson 8.7: Multiplying FractionsMessy Multiplication

Module 9: Understand and Apply Multiplication of Mixed Numbers

Lesson 9.3: Practice Multiplication with Fractions and Mixed NumbersMessy Multiplication
Applying Fraction Multiplication

Unit 4: Divide Fractions and Convert Customary Units

Module 10: Understand Division with Whole Numbers and Unit Fractions

Lesson 10.1: Interpret a Fraction as DivisionDivision Story Problems
Making Generalizations

Unit 5: Add and Subtract Decimals

Module 13: Decimal Place Value

Lesson 13.1: Understand ThousandthsWhat Is One Thousandth?
Lesson 13.2: Read and Write Decimals to ThousandthsSay What?
Lesson 13.3: Round DecimalsWhich Way Down the Mountain?
Rounding Races
Lesson 13.4: Compare and Order DecimalsInvestigate: Numbers Between Numbers
The Claw
Selling Collectibles

Unit 6: Multiply Decimals

Module 15: Multiply Decimals and Whole Numbers

Lesson 15.1: Understand Decimal Multiplication PatternsPlace Value Patterns
Powers of 10 Parade

Unit 7: Divide Decimals and Convert Customary Units

Module 17: Understand Decimal Division Patterns

Lesson 17.1: Understand Decimal Division PatternsPowers of 10 Parade

Unit 8: Graphs, Patterns, and Geometry

Module 19: Graphs and Patterns

Lesson 19.1: Describe a Coordinate SystemCreating a Coordinate System
Lesson 19.2: Understand Ordered PairsBullseye!
Lesson19.4: Generate and Identify Numerical PattermsCoordinating Satellite Repairs

Grade 6

Unit 1: Number Systems and Operations

Module 1: Integer Concepts

Lesson 1: Identify and Interpret IntegersCan You Dig It?
Lesson 2: Compare and Order Integers on a Number LineOrder in the Class

Module 3: Fraction Division

Lesson 1: Understand Fraction DivisionFlour Planner
Fill the Gap

Module 4: Fluency with Multi-Digit Decimal Operations

Lesson 1: Add and Subtract Multi-Digit DecimalsDishing Out Decimals
Decimal Diagrams and Algorithms
Lesson 4: Divide Multi-Digit DecimalsMovie Time

Unit 2: Ratio and Rate Reasoning

Module 5: Ratio and Rates

Lesson 1: Understand the Concept and Language of RatiosPizza Maker
Lesson 2: Represent Ratios and Rates with Tables and GraphsFruit Lab
Disaster Preparation
Lesson 3: Compare Ratios and RatesModel Trains
Lesson 4: Find and Apply Unit RatesWorld Records
Lesson 5: Solve Ratio and Rate Problems Using Proportional ReasoningWelcome to the Robot Factory
More Soft Serve

Module 6: Apply Ratios and Rates to Measurement

Lesson 2: Use Rate Reasoning to Convert withing Measurement SystemsSoft Serve
Many Measurements

Module 7: Understand, Express, and Compare Percent Ratios

Lesson 1: Understand, Express, and Compare Percent RatiosLucky Duckies

Unit 3: Expressions, Equations, and Inequalities

Module 8: Numerical and Algebraic Expressions

Lesson 3: Write Algebraic Expressions to Model SituationsProducts and Sums

Module 9: Solve Problems Using Equations and Inequalities

Lesson 1: Write Equations to Represent SituationsWeight for It
Five Equations
Lesson 2: USe Additions and Subtraction Equations to Solve ProblemsHanging Around
Hanging It Up
Lesson 3: Use Multiplication and Division Equations to Solve ProblemsHanging Around
Hanging It Up
Lesson 4: Use One-Step Equations to Solve a Variety of ProblemsSwap and Solve
Lesson 5: Write and Graph InequalitiesTunnel Travels

Module 10: Real-World Relationships Between Variables

Lesson 1: Represent Equations in Tables and GraphsSubway Fares
Lesson 2: Write Equations from Verbal DescriptionsSubway Fares

Unit 4: Relationships in Geometry

Module 11: Polygons on the Coordinate Plane

Lesson 4: Find the Perimeter and Area on the Coordinate PlaneShapes on a Plane

Module 12: Area of Triangles and Special Quadrilaterals

Lesson 1: Develop and Use the Formula for Area of ParallelogramsExploring Parallelograms, Part 1
Exploring Parallelograms, Part 2
Off the Grid, Part 1
Lesson 2: Develop and Use the Formula for Area of TrianglesExploring Triangles
Triangles and Parallelograms
Off the Grid, Part 2
Lesson 3: Develop and Use the Formula for Area of TrapezoidsPile of Polygons
Lesson 4: Find Area of Composite FiguresPuzzling Areas
Letters

Module 13: Surface Area and Volume

Lesson 1: Explore Nets and Surface AreaRenata’s Stickers

Unit 5: Data Collection and Analysis

Module 14: Data Collection and Displays

Lesson 2: Display Data in Dot PlotsMinimum Wage
Lesson 3: Make Histograms and Frequency TablesThe Plot Thickens

Module 15: Measure of Center

Lesson 2: Find Measures of CenterToy Cars
Lesson 3: Choose a Measure of CenterHoops

Grade 7

Unit 1: Proportional Relationships

Module 1: Identify and Represent Proportional Relationships

Lesson 1: Explore RelationshipsPaint
Lesson 2: Recognize Proportional Relationships in TablesTwo and Two
Lesson 3: Compute Unit Rates Involving FractionsDinoPops
Lesson 4: Recognize Proportional Relationships in GraphsScale Factor Challenges
Lesson 5: Use Proportional Relationships to Solve Rate ProblemsScaling Robots
Lesson 6: Practice Proportional Reasoning with Scale DrawingsScaling Machines
Make it Scale
Tiles
Will It Fit

Module 2: Proportional Reasoning with Percents

Lesson 1: Percent ChangeMosaics
Percent Machines
Lesson 2: Markups and DiscountsMore and Less
All the Equations
Lesson 3: Taxes and Gratuities100%
Lesson 5: Simple InterestBack in My Day

Unit 2: Rational Number Operations

Module 3: Understand Addition and Subtraction of Rational Numbers

Lesson 1: Add or Subtract a Positive Integer on a Number lineFloats and Anchors
Lesson 3: Use a Number Line to Add and Subtract Rational NumbersDraw Your Own

Module 4: Add and Subtract Rational Numbers

Lesson 1: Compute Sums of IntegersMore Floats and Anchors
Lesson 2: Compute Differences of IntegersMore Floats and Anchors
Lesson 4: Apply Properties to Multi-step Addition and Subtraction ProblemsInteger Puzzles

Unit 3: Model with Expressions, Equations, and Inequalities

Module 7: Solve Problems Using Expressions and Equations

Lesson 1: Write Linear Expressions in Different Forms for Different SituationsCollect the Squares
Lesson 3: Write Two-Step Equations for SituationsKeeping it True
Lesson 5: Apply Two-Step Equations fo Find Angle MeasuresFriendly Angles
Missing Measures

Module 8: Solve Problems Using Inequalities

Lesson 1: Understand and Apply Properties to Solve One-Step InequalitiesI Saw the Signs
Lesson 2: Write Two-Step Inequalities for SituationsUnbalanced Hangers
Shira the Sheep
Lesson 3: Apply Two-Step Inequalities to Solve ProblemsBudgeting
Write Them and Solve Them

Unit 4: Geometry

Module 9: Draw and Analyze Two-Dimensional Figures

Lesson 2: Draw Circles and Other FiguresCan You Build It

Module 10: Analyze Figures to Find Circumference and Area

Lesson 1: Derive and Apply Formulas for CircumferenceMeasuring Around
Lesson 2: Derive and Apply a Formula for the Area of a CircleWhy Pi?
Lesson 4: Areas of Composite FiguresArea Challenges

Unit 5: Sampling and Data Analysis

Module 13: Use Statistics and Graphs to Compare Data

Lesson 3: Compare Means Using MAD and Repeated SamplingCrab Island

Module 14: Understand and Apply Experimental Probability

Lesson 1: Understand Probability of an EventHow Likely
Lesson 2: Find Experimental Probability of Simple EventsProb-bear-bilities

Module 15: Find Theoretical Probability of Simple Events

Lesson 1: Find Theoretical Probability of Simple EventsIs It Fair?

Grade 8

Unit 1: Transformational Geometry

Module 1: Transformations and Congruence

Module 2: Transformations and Similarity

Lesson 1: Investigate Reductions and EnlargementsSketchy Dilations
Lesson 2: Explore DilationsDilation Mini Golf
Lesson 3: Understand and Recognize Similar FiguresSocial Scavenger Hunt

Unit 2: Linear Equations and Applications

Module 3: Solve Linear Equations

Lesson 1: Solve Multi-Step Linear EquationsEquation Roundtable
Lesson 3: Apply Linear Equations

Module 4: Angle Relationships

Lesson 1: Develop Angle Relationships for TrianglesPuzzling It Out
Lesson 3: Explore Prarallel Lines Cut by a TransversalPuzzling It Out

Unit 3: Relationships and Functions

Module 5: Proportional Relationships

Lesson 2: Derive y = mxTurtle Time Trials
Lesson 3: Interpret and Graph Proportional RelationshipsTurtle Time Trials
Lesson 4: Compare Proportional RelationshipsTurtle Time Trials

Module 6: Understand and Analyze Functions

Lesson 1: Understand and Graph FunctionsGuess My Rule
Lesson 2: Derive and Interpret y = mx + bFlags
Translations
Lesson 3: Interpret Rat of Change and Initial ValueStacking Cups (Optional)
Lesson 4: Construct FunctionsWater Cooler
Lesson 5: Compare FunctionsUps and Downs
Lesson 6: Describe and Sketch Nonlinear FunctionsTurtle Crossing
The Tortoise and the Hare

Module 7: Systems of Linear Equations

Lesson 1: Represent Systems by GraphingMake Them Balance
Lesson 2: Solve Systems by GraphingLine Zapper

Unit 4: Statistics and Probability

Module 8: Scatter Plots

Lesson 1: Construct Scatter Plots and Examine AssociationRobots
Dapper Cats
Lesson 2: Draw and Analyze Trend LinesInterpreting Scatter Plots
Find the Fit (called Fit Fights in Desmos Math)
Lesson 3: Interpret Linear Data in ContextInterpreting Slopes
Scatter Plot City
Animal Brains

Module 9: Two-Way Tables

Lesson 1: Construct and Interpret Two-Way Frequency TablesFinding Associations
Lesson 3: Interpret Two-Way Relative Freqency TablesFinding Associations

Unit 5: Real Numbers and the Pythagorean Theorem

Module 10: Real Numbers

Lesson 2: Investigate RootsRoot Down

Module 11: The Pythagorean Theorem

Lesson 1: Prove the Pythagorean TheoremTriangle Tracing Turtle
Lesson 3: Apply the Pythagorean TheoremTaco Truck

Unit 6: Exponents, Scientific Notation, and Volume

Module 12: Exponents and Scientific Notation

Lesson 1: Know and Apply Properties of ExponentsCircles
Power Pairs
Lesson 2: Understand Scientific NotationSpecific and Scientific (formerly Solar System)
Lesson 3: Compute with Scientific NotationBalance the Scale

Module 13: Volume

Lesson 1: Find Volume of CylindersCylinders
Lesson 2: Find Volumes of ConesCones

Algebra 1

Intro/Launch

Unit 1: Real Numbers and Connections to Algebra

Module 2: Linear Equations and Inequalities in One Variable

Lesson 2.2: Write and Solve EquationsWorking Backwards
Solving Strategies
Same Position
Lesson 2.3: Rewrite Formulas and Solve Literal EquationsVarious Variables
Lesson 2.4: Write and Solve InequalitiesPizza Delivery

Unit 2: Linear Functions and Equations

Module 3: Linear Equations in Two Variables

Lesson 3.1: Linear Equations in Standard FormShelley the Snail
Five Representations
Lesson 3.2: Slopes of Lines and Rates of ChangePlane, Train, and Automobile

Module 4: Linear Functions and Models

Lesson 4.3: Characteristics of Linear FunctionsCraft-a-Graph

Module 5: Relationships Among Linear Functions

Lesson 5.3: Compare Linear FunctionsSubway Seats
Lesson 5.4: Inverses of Linear FunctionsChip the Robot

Unit 3: Build Linear Functions and Models

Module 6: Fit Linear Functions to Data

Lesson 6.1: Scatter Plots, Correlation, and Fitted LinesCorrelation Coefficient
How Hot Is It?
City Slopes
Behind the Headlines
City Data
Lesson 6.2: Residualts and Best-Fit LinesResidual Fruit
Penguin Populations

Module 7: Discrete Linear Functions

Lesson 7.1: Arithmetic Sequences Defined RecursivelySequence Carnival
Lesson 7.2: Arithmetic Sequences Defined ExplicitlyMore Visual Patterns

Module 8: Piecewise-Defined Functions

Lesson 8.1: Graph Piecewise-Defined FunctionsPumpkin Prices

Unit 4: Linear Systems

Module 9: Systems of Linear Equations

Lesson 9.1: Solve Linear Systems by GraphingLizard Lines
Lesson 9.2: Solve Linear Systems by SubstitutionShape It Up

Module 10: Linear Inequalities

Lesson 10.2: Graph Systems of Linear InequalitiesQuilts
Seeking Solutions

Unit 5: Exponential Functions and Equations

Module 11: Exponential Functions and Models

Lesson 11.1: Exponential Growth FunctionsCarlos’s Fish

Unit 6: Build Exponential Functions and Models

Module 13: Fit Exponential Functions to Data

Lesson 13.1: Scatter Plots and Fitted Exponential CurvesDetroit’s Population, Part 1
Detroit’s Population, Part 2

Module 14: Discrete Exponential Functions

Lesson 14.1: Geometric Sequences Defined RecursivelySequence Carnival
Lesson 14.2: Geometric Sequences Defined ExplicitlyMore Visual Patterns

Unit 8: Quadratic Functions and Equations

Module 17: Use Graphing and Factoring to Solve Quadratic Equations

Lesson 17.1: Solve Quadratic Equations by Graphing Quadratic FunctionsRevisiting Visual Patterns, Part 1
Quadratic Visual Patterns
On the Fence
Plenty of Parabolas
Lesson 17.3: Solve Quadratic Equations by Factoring ax^2+bx+cStomp Rockets
Two for One
Robot Launch
Lesson 17.4: Use Special Factoring Patterns to Solve Quadratic EquationsParabola Zapper
Shooting Stars

Module 18: Use Square Roots to Solve Quadratic Equations

Lesson 18.2: Solve Quadratic Equations by Completing the SquareSquare Tactic
Lesson 18.3: Use the Quadratic Formula to Solve EquationsStomp Rockets in Space

Unit 9: Function Analysis

Module 20: Function Analysis

Lesson 20.1: Choose Among Linear, Exponential, and Quadratic ModelsSorting Relationships

Unit 10: Data Analysis

Module 22: Numerical Data

Lesson 22.1: Data Distributions and Appropriate StatisticsFinding Desmo

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

S1-05: How does coding fit in the science classroom? A conversation with Aryanna Trejo of Code.org

Podcast cover titled "Science Connections" featuring Aryanna Trejo, Season 1, Episode 5. It includes abstract illustrations of a globe and telescope, discussing coding in the science classroom.

In this episode, Eric sits down with Aryanna Trejo, a professional learning specialist of Code.org. Aryanna shares her journey from working as an elementary teacher in New York City and Los Angeles to teaching other educators at Code.org. Eric and Aryanna chat about computer literacy within the science classroom, problem-solving skills, and ways to model productive struggle for students. Aryanna also shares ways to teach coding and computer literacy in schools, no matter the classroom’s technology level. Explore more from Science Connections by visiting our main page.

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Aryanna Trejo (00:00):

I would hear teachers saying things like, “Well, I just can’t do coding; this is too hard for me; the time has passed.” And I would ask them, “Would you say that to your student about math or English?” And they would always sheepishly go, “No.” And I’d say, “Well, be as kind to yourself as you would be to your student.”

Eric Cross (00:19):

Welcome to Science Connections. I’m your host, Eric Cross. My guest today is Aryanna Trejo. Aryanna is a member of the professional learning team at Code.org. Before joining Code.org, Aryanna led computer science professional development for elementary school teachers, and served as an instructional coach for new educators. She also taught fourth and fifth grade in both New York City and in Los Angeles. In this episode, we discuss Aryanna’s journey to Code.org, where she helps educators connect coding to real life, how to use a rubber duck to solve problems, and how coding and computer science principles can be taught to students in areas without access to the internet…or even a computer. I hope you enjoy my conversation with Aryanna Trejo. So I was born and raised here, and I saw that you went to UC San Diego.

Aryanna Trejo (01:11):

I did, I did. I actually just put a deposit down on an apartment in University Heights, ’cause I’m moving back.

Eric Cross (01:16):

You’re coming back?

Aryanna Trejo (01:17):

I’m coming back. Yeah.

Eric Cross (01:19):

So if you need a classroom to visit….

Aryanna Trejo (01:21):

I would love to do more classroom observations!

Eric Cross (01:24):

Are we doing this? Let’s do—we’re making this happen.

Aryanna Trejo (01:26):

We are. Yeah. So I’ll be there. I’m moving there in April. I actually grew up in Orange County too, so I’m like a very diehard SoCal person.

Eric Cross (01:35):

So I feel like I know the answer to, hopefully—Tupac or Biggie? ‘Cause you’re on the East Coast, and you’re on the West Coast.

Aryanna Trejo (01:40):

Yeah. I like Tupac, but I have more Biggie songs committed to memory. Which is not a lot. I have “Juicy” and “Hypnotized” memorized.

Eric Cross (01:53):

All right. So you’re just memorizing, and you have the Biggie songs memorized, but not the Tupac ones.

Aryanna Trejo (01:58):

No, but I do love Tupac songs. You know, it’s like, Biggie has the flow, but Tupac has the lyrics. Nobody’s—they both have something really amazing about them.

Eric Cross (02:06):

You know, I can respect that you broke it down into both of their strengths.

Aryanna Trejo (02:11):

Thanks for buttering me up before this interview. And not….

Eric Cross (02:15):

<laugh> Oh, we already started.

Aryanna Trejo (02:16):

Huh? We already started?

Eric Cross (02:17):

We’re already started. Yeah. We’re already into this.

Aryanna Trejo (02:19):

We’re into it.

Eric Cross (02:21):

You were in the classroom, fourth and fifth grade, and you were doing TFA.

Aryanna Trejo (02:26):

I did. I did Teach For America. I was 2012, New York City Corps. Right after graduation. ‘Cause I graduated UC San Diego in 2012. So graduation was on June 17th, and I touched down at JFK on June 19th.

Eric Cross (02:40):

Even though I wasn’t in TFA, I know a lot of the fellows that are in it. And there’s just some phenomenal teachers in there. How long were you doing elementary school when you were teaching?

Aryanna Trejo (02:49):

Yeah, I taught for—well, I did, three years of teaching fourth grade. Then there happened to be an instructional coach opening in my fourth year. I took that, did some instructional coaching within the same network, and then I moved back to LA and I taught fifth grade for a year.

Eric Cross (03:11):

  1. And what was it like now? Did you go to Code.org right after the classroom?

Aryanna Trejo (03:17):

No, I didn’t. No. I transitioned after teaching fifth grade for a year in downtown Los Angeles, in the Pico-Union neighborhood. I ended up getting this email out of the blue from someone who had actually found me through the Teach for America job site. ‘Cause I was hitting the pavement; I was really looking to transition out of the classroom. And she invited me to interview with this company called 9 Dots. And they taught computer science to kids K–6 throughout Los Angeles and Compton. And I was like, “Sure, no problem. Let’s do it.” So I interviewed, I got the job, and yeah, that’s how I transitioned to 9 Dots. And then after almost four years there, I transitioned to Code.org, with the same person. Actually, she moved over to Code.org first, and then she helped me get this job.

Eric Cross (04:07):

Oh, that’s happened a lot—like, that relationship kinda carries over.

Aryanna Trejo (04:11):

Yeah. We’re meant to be coworkers.

Eric Cross (04:13):

Yeah. Are you still? Is she still there? Are you both still together?

Aryanna Trejo (04:17):

Yeah, we’re on the same team and it’s nice. I saw her last night for Happy Hour, with another coworker who’s in LA. So we’re tight. And she’s a wonderful, wonderful mentor to me.

Eric Cross (04:28):

That’s great. Did you have computer-science background, when you were doing elementary school teaching? Did you have—

Aryanna Trejo (04:34):

No. <laugh> Not at all. When I was teaching in New York City, I had like four desktop computers in my classroom, and we rarely used them. Which was such a shame. And then when I moved to Los Angeles and taught fifth grade there, we were a one-to-one school, and the joys of that are just amazing. It was just really wonderful to, you know, get the students used to typing on the computer, using different software to submit their assignments. Getting creative—as creative as you can get—with Google Slides. You know, to show off what they know. And stuff like that. That’s all I had, though. And you know, when I transitioned to 9 Dots I was like, “Sure, why not? Let’s give a shot.” And I learned a lot. It was really interesting, yeah.

Eric Cross (05:26):

And so now at Code.org you are…well, so my journey with Code.org, I’ve been in the classroom for eight years. Still in the classroom as of…an hour ago, I was there. <Laugh> And I use Code.org, and I feel like I’ve checked it periodically, and I feel like it’s evolved over the gaps. And I’ve seen it. It’s become more robust in the things that they offer, over the years I’ve been an educator. Just to kind of…could you give a thumbnail sketch? Like, what is Code.org? Who’s it for? Who’s the target audience? What resources are there?

Aryanna Trejo (06:00):

Yeah. So it’s for everyone. It is a nonprofit that provides curriculum and training and a platform for teachers and students. We provide curriculum for K through 12. It’s completely free. And it comes with lesson plans, slideshows, all that. We focus specifically on underrepresented groups. So we have targeted measures for Black students, for Native American students, for students who identify as female. That’s a huge part of our mission. But we’re really working to expand access to computer science to as many students as we can.

Eric Cross (06:41):

One of the things I’m hearing in your story is you were teaching in Compton; you were in Bronx, New York. One of the reasons why I got into the classroom is because of educators, and the impact they made on me in exposing me to science and technologies I’d never had access to. And that intentionality, that you’re going about it…are there…not just the code, but how you bring that across to different groups…are there strategies, or are there ways to connect this idea of coding to diverse groups and diverse audiences? Or is it kind of, the curriculum applies for everyone? ‘Cause in science, when I’m teaching, I’m always trying to make what I’m doing relevant to the backgrounds of my students.

Aryanna Trejo (07:28):

Sure.

Eric Cross (07:28):

So I’m teaching biology, and I’m trying to make this kind of connection. Sometimes it’s more organic; sometimes it feels kind of forced. Because it’s just not always a nice fit. But it sounds like Code.org is really about inclusion. And in the numbers that I’ve seen for representation, in especially computer science software engineers, the groups that you’re focusing on are not necessarily represented in the professional workforce. At least disproportionately.

Aryanna Trejo (07:54):

Yeah, absolutely. Yeah, that’s correct.

Eric Cross (07:57):

And so how do you go about being intentional about reaching groups that we don’t see in, you know, the Silicon Valley software engineers? How do you start that? Like, at a young age, do you look for specific schools in specific areas to say, “We are going to bring this to the school. We’re going out to these populations of the cities”? Because we’re just not seeing…you know, on the map, we’re not seeing anybody really doing anything with coding here. Or we’re not seeing the numbers come out of these areas, out of these cities, of students who are going into STEM or going into computer science fields.

Aryanna Trejo (08:41):

Yeah. I don’t necessarily work on the recruitment side of it, is the issue, in my position. But I do work on the professional learning, that is brought out to teachers. And we have a huge focus on equity throughout the workshops that we create from K–12. It’s something we’re really passionate about. We definitely aim to prepare teachers to teach computer science. That’s a huge part of it. Knowing the content, but also thinking through, “What does recruitment look like at your school to make sure that the demographics of your classroom match the demographics of your entire school?” Also, thinking through, “How can we make sure that female students feel included in your classroom? How can we make sure that we are, giving students creativity to think about, or we are setting students up to be creative and think about the problems that are in their community, and how they can use computer science to solve them, or at least work towards them?”

Eric Cross (09:39):

So solving real-world problems and that inclusion aspect…are there things like…you were saying “female or students who identify as female”…are there things that teachers can do to ensure that they’re being more inclusive? Or to recruit, or encourage more female students to take part? One of the things I was thinking of, that I’ve seen, is I’ve seen coding kind of camps.

Aryanna Trejo (10:06):

Sure.

Eric Cross (10:08):

That were specifically for a female audience. And that seemed to help with recruitment. Is that something that you see on your side?

Aryanna Trejo (10:16):

That’s not something that we set up, no. But the curriculum that I work with is CS Principles. And it’s offered as an Advanced Placement course, as well as an AP class. So that’s a curriculum that’s designed for students who are in grades 10 through 12. And so at that point, we can really talk to teachers and ask them what the recruitment strategy is. But in terms of strategies that teachers can use to recruit those students…I mean, I’ve heard over and over from lots of different teachers who identify as female that they didn’t think that computer science was for them, until they saw a role model in that position. And so just being a role model for those students is really wonderful.

Eric Cross (11:00):

And I see it too, with—like, we do “Draw a Scientist” activity, which is like a popular science thing—

Aryanna Trejo (11:05):

Sure, yeah, I’m familiar.

Eric Cross (11:05):

But it’s the same thing, right? Like, it fleshes out. My students don’t draw themselves as scientists. They draw what they perceive, based on what television says. I imagine with computer science, it’s probably really similar, when you think about “What’s a software engineer look like?” Do students tend to draw themselves? Or is it even a mystery? Because I don’t even know what a software engineer looks like.

Aryanna Trejo (11:28):

Yeah, absolutely. Well, one of the things we love to do with our professional learning workshops is talk about understanding yourself, your identities, how they show up in the classroom as biases. And, you know, things like stereotype threat. We see that as really important to understand, and think through, and consider, before you step into the classroom. So that you’re not, you know, coddling certain groups of students because you don’t believe that they are able to be successful in computer science. Holding all the students to the same expectations and believing that they can succeed. And computer science, I think a lot of the times people have this conception of it being this utopian, bias-less, technocratic field. When in reality, everything has bias. And people talk about algorithmic bias and facial recognition, but also the people who created computers and computer languages have their own bias that comes through. And I think it’s really important to show students that. So that they can, one, know what they’re working with, and two, make sure that they can create products that reduce that bias.

Eric Cross (12:50):

It’s like…it’s not objective, just because we’re creating software. Like, once it gets to a point of being so sophisticated…I think, like, AI software, right? With facial recognition? And we’re seeing more and more articles come out about, you know, predicting trends based on historical data.

Aryanna Trejo (13:12):

Sure.

Eric Cross (13:13):

But then, the trends and things that they’re seeing tend to target things that have happened in the past. But it also doesn’t take into consideration a lot of other factors that can lead to certain groups or populations being identified. And I’ve seen some articles lately about how your code is really just representation of what you put into it. And like you just said, your bias—if you have that, conscious or unconscious—you’re gonna put that into your code. And the input is gonna be an impact, is gonna impact the output.

Aryanna Trejo (13:44):

Yeah, absolutely. Or even just—and I’m ashamed to say this, ’cause this is an idea that came to me just recently, through an article that I read—but computers themselves have bias. The hardware assumes that you have vision, that you can see the screen, that you are able-bodied, that you can use your hands to work the keyboard, the mouse, et cetera, and that you don’t have to use assistive technology. You know, there are small things like that, where we think that technology, like I said, is this utopian, futuristic science…but there are biases throughout.

Eric Cross (14:19):

You’re absolutely right. I’ve never even—I’ve never even considered that. Even though I do use assistive tech, and figure it out, I’ve never thought from the ground up, the process is built for an able-bodied, sighted, hearing person.

Aryanna Trejo (14:31):

Exactly.

Eric Cross (14:32):

To be able to engage with the hardware. And then these other things, these tertiary things that we kind of add on, so that you can do this, but it’s not designed from the ground up for people who are, you know, different audiences, physically. So I’m glad you brought that up, though. Now I’ve seen—and I haven’t done this—but I know Hour of Code is a big thing. And this is something that’s ongoing. Can you talk a little bit about what Hour of Code is? I know it’s, it’s a big thing for the classroom teachers.

Aryanna Trejo (15:08):

Yeah. So Hour of Code is really exciting, and it’s just blossomed from something small to something tremendous. This year is gonna be the 10th Hour of Code. So what it is, is it happens during CS Education Week in December, during Grace Hopper’s—or to honor Grace Hopper’s birthday. She was a computer scientist and Navy Admiral. And basically the aim of it is to get as many students on the computer doing an hour of code, and demystify what coding is. You know, to do seed-planting. To show teachers that this is something that you can facilitate for your students. And also to show students like, “Hey, computer science is something you can absolutely do. Not just for an hour, but more if you want.” So, yeah. Now it’s worldwide, and it’s really exciting.

Eric Cross (15:58):

That’s awesome. And I think about teachers and I still hear the apologetic—when I’m helping teachers in the classroom with education technology—the self-deprecating “I’m a dinosaur; I’m not good with tech,” which is never true. Like, they’re better than they even realize. And I feel like sometimes there’s still a stigma, too. It’s like <laugh> The Simpsons’ Comic Book Store Guy. The condescending tech support person—

Aryanna Trejo (16:27):

Sure.

Eric Cross (16:28):

—who has that tone. And so I feel like some people have been so negatively impacted by that person. So I know when I’m helping people, I actually try to go full-spectrum the other side. But I’m thinking about teachers’ barrier to entry. Sometimes code is like, “Whoa.” And I don’t teach computer science. Do you see those barriers to entry, or at least the perception of them? And then, what’s the reality for like someone listening, and going, “I’m a fourth grade teacher,” or “I’m a humanities teacher in ninth grade.” What’s the perception that you see, versus reality, with the teachers that you train? Is it much more accessible than we think? Or is there a level of sophistication that you have to have coming into it?

Aryanna Trejo (17:10):

No, not at all. I know computer science, and that says a lot! <Laugh> You know, I know my own corner of computer science. And you know, that’s me being self-deprecating, too. But I think learning computer science has helped me in so many different ways that I wasn’t expecting. I recently took the GRE in hopes of, you know, getting back into grad school. And I think just the way that computer science teaches you to search for bugs in your code, or errors, and kind of tirelessly look at a problem from multiple different angles, I was able to carry that into the math that I was doing. And I noticed just a huge difference in the way that I approached it, and the way that I was open to it. But you asked a great question, in regards to the barriers to technology. In my position at 9 Dots, I was working directly with teachers to lead professional development with them. Sometimes it would be a full day; sometimes it would be an hour after school. And the one thing that I always had in my back pocket that was really useful is that I would hear teachers saying things like, “Well, I just can’t do coding; this is too hard for me; the time has passed.” And I would ask them, “Would you say that to your student about math or English?” And they would always sheepishly go, “No.” And I’d say, “Well, be as kind to yourself as you would be to your student.” You know, it takes some patience and nobody’s gonna get it perfect 100 percent of the time. Have I banged my head against the wall trying to solve one tiny little syntax error in my code? Absolutely! But it feels absolutely phenomenal to fix that. And I was an English major in undergrad, and I had never done computer science before. So it’s something that becomes really satisfying.

Eric Cross (19:07):

Yeah, I imagine. I had someone—a trainer or a presenter—one time bring up the fact that our students rarely get to see us learn in real time.

Aryanna Trejo (19:19):

Yeah.

Eric Cross (19:19):

So we don’t get to ever really model failure. I mean, unless we’re in a classroom situation <laughs> in our failures, with classroom management. Then they see it, they see it! But they don’t get to see us model learning failure. And I don’t mean like failure—and yes, I know, “first attempt is learning,” and “no such thing as failure”—that’s not what I’m talking about. But just when we’re not successful with our code, and then we experience real-time frustration.

Aryanna Trejo (19:42):

Yep.

Eric Cross (19:42):

And they said that is actually a great learning experience for your students to watch you go through productive struggle. And that was really liberating for me. Because now I’m in the classroom, and I’m trying to go through it with my students, and the beautiful thing was, they started helping me. We were all trying to solve the problem. And then we had this authentic problem-solving experience. I think it was like a Scratch program, where we were trying to solve, trying to embed it somewhere, or something. And then, in the background of the class: “Mr. Cross! I got it! I figured it out!” And it was this really neat bonding experience. And I felt that—your ears get red, and you get hot, ’cause you’re not—

Aryanna Trejo (20:19):

Oh yeah.

Eric Cross (20:20):

You don’t know it! And you’re in front of 36 kids! And I said, “OK, I need to tell them how I feel.”

Aryanna Trejo (20:25):

Yeah.

Eric Cross (20:26):

So I said, “Now I feel really frustrated.” Like, “I want to go through this, and here’s my thoughts.” ‘Cause I knew that it would be helpful if they saw and would hear my thoughts. So I just did a quick think-aloud and I said, “In my head, <laugh> I want to just quit,” I said, “But I realize that this is the part where my learning’s happening. So I just want you all to hear what’s going on in my brain.” And now I feel like when I’m doing coding with my students, and it’s just basic coding, I feel much more comfortable, like, not knowing. But I needed someone to release me from that “I have to be the expert in everything” to do it.

Aryanna Trejo (21:06):

And teachers are used to being the experts. Right? And they should be. And coding is just such a different landscape. But I think once you kind of give over to the power of tinkering, I think it’s really gratifying. I love being able to…you can revise a sentence, and then read your paragraph back to yourself in English, and say, “OK, I get it.” But there’s something so gratifying about changing a line of code or a block and then being able to hit play and watch your program come to life, and say, “Hmm, that’s not quite what I wanted. Let’s try something different.”

Eric Cross (21:39):

I love your connection to tinkering. ‘Cause—I had never thought about it—’cause I love tinkering with my hands. But I always think about physical things. But coding is exactly that. It’s tinkering.

Aryanna Trejo (21:47):

It’s exactly that.

Eric Cross (21:47):

That’s exactly what it is.

Aryanna Trejo (21:49):

And a lot of it is, for me, especially when I’m trying something new, it’s guess-and-check. It’s like, “OK, that didn’t work. What if I add a semicolon here? Will it finally work? Or what if I add a ‘for’ loop? Will this get me what I want?” And it’s wonderful because you have that with students as well. Like, you have that record of their thinking, and you can ask them to go step-by-step and tell you, you know, “First, I added this, because I wanted the program to do this,” and so on and so forth. And so you have that record, but you can always get rid of it. Students often wanna get completely get rid of it. That’s something that I’ve noticed a lot as I’ve taught computer science. But, once you can get them to target the specific parts of the program, tinker with that, and continue, that’s a really wonderful learning space. There was also something you said about modeling failure. I love the fact that in computer science you can model failure for your students. You said to your students, “I’m getting frustrated.” I love that, because I never got that in math. Nobody ever showed me what it was like to be frustrated with graphing a parabola. Right? Like, my math teachers were always like, “Doot, doot, doot, here you go, you’re done!” <Laugh> And I would get so frustrated, because it didn’t come that easily to me. And I think there’s two parts to that. So there’s modeling the learning and the thinking and the productive struggle, but also there’s the identity of being a computer scientist and modeling what that looks like. So for me, when I get really frustrated with a program, I walk away. I take five minutes. I take a deep breath. I say, “I’m not gonna think about it in these five minutes.” And I come back to it. And I think once you start teaching computer science, you can facilitate that for students. And there’s so many different strategies that they can pick up. They can pick up rubber ducking, which is where they pick up a rubber duck or a similar object, and they talk to it as if they were a partner and talk through their code. And oftentimes, as you’re rubber ducking, you’re gonna find that error, because you’re explaining it to someone who’s a stand-in for a novice. And rubber ducking is a well-known strategy for computer scientists who make it their career. You know, there’s pair programming. Some students love pair programming; some students hate it. But the students start to build this identity about how they problem-solve. And how they approach failure. And I just love that.

Eric Cross (24:31):

I’m writing this down. Because the rubber-ducking strategy, I love. I just imagine my seventh graders, a bunch of 13-year-olds with, like, rubber on the desk. And not necessarily in coding, but I was thinking in my science class. And they’re working through a challenge, and they’re all looking at this duck, and they’re talking to it. But I just love the the idea of externalizing your thought process and talking through it yourself so that you can hopefully arrive at a conclusion. But it’s such a great practice, and this is something that’s been around for a long time, apparently. So.

Aryanna Trejo (24:59):

Yeah. Yeah. It’s a real thing. And you know, you can go low-fi. It doesn’t have to be a rubber duck. You can have students talk to their pencils or their imaginary friends. That’s not the issue; the issue is, you know, talking to somebody.

Eric Cross (25:10):

I know you support teachers. But I just wanted to…I was just curious about your typical day, what that’s like. And then what you do, how you support ’em.

Aryanna Trejo (25:15):

So, at my previous job at 9 Dots, I was in there with the teachers in the classrooms. I was coaching our internal staff who went out to co-teach with teachers. And I loved that. And I had such a great impact on a local scale. But now at Code.org, I have a much broader impact. But I don’t get to interface with—that’s such a tech-y word!—I don’t get to interact with—

Eric Cross (25:42):

You work at Code.org! You get to—

Aryanna Trejo (25:42):

I know! But I’m a teacher at heart, forever, right? That’s my identity that I forged when I was 22 years old. And a typical day looks like opening up my computer, taking a look at my calendar. I often have meetings to talk about, different things that we’re doing to support our facilitators who go out to our teachers and lead their workshops for them. I recently worked on a product that was designed for CS principles, teachers, to onboard to the course if they weren’t able to get into an in-person workshop. And it’s completely self-paced, so it gives teachers an on-ramp into the course. And now I’m working on some in-person workshop agendas. So I feel really wonderful that my work is going out to thousands of teachers. But at the same time, I really, really miss talking to teachers. Because that’s something that energizes me so much.

Eric Cross (26:46):

When should students start learning computer science? I feel like we see it in this kind of narrow lane. Like, this is computer science if you make an app. Can it be more than that? As far as like the benefit of computer science? And—I guess two-part question—when should students, one, start being exposed to it? And then two, what are some of the benefits beyond just, “I wanna just make an app”?

Aryanna Trejo (27:08):

I taught coding to kindergartners. It can start as early as you as you want it to. And it doesn’t necessarily need to be on the computer. A lot of students that I worked with didn’t have computers at home, were interacting with computers for the first time. And that’s a huge barrier, of course, to a lot of teachers. But there are so many unplugged lessons that you can do to start to start to have students think about algorithms, which is just a series of steps to complete to solve a problem. As long as a student can use a computer, I think they can do computer science. There are products out there like codeSpark, where students—and Code.org has these products too—where students are moving an avatar around a board, kind of like a quadrant to…you know, they feed the directions to a computer and then the computer enacts it for them. And with that, they can learn algorithms. You know, that is computer science. And a lot of people don’t see it that way, but it really is. And it starts to set students up for more complex thinking as they move on.

Eric Cross (28:13):

One of the biggest underserved communities, geographically, are students in rural areas.

Aryanna Trejo (28:20):

Yep.

Eric Cross (28:21):

They can be reservations; they can be places just not an urban area. Is there a way to serve our communities of students and bring these skills in an unplugged way?

Aryanna Trejo (28:32):

Yeah. Yeah. If you typed in “unplugged computer science lessons” to Google, you’ll have a ton of hits. And there are so many students out there—not just in rural areas. But there’s incarcerated students. It hurts my heart to even say those words, but in urban areas too. Like in my classroom, where I only had four desktop computers. Access is a real struggle. And there’s things, like I said, instead of moving an avatar around a grid on the computer, I used to have an actual mat that I would take out to my kindergarten classrooms, lay it out, and it would have a grid on it. And we’d have one of the students act as the avatar and the rest of the students would give them directions to get to a different point on the grid. And there, you’re building an algorithm or just a series of steps. Like I said, it’s not some fancy term to solve a problem. And there’s multiple ways to solve that problem, too. And I think investigating that can be a really good way to stretch those lessons.

Eric Cross (29:32):

It almost sounds like an oxymoron, but this low-tech computer science strategy. Develop these skills and then transfer that once you have access to the tools.

Aryanna Trejo (29:39):

Yeah. Yeah. Absolutely. And I think it’s a good way for students who need kinesthetic means to start to understand something, or just different learning styles, to start transferring that over.

Eric Cross (29:53):

I probably have students in the classroom where those kinesthetic moving things would help be a great way—or WILL be a great way—for them to learn the principles and the fundamentals of coding. Instead of only giving the option to just do the computer, actually giving them some choice. Or giving them a way to be able to manipulate things. We’re still in the system of education that’s still very siloed. It’s been the same way for a hundred years. We got math and then we got science and we got English. I’m wondering, how can a teacher fit this into their daily lessons? And then, do you have any experiences or stories or things that you’ve seen, just really creative ways that you’ve seen teachers incorporate this? Outside the norm of, “This is a computer science class; we’re just gonna code.” But have you seen it branch out? In the trainings that you’ve done?

Aryanna Trejo (30:40):

I’ve seen examples of that. I’ve seen a teacher use Scratch to demonstrate different climates of California, and show the different climates. This past year for Hour of Code, my friend Amy—the one who helped me move to 9 Dots and at Code.org—she created this incredible tutorial called Poetry Bot. And it was a way to get students to match the mood of the poem to some of the elements that were happening in the stage. So they would have different backgrounds show up at different parts of the poem. When the words would show up, they would have different sprites show up. They would have, sometimes, sounds. Or the text would show up with different animations. So there are cross-curricular opportunities everywhere, if you can be creative enough to find them, or if you beg, borrow, steal from other educators who are doing this incredible work out there.

Eric Cross (31:36):

Yeah. I say this all the time, but I’m an educational DJ, not an MC.

Aryanna Trejo (31:44):

Oh yeah.

Eric Cross (31:45):

So MCs write their lyrics and DJs remix with things that other people have done.

Aryanna Trejo (31:48):

Absolutely.

Eric Cross (31:48):

I was like, I’m a DJ. I was like, all day. Sometimes I’ll write a lyric, once or twice, but most of the time I’m remixing things. So teachers, if you’ve been out there and you got an awesome interdisciplinary thing, or you’ve incorporated coding and it’s something that’s traditionally not seen, please send it to us. Share it with us.

Aryanna Trejo (32:03):

Yeah. And there are so many different places where you can find that. We have a forum for Code.org, but there’s also CSTA, the Computer Science Teachers Association. You can join your local chapter and get to know other computer science teachers out there.

Eric Cross (32:19):

I guess…to wrap up, I’ve been using Scratch programming, the MIT website. My students do the basic animated name, CS First, stuff. But over the years, I’ve noticed that my students are coming in with a higher level of sophistication in Scratch to where now the differentiation…some of my students are just doing very basic…and then I have other students who’ve created full-on video games with complex…like, you look at their Scratch page and it’s just an amazing amount of blocks and integrations and things that they have. Is there anything on Code.org that could be a next step? That takes them beyond, maybe like the visuals? And if so, what would be a good next step, to take students to advance them to another platform? There’s so many coding languages out there, I feel like. Or I might not even be thinking about that the right way.

Aryanna Trejo (33:20):

No, I think you are. You know, we have three different curricula out on our website right now. We have CS Fundamentals, which is probably more in line with what you’re talking about. We have a free CS Discoveries curriculum, and that is designed for, grades, I believe, 6 through 10. And that would be a really good entry point, for both teachers and for students.

Eric Cross (33:44):

There’s a lot of new stuff that I hadn’t seen yet, a few years ago.

Aryanna Trejo (33:49):

Yeah.

Eric Cross (33:49):

So I was really excited.

Aryanna Trejo (33:50):

One thing that I do know is that CS Discovery has just added an artificial intelligence slash machine-learning unit, that you can just pick up and give to your students. You don’t have to go in order with CS Discoveries, like you do with CS Principles. And I’ve gone through some of those lessons. They are really rad. And I would’ve loved to have learned that when I was in middle school or high school. So yeah, we’re constantly thinking of how we can make things one, relevant to our students, and two relevant to what’s going on in the world.

Eric Cross (34:20):

So would I be overselling it if I said, “If you go through this, you’ll be able to create an AI or a neural net to do all your homework”?

Aryanna Trejo (34:26):

You would be overselling it.

Eric Cross (34:27):

I would be? OK. So what I’ll do is, I’ll wait until the end of the school year, and then introduce it, and then by the time they’ve realized it’s not true, they’ll be eighth graders.

Aryanna Trejo (34:35):

There you go. Good old bait-and-switch.

Eric Cross (34:37):

You’re amazing. Thank you for serving teachers, and for being part of such a great organization that puts out great stuff. So much free curricula for teachers to be able to use. Especially nowadays we hunt and scour the internet for those types of things. And to be able to bring computer literacy into the classroom, and with your focus of serving communities of underrepresented groups, it feels good to know that not only is it high-quality material, but it’s also trying to raise everyone up. Because ultimately when we have more people trying to solve a common problem, we come up with better solutions. And I was talking to somebody who was a materials engineer somewhere in Europe, and he said one of the things about the U.S., As he was critiquing me on this flight, critiquing the U.S., He said, “One of the things about your country is that you have a heterogeneous group of people who, in a group, when you have multiple perspectives attacking a problem, you come up with more novel solutions.” He says, “That’s one of the great things, is that there’s not necessarily just a hive mind.” And I think that that’s one of the great things. We uplift different communities, and we uplift women, people of color, people who, have backgrounds that parents didn’t go to college but have these amazing qualities and strengths. And we put everybody focusing on the same issue. We come up with novel solutions that we wouldn’t have come up with if only select groups were trying to look at it and solve it. And so—.

Aryanna Trejo (36:22):

Yeah.

Eric Cross (36:23):

And we couldn’t do that without organizations like yours, that help empower teachers. So.

Aryanna Trejo (36:27):

Yeah! You really said it.

Eric Cross (36:29):

You’re coming to my classroom when you’re back in San Diego?

Aryanna Trejo (36:31):

Yeah! I totally will. Yeah. Let’s make it happen.

Eric Cross (36:34):

Last question. If you think back in your schooling, your own schooling, K through college, is there a person or a teacher that had a big impact on you? Or a learning experience that had an impact on you? And it could be, you know, positive or negative. But something that impacted you, even to this day, that stands out to you, that you remember?

Aryanna Trejo (36:56):

This is a big diversion from the topics that we’re talking about. But in grades 10 through 12, my drama teacher, Mr. Byler, who I still talk with, was such a huge impression on me. Really wonderful. And I couldn’t tell you the teaching moves that he did that were wonderful. I don’t know much about his management. But I can tell you that he gave me space to be confident, and grow into myself, through drama productions. They were high school productions, so they weren’t amazing. But I just really came into myself in high school, because I had the confidence to get on stage. And he was just such a wonderful mentor to all of us. So, props to Mr. Byler.

Eric Cross (37:39):

Shout out to Mr. Byler for creating space for Aryanna to fly! Thanks for making time, after your workday, to talk with us and to share Code.org with teachers.

Aryanna Trejo (37:54):

Of course. Happy to.

Eric Cross (37:59):

Thanks so much for joining me and Aryanna today. We want to hear more about you. If you have any great lessons or ways to keep student engagement high, please email us at stem@amplify.com. Make sure to click subscribe wherever you listen to podcasts. And join our brand new Facebook group, Science Connections: The Community for some extra content.

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What Aryanna Trejo says about science

“I would hear teachers saying things like, ‘Well I just can’t do coding, it’s just too hard for me.’ And I would ask them…Would you say that to your student about math or English? Be as kind to yourself as you would be to your student.”

– Aryanna Trejo

Professional Learning Specialist, Code.org

Meet the guest

Aryanna is a member of the Code.org Professional Learning Team. Before joining Code.org, Aryanna led computer science professional development for K-6 teachers and served as an instructional coach for new educators. She also taught fourth and fifth grade in New York City and Los Angeles. In her spare time, Aryanna loves taking advantage of the California sunshine, creating wheel-thrown pottery, and hanging out with her dog Lola.

Person with curly hair smiling, standing in front of a brick wall. Circular frame with decorative star in the corner.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. Listen here!

Eureka Math²

Level K

Module 1: Counting and Cardinality

Topic A: Classify to Make Categories and Count

Lesson 1: Compare objects based on their attributes.Connecting Cubes
Lesson 3: Classify objects into two categories and count.Skye’s Style

Topic B: Answer How Many Questions with Up to 5 Objects

Lesson 3: Sort by Same ColorMatching Groups

Topic C: Write Numerals and Create Sets of Up to 5 Objects

Lesson 10: Count out a group of objects to match a numeral.Designing Shoes with Skye

Topic E: Answer How Many Questions with Up to 10 Objects

Lesson 19: Organize, count, and represent a collection of objects.Investigate: Cafeteria Math
Lesson 20: Count objects in 5-group and array configurations and match to a numeral.Fingers as Math Tools
Lesson 23: Conserve number regardless of the order in which objects are counted.Moving and Grooving

Module 2: Two- and Three- Dimensional Shapes

Topic A: Analyze and Name Two-Dimensional Shapes

Lesson 1: Find and describe attributes of flat shapes.So Much Sorting
Lesson 2: Classify shapes as triangles or nontriangles.What’s That Shape Called?
Lesson 3: Classify shapes as circles, hexagons, or neither.What’s That Shape Called?
Lesson 4: Classify shapes as rectangles or nonrectangles, with square rectangles as a special case.Another Shape

Module 3: Comparison

Topic C: Compare Sets Within 10

Lesson 12: Relate more and fewer to length.More, Fewer, or the Same
Forest Friends
Lesson 13: Compare sets by using more than, fewer than, and the same number as.Fingers and Counters
Comparing Words

Module 4: Composition and Decomposition

Topic A: Explore Composition and Decomposition

Lesson 1: Compose flat shapes and count the parts.Investigate: Casey’s Town
Lesson 2: Decompose flat shapes and count the parts.How Many Objects?
Lesson 3: Decompose a group to identify parts and total.How Many Objects in Pictures?

Topic B: Record Composition and Decomposition

Lesson 5: Sort to decompose a number in more than one way.How Will You Count?
Lesson 6: Decompose a number in more than one way and record.Harry Explores the Ocean

Module 5: Addition and Subtraction

Topic A: Represent Addition

Lesson 1: Represent add to with result unknown story problems by using drawings and numbers.What Does It Mean to Add?

Topic B: Represent Subtraction

Lesson 8: Understand taking away as a type of subtraction.What Does It Mean to Subtract?

Topic C: Make Sense of Problems

Lesson 15: Identify the action in a problem to represent and solve it.The Bus Depot

Level 1

Module 1: Counting, Comparison, and Addition

Topic A: Count and Compare with Data

Lesson 2: Organize and represent data to compare two categories.Shapes Ying Saw

Module 2: Addition and Subtraction Relationships

Topic A: Reason About Take From Situations

Lesson 1: Represent result unknown problems and record as addition or subtraction number sentences.Packing for a Picnic
Lesson 3: Subtract 1 or subtract 1 less than the total.What’s the Difference?
Leaping Lily Pads!

Topic B: Relate and Distinguish Addition and Subtraction

Lesson 5: Use the Read–Draw–Write process to solve result unknown problems.Investigate: Let’s Grow!
Lesson 6: Represent and solve related addition and subtraction result unknown problems.Tutu’s Garden in Maui
Lesson 7: Count on or count back to solve related addition and subtraction problems.The Kalo Plants

Topic C: Find an Unknown Part in Change Unknown Problems

Lesson 8: Interpret and find an unknown change.Replanting Huli
Lesson 11: Represent and solve take from with change unknown problems.Helping Others
A Community Working Together

Module 3: Properties of Operations to Make Easier Problems

Topic B: Make Easier Problems to Add

Lesson 9: Make ten with either addend.Making 10
Kitten Coaster

Topic D: Reason about Ten as a Unit to Add or Subtract

Lesson 16: Identify ten as a unit.Same Number, Different Ways

Module 5: Place Value Concepts to Compare, Add, and Subtract

Topic A: Grouping Units in Tens and Ones

Lesson 2: Count a collection and record the total in units of tens and ones.Investigate: Game Points
Meeting Yara
Lesson 4: Represent a number in multiple ways by trading 10 ones for a ten.It’s a Match
Lesson 6: Add 10 or take 10 from a two-digit number.How Many Cubes?

Topic D: Addition and Subtraction of Tens

Lesson 15: Count on and back by tens to add and subtract.Boris’s Thimbles
Lesson 16: Use related single-digit facts to add and subtract multiples of ten.How Many Tens?

Level 2

Module 1: Place Value Concepts Through Metric Measurement and Data · Place Value, Counting, and Comparing Within 1,000

Topic A: Representing Data to Solve Problems

Lesson 3: Use information presented in a bar graph to solve put together and take apart problems.Exploring Within 10
Ways to Make 10
Lesson 4: Use information presented in a bar graph to solve compare problems.Awesome Aquariums

Topic C: Estimate, Measure, and Compare Lengths

Lesson 12: Model and reason about the difference in length.Lengths of Jungle Animals

Topic D: Solve Compare Problems by Using the Ruler as a Number Line

Lesson 15: Use a measuring tape as a number line to add efficiently.Investigate: Where Am I?
Time to Line Up!
What’s That Number?
Lesson 17: Represent and solve comparison problems by using measurement contexts.Greater Than, Less Than, or Equal to

Module 2: Addition and Subtraction Within 200

Topic A: Simplifying Strategies for Addition

Lesson 1: Reason about addition with four addends.Investigate: Activities at the Block Party

Module 5: Money, Data, and Customary Measurement

Topic A: Problem Solving with Coins and Bills

Lesson 1: Organize, count, and represent a collection of coins.Discovering Coins (Part 1)
Discovering Coins (Part 2)
Lesson 2: Use the fewest number of coins to make a given value.How Much Money?
Lesson 5: Use different strategies to make 1 dollar or to make change from 1 dollar.The Toy Stand
Lesson 3: Solve one- and two-step word problems to find the total value of a group of coins.The Craft Stand at the Block Party

Topic B: Use Customary Units to Measure and Estimate Length

Lesson 12: Identify unknown numbers on a number line by using the interval as a reference point.In Full Bloom

Topic C: Use Measurement and Data to Solve Problems

Lesson 15: Use measurement data to create a line plot.Messy Measurements
“Lesson 16: Create a line plot to represent data and ask and answer questions.
60 min
Bracelets and Wristbands

Level 3

Module 1: Multiplication and Division with Units of 2, 3, 4, 5, and 10

Topic A: Conceptual Understanding of Multiplication

Lesson 2: Interpret equal groups as multiplication.Equal Groups

Topic C: Properties of Multiplication

Lesson 10: Demonstrate the commutative property of multiplication using a unit of 2 and the array model.Arrays of Flavor

Topic D: Two Interpretations of Division

Lesson 15: Model division as an unknown factor problem.It’s Chili in Here

Module 2: Place Value Concepts Through Metric Measurement

Topic A: Understanding Place Value Concepts Through Metric Measurement

Lesson 1: Connect the composition of 1 kilogram to the composition of 1 thousand.Investigate: Create a Photo Gallery

Topic C: Simplifying Strategies to Find Sums and Differences

Lesson 13: Collect and represent data in a scaled bar graph and solve related problems.Puppy Pile
Lesson 14: Use place value understanding to add and subtract like units.Adding Your Way
Lesson 15: Use the associative property to make the next ten to add.Panda Patterns
Lesson 16: Use compensation to add.How Would You Solve It?

Topic D: Two- and Three-Digit Measurement Addition and Subtraction

Lesson 20: Add measurements using the standard algorithm to compose larger units once.What is an Algorithm?
Using Fewer Digits
Lesson 21: Add measurements using the standard algorithm to compose larger units twice.Determining Sums of 2 or More Addends
Adding Strategically

Module 3: Multiplication and Division with Units of 0, 1, 6, 7, 8, and 9

Topic B: Multiplication and Division Concepts with an Emphasis on the Unit of 7

Lesson 11: Use the break apart and distribute strategy to divide with units of 7.Relating Quotients to Familiar Products
Lesson 12: Solve one-step word problems involving multiplication and division.Division and Multiplication Equations

Module 4: Multiplication and Area

Topic A: Foundations for Understanding Area

Lesson 2: Recognize area as an attribute of polygons.Investigate: Comparing Rugs
Which Covers More Space?
Lesson 3: Tile polygons to find their areas.Tiling Figures
Area Hunt

Topic B: Concepts of Area Measurement

Lesson 6: Tile rectangles with squares to make arrays and relate the side lengths to area.Rectangles and Arrays
Lesson 7: Draw rows and columns to complete a rectangular array and determine its area.Area Hunt

Module 6: Geometry, Measurement, and Data

Topic D: Collecting and Displaying Dat

Lesson 23: Solve problems by creating scaled picture graphs and scaled bar graphs.2, 5, or 10?

Level 4

Module 1: Place Value Concepts for Addition and Subtraction

Topic A: Multiplication as Multiplicative Comparison

Lesson 1: Interpret multiplication as multiplicative comparison.How Does It Grow?

Module 2: Place Value Concepts for Multiplication and Division

Topic E: Factors and Multiples

Lesson 24: Recognize that a number is a multiple of each of its factors.Hamster Homes
Factor or Multiple?
Lesson 25: Explore properties of prime and composite numbers up to 100 by using multiples.A Number Game

Module 4: Foundations for Fraction Operations

Lesson 1: Decompose whole numbers into a sum of unit fractions.

Lesson 1: Decompose whole numbers into a sum of unit fractions.Investigate: Building Your Own Number Line
Lesson 3: Decompose fractions into a sum of fractions.Math Pizzeria
Lesson 4: Represent fractions by using various fraction models.Fraction Strips
Chop It
Lesson 5: Rename fractions greater than 1 as mixed numbers.All Kinds of Fractions

Topic D: Add and Subtract Fractions

Lesson 21: Solve addition and subtraction word problems and estimate the reasonableness of the answers.Pizza Problems

Topic F: Repeated Addition of Fractions as Multiplication

Lesson 32: Multiply a fraction by a whole number by using the associative property.Equal Groups of Fractions

Module 5: Place Value Concepts for Decimal Fractions

Topic A: Exploration of Tenths

Lesson 1: Organize, count, and represent a collection of money.Investigate: Different Units
Lesson 3: Represent tenths as a place value unit.A New Way to Write Tenths
Lesson 4: Write mixed numbers in decimal form with tenths.A New Way to Write Tenths

Topic B: Tenths and Hundredths

Lesson 5: Decompose 1 one and express hundredths in fraction form and decimal form.Are They Equivalent?
Lesson 6: Represent hundredths as a place value unit.A New Way to Write Hundredths
Lesson 7: Write mixed numbers in decimal form with hundredths.A New Way to Write Hundredths

Topic C: Comparison of Decimal Numbers

Lesson 10: Use pictorial representations to compare decimal numbers.How Can You Compare?
Lesson 11: Compare and order decimal numbers.Robot Factory
What’s the Order?

Level 5

Module 1: Place Value Concepts for Multiplication and Division with Whole Numbers

Topic B: Multiplication of Whole Numbers

Lesson 8: Multiply two- and three-digit numbers by two-digit numbers by using the distributive property.Partial Products Everywhere
Lesson 9: Multiply two- and three-digit numbers by two-digit numbers by using the standard algorithm.How Do They Compare?

Topic C: Division of Whole Numbers

Lesson 15: Divide three-digit numbers by two-digit numbers in problems that result in two-digit quotients.Emptying the Water Tank

Module 2: Addition and Subtraction with Fractions

Topic A: Fractions and Division

Lesson 1: Interpret a fraction as division.Investigate: Sharing Sandwiches
Sharing More Sandwiches
Dance Breaks
Lesson 3: Represent fractions as division by using models.Making Generalizations
Lesson 4: Solve word problems involving division and fractions.Division Story Problems

Module 3: Multiplication and Division with Fractions

Topic B: Multiplication of Fractions

Lesson 7: Multiply fractions less than 1 by unit fractions pictorially.Investigate: Folding Paper
Lesson 8: Multiply fractions less than 1 pictorially.Parts of Parts
One Part of One Part
Rows and Columns
Lesson 9: Multiply fractions by unit fractions by making simpler problems.Messy Multiplication
Lesson 10: Multiply fractions greater than 1 by fractions.Making Food
Installing Turf
Lesson 11: Multiply fractions.Applying Fraction Multiplication
Chores at Animal Haven
The Re-size-inator

Module 5: Addition and Multiplication with Area and Volume

Topic C: Volume Concepts

Lesson 17: Find the volume of right rectangular prisms by packing with unit cubes and counting.Which is Largest
Lesson 18: Find the volume of right rectangular prisms by packing with improvised units.Packing the Barge

Topic D: Volume and the Operations of Multiplication and Addition

Lesson 25: Find the volumes of solid figures composed of right rectangular prisms.Putting It Together
Figures Made of Prisms

Level 6

Module 1: Ratios, Rates, and Percents

Topic A: Ratios

Lesson 2: Introduction to RatiosPizza Maker

Topic B: Collections of Equivalent Ratios

Lesson 6: Ratios Tables and Double Number LinesFruit Lab
Lesson 9: Multiplication Patterns in Ratio RelationshipsDisaster Preparation

Topic D: Rates

Lesson 16: SpeedWorld Records
Lesson 17: RatesMany Measurements
Soft Serve
Lesson 18: Comparing RatesWelcome to the Robot Factory
Lesson 19: Unit Rates to Convert UnitsModel Trains
More Soft Serve
Lesson 20: Solving Rate ProblemsLucky Duckies

Module 2: Operations with Fractions and Multi-Digit Numbers

Topic B: Dividing Fractions

Lesson 6: Dividing a Whole Number by a FractionFlour Planner
Lesson 8: Dividing Fractions by Making Common DenominatorsFill the Gap

Topic C: Dividing Fractions Fluently

Lesson 9: Dividing Fractions by Using Tape DiagramsPuzzling Areas

Topic D: Decimal Addition, Subtraction, and Multiplication

Lesson 13: Decimal Addition and SubtractionDishing Out Decimals
Lesson 16: Applications of Decimal OperationsDecimal Diagrams and Algorithms

Topic F: Decimal Division

Lesson 21: Dividing a Decimals by a Whole NumberMovie Time
Lesson 22: Dividing a Decimal by a Decimal Greater than 1Movie Time
Lesson 23: Dividing a Decimal by a Decimal Less than 1Movie Time

Module 3: Rational Numbers

Topic A: Integers and Rational Numbers

Lesson 1: Positive and Negative NumbersCan You Dig It?
Lesson 3: Rational NumbersOrder in the Class

Module 4: Expressions and One-Step Equations

Topic B: Expressions and Real-World Problems

Lesson 9: Addition and Subtraction Expressions from the Real-WorldSubway Fares

Topic C: Equivalent Expressions Using the Properties of Operations

Lesson 13: The Distributive PropertyProducts and Sums

Topic D: Equations and Inequalities

Lesson 17: Equations and SolutionsFive Equations
Lesson 18: Inequalities and SolutionsHanging It Up
Tunnel Travels
Lesson 19: Solving Equations with Addition and SubtractionWeight for It
Lesson 20: Solving Equations with Multiplication and DivisionHanging Around
Lesson 21: Solving Problems with EquationsSwap and Solve

Module 5: Area, Surface Area, and Volume

Topic A: Areas of Polygons

Lesson 1: The Area of a ParallelogramExploring Parallelograms, Part 1
Lesson 2: The Area of a Right TriangleOff the Grid, Part 2
Lesson 3: The Area of a TriangleExploring Parallelograms, Part 2
Off the Grid, Part 1
Lesson 4: Areas of Triangles in Real-World SituationsExploring Triangles

Topic B: Problem Solving with Area

Lesson 5: Perimeter and Area in the Coordinate PlaneShapes on a Plane
Lesson 6: Problem Solving with Area in the Coordinate PlaneLetters
Lesson 7: Areas of Trapezoids and Other PolygonsTriangles and Parallelograms
Lesson 8: Areas of Composite Rigures in Real-World SituationsPile of Polygons

Topic C: Nets and Surface Area

Lesson 12: From Nets to Surface AreaRenata’s Stickers

Module 6: Statistics

Topic A: Understanding Distributions

Lesson 2: Describing a Data DistributionHoops
Lesson 3: Creating a Dot PlotMinimum Wage
Lesson 4: Creating a HistogramThe Plot Thickens

Topic B: Mean and Mean Absolute Deviation

Lesson 7: Using the Mean to Describe CenterToy Cars

Level 7

Module 1: Ratios and Proportional Relationships

Topic A: Understanding Proportional Relationships

Lesson 1: An Experiment with Ratios and RatesPaint
Lesson 2: Exploring Tables and Proportional RelationshipsTwo and Two
Lesson 4: Exploring Graphs of Proportional RelationshipsDinoPops

Topic C: Scale Drawing and Proportional Relationships

Lesson 14: Extreme BicyclesScaling Machines
Lesson 15: Scale DrawingScaling Robots
Lesson 16: Using Scale FactorScale Factor Challenges
Lesson 17: Finding Actual Distances from ScaleMake it Scale
Lesson 18: Relating Areas of Scale DrawingTiles
Will It Fit

Module 2: Operations with Rational Numbers

Topic A: Adding Rational Numbers

Lesson 2: Adding IntegersFloats and Anchors

Topic B: Subtracting Rational Numbers

Lesson 8: Subtracting Integers, Part 1More Floats and Anchors
Lesson 10: Subtracting Rational Numbers, Part 1Draw Your Own

Topic E: Numberical Expressions with Rational Numbers

Lesson 25: Writing and Evaluating Expressions with Rational NumbersInteger Puzzles

Module 3: Expressions, Equations, and Inequalities

Topic A: Equivalent Expressions

Lesson 1: Equivalent ExpressionsCollect the Squares

Topic B: Unknown Angle Measurements

Lesson 7: Angle Relationships and Unknown Angle MeasuresFriendly Angles

Topic C: Solving Equations

Lesson 11: Dominoes and DominoesKeeping it True

Topic D: Inequalities

Lesson 18: Understanding Inequalities and Their SolutionsI Saw the Signs
Lesson 19: Using Equations to Solve InequalitiesUnbalanced Hangers
Lesson 20: Preserving and ReversingShira the Sheep
Lesson 21: Solving Two-Step InequalitiesBudgeting
Lesson 22: Solving Problems Involving InequalitiesWrite Them and Solve Them

Module 4: Geometry

Topic A: Constructing Geometric Figures

Lesson 3: Side Lengths of a TriangleCan You Build It
Lesson 4: Angles of a TriangleFriendly Angles

Topic C: Circumference and Areas of Circles

Lesson 10: The Outside of a CicleMeasuring Around
Lesson 11: The Inside of a CircleWhy Pi?
Lesson 14: Composite Figures with Circular RegionsArea Challenges

Module 5: Percent and Applications of Percent

Topic A: Proportion and Percent

Lesson 3: Percent as a Rate per 100Mosaics
Lesson 4: Proportion and PercentMore and Less

Topic C: More of Less Than 100%

Lesson 10: Percent IncreaseAll the Equations

Topic D: Applications of Percent

Lesson 16: Markups and Discount100%
Lesson 18: Simple Interest – Solving for Unknown ValuesPercent Machines

Topic E: Problems Involving Percent

Lesson 20: Making Money, Day 1Back in My Day

Module 6: Probability and Populations

Topic A: Calculating and Interpreting Probabilities

Lesson 2: Empirical ProbabilityHow Likely
Lesson 4: Theoretical ProbabilityProb-bear-bilities

Topic B: Estimating Probabilities

Lesson 7: The Law of Large NumbersIs It Fair?

Topic C: Random Sampling

Lesson 11: Populations and SamplesCrab Island

Level 8

Module 1: Scientific Notation, Exponents, and Irrational Numbers

Topic A: Introduction to Scientific Notation

Lesson 2: Comparing Large NumbersSpecific and Scientific (formerly Solar System)
Lesson 4: Adding and Subtracting Numbers Written in Scientific NotationBalance the Scale

Topic B: Properties and Definitions of Exponents

Lesson 6: More Properties of ExponentsCircles
Lesson 7: Making Sense of the Exponent 0Power Pairs

Topic D: Perfect Squares, Perfect Cubes, and the Pythagorean Theorem

Lesson 18: The Pythagorean TheoremTriangle Tracing Turtle
Lesson 19: Using the Pythagorean TheoremTaco Truck
Lesson 23: Ordering Irrational NumbersRoot Down

Module 2: Rigid Motions and Congruent Figures

Topic A: Rigid Motion and Their Properties

Lesson 1: Motions in the PlaneTransformers
Moving Day
Lesson 2: TranslationsSpinning, Flipping, Sliding
Moving Day
Lesson 4: Translations and Reflections on the Coordinate PlaneGetting Coordinated, Part 1
Lesson 6: Rotations on the Coordinate PlaneGetting Coordinated, Part 2

Topic B: Rigid Motions and Congruent Figures

Lesson 8: Sequencing the Rigid MotionsTransformation Golf

Topic C: Angle Relationships

Lesson 12: Lines Cut by a TransversalPuzzling It Out

Module 3: Dilations and Similar Figures

Topic A: Dilations

Lesson 1: Exploring DilationsSketchy Dilations
Lesson 3: Reductions and More EnlargmentsDilation Mini Golf

Topic B: Properties of Dilations

Lesson 5: Figures and DilationsSocial Scavenger Hunt

Module 4: Linear Equations in One and Two Variables

Topic A: Linear Equations in One Variable

Lesson 3: Solving Linear Equations with Rational CoefficientsEquation Roundtable

Topic D: Slope of a Line

Lesson 16: Proportional Relationships and SlopeTurtle Time Trials
Lesson 17: Slopes of Rising LinesFlags
Ups and Downs
Lesson 18: Slopes of Falling LinesFlags
Water Cooler
Ups and Downs

Topic E: Different Forms of a Linear Equation

Lesson 20: Slope-Intercept form of the Equation of a LineStacking Cups (Optional)
Lesson 21: Slopes and Parallel LinesTranslations

Module 5: Systems of Linear Equations

Topic A: Solving Systems of Linear Equations Graphically

Lesson 1: Solving Problems with Equations and Their GraphsMake Them Balance

Topic B: Solving Systems of Linear Equations Algebraically

Lesson 6: Solving Systems of Linear Equations without GraphingLine Zapper

Module 6: Functions and Bivariate Statistics

Topic A: Functions

Lesson 1: Motion and SpeedTurtle Crossing
Lesson 2: Definition of a FunctionGuess My Rule

Topic B: Linear and Nonlinear Functions

Lesson 9: Increasing and Decreasing FunctionsThe Tortoise and the Hare

Topic C: Bivariate Numerical Data

Lesson 11: Scatter PlotsRobots
Dapper Cats
Lesson 12: Patterns in Scatter PlotsInterpreting Scatter Plots
Lesson 13: Informally Fitting a Line to DataFind the Fit (called Fit Fights in Desmos Math)
Lesson 14: Determining an Equation of a Line Fit to DataInterpreting Slopes
Lesson 15: Linear ModelAnimal Brains
Lesson 16: Using the Investigative ProcessScatter Plot City
Lesson 17: Analyzing the ModleScatter Plot City

Topic D: Bivariate Categorical Data

Lesson 18: Bivariate Categorical DataFinding Associations

Topic E: Volume

Lesson 22: Volume of a CylinderCylinders
Lesson 23: Volume of ConesCones

Algebra 1

Module 1: Expressions, Equations and Inequalities in One Variable

Lesson 1: The Growing Pattern of DucksMore Visual Patterns
Lesson 8: Solution Sets for Equations and Inequalities in One VariableSame Position
Lesson 9: Solving Linear Equations in One VariableWorking Backwards
Solving Strategies
Lesson 12: Rearranging FormulasSubway Seats
Various Variables
Shelley the Snail
Five Representations
Lesson 13: Solving Linear Inequalities in One VariablePizza Delivery
Lesson 21: Describing Variability in a Univariate Distribution with Standard DeviationFinding Desmo

Module 2: Equations and Inequalities in Two Variables

Lesson 1: Solution Sets of Linear Equations in Two VariablesSubway Seats
Various Variables
Shelley the Snail
Five Representations
Lesson 6: Applications of Linear Equations and InequalitiesSubway Seats
Various Variables
Shelley the Snail
Five Representations
Pizza Delivery
Lesson 8: Systems of Linear Equations in Two VariablesShape It Up
Lizard Lines
Lesson 12: Solution Sets of Systems of Linear InequalitiesQuilts
Lesson 13: Graphing Solution Sets of Systems of Linear InequalitiesSeeking Solutions
Lesson 16: Using Lines to Model Bivariate Quantitative DataCity Data
Lesson 17: Modeling Relationships with a LinePenguin Populations
Lesson 18: Calculating and Analyzing ResidualsResidual Fruit
Lesson 20: Interpreting CorrelationCorrelation Coefficient
How Hot Is It?
City Slopes
Lesson 21: Analyzing Bivariate Quantitative DataBehind the Headlines

Module 3: Functions and Their Representations

Lesson 7: Exploring Key Features of a Function and Its GraphCraft-a-Graph
Lesson 17: Piecewise Linear Functions in ContextPumpkin Prices

Module 4: Quadratic Functions

Topic A: Quadratic Functions and Their GraphsRobot Launch
Lesson 1: Falling ObjectsQuadratic Visual Patterns
Lesson 2: Projectile MotionStomp Rockets
Lesson 3: Analyzing Functions That Model Projectile MotionStomp Rockets in Space
Lesson 4: Graphs of Quadratic FunctionsOn the Fence
Plenty of Parabolas
Lesson 5: Solving Equations that Contain Factored ExpressionsShooting Stars
Lesson 11: Graphing Quadratic Functions from Factored FormTwo for One
Parabola Zapper
Lesson 14: Solving Quadratic Equations by Completing the SquareSquare Tactic
Lesson 27: Search and Rescue HelicopterCity Data

Module 5: Linear and Exponential Functions

Topic A: Arithmetic and Geometric SequencesMore Visual Patterns
Sequence Carnival
Lesson 8: Exponential FunctionsCarlos’s Fish
Topic A: Arithmetic and Geometric SequencesSequence Carnival
Topic A: Arithmetic and Geometric SequencesRevisiting Visual Patterns, Part 1
Lesson 18: Modeling PopulationsSorting Relationships
Lesson 20: Comparing Growth of FunctionsPlane, Train, and Automobile
Sorting Relationships

Module 6: Modeling with Functions

Topic A: Modeling Bivariate Quantitative DataCity Data
Topic B: Developing Models for ContextsDetroit’s Population, Part 1
Detroit’s Population, Part 2

Grade K

Unit 1: Math Is…

Lesson 1-2: Math is Exploring and ThinkingConnecting Cubes

Unit 4: Sort, Classify and Count Objects

Lesson 4-1: Alike and DifferentSo Much Sorting
Lesson 4-2: Sort Objects into GroupsSo Much Sorting
Lesson 4-3: Count Objects in GroupsWhat’s that Shape called?
Another Shape

Unit 5: 2-Dimensional Shapes

Lesson 5-1: TrianglesWhat’s that Shape called?
Lesson 5-2: Squares and RectanglesAnother Shape
Lesson 5-4: CirclesWhat’s that Shape called?

Unit 6: Understand Addition

Lesson 6-1: Represent and Solve Add To ProblemsHow Many Objects?
Lesson 6-2: Represent and Solve More Add to ProblemsWhat does it mean to add?
Lesson 6-3: Represent and Solve Put Together ProblemsWhat does it mean to add?

Unit 7: Understand Subtraction

Lesson 7-1: Represent Take Apart ProblemsWhat does it mean to subtract?
Lesson 7-2: Represent and Take From ProblemsWhat does it mean to subtract?

Unit 8: Addition and Subtraction Strategies

Lesson 8-4: Ways to Decompose 6 and 7Harry Explores the Ocean
Lesson 8-6: Ways to Decompose 8 and 9Harry Explores the Ocean
Lesson 8-7: Ways to Make 10Harry Explores Space
Lesson 8-8: Ways to Decompose 10Showing What We Know About 10

Unit 13: Analyze, Compare and Compose Shapes

Lesson 13-1: Compare and Contrast 2-Dimensional ShapesWhat’s that Shape called?

Unit 14: Compare Measurable Attributes

Lesson 14-1: Describe Attributes of ObjectsAnother Shape

Grade 1

Unit 2: Number Patterns

Lesson 2-5: Patterns when Representing Objects in a GroupMeeting Yara

Unit 3: Place Value

Lesson 3-1: Numbers 11 to 19Same Number, Different Ways
Lesson 3-2: Understand 10sBoris’s Thimbles
Lesson 3-4: Represent 2-DigitsSame Number, Different Ways
Lesson 3-5: Represent 2-Digits in Different WaysSame Number, Different Ways

Unit 4: Addition within 20: Facts and Strategies

Lesson 4-1: Relate Counting to AdditionInvestigate: Game Points
Meeting Yara
Lesson 4-5: Make a Ten to AddMaking 10
Lesson 4-9: Find an Unknown Number in an Addition EquationA Community Working Together
Lesson 4-10: Understand The Equal SignKitten Coaster
Lesson 4-11: True Addition EquationsKitten Coaster
Replanting Huli

Unit 5: Subtraction within 20: Facts and Strategies

Lesson 5-1: Relate Counting to SubtractionPacking a Picnic

Unit 7: Meanings of Addition

Lesson 7-1: Represent and Solve Add to ProblemsThe Kalo Plants
Tutu’s Garden in Maui
Lesson 7-2: Represent and Solve More Add to ProblemsHelping Others

Unit 8: Meanings of Subtraction

Lesson 8-1: Represent and Solve Take From ProblemsThe Kalo Plants
Tutu’s Garden in Maui
Lesson 8-2: Represent and Solve More Take From ProblemsHelping Others

Unit 13: Equal Shares

Lesson 13-1: Understand Equal SharesA Bigger Part
Lesson 13-2: Partition Shapes into HalvesFair and Square
Lesson 13-3: Partition Shapes into FourthsFair and Square
Lesson 13-4: Describe the WholeOne of the Parts, All of the Parts
Lesson 13-5: Describe the Halves and Fourths of ShapesOne of the Parts, All of the Parts

Grade 2

Unit 2: Place Value to 1,000

Lesson 2-1: Understand HundredsWhat Makes a Hundred?
Lesson 2-2: Understand 3-digit numbersWhat’s the Value?
Lesson 2-3: Read and Write Numbers to 1000All the Ways!
Lesson 2-4: Decompose 3-digit numbersA New Representation

Unit 3: Patterns within Numbers

Lesson 3-1: Counting PatternsInvestigate: A Mistake in Mom’s Office
Lesson 3-2: Patterns when Skip Counting by 5?What’s that Number?
Lesson 3-3: Patterns when Skip Counting by 10s and 100sLooking for Patterns

Unit 4: Meanings of Addition and Subtraction

Lesson 4-7: Represent and Solve Compare ProblemsAwesome Aquariums

Unit 5: Strategies to Add Fluently Within 100

Lesson 5-9: Add More Than Two NumbersHow Much Money?

Unit 7: Measure and Compare Lengths

Lesson 7-10: Solve Problems using LengthLengths of Jungle Animals

Unit 8: Measurement, Time and Money

Lesson 8-1: Understand the Value of CoinsDiscovering Coins (Part I)
Discovering Coins (Part 2)
Lesson 8-2: Solving Money Problems Using CoinsHow Much Money?

Unit 9: Strategies to Add 3-Digit Numbers

9-2: Represent Addition with 3-Digit NumbersThere’s Something About Berries
9-3: Represent Addition with 3-Digit Numbers With RegroupingBaking with Skunk

Unit 11: Data Analysis

Lesson 11-5: Understand Line PlotsMessy Measurements
Lesson 11-6: Show Data on a Line PlotBracelets and Wristbands

Grade 3

Unit 2: Use Place Value Fluently to Add and Subtract within 1001

Lesson 2-3: Estimate Sums and DifferencesAdding Strategically
Lesson 2-6: Use Partial Sums to AddWhat is an Algorithm
Lesson 2-10: Fluently Add Within 1,000How Would You Solve It?
Determining the Sum of 2 or More Addends

Unit 3: Multiplication and Division

Lesson 3-1: Understand Equal GroupsEqual Groups
Lesson 3-3: Understand the Commutative PropertyArrays of Flavor
Lesson 3-7: Find the UnknownIt’s Chilli In Here!

Unit 4: Use Patterns to Multiply by 0,1, 2, 5 and 11

Lesson 4-6: Solve Problems Using Equal GroupsDivision and Multiplication Equations

Unit 6: Connect Area and Multiplication

Lesson 6-1: Understand AreaTiling Figures
Lesson 6-2: Count Unit Squares to Determine AreaRectangles and Arrays
Unit 2: Lesson 4: Area Hunt

Unit 7: Fractions

Lesson 7-5: Represent Whole Numbers as FractionsCat Crossing
Lesson 7-6: Represent a Greater Than One on a Number LineFractions on the Number Line

Unit 9: Use Multiplication to Divide

Lesson 9-1: Use Multiplication to Solve Division ProblemsRelating Quotients to Familar Products

Unit 12: Measurement and Data

Lesson 12-10: Measure to Halves or Fourths of an InchHow Long Is It?
More Precise Measurements
Lesson 12-11: Show Measurement Data on a Line PlotThe Plot Chickens

Unit 13: Describe and Analyze 2-Dimensional Shapes

Lesson 13-1: Describe and Classify PolygonsPiho’s Shapes
Lesson 13-2: Classify QuadrilateralsRectangles, Squares and Rhombuses

Grade 4

Unit 4: Multiplication as Comparison

Lesson 4-1: Understanding Comparing with MultiplicationRepresenting “Times as Many”
Lesson 4-2: Represent Comparison ProblemsSticker Mania
Lesson 4-3: Solve Comparison Problems Using MultiplicationGoing Swimming

Unit 5: Numbers and Number Patterns

Lesson 5-1: Understand Factors of a NumberHamster Homes
Lesson 5-3: Understand MultiplesFactor or Multiple
Lesson 5-4: Number or Shape PatterrnsHow Does it Grow?
Lesson 5-5: Generate a PatternHow Does it Grow?

Unit 6: Multiplication Strategies with Multi-Digit Numbers

Lesson 6-2: Estimate ProductsA Reasonable Answer
Lesson 6-4: Multiply 2-Digit by 1-Digit FactorsCounting Flowers for Lei
Lesson 6-5: Multiply Multi-Digit 1-Digit FactorsA Lei Making Workshop
Lesson 6-7: Multiply 2-Digit FactorsDouble Decomposition

Unit 9: Addition and Subtractions Meanings and Strategies with Fractions

Lesson 9-2: Represent Adding FractionsPizza Problems
Lesson 9-3: Add Fractions with Like DenominatorsPizza Problems
Lesson 9-4: Represent Subtracting FractionsPizza Problems
Lesson 9-5: Subtract Fractions with Like DenominatorsPizza Problems
Lesson 9-6: Solve Problems Using FractionsPizza Problems

Unit 10: Addition and Subtraction Strategies with Mixed Numbers

Lesson 10-1: Understand Decomposing Mixed NumbersMath Pizzeria

Unit 11: Multiply Fractions by Whole Numbers

Lesson 11-1: Represent Multiplication of a Unit Fraction by a Whole NumberEqual Groups of Fractions

Unit 12: Decimal Fractions

Lesson 12-2: Understand Decimal NotationA New Way to Write Tenths
A New Way to Write Hundredths
Lesson 12-3: Compare DecimalsCan You Compare?

Grade 5

Unit 2: Volume

Lesson 2-2: Use Unit Cubes to Determine VolumePutting It Together
Lesson 2-3: Use Formula to Determine VolumePutting It Together
Lesson 2-4: Determine the Volume of Composite FiguresFigures Made of Prisms

Unit 3: Place Value and Number Relationships

Lesson 3-1: Generalize Place ValuePlace Value Patterns
Lesson 3-4: Compare DecimalsSelling Collectibles
Lesson 3-5: Use Place Value to Round DecimalsWhich Way Down the Mountain?

Unit 5: Multiply Multi-Digit Whole Numbers

Lesson 5-1: Understand Powers and ExponentsMonarch Butterflies
Lesson 5-2: Patterns When Multiplying a Whole Number by Powers of 10All About that Base
Lesson 5-5: Use Partial Products to Multiply Multi-Digit FactorsHow Do They Compare?
Lesson 5-6: Relate Partial Products to an AlgorithmPatrial Products Everywhere
Lesson 5-7: Multiply Multi-Digit Factors FluentlyPatrial Products Everywhere

Unit 6: Multiply Decimals

Lesson 6-1: Patterns when Multiplying Decimals by Powers of 10Powers of 10 Parade

Unit 7: Divide Whole Numbers

Lesson 7-5: Use Partial Quotients to DivideEmptying the Water Tank

Unit 8: Divide Decimals

Lesson 8-1: Division Patterns with Decimals and Patterns of 10Powers of 10 Parade

Unit 10: Multiply Fractions

Lesson 10-3: Represent Multiplication of a Fraction By A FractionMaking Food
Lesson 10-4: Multiply a Fraction By A FractionMaking Food
Lesson 10-5: Determine the Area of Rectanges with Fractional Side LengthsInstalling Turf
Lesson 10-6: Represent Multiplication of Mixed NumbersInstalling Turf
Lesson 10-7: Multiply Mixed NumbersInstalling Turf

Unit 13: Geometry

Lesson 13-2: Plot Ordered Pairs on the Coordinate PlaneBullseye!

Grade 6

Module 1: Ratios and Rates

Reveal MathAmplify Classroom
Lesson 1: Understand ratiosUnit 2
Lesson 1: Pizza Maker
Lesson 2: Tables of Equivalent RatiosUnit 2
Lesson 10: Disaster Preparation
Lesson 4: Compare Ratio RelationshipsUnit 2
Lesson 4: Fruit Lab
Lesson 6: Convert Customary Measurement UnitsUnit 3
Lesson 1: Many Measurements
Lesson 7: Understand Rates and Unit RatesUnit 3
Lesson 6: Soft Serve

Module 2: Fractions, Decimals, and Percents

Lesson 1: Understand PercentsUnit 3
Lesson 9: Lucky Duckies
Lesson 3: Relate Fractions, Decimals, and PercentsUnit 5
Lesson 2: Decimal Diagrams and Algorithms

Module 3: Compute with Multi-Digit Numbers and Fractions

Lesson 1: Divide Multi-Digit Whole NumbersUnit 5
Lesson 13: Movie Time
Lesson 3: Divide Whole Numbers by FractionsUnit 4
Lesson 3: Flour Planner
Lesson 4: Divide Fractions by FractionsUnit 4
Lesson 6: Fill the Gap
Lesson 5: Divide with Whole and Mixed NumbersUnit 4
Lesson 6: Fill the Gap

Module 4: Integers, Rational Numbers, and the Coordinate Plane

Lesson 1: Represent IntegersUnit 7
Lesson 1: Can You Dig It?
Lesson 3: Compare and Order IntegersUnit 7
Lesson 4: Order in the Class

Module 5: Numerical and Algebraic Expressions

Lesson 3: Write Algebraic Expressions
Lesson 4: Evaluate Algebraic Expressions
Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 6: Use the Distributive PropertyUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 7: Equivalent Algebraic ExpressionsUnit 6
Lesson 1: Weight for It

Module 6: Relationships in Geometry

Lesson 2: One-Step Addition Equations
Lesson 3: One-Step Subtraction Equations
Unit 6
Lesson 1: Weight for It
Lesson 6: InequalitiesUnit 7
Lesson 7: Tunnel Travels

Module 7: Relationships Between Two Variables

Lesson 4: Multiple RepresentationsUnit 6
Lesson 16: Subway Fares
Take Away (coming soon!)

Module 8: Area

Module 9: Volume and Surface Area

Lesson 2: Surface Area of Rectangular PrismsUnit 1
Lesson 10: Renata’s Stickers

Module 10: Statistical Measures and Displays

Lesson 1: Statistical QuestionsUnit 8
Lesson 3: Minimum Wage
Lesson 2: Dot Plots and HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 3: Measures of CenterUnit 8
Lesson 11: Toy Cars
Lesson 7: Interpret Graphical DisplaysUnit 8
Lesson 3: Minimum Wage

Grade 7

Module 1: Proportional Relationships

Reveal MathAmplify Classroom
Lesson 1: Unit Rates Involving Ratios of FractionsUnit 2
Lesson 1: Paint
Lesson 3: Tables of Proportional ReasoningUnit 2
Lesson 1: Paint
Lesson 4: Graphs of Proportional ReasoningUnit 2
Lesson 8: Dino Pops
Lesson 5: Equations of Proportional ReasoningUnit 2
Lesson 6: Two and Two

Module 2: Solve Percent Problems

Lesson 1: Percent of ChangeUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 3: Tips and MarkupsUnit 4
Lesson 5: Percent Machines
Lesson 4: DiscountsUnit 4
Lesson 5: Percent Machines

Module 3: Operations with Integers

Lesson 1: Add Integers
Lesson 2: Subtract Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Multiply IntegersUnit 5
Lesson 10: Integer Puzzles
Lesson 5: Apply Integers OperationsUnit 5
Lesson 10: Integer Puzzles

Module 4: Operations with Rational Numbers

Lesson 1: Add Integers
Lesson 2: Subtract Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Multiply IntegersUnit 5
Lesson 10: Integer Puzzles
Lesson 5: Apply Integers OperationsUnit 5
Lesson 10: Integer Puzzles

Module 5: Simplify Algebraic Expressions

Lesson 2: Add Linear Expressions
Lesson 3: Subtract Linear Expressions
Unit 6
Lesson 10: Collect the Squares
Lesson 4: Solve Inequalities Using Addition or SubtractionUnit 6
Lesson 16: Shira the Sheep

Module 6: Write and Solve Equations

Lesson 1: Write and Solve One-Step EquationsUnit 6
Lesson 16: Shira the Sheep

Module 7: Write and Solve Inequalities

Lesson 6: Wirte and Solve Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep

Module 8: Geometric Figures

Lesson 1: Vertical and Adjacent AnglesUnit 7
Lesson 4: Missing Measures
Lesson 2: Complementary and Supplementary AnglesUnit 7
Lesson 2: Friendly Angles
Lesson 3: TrianglesUnit 7
Lesson 5: Can You Build It?
Lesson 4: Scale DrawingsUnit 1
Lesson 1: Scaling Machines
Lesson 7: Will It Fit?

Module 9: Measure Figures

Lesson 1: Circumference of CirclesUnit 3
Lesson 3: Measuring Around
Lesson 2: Area of CirclesUnit 3
Lesson 9: Area Challenges

Module 10: Probability

Lesson 1: Find Likelihoods
Lesson 2: Relative Frequency of Simple Events
Lesson 3: Theoretical Probability of Events
Unit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Module 11: Sampling and Statistics

Lesson 1: Biased and Unbiased SamplesUnit 8
Lesson 10: Crab Island
Lesson 2: Make Predictions
Lesson 3: Generate Multiple Samples
Unit 8 
Lesson 10: Crab Island
Lesson 4: Compare Two PopulationsUnit 8
Lesson 10: Crab Island

Grade 8

Module 1: Exponents and Scientific Notation

Reveal MathAmplify Classroom
Lesson 1: Powers and ExponentsUnit 7 
Lesson 1: Circles
Lesson 2: Multiply and Divide MonomialsUnit 7 
Lesson 3: Power Pairs
Lesson 3: Power of MonomialsUnit 7 
Lesson 3: Power Pairs
Lesson 5: Scientific NotationUnit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale
Lesson 6: Compute with Scientific NotationUnit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Module 2: Real Numbers

Lesson 2: RootsUnit 8
Lesson 4: Root Down

Module 3: Solve Equations with Variables on Each Side

Lesson 1: Solve Equations with Variables on Each SideUnit 4
Lesson 5: Equation Roundtable
Lesson 2: Write and Solve Equations with Variables on Each SideUnit 4
Lesson 5: Equation Roundtable
Lesson 5: Determine the Number of Solutions

Module 4: Linear Relationships and Slope

Lesson 1: Proportional Relationships and SlopeUnit 3
Lesson 1: Turtle Time Trials
Lesson 2: Slope of a LineUnit 3
Lesson 4: Flags
Lesson 5: Slope-Intercept FormUnit 4
Lesson 5: Equation Roundtable
Lesson 6: Graph Linear EquationsUnit 3
Lesson 4: Flags
Unit 5
Lesson 5: The Tortoise and the Hare

Module 5: Functions

Lesson 1: Identify FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 6: Qualitative GraphsUnit 5
Lesson 5: The Tortoise and the Hare

Module 6: Systems of Linear Equations

Lesson 1: Solve Systems of Equations by GraphingUnit 4 
Lesson 11: Make Them Balance

Module 7: Triangles and the Pythagorean Theorem

Lesson 2: Angle Relationships and TrianglesUnit 1 
Lesson 12: Puzzling It Out

Module 8: Transformations

Lesson 1: Translations
Lesson 2: Reflections
Lesson 3: Rotations
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Lesson 4: DilationsUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf

Module 9: Congruence and Similarity

Lesson 3: Similarity and TransformationsUnit 2
Lesson 6: Social Scavenger Hunt

Module 10: Volume

Lesson 1: Volume of CylindersUnit 5
Lesson 11: Cylinders
Lesson 2: Volume of ConesUnit 5
Lesson 13: Cones

Module 11: Scatter Plots and Two-Way Tables

Lesson 1: Scatter PlotsUnit 6 
Lesson 3: Robots
Lesson 2: Draw Lines of FitUnit 6 
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Lesson 4: Two-Way TablesUnit 6
Lesson 11: Finding Associations
Lesson 5: Associations in Two-Way TablesUnit 6
Lesson 11: Finding Associations

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

S3-05: Thinking is power

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Join us as we sit down with Melanie Trecek-King, college professor and creator of Thinking is Power, to explore how much of an asset science can truly be in developing the skills students need to navigate the real world. You’ll learn about “fooling” students and the importance of developing critical thinking, information literacy, and science literacy in the classroom. We’ll also share real strategies and lesson examples that help build these essential skills and engage students in learning.

And don’t forget to grab your Science Connections study guide to track your learning and find additional resources!

We hope you enjoy this episode and explore more from Science Connections by visiting our main page!

DOWNLOAD TRANSCRIPT

Melanie Trecek-King (00:00):

We say knowledge is power, but it’s not enough to know things. And there’s too much to know. So being able to think and not fall for someone’s bunk is my goal for my students.

Eric Cross (00:12):

Welcome to Science Connections. I’m your host, Eric Cross. On this third season, we’ve been talking about science’s underdog status. And just this past March at the NSTA conference in Atlanta, I had the chance to speak with science educators from around the country about this very topic.

Hermia Simanu (00:28):

Right now, there’s only two teachers in our high school teaching science.

Shane Dongilli (00:32):

I have 45 minutes once a week with each class. The focus is reading and math.

Alexis Tharpe (00:38):

Oftentimes science gets put by the wayside. And you know, I love math and I love my language arts, but I also think science needs to place be placed on that high pedestal as well.

Askia Little (00:46):

In fifth grade, oh, they teach science, because that’s the only grade that it’s tested.

Eric Cross (00:50):

That was Hermia Simanu from American Samoa. Her team flew for three days to make it to the conference. You also heard from Shane Dongilli from North Carolina, Alexis Tharpe from Virginia, and Askia Little from Texas. All of these teachers were excited to be at the conference and had a lot to say about the state of science education in their local schools. Throughout this season, we’ve been trying to make the case for science, showing how science can be utilized more effectively in the classroom. We’ve explored the evidence showing that science supports literacy instruction. We’ve talked about science and the responsible use of technology like AI. My hope is that all of you listeners out there can use some of this evidence to feel empowered to make the case for science in your own communities. And on this episode, we’re going to examine how science can help develop what might be the most important skill that we try to develop in our students: Good thinking. On this episode, I’m joined by a biologist who actually advocated for eliminating the Intro to Bio course at her college. Instead, Professor Trecek-King created a new course focused on critical thinking, information literacy, and science literacy skills. In this conversation, we discuss why the science classroom is such a good environment for helping students become better thinkers. Now, I don’t think that you can make a much stronger argument for science than using it to develop the skills that Melanie describes in this conversation. So, without further ado, I’m thrilled to bring you this conversation with Melanie Trecek-King, Associate Professor of Biology at Massasoit Community College, and creator of Thinking Is Power. Here’s Melanie.

Eric Cross (02:29):

Well, Melanie, thank you for joining us on the show. It’s so good to have you.

Melanie Trecek-King (02:34):

I am so happy to be here.

Eric Cross (02:35):

Now, I went to your session at NSTA in Chicago … I think it was two years ago. A couple years ago. And I was listening to your session, and as I was listening to you, I started Reverse Engineering in my mind what you were doing with your college students. I started reverse engineering the K–8. I was like, “This is amazing.” Where has what you’ve been doing been hiding? We need this not just in the college, higher ed. We need this all the way up and down. Because I hadn’t seen it before. So I think a good place for us to start is gonna be like the story of how and why you as a biologist wound up making the case to actually eliminate the Intro to Biology course at your college. So can you start off and tell us a little bit about that story?

Melanie Trecek-King (03:20):

Sure. So I started teaching at a community college in Massachusetts. And I absolutely love teaching at a community college. And I was teaching the courses that people who don’t wanna be scientists when they grow up have to take to fulfill their science requirement. And that course was Intro Bio. And I tried every way I could figure out to make that class be useful,] relevant to students. I mean, the thing is, our world is based on science and you have to understand science to be a good consumer of information, to make good decisions. And I’m a biologist, so it pains me to say this, but you know, somewhere in the middle of teaching students about the stages of mitosis and protein synthesis, I thought, “Is this really — like, if I have one semester that’s gonna be the last chance that someone’s gonna get a science education, is this really what they need?” And I just decided, “No.” So, to my college’s credit, they were very supportive. I went to them and said, “You know, I think we should assess the non-majors courses. Like, why do we teach non-majors science?” And we all agreed, well, it was for science literacy. OK, great. Do our existing non-majors courses do that? And so we evaluated each of the courses. I made a case that Intro Bio was not doing it. And so we actually replaced it with a course that I call Science for Life. And the whole course is designed to teach science literacy, critical thinking, and information literacy skills.

Eric Cross (04:48):

And so you did this while you were looking at mitosis. And you’re looking at students who may or may not be science majors. And then kind of asking that question. I know every educator asks this, and whether or not it’s welcomed or supported is a different question: “Is what I’m teaching actually gonna be relevant and useful later on down the road for this group of students?” And you actually got to run with it and then create this course, this new course. So, what were the skills that you were hoping to achieve with the new course you developed, and and why were those skills so important?

Melanie Trecek-King (05:21):

Well, if I just go back for a second to what you said, ’cause it, really hit me: I remember the actual moment — it had been building up to that point, but the actual moment that it hit me — I was teaching students the stages of mitosis. And I was applying it to cancer, because the thought is that if we use issues that are relevant to students to teach concepts, that it will be more meaningful to them. They’ll learn it better; they’ll be able to apply it. And they just looked absolutely deflated. They didn’t wanna be there. And I had this moment where I thought, “You know, if, if these students ever have cancer somewhere in their lives, is what I taught them going to be something that they remember? Is it going to be useful to them?” And quite frankly, like, no. <Laugh> They’re not gonna remember proto-oncogenes. And quite frankly, is that really what they need to know at that moment? What they need to know is, “What does this mean? Who is a reliable source of information here? If these treatments are recommended, what is the evidence for them? What are the cost-benefit analyses? Where do I go to find reliable information?” And in that space, cancer in particular, we have this whole field of — I wanna say charlatans, ’cause they may not actually be lying, but they’re pedaling false cures, false hopes. And people need that kind of hope, and so in their time of need, they’re more likely to fall for that kind of thing. Which leads me to the skills that I teach students. I call them this tree of skills. And the order is important. I start — and there’s a lot of overlap to be fair — but critical thinking, and then information literacy, and science literacy. The idea is that students carry in their pockets access to basically all of human’s knowledge at this moment in time. And if they needed to access it, they could. The question is, do they know what they’re looking for? Are they aware of their own biases that are leading them to certain sources, or certain false hopes? Are there certain things that are making them more vulnerable to the people that might prey on them? Are they able to use that information to make good decisions? There’s a great Carl Sagan quote, and it’s something like, “If we teach people only the findings of science, no matter how useful or even inspiring they may be, without communicating the method, then how is anyone to be able to tell the difference between science and pseudoscience?” So yes, the process of science is a process of critical thinking. However, we do tend to present science most of the time. Like, here’s what science has learned. And to be fair, those things that we’ve learned from science are really useful and inspiring. But if we don’t teach the process, so you’ve got somebody now who let’s say has been diagnosed with cancer and is on their phone and they’re scrolling through social media and everything looks the same. And of course the algorithms learn who you are. Next thing you know, there’s all of these like pseudo-treatments popping up. It all looks the same. Somebody who says that acupuncture can be used to cure cancer can feel the same, from someone who doesn’t understand the process of science, as a medical fact. And so the process is the process of critical thinking. My class everything is open note. The quizzes are open note. The exams — and I say open note, they’re also open online, because I know for the rest of their life they’re gonna have resources available to them; I want them to be good consumers with that information, which to me requires metacognition and critical thinking and information literacy and all those skills that I’m trying to teach them.

Eric Cross (08:58):

You’re basically taking what … we’ve taught science for so long. And more recently, it’s changed to more focusing on skills. At least in K through 12. But a lot of it was just memorization of a ton of different things that now we can pull up our phone, go on the internet. You can pull up a lot of those facts. But those facts don’t necessarily translate to actual real-world skills. When I listen to… I kind of make this analogy sometimes: students say … it’s funny, I have 12-year-olds that say this. They go, “How come they don’t teach us how to do our taxes?” And you know they’re regurgitating what they hear from adults, right? “Teach us real-world skills!” And I was like, really, if we taught you right now how to do your taxes, how many of you would really be like, “Oh, this is an awesome lesson! We’re really engaged!” But their point is that “I wanna learn something that I could actually use later on, that’s that I’m gonna carry on.” And in your course, you’re talking about these skills that actually can apply. Like you said, if I had cancer and I’m looking at different types of medical procedures, do I have the skills to really be able to evaluate and make informed decisions on that? And that’s, that’s not something that I’ve seen explicitly taught really anywhere. And I hadn’t heard anybody talk about it, really, until I heard your session, where you’ve kind of unpacked this, and over the last couple of years, have created some programs or resources for educators, where they can take this into their classroom. So what were some of those skills, again? What were were some of the skills that you thought, “I wanna make sure that my students can walk out and they know how to do this and apply it to maybe several different fields”?

Melanie Trecek-King (10:35):

Oh, that’s a really good question. Because the whole thing was a process for me. Like, when I finally let go of Intro Bio, I was so glad to see that class go, by the way. ‘Cause I just felt like I was beating a dead horse. So when I let go of it, I thought, “What do they need instead?” And for me, what I realized was I was trying to make the class I would’ve wanted to take. I realized the things that I personally didn’t know, that my own education maybe let me down a bit. But things that I thought were important. So then I took all of those, synthesized them, tried to figure out the best order. The class is currently in its third iteration. And I hope every iteration is an improvement. But I’m thinking about the students that I taught before the pandemic. It was Intro Bio. Up to just maybe the couple years before the pandemic, and during the pandemic, we had a new virus and we had a new vaccine and we had new treatments. There was hydroxychloroquine and there was ivermectin and then there’s masks. Are masks effective? Well, you know, in what circumstances? What kind of mask? There are all of these questions. And that whole thing was we saw science playing out in real time.

Eric Cross (11:50):

Absolutely.

Melanie Trecek-King (11:51):

And so were my students able to follow that? And then what happened in that process is that science became politicized. And in a time where things are uncertain and we need answers, ’cause it’s scary, people want certainty and science doesn’t tend to provide that. Especially when it’s just starting out. And then when it becomes politicized, people decide that they’re going to — it’s not necessarily a conscious decision — but they retreat into what people in their camps are saying or their groups are saying. Which actually leads me to one of the more important parts of information literacy skills in there, which is most of our knowledge is shared. We tend to have overinflated senses of what we individually know. And studies actually show that with Google, if you have access to Google, you think you’re smarter than if you don’t have access to Google. But we all have access to knowledge in our communities, and that’s one of the reasons humans are so successful, is that we can each specialize in different things and share our expertise and become greater than the sum of our parts. The problem with that, of course, is that we forget what we don’t know, and we assume that we know what the community knows. And so recognizing the limits of your own knowledge and how different communities produce knowledge, like the different epistemic processes that communities use to come to knowledge. When it comes down to it, an important part of knowing is knowing who to trust, right? Knowing where the source of knowledge lives. And in order to do that, you have to understand the processes that they’re using to come to that knowledge and the limits of your own knowledge. And then how to find who has that knowledge so that you can use that to make better decisions.

Eric Cross (13:38):

So, when I hear what you’re doing with your college students, and I think about what I’m doing in the classroom, in the middle school, we are really focusing on literacy as skills. Reading, writing, speaking, listening. And then when I think of the next step of the journey, your information literacy and the literacy you’re teaching is really the application of those things in the real world. And the examples that you gave are very critical examples. Evaluating claims about Covid. Making informed decisions about a medical procedure that you might need. And we all get that applied to us. We’re scrolling through social media and somehow social media is listening. It’s figuring out exactly what I’m doing, because all of a sudden the ads are telling me … how did you know I was alking about KitchenAid mixers now? I just said KitchenAid mixers and it’s gonna show up in my feed! But <laugh> I take that in the same way from the same place that I take in maybe an oncologist. So it’s it’s coming through the same channels. So now I kind of wanna pivot. So we’ve talked about what you’re doing, why you’re doing it, the connection between “am I really teaching the skills that my students need in the science class? Is it really critical thinking explicitly or is it just kind of implied?” Now I wanna ask you how you do it. What’s the annotated, abbreviated kind of syllabus of your course?

Melanie Trecek-King (15:03):

So the course is called Science for Life. And the premise behind it is the kinds of skills and understanding of the process of science that they would need to make good decisions to be empowered in a world based on science. And so the very first lecture, I say, “OK, I’m gonna tell you a story and I just want you to listen to the story. And at the end I’m gonna ask you why I told the story.” And the story that I tell them is some of the history of the witchcraft trials in Europe. And I start with the Malleus Maleficarum, or the Hammer of Witches, from the Pope, and about how people would accuse witches of causing birth defects or storms or crops dying. And, the best evidence that they had to absolutely know somebody was a witch was if somebody accused them, and then if they were accused, if they confessed. OK? But the problem is, to get them to confess, they would torture them. Roasting over coals, or splitting until somebody broke. And so I tell my students, “OK, this was absolute proof that someone was guilty of witchcraft. I don’t know about you; I would confess to anything, right? Make it stop!” So this is where I get to ask students, “Why would I ask you this? Why would I tell you this story? And traumatize you on the very first day of lecture?” And they see the reasoning, right? They thought they had evidence. The question was, is that good evidence? And so, you know, I’m getting students to have a basic understanding of epistemology, right? Without calling it that, or without going into all of the philosophical background of epistemology. Apply this to your own reasoning. What are you wrong about? Well, you probably wouldn’t know. OK, how would you know if you were wrong? Like what kinds of things do you feel that you’re so right about? How good is your evidence for that? So what I want them to do is internalize the thinking about thinking, and analyzing how they come to conclusions, and proportioning how strongly they believe. Their confidence in how right they are. So I think starting with that kind of misinformation, and getting students to internalize that process is important. But I think the example is really useful, because most of my students don’t believe in witchcraft. Right? So it’s not an issue that would immediately threaten them in some way. So when, when a belief is tied to identity or how we see ourselves or is really important to us, then it’s very difficult to be objective about that belief. And so by starting with witchcraft, it’s not triggering. I get them to think about thinking and practice that muscle so that when we get to those more important issues, they have the skills they need to evaluate them.

Eric Cross (17:55):

So would it be fair to say that your Science for Life class is really applied scientific thinking for the real world?

Melanie Trecek-King (18:01):

Absolutely. That’s the idea. I mean, science is too good to keep to ourselves, right? And it’s everywhere. So how can you understand the world through a scientific lens?

Eric Cross (18:10):

What are the nuts and bolts of how you teach your students these strategies? What do you do? What are some strategies and techniques that we can maybe share with listeners? And then where I want to go after that is I wanna ask you, how early do you think this can be started? So lemme start off first with, what do you do?

Melanie Trecek-King (18:28):

So I use three different strategies. One is, I provide students with a toolkit. And the toolkit is one that I created and it is like my one toolkit to rule them all. It is trying to apply critical thinking and science reasoning all together in one place. So that if students are met with a claim, they’ve got the toolkit with an acronym. They can now start and have somewhere to go. In that if I gave you a claim and said, “Just critically think through this claim,” I mean, that’s a mighty task. But if you have a structured toolkit, then it’s hopefully a systemic way that’s helpful. The toolkit is summarized by FLOATER. I have published it on Skeptical Inquirer. It’s free. So it’s Falsifiability, Logical, Objectivity, Alternative Explanations, Tentative Conclusions, Evidence, and Reproducibility. So I provide students with a toolkit. The next thing I do is I use a lot of misinformation in class. Back to what Carl Sagan says: What I heard was we should use pseudoscience to teach students the difference between a pseudo-scientific process and a scientific process. So, I use science denial, conspiracy theories, and give my students a lot of opportunities to practice evaluating claims with the toolkit. And the other thing I do is, I use inoculation activities. So inoculation theory is based on William McGuire’s original research in the ’60s, which is basically like a vaccine analogy. Where you can inject a small amount of a virus or bacterium into the body, so that it creates an immune response, so that it can learn the real thing. And so in the real world, it can fight it off. Inoculation theory does the same thing, but with misinformation. So, what we can do is, in controlled environments, expose students to little bits of misinformation so that they can recognize it in the real world. There’s different kinds of inoculation, but I’m a big fan of what’s called active and technique-based inoculation. So technique-based means that students are learning not the facts of misinformation, not factually why this thing is wrong, but about the technique used to deceive. So maybe the use of fake experts. Or maybe the use of anecdotes. Or the use of logical fallacies. The other part of that is active, which is where students create the misinformation. So for example, my students, just now, we finished covering pseudoscience. And I teach students the characteristics of pseudoscience. And basically we have fun with it. Where they pretend to be grifters and they sell a pseudoscience product. And so they have to make an ad like they’d see on social media, using the different techniques. And the point there is that it’s supposed to be funny, right? And lighthearted. But in a real way, by using the techniques used to sell something like pseudoscience, it’s opening their eyes. You can’t unsee how every alternative product has, “it’s an all-natural and used for centuries and millions use it and look at this person who says, ‘Wow, it worked for me!’ And it’s certified by some society that doesn’t exist, but this doctor behind it says that it’s really great!” I mean, it’s all the same stuff. So they create the misinformation using their own techniques.

Eric Cross (22:02):

That’s one of my favorite things that you’ve talked about, and I want to dive in that a little bit more. But when you’re teaching the toolkit, FLOATER, what does that look like in the classroom, when you’re actually breaking all of those things down? What does it look like as you’re walking your students through this, and you’re kind of coaching them on all of those different things? ‘Cause I feel like some things might be like, “Oh yeah, I got that.” And then some of them might be, “Oh, what is that?”

Melanie Trecek-King (22:24):

Yeah, it takes me probably a good solid lecture to get through the basis of the toolkit. But then over the rest of the semester, I’ll spend more time going into different parts, different rules, a bit more in-depth. So, for example, logical fallacies and objectivity. So the rule of objectivity basically states that you need to be honest with yourself. I’m gonna quote Feynman here, so: “The first principle is that you must not fool yourself — and you are the easiest person to fool.” We don’t tend to think that we can be fooled. But of course we can. So actually, if you wanna talk about it, I start class by fooling my students.

Eric Cross (23:03):

Wait, what do you do? What do you do for that?

Melanie Trecek-King (23:05):

Oh, so this is really fun. Day 1 of class, after the syllabus, I tell my … so you’re in my class now, Eric. “So I have a friend, and she’s a psychic. She’s an astrologer and she’s pretty good at what she does. I mean, she’s got books and she’s been on TV and stuff. She knows I teach this course about skepticism. And so she’s agreed to test how effective she is by providing personality assessments to students in class. So if you wanna participate, what I need from you is your birthday, your full name, answer a few questions. Like, if your house was on fire and you could take one thing, what would it be? Or if you could get paid for anything to do anything for a living, what would it be? Um, there’s a third one. Oh! If you could have any superpower, what would it be?” So the next class, it’s usually over a weekend. The next class I say, “OK, I’ve got your personality assessments back, but remember, we wanna test how effective she is. So in order to do that, I need you to read your profile as quietly as possible. And then I’m gonna have you rate her accuracy on a scale of 1 to 5. OK? So close your eyes; rate her.” Over the years doing this, it’s about a 4.3 to 4.5 out of 5. They think she’s pretty accurate. OK? “So now, if you feel comfortable, get with a person next to you. And I want you to talk about what parts of the personality assessment really spoke to you and, and why, and why you thought she was accurate or not.” And it takes them 5, 10 minutes before they realize they all got the same one. So, this is not my original experiment. It was first done by Bertram Forer in … I think it was the ’50s. And it’s done in psychology classrooms. James Randi made it famous. But the personality assessment itself is full of what are called Barnum statements. So, named after P.T. Barnum. These are statements that are very generic. So, “You have a need to be liked and admired by people. You are often quiet and reserved, but there are times where you can be the life of the party.”

Eric Cross (25:13):

How do you know this about me, by the way? This is a — I feel like you know me right now.

Melanie Trecek-King (25:17):

“There are times where you’ve wondered whether you’ve done the right thing.”

Eric Cross (25:19):

This is getting weird.

Melanie Trecek-King (25:21):

I’m just on fire, right? So these are Barnum statements. They’re the basis of personality assessment.

Eric Cross (25:29):

Mel, can I pause you right there? You said Barnum. Is that the same Barnum, like Barnum & Bailey Circus?

Melanie Trecek-King (25:34):

Yeah. P.T. Barnum, who didn’t actually say “There’s a sucker born every minute,” but we attribute him with that kind of ethos. These statements though, if you read a horoscope or even like personality indicators, like the MBTI, it is basically pseudo-scientific. And it ends up with lots of these Barnum statements. They produce what’s called the Barnum Effect, which is, “Wow, that’s so me! How did you know me?” I could even do more. Like, you have a box of photos in your house that need to be sorted. Or unused prescriptions. And these can apply to nearly everyone, but they produce this effect where we go, “Wow, that is so me!” Right? So by fooling them this way, I get to … well, so the next thing is, “Yes, I lied to you. And I’d like to tell you I won’t do that again. But I’m not going to, ’cause I might. So be on your guard.” But I did it for free. And why did I do it? “I did it because I could tell you ‘I could fool you,’ but you wouldn’t necessarily believe me. So I fooled you, so that you would learn what it feels like to be fooled.” It’s not fun. But we’re gonna make a joke outta this. And students are almost never upset about this ’cause it’s a fun process and they’re all fooled. And again, the point is, I didn’t disprove psychic powers. I didn’t just disprove psychics with this exercise. But I did show you how easy it was to fake. So if somebody is gonna tell you that they can know these things about you through some way, hopefully the evidence they provide should be stronger than something that’s easily faked. Right? Extraordinary claims require extraordinary evidence. If you claim to be able to read my personality based on my birthdate, then I need more than something that you can be taught to do in 15 minutes. So, I fool them to convince them that they could be fooled.

Eric Cross (27:27):

You’re giving them a practice scenario for thinking. And I was thinking about basketball. I grew up playing basketball. And my coach would have our own team be the defenders of the next team we were gonna play, so that we can be prepared for the defense. We were gonna see. Now, when I’m thinking about education, and what you just said reminded me of this, it’s like we’re often just teaching offense. We’re always teaching the plays. We’re always teaching what to do. But we rarely teach defense. What happens when someone comes towards you and, and they challenge you or they come at you with claims? How do we evaluate this? And I think in pockets we do it. We do claim-evidence-reasoning. We present claims and evidence and reasoning. But we don’t always have practice defending them. And I think there’s great resources. There’s Argumentation Toolkit and there’s all these awesome resources that do this. But does that fit? You’re kind of having them practice defense?

Melanie Trecek-King (28:26):

Yeah. You know, that’s brilliant. I never considered that analogy. But, yeah, in the real world, you don’t just get to always try to score all the time. Someone’s gonna challenge you and give you a claim that maybe you haven’t heard before. So how do you think through it?

Eric Cross (28:41):

Yeah. And you become better. So now I’m thinking about how early could we start doing this? For one, I love the idea of lying to your students, because I do that. And it’s just such a fun scenario. How early could we start implementing these strategies or these ideas or these toolkits? In your mind, what do you imagine? How early could we start this with young people?

Melanie Trecek-King (29:07):

Yeah. I’m so glad you asked that question, ’cause honestly, by the time they get to me, it’s almost too late. And I don’t wanna say it’s too late, ’cause it’s never too late. But, oh, we need to start so much earlier! That example that I gave about the selling pseudoscience argument? I have a wonderful colleague, Bertha Vasquez, who’s a middle school teacher in Miami and the director of TIES at CFI. She did this with her middle school students. And quite frankly, their examples were just as good, or in some cases better, than my college students. And they had so much fun with it, too. And she just said that, you know, <laugh>, they actually are more savvy with the kinds of things that they see online than we — I don’t wanna say give them credit for. But almost that we want to believe. My students give me examples of things that are from corners of the internet that I didn’t know existed. And quite frankly, that’s probably a good thing for my own mental health. But students are on there too, like middle school students, and we need to prepare them for the kinds of things that they see in the wild.

Eric Cross (30:13):

So in middle school, definitely. Now, you’ve also done some work in high school as well, right? In Oklahoma? Did you do some. …?

Melanie Trecek-King (30:17):

Yeah.

Eric Cross (30:18):

…some work with high schoolers? What was that like? Did you see any impact there?

Melanie Trecek-King (30:21):

So I didn’t actually do it in Oklahoma. I have taught the course … actually, you were talking about younger kids. I’ve taught the course to high schoolers in my area that are parts of dual enrollment. And they absolutely ate up the curriculum. And they were wonderful, wonderful students. And it was completely appropriate for … they were juniors, actually. But the course has also been taught in Oklahoma, through a dual enrollment program as well. And it was a small sample size. But we have pre-post testing that showed that it improved their critical thinking, their acceptance of science. But anecdotally the head of the program there said that in his years doing this, he’d never seen a course that helped them improve in their other courses so well. So, I felt very rewarded by hearing this. But apparently their critical thinking skills and information literacy skills helped them succeed in their other courses that they were taking. And I love that the students were transferring those skills to other classes. That’s the whole point.

Eric Cross (31:23):

And that’s a big … I think that what you just said is really the core, especially of what we’ve been talking about this season: What you’re talking about and what you’re teaching can transfer and supports literacy. And this is an example of science doing that across all other content areas. So I think that that’s huge, that that was said. What do people say about this course? I know I went on your website, and I looked at some of the comments that some folks were saying, and I know it’s just a snippet, but what do you hear from the education world about this? Because I don’t see it in many places. I see it kind of embedded, sprinkled into different content areas. But you’re actually teaching it explicitly. Do you tend to find positive feedback, overwhelmingly? Or do you get pushback on on some of this? What’s it been like for you?

Melanie Trecek-King (32:16):

I think the biggest pushback — and it’s good pushback, and I would agree entirely — is with inoculation activities, you do need to be careful to, when you debrief students, you wanna tell them why you did what you did and to use their powers for good and not for fooling other people. And I think importantly, for not putting misinformation out into the wild without having context around it. So if you do these kinds of inoculation activities, like if you have your students create pseudoscience ads, don’t just let them put them on social media. Obviously, you can’t control everything that they’re doing. But explain to them why you wouldn’t wanna do that. As far as everything else, I’ve heard really great feedback. You’re referencing my website. So, when I put together the course, I was trying to find resources for students to read. Textbooks are ridiculously expensive and I couldn’t find anything that I really wanted students to buy. So I just started writing, and I put it on my site. I have a site that’s basically the core of the curriculum. More in progress. And then I’ve got some of the topics that we explore and those are all assigned readings. My students are captive, in that I know they want a grade, and for four months they have to sit with me for the entire semester, in that I’ve specifically ordered the content in a way that would be most conducive to them learning these things. On the internet, though, and on social media, ’cause I post on there as well, people come in from all kinds of entry points, and so the goal would be to have them start at the beginning and go to the end. But people … I’m pleasantly surprised that there is an audience for critical thinking and science literacy content out there. And so that really warms my heart. But I am doing more and more for educators. And so I have a section for educators. I put content on there. I put assignments, the assignments that we’ve talked about and more, are on there. And the educators that I’ve had use it have just been really wonderful. Like, I hear great things. If I might, the biggest issue that I’m having is actually reaching educators. I’ve gone to — I met you at NSCA, actually, that was only last summer.

Eric Cross (34:30):

Oh, wow. Wow.

Melanie Trecek-King (34:32):

Right?

Eric Cross (34:32):

Yeah, you’re right. It wasn’t even a year.

Melanie Trecek-King (34:35):

Yeah, I think it was like July last year. So, um, you’ve been to the conferences. And I just went to the last one as well. But I have yet to figure out a way to really get in front of enough educators to share the content. So if anybody’s listening and is interested in learning more, please let me know! <Laugh>

Eric Cross (34:52):

Yes. And we talked about your website, but I didn’t say what the website was. So it’s ThinkingIsPower.com.

Melanie Trecek-King (34:57):

Yes.

Eric Cross (34:58):

And on there, there’s tons of resources. There is the toolkit. And it’s all free.

Melanie Trecek-King (35:06):

Yes.

Eric Cross (35:07):

And there’s a dope t-shirt on there that I just bought today, that Melanie’s actually wearing right now. It says, “Be curious, be skeptical, and be humble.” And I love that. Because I think one of the things that we can’t forget about teaching people how to think and critically evaluating information, sometimes those conversations can become very dehumanizing. And what I mean by that is it sometimes can become, like, intellectual sport, where we forget that there’s a human being on the other other side. And we lose that empathy and compassion. We can kind of see that. It just becomes this intellectual jousting and arguing. And one of the things I know about you, and when you talk about this or you talk about the work that you do, and even the shirt that you’re wearing, there’s this, “be humble.” There’s this human that is never lost in this. And you said it, too: When you’re teaching your students and you’re equipping them with all of these intellectual skills and all of these tools, to use it for good. So to maintain your humanity, to maintain your character, and then to use it to edify and lift people up, not to go out and do harm. That balance, I think, is so, so important. So it’s something that I really appreciate about you and how you teach.

Melanie Trecek-King (36:19):

I appreciate those kind words. Actually—

Eric Cross (36:21):

Oh, of course!

Melanie Trecek-King (36:22):

—and if I might, I sometimes see people using critical thinking like a weapon. It’s like, “I have learned fallacies and I’m just gonna use the tools of critical thinking to tell you why you’re stupid, or why you’re wrong, and why my position is right!” But real critical thinking involves applying those same standards to your own thought processes. And even something like argumentation: the goal of our argumentation is not to BE right; it’s to GET it right. And so we’re on the same team. If we’re arguing about something, if the idea is in scientific argumentation we’re trying to find the truth, which one of us is making a better argument based on the evidence? Can your perspective help me see my own blind spots and vice versa? And the more different perspectives that we have, the more able we are to find whatever reality is. But we are in this together. And so, yeah, I think … I’m glad to hear that that’s coming through. But if you don’t have the kind of humility that says, “You know, I could be wrong,” then you’re never gonna change your mind anyway. So having the humility to say, I’m wrong. <Laugh>

Eric Cross (37:33):

Yeah. You end up just seeing people just defend turf, as opposed to support “look for truth.” And I know for me, my own education journey, I end up with more questions than answers anyways. So I go in trying to find an answer for something and I end up with 10 more questions. And I go, “OK, this is kind of how it is.” You go down this rabbit hole and you just end up with all these different questions. And it forces the humility, because you’re like, “I don’t know! I think this is what it could be, but it could also be these other answers or explanations. So this is just where I’m at, based on what we know right now, at this present time, which might shift.”

Melanie Trecek-King (38:07):

And that sounds reasonable. Yes. Which might shift. Yes.

Eric Cross (38:11):

And especially for us as life-science biology teachers, our content is something that definitely shifts. I know some of the things I teach now are not things that I learned when I was even in middle school. Just because things evolve. They change. We learn, we get new data. That’s just the way it is.

Melanie Trecek-King (38:24):

<Sighs> And Pluto is no longer a planet.

Eric Cross (38:26):

I know. Rest in — well, no, Pluto’s still there. Yeah. It’s no longer a planet. But that was one part of my kindergarten memorizations <laugh> is Pluto being in there.

Melanie Trecek-King (38:36):

Gotta change your mind.

Eric Cross (38:38):

I know. Any words of advice for science educators out there who want to focus more on honing these critical thinking skills and strategies with their own students, but they don’t know where to start? Where would you point them? Or what advice would you give them?

Melanie Trecek-King (38:52):

I think start with what you want the students to know. And not necessarily the FACTS that you want students to know, but start with the skills that you want them to know. And then really be honest with your process. When I designed Science for Life, I started with, “these are the skills that I want students to know.” And everything was in service of that. So this sort of backwards design, I think, helped me follow a path that was more likely to be useful, if that makes any sense. But it really required doing it all over again. So don’t be afraid to question the things that you’re currently doing, even if that’s all you’ve been taught or all you know.

Eric Cross (39:41):

What I’m hearing is, don’t be afraid to question your own assumptions about what you’re doing. And don’t be afraid to adapt or change or modify. Kinda, pivot. Be flexible.

Melanie Trecek-King (39:51):

Yes, be flexible and pivot. And this is where I’m in a different position than middle school and high school educators. Because I have complete freedom over what I teach in my class.

Eric Cross (40:01):

Sure.

Melanie Trecek-King (40:01):

At the end of the semester, I always joke with non-majors that there’s nothing they have to know, which actually gives me a lot of flexibility, because I could teach ’em a lot of different things. So if there are things that you have to teach students, obviously that’s one thing. But I personally think that the way that we’ve been teaching science needs a refresher. A rethinking. And so I would say, “If you want your students to learn science literacy, honestly ask, what does that mean to you? And what would that look like to get to that point?” For me, though, it was also keeping in mind that maybe I didn’t already know the best way to do that.

Eric Cross (40:43):

One of the things you mentioned earlier is trying to reach out to educators. And I know that when we work together, it’s a force multiplier. And what you’re doing is developing skills. And there’s these skills that are happening right now in academia that you’re doing. And then how do we transfer that into middle and high school. Or, I’m sorry, middle and elementary school, high school. We need to get more people into this conversation to kind of brainstorm and figure that out. We have a Facebook group, Science Connections: The Community, where we have educators that gather. That can be one place we start the conversation. And again, I know on your website you’ve been super active on social media; you’ve grown your presence on Twitter and all these different places, engaging with folks. Which is awesome. ‘Cause I know I see your posts and I’m saving the things that you’re posting and I’m thinking of ways that I can do it in my classroom. I’m gonna take that product. By the way, is that on your website, the lesson that you do with the product?

Melanie Trecek-King (41:43):

No, actually. So the article, “How to Sell Pseudoscience” is … I know Bertha Vasquez wrote up a version of it.

Eric Cross (41:50):

Maybe we can grab that. ‘Cause we might be able to put that into the show notes for folks, because she’s a middle school educator. If there’s already something that’s been done for teachers like us, we’re like, “Yeah, let me get that and let me remix it and make it my own!” if there’s already a exemplar out there.

Melanie Trecek-King (42:04):

Yeah, she’s done it. And so I will absolutely share that with you.

Eric Cross (42:08):

So, all season long, we’ve been talking about science as the underdog. We kind of framed it, you know, science oftentimes takes a back seat to math and English. It’s kinda the first thing to go. Or the first area where time can get cut. Because of what gets tested gets focused on, oftentimes. And then in addition to that, when you’re a multi-subject teacher, elementary science isn’t just one thing — it’s every field. You know, you’re a biologist, which is different than a geologist. And when you’re teaching every subject, that’s a lot. And you might not have had a science class for years. And the realities that we’re seeing over and over with different researchers and practitioners is that science could actually enhance literacy, and building those skills. And I think you really talked about it with the critical thinking skills. Those can transfer. Or the administrator that said, “This is one of the only courses I’ve seen where it transfers to other areas.” Could you share maybe with our listeners, just any advice for advocating for science in their own world?

Melanie Trecek-King (43:13):

Wow, I’m not sure I’m qualified to answer that question! One of the things that comes to mind though — because I was listening to your last episode and educators … I honestly didn’t realize how little time they had for science. And how often science was then the first to go, to allow room for other subjects. But science overlaps with a lot of other issues. And so I feel like there could be a way to bring in science when teaching these other subjects. So, for example, argumentation and logical fallacies are easy to apply to reading and writing. Information literacy, and being able to find good information online, teaching students how to laterally read, to be able to check a source, or how to use Google effectively, to put in neutral search terms to find sources, or teaching students how to recognize the characteristics of conspiratorial thinking: All of these things can overlap with so many other subjects. So the scientist in me is a little biased towards science being important enough to do this. But try to bring it into the other subjects. It doesn’t have to be completely separate.

Eric Cross (44:43):

So integrating science into other things. And I … big believer. And a hundred percent agree with you. Now I’m gonna ask a question that kinda like takes us backwards. You shared an app with me when we first met that I thought was really cool. And I know it’s a friend or colleague of yours. But as a middle school teacher, I thought it was great, because it was something that my students could download and practice some of the skills that you’re talking about. Would you talk a little bit about the cranky uncle? Is it the Cranky Uncle app?

Melanie Trecek-King (45:17):

Cranky Uncle.

Eric Cross (45:18):

Could you share a little bit about that?

Melanie Trecek-King (45:20):

Yeah. Cranky Uncle is awesome. So, Cranky Uncle is the brainchild of John Cook, who is the founder of Skeptical Science and the author of the 97% Consensus study on climate change. Cranky Uncle … so he’s also a cartoonist. And Cranky Uncle is a cartoon game where … I don’t even have to explain who Cranky Uncle is to my students. Everybody inherently gets the, the character, right? So he’s like the guy at Thanksgiving that you don’t wanna talk to because he denies climate change and he’s just really cranky. But Cranky Uncle uses the techniques of science denial, which are summarized by the acronym FLICC: So it’s Fake experts, Logical fallacies, Impossible expectations, Cherry-picking, and Conspiratorial thinking. So he uses those techniques. Again, this is technique-based inoculation. So they recognize the techniques in the game, and you earn cranky points. And as you make Cranky crankier and crankier because you’re recognizing his techniques, you learn the techniques of science denial, and level up and open up other techniques. This is another one of those examples where climate change has a lot of science behind it, right? And if you wanted to get to the science behind climate change for any particular issue … so let’s say it’s cold today, so I’m gonna say there’s no climate change. OK? If I’m gonna unpack that at a factual level, and with science, we could be here for a while. But if I told you, “That’s like saying, ‘I just ate a sandwich so there’s no global hunger.’” OK? So that’s a parallel argument. Humorous. Love to use this kind of argumentation, ’cause it makes for some … I mean, it’s funny, but you get the point. It’s an anecdote. And anecdotes aren’t good evidence. So just like that, you could teach the technique of using an anecdotal fallacy for climate-change denial. So, I have my students play this game. You could do it when you’re studying argumentation. You could do it for science denial. I use an inoculation extension with that, where I have my students pretend that … um, actually, back up for a second. So I teach a class on critical thinking. And at the end of semesters I would get emails from students on, well, they’re failing the class, but they really shouldn’t, for all of these reasons. And reading these emails, I’m like, “If you think that’s a good argument, you clearly didn’t learn what I was hoping you would learn.” So I now have my students, early in the semester, after they play Cranky, pretend that it is the end of the semester and you’re failing the class and you’re failing because you didn’t do the work. Use at least four of the fallacies from class to argue for why you should pass. So they have to put it on a discussion forum, and they’ll say things like, “Well, if you fail me, then I won’t get into graduate school and then people will die and it will all be your fault.” Or, “My dog died, and so I was really sad.” Or, um, “You’re just a terrible teacher. And you’re short. So I don’t like you.” Or that kind of thing. So, oh, they love to attack my character. It’s really funny. But it’s supposed to be funny. And the point is, the students are using those arguments, they’re using the fallacies, to argue for something. And so by creating that misinformation themselves, they learn how those fallacies work. But taken together, I mean, everything that we just talked about there, Cranky Uncle, and the fallacy assignment, or whatever iteration you want that to be in, that doesn’t have to be in a purely science unit. Right? That could be sociology. It could be argumentation. It could be English.

Eric Cross (49:01):

Absolutely. That could be totally a prompt in an English class. And practiced in there. And then this could be an interdisciplinary thing, going back and forth between English and and science. Just having these discussions and looking at it from different angles. And you’re practicing the skills in two different contexts. So you get into argumentation. And then that app, I know I had fun with it. And the questions on there definitely resonate with people in my own family. I’m like, “I feel like I’m talking to exactly somebody that I’m related to right now.” <Laugh> Melanie, anything else that you wanna share, or discuss or highlight, before we wrap up?

Melanie Trecek-King (49:39):

So we could talk about lateral reading, if you like. ‘Cause I know a lot of educators use the crap test.

Eric Cross (49:45):

Please, please, please talk about that.

Melanie Trecek-King (49:47):

So, when evaluating sources, a lot of educators teach what’s called the CRAP test. And I wish I remembered what it stood for. But basically what you do, a lot of us have been taught when you go to a website, to figure out if it’s reliable, you wanna go to the about page. Read the mission; see who they are; maybe read some of the content; evaluate the language. So is it inflammatory? Are they making logical arguments? Are the links to reputable sources as well? And the problem is that if a site wants to mislead you, they’re not going to tell you that it’s a bunk site, right? They’re just gonna do a good job of misleading you. And so, what you wanna do instead … the CRAP test basically is an evaluation of a site. And that’s what’s called vertical reading. So you’re looking through a site to determine if it’s reliable. Uh, I think his name’s Sam Wineberg at Stanford, proposed something called lateral reading. Where, instead of on the site, what you wanna do is literally open a new tab and into the search engine type the source. You could do the claim, too. And then something like Reliability or FactCheck or whatever it’s that you’re checking, and then see what other reputable sites have to say about it. So, in their study, actually, they did a really interesting study where they compared professional fact checkers to PhD historians to Stanford undergrads. And they evaluated — I wish you could … um, there’s two pediatrician organizations. One’s like the American Association of Pediatrics and the American Academy of Pediatricians, something like that. They’re very similar sounding. So you give them to students. I do this with my students as well, the same study. So I give my students those two websites. And I say, “Which one of these is more reliable?” And they do exactly what most of us do, which is spend time on the site looking around. And most of the time, if not nearly all the time, they come to the wrong conclusion. And so then I tell them what lateral reading is: “OK, instead of looking through the site, open a new tab, search the organization and reliability.” Something like that. And it takes probably 30 seconds before they realize one of them has been dubbed by the Southern Poverty Law Center as a hate group. As opposed to the other one, which is like a hundred year old huge pediatrician organization that produces their own journals and so on. But nearly all my students are fooled. And in the study, none of the fact checkers were fooled. I’m gonna get the number right. It’s something like 50% of the historians and 20% of the Stanford undergraduates got the correct answer. And they spent a lot more time on it. So it’s a great way to teach students how to use the power of the internet to evaluate sources much more quickly and, effectively. And yes, use Wikipedia, right? Wikipedia is not a final answer, but Wikipedia is actually pretty accurate. So if Wikipedia is the first place you stop, then yes, go there, see what Wikipedia says, and then follow some of their sources.

Eric Cross (52:47):

What popped in my head was like, Yelp reviews for websites. That almost sounds like what it was. It’s like when I search for a product, I don’t go and read the product description marketing. ‘Cause that’s all designed to sell me on something. But I’ll go and look in Reliability, if it’s like a car, or just other sites to cross-reference. And that sounds like what you were talking about is like cross-referencing. Seeing what FactChecker [sic] said about this site, versus seeing what a site says about itself.

Melanie Trecek-King (53:14):

Well, that’s a great analogy. Because if I wanted to know if a product was effective, what the manufacturer says about the product, clearly there’s a strong chance of bias. Right? They’re going to be on their best, um, put their best foot forward. Versus, what do independent reviewers say about this product?

Eric Cross (53:35):

Yep. And I am known to research something to death. And I get something called “paralysis by analysis.”

Melanie Trecek-King (53:42):

Ohhhh, yeah.

Eric Cross (53:44):

And it’s so bad that even if I’m trying to buy, like, towels, I need to find the best-bang-for-the-buck towel. I have to defer some of these decisions out, because I’m on the internet for three hours now. I’ll be a pseudo-expert in towels, and thread count, and all of that stuff. But yeah, that maybe that’s just the science person.

Melanie Trecek-King (54:03):

I mean, I feel your pain. I do the same thing. <Laugh> It’s annoying. Like, it’s just towels. What does it really matter? But yeah.

Eric Cross (54:10):

Coffee! It doesn’t matter what it is. I just need to go, “OK, I have to use these powers for good. Otherwise I’m gonna be researching forever.”

Melanie Trecek-King (54:16):

I wanna say one other thing. So, again, this is a college class and I have a lot of freedom. But one of the driving philosophies behind the class is a wonderful quote in a book, Schick and Vaughn, How to Think about Weird Things. And they said, “The quality of your life is determined by the quality of your decisions, and the quality of your decisions is determined by the quality of your thinking.” And I know my students want a grade. But I’m really trying to teach them how to be empowered through better thinking. That’s where the name “Thinking is Power” came from. I mean, we say “Knowledge is Power,” but it’s not enough to know things. And there’s too much to know. So being able to think and be empowered to have your own agency and not fall for someone’s bunk is my goal for my students.

Eric Cross (55:07):

And doing that is gonna help them through the rest of their lives. Not be swindled, not be taken advantage of, be able to make better decisions. There’s so many benefits to building that skill. And I know your students have definitely grown and benefited. I’m sure you’ve heard, long after you’ve taught them, heard back from them and how they’ve applied that course to their lives. Melanie, thank you so much for being here. For a few things. One, for providing and filling this space where there’s such a need. Again, the critical thinking resources, the tools that you used, are so, so important. If we ever lived in a time where they were critical, it was really what we experienced during the pandemic in the last few years. We watched people’s information literacy and science literacy play out in real time. And we literally saw life-and-death decisions being made based off those skills. That highlighted, I think how important this is. And then, taking the time to generate resources for educators like myself, that we can take and adapt and put into our classroom and start teaching our students. ‘Cause like you said, by the time they get to you, they’re, they’re so far downstream or so far in a system that, depending on the teachers that they’ve had and the education system they’ve been in, may or may not have even touched on these things. They might have learned a lot of facts, but they may not have built their muscle to be able to critically analyze and interpret the world around them. And you’ve just — even the last year, it hasn’t even been a year since we talked the first time — I’ve watched your resources continue to grow, and you share them. And so I, on behalf of those of us in K–12, thank you. And thank you for being here.

Melanie Trecek-King (56:49):

Oh, well, thank you so much for this opportunity. Thank you for everything that you do, reaching out to other educators and for giving me a platform to hopefully reach other educators.

Eric Cross (57:00):

Thanks so much for listening to my conversation with Melanie Trecek-King, Associate Professor of Biology at Massasoit Community College and creator of Thinking Is Power. Make sure you don’t miss any new episodes of Science Connections by subscribing to the show, wherever you get podcasts. And while you’re there, we’d really appreciate it if you can leave us a review. It’ll help more listeners to find the show. You can find more information on all of Amplify shows at our podcast hub, Amplify.com/Hub. Thanks again for listening.

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What Melanie Trecek-King says about science

“Students carry in their pocket access to basically all of humanity’s knowledge at this moment in time. The question is: do they know what they’re looking for?”

– Melanie Trecek-King

Associate Professor of Biology at Massasoit Community College and creator of Thinking is Power

Meet the guest

Melanie Trecek-King is the creator of Thinking is Power, an online resource that provides critical thinking education to the general public. She is currently an associate professor of biology at Massasoit Community College, where she teaches a general-education science course designed to equip students with empowering critical thinking, information literacy, and science literacy skills. An active speaker and consultant, Trecek-King loves to share her “teach skills, not facts” approach with other science educators, and help schools and organizations meet their goals through better thinking. Trecek-King is also the education director for the Mental Immunity Project and CIRCE (Cognitive Immunology Research Collaborative), which aim to advance and apply the science of mental immunity to inoculate minds against misinformation.

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A laptop screen displays the “Science Connections: The Community” private group page, with science-themed icons decorating the background and edges.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. 

S3 – 04. Ideas to build math fluency with Valerie Henry, Graham Fletcher, and Tracy Zager

Promotional image for "Math Teacher Lounge" Season 3, Episode 4 titled "Ideas to Build Math Fluency," featuring Valerie Henry, Tracy J. Zager, and Graham Fletcher.

Fluency in math can oftentimes be associated with negative experiences with its development— timed worksheets, for example. Bethany and Dan are joined by three guests to better understand fluency and how to make its approach fun. Dr. Val Henry shares her three-part definition of fluency and her five principles for developing it. Additionally, Tracy Zager and Graham Fletcher join Bethany and Dan to better understand fluency through a lens of equity and using multimedia as a tool.

Explore more from Math Teacher Lounge by visiting our main page

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Dan Meyer (00:03)

Hey folks. Welcome back. This is Math Teacher Lounge, and I am one of your hosts, Dan Meyer.

Bethany Lockhart Johnson (00:07):

And I’m your other host, Bethany Lockhart Johnson. Hi, Dan.

Dan Meyer (00:11):

Hey, great to see you. We have a big one this week to chat about and some fantastic guests. We are chatting about fluency, which is the sort of word and concept that I feel like people have very, very non-neutral associations with it. A lot of them are very negative, for a lot of people.

Bethany Lockhart Johnson (00:26):

I saw you frown a little. What’s up with that, Dan? You kind of, like, shrank.

Dan Meyer (00:30):

I have strong feelings about it. You know, there’s lots of ways that people go about helping people become fluent in mathematics. And a lot of them are harmful for students, and ineffective. And it got me thinking about fluency as it exists outside of the world of mathematics, where we have a lot of very clear images of it. We’re getting fluent in things all the time. Like, as humans. Human development is the story of fluency. And I just was wondering….Bethany, would you describe yourself as fluent at something outside of the world of mathematics? What is that? How’d you get fluent at it? What was the process?

Bethany Lockhart Johnson (01:05):

Hmm, I think I’m a pretty fluent reader. I read all the time. I’m a happier person if I’ve read that day. I once saw this poster in a classroom; it said “10 Ways to Become a Better Reader: Read, Read, Read, Read, Read…you know, 10 times. Get it? Reading? You get better at reading by reading! So I would say reading. And it’s been kind of cool—I have a one-year-old who, it’s been really exciting slash overwhelmingly anxiety-producing to see him get very fluent with walking slash running, ’cause he’s getting faster every day. And it’s kind of fun. When I think of what’s something somebody’s trying to get fluent with…walking! He’s trying to be more fluid. He’s practicing transitions. He doesn’t wanna hold my hand while he traverses rocky terrain. He’s getting better at it. He’s practicing. What about you? What’s something…?

Dan Meyer (02:08):

I think about driving a lot. I’m a very fluent driver and I think a lot about when I was first a driver, you know? And how l have my hands on 10 and 2, vice grip, and do not talk to me; do not ask me anything; don’t ask me my NAME. I need to focus so hard. And then a year later, you know, I’m driving with one hand, smash the turn signal, take a sip off of whatever, change the CD. And then it’s no big deal.

Bethany Lockhart Johnson (02:38):

Wait, did you pass the first time? Your test?

Dan Meyer (02:40):

Yeah, I don’t like to brag about it. <laugh> But I do all the time. <laugh> But I got a hundred on my driving test. I don’t care who knows it. And I hope it’s everybody. But I guess all of this is just to say there are areas of life where fluency feels natural, with the case of walking. There’s areas of life where fluency feels motivating, with like driving—I wanna be able to switch the CD out or whatever. And there’s areas where fluency feels terrifying and hard to come by, like mathematics, sometimes. So we have a set of guests here. Our first guest will help us figure out what do we mean by fluency? And what’s the research say about what fluency is and how students develop it in mathematics? And then our other guests will help us think about what it looks like in practice in the classroom. What are some novel, new ways to work on fluency? So first up we have Val Henry, Dr. Val Henry.

Bethany Lockhart Johnson (03:32):

So we knew we needed help with the fluency definition, because when we think about it, it’s kind of big, right? And we wanted to look at what research about fluency really says. So we called on Valerie Henry. Val is a nationally board-certified teacher, taught middle school for 17 years, and since 2002 has worked with undergraduates graduates, credential candidates as a lecturer at the University of California, Irvine, one of my alma maters. So after doing her dissertation on addition and subtraction fluency in first grade, Val created a project to study ways to build addition and subtraction and multiplication and division fluency while also developing number sense in algebraic thinking. And the pilot grew and grew over the last 18 years into a powerful daily mini-lesson approach to facts fluency called FactsWise. And when we thought of fluency, the first person I thought of was Val. Welcome, Val Henry, to the Lounge! I’m so excited to have you here. Welcome.

Valerie Henry (04:36):

Thanks, Bethany. And thanks to you, Dan. It’s great to be here today.

Dan Meyer (04:41):

Great to have you; help yourself to whatever you find in the fridge. The names that people write down on those things in the bags are just recommendations. It’s potluck-style here. I’m curious, Val, if you’re, like, on an airplane, someone asks you what you do, and you say you study fluency…what is the layperson’s definition of what does it mean to be fluent in mathematics? And if you can give a brief tour through what the research says about what works and what doesn’t that would really help us orient our conversation here.

Valerie Henry (05:12):

The first thing I have to do when I talk to somebody on a plane is define the idea of fluency. And I often use an example of tying your shoelaces. Because that works with first graders as well as adults. This idea that when we first start trying to put our shoes on and get those shoelaces tied, somebody tries to, first of all, just do it for us. But then of course maybe tries to teach us the bunny-ears approach. And we struggle and struggle as little kids and eventually either the bunny-ears approach or something else starts to work for us. But we still have to pay attention to it. We have to think hard and it’s not easy. And then over time we get to the point where we basically don’t even think about it. When I tie my shoes in the morning. I’m not thinking about right-over-left and left-over-right and all of those things. I just do it. And so that’s a good, easy example of becoming fluent with something. I think what we’re talking about today though, is the basics, the adding and subtracting that we hope kids are going to have mastered maybe by second grade, and the multiplication and division facts that we wanna maybe have mastered by third, maybe fourth grade. So now what does that mean to become fluent with those basics? I have a three-part definition that seems to match up really nicely with the common core approach to fluency. Which is, first of all, we want the answers to be correct. And then second, we want the answers to be easy to know. And so what does that mean? Well, to me, it means without needing to count,

Bethany Lockhart Johnson (07:12):

You mean without having to kind of muscle through it? Or say more about you mean.

Valerie Henry (07:16):

Well, I guess what I mean is that when you watch a young child try and solve something even as simple as two plus three, they might put up two fingers and then go 3, 4, 5 with three more fingers winding up on their hand, one or the other of their hands. While they’re doing that, they don’t really have a sense of whether even their answer is right or not, quite often. Especially when you get to the larger adding and subtracting problems, you can see a lot of errors happening as they’re trying to count. And it’s taking up cognitive energy to do that counting process, especially as you get to the larger quantities. So my definition of fluency now is “getting it right without needing to do that hard work like counting.” Now, some people might say, well, we just want them to have ’em memorized. But in my research, I’ve learned that a lot of very fluid adults don’t always have every fact memorized. In fact, if you ask a room full of adults, what’s seven plus nine, you might learn that they can all get it correct quickly, quickly…but they don’t all have it memorized. And so when you ask them, “How did you get that?” Many of them will say, “Well, I just gave one from the 7 to the 9 and I know that 10 plus 6 is 16.”

Bethany Lockhart Johnson (08:53):

That’s such an important distinction. My brain literally just did that actually!

Valerie Henry (08:58):

<laugh> Right? <laugh> But you’re fluid with it, because it doesn’t take you much cognitive energy at all.

Bethany Lockhart Johnson (09:05):

Right.

Valerie Henry (09:07):

So now we have “correct without needing to put that cognitive energy,” which usually means that you’re counting. And then the third thing is “relatively quickly,” so that you’re not spending 15 seconds trying to figure it out. Even that part-whole strategy approach can be done really quickly, almost instantaneously. Or it can take a long time. So if a student can get the answer correct within, you know, three or four seconds— is I’m pretty generous—I figure that they’re pretty darn fluent with that fact. So that’s my three-part definition of these basics, fluency.

Dan Meyer (09:55):

I love the distinction between getting it correct and getting it quick. It’s possible to be quick with wrong answers. It’s possible to be like, “Those are separate components there.” And I echo Bethany’s appreciation for this third option in between knowing it instantaneously through memorization and muscling through it. But there’s like a continuum there of how much energy it took you to come up with it that all feels extremely helpful.

Valerie Henry (10:21):

And you know, one of the things that I’ve noticed is that when kids are pressured to come up with those instantaneous answers, they often default to guessing and get it wrong.

Bethany Lockhart Johnson (10:30):

Mm, yeah.

Valerie Henry (10:30):

So that’s one of the things that I’ve learned is that as we’re trying to help students develop fluency, it’s important to start with building their conceptual understanding of what it means to do, you know, 3 times 9 and what the correct answer is, maybe using manipulatives or representations of some sort. Not skip-counting! I really have found that skip-counting just perpetuates itself in many students’ minds and that they never stop skip-counting, which means they’re putting in not very much mental energy if it’s 2 times 3 but a ton of mental energy if it’s 7 times 8. Because frankly, it’s really hard to skip count by sevens. And by eights.

Bethany Lockhart Johnson (11:18):

I can get to 14 and then I’m like, wait, wait, what was next? Right? No, no, no…21! What do you feel are some misconceptions that maybe teachers, maybe parents have about fluency in math?

Valerie Henry (11:30):

I think maybe one of the first ones is that if students count or skip-count, their answers repetitively over and over and over and over, that they’re bound to memorize them. And the study that I did back in 2004, I actually had a school that had decided that they were going to do time tests with their students every day, all year. And that undoubtedly by the end of the year, those students would be fluent.

Bethany Lockhart Johnson (12:06):

And to clarify by time test, you mean like, sit down, pencil, paper, ready, go, worksheet kind of thing.

Valerie Henry (12:15):

Yes.

Bethany Lockhart Johnson (12:16):

Some of us might remember quite vividly.

Valerie Henry (12:18):

<laugh> Very vividly. And you know, you have to get it done within a certain amount of time. So they made it fun for the students. Apparently the students enjoyed it. I was a little leery about that, but in the end, when I went and checked on the students and I did one-on-one assessments with half of the students in every class that were randomly selected so that I could get a sense of where they were with their fluency—and these were first graders—they basically had nothing memorized. They were simply counting as fast as they possibly could. And, you know, mostly getting the right answers. But they had not memorized. So that’s one of the myths, I think, is that repetitive practice of counting gets you to memorization.

Bethany Lockhart Johnson (13:10):

If I put it in front of you enough times, you’ll become fluent.

Valerie Henry (13:14):

Right, right. Now these students didn’t really get any instruction, any help learning these. They just simply tested over and over and over. So that’s another thing that I think is a misconception. It’s that if we test students, but don’t really teach them fluency, then they’re going to become fluent. If we just test them every Friday or that kind of thing. And that they’ll learn them at home. But really what that means is a few lucky kids who have parents who have the time and the energy and the background to know how to help will take that job on at home. Not that many students are really that fortunate.

Dan Meyer (14:01):

It’s almost like the traditional approach, or the approach you’re describing, confuses process and product. It says, “Well, the product is that eventually fluent students will be able to do something like this, see these problems and answer them, answer them quickly,” and says, “Well, that must be the process then as well; let’s give them that products a whole lot.” But as I hear you describe fluency with bunny ears on shoelaces, there’s these images and approaches and techniques that require a very active teacher presence to support the development of it. That’s just kind of interesting to me.

Valerie Henry (14:35):

My initial project, the pilot project that I tried, was to simply ask teachers to follow five key principles. And the first one was to do something in the classroom every day for—I told them, even if you’ve only got five or 10 minutes, work on fluency for five or 10 minutes a day, and let’s see what happens. So that was one key element was just to teach it and to give students opportunities to get what the research calls for when you’re trying to memorize, which is actually immediate feedback. When I talk about immediate feedback with my student teachers, I say, “I’m talking about within one or two seconds of trying a problem, and then sort of immediately knowing, getting feedback of whether you got the answer right or not so that your brain can kind of gain that confidence. ‘Oh, not only did I come up with an answer, but somebody’s telling me it’s the correct answer.’”

Dan Meyer (15:38):

There’s a lot of apps now in the digital world that offer students questions about arithmetic or other kinds of mathematical concepts and give immediate feedback of a sort: the feedback of “You’re right; you’re wrong” sort. Is that effective fluency development, in your view?

Valerie Henry (15:57):

I haven’t heard and I haven’t seen them being super-effective. The ways I think about this are “Immediate feedback isn’t the only thing we need.” Probably one of the biggest things that we need is for students to develop strategies. And this is one of the other things I’ve learned from international research, from countries that do have students who become very fluent very early, is that they don’t shoot straight for memorization, but they go through this process of taking students from doing some counting and then quickly moving them to trying to use logic. So, “Hey, you really are confident that 2 + 2 is 4; so now let’s use that to think about 2 + 3.” Actually, as an algebra teacher, I would much rather have students that have a combination of memorization and these strategies, than students who’ve only memorized. Isn’t that interesting that my most successful algebra students were good strategy thinkers. Not just good memorizers.

Bethany Lockhart Johnson (17:09):

So you mentioned there were five that kind of helped root this idea in like, “What can teachers do? What is the best thing that teachers can do to support with fact fluency?” So, everyday was key.

Valerie Henry (17:22):

Then the next principle that I really focus on is switching immediately to the connected subtractions so that students—

Bethany Lockhart Johnson (17:33):

Not waiting until you’ve gotten all the way through addition. But making “Ooh!”

Valerie Henry (17:38):

Totally. And I didn’t do that the first year. And when we looked at the results of the assessments at the end of the year, we realized that our students were so much weaker in subtraction than addition. So the following pilot year, we tried this other approach of doing subtraction right after the students had developed some fluency with that small chunk of addition. And we got such better subtraction results.

Bethany Lockhart Johnson (18:11):

What are the other principles?

Valerie Henry (18:13):

The biggest one is to use these strategies. So the strategies makes the third. And then the fourth I would say is to go from concrete to representational to abstract.

Bethany Lockhart Johnson (18:27):

Don’t put away those manipulatives. Don’t put away those tools.

Valerie Henry (18:31):

Oh, so important to come back to them for multiplication and division. And my fifth principle is to wait on assessment. To use it as true assessment, but not race to start testing before students have had a chance to go through this three-phase process. Which is conceptual understanding with manipulatives; building strategies, usually with representations; and then working on building some speed until it’s just that natural fluency.

Bethany Lockhart Johnson (19:07):

I wanna say thank you so much for offering your really learned perspective, because you have not only done the research, but seen it in action and seen how shifting our notions of fluency and what fluency can be and what a powerful foundation it can be for all mathematicians. Really, that shift is so powerful. And I appreciate you sharing it with our listeners and with us. So we’re so excited that we got to talk with you today, Val—

Dan Meyer (19:35):

Thank you, Dr. Henry.

Valerie Henry (19:37):

You’re welcome!

Dan Meyer (19:41):

With us now we have Graham Fletcher and Tracy Zager, a couple of people who understand fluency at a very deep and classroom level. I wanna introduce them and get their perspective on what we’re trying to solve here with fluency. So Graham Fletcher has served in education in a lot of different roles: as a classroom teacher, math coach, math specialist, and he’s continually seeking new and innovative ways to support students and teachers in their development of conceptual understanding in elementary math. He’s the author, along with Tracy, of Building Fact Fluency, a fluency kit we’ll talk about, and openly shares so much of his wisdom and resources at gfletchy.com. Tracy Johnson Zager is a district math coach who loves to get teachers hooked on listening to kids’ mathematical ideas. She is a co-author of this toolkit, Building Fact Fluency, and the author of Becoming the Math Teacher You Wish You’d Had: Ideas and Strategies from Vibrant Classrooms. Tracy also edits professional books for teachers at Stenhouse Publishers, including, yours truly. Thank you for all that insight, Tracy, and support on the book.

Bethany Lockhart Johnson (20:49):

Dan and I were talking at the beginning of the episode about things we feel like, “Hey, I’m fluent in that. I’m fluent in that.”

Dan Meyer (20:55):

Just very curious: What’s something you would like to get fluent in outside of the world of mathematics, let’s say?

Tracy Zager (21:00):

I’ll say understanding the teenage brain, as the parent of a 13-year-old and 15-year-old. That’s the main thing I’m working on becoming fluent in!

Bethany Lockhart Johnson (21:10):

Ooh!

Dan Meyer (21:13):

A language fluency, perhaps. All right, Graham. How about you?

Graham Fletcher (21:16):

For me typing, it’s always been an Achilles heel of mine. So voice-to-text has been my friend. But it’s also been my nemesis in much of my texting here and working virtually over the last couple years. So yeah, typing.

Dan Meyer (21:33):

Do you folks have some way of helping us understand the difference in how fluency is handled by instructors and by learners?

Tracy Zager (21:40):

I would say that the lay meaning of fluency is definitely a little different than what we mean in the math education realm. When we’re talking about math fact fluency, which is just one type of fluency. So you gotta think about procedural fluency and computational fluency; there are lots of types of fluency in math. And Graham and I had the luxury of really focusing in specifically on math fact fluency. We’re looking at kind of a subset of the procedural fluency. So the words you hear in all the citations are accurate, efficient, and flexible. There’s this combination of kids get the right answer in a reasonable amount of time and with a reasonable amount of work and they can match their strategy or their approach to the situation. That’s where that flexibility comes in. And there’s like lots more I wanna say about that about sort of…I think one issue that comes up around fluency is that people are in a little bit of a rush. So they tend to think of the fluency as this automaticity or recall of known facts without having to think about it. And that is part of the end goal, but that’s not the journey to fluency. So this is one of the things that Graham and I thought about a lot was the path to fluency. The goal here it’s that student in middle school who’s learning something new doesn’t have to expend any effort to gather that fact. And they might do it because they’ve done it so many different ways that they’ve got it, and now they just know it, or they might be like my friend who’s a mathematician who still, if you say, “Six times 8,” she thinks in her head, “Twelve, 24, 48…” and she does this double-double-double associative property strategy. And it’s so efficient, you would never know. And that’s totally great. That’s fine. That’s not slowing her down. That’s not providing a drag in the middle of a more complex problem or new learning. So we’re really focused on having elementary school students be able to enter the middle and high school standards without having that pull out of the new thinking.

Graham Fletcher (23:53):

And as I think about that, I think about how so many students will memorize their facts, but then they haven’t memorized them with understanding. So that when they move into middle school and they move into high school, it’s almost like new knowledge and new understanding that’s applied from a stand-alone skill.

Bethany Lockhart Johnson (24:10):

So something that felt really unique to me, Graham, as I was diving into the toolkit, is your use of images, Tracy, Graham, is the way that you use images to help students notice and wonder to start making sense of these quantities and the decomposition of numbers using images. Can you talk a little bit about how images played a part in the way that you think about this building a fact fluency?

Graham Fletcher (24:41):

What I realized is so many times when we approach math with just naked numbers with so many of our elementary students, the numbers aren’t visible. The quantities. They can’t see them; they can’t move them. They’re just those squiggly figures that we were talking about earlier on. So how is it that we make the quantities visible, to where students feel as if they can grab an apple and move it around? Because a lot of times we start with the naked numbers and then if kids don’t get the naked numbers, then we kind of backfill it. But what would happen if we start with the images? And then from there, these rich, flourishing mathematical conversations develop from the images. And I think that was the premise and the goal of the toolkit.

Tracy Zager (25:22):

When you look at how fact fluency has traditionally been taught, it’s all naked numbers. And sometimes we wrote ’em sideways. Like, that’s it. That was our variety of task type. Right? Sometimes it’s vertical; sometimes it’s horizontal. And that was it. And I’ve just known way too many kids who couldn’t find a hook to hang their hat on with that. It didn’t connect to anything. And so part of why I knew Graham was the perfect person for this project was his strength in multimedia photography, art, video. And so we started from this idea of contexts that for each lesson string in the toolkit, there’s some kind of context. An everyday object, arranged in some kind of a way that reveals mathematical structure and invites students to notice the properties. So we start with images of everyday objects: tennis balls, paint pots…um, help me out; here are a million of them. Crayons—

Bethany Lockhart Johnson (26:18):

Crayons, markers.

Tracy Zager (26:18):

Shoes, right? Sushi, origami paper, all kinds of things in the different toolkits. So there’s a series of images or a three-act task or both around those everyday objects, and then story problems grounded in that context. And then there are images with mathematical tools that bring out different ideas, but relate in some way to the image talks. And we do all of that before we get to the naked number talk. Which we do, and by the time you get to the number talk, it’s pretty quick, ’cause they’ve been reasoning about cups of lemonade. And now when you give them the actual numerals, they’re all over it.

Bethany Lockhart Johnson (27:03):

I have to say too, as somebody who—particularly in middle school—navigated math anxiety, we recently talked with Allison Hintz and Anthony Smith about their amazing book Mathematizing Children’s Literature.

Tracy Zager (27:14):

Yay!

Bethany Lockhart Johnson (27:14):

And I was explaining, like, if I sat down at the beginning of a math class and my teacher opened a picture book and said, “We’re gonna start here,” I felt my whole body relax. And if we start with this image, if we start with just looking at an image and making sense of an image, I feel like that could be such a powerful touchstone for all the work you do from there.

Tracy Zager (27:41):

That’s core. That’s a core design principle, is that invitational access. There are no barriers to entry. There’s nothing to decode. There’s nothing formal. We’ve been learning from Dan for years about this, right? Of starting with the informal and then eventually layering in the formal. I was in a class in Maine where they were doing an image talk and it’s these boxes of pencils. It’s a stack of boxes of pencils and they’re open and you can see there are 10 pencils in each box. And so there are five boxes of pencils each with 10 pencils in it. And then the next image is 10 boxes of pencils and each box is half full. So now it’s 10 boxes each with five. And the kids are talking and talking and then the third image, I think there are seven boxes each with 10 pencils in it. And she said, “What do you think the next picture’s gonna be?” And this girl said, “You just never know with these people!” <laugh> I dunno!”

Bethany Lockhart Johnson (28:37):

That’s kinda true. Knowing you both, it’s kinda true.

Tracy Zager (28:42):

Like if it’s seven boxes with 10 in it, one kid said, I think it’s gonna be 14 boxes of five. And other kids are like, I think it’s gonna be 10 boxes with seven. And they start talking about which of those there are and the relationships between—

Bethany Lockhart Johnson (28:58):

But they’re making sense of numbers!

Tracy Zager (28:59):

Totally. So all the kids felt invited. They can offer something up. They’re noticing and wondering about that image. They’re talking about it in whatever informal language or home language that they speak. And that was core to us. That was a huge priority, because honestly, one of the motivations to talk about fluency is that it’s always been this gatekeeper. It has served to keep kids out of meaningful math. Particularly kids from marginalized or historically excluded communities. So they’re back at the round table, doing Mad Minutes, while the more advantaged kids are getting to do rich problem solving. And so, we thought, what if we could teach fact fluency through rich problem solving that everybody could access? That was like square one for us.

Bethany Lockhart Johnson (29:45):

That’s huge.

Dan Meyer (29:46):

That’s great to hear. What’s been helpful for me is to understand that students who are automatic, that’s just kind of what’s on the surface of things. And that below that might be some really robust kind of foundation or scaffolding that bleeds to a larger building being built, or it might be just really rickety and not offer a sturdy place to build farther up. It’s been really exciting to hear that. I wonder if you’d comment for a moment about, in the digital age and—I’m at Desmos and our sponsors are Amplify and we all work in the digital world quite a bit. There are a lot of what report to be solutions to the fluency issue, to developing fluency in the digital world. Just lots and lots of them. Some that are quite well used, others that are just like X, Y, or Z app on the market. You can find something. Do you have perspectives on these kinds of digital fluency building apps? Like, what about them works or doesn’t work? Let us know. Graham, how about you? And then Tracy, I’d love to hear your thoughts too.

Graham Fletcher (30:47):

Yeah, I think that’s a great question, ’cause there’s a lot of shiny bells and whistles out there right now that can really excite a lot of teachers. But I always come back to what works for me as a classroom teacher is probably gonna work in a digital world as well. So what are the things that I love and honor most about being in front of students, and how can I capture that in that virtual world? I think one of the things that really helps students make connections is coherence. I think coherence, especially when you leave students for—you don’t get to talk with them after the lesson is done—so I think about how we can purposefully sequence things through a day-to-day basis. I think coherence is something that gets really lost when we talk about fluency, especially with whether it be digital or whether it be print, because what ends up happening is we say, “OK, we have all these strategies we need to teach,” and it becomes a checklist. So how is it that we can just provide students the opportunity to play around in a space, whether it be digital or in person, but in a meaningful way that allows them the time and the space and that area to breathe and think, but be coherent. And connecting those lessons along the way. And I think coherence is one thing that a lot of the times it’s harder to—when we’re in the weeds, it’s so hard and difficult to zoom back out and say, “Do all these lessons connect? How do they intentionally connect? And how do they purposefully connect?” And without coherence, everything’s kind of broken down into that granular level. So when looking at—I think about Desmos and I think about the Toolkit and I think about how Tracy and I talked a lot about, “Well, this, does it connect with the context problem, does it connect with the image talk, or the lessons? Like, how does it all connect and how are we providing students an opportunity to make connections between the day-to-day instruction and lessons that we tackle?”

Tracy Zager (32:44):

I’m reminded of a conversation that Dan, you and I had a long time ago, in Portland, Maine, in a bar. I’ll just be honest. <laugh> And we were talking about how, in the earlier days of Desmos, you were stressed out by what you saw, which was kids one-on-one, on a device, in a silent room. And you were like, no, this is not it. This is not what technology is here to serve. We can do so many things better using technology appropriately, but we can’t lose talk and we can’t lose relationships and we can’t lose formative assessment and teachers listening to kids and kids listening to each other and helping each other understand their thinking. Right? So when I think about the tech that’s out there for fact fluency, most of it is gonna violate all rules I have around time testing. So that a whole bunch of it, I would just toss on that premise. They’re really no different than flashcards. It’s just flashcards set in junkyard heaps. Or, you know, underground caverns. Or with a volcano or whatever. It’s the same thing. There are some lovely visuals—I’m thinking of Berkeley Everett’s Math Flips. Those are really pretty. Mathigon has some really nice stuff that’s digital. And I think that those resources invite you to kind of ponder and notice things and talk about them. All the tools that we design in the toolkit are designed to get people talking to each other, and give teachers opportunities to pull alongside kids and listen in and understand where they are. For example, our games, we didn’t design the games to be played digitally, even though you could, and people did during COVID, because we want kids on the rug, next to each other, on their knees; I’ve seen kids like across tables. I was in a school recently where a kid was like, “I hope you believe in God, ’cause you’re going…!” You know what I mean? <laugh>. Like they’re all pumped up.

Bethany Lockhart Johnson (34:41):

They’re invested!

Tracy Zager (34:45):

They’re psyching each other up and down and they’re interacting and it’s social and the teacher’s walking around and she’s listening to the games. And they don’t actually need any bells and whistles. They need dice and they need counters and they need this game that is actually a game. In all of our conversations, games have to actually be games. Games cannot be “roll and record.” Games have to involve strategy. They have to be fun. So in designing those games, we didn’t feel like it brought any advantage to make that a digital platform. But things that did bring advantages digitally, like the ability to project these beautiful images or to use short video in the classroom, that really was a value-add that enabled us to do something different in math class than we had done before, and to get kids talking in a different way than they ever had before. When I think about fluency, historically, if you say like, “OK, it’s time to practice our math facts,” you hear a lot of groans. And when I see a Building Fact Fluency classroom and I say, “OK, it’s BFF time!” There’s like a “YEAAAAHHH!” You know? And so that’s what we’re after.

Graham Fletcher (35:47):

It’s all about kids, really, for us. And I think at the heart of it, we made all the decisions with teachers and kids at the forefront of it.

Tracy Zager (35:55):

I know of high schoolers who are newcomers, who have experienced very little formal education, and speak in other languages, are using it as high schoolers, because it involves language and math and all the deep work in the properties and it’s accessible, but it’s also not at all condescending or patronizing. Like we designed it to be appropriate for older kids. So that’s just something that I think we’re both really proud of. One thing we thought a lot about, especially in the multiplication-division kit is how a classroom teacher could use it and a coordinating educator in EL, Title, special education, intervention could also use it because there’s so much in it, that students could get to be experts, if they got extra time in it, using something that’s related and would give them additional practice. So they could play a game a little bit earlier than the rest of the classes. And they could come in already knowing about that game, or they could do a related task. We have all these optional tasks that no classroom teacher would ever have time to teach it all. So the special educator could use it and have kids doing a Same and Different or a True/False, or some of the optional games. And then the work in both special education and general education could connect.

Dan Meyer (37:20):

I just wanna say that this is an area that for so many students, as you’ve said, Tracy, it presents a barrier for their inclusion in mathematics. It’s a very emotionally fraught area of mathematics. And we really appreciate the wisdom you brought here. And just the care you’ve brought to the product itself. Your knowledge of teaching, knowledge of math, and yeah, especially a love for students feels like it’s really infused throughout Building Fact Fluency. If our listeners want to know more outside of this podcast, outside of the product itself, where can they find your words, your voice? Where you folks at these days? Tell ’em, Graham would you?

Graham Fletcher (37:57):

You can find us at Stenhouse, Building Fact Fluency. And then Tracy and I, currently playing around, sharing ideas a lot on Twitter, under the hashtag #BuildingFactFluency. That’s kind of where we can all come together and share ideas. And then also on the Facebook community, where there’s lots of teachers sharing ideas.

Bethany Lockhart Johnson (38:19):

If you were to ask our listeners like, “Hey, if you wanna keep thinking about this, here’s something you could try or here’s something you could go do,” what could be a challenge that we could share that could help us continue this conversation?

Graham Fletcher (38:35):

Online you can actually download a full lesson string. And a lesson string is a series of activities and resources that are purposefully connected. You can pick one or two of those from the Stenhouse web site, Building Fact Fluency. You can try the game. You can try one of those strategy-based games. You can try an image talk and just see how it goes. And just share and reflect back, whether on Twitter or on Facebook. But it’s kind of there, if you wanna give it a whirl. And as Tracy was sharing, even if you’re a middle-school teacher or a high-school teacher, we really tried to think about those middle-school and high-school students keeping it grade level-agnostic. Just so every student has those opportunities for those mathematical conversations. So download a lesson string and give it a whirl, and we’d love to hear how it goes.

Dan Meyer (39:25):

Bethany and I will be working the same challenge with people in our life.

Bethany Lockhart Johnson (39:29):

Yes.

Dan Meyer (39:29):

Enjoying some fact fluency with people in our homes, perhaps. We’ll see. And we’ll be sharing the results in the Math Teacher Lounge Facebook group. Graham and Tracy, thanks so much for being here. It was such a treat to chat with you both.

Bethany Lockhart Johnson (39:42):

I love learning with you and just helping to shift this idea of fluency into something that can be accessible and powerful and positive.

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What Valerie Henry says about math

“A lot of very fluent adults don’t always have every fact memorized. ”

– Val Henry

Meet the guests

Valerie Henry has been a math educator since 1986. She taught middle school math for 17 years and has worked as a lecturer at University of California Irvine since 2002. After doing her 2004 dissertation research on addition/subtraction fluency in first grade, Valerie created FactsWise, a daily mini-lesson approach that simultaneously develops  fluency,  number sense, and algebraic thinking. Additionally, she has provided curriculum and math professional development for K-12 teachers throughout her career, working with individual schools, districts, county offices of education, Illustrative Mathematics, the SBAC Digital Library, and the UCI Math Project.

Graham Fletcher has served in education as a classroom teacher, a math coach, and currently as a math specialist. He is continually seeking new and innovative ways to support students and teachers in their development of conceptual understanding in elementary mathematics. He is the author of Building Fact Fluency and openly shares many of his resources at gfletchy.com. Follow him on Twitter.

Tracy Johnston Zager is a district math coach who loves to get teachers hooked on listening to kids’ mathematical ideas. She is a co-author of the Building Fact Fluency toolkits and the author of Becoming the Math Teacher You Wish You’d Had: Ideas and Strategies from Vibrant Classrooms. Tracy also edits professional books by teachers, for teachers at Stenhouse Publishers. Follow her on Facebook.

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About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

Winter Wrap-Up 03: Ideas to build math fluency

Promotional graphic for "Math Teacher Lounge" episode featuring Valerie Henry, Ed.D., on ideas to build math fluency, with a photo of Valerie Henry in the bottom right corner.

Join us for the third episode in our Winter Wrap-Up! In this episode from season 3 of Math Teacher Lounge: The Podcast, we sit down with Dr. Valerie Henry to talk about math fluency and what that means for students. Listen as we dig into the research, hear Val’s three-part definition of fluency, and explore her five principles for developing it.

Explore more from Math Teacher Lounge by visiting our main page

Download Transcript

Dan Meyer (00:03)

Hey folks. Welcome back. This is Math Teacher Lounge, and I am one of your hosts, Dan Meyer.

Bethany Lockhart Johnson (00:07):

And I’m your other host, Bethany Lockhart Johnson. Hi, Dan.

Dan Meyer (00:11):

Hey, great to see you. We have a big one this week to chat about and some fantastic guests. We are chatting about fluency, which is the sort of word and concept that I feel like people have very, very non-neutral associations with it. A lot of them are very negative, for a lot of people.

Bethany Lockhart Johnson (00:26):

I saw you frown a little. What’s up with that, Dan? You kind of, like, shrank.

Dan Meyer (00:30):

I have strong feelings about it. You know, there’s lots of ways that people go about helping people become fluent in mathematics. And a lot of them are harmful for students, and ineffective. And it got me thinking about fluency as it exists outside of the world of mathematics, where we have a lot of very clear images of it. We’re getting fluent in things all the time. Like, as humans. Human development is the story of fluency. And I just was wondering….Bethany, would you describe yourself as fluent at something outside of the world of mathematics? What is that? How’d you get fluent at it? What was the process?

Bethany Lockhart Johnson (01:05):

Hmm, I think I’m a pretty fluent reader. I read all the time. I’m a happier person if I’ve read that day. I once saw this poster in a classroom; it said “10 Ways to Become a Better Reader: Read, Read, Read, Read, Read…you know, 10 times. Get it? Reading? You get better at reading by reading! So I would say reading. And it’s been kind of cool—I have a one-year-old who, it’s been really exciting slash overwhelmingly anxiety-producing to see him get very fluent with walking slash running, ’cause he’s getting faster every day. And it’s kind of fun. When I think of what’s something somebody’s trying to get fluent with…walking! He’s trying to be more fluid. He’s practicing transitions. He doesn’t wanna hold my hand while he traverses rocky terrain. He’s getting better at it. He’s practicing. What about you? What’s something…?

Dan Meyer (02:08):

I think about driving a lot. I’m a very fluent driver and I think a lot about when I was first a driver, you know? And how l have my hands on 10 and 2, vice grip, and do not talk to me; do not ask me anything; don’t ask me my NAME. I need to focus so hard. And then a year later, you know, I’m driving with one hand, smash the turn signal, take a sip off of whatever, change the CD. And then it’s no big deal.

Bethany Lockhart Johnson (02:38):

Wait, did you pass the first time? Your test?

Dan Meyer (02:40):

Yeah, I don’t like to brag about it. <laugh> But I do all the time. <laugh> But I got a hundred on my driving test. I don’t care who knows it. And I hope it’s everybody. But I guess all of this is just to say there are areas of life where fluency feels natural, with the case of walking. There’s areas of life where fluency feels motivating, with like driving—I wanna be able to switch the CD out or whatever. And there’s areas where fluency feels terrifying and hard to come by, like mathematics, sometimes. So we have a set of guests here. Our first guest will help us figure out what do we mean by fluency? And what’s the research say about what fluency is and how students develop it in mathematics? And then our other guests will help us think about what it looks like in practice in the classroom. What are some novel, new ways to work on fluency? So first up we have Val Henry, Dr. Val Henry.

Bethany Lockhart Johnson (03:32):

So we knew we needed help with the fluency definition, because when we think about it, it’s kind of big, right? And we wanted to look at what research about fluency really says. So we called on Valerie Henry. Val is a nationally board-certified teacher, taught middle school for 17 years, and since 2002 has worked with undergraduates graduates, credential candidates as a lecturer at the University of California, Irvine, one of my alma maters. So after doing her dissertation on addition and subtraction fluency in first grade, Val created a project to study ways to build addition and subtraction and multiplication and division fluency while also developing number sense in algebraic thinking. And the pilot grew and grew over the last 18 years into a powerful daily mini-lesson approach to facts fluency called FactsWise. And when we thought of fluency, the first person I thought of was Val. Welcome, Val Henry, to the Lounge! I’m so excited to have you here. Welcome.

Valerie Henry (04:36):

Thanks, Bethany. And thanks to you, Dan. It’s great to be here today.

Dan Meyer (04:41):

Great to have you; help yourself to whatever you find in the fridge. The names that people write down on those things in the bags are just recommendations. It’s potluck-style here. I’m curious, Val, if you’re, like, on an airplane, someone asks you what you do, and you say you study fluency…what is the layperson’s definition of what does it mean to be fluent in mathematics? And if you can give a brief tour through what the research says about what works and what doesn’t that would really help us orient our conversation here.

Valerie Henry (05:12):

The first thing I have to do when I talk to somebody on a plane is define the idea of fluency. And I often use an example of tying your shoelaces. Because that works with first graders as well as adults. This idea that when we first start trying to put our shoes on and get those shoelaces tied, somebody tries to, first of all, just do it for us. But then of course maybe tries to teach us the bunny-ears approach. And we struggle and struggle as little kids and eventually either the bunny-ears approach or something else starts to work for us. But we still have to pay attention to it. We have to think hard and it’s not easy. And then over time we get to the point where we basically don’t even think about it. When I tie my shoes in the morning. I’m not thinking about right-over-left and left-over-right and all of those things. I just do it. And so that’s a good, easy example of becoming fluent with something. I think what we’re talking about today though, is the basics, the adding and subtracting that we hope kids are going to have mastered maybe by second grade, and the multiplication and division facts that we wanna maybe have mastered by third, maybe fourth grade. So now what does that mean to become fluent with those basics? I have a three-part definition that seems to match up really nicely with the common core approach to fluency. Which is, first of all, we want the answers to be correct. And then second, we want the answers to be easy to know. And so what does that mean? Well, to me, it means without needing to count,

Bethany Lockhart Johnson (07:12):

You mean without having to kind of muscle through it? Or say more about you mean.

Valerie Henry (07:16):

Well, I guess what I mean is that when you watch a young child try and solve something even as simple as two plus three, they might put up two fingers and then go 3, 4, 5 with three more fingers winding up on their hand, one or the other of their hands. While they’re doing that, they don’t really have a sense of whether even their answer is right or not, quite often. Especially when you get to the larger adding and subtracting problems, you can see a lot of errors happening as they’re trying to count. And it’s taking up cognitive energy to do that counting process, especially as you get to the larger quantities. So my definition of fluency now is “getting it right without needing to do that hard work like counting.” Now, some people might say, well, we just want them to have ’em memorized. But in my research, I’ve learned that a lot of very fluid adults don’t always have every fact memorized. In fact, if you ask a room full of adults, what’s seven plus nine, you might learn that they can all get it correct quickly, quickly…but they don’t all have it memorized. And so when you ask them, “How did you get that?” Many of them will say, “Well, I just gave one from the 7 to the 9 and I know that 10 plus 6 is 16.”

Bethany Lockhart Johnson (08:53):

That’s such an important distinction. My brain literally just did that actually!

Valerie Henry (08:58):

<laugh> Right? <laugh> But you’re fluid with it, because it doesn’t take you much cognitive energy at all.

Bethany Lockhart Johnson (09:05):

Right.

Valerie Henry (09:07):

So now we have “correct without needing to put that cognitive energy,” which usually means that you’re counting. And then the third thing is “relatively quickly,” so that you’re not spending 15 seconds trying to figure it out. Even that part-whole strategy approach can be done really quickly, almost instantaneously. Or it can take a long time. So if a student can get the answer correct within, you know, three or four seconds— is I’m pretty generous—I figure that they’re pretty darn fluent with that fact. So that’s my three-part definition of these basics, fluency.

Dan Meyer (09:55):

I love the distinction between getting it correct and getting it quick. It’s possible to be quick with wrong answers. It’s possible to be like, “Those are separate components there.” And I echo Bethany’s appreciation for this third option in between knowing it instantaneously through memorization and muscling through it. But there’s like a continuum there of how much energy it took you to come up with it that all feels extremely helpful.

Valerie Henry (10:21):

And you know, one of the things that I’ve noticed is that when kids are pressured to come up with those instantaneous answers, they often default to guessing and get it wrong.

Bethany Lockhart Johnson (10:30):

Mm, yeah.

Valerie Henry (10:30):

So that’s one of the things that I’ve learned is that as we’re trying to help students develop fluency, it’s important to start with building their conceptual understanding of what it means to do, you know, 3 times 9 and what the correct answer is, maybe using manipulatives or representations of some sort. Not skip-counting! I really have found that skip-counting just perpetuates itself in many students’ minds and that they never stop skip-counting, which means they’re putting in not very much mental energy if it’s 2 times 3 but a ton of mental energy if it’s 7 times 8. Because frankly, it’s really hard to skip count by sevens. And by eights.

Bethany Lockhart Johnson (11:18):

I can get to 14 and then I’m like, wait, wait, what was next? Right? No, no, no…21! What do you feel are some misconceptions that maybe teachers, maybe parents have about fluency in math?

Valerie Henry (11:30):

I think maybe one of the first ones is that if students count or skip-count, their answers repetitively over and over and over and over, that they’re bound to memorize them. And the study that I did back in 2004, I actually had a school that had decided that they were going to do time tests with their students every day, all year. And that undoubtedly by the end of the year, those students would be fluent.

Bethany Lockhart Johnson (12:06):

And to clarify by time test, you mean like, sit down, pencil, paper, ready, go, worksheet kind of thing.

Valerie Henry (12:15):

Yes.

Bethany Lockhart Johnson (12:16):

Some of us might remember quite vividly.

Valerie Henry (12:18):

<laugh> Very vividly. And you know, you have to get it done within a certain amount of time. So they made it fun for the students. Apparently the students enjoyed it. I was a little leery about that, but in the end, when I went and checked on the students and I did one-on-one assessments with half of the students in every class that were randomly selected so that I could get a sense of where they were with their fluency—and these were first graders—they basically had nothing memorized. They were simply counting as fast as they possibly could. And, you know, mostly getting the right answers. But they had not memorized. So that’s one of the myths, I think, is that repetitive practice of counting gets you to memorization.

Bethany Lockhart Johnson (13:10):

If I put it in front of you enough times, you’ll become fluent.

Valerie Henry (13:14):

Right, right. Now these students didn’t really get any instruction, any help learning these. They just simply tested over and over and over. So that’s another thing that I think is a misconception. It’s that if we test students, but don’t really teach them fluency, then they’re going to become fluent. If we just test them every Friday or that kind of thing. And that they’ll learn them at home. But really what that means is a few lucky kids who have parents who have the time and the energy and the background to know how to help will take that job on at home. Not that many students are really that fortunate.

Dan Meyer (14:01):

It’s almost like the traditional approach, or the approach you’re describing, confuses process and product. It says, “Well, the product is that eventually fluent students will be able to do something like this, see these problems and answer them, answer them quickly,” and says, “Well, that must be the process then as well; let’s give them that products a whole lot.” But as I hear you describe fluency with bunny ears on shoelaces, there’s these images and approaches and techniques that require a very active teacher presence to support the development of it. That’s just kind of interesting to me.

Valerie Henry (14:35):

My initial project, the pilot project that I tried, was to simply ask teachers to follow five key principles. And the first one was to do something in the classroom every day for—I told them, even if you’ve only got five or 10 minutes, work on fluency for five or 10 minutes a day, and let’s see what happens. So that was one key element was just to teach it and to give students opportunities to get what the research calls for when you’re trying to memorize, which is actually immediate feedback. When I talk about immediate feedback with my student teachers, I say, “I’m talking about within one or two seconds of trying a problem, and then sort of immediately knowing, getting feedback of whether you got the answer right or not so that your brain can kind of gain that confidence. ‘Oh, not only did I come up with an answer, but somebody’s telling me it’s the correct answer.’”

Dan Meyer (15:38):

There’s a lot of apps now in the digital world that offer students questions about arithmetic or other kinds of mathematical concepts and give immediate feedback of a sort: the feedback of “You’re right; you’re wrong” sort. Is that effective fluency development, in your view?

Valerie Henry (15:57):

I haven’t heard and I haven’t seen them being super-effective. The ways I think about this are “Immediate feedback isn’t the only thing we need.” Probably one of the biggest things that we need is for students to develop strategies. And this is one of the other things I’ve learned from international research, from countries that do have students who become very fluent very early, is that they don’t shoot straight for memorization, but they go through this process of taking students from doing some counting and then quickly moving them to trying to use logic. So, “Hey, you really are confident that 2 + 2 is 4; so now let’s use that to think about 2 + 3.” Actually, as an algebra teacher, I would much rather have students that have a combination of memorization and these strategies, than students who’ve only memorized. Isn’t that interesting that my most successful algebra students were good strategy thinkers. Not just good memorizers.

Bethany Lockhart Johnson (17:09):

So you mentioned there were five that kind of helped root this idea in like, “What can teachers do? What is the best thing that teachers can do to support with fact fluency?” So, everyday was key.

Valerie Henry (17:22):

Then the next principle that I really focus on is switching immediately to the connected subtractions so that students—

Bethany Lockhart Johnson (17:33):

Not waiting until you’ve gotten all the way through addition. But making “Ooh!”

Valerie Henry (17:38):

Totally. And I didn’t do that the first year. And when we looked at the results of the assessments at the end of the year, we realized that our students were so much weaker in subtraction than addition. So the following pilot year, we tried this other approach of doing subtraction right after the students had developed some fluency with that small chunk of addition. And we got such better subtraction results.

Bethany Lockhart Johnson (18:11):

What are the other principles?

Valerie Henry (18:13):

The biggest one is to use these strategies. So the strategies makes the third. And then the fourth I would say is to go from concrete to representational to abstract.

Bethany Lockhart Johnson (18:27):

Don’t put away those manipulatives. Don’t put away those tools.

Valerie Henry (18:31):

Oh, so important to come back to them for multiplication and division. And my fifth principle is to wait on assessment. To use it as true assessment, but not race to start testing before students have had a chance to go through this three-phase process. Which is conceptual understanding with manipulatives; building strategies, usually with representations; and then working on building some speed until it’s just that natural fluency.

Bethany Lockhart Johnson (19:07):

I wanna say thank you so much for offering your really learned perspective, because you have not only done the research, but seen it in action and seen how shifting our notions of fluency and what fluency can be and what a powerful foundation it can be for all mathematicians. Really, that shift is so powerful. And I appreciate you sharing it with our listeners and with us. So we’re so excited that we got to talk with you today, Val—

Dan Meyer (19:35):

Thank you, Dr. Henry.

Valerie Henry (19:37):

You’re welcome!

Dan Meyer (19:41):

With us now we have Graham Fletcher and Tracy Zager, a couple of people who understand fluency at a very deep and classroom level. I wanna introduce them and get their perspective on what we’re trying to solve here with fluency. So Graham Fletcher has served in education in a lot of different roles: as a classroom teacher, math coach, math specialist, and he’s continually seeking new and innovative ways to support students and teachers in their development of conceptual understanding in elementary math. He’s the author, along with Tracy, of Building Fact Fluency, a fluency kit we’ll talk about, and openly shares so much of his wisdom and resources at gfletchy.com. Tracy Johnson Zager is a district math coach who loves to get teachers hooked on listening to kids’ mathematical ideas. She is a co-author of this toolkit, Building Fact Fluency, and the author of Becoming the Math Teacher You Wish You’d Had: Ideas and Strategies from Vibrant Classrooms. Tracy also edits professional books for teachers at Stenhouse Publishers, including, yours truly. Thank you for all that insight, Tracy, and support on the book.

Bethany Lockhart Johnson (20:49):

Dan and I were talking at the beginning of the episode about things we feel like, “Hey, I’m fluent in that. I’m fluent in that.”

Dan Meyer (20:55):

Just very curious: What’s something you would like to get fluent in outside of the world of mathematics, let’s say?

Tracy Zager (21:00):

I’ll say understanding the teenage brain, as the parent of a 13-year-old and 15-year-old. That’s the main thing I’m working on becoming fluent in!

Bethany Lockhart Johnson (21:10):

Ooh!

Dan Meyer (21:13):

A language fluency, perhaps. All right, Graham. How about you?

Graham Fletcher (21:16):

For me typing, it’s always been an Achilles heel of mine. So voice-to-text has been my friend. But it’s also been my nemesis in much of my texting here and working virtually over the last couple years. So yeah, typing.

Dan Meyer (21:33):

Do you folks have some way of helping us understand the difference in how fluency is handled by instructors and by learners?

Tracy Zager (21:40):

I would say that the lay meaning of fluency is definitely a little different than what we mean in the math education realm. When we’re talking about math fact fluency, which is just one type of fluency. So you gotta think about procedural fluency and computational fluency; there are lots of types of fluency in math. And Graham and I had the luxury of really focusing in specifically on math fact fluency. We’re looking at kind of a subset of the procedural fluency. So the words you hear in all the citations are accurate, efficient, and flexible. There’s this combination of kids get the right answer in a reasonable amount of time and with a reasonable amount of work and they can match their strategy or their approach to the situation. That’s where that flexibility comes in. And there’s like lots more I wanna say about that about sort of…I think one issue that comes up around fluency is that people are in a little bit of a rush. So they tend to think of the fluency as this automaticity or recall of known facts without having to think about it. And that is part of the end goal, but that’s not the journey to fluency. So this is one of the things that Graham and I thought about a lot was the path to fluency. The goal here it’s that student in middle school who’s learning something new doesn’t have to expend any effort to gather that fact. And they might do it because they’ve done it so many different ways that they’ve got it, and now they just know it, or they might be like my friend who’s a mathematician who still, if you say, “Six times 8,” she thinks in her head, “Twelve, 24, 48…” and she does this double-double-double associative property strategy. And it’s so efficient, you would never know. And that’s totally great. That’s fine. That’s not slowing her down. That’s not providing a drag in the middle of a more complex problem or new learning. So we’re really focused on having elementary school students be able to enter the middle and high school standards without having that pull out of the new thinking.

Graham Fletcher (23:53):

And as I think about that, I think about how so many students will memorize their facts, but then they haven’t memorized them with understanding. So that when they move into middle school and they move into high school, it’s almost like new knowledge and new understanding that’s applied from a stand-alone skill.

Bethany Lockhart Johnson (24:10):

So something that felt really unique to me, Graham, as I was diving into the toolkit, is your use of images, Tracy, Graham, is the way that you use images to help students notice and wonder to start making sense of these quantities and the decomposition of numbers using images. Can you talk a little bit about how images played a part in the way that you think about this building a fact fluency?

Graham Fletcher (24:41):

What I realized is so many times when we approach math with just naked numbers with so many of our elementary students, the numbers aren’t visible. The quantities. They can’t see them; they can’t move them. They’re just those squiggly figures that we were talking about earlier on. So how is it that we make the quantities visible, to where students feel as if they can grab an apple and move it around? Because a lot of times we start with the naked numbers and then if kids don’t get the naked numbers, then we kind of backfill it. But what would happen if we start with the images? And then from there, these rich, flourishing mathematical conversations develop from the images. And I think that was the premise and the goal of the toolkit.

Tracy Zager (25:22):

When you look at how fact fluency has traditionally been taught, it’s all naked numbers. And sometimes we wrote ’em sideways. Like, that’s it. That was our variety of task type. Right? Sometimes it’s vertical; sometimes it’s horizontal. And that was it. And I’ve just known way too many kids who couldn’t find a hook to hang their hat on with that. It didn’t connect to anything. And so part of why I knew Graham was the perfect person for this project was his strength in multimedia photography, art, video. And so we started from this idea of contexts that for each lesson string in the toolkit, there’s some kind of context. An everyday object, arranged in some kind of a way that reveals mathematical structure and invites students to notice the properties. So we start with images of everyday objects: tennis balls, paint pots…um, help me out; here are a million of them. Crayons—

Bethany Lockhart Johnson (26:18):

Crayons, markers.

Tracy Zager (26:18):

Shoes, right? Sushi, origami paper, all kinds of things in the different toolkits. So there’s a series of images or a three-act task or both around those everyday objects, and then story problems grounded in that context. And then there are images with mathematical tools that bring out different ideas, but relate in some way to the image talks. And we do all of that before we get to the naked number talk. Which we do, and by the time you get to the number talk, it’s pretty quick, ’cause they’ve been reasoning about cups of lemonade. And now when you give them the actual numerals, they’re all over it.

Bethany Lockhart Johnson (27:03):

I have to say too, as somebody who—particularly in middle school—navigated math anxiety, we recently talked with Allison Hintz and Anthony Smith about their amazing book Mathematizing Children’s Literature.

Tracy Zager (27:14):

Yay!

Bethany Lockhart Johnson (27:14):

And I was explaining, like, if I sat down at the beginning of a math class and my teacher opened a picture book and said, “We’re gonna start here,” I felt my whole body relax. And if we start with this image, if we start with just looking at an image and making sense of an image, I feel like that could be such a powerful touchstone for all the work you do from there.

Tracy Zager (27:41):

That’s core. That’s a core design principle, is that invitational access. There are no barriers to entry. There’s nothing to decode. There’s nothing formal. We’ve been learning from Dan for years about this, right? Of starting with the informal and then eventually layering in the formal. I was in a class in Maine where they were doing an image talk and it’s these boxes of pencils. It’s a stack of boxes of pencils and they’re open and you can see there are 10 pencils in each box. And so there are five boxes of pencils each with 10 pencils in it. And then the next image is 10 boxes of pencils and each box is half full. So now it’s 10 boxes each with five. And the kids are talking and talking and then the third image, I think there are seven boxes each with 10 pencils in it. And she said, “What do you think the next picture’s gonna be?” And this girl said, “You just never know with these people!” <laugh> I dunno!”

Bethany Lockhart Johnson (28:37):

That’s kinda true. Knowing you both, it’s kinda true.

Tracy Zager (28:42):

Like if it’s seven boxes with 10 in it, one kid said, I think it’s gonna be 14 boxes of five. And other kids are like, I think it’s gonna be 10 boxes with seven. And they start talking about which of those there are and the relationships between—

Bethany Lockhart Johnson (28:58):

But they’re making sense of numbers!

Tracy Zager (28:59):

Totally. So all the kids felt invited. They can offer something up. They’re noticing and wondering about that image. They’re talking about it in whatever informal language or home language that they speak. And that was core to us. That was a huge priority, because honestly, one of the motivations to talk about fluency is that it’s always been this gatekeeper. It has served to keep kids out of meaningful math. Particularly kids from marginalized or historically excluded communities. So they’re back at the round table, doing Mad Minutes, while the more advantaged kids are getting to do rich problem solving. And so, we thought, what if we could teach fact fluency through rich problem solving that everybody could access? That was like square one for us.

Bethany Lockhart Johnson (29:45):

That’s huge.

Dan Meyer (29:46):

That’s great to hear. What’s been helpful for me is to understand that students who are automatic, that’s just kind of what’s on the surface of things. And that below that might be some really robust kind of foundation or scaffolding that bleeds to a larger building being built, or it might be just really rickety and not offer a sturdy place to build farther up. It’s been really exciting to hear that. I wonder if you’d comment for a moment about, in the digital age and—I’m at Desmos and our sponsors are Amplify and we all work in the digital world quite a bit. There are a lot of what report to be solutions to the fluency issue, to developing fluency in the digital world. Just lots and lots of them. Some that are quite well used, others that are just like X, Y, or Z app on the market. You can find something. Do you have perspectives on these kinds of digital fluency building apps? Like, what about them works or doesn’t work? Let us know. Graham, how about you? And then Tracy, I’d love to hear your thoughts too.

Graham Fletcher (30:47):

Yeah, I think that’s a great question, ’cause there’s a lot of shiny bells and whistles out there right now that can really excite a lot of teachers. But I always come back to what works for me as a classroom teacher is probably gonna work in a digital world as well. So what are the things that I love and honor most about being in front of students, and how can I capture that in that virtual world? I think one of the things that really helps students make connections is coherence. I think coherence, especially when you leave students for—you don’t get to talk with them after the lesson is done—so I think about how we can purposefully sequence things through a day-to-day basis. I think coherence is something that gets really lost when we talk about fluency, especially with whether it be digital or whether it be print, because what ends up happening is we say, “OK, we have all these strategies we need to teach,” and it becomes a checklist. So how is it that we can just provide students the opportunity to play around in a space, whether it be digital or in person, but in a meaningful way that allows them the time and the space and that area to breathe and think, but be coherent. And connecting those lessons along the way. And I think coherence is one thing that a lot of the times it’s harder to—when we’re in the weeds, it’s so hard and difficult to zoom back out and say, “Do all these lessons connect? How do they intentionally connect? And how do they purposefully connect?” And without coherence, everything’s kind of broken down into that granular level. So when looking at—I think about Desmos and I think about the Toolkit and I think about how Tracy and I talked a lot about, “Well, this, does it connect with the context problem, does it connect with the image talk, or the lessons? Like, how does it all connect and how are we providing students an opportunity to make connections between the day-to-day instruction and lessons that we tackle?”

Tracy Zager (32:44):

I’m reminded of a conversation that Dan, you and I had a long time ago, in Portland, Maine, in a bar. I’ll just be honest. <laugh> And we were talking about how, in the earlier days of Desmos, you were stressed out by what you saw, which was kids one-on-one, on a device, in a silent room. And you were like, no, this is not it. This is not what technology is here to serve. We can do so many things better using technology appropriately, but we can’t lose talk and we can’t lose relationships and we can’t lose formative assessment and teachers listening to kids and kids listening to each other and helping each other understand their thinking. Right? So when I think about the tech that’s out there for fact fluency, most of it is gonna violate all rules I have around time testing. So that a whole bunch of it, I would just toss on that premise. They’re really no different than flashcards. It’s just flashcards set in junkyard heaps. Or, you know, underground caverns. Or with a volcano or whatever. It’s the same thing. There are some lovely visuals—I’m thinking of Berkeley Everett’s Math Flips. Those are really pretty. Mathigon has some really nice stuff that’s digital. And I think that those resources invite you to kind of ponder and notice things and talk about them. All the tools that we design in the toolkit are designed to get people talking to each other, and give teachers opportunities to pull alongside kids and listen in and understand where they are. For example, our games, we didn’t design the games to be played digitally, even though you could, and people did during COVID, because we want kids on the rug, next to each other, on their knees; I’ve seen kids like across tables. I was in a school recently where a kid was like, “I hope you believe in God, ’cause you’re going…!” You know what I mean? <laugh>. Like they’re all pumped up.

Bethany Lockhart Johnson (34:41):

They’re invested!

Tracy Zager (34:45):

They’re psyching each other up and down and they’re interacting and it’s social and the teacher’s walking around and she’s listening to the games. And they don’t actually need any bells and whistles. They need dice and they need counters and they need this game that is actually a game. In all of our conversations, games have to actually be games. Games cannot be “roll and record.” Games have to involve strategy. They have to be fun. So in designing those games, we didn’t feel like it brought any advantage to make that a digital platform. But things that did bring advantages digitally, like the ability to project these beautiful images or to use short video in the classroom, that really was a value-add that enabled us to do something different in math class than we had done before, and to get kids talking in a different way than they ever had before. When I think about fluency, historically, if you say like, “OK, it’s time to practice our math facts,” you hear a lot of groans. And when I see a Building Fact Fluency classroom and I say, “OK, it’s BFF time!” There’s like a “YEAAAAHHH!” You know? And so that’s what we’re after.

Graham Fletcher (35:47):

It’s all about kids, really, for us. And I think at the heart of it, we made all the decisions with teachers and kids at the forefront of it.

Tracy Zager (35:55):

I know of high schoolers who are newcomers, who have experienced very little formal education, and speak in other languages, are using it as high schoolers, because it involves language and math and all the deep work in the properties and it’s accessible, but it’s also not at all condescending or patronizing. Like we designed it to be appropriate for older kids. So that’s just something that I think we’re both really proud of. One thing we thought a lot about, especially in the multiplication-division kit is how a classroom teacher could use it and a coordinating educator in EL, Title, special education, intervention could also use it because there’s so much in it, that students could get to be experts, if they got extra time in it, using something that’s related and would give them additional practice. So they could play a game a little bit earlier than the rest of the classes. And they could come in already knowing about that game, or they could do a related task. We have all these optional tasks that no classroom teacher would ever have time to teach it all. So the special educator could use it and have kids doing a Same and Different or a True/False, or some of the optional games. And then the work in both special education and general education could connect.

Dan Meyer (37:20):

I just wanna say that this is an area that for so many students, as you’ve said, Tracy, it presents a barrier. It’s a very emotionally fraught area of mathematics. And we really appreciate the wisdom you brought here. And just the care you’ve brought to the product itself. Your knowledge of teaching, knowledge of math, and yeah, especially a love for students feels like it’s really infused throughout Building Fact Fluency. If our listeners want to know more outside of this podcast, outside of the product itself, where can they find your words, your voice? Where you folks at these days? Tell ’em, Graham would you?

Graham Fletcher (37:57):

You can find us at Stenhouse, Building Fact Fluency. And then Tracy and I, currently playing around, sharing ideas a lot on Twitter, under the hashtag #BuildingFactFluency. That’s kind of where we can all come together and share ideas. And then also on the Facebook community, where there’s lots of teachers sharing ideas.

Bethany Lockhart Johnson (38:19):

If you were to ask our listeners like, “Hey, if you wanna keep thinking about this, here’s something you could try or here’s something you could go do,” what could be a challenge that we could share that could help us continue this conversation?

Graham Fletcher (38:35):

Online you can actually download a full lesson string. And a lesson string is a series of activities and resources that are purposefully connected. You can pick one or two of those from the Stenhouse web site, Building Fact Fluency. You can try the game. You can try one of those strategy-based games. You can try an image talk and just see how it goes. And just share and reflect back, whether on Twitter or on Facebook. But it’s kind of there, if you wanna give it a whirl. And as Tracy was sharing, even if you’re a middle-school teacher or a high-school teacher, we really tried to think about those middle-school and high-school students keeping it grade level-agnostic. Just so every student has those opportunities for those mathematical conversations. So download a lesson string and give it a whirl, and we’d love to hear how it goes.

Dan Meyer (39:25):

Bethany and I will be working the same challenge with people in our life.

Bethany Lockhart Johnson (39:29):

Yes.

Dan Meyer (39:29):

Enjoying some fact fluency with people in our homes, perhaps. We’ll see. And we’ll be sharing the results in the Math Teacher Lounge Facebook group. Graham and Tracy, thanks so much for being here. It was such a treat to chat with you both.

Bethany Lockhart Johnson (39:42):

I love learning with you and just helping to shift this idea of fluency into something that can be accessible and powerful and positive.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Valerie Henry says about math

“A lot of very fluent adults don’t always have every fact memorized. ”

– Val Henry

Meet the guest

Valerie Henry has been a math educator since 1986. She taught middle school math for 17 years and has worked as a lecturer at University of California Irvine since 2002. After doing her 2004 dissertation research on addition/subtraction fluency in first grade, Valerie created FactsWise, a daily mini-lesson approach that simultaneously develops  fluency,  number sense, and algebraic thinking. Additionally, she has provided curriculum and math professional development for K-12 teachers throughout her career, working with individual schools, districts, county offices of education, Illustrative Mathematics, the SBAC Digital Library, and the UCI Math Project.

An older person with short gray hair and glasses, wearing a blue sweater, is outdoors with greenery and a fence in the background.
Podcast cover for "Math Teacher Lounge" with Bethany Lockhart Johnson and Dan Meyer; bold text on orange and teal semicircle background.

About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

Families and caregivers, welcome to Amplify Desmos Math K–5!

Welcome to the Amplify Desmos Math K–5 Caregiver Hub. We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy the math journey with them! Below are some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math.

Para la versión en español, haga clic aquí.

Three children are engaging in a math activity with a grid and orange markers. One child holds a "9-3" card. The background includes beach elements and abstract math symbols.

Caregiver Unit Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of key concepts, plus a problem from the lesson practice set you can work through with your student. You’ll find a Caregiver Resource for each unit, in both English and Spanish.

Unit 1: Math in Our World

Unit 2: Numbers 1–10

Unit 3: Flat Shapes All Around Us

Unit 4: Understanding Addition and Subtraction

Unit 5: Make and Break Apart Numbers Within 10

Unit 6: Numbers 0–20

Unit 7: Solid Shapes All Around Us

Unit 1: Adding, Subtracting, and Working With Data

Unit 2: Addition and Subtraction Story Problems

Unit 3: Adding and Subtracting Within 20

Unit 4: Numbers to 99

Unit 5: Adding Within 100

Unit 6: Measuring Lengths of Up to 120 Length Units

Unit 7: Geometry and Time

Unit 1: Working With Data and Solving Comparison Problems

Unit 2: Adding and Subtracting Within 100

Unit 3: Measuring Length

Unit 4: Addition and Subtraction on the Number Line

Unit 5: Numbers to 1,000

Unit 6: Geometry and Time

Unit 7: Adding and Subtracting Within 1,000

Unit 8: Equal Groups

Unit 1: Introducing Multiplication

Unit 2: Area and Multiplication

Unit 3: Wrapping Up Addition and Subtraction Within 1,000

Unit 4: Relating Multiplication to Division

Unit 5: Fractions as Numbers

Unit 6: Measuring Length, Time, Liquid Volume, and Weight

Unit 7: Two-Dimensional Shapes and Perimeter

Unit 1: Factors and Multiples

Unit 2: Fraction Equivalence and Comparison

Unit 3: Extending Operations to Fractions

Unit 4: From Hundredths to Hundred Thousands

Unit 5: Multiplicative Comparison and Measurement

Unit 6: Multiplying and Dividing Multi-Digit Numbers

Unit 7: Angles and Properties of Shapes

Unit 1: Volume

Unit 2: Fractions as Quotients and Fraction Multiplication

Unit 3: Multiplying and Dividing Fractions

Unit 4: Multiplication and Division With Multi-Digit Whole Numbers

Unit 5: Place Value Patterns and Decimal Operations

Unit 6: More Decimal and Fraction Operations

Unit 7: Shapes on the Coordinate Plane

Unit refresh videos

Unit 1

  • Sub-Unit 2 – Answering the Question “Are There Enough?”
  • Sub-Unit 3 – Counting and Cardinality

Unit 2

  • Sub-Unit 1 – Comparing 2 Groups Using the Terms More, Fewer, and Same
  • Sub-Unit 2 – Counting Objects in Different Orders
  • Sub-Unit 3 – Making Groups to Represent Numerals
  • Sub-Unit 4 – Comparing Written Numbers

Unit 3

  • Sub-Unit 1 – Identifying Circles and Triangles in Different Sizes and Orientations
  • Sub-Unit 2 – Using Positional Words to Describe the Location of Shapes

Unit 4

  • Sub-Unit 1 – Adding and Subtracting Within 10
  • Sub-Unit 2 – Representing Addition and Subtraction Story Problems
  • Sub-Unit 3 – Finding the Values of Expressions

Unit 5

Unit 1

  • Sub-Unit 1 – Organizing Data to Count How Many in Each Category
  • Sub-Unit 2 – Counting on to Add and Counting Back to Subtract
  • Sub-Unit 3 – Representing 2 Categories of Data With Addition Equations

Unit 2

  • Sub-Unit 1 – Representing and Solving Add To, Change Unknown Story Problems
  • Sub-Unit 2 – Using Addition or Subtraction to Find an Unknown Part of a Total Amount
  • Sub-Unit 3 – Solving Compare, Difference Unknown Problems
  • Sub-Unit 4 – Making Sense of Story Problems With Different Questions

Unit 3

  • Sub-Unit 1 – Finding a Difference Using the Relationship Between Addition and Subtraction
  • Sub-Unit 2 – Using the Structure of Teen Numbers to Find Missing Addends
  • Sub-Unit 3 – Breaking Apart Addends to Make 10 When Adding
  • Sub-Unit 4 – Subtracting From Teen Numbers in Parts to Get to 10

Unit 4

  • Sub-Unit 1 – Adding a Ten To and Subtracting a Ten From Multiples of 10
  • Sub-Unit 2 – Representing and Writing Two-Digit Numbers
  • Sub-Unit 3 – Comparing Two-Digit Numbers
  • Sub-Unit 4 – Representing the Same Two-Digit Number With Different Amounts of Tens and Ones

Unit 5

  • Sub-Unit 1 – Adding a Number of Tens or Ones to a Two-Digit Number
  • Sub-Unit 2 – Adding a Two-Digit Number and a One-Digit Number When Composing a Ten is Necessary
  • Sub-Unit 3 – Adding a Two-Digit Number and a Two-Digit Number When Composing a Ten is Necessary

Unit 1

  • Sub-Unit 1 – Choosing Strategies to Add Within 20
  • Sub-Unit 2 – Representing Data in a Picture Graph and Bar Graph
  • Sub-Unit 3 – Finding the Difference Between 2 Categories Shown on a Bar Graph

Unit 2

  • Sub-Unit 1 – Strategies to Solve Story Problems Involving Money
  • Sub-Unit 2 – Decomposing a Ten When Subtracting by Place
  • Sub-Unit 3 – Making Sense of Story Problems About Comparing That Use the Word More
  • Sub-Unit 4 – Making Sense of One- and Two-Step Story Problems

Unit 3

  • Sub-Unit 1 – Measuring the Length of an Object in Centimeters Using a Ruler
  • Sub-Unit 2 – Measuring Objects in Inches and Feet
  • Sub-Unit 3 – Representing Measurement Data on a Line Plot

Unit 4

  • Sub-Unit 1 – Locating Numbers on Number Lines
  • Sub-Unit 2 – Representing Addition and Subtraction Strategies on a Number Line

Unit 5

  • Sub-Unit 1 – Composing Hundreds to Represent Three-Digit Numbers
  • Sub-Unit 2 – Comparing Three-Digit Numbers

Unit 1

  • Sub-Unit 1 – Representing Equal-Groups Situations With Equal-Groups Drawings
  • Sub-Unit 2 – Representing Arrays With Multiplication Equations
  • Sub-Unit 3 – Representing Data Using Scaled Bar Graphs

Unit 2

  • Sub-Unit 1 – Determining the Area of a Rectangle Using Counting and Skip Counting
  • Sub-Unit 2 – Determining the Area of a Rectangle Using Multiplication
  • Sub-Unit 3 – Decomposing to Determine the Area of Rectilinear Figures

Unit 3

  • Sub-Unit 1 – Using the Expanded Form and Partial Sums Algorithms to Add
  • Sub-Unit 2 – Using the Expanded Form Algorithm to Subtract
  • Sub-Unit 3 – Rounding Numbers to the Nearest Hundred and Ten Using Number Lines
  • Sub-Unit 4 – Representing and Solving Two-Step Story Problems Involving Multiplication

Unit 4

  • Sub-Unit 1 – Representing Division Situations With Equal-Groups Drawings
  • Sub-Unit 2 – Representing an Equal-Groups Problem With a Division and Multiplication Equation
  • Sub-Unit 3 – Using the Distributive Property of Multiplication to Multiply a One-Digit Number by a Teen Number
  • Sub-Unit 4 – Decomposing Dividends to Divide

Unit 5

  • Sub-Unit 1 – Writing Unit and Non-Unit Fractions
  • Sub-Unit 2 – Locating Non-Unit Fractions on the Number Line
  • Sub-Unit 3 – Identifying Equivalent Fractions
  • Sub-Unit 4 – Comparing Fractions With the Same Denominator or Same Numerator

Unit 1

  • Sub-Unit 1 – Using Factor Pairs to Determine All the Possible Side Lengths of a Rectangle With a Given Area
  • Sub-Unit 2 – Finding Multiples and Common Multiples

Unit 2

  • Sub-Unit 1 – Locating Fractions with Different Denominators On the Same Number Line
  • Sub-Unit 2 – Using Multiples or Factors to Determine Equivalent Fractions
  • Sub-Unit 3 – Comparing Fractions Using Equivalent Fractions With Common Denominators

Unit 3

  • Sub-Unit 1 – Adding and Subtracting Fractions with the Same Denominator
  • Sub-Unit 2 – Multiplying Whole Numbers and Fractions
  • Sub-Unit 3 – Adding Fractions with Denominators of 10 and 100

Unit 4

  • Sub-Unit 1 – Writing Fractions With Denominators of 10 and 100 as Decimals
  • Sub-Unit 2 – Relationships Between Place Values in Multi-Digit Whole Numbers
  • Sub-Unit 3 – Comparing Multi-Digit Numbers
  • Sub-Unit 4 – Using the Standard Algorithm to Subtract When Decomposing is Required

Unit 5

  • Sub-Unit 1 – Representing Multiplicative Comparison Situations
  • Sub-Unit 2 – Converting Measurements in the Metric System
  • Sub-Unit 3 – Comparing Measurements

Unit 1

  • Sub-Unit 1 – Using the Layered Structure of a Rectangular Prism to Determine the Volume
  • Sub-Unit 2 – Determining the Volume of a Rectangular Prism
  • Sub-Unit 3 – Determining the Volume of Figures Composed of Rectangular Prisms

Unit 2

  • Sub-Unit 1 – Representing Equal-Sharing Story Problems with Fractional Quotients
  • Sub-Unit 2 – Representing Fractions with Equivalent Multiplication and Division Expressions
  • Sub-Unit 3 – Determining the Area of a Rectangle With a Fractional Side Length

Unit 3

  • Sub-Unit 1 – Representing Multiplication of 2 Unit Fractions with Diagrams
  • Sub-Unit 2 – Dividing Whole Numbers by Unit Fractions

Unit 4

  • Sub-Unit 1 – Multiplying Multi-digit Whole Numbers Using the Partial Products and Standard Algorithms
  • Sub-Unit 2 – Dividing Multi-Digit Whole Numbers Using Partial Quotients
  • Sub-Unit 3 – Representing Multi-Step Story Problems with Equations

Unit 5

  • Sub-Unit 1 – Comparing Decimals
  • Sub-Unit 2 – Using the Standard Algorithms to Add and Subtract Decimals
  • Sub-Unit 3 – Multiplying a Whole Number and a Decimal Using the Distributive Property
  • Sub-Unit 4 – Dividing Whole Numbers by Decimals Less Than 1

Access Amplify Desmos Math at home.

In addition to a print Student Edition workbook, your student will have digital access to all learning, practice, and assessment materials through the Amplify platform. The digital curriculum can be accessed in school and at home by following these instructions:

  • Click the Amplify Desmos Math button.
  • Select Log in with Amplify.
  • Enter your student’s username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, caregivers can view student work by opening previous assignments.

Learn how to navigate the student home page.

Materials overview

Amplify Desmos Math supports blended learning with supporting print materials and a unique digital experience. All K–5 lessons are available in a write-in Student Edition book. Many of the lessons include hands-on activities with manipulatives, tools that help students understand abstract concepts by making them tangible. Your student will also work with digital devices for an age-appropriate number of lessons.

When students use devices, teachers can monitor their work in real time, making sure they get the exact support that they need at every part of the lesson, in and outside of class.

Una interfaz digital que muestra los nombres anónimos de los estudiantes y su estado de participación en diversas actividades. La interfaz incluye opciones para realizar resúmenes, capturas de pantalla y vistas individuales de los estudiantes.

Components of a lesson

Students in an Amplify Desmos Math classroom can be seen (and heard!) asking questions, debating answers, justifying their thinking, grappling with problems, and working together and independently.

A typical Amplify Desmos Math lesson includes:

  • Warm-up: A short, attention-getting problem to pique students’ interest in the lesson.
  • Activities: One to two mini-activities that challenge students’ problem-solving skills.
  • Synthesis: Discussion to review and bring together the important concepts from the lesson.
  • Show What You Know and Reflection: Questions for students to show what they know from the lesson. (Note: The Show What You Know lesson assessment is optional for kindergarten and grade 1.)
  • Centers: Student-led activity stations that reinforce the math learned during lesson activities through interactive and often game-like formats. In kindergarten and grade 1, time for Centers is built into the last 15 minutes of every lesson.

To support, strengthen, and stretch students’ learning after the lesson, Amplify Desmos Math offers options for:

  • Differentiation: Mini-Lessons, Centers, Extensions, Boost Personalized Learning, and Fluency Practice.
  • Practice: Additional problems your student’s teacher may assign for classwork or homework.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. If your student has already completed the practice problems for the lesson, ask them to walk you through how they solved each problem, or talk about any parts that were challenging for them. Ask your student follow-up questions to encourage the use of math language as they explain their thinking, such as, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students are stuck, ask support questions, such as, “What information do you know here?” or “How could you represent this problem?”

Your student’s teacher may introduce a Center game with students in the lesson or beyond the lesson. These games are aligned to the math of the unit and can be played with students outside of class. Your student’s teacher may introduce a Center game to students during or after completing a lesson, or you may need to teach the game before you play by using easy-to-follow instructions. Sign up for a free account to explore Centers and additional K–5 content in our Featured Collections.

Each unit in Amplify Desmos Math begins with a read-aloud story to engage students and provide context for the math of the unit. Elements and characters from the Unit Story then appear in lessons throughout the unit.

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Relate math to daily activities at home, whether grocery shopping, preparing a meal, or planning for a trip to the store. Your student can help you figure out how many more apples there are than oranges in the grocery cart, show how to split a sandwich into fourths, or figure out how much change you’ll receive in exchange for a $10 bill. Encourage your student to point out ways that you use math in your daily tasks.

Remind your student that getting stuck is part of the process and a necessary—beneficial, even!—part of learning. Many students (and adults) fear making mistakes. But research shows that making mistakes helps our brains grow. When your student gets stuck on a problem, encourage them to keep trying different strategies, even if they’re not sure if they are right.

Get more information.

Have a question about Amplify Desmos Math? Visit our help library to search for articles with answers to your program questions. For additional support, please contact your student’s teacher.

Winter Wrap-Up 02: Mathematizing Children’s Literature

Promotional graphic for Math Teacher Lounge podcast, episode 2, featuring Allison Hintz and Antony Smith, discussing how mathematizing children's literature can build math fluency.

While we’re hard at work producing the exciting fifth season of Math Teacher Lounge: The Podcast, we’re continuing to share some of our favorite conversations from our first four seasons. This time around, we’re revisiting our popular episode that connected literacy and math!

In this episode, we sit down with Allison Hintz and Antony Smith, authors of Mathematizing Children’s Literature, to talk about what would happen if we were to approach children’s literature, and life, through a math lens–and how we can apply those same techniques to classroom teaching!

Explore more from Math Teacher Lounge by visiting our main page

Download Transcript

Bethany Lockhart Johnson (00:02):

Hi, I’m Bethany Lockhart Johnson.

Dan Meyer (00:04):

Hi, I’m Dan Meyer.

Bethany Lockhart Johnson (00:05):

And we are so excited for another episode of Math Teacher Lounge. And as you know, podcast format; you’re listening now. I think one beautiful thing about the podcast format is that it gives us a little bit more time to have these rich conversations. And I promise I won’t do it, but I could talk to our guests for hours, hours! Authors Allison Hintz and Tony Smith have just released Mathematizing Children’s Literature: Sparking Connections, Joy, and Wonder Through Read-Alouds and Discussion. And today we get to talk to the authors. Allison, Tony, welcome. Welcome to the lounge.

Allison Hintz (00:53):

Thank you. We’re so grateful to be here.

Bethany Lockhart Johnson (00:55):

We’re so excited to have you here. And I wanna say that my very first—was it my first math conference? Maybe it was my first math conference—up in Seattle, the CGI conference, and I’m all like, you know, wide-eyed and just like, “Can this be a place for me, this math community?” Re-envisioning my relationship with math and thinking about myself as a math teacher, what? And I went to your session on mathematizing children’s literature, and I was just so fired up. I was so wowed by your ideas, your energy, and your passion for students’ thinking. And I feel like as I read this book, I felt like I was hanging out with you. Like you were just so encouraging all the way through. Of educators, of other folks working with young people, and really guiding us how to listen with joy and with an open curious mind.

Dan Meyer (02:03):

Yeah. I would love to hear a bit about the genesis of this book for you folks. Like, I’m coming at this from a secondary educator lens. I’ve got small kids, so that’s also part of my interest here. But I love any book, any idea that seeks to merge what seems like two disparate worlds. Like it’s often the case that we feel like, well, there’s approaches for ELA and approaches for math, and they’re kind of separate disciplines. And these poor elementary teachers have to learn all of them and be experts at all of them. And here you both come along and say, “Hey, what if they are the same kind of technique?” Can you just speak to how this came about?

Allison Hintz (02:38):

Definitely. Tony, do you wanna take a try? Do you want me to start us off?

Antony Smith (02:42):

I can start. We oftentimes present and talk together and so we kinda switch back and forth. So that’s just how we are. So probably about eight or nine years ago, Allison and I, our offices were next to each other on our small campus. We’re both professors and we just happened to have a few children’s books that we looked at together and we were just thumbing through the pages. We really liked children’s literature. And we noticed that I would stop at certain points wondering about character motive or plot or sequence of events or language use. And Allison would stop at very different points in the book and notice number and concepts or something about mathematics. And that’s when we started to wonder, what would it be like if we were sharing a children’s book with a group of children and we put our ideas together? Where would we stop? What would we talk about? What would we ask children about in terms of their thinking and what they notice?

Allison Hintz (03:42):

And so we started playing with these questions that we had and started approaching stories with multiple lenses to see what kinds of things would children notice and what kinds of things might they say. And we were also on our own journey in trying to understand how to plan for and facilitate lively discussions and classrooms that surface really complex mathematics. And it felt like stories were a place where that might be a fruitful context for hearing children’s thinking. We’ve worked with a lot of teachers and students in our region. We live in the Seattle area and we’ve applied for some funding over time that’s really helped us be in a lot of community-based organizations and educational contexts and libraries and pediatricians’ offices and classrooms, various classrooms, and see what’s interesting about this and what might teachers and children do with stories that would surface complex mathematics to think about together.

Antony Smith (04:41):

Over time, we came to the realization that if we wanted to hear children’s ideas, we had to stop bombarding them with questions. <laugh> Yeah. And at first it made it worse that we were asking them math and literacy questions at the same time. And so we realized that what we needed to do was to back off and to ask children what they noticed and wondered.

Bethany Lockhart Johnson (05:01):

Can you say more about that and how that kind of evolved into mathematizing children’s literature?

Antony Smith (05:07):

We did work with a number of very thoughtful, talented classroom teachers and children’s librarians in public library systems who were just so masterful at asking open-ended prompts and questions, rather than kind of like the de facto reading quiz, that a read-aloud can become, which I’ve always disliked as a literacy educator. And we realized in our observing these read-alouds or interactive read-alouds or shared reading experiences that given the opportunity in the space and an adult who was actually listening, that children came up with all of the ideas we would have asked them about and more. So we didn’t have to be bombarding them with questions. They were already much more thoughtful than what would’ve been sufficient to answer our questions.

Allison Hintz (05:58):

And much like mathematics, it was really an iterative process. You know, we had some clunky read-aloud discussions where we were trying to accomplish so much and toggling multiple chart papers and different colored pens and all sorts of “how do we capture these ideas” and “do we separate ’em? do we keep ’em together?” And so it’s really been over time that with partners, we’ve learned these ways of having multiple reads of the same story that allow us to hear what children notice and wonder, and then to delve more deeply into their questions and their ideas through multiple reads where we might spotlight literary ideas that they notice; we might spotlight mathematical ideas that they notice. We might make purposeful integrations between those. But we found it to be most productive—and Kristin Gray really help us think about this—to have an open Notice and Wonder, get everything out much like an open-strategy share. We welcome here, record all the ideas, and it goes all over everywhere. You know, it can be a really not math-y noticing! And those are amazing! So there’s a lot of, um, yes, there is a ladybug on this page! The grandma is wearing green triangle earrings! Oh, your grandma wears green earrings! I mean, it all comes out.

Bethany Lockhart Johnson (07:27):

Wait, have you been in my classroom? ‘Cause that’s exactly— <laugh>

Allison Hintz (07:29):

<laugh> And then, you know, we think of it a lot like if math teachers might use the 5 Practices for selecting and sequencing, or if you might move from an open-strategy share to a targeted share, how can we get out all the questions that children are asking and then step back from them, take some time to really think about what they’re telling us they’re curious about, and plan some purposeful, intentional subsequent discussions that can delve more deeply into their ideas.

Dan Meyer (08:02):

I’d love to go into that a little bit more if that’s all right. Um, I’m gonna speak from someone who doesn’t have an elementary background and I’m gonna voice some worries that I had, some anxiety. One anxiety I have like in a classroom or a curriculum is when there’s no room for student ideas. Right? When it’s like, oh, there’s just room for the curriculum author or the teacher here. That is a sadness. But I when I see an instructional environment like you’re describing here, where there is openness to all kinds of different student ideas, of different levels of formality, from different kinds of cultural fonts of knowledge or wherever, I also get a little bit nervous because that, like, increases the risk that a student might come to understand that “my ideas are not good enough,” whereas in the class with no room for their ideas from their home or their language or their hobbies, like, they’re not gonna internalize the message that, “that wasn’t good enough.” And so I’m really curious as you move from the open Notice and Wonder where kids share all of themselves with you, and then you move to a targeted focus on some sort of disciplinary objective, how do you navigate that tension and help students feel like their contributions are valuable, even though we aren’t taking them up per se?

Allison Hintz (09:18):

That’s such an important question. I mean, I think we’ve grappled with this broadly in math education. I think any time we’re thinking about which ideas we choose to take up to pursue to consider, we have a responsibility to think carefully about whose ideas are being taken up and heard and considered. And so one of the tensions I hear you naming, I think, Dan, is when we engage in lively discussion where children’s thinking’s at the center, how do we make sure to upend and interrupt kinda status norms that run the risk of being deepened? Um, and I think by paying attention to whose ideas are taken up as much as which ideas are taken up, and what’s the mathematics we wanna explore is one tension. Um, another tension I might hear you naming is, you know, the complications that teachers face with time and pressure and coverage, and which mathematics ends up getting worked on. And, um, you know, it’s something we’ve really had to struggle with in mathematics education, where we move to more discussion-oriented classrooms that are really centered in sense-making to know that it takes a lot of time to do this thoughtful, thoughtful work. Um, does that begin to get at some of the tensions you’re raising? Is there, is there more you’re thinking about?

Dan Meyer (10:53):

I think it’s really helpful that you kind of broadened the scope of the question beyond your book to “this is an issue that we are, you know, really challenged by and focused on broadly in math education.” And, um, I appreciate you bringing the element in of whose idea—not just which idea is taken up, but whose idea is taken up—is an opportunity where, let’s say, multiple people raise an idea that is towards an objective the teacher has, they have the opportunity to disrupt certain kinds of status, like ideas about status, in that moment. From your perspective, like, are there techniques to say, I don’t know, parking-lot certain kinds of questions and say like, “Hey, like these are awesome”? I don’t know. I just know that I see kids at like ninth grade. They are very reticent, often. They’ve internalized totally this sense of like, “I’m not gonna just, like, share about the pants the grandma’s wearing, you know; that will not be received well.” And so I’m just kinda wondering how that happens and like, what are the ways we can disrupt that? That process?

Antony Smith (11:54):

So thinking about that, Dan, from the teacher’s perspective, in those kinds of scenarios where you wanna honor each child’s contribution, a couple of things that come to mind: One is that by, you know, initially by modeling what I as a teacher, something that I notice or wonder about, helps kind of set the expectation for what kind of response would be encouraged. And it’s broad, but it gives an example. And then also we really try to record or to chart all of the ideas that are shared so that we can revisit and honor those together. And then either later or on another day, if we choose one or two of those to explore in some way within a more focused read, then another thing that we do is have the idea investigation afterward that continues that thought, but goes back to being as open-ended as possible, so that those students or children who maybe didn’t have their idea as the one that was focused on by the group could go back to that or explore some other idea of their own, so that the idea investigation isn’t a lockstep extension activity, which is why we don’t call it that. So they could again bring in their own perspective. But I have to say from the teacher’s point of view, there is that moment of potential panic <laugh> because there is that power transfer when you’re asking children to help steer where this is going. And if you really mean it, you have to let them steer a little bit. And that can be terrifying. And, um, I always think of one teacher, Ashley, we worked with who read an adorable book, Stack the Cats, by Susie Ghahremani. And in that book, there’s a point where there are eight cats and they’re kind of trying to be a tower of cats and they fall and they’re sort of in the air on that page. And she asked her first graders—she stopped, and she asked, “How, do you think, how will the cats land?” And for about a minute and a half, the entire <laugh> class, was silent. They had their little papers; they had chart paper; they had clipboards; they had everything they needed. But that unusual phenomenon of a group of six- and seven-year-olds actually just sitting and thinking and not being peppered with activities was really stressful, but amazing. And then, after about the 90 seconds, they started out into their exploration of how the eight cats might land. They just needed a minute to think. And it’s so rare that we’re able to let children have that.

Allison Hintz (14:40):

In that same moment, Ashley, who’s a learning partner to us, she turned to us kind of quietly, like, “Should I pose a different question?” And <laugh>, we’re like, “No, let’s stick with it. Let’s see what happens.” So I think it creates this space too, this thinking culture, right? And this culture of “what does that mean to really pose a rich task?That’s open-ended, where there’s multiple access points?” Those eight cats could land in so many different ways. And there was broad access, there was a wide range of all the cats landing, and one’s on their feet, ’cause cats always land on their feet <laugh>, and there was every combination. And so, um, I think what’s really interesting—and to me, this brings back to your wonder, Dan—is, you know, “What’s the risk in openness?” And there’s always risk in openness. Um, it’s scary as a teacher, right? If I’m not the authority of knowledge and I don’t have control over where we’re gonna go, it might get into places that I didn’t anticipate. Or I don’t really feel as solid in the math as I want to. Or I don’t know what it sounds like to stick with silence and wait time, to know if my students are really in productive struggle or if that question was a flop. And so, um, I think this is some practice space for young mathematicians and teachers of mathematics, and just teachers, to explore with that openness and kind of the risk of the openness required for complex thinking to emerge.

Bethany Lockhart Johnson (16:12):

You know, it feels like the way you’re both describing this, it really is a culture shift, right? I kept feeling like I was given permission to be a beginner as I read this book. Like I was really…I loved how you said, I believe it was you, Allison, when you were in the class, you had a couple index card that you kept on your clipboard and that as you walked around, you were like, “Hey, if I don’t know what to ask, I ask one of these questions.” You know? And just this idea that, that, like Dan was saying, there is that loss of control, but that’s also a way to create this culture where students ideas are valued and we are allowing students to really generate the questions, which I thought was such an important idea to explore.

Allison Hintz (17:00):

We started this work long ago, super-excited about math-y books. And we saw a lot of potential in them and we still do. But the limitation we saw is that math-y books, they, they put forth a certain mathematics to be curious about. In some ways they tell you what mathematics to think about. So we started asking ourselves what would happen if we considered any story a chance to engage as mathematical sense-makers. And we started playing with non-math-y books and we got to a place where we could consider every story an opportunity to engage in mathematical thinking. And so we started noticing things over times, oh, these books tend to be really math-y. We call those text-dependent. We’d have to pay attention to the mathematics to understand the story. Whereas this pile of stories, these, they’re not overtly math-y. You could really enjoy the story and not pay attention to mathematics and have an amazing conversation. But what would happen if we thought of about this story as mathematical sense-makers and how might it deepen our understanding of the story? And then this other teetering pile of books, these are books where, you know, children didn’t tend to engage as overtly as mathematicians in it, but there’s opportunities in this story to go back to something—to a moment, to an illustration, to a comment—and think as mathematicians. And those were more about illustration exploring. And so, as we notice these different kinds of books, we really broaden what we thought about. And I think one of the things we really wanna think about in community through this book is what happens if we approach any story, every story, as mathematical sense-makers, because stories are alive in children’s lives, in homes and communities and in schools. And it’s a broad opportunity that we wanna take up. I was thinking, as I stay in this strait for just a moment about book selection, before we move into that process, um, Bethany in a previous MTL, you talked about representation.

Bethany Lockhart Johnson (19:12):

Mm, yeah.

Allison Hintz (19:14):

And do you remember when you shared the image of hair braiding?

Bethany Lockhart Johnson (19:19):

Yes. Vividly, yes. <laugh>.

Allison Hintz (19:22):

Yeah. And can you say just what that meant to you? What that….

Bethany Lockhart Johnson (19:27):

Yeah. Well, it was from a conference; Sunil Singh had used it and was talking about the artistry in mathematics and beauty in hair braiding. And, um, particularly, he was showing this particular image of this Black woman with her hair braided in profile and looking at the angles and the symmetry. And I shared that, you know, I spent so many hours in the beauty shop with my aunties and my mom and my grandma and continue to, to this day, that it just, it struck me immediately as familiar. And it struck me immediately as seeing an image that was reflective of my lived reality, projected as valuable and worthwhile for consideration in the world of mathematics. Which is not what I felt as a student of mathematics as a young adult or child. So it was this beautiful moment of, for me, the power of when we see images and we allow opportunities for re-envisioning what may be a common practice for that student, or may be something that they see every day.

Allison Hintz (20:44):

And in that same way, that image that was put up, we wanna think really carefully about representation in the stories that we select. And when we think of stories as mirrors or windows, we really wanna be mindful in story selection of whose stories are told and whose stories are heard. And when you said that you would sit down to listen to a story and you felt at ease or that you saw an image and you saw yourself that can be and should be something we really think carefully about when we select the stories that we select.

Dan Meyer (21:21):

It’s a wider path for representation of different kinds of people in literature, because people’s stories seem so much more present and towards the surface of their lives, versus, say, the abstractions and numbers and shapes in mathematics. It feels like more of a struggle to find ways to show people, hey, like you’re here, this, this place belongs to you. So in all these reasons, I think it’s really great you folks are using literature, which has this history of humanities, literally humanities, as a vehicle for mathematics. That seems pretty special here.

Antony Smith (21:56):

We both go to libraries and bookstores and look through books as often as we can, but also our partner, a children’s librarian, Mie-Mie Wu, helped us go through—when we would meet, she would bring three or four hundred books at a time.

Bethany Lockhart Johnson (22:13):

When you described her wheeling in the cart, oh, I wish I been in that room! <Laugh>

Antony Smith (22:18):

And the cart was, you know, probably three or four times bigger than she was sometimes. And we would go through hundreds of books and look at them and listen to her thoughts as a skilled librarian sharing with families, diverse families, and what catches the attention of a three-year-old sitting with her grandfather. And that was really a valuable, helpful experience. And it’s a partnership that continues. So in Last Stop on Market Street—and this is in the book; we talk about this, this children’s book quite a bit—in this story, CJ with his Nana, his grandmother, are riding the bus to the last stop on Market Street in San Francisco, to go, as we will find out, to help serve in a soup kitchen to help the community. And the teacher, Susan Hadreas, had the children record their ideas. She charted them in an open Notice and Wonder read. And one of the ideas that a young boy noticed was that CJ on the bus…a man with a guitar starts playing the guitar on the bus and CJ closes his eyes and it says CJ’s chest grew full. And he was lost in the sound and the sound gave him the feeling of magic. So this boy said, “I wonder, what does that feel like if you’re feeling the magic? What’s that?” And that was one of many ideas in the open Notice and Wonder, and Allison will talk about the math lens read, but first Susan went back and read with them. She had that idea, she circled it on the chart paper, and another day that week, she said, let’s go back and visit this story we really liked. And remember, we wondered what feeling the magic was like. Let’s go back through and let’s keep track of all the feelings and emotions that CJ had across the journey to the soup kitchen in this book. And so they did another read of the story; they were very familiar with it, of course, but they noticed new things and they also, every few pages, stopped and she helped chart all of the emotions that CJ experienced from envy to excitement to sadness. There’s a huge range in this book. And it was fascinating.

Allison Hintz (24:36):

I think one of the things that the children noticed was that CJ’s feelings were shaped by community. And that he shaped and shaped…he was shaped by and helped shape his community. And so the ways that he felt across the story were impacted by the other characters that he comes across. The guitar man on the bus. The bus driver who can pull a coin out from behind someone’s ear. The lady with the butterflies in the jar. Nana helping him to see the rainbow. And the students started, you know, being curious about that. How do we shape and how are we shaped by community? What communities are we a part of? This class is one community. I’m in many communities across my life. And they started to quantify the number of people in the story. So Mrs. Hedreas went back for a math lens read, and she said, let’s just keep track of and pay attention to how many people are in CJ’s life in this day. Because I can hear you starting to think about quantity. This class at the same time in other areas of the day had been working on counting collections, how to keep track, so they got out their tools. Some people pulled out ten frames, some people pulled out clipboards. They had a wide range of things they could use to help them keep track. They developed their own strategy, keep track however you want. She did a quicker read through it, flipping the pages, and then they get into these debates: <laugh> “We already counted that person!” “But they took their hat off and put it down to collect money!

Antony Smith (26:10):

“What about the dog?”

Allison Hintz (26:11):

“That’s the same person!” “Yeah, there’s a dog pound in his community!” <laugh> “Do animals count in our community?”

Bethany Lockhart Johnson (26:17):

I love it!

Allison Hintz (26:17):

“Yes, they count!” Uh, and so we went through and quantified and there was really this understanding as you saw these people throughout the story that communities can be of different sizes, but community has impact. And you have responsibility in your community to show up and to lean in and to know that bringing your full, authentic, vulnerable self, you shape people and they shape you. And what communities are people a part of. And it turned into this really interesting discussion about quantity and helped us think more about quantity and community. I think a really important moment for us and for that class was the transition from being people who almost did mathematics to a story, like counted things on a page, um, count acorns on a page in an autumn book, to being mathematicians who thought within the story.

Antony Smith (27:17):

And then two idea investigations that came from that —not at the same time, of course, but with the same group of children—one was they identified an emotion of their own and wrote and drew about that. And also, who helped them address or get out of or acknowledge that emotion. And then the other idea investigation was that all of the children drew or kind of mapped out a community that they were part of. Whether it was their neighborhood or their classroom or their soccer team or whatever it was. And so then those investigations strengthened the connections of those concepts to the lives of those children.

Bethany Lockhart Johnson (28:05):

Well, I, actually wanted to ask you about idea investigations. Because I feel like that was such an important invitation in your book. And the way I understood the idea investigation is you’re really paying attention to what’s coming up in your other reads. Right? And then these are opportunities to extend the thinking, or like you said, to extend a particular aspect: What’s your community? Can we map your community? Or what’s a particular emotion? And it was in such contrast to what I think I have probably done in my classroom more than once, which was like, “Oh, we read this story about seals. So now my story problem is gonna be about seals, right? <laugh> Like in the story, you know, Jojo, the seal had five balls. <laugh> So if Jojo still had five balls and two of them bounced away…” You know, or whatever. Right? But that’s not what an idea investigation is. Right?

Allison Hintz (29:03):

Yeah. I think this is where we also had some stumbles and can totally relate to what you’re saying as previous classroom teachers as well. We have come to a place where we are pretty in favor of a super open-ended idea investigation that takes up the things that have surfaced in the multiple reads and making sure it’s a rich task with many, many ways children can engage with that. There’s many, many, many right answers or ways to engage. Less is more there. So we moved way away from, like, even a worksheet that might have an idea from it to blank paper and math tools and places to get into some productive struggle around some of the complex things that were raised.

Antony Smith (29:59):

A challenge with worksheets is that they put a frame around children’s ideas. So either there are only three lines to write on, or there’s only a small box to draw in. Whereas a blank page really opens up the possibility. Um, and so—is it Ann Jonas who wrote Splash!? sorry, I don’t have it in front of me—the book Splash!, about animals that end up in and out of the pond, including a cat that is not happy about ending up in the pond, an idea investigation after that for very young children was, with the list of the different creatures displayed at the front of the room: On blank paper, hey, draw your own pond and decide how many of which and each type of animal you want in your pond and then write about it. Just on blank paper. And so that allowed some children to draw, like, three giant goldfish. But other children drew 17 frogs and three cats. And, and just, it lets children follow—

Bethany Lockhart Johnson (31:02):

It was theirs, right? It was theirs.

Antony Smith (31:04):

Their idea. <laugh> And that comes partly from, I think, as Allison mentioned, we both were classroom teachers before moving into academia. And I remember giving children worksheets, particularly math worksheets, where they weren’t necessarily bad, but right at the bottom, it says like, explain your strategy. And it gives two lines.

Bethany Lockhart Johnson (31:23):

Right! <laugh>

Antony Smith (31:25):

The only thing a seven-year-old can write there is “I thought.” Or “I solved it.” <laugh> And that’s not where we need to go.

Dan Meyer (31:34):

Yeah. If I could just ask the indulgence of the primary crowd here, like, I’m trying to make sense of all this. And I just wanna like, offer my perspective. My summary statement of what’s going on here. I’m trying to—I love how you both came here—

Bethany Lockhart Johnson (31:45):

<laughs> How ya doin’, Dan? How ya doin’?

Dan Meyer (31:47):

<laughs> I’m, ah, A, I’m loving this a lot. Um, B, I came in here loving how you folks are broadening the work of primary education to kind of find commonalities between these sometimes seemingly disparate kinds of teaching in ELA and math. Love that, I wanna say. But I think you folks are describing, with all these teachers you observed and your own work, is the work of attaching meaning to what students might not realize yet has meaning. Or they might think it only has one kind of meaning. But you, the teacher, with their knowledge, realizes that there are many more dimensions of meaning that can be attached to those thoughts. And I’m hearing that from you folks, when you describe A, what math is and the power of a teacher to name a thing as mathematical. Like, “Oh, you didn’t think math was that, but math is noticing; math is wondering; math is asking questions,” for one. But also this work you’re describing of how, like, first the task has to invite lots of student thoughts and then to say like, “Oh, I see that there’s a similarity to these two.” And to raise those up for a conversation or to ask a question like to extend one person’s, one student’s question a little bit more. But it’s always…I’m just hearing you folks attaching more meaning than the student might have originally thought. I appreciate the conversation. That’s really interesting.

Bethany Lockhart Johnson (33:03):

Well, and now that the book is out, I think it’s gonna keep evolving, right? Now that it’s gonna be in the hands of teachers and librarians and educators and caregivers, it’s exciting to see kind of where it goes next. Which actually brings us to our MTL challenge. Dan Meyer, do you wanna share?

Dan Meyer (33:22):

Math Teacher Lounge, we have a challenge for the folks who listen and we’d love for them to hop into the Facebook group Math Teacher Lounge, or hit us up on Twitter at @MTLShow and just, like, kind of exercise beyond listening, exercise the ideas you folks are talking about, some kind of a challenge that can help us dive deeper into your ideas. So what would you folks suggest for our crowd, for our listeners?

Allison Hintz (33:42):

I would love to invite people to playfully experiment with a favorite story, with a story that’s new to you. I would love to invite listeners to sit with a story maybe on your own, and just ask yourself as a mathematician: What do you notice and wonder in this story? Don’t feel any pressure. Maybe sit with a child or some children and listen to what they notice and wonder. Like, really listen! Don’t ask questions! But hear their questions and place children at the center and consider multiple reads. Consider continuing to pursue their questions. And we have a planning template that might support people in kind of sketching out some ideas if you’re open to playing with that too.

Bethany Lockhart Johnson (34:34):

And we will post—

Dan Meyer (34:36):

That’s awesome.

Bethany Lockhart Johnson (34:36):

—a link for that planning template in our Facebook group and on Twitter as well. So thank you so much for that resource, because I think it’ll definitely help. It could help you, like you said, it could help you kind of organize your thoughts or help you think about this work in a new way. So thank you for that resource and thank you for the amazing resource that is Mathematizing Children’s Literature. I am so excited to continue to engage with you both and with listeners as they dive into this book. If folks want to engage with you more, where can they find you? How can they reach you?

Allison Hintz (35:12):

Well, we’re on Twitter.

Bethany Lockhart Johnson (35:14):

Great.

Dan Meyer (35:15):

What’s your home address? <laugh>

Bethany Lockhart Johnson (35:24):

Wait, let me try that again. <laugh> ‘Cause it does sound like I’m like, <fake ominous voice> “Where can they find you?”

Allison Hintz (35:29):

4-2-5…. <laughs>

Antony Smith (35:32):

At the bookstore!

Bethany Lockhart Johnson (35:34):

Y’all, if folks want to continue this conversation or share these ideas or the math challenge, how can they tag you? How can they, they reach you on the World Wide Web, besides the Math Teacher Lounge Facebook group?

Antony Smith (35:50):

Yeah. Well, we are both on Twitter, and we’ve been trying to promote the hashtag #MathematizingChildrensLiterature. It’s very long, but once you type it once, your phone or computer…

Bethany Lockhart Johnson (36:01):

Easy. Yeah, those click, right? Is that what it is now?

Antony Smith (36:03):

<laugh> The other is that we do for our project, we have an Instagram account that is @MathematizeChildren’sLiterature.

Allison Hintz (36:11):

We care really deeply about hearing from people. You know, we think our ideas are constantly evolving and that there’s such exciting room to grow. And we just felt compelled to share what we were learning now so that together we could learn and build vibrant experiences for young children and teachers and families through stories. So we want to hear from people! We wanna learn about stories that are important in your lives and what children say, and grow these ideas together.

Bethany Lockhart Johnson (36:42):

And credit to Dan, you told me you went and ordered a bunch of the books they have on the suggested read list.

Dan Meyer (36:48):

Oh my gosh.

Bethany Lockhart Johnson (36:49):

You read ’em to your son.

Dan Meyer (36:50):

I got such a side-eye from my significant others around here for what I dropped on Amazon in one night! <laugh> Uh, all these books I didn’t have. Some of them I did. We are not fully illiterate around here! We do love the written word at the Meyer household! But there were a bunch that that I grabbed. I’m morseling them out day by day.

Bethany Lockhart Johnson (37:09):

Wait, at bedtime I read my one-year-old One Is a Snail, Ten Is a Crab. <laugh> And let me tell you, he had vigorous pointing and “Da? Da da da da?”

Allison Hintz (37:22):

<laugh> Aww, da da!

Bethany Lockhart Johnson (37:22):

So hey, we’re on the road. <laugh> <music> Deeply grateful, not only for your work and your beautiful book and your work, but also for the invitation to dive into the world of children’s literature in a way that many of us have not before. And it’s fun! Thank you, Tony. And thank you, Allison. And thanks for hanging out in the lounge.

Allison Hintz (37:48):

Thanks for having the lounge!

Antony Smith (37:49):

It’s been fun!

Allison Hintz (37:52):

Thank you both.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Allison Hintz says about math

“We started asking ourselves, “what would happen if we considered any story a chance to engage as mathematical sensemakers”.”

– Allison Hintz

Author and Associate Professor, University of Washington Bothell

Meet the guest

Allison B. Hintz: Dr. Hintz’s research and teaching are in the area of mathematics education. Her focus on mathematics came about during her years as a fifth grade teacher – it was alongside her students that she developed her own positive identity as a mathematician! Today she studies teaching and learning, specifically facilitating engaging discussion. Her research and teaching happen in partnership with educators and children in formal and informal settings and focuses on beliefs and practices that support all children in lively mathematics learning. She is a co-author, with Elham Kazemi, of Intentional Talk: How to Structure and Lead Productive Mathematical Discussions.

Twitter: @allisonhintz124

Antony T. Smith: Antony T. Smith is an associate professor of literacy education at the University of Washington, Bothell. He works alongside teachers to create engaging literacy-mathematics learning experiences through exploring and discussing children’s literature. He is committed to the concepts of motivation, engagement, challenge, and creativity in literacy teaching and learning.

 Twitter: @smithant  Instagram: mathematizechildrensliterature

Two people appear in separate circular frames; the woman is smiling and wearing headphones, while the man stands in front of bookshelves, perhaps discussing Mathematizing Children’s Literature.
Podcast cover for "Math Teacher Lounge" with Bethany Lockhart Johnson and Dan Meyer; bold text on orange and teal semicircle background.

About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

Welcome, Algebra 1 Reviewers!

We’re honored to introduce you to Amplify Desmos Math California. We’re confident you’ll find this comprehensive program to be a powerful tool for bringing the vision of the California Math Framework to life in classrooms across the state.

Please start with the video on the right to learn how to navigate the program and access key features referenced within our submission. Below you’ll find additional resources to support your review.

Your Review Samples

As a curriculum that incorporates both print and digital resources, it’s important that you explore both our physical materials (delivered to you in grade-specific tubs) and our digital materials (accessible through our platform). We invite you to explore both types of resources using the instructions and tips below.

Print Samples

Your print samples should have arrived in grade-specific tubs with a copy of your Reviewer Binder contained within the Algebra 1 shipping box. As you begin the process of organizing your materials, please refer to the inventory checklist found inside the tub as well as within your Reviewer Binder.

Digital Samples

In order to access your digital samples, you’ll need to log into our platform using your unique login credentials found on a Digital Access Flyer inside of your Reviewer Binder. Once you have located the flyer:

  • Click the orange button below to access the platform.
  • Click “Log in with Amplify.”
  • Enter the username and password provided on your Digital Access Flyer.

Navigation Tips

Below you will find helpful tips for navigating Amplify Desmos Math California. We recommend reading these pages alongside the program’s print materials and digital experience to gain a deeper understanding of the program. 

Click the links below to read about navigating program features including:

Built for California

The Amplify Desmos Math California program is designed around the vision articulated in the California Mathematics Framework to enable all California students to become powerful users of mathematics. Our program incorporates the latest research in student learning, meaning that we:

  • Focus on the Big Ideas: Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. Big Ideas, like standards, are not considered in isolation. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons.
  • Center on open and engaging tasks: Amplify Desmos Math California is grounded in engaging tasks meant to address students’ often-asked question: “Why am I learning this?”  Students are invited into learning with low-floor, high-ceiling tasks that provide an entry point for all. Open tasks in Amplify Desmos Math California provide the space for students to try on multiple strategies and represent their thinking in different ways, and allow student explanation and discussion to serve as the center of the classroom. All lessons offer both print and digital representations of lessons.
  • Provide enhanced digital experiences: Amplify Desmos Math California includes digitally-enhanced lesson activities, incorporating interactive digital tools alongside print materials. These purposefully-placed resources allow students to visualize mathematical concepts, receive actionable feedback while practicing, encounter personalized learning support from an onscreen tutor, and engage in discussions about their thinking and approaches.
  • Treat core instruction and differentiation as integral partners: The Amplify Desmos Math California curriculum provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level content without reducing the mathematical demand of tasks. Every activity has multiple entry points to ensure that all students are supported and challenged. Intervention and personalized learning activities are directly connected to lesson content and offer students the individualized support as they dive into the mathematics.

Category 1: Mathematics Content/Alignment with the Standards

Standards Map

Linked here is the Standards Map for Amplify Desmos Math California for Algebra 1.

Evaluation Criteria Map

Linked here is the Evaluation Criteria Map Algebra 1. Please note that you will need to be logged into the digital platform to access the links in the Evaluation Criteria Map.

Standards for Mathematical Practice

Linked here is the alignment of Amplify Desmos Math California to the Standards for Mathematical Practice at Algebra 1.

Drivers of Investigation and Content Connections

Amplify Desmos Math California incorporates the Drivers of Investigation (DIs) and Content Connection (CCs) throughout the program. Throughout the year, students engage with open and authentic tasks of varying durations — from lesson activities to unit-level Explore lessons and longer course-level Investigations. Every lesson and investigation opportunity is grounded around the why, how, and what of the learning experience, and helps teachers bring mathematical concepts to life.

A three-column chart details: Drivers of Investigation, Standards for Mathematical Practice, and Content Connections, each with their respective codes and brief descriptions.

California English Language Development Standards

Linked here is the alignment of Amplify Desmos Math California to the California English Language Development Standards for Algebra 1.

California Environmental Principles and Concepts

Select lessons, performance tasks, and investigations across grade levels in Amplify Desmos Math California are aligned to one or more of the California Environmental Principles and Concepts. Click this link to view how the California Environmental Principles and Concepts are represented in Amplify Desmos Math California Algebra 1.

Category 2: Program Organization

Amplify Desmos Math California thoughtfully combines conceptual understanding, procedural fluency, and application. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals.

Big Ideas

Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. Big Ideas, like standards, are not considered in isolation. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons. Please refer to Keeping the Big Ideas at the Center, linked here, for the Amplify Desmos Math California Algebra 1 lesson design and alignment to the Big Ideas.

Program Structure

Amplify Desmos Math California combines the best of problem-based lessons, intervention, personalized practice, and assessments into a coherent and engaging experience for both students and teachers.

A diagram showing three stages: Core instruction, Integrated personalized learning, and Embedded intervention, under Screening and progress monitoring with daily tiered support.

Lessons and units in Amplify Desmos Math California are designed around a Proficiency Progression, a model that steps out problem-based learning by systematically building students’ curiosity into lasting grade-level understanding.

Five steps for learning: 1. Activate prior knowledge, 2. Collaborate, 3. Refine ideas, 4. Guide to understanding, 5. Practice and extend for lasting understanding.

In the Proficiency Progression, lessons begin by activating students’ natural curiosity and offering opportunities to generate new ideas through collaboration. Teachers are then able to refine ideas through intentional facilitation and guide students to grade-level understanding, while students retain the ability to use different strategies and methods to show their comprehension of the content. Students are provided ample opportunities to develop lasting understanding.

Scope and Sequence

Below you can view the scope and sequence for Amplify Desmos Math California Algebra 1. 

A chart showing Algebra 1 units across two volumes, detailing instructional days, assessment days, and optional days for each unit, totaling 180 days plus 40 optional days.

Lesson Design and Structure

A four-part diagram shows: Warm-Up, Activities with a graph of student ideas to grade-level understanding, Synthesis with notes, and Practice and differentiation with students building a structure.

Amplify Desmos Math California is designed with a structured approach to problem-based learning that systematically builds on students’ curiosity and allows students to grapple with the Big Ideas of the California Framework. Every lesson activity is organized into a Launch, Monitor, Connect format.

Launch: The launch is a short, whole-class conversation that creates a need or excitement, provides clarity, or helps students connect their prior knowledge or personal experience, which ensures that everyone has access to the upcoming work.  

Monitor: As students work individually, in pairs, or in groups, teachers explore student thinking, ask questions, and provide support to help move the conversations closer to the intended math learning goal. 

Connect: Teachers connect students’ ideas to the key learning goals of the lesson, facilitating class discussions that help synthesize and solidify the Big Ideas 

Each lesson within Amplify Desmos Math California follows the same structure. 

Warm-Up: Every Amplify Desmos Math California lesson begins with a whole class Warm-Up. Warm-Ups are an invitational Instructional Routine intended to provide a social moment at the start of the lesson in which every student has an opportunity to contribute. Warm-Ups may build fluency or highlight a strategy that may be helpful in the current lesson or act as an invitation into the math of the lesson.

Lesson Activities: Each lesson includes one or two activities. These activities are the heart of each lesson. Students notice, wonder, explore, calculate, predict, measure, explain their thinking, use math to settle disputes, create challenges for their classmates, and more. Guidance is provided to help teachers launch, monitor, and connect student thinking over the course of the activity.

Synthesis and Show What You Know: The Synthesis is an opportunity for the teacher and students to pull all the learning of the lesson together into a lesson takeaway. Students engage in a facilitated discussion to consolidate and refine their ideas about the learning goals, and the teacher synthesizes students’ learning. Show What You Know is a daily assessment opportunity for students to show what they know about the learning goals and what they are still learning.

Practice and Differentiation: Daily practice problems for the day’s lesson are included both online and in the print Student Edition, including fluency, test practice, and spiral review.

Flowchart showing classroom activity timing: Warm-Up (5 min), Lesson Activities (30 min), Synthesis and Show What You Know (10 min), Practice and Differentiation (time varies).

Routines

Amplify Desmos Math California features a variety of lesson routines. Instructional routines and Math Language Routines (MLRs) are used within lessons to highlight student-developed language and ideas, cultivate conversation, support mathematical sense-making, and promote meta-cognition. Both are called out at point-of-use within the Teacher Edition and Teacher Presentation Screens. Below are the types of routines used throughout the Amplify Desmos Math California curriculum:

  • MLR1: Stronger and Clearer Each Time
  • MLR2: Collect and Display
  • MLR3: Critique, Correct, Clarify
  • MLR5: Co-Craft Questions
  • MLR6: Three Reads
  • MLR7: Compare and Connect
  • MLR 8: Discussion Supports
  • Decide and Defend
  • Notice and Wonder
  • Number Talk
  • Tell a Story
  • Think-Pair-Share
  • Which One Doesn’t Belong?

Category 3: Assessments

A variety of performance data in Amplify Desmos Math California provides evidence of student learning, while helping students bolster their skills and understanding.

Unit-Level Assessment

Amplify Desmos Math California has embedded unit assessments that offer key insights into students’ conceptual understanding of math. These assessments provide regular, actionable information about how students are thinking about and processing math, with both auto-scoring and in-depth rubrics that help teachers anticipate and respond to students’ learning needs.

Pre-Unit Check: Each unit begins with a formative assessment designed to identify the student skills that will be particularly relevant to the upcoming unit. This check is agnostic to the standards covered in the following unit and serves not as a deficit-based acknowledgment of what students do not know, but rather as an affirmation of the knowledge and skills with which students come in.

End-of-Unit Assessment: Students engage with rigorous grade-level mathematics through a variety of formats and tasks in the summative End-of-Unit Assessment. A combination of auto-scored (when completed digitally) and rubric-scored items provides deep insights into student thinking. All Amplify Desmos Math California End-of-Unit Assessments include two forms.

Sub-Unit Quizzes: Sub-Unit Quizzes are formative assessments embedded regularly in Algebra 1. In these checks, students are assessed on a subset of conceptual understandings from the unit, with rubrics that help illuminate students’ current understanding and provide guidance for responding to student thinking.

Performance Tasks: At the end of each unit there is a summative assessment performance task provided to evaluate students’ proficiency with the concepts and skills addressed in the unit. 

Lesson-Level Assessments

Amplify Desmos Math California lessons include daily moments of assessment to provide valuable evidence of learning for both the teacher and student. Beyond formative, summative, and benchmark assessments, students also have opportunities for self-reflection with Watch Your Knowledge Grow. Students take ownership of their learning by reflecting and tracking their progress before and after each unit.

Show What You Know: Each lesson has a daily formative assessment focused on one of the key concepts in the lesson. Show What You Know moments are carefully designed to minimize completion time for students while maximizing daily teacher insights to attend to student needs during the following class. 

Responsive Feedback™: Teachers have the ability to see and provide in-the-moment feedback as students progress through a digital lesson. Responsive Feedback motivates students and engages them in the learning process.

Diagnostic Assessment

Every grade level features an asset-based diagnostic assessment designed to be administered at the beginning of the year.  Delivered digitally and to the whole class, our diagnostic assessment is uniquely designed to reveal underlying math thinking and identify what students know about grade-level math. With data beyond just right and wrong, teachers have the type of deeper level of insights need to take the right next step.

CAASPP-Aligned Assessment Preparation

Amplify Desmos Math is designed to support students’ mathematical development through problem-based learning, differentiation, and embedded assessments. The program’s emphasis on conceptual understanding, procedural fluency, and application aligns with the mathematical practices and content standards assessed by the CAASPP.

Amplify Desmos Math California includes a CAASPP-aligned Item Bank. This standards-aligned bank of questions allows teachers to filter and search by grade and standard to find items. Once assigned on the digital platform, students will experience CAASPP-like practice with the online digital tools.

Data and Reporting

Amplify Desmos Math California provides teachers and administrators with unified reporting and insights so that educators have visibility into what students know about grade-level math—and can plan instruction accordingly for the whole class, small groups, and individual students. Reporting functionality integrates unit assessments, lesson assessments, diagnostic data and progress monitoring for a comprehensive look at student learning. Program reports show proficiency and growth by domain, cluster, standard, and priority concept using performance data from unit assessments, then highlight areas of potential student need to allow teachers to modify their instruction and target differentiated support.

Administrator reporting provides a complete picture of student, class, and district performance, allowing administrators to implement instructional and intervention plans.

Category 4: Access and Equity

The Amplify Desmos Math California curriculum provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level content without reducing the mathematical demand of tasks. Our lessons are developed using the Universal Design for Learning (UDL) framework to proactively ensure that all learners can access and participate in meaningful, challenging learning opportunities.

Every activity has multiple entry points to ensure that all students are supported and challenged. Intervention and personalized learning activities are directly connected to the day’s content and offer students the individualized supports they need to be successful.

Each lesson and unit contains guidance for teachers on how to identify students who may need support, students who need to keep strengthening their understanding, and students who may be ready to stretch their learning. In addition, teachers are provided with recommendations for resources to use with each group of students.

Universal Design for Learning

Each lesson in the program incorporates opportunities for engagement, representation, action, and expression based on the guidelines of Universal Design for Learning (UDL).

  • Multiple Means of Engagement: Students engage in both print and digital learning, and are regularly participating in discussions and hands-on activities. Students are invited to build their own challenge for other students to solve, which provides opportunities for choice and autonomy, as well as joy and play.
  • Multiple Means of Representation: Students are encouraged to demonstrate their learning using mathematical representations, both print and digital, and regularly engage with their peers in analyzing multiple possible solutions. Classes engage in open-ended discussions about what individual students notice and wonder about mathematical concepts.
  • Multiple Means of Action and Expression: Learners differ in how they navigate learning environments and express what they know. Students can communicate their ideas in multiple ways, including in print, sketching, uploading photos, or recording an audio response.

Accessibility

Every lesson includes at least one specific suggestion the teacher can use to increase access to the lesson without reducing the mathematical demand of the tasks. These suggestions address the following areas:

  • Conceptual Processing
  • Visual-Spatial Processing
  • Executive Functioning
  • Memory and Attention
  • Fine Motor Skills

Students have the ability to control accessibility tools so that each learning experience is customized to their individual needs. In many instances, these tools can be turned on or off at any point of instruction.

  • Text to speech: Reads text instructions to students in multiple languages
  • Enlarged font: Increases the size of all text on screen
  • Braille mode: Includes narration of digital interactions
  • Language selection: Toggles between languages

Differentiation: In-Lesson Teacher Moves

Within every lesson activity, teachers can use the suggestions in the Differentiation Teacher Moves table to provide in-the-moment instructional support while students are engaged in the work of the lesson. This table can help teachers anticipate the ways students may approach the activity, and provides prompts that they can use during the lesson to Support, Strengthen, and Stretch individual students in their thinking. Teachers are provided with clear student actions and understanding to look for, each matched with immediately usable suggestions for how to respond to the student thinking illustrated in each row of the table. In addition to using these suggestions in the moment as teachers monitor student work, teachers can review the Differentiation table in advance to help them anticipate how students are likely to approach the activity.

A chart outlines three differentiation strategies—Support, Strengthen, and Stretch—with specific actions for each. A Math Language Development box is shown at the bottom.

Differentiation: Beyond the Lesson

Teachers are provided with recommendations for resources to use with each group of students needing support, strengthening, and stretching after each lesson. Support, Strengthen, and Stretch resources include:

  • Mini-Lessons: 15-minute, small-group direct instruction lessons targeted to a specific concept or skill
  • Item Banks: Space for teachers to create practice and assessments by using filters and searching for standards, summative-style items, and more
  • Fluency Practice: Adaptive, personalized practice built out for basic operations and more
  • Extensions: Lesson-embedded Teacher Moves including possible stretch questions and activities for students
  • Lesson Practice: Additional practice problems support every lesson
  • Math Adventures: Strategy-based math games where students engage with math concepts and practice skills in a fun digital environment
  • Lesson Summary Support: Support for students and caregivers that provides efficient explanation of the learning goal with clear examples

Math Identity and Community

The Math Identity and Community feature supports teachers in helping students build confidence in their own mathematical thinking, develop skills to work with and learn from others when doing math, and learn how math is an interwoven part of their broader community. The embedded prompts throughout the lessons are designed to highlight what it means to be good at math, the value of sharing ideas, and the power of flexible and creating thinking. Here are some examples of the Math Identity and Community supports embedded in each lesson:

  • I can be all of me in math class. You will work with partners every day in math class. What do you want your partners to know about you? 
  • We are a math community. What does good listening look like and sound like in a math community? 
  • I am a doer of math. What math strengths did you use today?

Math Language Development

Every lesson in Amplify Desmos Math California includes opportunities for all students to develop mathematical language as they experience the content. Amplify Desmos Math California purposefully progresses language development from lesson to lesson and across units by supporting students in making their arguments and explanations stronger, clearer, and more precise. This systematic approach to the development of math language can be broken down into the following four categories of support:

  • Vocabulary: Units and lessons start by surfacing students’ language for new concepts, then building connections between their language and the new vocabulary for that unit. This honors the language assets that students bring into their learning.
  • Language Goals: Language goals attend to the mathematics students are learning, and are written through the lens of one or more of four language modalities: reading, writing, speaking, and listening.
  • Math Language Routines: Math Language Routines are used within lessons to highlight student-developed language and ideas, cultivate conversation, support mathematical sense-making, and promote meta-cognition.
  • Multilingual/English Learner Supports: Supports for multilingual/English learners (ML/ELs) are called out at intentional points within each lesson. These specific, targeted suggestions support ML/ELs with modifications that increase access to a task, or through development of contextual or mathematical language (both of which can be supportive of all learners). 

Multilingual and English Learner Supports

Amplify partnered with the English Learner Success Forum (ELSF), a national nonprofit organization that advocates for high-quality instructional materials that are inclusive of multilingual learners. ELSF reviewed Amplify Desmos Math California, and provided directional guidance and feedback to ensure that the program reflects their research-based instructional strategies for multilingual/English learners.

Our Math Language Development Resources book contains lesson-specific strategies and activities for all levels of English Learners (i.e., Emerging, Expanding, Bridging). With support for every lesson, teachers are empowered to help all students, regardless of their language skills, to participate fully, grasp the material, and excel in their mathematical journey.

Amplify Desmos Math California includes a digital glossary for languages other than Spanish. Translations will be provided for up to nine languages.

Amplify Desmos Math California will include Spanish student-facing materials beginning in the 2026–27 school year.

Category 5: Instructional Planning and Support

Amplify Desmos Math California includes a variety of embedded instructional supports to empower teachers to lead effectively and gain actionable insights into student growth and progress. Teachers are equipped with a comprehensive set of resources designed to fulfill the requirements of Category 5.

Within the Teacher Edition front matter:

  • Scope and sequence
  • Big Ideas, Drivers of Investigation, and Content Connections
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

Within each Unit and Sub-Unit Overview:

  • Big Ideas, Drivers of Investigation, and Content Connections
  • Math that Matters Most
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

Within each Lesson:

  • Big Ideas, Drivers of Investigation, and Content Connections
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

At the course level (within the Teacher Edition front matter):

  • Navigating the Program (both print and digital)
  • Facilitating Lesson Activities with Launch, Monitor and Connect
  • Overview of the Digital Facilitation Tools

At the lesson level:

  • Suggestions for timing
  • What materials to prep
  • How to organize and group students 
  • Key lesson takeaways with the Synthesis
  • Recommendations for Differentiation
  • Strategies for intervention and extensions (in the Intervention, Extensions, and Investigation Resources book)

At the activity level:

  • Differentiation recommendations
  • Accessibility tips
  • ML / EL tips
  • Teacher look-fors
  • Recommended Teacher Moves
  • Prompts for guiding student thinking 
  • Sample student responses

A variety of language development supports are provided within the Student and Teacher Editions and Math Language Development Resources book. 

At the lesson level:

  • Diagrams and visuals
  • Sentence frames and word banks
  • Graphic organizers, including Frayer models
  • Vocabulary routines
  • Embedded language supports aligned to the CA ELDs
  • Lesson-specific strategies for Emerging, Expanding, and Bridging

At the unit level: 

  • Words With Multiple Meanings
  • Contextual vocabulary

At the course level:

  • English/Spanish cognates
  • Multilingual Glossary 

Other Curriculum Guidance

  • Additional Practice Resources book
  • Assessment Resources book 
  • Assess and Respond guidance paired with each assessment opportunity
  • Show-What-You-Know activities
  • Answer keys and rubrics 
  • Performance tasks

Welcome, Math 1 Reviewers!

We’re honored to introduce you to Amplify Desmos Math California. We’re confident you’ll find this comprehensive program to be a powerful tool for bringing the vision of the California Math Framework to life in classrooms across the state.

Please start with the video on the right to learn how to navigate the program and access key features referenced within our submission. Below you’ll find additional resources to support your review.

Your Review Samples

As a curriculum that incorporates both print and digital resources, it’s important that you explore both our physical materials (delivered to you in grade-specific tubs) and our digital materials (accessible through our platform). We invite you to explore both types of resources using the instructions and tips below.

Print Samples

Your print samples should have arrived in grade-specific tubs with a copy of your Reviewer Binder contained within the Math 1 shipping box. As you begin the process of organizing your materials, please refer to the inventory checklist found inside the tub as well as within your Reviewer Binder.

Digital Samples

  • In order to access your digital samples, you’ll need to log into our platform using your unique login credentials found on a Digital Access Flyer inside of your Reviewer Binder. Once you have located the flyer:
    • Click the orange button below to access the platform.
    • Click “Log in with Amplify.”
    • Enter the username and password provided on your Digital Access Flyer.

Navigation Tips

Below you will find helpful tips for navigating Amplify Desmos Math California. We recommend reading these pages alongside the program’s print materials and digital experience to gain a deeper understanding of the program. 

Click the links below to read about navigating program features including:

Built for California

The Amplify Desmos Math California program is designed around the vision articulated in the California Mathematics Framework to enable all California students to become powerful users of mathematics. Our program incorporates the latest research in student learning, meaning that we:

  • Focus on the Big Ideas: Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. Big Ideas, like standards, are not considered in isolation. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons.
  • Center on open and engaging tasks: Amplify Desmos Math California is grounded in engaging tasks meant to address students’ often-asked question: “Why am I learning this?”  Students are invited into learning with low-floor, high-ceiling tasks that provide an entry point for all. Open tasks in Amplify Desmos Math California provide the space for students to try on multiple strategies and represent their thinking in different ways, and allow student explanation and discussion to serve as the center of the classroom. All lessons offer both print and digital representations of lessons.
  • Provide enhanced digital experiences: Amplify Desmos Math California includes digitally-enhanced lesson activities, incorporating interactive digital tools alongside print materials. These purposefully-placed resources allow students to visualize mathematical concepts, receive actionable feedback while practicing, encounter personalized learning support from an onscreen tutor, and engage in discussions about their thinking and approaches.
  • Treat core instruction and differentiation as integral partners: The Amplify Desmos Math California curriculum provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level content without reducing the mathematical demand of tasks. Every activity has multiple entry points to ensure that all students are supported and challenged. Intervention and personalized learning activities are directly connected to lesson content and offer students the individualized support as they dive into the mathematics.

Category 1: Mathematics Content/Alignment with the Standards

Standards Map

Linked here is the Standards Map for Amplify for Math 1.

Evaluation Criteria Map

Linked here is the Evaluation Criteria Map for Math 1. Please note that you will need to be logged into the digital platform to access the links in the Evaluation Criteria Map.

Standards of Mathematical Practice

Linked here is the alignment of Amplify Desmos Math California to the Standards for Mathematical Practice at Math 1.

Drivers of Investigation and Content Connections

Amplify Desmos Math California incorporates the Drivers of Investigation (DIs) and Content Connection (CCs) throughout the program. Throughout the year, students engage with open and authentic tasks of varying durations — from lesson activities to unit-level Explore lessons and longer course-level Investigations. Every lesson and investigation opportunity is grounded around the why, how, and what of the learning experience, and helps teachers bring mathematical concepts to life. 

A chart with three columns: Drivers of Investigation, Standards for Mathematical Practice, and Content Connections. Each column lists related activities and skills.

California English Language Development Standards

Linked here is the alignment of Amplify Desmos Math California to the California English Language Development Standards for Math 1.

California Environmental Principles and Concepts

Select lessons, performance tasks, and investigations across grade levels in Amplify Desmos Math California are aligned to one or more of the California Environmental Principles and Concepts. Click this link to view how the California Environmental Principles and Concepts are represented in Amplify Desmos Math California Math 1.

Category 2: Program Organization

Amplify Desmos Math California thoughtfully combines conceptual understanding, procedural fluency, and application. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals.

Big Ideas

Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. Big Ideas, like standards, are not considered in isolation. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons. Please refer to Keeping the Big Ideas at the Center, linked here, for the Amplify Desmos Math California Math 1 lesson design and alignment to the Big Ideas.

Program Structure

Amplify Desmos Math combines the best of problem-based lessons, intervention, personalized practice, and assessments into a coherent and engaging experience for both students and teachers.

A flowchart diagram showing "Screening and progress monitoring" linked to three phases: Core instruction, Integrated personalized learning, and Embedded Intervention, with daily support noted.

Lessons and units in Amplify Desmos Math California are designed around a Proficiency Progression, a model that steps out problem-based learning by systematically building students’ curiosity into lasting grade-level understanding.

Five steps for learning: 1. Activate prior knowledge, 2. Collaborate, 3. Refine ideas, 4. Guide to understanding, 5. Practice and extend for lasting understanding.

In the Proficiency Progression, lessons begin by activating students’ natural curiosity and offering opportunities to generate new ideas through collaboration. Teachers are then able to refine ideas through intentional facilitation and guide students to grade-level understanding, while students retain the ability to use different strategies and methods to show their comprehension of the content. Students are provided ample opportunities to develop lasting understanding.

Scope and Sequence

Below you can view the scope and sequence for Amplify Desmos Math California Math 1. 

Mathematics I syllabus: Unit 1 to Unit 7 across two volumes, covering various math topics with instructional, assessment, and optional days detailed for each unit.

Lesson Design and Structure

Infographic showing a learning process: Warm-Up, Activities, Synthesis, and Reinforcement. Activities aim to increase student understanding over time.

Amplify Desmos Math California is designed with a structured approach to problem-based learning that systematically builds on students’ curiosity and allows students to grapple with the Big Ideas of the California Framework. Every lesson activity is organized into a Launch, Monitor, Connect format.

Launch: The launch is a short, whole-class conversation that creates a need or excitement, provides clarity, or helps students connect their prior knowledge or personal experience, which ensures that everyone has access to the upcoming work.  

Monitor: As students work individually, in pairs, or in groups, teachers explore student thinking, ask questions, and provide support to help move the conversations closer to the intended math learning goal. 

Connect: Teachers connect students’ ideas to the key learning goals of the lesson, facilitating class discussions that help synthesize and solidify the Big Ideas 

Each lesson within Amplify Desmos Math California follows the same structure. 

Warm-Up: Every Amplify Desmos Math California lesson begins with a whole class Warm-Up. Warm-Ups are an invitational Instructional Routine intended to provide a social moment at the start of the lesson in which every student has an opportunity to contribute. Warm-Ups may build fluency or highlight a strategy that may be helpful in the current lesson or act as an invitation into the math of the lesson.

Lesson Activities: Each lesson includes one or two activities. These activities are the heart of each lesson. Students notice, wonder, explore, calculate, predict, measure, explain their thinking, use math to settle disputes, create challenges for their classmates, and more. Guidance is provided to help teachers launch, monitor, and connect student thinking over the course of the activity.

Synthesis and Show What You Know: The Synthesis is an opportunity for the teacher and students to pull all the learning of the lesson together into a lesson takeaway. Students engage in a facilitated discussion to consolidate and refine their ideas about the learning goals, and the teacher synthesizes students’ learning. Show What You Know is a daily assessment opportunity for students to show what they know about the learning goals and what they are still learning.

Practice and Differentiation: Daily practice problems for the day’s lesson are included both online and in the print Student Edition, including fluency, test practice, and spiral review.

Flowchart showing classroom activity timing: Warm-Up (5 min), Lesson Activities (30 min), Synthesis and Show What You Know (10 min), Practice and Differentiation (time varies).

Routines

Amplify Desmos Math California features a variety of lesson routines. Instructional routines and Math Language Routines (MLRs) are used within lessons to highlight student-developed language and ideas, cultivate conversation, support mathematical sense-making, and promote meta-cognition. Both are called out at point-of-use within the Teacher Edition and Teacher Presentation Screens. Below are the types of routines used throughout the Amplify Desmos Math California curriculum:

  • MLR1: Stronger and Clearer Each Time
  • MLR2: Collect and Display
  • MLR3: Critique, Correct, Clarify
  • MLR5: Co-Craft Questions
  • MLR6: Three Reads
  • MLR7: Compare and Connect
  • MLR 8: Discussion Supports
  • Decide and Defend
  • Notice and Wonder
  • Number Talk
  • Tell a Story
  • Think-Pair-Share
  • Which One Doesn’t Belong?

Category 3: Assessments

A variety of performance data in Amplify Desmos Math California provides evidence of student learning, while helping students bolster their skills and understanding.

Unit-Level Assessment

Amplify Desmos Math California has embedded unit assessments that offer key insights into students’ conceptual understanding of math. These assessments provide regular, actionable information about how students are thinking about and processing math, with both auto-scoring and in-depth rubrics that help teachers anticipate and respond to students’ learning needs.

Pre-Unit Check: Each unit begins with a formative assessment designed to identify the student skills that will be particularly relevant to the upcoming unit. This check is agnostic to the standards covered in the following unit and serves not as a deficit-based acknowledgment of what students do not know, but rather as an affirmation of the knowledge and skills with which students come in.

End-of-Unit Assessment: Students engage with rigorous grade-level mathematics through a variety of formats and tasks in the summative End-of-Unit Assessment. A combination of auto-scored (when completed digitally) and rubric-scored items provides deep insights into student thinking. All Amplify Desmos Math California End-of-Unit Assessments include two forms.

Sub-Unit Quizzes: Sub-Unit Quizzes are formative assessments embedded regularly in Math 1. In these checks, students are assessed on a subset of conceptual understandings from the unit, with rubrics that help illuminate students’ current understanding and provide guidance for responding to student thinking.

Performance Tasks: At the end of each unit there is a summative assessment performance task provided to evaluate students’ proficiency with the concepts and skills addressed in the unit. 

Lesson-Level Assessments

Amplify Desmos Math California lessons include daily moments of assessment to provide valuable evidence of learning for both the teacher and student. Beyond formative, summative, and benchmark assessments, students also have opportunities for self-reflection with Watch Your Knowledge Grow. Students take ownership of their learning by reflecting and tracking their progress before and after each unit.

Show What You Know: Each lesson has a daily formative assessment focused on one of the key concepts in the lesson. Show What You Know moments are carefully designed to minimize completion time for students while maximizing daily teacher insights to attend to student needs during the following class. 

Responsive Feedback™: Teachers have the ability to see and provide in-the-moment feedback as students progress through a digital lesson. Responsive Feedback motivates students and engages them in the learning process.

Diagnostic Assessment

Every grade level features an asset-based diagnostic assessment designed to be administered at the beginning of the year.  Delivered digitally and to the whole class, our diagnostic assessment is uniquely designed to reveal underlying math thinking and identify what students know about grade-level math. With data beyond just right and wrong, teachers have the type of deeper level of insights need to take the right next step.

CAASPP-Aligned Assessment Preparation

Amplify Desmos Math is designed to support students’ mathematical development through problem-based learning, differentiation, and embedded assessments. The program’s emphasis on conceptual understanding, procedural fluency, and application aligns with the mathematical practices and content standards assessed by the CAASPP.

Amplify Desmos Math California includes a CAASPP-aligned Item Bank. This standards-aligned bank of questions allows teachers to filter and search by grade and standard to find items. Once assigned on the digital platform, students will experience CAASPP-like practice with the online digital tools.

Data and Reporting

Amplify Desmos Math California provides teachers and administrators with unified reporting and insights so that educators have visibility into what students know about grade-level math—and can plan instruction accordingly for the whole class, small groups, and individual students. Reporting functionality integrates unit assessments, lesson assessments, diagnostic data, and progress monitoring for a comprehensive look at student learning. Program reports show proficiency and growth by domain, cluster, standard, and priority concept using performance data from unit assessments, then highlight areas of potential student need to allow teachers to modify their instruction and target differentiated support.

Administrator reporting provides a complete picture of student, class, and district performance, allowing administrators to implement instructional and intervention plans.

Category 4: Access and Equity

The Amplify Desmos Math California curriculum provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level content without reducing the mathematical demand of tasks. Our lessons are developed using the Universal Design for Learning (UDL) framework to proactively ensure that all learners can access and participate in meaningful, challenging learning opportunities.

Every activity has multiple entry points to ensure that all students are supported and challenged. Intervention and personalized learning activities are directly connected to the day’s content and offer students the individualized supports they need to be successful.

Each lesson and unit contains guidance for teachers on how to identify students who may need support, students who need to keep strengthening their understanding, and students who may be ready to stretch their learning. In addition, teachers are provided with recommendations for resources to use with each group of students.

Universal Design for Learning

Each lesson in the program incorporates opportunities for engagement, representation, action, and expression based on the guidelines of Universal Design for Learning (UDL).

  • Multiple Means of Engagement: Students engage in both print and digital learning, and are regularly participating in discussions and hands-on activities. Students are invited to build their own challenge for other students to solve, which provides opportunities for choice and
    autonomy, as well as joy and play.
  • Multiple Means of Representation: Students are encouraged to demonstrate their learning using mathematical representations, both print and digital, and regularly engage with their peers in analyzing multiple possible solutions. Classes engage in open-ended discussions about what individual students notice and wonder about mathematical concepts.
  • Multiple Means of Action and Expression: Learners differ in how they navigate learning environments and express what they know. Students can communicate their ideas in multiple ways, including in print, sketching, uploading photos, or recording an audio response.

Accessibility

Every lesson includes at least one specific suggestion the teacher can use to increase access to the lesson without reducing the mathematical demand of the tasks. These suggestions address the following areas:

  • Conceptual Processing
  • Visual-Spatial Processing
  • Executive Functioning
  • Memory and Attention
  • Fine Motor Skills

Students have the ability to control accessibility tools so that each learning experience is customized to their individual needs. In many instances, these tools can be turned on or off at any point of instruction.

  • Text to speech: Reads text instructions to students in multiple languages
  • Enlarged font: Increases the size of all text on screen
  • Braille mode: Includes narration of digital interactions
  • Language selection: Toggles between languages

Differentiation: In-Lesson Teacher Moves

Within every lesson activity, teachers can use the suggestions in the Differentiation Teacher Moves table to provide in-the-moment instructional support while students are engaged in the work of the lesson. This table can help teachers anticipate the ways students may approach the activity, and provides prompts that they can use during the lesson to Support, Strengthen, and Stretch individual students in their thinking. Teachers are provided with clear student actions and understanding to look for, each matched with immediately usable suggestions for how to respond to the student thinking illustrated in each row of the table. In addition to using these suggestions in the moment as teachers monitor student work, teachers can review the Differentiation table in advance to help them anticipate how students are likely to approach the activity.

A differentiation guide for Lesson 3 showing strategies for support, strengthen, and stretch, plus a section on math language development resources, all in a structured layout.

Differentiation: Beyond the Lesson

Teachers are provided with recommendations for resources to use with each group of students needing support, strengthening, and stretching after each lesson. Support, Strengthen, and Stretch resources include:

  • Mini-Lessons: 15-minute, small-group direct instruction lessons targeted to a specific concept or skill
  • Item Banks: Space for teachers to create practice and assessments by using filters and searching for standards, summative-style items, and more
  • Fluency Practice: Adaptive, personalized practice built out for basic operations and more
  • Extensions: Lesson-embedded Teacher Moves including possible stretch questions and activities for students
  • Lesson Practice: Additional practice problems support every lesson
  • Math Adventures: Strategy-based math games where students engage with math concepts and practice skills in a fun digital environment
  • Lesson Summary Support: Support for students and caregivers that provides efficient explanation of the learning goal with clear examples

Math Identity and Community

The Math Identity and Community feature supports teachers in helping students build confidence in their own mathematical thinking, develop skills to work with and learn from others when doing math, and learn how math is an interwoven part of their broader community. The embedded prompts throughout the lessons are designed to highlight what it means to be good at math, the value of sharing ideas, and the power of flexible and creating thinking. Here are some examples of the Math Identity and Community supports embedded in each lesson:

  • I can be all of me in math class. You will work with partners every day in math class. What do you want your partners to know about you? 
  • We are a math community. What does good listening look like and sound like in a math community? 
  • I am a doer of math. What math strengths did you use today?

Math Language Development

Every lesson in Amplify Desmos Math California includes opportunities for all students to develop mathematical language as they experience the content. Amplify Desmos Math California purposefully progresses language development from lesson to lesson and across units by supporting students in making their arguments and explanations stronger, clearer, and more precise. This systematic approach to the development of math language can be broken down into the following four categories of support:

  • Vocabulary: Units and lessons start by surfacing students’ language for new concepts, then building connections between their language and the new vocabulary for that unit. This honors the language assets that students bring into their learning.
  • Language Goals: Language goals attend to the mathematics students are learning, and are written through the lens of one or more of four language modalities: reading, writing, speaking, and listening.
  • Math Language Routines: Math Language Routines are used within lessons to highlight student-developed language and ideas, cultivate conversation, support mathematical sense-making, and promote meta-cognition.
  • Multilingual/English Learner Supports: Supports for multilingual/English learners (ML/ELs) are called out at intentional points within each lesson. These specific, targeted suggestions support ML/ELs with modifications that increase access to a task, or through development of contextual or mathematical language (both of which can be supportive of all learners). 

Multilingual and English Learner Supports

Amplify partnered with the English Learner Success Forum (ELSF), a national nonprofit organization that advocates for high-quality instructional materials that are inclusive of multilingual learners. ELSF reviewed Amplify Desmos Math California, and provided directional guidance and feedback to ensure that the program reflects their research-based instructional strategies for multilingual/English learners.

Our Math Language Development Resources book contains lesson-specific strategies and activities for all levels of English Learners (i.e., Emerging, Expanding, Bridging). With support for every lesson, teachers are empowered to help all students, regardless of their language skills, to participate fully, grasp the material, and excel in their mathematical journey.

Amplify Desmos Math California includes a digital glossary for languages other than Spanish. Translations will be provided for up to nine languages.

Amplify Desmos Math California will include Spanish student-facing materials beginning in the 2026–27 school year.

Category 5: Instructional Planning and Support

Amplify Desmos Math California includes a variety of embedded instructional supports to empower teachers to lead effectively and gain actionable insights into student growth and progress. Teachers are equipped with a comprehensive set of resources designed to fulfill the requirements of Category 5.

Within the Teacher Edition front matter:

  • Scope and sequence
  • Big Ideas, Drivers of Investigation, and Content Connections
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

Within each Unit and Sub-Unit Overview:

  • Big Ideas, Drivers of Investigation, and Content Connections
  • Math that Matters Most
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

Within each Lesson:

  • Big Ideas, Drivers of Investigation, and Content Connections
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

At the course level (within the Teacher Edition front matter):

  • Navigating the Program (both print and digital)
  • Facilitating Lesson Activities with Launch, Monitor and Connect
  • Overview of the Digital Facilitation Tools

At the lesson level:

  • Suggestions for timing
  • What materials to prep
  • How to organize and group students 
  • Key lesson takeaways with the Synthesis
  • Recommendations for Differentiation
  • Strategies for intervention and extensions (in the Intervention, Extensions, and Investigation Resources book)

At the activity level:

  • Differentiation recommendations
  • Accessibility tips
  • ML / EL tips
  • Teacher look-fors
  • Recommended Teacher Moves
  • Prompts for guiding student thinking 
  • Sample student responses

A variety of language development supports are provided within the Student and Teacher Editions and Math Language Development Resources book.

At the lesson level:

  • Diagrams and visuals
  • Sentence frames and word banks
  • Graphic organizers, including Frayer models
  • Vocabulary routines
  • Embedded language supports aligned to the CA ELDs
  • Lesson-specific strategies for Emerging, Expanding, and Bridging

At the unit level: 

  • Words With Multiple Meanings
  • Contextual vocabulary

At the course level:

  • English/Spanish cognates
  • Multilingual Glossary
  • Additional Practice Resources book
  • Assessment Resources book 
  • Assess and Respond guidance paired with each assessment opportunity
  • Show-What-You-Know activities
  • Answer keys and rubrics 
  • Performance tasks

Language comprehension: Building mental models

©Alexander Huth / The Regents of the University of California

Throughout this five-part series, we will cover the main components of the Science of Reading (SoR) and provide additional resources and research to guide your exploration and implementation of this important movement.

Say you’re given a passage of text to read. This particular paragraph describes half an inning of a made-up baseball game.

After you read the passage, you are asked to reenact the scene.

Which is more likely to aid your success?

A. Your ability to read

B. Your knowledge of baseball

C. It makes no difference

Would you be surprised to know the answer is actually B?

In part one of our series, “What is the Science of Reading anyway?,” we discussed the two main components of the Science of Reading: decoding (converting written words into speech) and language comprehension (understanding that speech). We also provided in-depth coverage of both learning and teaching how to decode the symbols of the English alphabet and strengthen the reading muscle.

LANGUAGE COMPREHENSION

In 1988, two young researchers and 64 students took part in an experiment that has forever changed how we think about reading and comprehension. One by one, the students were handed the same story covering half an inning of a made-up baseball game and asked to reenact it.

To the researchers’ surprise, they found that reading ability had little impact on how well kids understood the story—but knowledge of baseball did. In fact, students who were weak readers did as well as strong readers if they had knowledge of baseball.

Teaching knowledge explicitly improves reading comprehension. As Willingham has said, “Reading tests are knowledge tests in disguise.”

Researchers at the Haskins Lab at Yale tested this theory and found an extraordinarily high correlation between how well a 7-to-9-year-old child can recognize words and how well they comprehend text.

Common teaching mistake — Strategy instruction

So if reading comprehension is driven by a student’s vocabulary and knowledge, are widely taught strategies like finding the main idea equally critical?

Many strategies make intuitive sense: Stopping and re-reading when comprehension breaks down, for instance, is helpful for many children. But teaching the main idea strategy over and over is less helpful.

It is hard to find the main idea of a piece of writing if you don’t really understand any of the ideas in it. And even if you know a strategy — like re-reading when stuck — you also need to be well-versed in when to apply the strategy. You need to notice that you didn’t understand the text.

Often, strategy instruction neglects to offer students practice with identifying the situations in which they should use the strategy.

In the 1940s, a skills shift began to take place in education systems throughout the world. Its effects can be traced in the U.K., Sweden, Germany, and, most recently, France. This shift brought an emphasis on reading and math, squeezing out the broader knowledge taught in the sciences and social sciences. Some have linked the decline in standardized test scores—the SAT in the U.S. and the DEPP national exam in France—to this shift.

The National Survey of Science and Mathematics Education reported that today, classes in grades K–3 spend just 19 minutes per day on science and 16 minutes per day on social science.

To counter this loss of broader knowledge in our students, research suggests that we teach comprehension strategies in moderation and use the freed-up time to build knowledge (and vocabulary).

But simply exposing students to everyday speech doesn’t build a strong vocabulary. In a typical conversation, there are around 20 unusual words—such as dismayed or zeal—per 1000 words. Newspapers and books contain more than twice as many. Rich vocabulary, then, is gained not solely through speech, but through reading. Rich vocabulary, then, is gained not solely through speech, but through reading—especially when reading a variety of text types.

Mental models

Some readers with good word recognition, vocabulary, and knowledge are still weak comprehenders. Why might this be the case?

After students read a passage, they aren’t likely to recall the precise wording, but they will probably remember the ideas. Researchers use the term mental model to describe the structure you create in your mind to perform this feat of comprehension. Think of the process of building a mental model as a sort of micro-comprehension. Weak comprehenders build poor models. Hence, when asked prediction or mapping character development questions, they answer poorly.

There are four critical skills students need to improve their mental modeling:

  1. Decoding the usage of anaphoras (she, they, him). Some early readers can’t reliably figure out who the pronoun is referring to, especially in ambiguous text.
  2. Understanding the use of markers to signal ways that the text fits together — connectives, (like so, though, whenever) structure cues, and directions. Inexperienced readers may not know that but, though, yet, and however signal that something opposite follows.
  3. Writers make assumptions about what can be left unstated. For instance, when they read “Carla forgot her umbrella and got very wet today,” good readers will use their prior knowledge to conclude that it rained. Weaker readers who fail to make these gap-filling inferences wind up with gaps in their mental model.
  4. When something doesn’t make sense, you stop, re-read, and try to figure it out. Weaker readers just keep going—not because they’ve failed to figure it out, but because they’ve failed to notice that they don’t understand. They need explicit instruction in monitoring comprehension as they read.

Overview

Think of reading as a suitcase that you need two keys to open. The first key is word-level decoding, a skill that becomes automatic and fluent. The second key is language, vocabulary, and domain-specific knowledge. The more words you can decode, the more new words — and their meanings — you can learn. Similarly, the more knowledge you have on a topic, the more you can soak up on the same topic — and on related topics.

These two keys make up the Science of Reading. When schools focus heavily on one key or the other, the suitcase doesn’t open. So now the greater task of applying this knowledge in the classroom awaits us.

For more in-depth examples, brain scans, and information about the Science of Reading, download our free primer:

Science of Reading – Make the Shift Today

Daily math routines that spark student curiosity

It’s the educator’s eternal question: How do I keep students engaged?

When designing daily math practice, teachers are always working to make real-world math problems fresh and relevant, find new entrance points for concepts, or simply come up with surprises. All of these approaches can be very effective.

And though it may seem counter-intuitive, so can routines.

The power of instructional routine

The word routine can connote a sense of doing something mechanically, even without thinking. But teachers know that well-placed classroom routines can open opportunities for creative thought.

Routines provide a way for you and your students to build and maintain a sense of familiarity and structure throughout the school year. They also free up time teachers would otherwise spend giving directions. When students know exactly how a certain activity should run, and understand all instructions and expectations, everything goes more smoothly.

That’s why a core set of shared routines can be a powerful, practical force for establishing an effective classroom learning community..

Bringing math routine into the classroom

We know routines can be effective in any classroom. Now, we also have research offering direct evidence that certain routines are particularly effective in math classrooms.

Think-pair-share

Do you want your students to have more time to think before solving and sharing about a problem? 

GOAL: Provides opportunities to identify, compare, and contrast multiple strategies

TIP: During partnered discussion, consider displaying sentence frames such as, “ First they… Next they…” “Their strategy was to…” or “I see a/an… in both strategies.”.

How to do it:

  • Invite students to solve a problem that can be solved with multiple strategies. Then, display two or more different responses representing different strategies.
  • Give students time to analyze the strategies on their own and then invite them to discuss them with a partner.
  • Facilitate a class discussion to describe, compare, contrast, and connect the different strategies. Utilize open-ended questions like, “Why did different strategies lead to the same outcome?” or, “What was helpful about each strategy?”

Where to learn more

We worked with our curriculum team to develop routine cards for math teachers, so you can implement routines that are part of our math program in your classroom. Most of the routines you’ll find throughout Amplify Desmos Math have been specifically proven effective in math classrooms. All of them have been adapted from established teaching practices.

We invite you to access a sample set of some of our most popular routines and decide which ones to try out in your classroom!

Resources

Download free math instructional routine cards.

Explore Desmos Classroom.

Learn more about Amplify Desmos Math.

S5-04. Coaching tips for managing math anxiety in teachers

A blue graphic with text reading "Math Teacher Lounge" in multicolored letters and "Amplify." at the bottom, with abstract geometric shapes and lines as decoration.

So far this season, we’ve investigated math anxiety in students and its causes with passionate researchers and curriculum experts, including one from Sesame Workshop! Now we hear from Dr. Heidi Sabnani, consultant, coach, and co-host of Math 4 All, as she gives us research-based tips for teachers who are facing math anxiety themselves! Listen as we discuss Heidi’s own math anxiety and journey through math, the effects teacher math anxiety can have on instruction, and practices educators can implement right away for overcoming math anxiety.

Listen today and don’t forget to grab your MTL study guide to track your learning and make the most of this episode!

Download Transcript

Dr. Heidi Sabnani (00:00):

Coaching is the opportunity to provide that just-in-time kind of professional development for teachers, if we go at it in a slightly different way.

Dan Meyer (00:10):

Hey folks, welcome back to Math Teacher Lounge. I’m your host, Dan Meyer.

Bethany Lockhart Johnson (00:14):

And I’m Bethany Lockhart Johnson.

Dan Meyer (00:16):

Bethany, how are you doing, and how are you feeling about our current trajectory through this exploration of math anxiety?

Bethany Lockhart Johnson (00:24):

Dan, I gotta tell you — let me make it about me for a second. <laugh>.

Dan Meyer (00:29):

Go. Do it.

Bethany Lockhart Johnson (00:30):

If only I had known that so many other people experienced math anxiety, and I wasn’t the only one. I mean, I’ve said it before, but you know, I hope that this series so far is helping to reframe math anxiety for folks who maybe have a narrow definition of it … and I guess expand, reframe. And also, for those folks who are working with students who have math anxiety, or who they themselves have experienced math anxiety, I hope they’ve found some tools, some resources. Right? Like, “Yes!”

Dan Meyer (01:04):

Yes! Same.

New Speaker (01:06):

And what about you? How are you feeling?

Dan Meyer (01:08):

Yeah, I hope this has been cathartic for all of our listeners who have experienced math anxiety, and not re-traumatizing, that there are lots of people who feel this way about math in particular. And that it’s so well-experienced, so broadly experienced, that people have decided to study it a whole bunch. Which is great. And now we’re moving into our kind of solutioning. You know, in my relationships, I’m sometimes told that I rush too quickly to solutions before trying to understand what’s going on. So I’ve loved our episodes that have been about what is going on. And now, with Dr. Truglio last episode and our guest today, we’re moving more into some solutions, which I’m excited about.

Bethany Lockhart Johnson (01:49):

I don’t know, Dan, I think next time I see you I’m gonna bring a list of some concerns or worries I have, and I would love if you just get right to the solution. I’m actually OK with that.

Dan Meyer (02:01):

All right. Good to know. Good to know. I’ll say I am coming off of a day where I was feeling some teacher anxiety today, because I taught really real students. So just to let you know where I’m coming from here. I taught some seventh grade students at Montera Middle, here in Oakland Unified School District. Taught ’em a lesson outta the Desmos curriculum. And it was one of those lessons where some thorny stuff comes up. I’m talking students who are wrong for smart reasons, who are right for the wrong reasons, and their minds are working so hard trying to figure out inequalities. And I’m like trying to just step into that process as an educator with some curriculum and help shape those ideas. But it’s just … I don’t know, you want it to be as easy as like, “let me just show you how it’s done a few times, and now you got it.” But whew, some of these ideas, they take a long time to form up and they’re really easily reshaped by lots of stuff going on. So that’s where I’m at, anxiety-wise, right now. The teacher anxiety stuff.

Bethany Lockhart Johnson (03:04):

I think there’s probably plenty of teachers who do kind of just say, this is how you do it. And so, from what I have seen of your teaching and what I know of the Desmos curriculum, it is such an opportunity to think hard about the things that we are assuming about our students, assuming about what we know about the math itself. And yeah, that requires some thought.

Dan Meyer (03:30):

Yeah, for sure. I came in ready, like, “When you multiply both sides of an inequality by a negative, this sign flips around.” And I could just say that to kids and say, “Hey, remember that! Write that down!” And a lot of them would do it really well, you know, provided the assessment problems looked like ones we’ve gone over in class. And they’re also learning — in addition to that math, they’re learning that math is a giant sack of tricks they gotta memorize, right? So there’s just these pros and cons. And at the end of the one period I’m gonna teach this week, I was like, “Well, your teacher’s gonna go over that tomorrow, when they’re with you instead of me.” So it felt a bit like I copped out on that one. And I’m just in in my feelings about that right now. And I’m gonna try to come on down here and be present in the math-anxiety world.

Bethany Lockhart Johnson (04:25):

I appreciate you sharing that, Dan. And I think … I have a feeling that you could write a pretty catchy rhyme to allow the students to flip and <starting to rap> “multiply by negative. and dit-dit-dit-dit.” Can you feel it? You picking up that beat?

Dan Meyer (04:40):

Ooh, yeah. A nice little beat. Uh-huh. Yup.

Bethany Lockhart Johnson (04:41):

Yeah. You know, you could come up with something pretty clever, and yet you did not lean on your wordsmithing skills. You said, “No, let us dive in.” So what are you gonna do with this lesson, by the way? What happens now? You popped in for one period, and then what happens?

Dan Meyer (05:03):

Yeah. So this is gonna be a blast. I hope you folks tune in. We’re gonna actually release the footage of me teaching this lesson live. You know, it’ll be replayed live. And on top of that, a couple of my favorite teacher coaches and just smart people about teaching are going to be giving commentary. They are gonna be giving the director’s commentary, the sports announcers’ commentary on what they’re seeing. I beg for their generosity in their commentary. But I think it’ll be a lot of fun. I’ve never seen anything like this before, a commentary track on top of a teaching lesson, in this way. So I’m just gonna gonna be excited to see what they noticed that I didn’t, what they might have done, the thoughts they might have. Maybe I’ll do a post-game interview, you know.

Bethany Lockhart Johnson (05:50):

Ooh, yes!

Dan Meyer (05:50):

With my towel around my neck, <laugh> looking all sweaty.

Bethany Lockhart Johnson (05:54):

Ready, set, grow!

Dan Meyer (05:55):

Like, “Yup, we gave it all out there, you know, just a real team effort.” You know, that kind of thing. We’ll see how that goes.

Bethany Lockhart Johnson (06:02):

I actually love that idea. I love that it’s not just this one random lesson that just kind of floats out there, and it’s about, you walk away with whatever feelings you have, and the students obviously walk away, but that this is gonna help other educators.

Dan Meyer (06:17):

Yeah. Yeah. We’ll multiply my anxiety and make it more people’s anxiety. We’ll see how that goes. So stay tuned on the Math Teacher Lounge feed for that. All right?

Bethany Lockhart Johnson (06:25):

All right! And speaking of anxiety, Dan Meyer, we gotta get to today’s show. You know, last time we had some amazing strategies for helping students from Dr. Truglio from Sesame Workshop. I gotta tell you, I sent that episode to so many of my friends, like, “Listen to these ideas!” and have had some interesting follow-up conversations. And we would love to hear what you think about this season so far, at MTLShow on Twitter or in our Facebook group, Math Teacher Lounge. So today, we’re gonna focus on strategies for supporting teachers.

Dan Meyer (07:00):

Yes. Which is why we’re so excited to bring to you folks Heidi Sabnani, who — we’ve had researchers. We’ve had Sesame Workshoppers. And Heidi Sabnani has been a classroom teacher; she’s teacher-consultant; newly minted doctoral degree holder. We’re so pumped to bring to you folks: Heidi Sabnani.

Bethany Lockhart Johnson (07:25):

Dr. Sabnani, thank you for being here. Can we call you Dr. Heidi? What would you. …

Dr. Heidi Sabnani (07:31):

You can just call me Heidi. Yeah. Heidi is good.

Dan Meyer (07:36):

Right on.

Bethany Lockhart Johnson (07:36):

  1. Heidi, thank you for joining us in the Lounge. We’re so excited to talk with you.

Dr. Heidi Sabnani (07:41):

I am super-honored to be here. It’s really exciting and I just really appreciate the opportunity.

Bethany Lockhart Johnson (07:47):

I will say I don’t have a PhD, although the two people I’m talking with right now, both do, and you’re both like holding up your degrees as we speak and saying, “Wah-wah.” But I imagine that if I did, I’d wanna throw that doctor in more frequently, so.

Dr. Heidi Sabnani (08:02):

Well—

Bethany Lockhart Johnson (08:03):

If I sneak in a “Doctor,” Heidi, it’s only out of respect.

Dr. Heidi Sabnani (08:05):

  1. I appreciate it.

Bethany Lockhart Johnson (08:07):

Dan makes me call him Dr. Meyer all the time.

Dan Meyer (08:10):

You don’t call me Dr. Dan or Dr. Meyer, ever. So—

Bethany Lockhart Johnson (08:13):

I will now!

Dan Meyer (08:14):

—this respect only goes towards Dr. Heidi, it seems. But yeah, we’ll take that off the air.

Bethany Lockhart Johnson (08:19):

Well, we are going to delve into your research on math anxiety soon, because I actually — speaking of becoming a doctor, a new doctor, I have some questions. We have questions about your research, but on a personal level, I really appreciated the way that you share that you yourself experienced math anxiety as a student. So I’m wondering if you could tell us a bit about your own math anxiety, your <laugh> journey through math.

Dr. Heidi Sabnani (08:50):

Yeah, so much like the people in the research that I did, and with the research that I read by others, many of us can tie the beginnings — or like the evil villain origin story of math anxiety — to a particular event, or series of events. And my series of events started, the big blow-up, I guess, in fourth grade. And I had had some struggles in school — I have mild dyslexia and dyscalculia. And so I had always been in the special group of kids who got some extra attention <laugh> from the teacher, or from an aide, or whoever happened to be in the room. But in fourth grade — at that time, they taught multiplication and division facts in fourth grade. Many, many moons ago. And I struggled greatly with just understanding what was happening and why we were moving so quickly. And, my teacher was probably not the best person to be entrusted with my learning at the time. Like, her style may have been OK for others, but it was obvious that she felt like kind of wasting her time with some people in the classroom. And I happened to be one of those people.

Bethany Lockhart Johnson (10:26):

Mmm. You said that really diplomatically, though. <Laugh>

Dr. Heidi Sabnani (10:30):

Well, you know, you look back at things from the perspective of many years. And having made lots of mistakes myself in the classroom as a teacher, I try to give some grace to things that happened, and how you remember them. Yeah, that’s my story, but maybe she had a different one, right?

Bethany Lockhart Johnson (10:55):

Yeah. But fourth grade Heidi was still, you know, still experiencing that. Yeah.

Dr. Heidi Sabnani (11:01):

Yeah. Fourth-grade Heidi didn’t like being in the “dumb group” and didn’t like being told that she would probably not graduate from high school. So that was kind of the general environment. And I got further and further behind in math. The dyslexia was less and less of an issue the older I got, because I had great comprehension. And so I could figure out the fluency thing just by the pattern of language, because mine is mild in comparison to so many who struggle with that. But math was not working in that same way. And I got more and more behind and to the point where I was having to stay in every day at recess. And I had had it after like a month. Like, I’m not staying in at recess anymore to do this math that I don’t understand, by myself. Like, not doing it. So I—

Bethany Lockhart Johnson (11:53):

Which, by the way, if there’s one way to make you hate it, <laugh> like, to engender, to endear you to a subject, could it be, “Let’s have you stay in at recess”?

Dr. Heidi Sabnani (12:07):

Right. And so one day I just stormed out of the classroom, I was like, “I’m not coming. I’m not staying, I’m not doing this anymore. I’m done.” And I can remember her standing up at the top of the hill screaming at me to come back, and I was like, “No way. Not doing it. Done with this.” I went to a parochial school, though, and my dad is a pastor. So that whole little incident blew up in the greater community in a way that I didn’t really anticipate as a fourth grader. And my parents had no idea that this was going on. And so they were shocked and dismayed that their — up until that point — oldest child, rule-follower, had done this. But then even more upset when they found out what was happening with my math understanding, or lack thereof. And they did what they knew best at the time. So my mom was a great memorizer. She has a brain like an elephant. And my dad grew up in the British system in India and Singapore, and it was at that time very much based on memorization. And so they were like, “We are gonna just work really hard. We’re gonna buckle down and do this thing <laugh>.” And so that’s what we did, and that’s where all of it began. It was not — it was just about “We’re gonna learn the facts. We’re not gonna ask questions; we’re not gonna think about it, because it’s just the rules. And if you can figure out the rules or the system or what the teacher wants, and mimic what the teacher is doing, then you’ll be successful.” And it was really successful for me, once I figured that out all the way through. My whole goal in high school when I took high school math was to take enough math courses with a high-enough GPA that when I got my BA in college, that I would never have to take math again. And I succeeded in that and got an English degree and a Master’s in world lit. And I was in no way doing math ever again.

Bethany Lockhart Johnson (14:31):

But little did you know that Future You was going to be researching math anxiety. How did you wind up researching it then? How did you wind up researching math anxiety?

Dr. Heidi Sabnani (14:43):

So I took a job in school improvement when I was working in Ohio, after a number of years teaching high school English in Southern California and Guatemala and Michigan, all over the place. And I took a job in school improvement with a co-consultant who was gonna be doing the math end, and I was gonna be doing the literacy end, and we were just gonna go in, and I was gonna make kids love reading, and she was gonna make kids love math, and it was gonna be so fun. And then she decided she didn’t like working with adults and they couldn’t find anyone else. And my boss said, “So you’re just gonna do both for the rest of the year.” After that year, I got requested to go back and, and do this again. I said, “Well, if I’m gonna do this, I’m going to go back and reteach myself the math in ways that I wish that fourth-grade Heidi had learned it, and fourth-grade-and-up Heidi had learned it.” And so that was like the, the beginning of the switch. And so now equal amounts of time in my career have been spent in both. But when I started, when I continued working, when I left the classroom to continue working with teachers, and when I transitioned more into an elementary setting, I began to notice the same behaviors that I had in high school of avoiding math, and avoiding teaching math, were happening in the classrooms that I was supporting. And so I would have teachers come and say, “Oh, can we talk about this literacy thing?” And even if it was like a math meeting, or we were supposed to split the time evenly, and ohhh, for some reason the literacy time talk would just like move over <laugh>. And then there was no time to talk about math at the end. And “Oh, that’s just too bad.” Like, we’re just gonna move on to this next thing. Funny how that happens, right?

Bethany Lockhart Johnson (16:32):

Yeah. <laugh>.

Dr. Heidi Sabnani (16:34):

And noticing teachers’ behaviors around going to and or avoiding math professional development that I was giving. Or getting sick. Or like having to leave the room for a long period of time. And so I began to notice these behaviors. And initially I thought I wanted to look at math anxiety in children, which is one branch of the research that I started with. But as I got into things more, the people that I have the most influence in are adults right now.

Dan Meyer (17:09):

Right.

Dr. Heidi Sabnani (17:09):

And so as I started looking at the research that had already been done, I feel like we do a really nice job of admiring the problem of math anxiety, and we do less in the “what to do about” phase. And so I was like, “Well, if I’m going to continue to be in this career and in this profession, then I need to be doing something in the space of ‘what are we gonna do about it?’” And so that’s how I switched to looking at “what do we do to help teachers?” Particularly elementary school teachers, because that’s the area of greatest need, based on previous research that we could at least do something to help.

Dan Meyer (17:51):

Yeah. A previous guest mentioned that a lot of research is better understood as me-search, especially in this kind of arena, where we’re going back in to try to understand what it was that happened for us and how to prevent it for future generations. And I have nothing but respect for that motivation right there. And your point is well-put, that it is very possible to spend a ton of time examining math anxiety from every angle, every facet, you know, put it up there on a mounted board and admire it … and there’s a lot of value there, but I appreciate that you’re moving into, “So, now what?”

Dr. Heidi Sabnani (18:27):

Yep.

Dan Meyer (18:28):

And so I’d love if you’d share with us and our listeners the broad details of your study, and what you ultimately found. Like, if there are any large takeaways here, what were they?

Dr. Heidi Sabnani (18:40):

Yeah. So a couple of things to kind of just lay a little bit of the groundwork. One out of four teachers say that they have math anxiety. Those numbers increase rapidly, the younger of the grades that the teachers teach. So if we think about preK to two, it’s about 88%, based on other people’s research. So I was like, “Well that’s a lot of people <laugh>!” And so, that’s the scope of the problem. And so I was thinking, “OK, what do we do in these moments?” Because other researchers had said they’re spending — when they don’t like it, they’re spending less time teaching math and avoiding it, or relying on methods that were done to us. Just out of fear of trying something different, at many times. And so one thing that has become more prominent in math education since I transitioned 16 years ago into this has been the role of coaches in school systems. And so one of the questions I wanted to think about was, “What can coaches or math specialists who work with adults as well do to help the teachers that they work with?” So that was kind of the lens that I was looking at. Like, let’s think about the systems that we currently have in place. Is there something that we could be doing that would help teachers, that wouldn’t be so huge or so monumental that with little shifts in our own behavior as coaches or professional development providers that we could make that would make a difference? So that being said, this was a qualitative study, so a small group of people in very intense settings. So I kind of always wanna preface that, because in academic world, you know, there’s <laugh> all sorts of thoughts about that. So I had asked teachers from districts that I work with who self-identified as having math anxiety if they would be interested in the study. So, this is what we’re thinking of, this is what it would look like, and the scope of the support they would have.

Bethany Lockhart Johnson (20:50):

So basically you’re tracking these four teachers who self-identified as math anxious. And were you serving as their coach and kind of seeing what was working?

Dr. Heidi Sabnani (21:00):

I was serving as their coach. Yeah. I was serving as their coach during that time period. And some fairly recent research that had been done was in the idea of “Can we do some reflective conversations or reflective writing around where your math anxiety started, and how that makes you feel both as a teacher of mathematics now, because you are teaching math, and how that affects your identity as a mathematician?” And so that was the first starting point. And that was a really critical moment that I’m glad that I had stumbled across the research on, because it turned out that having someone hear and acknowledge that what happened to them was both wrong and inappropriate, in many cases, and in a couple instances, was traumatic and also abusive — that that mattered. That it was OK to feel anger and hurt and frustration based on what happened to you in the past. And then have that moment to reflect on, “OK, so what do you want the classroom environment that you’re building as a teacher to feel like for your students?” So it was turning that moment of how they felt to thinking about, then, what kind of environment do we wanna make within the math classroom? And what steps can we take to ensure that happens? So that was like, Step One is just thinking about what that looks like. What kind of math identities then do you want to create for your students? Because all of the teachers were very concerned with not continuing the cyclical nature that often happens with math anxiety, from teacher to student and back again.

Bethany Lockhart Johnson (22:54):

Well, and even that validation, right? Like, how many of them hadn’t even had, like you said, had that? We had another, when in our first episode, Dr. Gerardo Ramirez talked about that validation and how key.

Dr. Heidi Sabnani (23:09):

Yeah. That was the first thing. The next step of it, which very different from what I often do — I don’t generally go in and model for teachers — just me, taking over your classroom. I really like to co-plan with teachers and co-teach with teachers and have it not feel like they’re losing control over what’s happening in that moment. And that’s generally the way that I go in when I’m doing professional development in a classroom, right? Like, I’m working with the teacher and we’re a team; we’re doing this together. But in these four cases, these teachers were very, very resistant <laughs> to co-teaching. And so I said, “OK, well, let’s throw everything out. Let’s try whatever it happens to be.” So the modeling aspect turned out to be really important, in part when three out of the four cases, because they were like, “Oh, I can do that.” <laugh> like, Well, yeah, I know you can! Like, it was that having a moment to sit back and see someone else doing it — which is harder to do when you’re co-teaching, right? It’s harder to be reflective in the moment when you’re still thinking about the teaching choices you’re making, because you’re both co-teaching.

Bethany Lockhart Johnson (24:24):

Right. Or sometimes you see, like in co-teaching, it falls into “one teach, one manage,” you know, or something like that.

Dr. Heidi Sabnani (24:31):

Yes.

Bethany Lockhart Johnson (24:31):

I have definitely fallen into that. But you, by modeling … it was almost, I don’t know, it feels like you’re kind of holding their hand. Like, “I’ll show you!” And not that it has to exactly look like that, right? But you found if a coach is coming in and the teacher gets to sit back and basically watch their students learn, they’re probably gettinga ton of information about their students, and they’re really learning some teaching strategies for mathematics that they can then like dip their toe in. I think? <Laugh> Am I kind of thinking of this? I’m trying to picture this and it feels rich and rife with possibilities <laugh>.

Dr. Heidi Sabnani (25:16):

Well, and it, it turned it from … I think sometimes, when I go into a classroom, I learn so much from watching teachers and being able to sit and listen to students, that you don’t always have the luxury of when you’re the teacher. <Laugh> Right? It’s so much harder to be like, “OK, I’m gonna be watching what a kid does, because I’m hoping someone uses this strategy, so I can connect it to this other person’s strategy, so that we can take that apart and look at it and really have immediate discussion around it.” Those are all so many things that are happening in the moment as a teacher. You don’t get to sit back and look at it from a researcher kind of lens. Or look, you know, from the up-above lens. And when I had these conversations with teachers, I was like, “That’s what I want you to do. I want you to be able to sit back and look at all the things that are happening.” Because then you begin to notice not only the moves that the teacher — in this case, me — who was modeling for them was doing, but also the student conversations. And it was almost like having a case study within that moment, where they got to sit back and just experience, versus thinking about all the decisions that they would make at the moment. So that was something that was really surprising to me.

Dan Meyer (26:33):

Yeah. And I love the idea that they’re seeing the pedagogical moves, but they’re also experiencing perhaps a sense of math that’s de-stressed. You know, they are allowing themselves to sit next to students and feel as though they are a student, in ways that if you’re co-teaching, you are still like enmeshed in the gears of the whole lesson. I wonder if that’s a part of this too. So I’m hearing from you that we’re taking these teachers who have all admitted to some math anxiety, and that one of the interventions, or one of the findings, was that modeling worked really well for, again, this set of teachers. But you modeling lessons that highlighted mathematics, that was less anxious, that helped the teachers see that students were engaging in really productive un-anxious ways, brave ways. Were there other kinds of takeaways that you experienced there?

Dr. Heidi Sabnani (27:24):

Yeah. So in addition to that, we had to think about and start at Step One. One of the teachers that I worked with had done her student teaching with a teacher who had math anxiety, and who never taught math. And so she entered her teaching career, never having taught math before or seen it taught. And so in her situation, she had had one course in her teacher preparation program, that was on fractions.

Bethany Lockhart Johnson (27:54):

That’s often the case, right? One math methods course! Help, we have to get it all in in this semester! <Laugh>

Dr. Heidi Sabnani (28:01):

<Laugh> Yes. And so she came in and said, “I feel like I have to start at the beginning.” And so there was no question that was inappropriate, or that we weren’t going to explore or think about. And so that was, I think, the starting place with that particular teacher. And then one other, who was kind of in her same age range, where we had to start thinking about, “OK, how did you learn as a learner? What ways are you seeing your students learn as learners? And then let’s focus on those first as the areas that you wanna explore in your teaching.” And so a lot of that ended up being much more visual and hands-on ways of exploring. And so those were some of the changes in, I think, pedagogy that were the most significant. In a couple of cases, these are early elementary teachers who had had one experience with manipulatives in their whole teaching career up until that point. And so one teacher brought me a bucket of Cuisenaire rods and said, “These are in my room. I don’t know what they are. <Laugh> Are we building things with them? Are they blocks that are just small? <Laugh> Like what are they for?”

Bethany Lockhart Johnson (29:20):

Yes!

Dr. Heidi Sabnani (29:21):

And so, <laugh> it was that idea of, “OK, let’s, let’s explore all the different ways that we can use these, and that we can think about how your students might learn best with this particular tool that you have in your room.”

Bethany Lockhart Johnson (29:34):

So hearing you talk about this research — which by the way, I know, you’re like, for our listeners, it’s all, “Quick, boil down your years and hours of research and synthesize it for us.”

Dan Meyer (29:50):

Your life’s work.

Bethany Lockhart Johnson (29:50):

In a little tiny neat package. But really though, even though I know there’s so many layers to your research, and your work with these teachers, I wanna flag for our listeners that even the things that you’ve identified for us, you were giving teachers space — as coach, giving teachers space, and validating their experience as a mathematician, as you know, as a young student, right? Making space for that experience and validating “Yeah, that was really lousy and your math anxiety is real.” Like, Step One is already powerful. And then you’re creating space where they get to be in their classroom as a learner, right? And have a lesson modeled. And then you’re creating more <laugh> space for them to learn and ask questions. And I have absolutely seen teachers like, “I don’t know what to do with these,” and kind of shove aside the district-provided tools or the curriculum-provided tools. And so even those things, Heidi — Dr. Heidi <laugh> — you know, even if … I don’t know, for me, I am listening to you and just holding those points in mind and feeling like that, alone, if a coach did even just that … I know there’s so much more to it, but what a powerful opportunity for reclaiming math as an educator, right? That’s what I’m feeling.

Dr. Heidi Sabnani (31:25):

Well, and I was hoping that there wouldn’t be … I mean, OK, it’s a double-sided hope. If there was something like so novel and so fantastic that was so different from the things that we have already at our disposal, that would’ve made a much better book or dissertation. <Laugh> But the reality is, there are things that we already know work. And we don’t often take the time or, or are given the time to be able to explore those things. Right? So even as coaches, you have district initiatives or things like, “this is what we’re working on this year,” and that’s fantastic, right? We keep those things moving forward. But if we’re thinking about coaching teachers with math anxiety, no teacher with math anxiety is going to be coming to NCTM.

Dan Meyer (32:16):

Right. Right. Or the training.

Dr. Heidi Sabnani (32:19):

Or the training. They’re like, “Oh, PD day? Literacy! Yes, please! Bye!” You know, it’s that piece of it. So when we have these moments, the coaching is the opportunity to provide that just-in-time kind of professional development for teachers, if we go at it in a slightly different way. It does not have to be huge. It can be things like, they feel that they’re stronger in literacy. Well, then, let’s explore some of the ideas around math, anxiety and math identity and examples of people who’ve overcome either those things or other barriers in their life. And how can those things help form not only your students’ math identity, but your math identity. And it gives entry points in ways that you have access to if you’re a person’s coach.

Dan Meyer (33:18):

So in that sense, I’d love to know from you, if someone came to you at a coach’s meeting at NCSM and asked you, “What is something I can do right now to support the teachers at my site and my district, who are commonly experiencing math anxiety?” What is something that you would offer them in that brief moment you had with that coach?

Dr. Heidi Sabnani (33:40):

So it is hearing their story first. That’s the big one. And then, can you, in your coaching, provide opportunities to slow down? We all have these pacing guides in some form or another, that drive the things that are coming. Is there a way that you can set up meetings a month or more in advance of the content that those teachers are going to teach? Can we explore a month in advance, that content? And ways to teach it and understand it? There’s the ways to teach it, but there’s also like, “What is this math and how do kids experience this math?” What kind of experiences do we want to have ourselves as learners and then have as kids? If we can create cycles like that, that then don’t feel so rushed. It’s so hard when we’re like, “Oh, we have a planning meeting and we’re meeting with our coach!” And you’re teaching this lesson tomorrow. “Learn all this stuff about adding and subtracting on a number line. Go!” It’s so fast. And so if we had those opportunities to build in cycles, where we could slow down that process, it would make a huge difference in the lives of so many teachers. And it’s finding that time and the willingness. If you listen to teachers, they will work with you. If you validate what happens to them, and acknowledge that sometimes that still happens to us. I mean, I still have experiences like that. Sometimes I’ll walk into a classroom and I’m like, “Oh, I forgot how to do that!” You know, like, “I’ve not reached that far in my remaking of my own education!”

Bethany Lockhart Johnson (35:24):

Yehhhh, heh heh heh.

Dr. Heidi Sabnani (35:25):

<laugh>. And you think, “I don’t wanna look like an idiot. I’m the math consultant who’s here to duh duh duh.” All of those things still come up. Yeah. And stopping and saying like, “OK, everybody, this is what’s happening to me right now.” <laugh> The vulnerability you have, you have to think about that. Even if you don’t have experiences of math anxiety in your own life. Let’s say you always rocked out in math, and you’re now a math specialist and you love it. You think it’s the most spectacular thing. There’s some other element in your life where you face some anxiety. All of us do. So it’s about thinking about, “OK, this is where I experience anxiety. Can I find that in the teachers that I work with? And then, can my teachers find that in the students they work with?” You know, the teachers, as they begin to reflect on their own experiences, began noticing which students always went to the nurse during math time, always asked to go to the bathroom during math time, always couldn’t find a pencil, or whatever it happened to be. And they began to be more aware of their students’ behaviors as well, and could then say, “Hey, let’s sit and talk about how you feel in math class. Like, I’ve been noticing that when it’s time for math, like your stomach hurts. Can we talk about like why that might be?” Because those teachers with math are more attuned, often, to those students. And so it just … the time factor, I guess is, is the bottom line.

Bethany Lockhart Johnson (36:59):

I just wanna say, it’s so great to have you in the Lounge. Because I think you’re really bringing this perspective that we haven’t talked about, which … we are not expecting coaches to walk in and know it all. That’s actually the exact opposite. You are allowed to be vulnerable. We are not saying, “Come,” quote-unquote, “Fix this.” It’s like, “Hey, how can you facilitate and make space?” And I feel like you have given us just a taste of like how that might be possible. And you know, I think even if it’s just a chance for teachers to reflect on their own experience in math, even that would probably be kind of revolutionary for — and I don’t say that word lightly — for some PD spaces, especially if they have another peer in their team that is like quote-unquote, “a whiz,” or like, “Oh, I don’t feel like I can be vulnerable in my math anxiety because this teacher seems to know it all.” But you’re creating space where it’s like, “Hey, we all have strengths. We all have areas where we could support each other.” And I love that invitation for coaches. I love that invitation for teachers. And … yeah. I’m just, I’m so glad we get a snapshot of your research. Again, I know, I respect that this is not the whole thing!

Dan Meyer (38:22):

Can we find … is there a link to your dissertation in the show notes, for those of us who peruse dissertations? Can we add something here? Think about —

Dr. Heidi Sabnani (38:29):

Oh, I have no idea!

Dan Meyer (38:30):

Just think about it. Just think about it. But —

Dr. Heidi Sabnani (38:34):

It’s somewhere on ProQuest. It did get some. …

Dan Meyer (38:36):

Right on.

Bethany Lockhart Johnson (38:36):

Is that a thing, Dan? Could I go, like, Google your dissertation?

Dan Meyer (38:39):

You definitely could. Yeah, for sure. It’s around. Yeah, same way. Well, that’s awesome. And I think it’s so helpful for those who write those enormous unwieldy essays to, you know, distill it in different ways. I hope it’s been … we’ve enjoyed so much, hearing you carve up a huge project into pieces that were really helpful for us to think about here in the Lounge. Thank you so much for coming on and hanging out with us. Dr. Sabnani, it’s been a pleasure.

Dr. Heidi Sabnani (39:06):

Hey, I’m happy to do it any time. Always the biggest joy in the work that I do is little changes in a positive direction.

Dan Meyer (39:18):

Right on.

Dr. Heidi Sabnani (39:19):

That’s all that this is about. Right? Whether it’s kids, whether it’s teachers, whether it’s administration. The work that we all do is so valuable, and it is more and more difficult over time. And just giving ourselves a little bit of space to think about and acknowledge that, I think, is really important. So I appreciate you all making space as well. And thinking about this idea. Because <laugh> we’re math people! And we don’t have math anxiety! Right?

Bethany Lockhart Johnson (39:51):

<laugh>

Dan Meyer (39:51):

So people would assume

Dr. Heidi Sabnani (39:54):

<laugh>. Yeah.

Bethany Lockhart Johnson (39:54):

Thank you so much. You’re welcome back in the Lounge anytime. <laugh> Thanks so much for listening to our conversation with Dr. Heidi Sabnani, consultant and co-host of the show “Math for All.” I can’t get enough about talking about math anxiety!

Dan Meyer (40:13):

Especially from people who are working with teachers so closely.

Bethany Lockhart Johnson (40:18):

Yes, totally. I loved that lens of, “Hey, look at what happens if we actually focus on the teacher’s experience and help them kind of reclaim this comfort, this sense of identity, relationship with math that’s positive. How does that impact their teaching?” I loved talking about it, and I’m really interested in how that work continues to evolve. So thank you so much Dr. Sabnani, for your time. And you know, listeners, please keep in touch with us on our Facebook, in our discussion group, Math Teacher Lounge Community, or you can find us on Twitter at MTL show.

Dan Meyer (40:58):

If you haven’t already, please subscribe to Math Teacher Lounge, wherever you get podcasts. Also, if you like what you’re hearing, please rate us and leave us a review. It will help more listeners find the show. And it just makes me and Bethany feel good about ourselves, too. You can find more information on all of Amplify’s shows at our new podcast hub. Go to Amplify.com/hub.

Bethany Lockhart Johnson (41:20):

You know, Dan, I also always like to say, I find most of my podcasts through recommendations from other listeners, friends, folks. So if you like what you’re hearing, share it in your teacher lounge. Just, like, on break, turn it up and start vibing and having the conversation right there.

Dan Meyer (41:40):

Yep. Yep. I got a better idea. Take the link to this podcast and then copy it and find the longest — the thread in your inbox with the most people on it. One of those ones that’s like, someone accidentally cc’d like 500 people, everyone at your school. Press “reply.” This is crucial. Not “reply,” but “reply all.” Paste that link in. Press “send.” Watch what happens.

Bethany Lockhart Johnson (42:04):

Nothing but good —

Dan Meyer (42:04):

Good fortune will be yours.

Bethany Lockhart Johnson (42:06):

Nothing but good things can happen when you send this to 500 people in the next 10 minutes. Next time on Math Teacher Lounge, we’re gonna be joined by Dr. Marjorie Schaeffer of St. Mary’s College for a conversation about math anxiety, and specifically Dan, how parents and caregivers, how their disposition influences the way their kiddos feel about math.

Dr. Marjorie Schaeffer (42:29):

I think the most important thing we know from literature right now is that high-math-anxious parents, when they interact with their children, their children learn less math over the course of the school year.

Bethany Lockhart Johnson (42:40):

And get this, she’s gonna talk to us about an app that just might be something worth, you know, heading over to the app store for.

Dan Meyer (42:49):

I’ve used some apps, I have opinions, and I can’t wait. We just share recommendations on apps with Dr. Schaeffer.

Bethany Lockhart Johnson (42:56):

That’s next time on Math Teacher Lounge. Thanks so much for listening.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Dr. Heidi Sabnani says about math

“Much like the people in my research, many of us can tie the beginnings or the ‘evil villain origin story’ of our own math anxiety to an event or series of events.”

– Dr. Heidi Sabnani

Consultant and Co-host of Math 4 All

Meet the guest

Heidi Sabnani is always surprised that she works in math education. She developed math anxiety as a young student and spent much of her school life and early career avoiding math. After teaching English in the United States and Guatemala, and earning her MA in World Literature, she found herself in the uncomfortable position of working in math classrooms as a school improvement consultant. Once she realized that her life was going to involve math, Heidi decided to relearn math in the ways she wished she had learned the first time around. 18 years later she is still learning with and from the students and teachers she has the privilege to serve.

Heidi’s doctoral research at Northeastern University focused on interventions for math anxiety in elementary teachers. She currently works as a consultant, speaker, and author.

Portrait of a woman with long dark hair, wearing a light gray sweater, smiling in front of a blurred outdoor background, with graphic elements framing the photo—perfect for math teacher resources or a welcoming math teacher lounge.
A laptop displaying a Facebook group page for "Math Teacher Lounge Community," featuring profile photos, a group banner, and geometric shapes in the image background.

About Math Teacher Lounge

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

Grade K

Topic Opener Numbers 0 to 5

Topic Opener Numbers 0 to 5Connecting Cubes

Topic 1: Numbers 0 to 5

Lesson 1-2 Recognize 1, 2, and 3 in Different ArrangementsSkye’s Style
Lesson 1-5 Recognize 4 and 5 in Different ArrangementsMatching Groups
Designing Shoes with Skye
3-ACT MATH: Set the TableInvestigate: Cafeteria Math

Topic 3: Numbers 6 to 10

Lesson 3-2: Read, Make, and Write 6 and 7Moving and Grooving
Lesson 3-4: Read, Make, and Write 8 and 9Moving and Grooving
Lesson 3-6: Read, Make, and Write 10Moving and Grooving
Lesson 3-7: Count Numbers to 10Fingers as Math Tools

Topic 4: Compare Numbers 0 to 10

Lesson 4-1: Compare Groups to 10 by MatchingMore, Fewer, or the Same
Forest Friends
Lesson 4-2: Compare Numbers Using Numerals to 10Fingers and Counters
Lesson 4-3: Compare Groups to 10 by CountingComparing Words

Topic 6: Understand Addition

Interactive Math StoryInvestigate: Casey’s Town
Lesson 6-1: Explore AdditionHow Many Objects in Pictures?
The Bus Depot
Lesson 6-2: Represent Addition as Adding ToHow Will You Count?
Lesson 6-3: Represent Addition as Putting TogetherHow Many Objects?
Lesson 6-4: Represent and Explain Addition with EquationsWhat Does It Mean to Add?

Topic 7: Understand Subtraction

Lesson 7-1: Explore SubtractionWhat Does It Mean to Subtract?
The Bus Depot

Topic 8: More Addition and Subtraction

Lesson 8-5: Decompose 6 and 7 to Solve ProblemsHarry Explores the Ocean
Lesson 8-6: Decompose 8 and 9 to Solve ProblemsHarry Explores the Ocean
Lesson 8-8: Decompose 10 to Solve ProblemsHarry Explores the Ocean

Topic 12: Identify and Describe Shapes

Lesson 12-2: Circles and TrianglesWhat’s That Shape Called?
Lesson 12-3: Squares and Other RectanglesAnother Shape

Topic 13: Analyze, Compare, and Create Shapes

Lesson 13-1: Analyze and Compare Two-Dimensional (2-D) ShapesAnother Shape
So Much Sorting

Grade 1

Topic 1: Understand Addition and Subtraction

Lesson 1-4: Take FromPacking for a Picnic
What’s the Difference?
Lesson 1-7: Change UnknownReplanting Huli
Lesson 1-8: Practice Adding and SubtractingLeaping Lily Pads!

Topic 2: Fluently Add and Subtract Within 10

enVision STEM ProjectA Community Working Together
Topic 2 Interactive Math StoryInvestigate: Let’s Grow!
Lesson 2-8: Solve Word Problems with Facts to 10Tutu’s Garden in Maui
The Kalo Plants
Helping Others

Topic 3: Addition Facts to 20: Use Strategies

Lesson 3-5: Make 10 to AddMaking 10
Lesson 3-6: Continue to Make 10 to AddKitten Coaster

Topic 6: Represent and Interpret Data

Lesson 6-1: Organize Data into Three CategoriesShapes Ying Saw

Topic 7: Extend the Counting Sequence

Lesson 7-1: Count by 10s to 120Meeting Yara
Grade 1 Lesson 7-5: Count on an Open Number LineTime to Line Up!
Grade 1 Lesson 7-5: Count on an Open Number LineWhat’s That Number?

Topic 8: Understand Place value

Lesson 8-1: Make Numbers 11 to 19Same Number, Different Ways
Lesson 8-2: Numbers Made with TensInvestigate: Game Points
It’s a Match

Topic 9: Compare Two-Digit Numbers

Lesson 9-3: Compare NumbersInvestigate: Where Am I?
Grade 1 Lesson 9-5: Compare Numbers on a Number LineGreater Than, Less Than, or Equal to
Grade 1 Lesson 9-5: Compare Numbers on a Number LineIn Full Bloom

Topic 10: Use Models and Strategies to Add Tens and Ones

Lesson 10-1: Add Tens Using ModelsHow Many Cubes?
Boris’s Thimbles
How Many Tens?

Topic 11: Use Models and Strategies to Subtract Tens

Lesson 11-1: Subtract Tens Using ModelsBoris’s Thimbles
Lesson 11-2: Subtract Tens Using a Hundred ChartHow Many Tens?

Topic 14: Reason with Shapes and Their Attributes

Lesson 14-1: Use Attributes to Define Two-Dimensional (2-D) ShapesShapes Ying Saw

Grade 2

Topic 1: Fluently Add and Subtract Within 20

Lesson 1-1: Addition Fact StrategiesExploring Within 10
Lesson 1-3: Make a 10 to AddWays to Make 10

Topic 8: Work with Time and Money

Lesson 8-1: Solve Problems with CoinsInvestigate: Activities at the Block Party
Discovering Coins (Part 1)
Discovering Coins (Part 2)
Lesson 8-2: Continue to Solve Problems with CoinsHow Much Money?
Discovering Coins (Part 2)
Lesson 8-5: Problem Solving: ReasoningThe Toy Stand
The Craft Stand at the Block Party

Topic 12: Measuring Length

Lesson 12-8: Compare LengthsLengths of Jungle Animals

Topic 15: Graphs and Data

Lesson 15-1: Line PlotsMessy Measurements
Lesson 15-2: More Line PlotsBracelets and Wristbands
Lesson 15-3: Bar GraphsAwesome Aquariums

Grade 3

Topic 1: Understand Multiplication and Division of Whole Numbers

Lesson 1-1: Relate Multiplication and AdditionEqual Groups
Lesson 1-3: Arrays and PropertiesArrays of Flavor

Topic 4: Use Multiplication to Divide: Division Facts

Lesson 4-1: Relate Multiplication and DivisionIt’s Chili in Here
Relating Quotients to Familiar Products
Lesson 4-8: Solve Multiplication and Division EquationsDivision and Multiplication Equations

Topic 6: Connect Area to Multiplication and Addition

Lesson 6-1: Cover RegionsInvestigate: Comparing Rugs
Which Covers More Space?
Lesson 6-2: Area: Nonstandard UnitsTiling Figures
Lesson 6-3: Area: Standard UnitsArea Hunt
Lesson 6-4: Area of Squares and RectanglesRectangles and Arrays

Topic 7: Represent and Interpret Data

Lesson 7-3: Make Bar GraphsPuppy Pile
2, 5, or 10?

Topic 8: Use Strategies and Properties to Add and Subtract

Topic 8 VocabularyInvestigate: Create a Photo Gallery
Lesson 8-2: Algebra: Addition PatternsPanda Patterns
Lesson 8-3: Mental Math: AdditionHow Would You Solve It?

Topic 9: Fluently Add and Subtract within 1,000

Lesson 9-1: Use Partial Sums to AddAdding Your Way
What is an Algorithm?
Lesson 9-2: Use Regrouping to AddUsing Fewer Digits
Lesson 9-3: Add 3 or More NumbersDetermining Sums of 2 or More Addends
Lesson 9-6: Use Strategies to Add and SubtractAdding Strategically

Grade 4

Topic 7: Factors and Multiples

3-ACT MATH: Can-Do AttitudeHamster Homes
Lesson 7-2: FactorsFactor or Multiple?
Lesson 7-4: Prime and Composite NumbersA Number Game
Lesson 7-5: MultiplesFactor or Multiple?
How Does It Grow?

Topic 8: Extend Understanding of Fraction Equivalence and Ordering

Lesson 8-2: Equivalent Fractions: Number LinesInvestigate: Building Your Own Number Line
All Kinds of Fractions
Lesson 8-5: Use Benchmarks to Compare FractionsFraction Strips
Lesson 8-5: Use Benchmarks to Compare FractionsChop It

Topic 9: Understand Addition and Subtraction of Fractions

Lesson 9-1: Model Addition of FractionsPizza Problems
Lesson 9-4: Model Subtraction of FractionsPizza Problems
Lesson 9-2: Decompose FractionsMath Pizzeria

Topic 10: Extend Multiplication Concepts to Fractions

Lesson 10-1: Fractions as Multiples of Unit FractionsEqual Groups of Fractions

Topic 12: Understand and Compare Decimals

Topic 12 Review What You KnowInvestigate: Different Units
Lesson 12-1: Fractions and DecimalsA New Way to Write Tenths
A New Way to Write Hundredths
Lesson 12-2: Fractions and Decimals on the Number LineAre They Equivalent?
What’s the Order?
Lesson 12-3: Compare DecimalsHow Can You Compare?
Robot Factory

Grade 5

Topic 3: Fluently Multiply Multi-Digit Whole Numbers

Lesson 3-5: Multiply 3-Digit by 2-Digit NumbersPartial Products Everywhere
Lesson 3-7: Practice Multiplying Multi-Digit NumbersHow Do They Compare?

Topic 5: Use Models and Strategies to Divide Whole Numbers

Lesson 5-4: Use Partial Quotients to DivideEmptying the Water Tank

Topic 8: Apply Understanding of Multiplication to Multiply Fractions

Lesson 8-3: Multiply Fractions and Whole NumbersMaking Food
Lesson 8-4: Use Models to Multiply Two FractionsInvestigate: Folding Paper
Parts of Parts
One Part of One Part
Lesson 8-5: Multiply Two FractionsMaking Food
Messy Multiplication
Lesson 8-6: Area of a RectangleInstalling Turf
Rows and Columns
Lesson 8-7: Multiply Mixed NumbersApplying Fraction Multiplication
Messy Multiplication
Lesson 8-8: Multiplication as ScalingChores at Animal Haven
The Re-size-inator

Topic 9: Apply Understanding of Division to Divide Fractions

Topic 11: Understand Volume Concepts

Lesson 11-1: Model VolumeWhich is Largest
3-ACT Math: Fill ‘er UpPacking the Barge
Lesson 11-3: Combine Volumes of PrismsPutting It Together
Figures Made of Prisms

Algebra 1

No lessons focused on only shape patterns.

Topic 1: Solving Equations and Inequalities

Lesson 1-2: Solving Linear EquationsWorking Backwards
Solving Strategies
Lesson 1-3: Solving Linear Equations With a Variable on Both SidesSame Position
Lesson 1-4: Literal Equations & FormulasSubway Seats
Various Variables
Lesson 1-5: Solving Inequalities in One VariablePizza Delivery

Topic 2: Linear Equations

Lesson 2-3: Standard FormShelley the Snail
Five Representations

Topic 3: Linear Functions

Lesson 3-4: Arithmetic SequenceMore Visual Patterns
Sequence Carnival
Lesson 3-5: Scatter Plots and Lines of FitCorrelation Coefficient
How Hot Is It?
City Slopes
Lesson 3-6: Analyzing Lines of FitResidual Fruit
Penguin Populations
Behind the Headlines
City Data

Topic 4: Systems of Linear Equations and Inequalities

Lesson 4-1: Solving Systems of Linear Equations by GraphingLizard Lines
Lesson 4-2: Solving Systems of Equations by SubstitutionShape It Up
Lesson 4-5: Systems of Linear InequalitiesQuilts
Seeking Solutions

Topic 5: Piecewise Functions

Lesson 5-2: Piecewise Defined FunctionsCraft-a-Graph
Pumpkin Prices

Topic 6: Exponents and Exponential Functions

Lesson 6-3: Exponential FunctionsCarlos’s Fish
Lesson 6-5: Geometric SequencesRevisiting Visual Patterns, Part 1
Sequence Carnival
More Visual Patterns

Topic 8: Quadratic Functions

Lesson 8-1: Key Features of a Quadratic FunctionRevisiting Visual Patterns, Part 1
Quadratic Visual Patterns
On the Fence
Lesson 8-3: Quadratic Functions in Standard FormPlenty of Parabolas
Two for One
Lesson 8-4: Modeling with Quadratic FunctionsStomp Rockets
Robot Launch
Lesson 8-5: Linear, Exponential and Quadratic ModelsSorting Relationships

Topic 9: Solving Quadratic Equations

Lesson 9-1: Solving Quadratics Using Graphs and TablesStomp Rockets
Lesson 9-2: Solving Quadratic Equations by FactoringParabola Zapper
Shooting Stars
Lesson 9-4: Completing the SquareSquare Tactic
Lesson 9-5: The Quadratic Formula and the DiscriminantStomp Rockets in Space

Topic 10: Working with Functions

Lesson 10-1: The Square Root Function ( & average rate of change)Plane, Train, and Automobile
Lesson 10-3: Analyzing Functions Graphically (Abs, Quad, Sq.Root, Exp, Cubic)Craft-a-Graph
Detroit’s Population, Part 1
Detroit’s Population, Part 2
Lesson 10-7: Inverse FunctionsChip the Robot

Topic 11: Statistics

Lesson 11-4: Standard DeviationFinding Desmo

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Welcome, K–8 Program 2 reviewers!

We’re honored to introduce you to Amplify California Language Arts. We’re confident you’ll find this comprehensive program to be a powerful tool for bringing the vision of the California ELA/ELD Framework to life in classrooms across the state.

Please start with the video on the right to learn how to navigate the program and access key features referenced within our submission. Below you’ll find additional resources to support your review.

Your review samples

We’re excited for you to begin your review of Amplify Core Knowledge Language Arts (CKLA) California and Amplify ELA California, Language Studio California for grades K–8. Physical and digital review materials will vary by grade level.

Reviewer Binders (K–8)

Your physical samples should have arrived in grade-specific boxes with three Reviewer Binders.

  • The first binder will contain logistical program review information and the printed Evaluation Criteria Map.
  • The second binder will contain the printed Standards Maps for grades K–4.
  • The third binder will contain the printed Standards Maps for grades 5–8.

Physical samples (K–5)

You can expect to receive 15 boxes of physical materials for your review. As you begin the process of organizing your materials, please refer to the inventory checklist found inside each box as well as within your Reviewer Binder. Please note you will not receive any physical samples for grades 6–8 ELA or Language Studio for grades K-8. Your review of the program for grades 6–8 ELA and Language Studio for grades K-8 will be entirely digital.

Digital samples

In order to access your digital samples, you’ll need to log in to our platform using your unique login credentials found on a Digital Review Credential flyer inside of your Reviewer Binder. Once you have located the flyer:

  • Click the orange button below to access the platform.
  • Click “Log in with Amplify.”
  • Enter the username and password provided on your Digital Review Credential flyer.

Navigation tips

Before you get started, please review these important functionality notes:

Criteria Map and Standards Maps must be opened on Microsoft Word on your desktop to function as intended. If you open the documents without Microsoft Word on your desktop, citations will be cut off at the bottom of most tables within the document.

Many of our citations are deep-links to PDFs, meaning they will take you to the right page or the first page in the sequence for the citation in question. To ensure this functionality works, please disable any PDF-viewing extensions or plug-ins such as Adobe Acrobat Pro Browser Extension.

[Reviewer program navigation video] Grades K–5

[Reviewer program navigation video] Grades 6–8

Click here for additional information on navigating the digital materials for grades 6–8.

Category 1: English Language Arts (ELA) and English Language Development (ELD) Content/Alignment to Standards

Evaluation Criteria Map

Linked below is the Evaluation Criteria Map for grades K–8. Please note that you will need to be logged into the digital platform to access the links in the Evaluation Criteria Map.

ELA Standards Maps

The links below provide the Standards Maps for Amplify California Language Arts for each grade level. Please note that you will need to be logged into the digital platform to access the links in the Standards Maps.

ELD Standards Maps

Category 2: Program Organization

The Amplify California Language Arts Program 2 submission includes Amplify CKLA California for Grades K–5, Amplify ELA California for Grades 6–8, and Amplify Language Studio California for Grades K–8. This comprehensive curriculum provides a full year of evidence-based instruction for each grade level, with both integrated and designated English Language Development instruction designed to give English learners the tools to thrive.

Program structure

Amplify’s California Language Arts programs are built on what the research shows: Strong readers need both word recognition and language comprehension. Our comprehensive curriculum suite follows the Simple View of Reading and The Reading Rope–bringing together foundational skills and knowledge building to deliver instruction grounded in the Science of Reading.

Flowchart illustrating skilled reading as the product of language comprehension and word recognition, grounded in the science of reading.
Diagram illustrating the interplay between language comprehension and word recognition in reading, as seen in early literacy stages. It highlights pathways through knowledge, vocabulary, and sentence understanding, reflecting principles from the CKLA reading program.

Each lesson follows a predictable structure with clearly marked components, beginning with warm-up routines, progressing through explicit instruction with guided practice, and concluding with independent application activities. The program provides detailed teacher language, including question stems and discussion prompts, ensuring clear and consistent delivery of instruction.

[Reviewer highlight video] Program organization for Category 2

[Reviewer highlight video] Program structure for grades K–2

[Reviewer highlight video] Program structure for grades 3–5

[Reviewer highlight video] Program structure for grades 6–8

Amplify CKLA California empowers teachers to deliver effective instruction and keeps students engaged with with the following resources:

  • Teacher Guides
  • Assessment Guides
  • Authentic texts and trade books
  • Knowledge Image Cards
  • Knowledge Flip Books
  • Remediation and intervention resources
  • Decodable readers
  • Student Readers and novels
  • Student Activity Books
  • Dedicated ELD support with Language Studio California
  • Poet’s Journals
  • eReaders
  • Sound Library featuring articulation videos and songs
  • Instructional routine modeling videos
  • Assignable Practice Games
  • On-demand professional development

Amplify ELA California students stay engaged with the following resources:

  • Teacher Guides that include:
    • Detailed lesson plans
    • Standards alignment and exit tickets
    • Real-time differentiation strategies
    • Robust reporting
  • Student Editions that include:
    • High-quality narrative and informational texts
    • Videos, audio supports, and digital experiences that capture their attention
    • Personal Writing Journal to keep all student writing in one place
  • Dedicated ELD support with Language Studio California
  • Trade Books

Core literacy philosophy

Support every learner. Meet all learning needs with a Multi-Tiered System of Supports (MTSS) that brings together universal screening, scaffolded core instruction, support for English learners, and data-driven intervention to ensure every student gets what they need to succeed.

Provide intentional ELD support. Honor students’ linguistic assets while building academic English through both integrated and designated instruction.

Deliver consistent foundational skills instruction. Daily explicit, systematic skills instruction in grades K–2, with targeted yet flexible support for students still building decoding confidence in grades 3–8, ensures mastery of essential reading foundations.

Build lasting knowledge across all grades. Through coherently sequenced, content-rich instruction that revisits key vocabulary and concepts with increasing complexity, students build meaningful connections that deepen their vocabulary and reading comprehension.

Strengthen reading through writing at every level. Regular writing instruction grounded in the Science of Writing supports reading comprehension, improves sentence-level writing, and provides the foundation for high-quality composition. As students progress through the upper grades, they engage in increasingly complex analytical tasks—synthesizing ideas, drawing generalizations, and interpreting multiple textual layers through both focused quick-writes and comprehensive essays. 

Foster oral language development. Structured opportunities for academic conversation and evidence-based dialogue build students’ ability to express complex ideas with precision and allow them to participate confidently in classroom discussions.

Measure growth with comprehensive assessments. Assessments range from in-the-moment checks for understanding to summative assessments that measure progress toward skills mastery and standards proficiency, providing the data needed to drive targeted instruction.

Scope and sequence

Below you can view the scope and sequence for each grade level. 

Routines

Amplify CKLA California and Amplify ELA California include several structured instructional routines that provide predictable patterns for both teachers and students:

Discussion and collaboration routines:

  • Turn and Talk: Partners discuss text-specific content using sentence starters and frames
  • Think-Pair-Share: Students engage in individual thinking, partner discussion, and whole-class sharing
  • Partner reading: Students sit shoulder-to-shoulder, taking turns reading and listening

Foundational Skills routines:

  • Sound-spelling review: Warm-up activities that reinforce phonics patterns
  • Oral blending warm-ups: Teacher-guided practice progressing to independent application
  • Finger-tapping: Techniques for blending sounds
  • Chaining activities: Students manipulate letters to transform one word into another
  • Word Work: Daily short activities focused on domain-specific and academic vocabulary

Knowledge-Building Routines:

  • Teacher modeling: Demonstration of proper intonation, expression, and pacing
  • Choral reading: Whole-class reading practice
  • Partner reading: Paired fluency practice

Close reading routines

The program includes carefully structured close reading activities that guide students through multiple encounters with complex texts. These routines help students develop deeper comprehension through systematic analysis and discussion.

Each routine includes comprehensive instructional guides with clear-cut directions for implementation, straightforward explanations of concepts, and suggestions for discussion.

Designated English Language Development materials

Language Studio California is a K–8 content-based companion for English language learners. Built on Amplify CKLA California’s and Amplify ELA California’s carefully sequenced Knowledge Domains and units, it combines engaging content knowledge with targeted supports and research-based strategies to help students move swiftly toward language proficiency. This program includes:

  • Real-world content to provide authentic opportunities to practice reading, writing, speaking, and listening.
  • Scaffolding strategies and differentiated instruction to offer targeted support along with five English proficiency levels.
  • Progress-monitoring tools to help teachers provide consistent and effective support.
  • Teacher Guides that:
    • Provide impactful progress monitoring tools including formative and summative assessments and Language Proficiency Assessment rubrics.
    • Offer varied differentiation strategies including Support, Challenge, and Access Supports in each lesson segment.
    • Are organized into thoughtful lesson segments—Talk Time, Building Background, On Stage and more—that make learning objectives concrete.
  • Activities that:
    • Expand on domain knowledge from core content and read-alouds and prompt collaborative conversation to practice oral fluency.
    • Support hands-on language activities to promote authentic interaction in the classroom.
    • Help students bridge experiences and knowledge with images, vocabulary activities, graphic organizers, anticipation guides, writing space, and more.

Category 3: Assessments

Systematic MTSS alignment

In alignment with the additional 2025 Guidance 3.1.a, the assessment systems align with MTSS tiers, including universal screening, diagnostic assessments for students demonstrating a need for additional support, and progress monitoring tools that complement the California’s required universal screening schedule per SB 114.

Tier 1:
Universal/ differentiated support
Tier 2: 
Supplemental/ targeted support
Tier 3: 
Intensified/ intensive support
Core instruction assessments





Frequency of administration
Amplify CKLA California, Amplify Caminos California, Amplify ELA California assessments

Daily, Weekly, Monthly
Amplify CKLA California, Amplify Caminos California, Amplify ELA California assessments

Daily, Weekly, Monthly
Amplify CKLA California, Amplify Caminos California, Amplify ELA California assessments

Daily, Weekly, Monthly
Universal screening assessments

Frequency of administration
mCLASS DIBELS and Lectura


3 times per year – BOY, MOY, EOY
mCLASS DIBELS and Lectura


3 times per year – BOY, MOY, EOY
mCLASS DIBELS and Lectura


3 times per year – BOY, MOY, EOY
Formal progress monitoring assessments

Frequency of administration
mCLASS DIBELS and Lectura



3 times per year – BOY, MOY, EOY
mCLASS DIBELS and Lectura



Monthly
mCLASS DIBELS and Lectura



Bi-weekly
Informal progress monitoring assessments




Frequency of administration
Amplify CKLA California, Amplify Caminos California, Amplify ELA California core assessments

Daily
Intervention Toolkit progress monitoring assessments




When linked to a lesson in the toolkit
Intervention Toolkit progress monitoring assessments




When linked to a lesson in the toolkit
Diagnostic assessment






Frequency of administration
Amplify skill diagnostic assessment

Amplify Spanish skill diagnostic assessment

Optional after universal screening assessment is administered
Amplify skill diagnostic assessment

Amplify Spanish skill diagnostic assessment

After universal screening assessment is administered

Universal assessment system

Amplify’s mCLASS® DIBELS® 8th Edition and mCLASS Lectura are universal and dyslexia screening assessments that should be administered three times per year (BOY, MOY and EOY) to all students. The assessments evaluate student literacy risk, determine progress toward grade-level goals, and indicate the level of instructional  support a student may need. Beginning-of-year screenings require adequate instructional time before administration, particularly in grades K–1, while mid-year and end-of-year assessments evaluate instructional effectiveness and guide tier placement adjustments. These screenings also identify students at risk for dyslexia. Universal screening provides essential data for targeting instruction and measuring instructional system effectiveness.

Core instruction assessments

Amplify CKLA California and Amplify ELA California provide a comprehensive suite of assessments for Grades K–8 that range from low-stakes, informal formative assessments to more formal summative assessments. These assessments incorporate a variety of methods and question types, including multiple-choice questions, open-ended questions, and oral and written responses.

Formative assessments:

  • Checks for Understanding: Incorporated into each lesson segment throughout daily instruction. Quick pulse-checks that provide immediate feedback during lesson delivery (grades K–5). 
  • Daily formative assessments: Highlighted moments within each lesson for teachers to plan to track mastery of Primary Focus objectives and standards of each lesson to get a clear snapshot of individual and whole-class progress (grades K–5). 
  • Activity pages: Completed as part of lessons and can be used to assess lesson content understanding through various formats (grades K–5).
  • Exit Tickets: Located at the end of lessons, these provide a quick gauge of students’ ability to meet the lesson’s focus standards (grades 6–8).  
  • Writing Prompts: Prompts integrated throughout lessons during writing activities that provide skill snapshots within lessons and tracks patterns of skill development over time (grades 6–8).
  • Independent reading activities (Solos): At the end of every lesson, students complete an independent reading activity (“solo”) with reading questions that are scored to measure comprehension (grades 6–8).

Summative assessments:

  • Skills end-of-unit assessments (grades K–2) 
  • Knowledge end-of-domain assessments (grades K–2) 
  • End-of-unit assessments (grades 3–5) 
  • Unit essays: A culminating end-of-unit set of lessons that guide students through crafting an essay with a rubric to score mastery of writing skills (grades 6–8)
  • Unit Reading Assessments: Auto-scored responses and two constructed response items evaluate comprehension, content understanding, and reading skills using the passages students read during the unit (grades 6–8)

Performance Assessments

Student Performance Assessments are multi-day assessments administered in Grades K-5 at the beginning, middle, and end of year to help teachers gauge student mastery of grade-level Core content. These assessments provide critical data to help teachers set targeted instructional goals and monitor individual and class-wide progress towards core objectives.

Progress monitoring

Amplify’s mCLASS® DIBELS® 8th Edition and mCLASS Lectura provide formal progress monitoring in the discrete skills that are indicative of reading growth and predictive of overall success to provide the most instructionally meaningful information to teachers.

Informal progress monitoring tools can be found within the Intervention Toolkit, including materials for teachers to record, track, and evaluate student progress.

Diagnostic assessment

Interventions within Amplify’s literacy programs are informed by a skill diagnostic assessment that provides detailed data on foundational literacy skill deficits. The Amplify Skill Diagnostic Assessment and Amplify Spanish Skill Diagnostic assessment serve as critical tools in this process, administered specifically to students identified as at risk for reading difficulty through universal screening assessments—particularly those demonstrating mCLASS DIBELS 8th Edition or mCLASS Lectura composite scores in the Well Below or Below Benchmark ranges. These diagnostic assessments provide teachers with the precise skills to begin intervention and remediation.

Category 4: Universal Access

Amplify CKLA California and Amplify ELA California were built on the principles of Universal Design for Learning (UDL) and reviewed by CAST, a nonprofit education research and development organization. The program is developed using the Universal Design for Learning framework to proactively ensure that all learners can access and participate in meaningful, challenging learning opportunities.

Universal Design for Learning

The programs incorporate opportunities for engagement, representation, action, and expression based on the guidelines of Universal Design for Learning.

  • Multiple Means of Engagement: The programs incorporate interesting and motivating ways for students to interact with information and content. In Amplify CKLA California, the Universal Access section in the introduction of each lesson provides specific lesson-level options based on the needs of individual classrooms and students. Scaffolding for students with various levels of need is incorporated into the design of each lesson.
  • Multiple Means of Representation: The programs provide multiple means of presenting content to maximize student understanding. This includes digital component files that allow for a range of presentations of images and text to support learning. Amplify provides access to universal supports such as point-of-use audio for all core texts, embedded definitions for critical vocabulary, and glossaries in multiple languages. Amplify CKLA California includes clarification on language found throughout the program, with sidebars that include support on transition words and syntax, and illustrations to help students understand the concepts they are learning.
  • Multiple Means of Action and Expression: The programs include a range of methods for all students, including English Learners, to navigate and demonstrate learning. This includes physical actions, a range of methods for response, appropriate tools for composition, and varied scaffolding. In Amplify ELA California, lessons provide multiple ways for students to interact with text, allowing their brains to process the language through distinct pathways. Activities harness multiple learning modes, using media tools, digital apps, and a variety of visual and physical experiences to strategically support and enhance student learning.
  • Accessibility: Universal access features include visual aids, enlarged materials, physical objects, and multiple learning modalities through activities like Push & Say and Wiggle Cards. The Universal Access section in the introduction of each lesson provides specific lesson-level options based on the needs of individual classrooms and students.

Embedded differentiation

Amplify CKLA California and Amplify ELA California provide built-in differentiation strategies in every lesson for all students.

Throughout the Teacher Guides, point-of-use Differentiation icons provide targeted instructional strategies and supports. These icons indicate specific guidance for advanced learners, students who need additional support, and English learners, allowing teachers to easily identify and implement appropriate scaffolds and extensions during instruction. In addition, teachers are provided with recommendations for resources to use with each group of students.

  • Pre-teaching supports include mini-lessons on:
    • Core vocabulary words
    • Core Connections
    • Essential Background Information or Terms
    • What Have We Already Learned/What Do We Already Know?
  • Differentiated Support for Core Instruction tables, located in the overview of each K–2 Skills Teacher Guide, provide a list of specific opportunities for reteaching and additional support in each lesson based on skill.
  • Support and Challenge Sidebars in lesson margins offer educators immediate guidance in implementing point-of-use differentiation techniques.
  • Flexible Grouping within lessons provides opportunities for teachers to facilitate small groups, partners, or individualized support based on students’ needs. In the Skills Strand, teachers receive specific guidance for differentiated small-group instruction, with targeted support and activities outlined for both Group 1 (students needing additional support) and Group 2 (on-level students) based on data. 
  • Amplify ELA California provides point-of-use supports embedded within key core lesson activities with six levels of differentiation. The goal of these supports is to fully enable access to grade-level content for all students, including students with disabilities, English learners, and students ready for an additional level of challenge.
  • The Universal Access section of Advance Preparation in each lesson includes varied strategies to ensure all students can access and engage in each lesson.
  • Frequent use of graphic organizers and visual supports in lessons provide opportunities for differentiation based on need. The program also includes a variety of technological supports, such as eReaders with audio.
  • Extension opportunities are suggested throughout lessons, often embedded in writing tasks, which include prompts to use more complex and descriptive vocabulary, figurative language,  multi-clause and complex sentences, and  informational text characteristics.

Assessment-Driven MTSS resources

  • The K–8 Intervention Toolkit is available online and provides easy-to-use resources that assist teachers in filling gaps in students’ reading skills, with activities to support print concepts, phonological awareness, phonics, fluency, and other key skills
  • Fluency Packets (Grades 2–5)
  • Foundational Skills Intervention Program for Grades 3–8 support students who would benefit from direct and explicit intervention instruction in the full continuum of foundational skills in the upper grades
  • Flexible Instructional Time including:
    • Pausing Points built into the curriculum that provide teachers with dedicated time to address specific student needs through targeted reteaching, remediation, practice, and extension activities 
    • Pausing Point activities designed to support English learners’ competence and confidence through differentiated whole-group, small-group, or individual instruction
  • Boost Reading is a K–5 student-led digital intervention program. Boost Reading follows Amplify CKLA California’s scope and sequence to reinforce the same foundational skills taught in core instruction. It integrates easily into daily routines, while the robust data provided by mCLASS® DIBELS® 8th Edition offers a detailed view of how students progress across all instructional tiers.

Category 5: Instructional Planning and Teacher Support

Amplify CKLA California and Amplify ELA California teachers are empowered to deliver effective instruction with various print and digital resources. The program provides comprehensive planning and support materials designed to help teachers prepare for and execute lessons effectively and fulfill the requirements of Category 5.

Implementation supports across K–8

Planning and preparation resources

  • Unit Overviews that provide important background and context for the texts students will read, including highlighted elements within the text and guidance for how students will work with those elements
  • Sub-unit Overviews (Grades 6–8) that provide an overview of Lesson Objectives and reading and writing assignments, as well as a list of any projections, multimedia, or digital apps that can be projected from the teacher’s included digital license
  • Lesson-by-lesson preparation checklists (Grades 6–8) accompanying each Sub-unit Overview
  • Lesson Briefs for each individual lesson providing important background and context
  • Content knowledge materials regarding topics that students will examine

Point-of-use instructional guidance

  • Teacher Editions that feature insets of the same text and activity instructions as the corresponding Student Edition, wrapping teacher instruction around these materials
  • Activity guidance at point of use
  • Lesson standards clearly called out
  • Discussion suggestions embedded in lessons
  • Differentiation tips at point of use
  • Detailed Instructional Guides in each activity that include sequencing and grouping suggestions, tips for facilitating discussion, possible student responses and exemplars
  • Student Supports in all core lessons that provide teachers with targeted supports in daily core instruction, addressing which might serve the student best in the moment—support, strengthen, stretch—with additional call-outs for newcomers

Multimedia and digital support

  • Teacher tip videos provide modeling and guidance for implementing key foundational skills routines within the program
  • Digital platform access where teachers can access printable PDFs of differentiated support materials for English learners and students struggling with reading, including translated Unit Background and Context documents and Text Previews
  • Teacher dashboard and reporting tools (Grade 6–8) provide real-time visibility into student progress and work for immediate instructional response

Caregiver supports

Communication and overview resources

  • Caregiver Hub available in English and Spanish that provides an overview of the curriculum
  • Caregiver Letters for each K–2 Knowledge Domain and unit in Grades 3–5 that provide an overview of the content, the skills students learn, as well as practical methods that continue the learning and knowledge building at home
  • Unit-specific Caregiver Letters (Grades 6–8) that provide detailed information regarding what students will read and learn in each unit, including conversation starters that allow caregivers to ask questions and discuss specific aspects of a unit with their student
  • Welcome letters that explain the assessment and placement process while inviting parent involvement and offering support
  • Editable Home-School Communication letters available in English and Spanish
  • Editable Progress Reports for teachers to update parents and guardians on what their child is learning

Content and learning support materials

  • Unit Background and Context documents that provide an introduction and overview to the unit’s topic and themes, available in English and Spanish
  • Text Previews that provide a brief introduction to formative, independent reading assignments (called Solos in Grades 6–8), available in English and Spanish
  • Unit Overview and Support documents (Grades 6–8) designed for caregivers that provide information about important questions, assignments, and key aspects of the unit texts, available in English and Spanish
  • Conversation starters included in Knowledge Strand Caregiver Letters to discuss domain topics at home

Home practice and extension activities

  • Take-Home pages in the Skills Strand that include copies of decodable passages, enabling students to share their reading progress with families and continue practicing their skills outside of school
  • Take-Home Letters in the Skills Strand that provide specific guidance for parents to support skills practice at home, such as sound-sorting activities, with detailed instructions and materials for home practice activities
  • Take-Home pages in the Knowledge Strand that provide suggested activities families can do together to reinforce and extend learning beyond the classroom
  • Games and activities on take-home pages that extend classroom instruction, including all the materials and instruction necessary to help families assist students in a fun and engaging way
  • Digital access to decodable texts through the Amplify Caregiver Hub, allowing students to practice their reading skills both in class and at home
  • Weekly spelling lists and directions to decoding activities that can be practiced at home

S5-02. Uncovering the causes of math anxiety

A blue graphic with text reading "Math Teacher Lounge" in multicolored letters and "Amplify." at the bottom, with abstract geometric shapes and lines as decoration.

We’re continuing our season theme of math anxiety, going beyond the basics, diving deeper into what causes it, and how we can help students move forward. In this episode, we talk to Dr. Erin Maloney from the University of Ottawa to better understand what’s actually happening in the brain when a person experiences math anxiety, and how we can take steps to shift student mindsets in a positive direction.
 
Listen now and don’t forget to grab your MTL study guide to track your learning and make the most of this episode!
 
Enjoy this episode and explore more from Math Teacher Lounge by visiting our main page. 

Download Transcript

Dr. Erin Maloney (00:00):

It’s the anxiety itself in many ways that can cause people to underperform.

Bethany Lockhart Johnson (00:06):

Welcome back to Math Teacher Lounge. I’m Bethany Lockhart Johnson.

Dan Meyer (00:10):

And I’m Dan Meyer.

Bethany Lockhart Johnson (00:11):

This is episode two of our new season, all about math anxiety. Who has it? What is it? What do we do about it?

Dan Meyer (00:20):

I’m learning so much, learning a ton.

Bethany Lockhart Johnson (00:22):

I loved our first conversation with Dr. Gerardo Ramirez, episode one, our first episode of the season. Really, our goal with that conversation was just to—we need to talk about the basics of it, for reals. Like, what is math anxiety?

Dan Meyer (00:36):

What is it? How do you measure it? How’s it defined? Super-helpful stuff.

Bethany Lockhart Johnson (00:40):

There’s not only one way that it’s measured. But it’s like, in active research right now, how are folks making sense of it? And I think Dr. Ramirez did such a fantastic job of sharing that with our listeners. And I learned a lot. You learned a lot, Dan?

Dan Meyer (00:56):

I did. And I’m also super-excited to take that knowledge that we have developed together and go and build on top of it and keep on climbing up up the mountain here, and learn more about math anxiety. Which is why we’re super-excited to have a guest on, Dr. Maloney, who is going to help us learn more—especially about what happens to the brain when it’s experiencing math anxiety. There’s some really complex stuff that happens there, including the role of parents and educators in creating and resolving math anxiety. And I think we’ll also learn that the whole situation is a bit of a hot mess. And we’ll try to make it a little bit less messy together.

Bethany Lockhart Johnson (01:34):

Little bit less messy. Dan, if we do nothing else, can we make it a little less messy?

Dan Meyer (01:41):

I sometimes prefer more mess, but in this case I prefer less. So.

Bethany Lockhart Johnson (01:45):

I have a two-year-old, so everything is a mess.

Dan Meyer (01:47):

Your life is mess. Yes. <laugh> Right. Well, I’m excited for you folks to hear this. It was a delightful conversation, so yeah, tune in. We are joined by Dr. Erin Maloney.

Bethany Lockhart Johnson (01:56):

Let’s go. We are joined by Dr. Erin Maloney, associate professor in the School of Psychology at the University of Ottawa, where she directs the Cognition and Emotion Laboratory, as well as serving as the Canada Research Chair in Academic Achievement and Well-being. Welcome to the show, Dr. Maloney. We’re so excited to have you in the Lounge.

Dr. Erin Maloney (02:20):

Yeah, thank you so much for having me. This is fantastic.

Bethany Lockhart Johnson (02:24):

So our last season was all about math and joy. And even when I read your title, I felt more joyful. Like, somebody is thinking about academic achievement, but with well-being in mind. I love it.

Dr. Erin Maloney (02:39):

Aw, thank you.

Dan Meyer (02:40):

Cognition and emotion!

Bethany Lockhart Johnson (02:42):

E-mo-tion!

Dr. Erin Maloney (02:43):

I don’t think they can be separate. I think that you have to think about them together, ’cause they’re so intricately connected.

Dan Meyer (02:49):

Love that. People try, but we love that. Yeah. That’s our vibe here, too.

Bethany Lockhart Johnson (02:52):

People try. That was a big problem with my math anxiety. They just wanted…there was no room for my emotion. They’re like, stop weeping at your desk—

Dan Meyer (03:00):

It’s rearranging neurons….

Bethany Lockhart Johnson (03:01):

—you’re distracting the other children. So would you mind telling us the story of how you even got interested in this topic? You know, when you tell people that you study math anxiety—or, actually, I don’t know how you describe it to them; I’m hopeful you bring in that well-being part—but how did you get here? What do you, what do you, what do you…yeah, tell us! We love it!

Dr. Erin Maloney (03:23):

<laugh> I feel like what you’re actually asking is, “How did you make life choices that got you to here?” <Laugh>

Bethany Lockhart Johnson (03:29):

Justify your life choices! Ready? Go!

Dr. Erin Maloney (03:32):

<laugh> Whoo. OK. So, all right. So we often, in psychology, we joke that instead of doing research, we do “me-search.” And that’s, that’s admittedly true in my case. I was a student who absolutely loved math up until about eighth grade, and then something changed, and all of a sudden I was terrified of math and I had absolutely no sense of self-efficacy in it. Despite trying really hard, I was extremely anxious about it. And so I initially, I set out…my parents were completely convinced that I was absolutely capable of doing mathematics and that I was getting in my own way. And when I went to university, I decided to prove them wrong. So I set out to prove that some people just can’t do math, and that’s the end of it. And, you know, 20 plus years later, my parents were right. And it turns out that many people—well, I would argue virtually everyone—can do math. And that if you are really anxious about it, it can get in the way. And interestingly, you know, in, in the years that we’ve been doing this research, there’s really good strategies that can be used—that hopefully we get a chance to chat about—that can really help reduce the amount of anxiety that students are experiencing. But I really did set out, like the bold teenager that I was, to prove my parents wrong. And that backfired <laugh>. So I know it’s kind of a strange answer, but it’s the truth. So I was really interested in understanding why it was some people just could not do math.

Dan Meyer (05:10):

That makes two for two so far, on guests for this season who did a version of me-search. And I feel like this is pretty common for a lot of researchers. Like, I wanna figure out…my experience as a teacher, the part where you, I think, diverge from a lot of people I knew in grad school, myself included, is that you actually let counter evidence change your perspective on things. Whereas I feel like a lot of us go in: “I know this is true and I’m gonna gather data!” and lo and behold, I’m true! But only now, with the research TM, you know, trademarked research, attached to it. So that’s, really exciting. Thanks for sharing that.

Dr. Erin Maloney (05:43):

No, you’re welcome.

Bethany Lockhart Johnson (05:44):

But don’t people say that the more personal you get, the more universal it is? Right? So if you go and get your doctorate about something that you think is just your experience or in your brain, then people are gonna be gonna be like, “Wait a second; you think that too?” “Wait, that math anxiety isn’t just you?” I don’t know, it sounds like a pretty great path to me. When you tell folks that you study math anxiety or when you’re speaking to folks about your research, do you find that there is a lot of folks who relate to what you’re studying? Or how does that conversation typically go?

Dr. Erin Maloney (06:20):

Yeah, so it is I think an extremely relatable topic. Not in the sense that everyone experiences anxiety about math, but everyone seems to know somebody who’s really anxious about math. Or everyone’s at least aware of the stereotype that like some people are math people and some people aren’t, and that’s just the way it is. So it feels like everyone has feelings about math and everyone seems very happy to share those feelings. So one thing I’ve always found really interesting, and actually, so I, I know you mentioned that you had Gerardo on recently. Gerardo and I have had really interesting conversations about how people are really quick to tell you that they hate math and they can’t do math, and they’re anxious about math. And I’ve yet to have anyone ever tell me they hate reading, they can’t read, they’re really anxious about reading as an adult. So for some reason math seems really different. And in that sense people always seem to be pretty excited to talk about their feelings towards math.

Dan Meyer (07:23):

Yeah, definitely. Been on an airplane or two myself and had those conversations. You know, people asking to be reseated because they found out that I do math for a living or whatever. Or just unburdening themselves, for sure. I’m super-curious: I think that the fact that you are doing the me-search is reason enough to want to dedicate your life to this study. But I am curious: If you were gonna justify to someone else, why is math anxiety important to study? What are its consequences, even outside of math education? What would you say to that?

Dr. Erin Maloney (07:57):

So I think it’s probably not hard to convince people that success in math is important, right? So we know that children who start elementary school behind in mathematics tend to stay behind in mathematics, unless they have any kind of very targeted intervention. We know that children who do worse in mathematics throughout K to 12 education in general get lower-paying jobs when they’re older. We also know that when they do worse than mathematics relative to their peers, there’s fewer jobs that are open to them, relative to if they excelled in math. Right? And so I think in many ways there are really clear consequences for students who are not comfortable with math and who avoid it. But I think one of the really, really interesting things about math anxiety, and maybe part of why I’ve fallen in love with it as a research topic is that it’s the anxiety itself in many ways that can cause people to underperform. So it’s not just the case that people who are bad at math are anxious about it. It’s actually that the anxiety itself can cause you to do worse in math. And that for me is really exciting, ’cause it means that if we can change your mindset, then we can really set you on a path with several more options available to you career-wise. And I think that is really empowering.

Dan Meyer (09:18):

Hmm. Yeah, definitely. And I’d love for you to explore — your laboratory is the cognition and emotion laboratory, which I love, how you’re creating those linkages between how you feel about a thing and what your opportunities or your aptitude for learning it. I’m really curious, can you say more about the, the relationship there? How does feeling anxiety impair your ability to do mathematics?

Dr. Erin Maloney (09:41):

Yeah, so feeling anxiety, typically what you tend to experience is these negative thoughts and ruminations. So you can imagine, you’re somebody who doesn’t really love math, you’re pretty anxious about it; you know, Bethany, maybe you’ve had this kind of experience before. I’m gonna call you out on it. I’ve had it many times, where you sit down to do a math test and all of a sudden you’re not focusing on the actual math test in front of you. You’re focusing on things like the consequences of not doing well on this. Right? Or “my parents are gonna be really disappointed if I don’t pass this test,” or “my teacher is gonna think negatively negative of me,” or sometimes we see things like, “I’m a girl, girls don’t do math.” These types of stereotypes. And what happens is that those thoughts actually tie up really important cognitive resources, like, really important memory resources, that you need to do the math test. And so if you are trying to essentially do two things at once, right? You’re trying to deal with all these negative thoughts that are distracting you and you’re trying to do the math test, then you’re not going to do as well as someone who’s sitting down and doesn’t have all of these distracting thoughts to deal with. And we actually know that from research that we have in our lab right now, where we just ask people like, “Hey, when you did this math test, what kind of stuff are you thinking about?” what we find is that the people who are really anxious about math report a whole bunch of thoughts that are unrelated really to the math test, per se. It’s more about the consequences of doing poorly. And as a result of those thoughts, they actually end up doing worse.

Dan Meyer (11:14):

This has been really helpful to figure out, how the emotional state of doing math affects the ability to do math. And it’s really interesting how you’re saying that the direction of the causality can go from the emotions to the cognition. And I’m just curious then, what is the source of the bad emotions about math? Where does that come from? Is it nature? Is it nurture? Some combination? How do you see it?

Dr. Erin Maloney (11:39):

Yeah, so one, that’s a fantastic question. And there’s been a whole bunch of people all around the world that have been spending a lot of time really trying to pinpoint that down. And I think the answer is that it’s, you know, it’s complex. So most of what it’s looking like right now is that it is a combination of both. So essentially what we find is that kids who start elementary school who are a little bit behind in math—and for the question of why they’re behind, that’s also complex; it could be genetics, it could be just environmental input, before the child ever entered formal schooling kind of thing—but in essence, what we find is that kids that start school behind in mathematics, those are the children who are most likely to develop anxiety about math by the time they’re finished first grade. OK? But we also know that once they’ve developed the anxiety about math, then that’s when they get these thoughts and ruminations that kind of tie up those memory resources, that then is gonna make it harder for them to succeed in math tests. So you get into this sort of vicious cycle, right? Where maybe you start behind a little bit and then you develop the anxiety, the anxiety causes you to underperform relative to what you should be able to, so now you’re even further behind, you get more anxious because you’re not doing as well as you’d like to…but again, kind of coming back to the “Why are the children starting behind in the first place?” Some of that seems to be the role that parents are playing in the household. So some kids come from a household where parents are playing a lot more math games with them, talking about mathematical concepts on a regular basis. Maybe they have older siblings who are, you know, practicing arithmetic and, and mathematical processing in front of them. And so those kids are exposed to more math before they ever even start formal schooling. Those kids seem to do better. And then we also know that the parents’ attitudes matter a lot too. So what we find is that when parents are high in math anxiety themselves, especially when they help their children a lot with their math homework in really early ages, we find that those kids end up being more anxious about math by the end of the school year, and they also end up doing worse in mathematics. So it really does seem to be, you know, kind of a complex set of factors that have something to do with both maybe genetic predisposition to success in math and genetic predisposition to anxiety, but then also the social attitudes and stereotypes about math to which you’re exposed at home that really seem to be coming together to create this anxiety in young children.

Bethany Lockhart Johnson (14:24):

I feel like everything you’re saying is <laugh>…it makes so much sense and yet it’s so often not talked about, right? Because it’s just more like, it gets boiled down to, “Oh, they’re just not a math person,” instead of all these other factors that are at play. And I completely remember the anxiety I felt, whether it was a test or not, walking into my math classroom when I was in ninth grade. And there’s no way I was set up and ready to learn. Right? <Laugh>. And something with—we mentioned Dr. Ramirez, he was talking about validating that anxiety. If teachers validate that like, “Oh, you know what, sometimes you might feel stumped, or this might feel overwhelming.” Even the power in creating space for that in the classroom, right? And acknowledging that it doesn’t—math doesn’t have to “come easy” to you in order for you to have access or make sense, is such a powerful concept. And I love the way that you are looking at all these different factors and saying, “Hey, it’s both simple and also a lot more complicated than we’re we’re making it.” Right?

Dr. Erin Maloney (15:36):

No, and I agree with that sentiment so much. Like, I think, though—one thing I will sort of caution is that I think when teachers are validating the anxiety, or when parents are validating the anxiety, I think there’s a very fine line that needs to be walked where we need to be able to say, you know, “It’s OK to struggle with something. That’s, that is completely OK.” And as we’re, you know, as we’re working towards something that’s really valuable, right? We can, we can work hard at something and by working hard at it, we’re going to get better. And I think that type of validating is really, really important and valuable. I think what we wanna be careful of is not to say things like, “Oh, it’s OK. I also never loved math.” And, you know, “Oh, I was never a math person either.” And so even though we might be bringing comfort to the the child, I think that that’s sending the wrong message. And so sometimes it’s really well intentioned and really not great—

Bethany Lockhart Johnson (16:37):

A hundred percent.

Dr. Erin Maloney (16:38):

—in terms of the messaging. So that’s the only…so just for people listening, the only sort of caution that I would give there is that I think there’s nuances to the validating of the feelings that are important.

Bethany Lockhart Johnson (16:50):

I am so glad you said that because as a kindergarten teacher, I vividly remember—and this is as early as, you know, the kids are five years old, right?—and I remember in a parent-teacher conference, a parent saying, “Oh, I wasn’t a math person either,” or, “Oh, no, ugh.” And they were so quick, like you said, they wouldn’t say that about reading, but they were so quick to talk about their lack of natural math aptitude, right? And, and it was really interesting because you know that even if they’re not saying that specific thing at home, those attitudes are absolutely carrying over at home. And they’re absolutely carrying over to, to how they interact with their kiddo around math and around what’s happening in the conversations about math. And I felt like a lot of times my work as a teacher was also to help support parents through their own math anxiety, and help give them some new language for how they can talk about math. And that math is more than just getting to an answer quickly. Like, let’s talk about, let’s go on math walks, let’s go on number walks, what numbers are around the home? Or oh, is that bigger than this? Do you have more of this? And even those little things, I, my hope was that it was starting to shift the conversation around what math was possible in the home, particularly when you saw that it was the parents who had palpable math anxiety. Right? And how much you know that that’s gonna impact what’s happening when you sit down to do homework together.

Dr. Erin Maloney (18:22):

Yeah. And I love that you have worked to encourage parents to do that. So we do similarly. Like even from a research perspective, where I will often give talks to parents and teachers and we talk about the idea of trying to mathematize everything, right? So just the idea that math is absolutely everywhere, and you know, whether it’s a matter of playing games in the car with your kids where you’re thinking of a number and it’s “My number is higher than 42, but lower than 80, and what number do you think I might be thinking of?” And, and gradually trying to get the child to that number. Or, you know, asking questions like, “What’s your favorite even number and why?” And just little things like that that, that I think can make math fun for kids, that help—I don’t even know how to explain it, but just that idea of bringing joy into it, so it’s not always this heavy subject that kids have to come to. So we definitely try to talk to parents about the idea of, like I said, mathematizing everything. And usually it’s well-received, ’cause often parents find it empowering, right? They’re like, “Oh, well, I could do that! But like, that’s not math!” And you’re like, “No, but it is.”

Dan Meyer (19:33):

Yep.

Dr. Erin Maloney (19:34):

Like, it is! And sometimes parents will say like, “Well, I don’t know how to do fractions.” And you’re like, “OK, but how do you bake?” “Well, I don’t know! I just, like, I know how to do those fractions!” And you’re like, “OK, but that’s the starting point. Let’s work with that.” Like, let’s, you know. And I think a lot of times, it’s reminding the parents that they’re actually far more capable than what they think they are, despite the fact that maybe they struggled with math when they were younger.

Dan Meyer (19:58):

Yeah. This is so interesting. And I feel like part of the challenge around conversations about anxiety and math and how to, how to resolve it and where it comes from, is that it, like, it presupposes a single definition of math. And so, you know, we’re talking about like how to be more mindful about math. But you know, like if kids were walking every day through a treacherous street, you know, the solution might not be become more mindful about that street. It’s just like, we gotta fix the treacherous nature of the street, really. You know, I love that we’re talking also about redefining what math is, making it more playful. That feels like a super-important component here. I’d love to know more about what you know about the role of gender in all of this. Are there differences in the way boys and girls experience math anxiety and how it relates to achievement in math?

Dr. Erin Maloney (20:48):

Yeah, so, there’s really, really interesting research on gender in math anxiety. So in general, we find that girls tend to experience more anxiety about math than boys do. So one hypothesis is that it has to do with just social stereotypes that, you know, girls are, are good at reading; boys are good at math, kind of thing. So there’s some evidence to suggest that that might be playing a role. There’s other evidence to suggest as well that maybe boys actually do experience as much anxiety, they just don’t really own up to it.

Dan Meyer (21:20):

Ooh, yikes.

Dr. Erin Maloney (21:21):

So thoughts are, you know, there’s a bit of an apprehension for males to admit experiencing the anxiety. But I think one of the things that is extremely interesting about it—at least to me—is that we don’t tend to see gender differences in young children. So in early elementary school, even though we’ll see that kids as young as six years old will experience anxiety about math, and that that anxiety is related to how well they do in math and how much they enjoy math, it doesn’t seem to vary as a function of gender at that young age. It doesn’t seem to be related to gender until kids are at about sixth, seventh grade that we really start to see this gender difference coming online. And so that, to me, suggests that it’s probably something more social than biological at play. It probably has something more to do with these stereotypes and stuff. But another really interesting—or at least, I’m biased, but to me—another really interesting line of research that comes into play—and some of this is stuff out of my own lab—so we know that boys in general tend to do better at spatial processing than girls. And we know that spatial processing is really important for math, right? So math and space are pretty connected. And by spatial processing, I mean things like being able to picture something rotating in your mind or, you know, envisioning how these puzzle pieces might fit together. And so we know that boys tend to do better at that type of processing. And the gender difference there seems to be related to gender differences in math anxiety. So there’s some speculation, too, that it might be that as the math starts to become more reliant on spatial processing, that that’s when we see this separation between boys and girls with respect to how much anxiety they feel about math. So a lot of this is to say, I think the answer to the gender question right now is what I think what we would officially call a bit of a hot mess, <laugh> where I think there’s probably more questions than answers. But I think that there’s definitely something going on. And it really seems to be coming on later in elementary school.

Dan Meyer (23:32):

That’s a refreshingly honest admission from a social scientist, that it’s a hot mess and not perfectly clear, <laugh> so I appreciate that. It’s interesting what you said about the spatial reasoning. In our work creating curriculum at Amplify, I find we lean a lot on trying to tie abstract math towards spatial topics. Like, can you estimate a quantity before you calculate it? Can you identify a pattern and where it breaks before you prove it abstractly? And, I dunno, it’s just interesting to me. I’m just thinking out loud about how I feel like math becomes more abstract rather than more spatial. The farther you venture into secondary math…I’m wondering if I misunderstand what you’re meaning by spatial, and the progression of math from K–12.

Dr. Erin Maloney (24:20):

Yeah, so I think you can still have—you can have math be abstract, but still really relying on spatial processing. Right? And I think part of that is maybe a bit of us having different definitions of when we say “spatial.” So in cognitive science, when we talk about spatial representations or spatial reasoning, it’s really like anything you’re picturing in your mind, any time you’re really picturing these things in your mind and manipulating those images at all. So if you imagine, even like at a simple level, but it’s gonna hold when you’re going more complex as well. So doing like equivalence problems, for example, where you have to balance the equations.

Dan Meyer (24:58):

Yeah.

Dr. Erin Maloney (24:59):

Even just being able to envision things kind of moving around that equal sign and bringing one piece of the equation from this side to the other is actually an extremely spatial kind of reasoning. Right? Or when you’re expanding, that’s actually extremely extremely spatial, despite the fact that it might not feel like it initially. Obviously anything in geometry is going to be very spatial. So I think, in that sense, we would argue that the spatial processing is still playing a pretty important role. But it’s maybe a different type of spatial processing than what we’re seeing at a very early level in elementary school. That said, you can completely disagree with me too. ‘Cause I could also just be wrong, and that’s fair. My kids tell me I’m wrong all the time. So I’m used to <laugh> being told that I’m wrong.

Dan Meyer (25:47):

Well, we’re a bit more deferential on this here show, with our guests. So I would not do that. But it makes sense, what you’re saying about how these are things that you manipulate in your mind, whether they are Xs and Ys or numbers and fractions. These are all things that we manipulate. That ties into differences in this spacial reasoning category, it sounds like, which then contributes to math anxiety. And it does start to feel like there’s a lot going on here, is what it feels like.

Bethany Lockhart Johnson (26:14):

You mean hot mess?

Dan Meyer (26:16):

I meant hot mess.

Dr. Erin Maloney (26:17):

Yeah. <laugh>, I think that’s the technical term, right? I’m pretty sure that’s the technical term for it.

Dan Meyer (26:21):

I didn’t know the citation for it. So I didn’t say it. But I knew who in literature named that. But yeah.

Dr. Erin Maloney (26:28):

I’ll write something at some point.

Dan Meyer (26:30):

We’ll cite Maloney, 2022. Yeah. Yes.

Bethany Lockhart Johnson (26:34):

So I will say that one of my dreams in thinking about this season and last season, but particularly this season, since we’re really getting to talk to some researchers who get to think about this, and have really interesting conversations about it all the time…one of my dreams is that we’re bringing—’cause we do have some folks who are researchers that are listening, right? But then we also have teachers and folks who are in the classroom every day, and parents and caregivers listening. And so I think one of the beautiful things about the way that I hear you talking about it is you’re thinking about the research, but it’s so applicable. Right? And I wonder if there’s anything else you can say around it. I wanna reduce that divide, that gap, between the research that’s happening and then what’s happening with the kiddos and in the classroom and at home. And I don’t know if it’s like a magic wand thing where like <laugh> if there were changes you’d wanna see at a societal level, to try to combat math anxiety, but you see where I’m going. You know, it’s like <laugh>….

Dr. Erin Maloney (27:39):

  1. So I’m gonna answer maybe in two ways. So I think the first thing that I’m hearing from you is that idea of diminishing this divide, right? And so one thing I try to keep in mind, as someone who’s a researcher and working in the lab, I will often be called in to talk to teachers and give professional development sessions. And they often want the sage-on-the-stage academic, that stands up there and tells you the answers to things. And one of the first things that I’m gonna admit when I get up there is, “I am not on the front lines.” So what I do in the lab, for me to tell you that that’s gonna work in a classroom of 30 kids who may or may not have eaten dinner that day, and may or may not have snow pants, and may or not…like it’s–

Bethany Lockhart Johnson (28:23):

Mmm, yes.

Dr. Erin Maloney (28:24):

You know, I think we also need to be a little bit reasonable. So I try really hard in my own program of research to make sure that I’m always talking to teachers and to principals and to curriculum designers to make sure that the ideas that I have make sense. In fact, one of the most recent book chapters that I wrote, I wrote in collaboration with a really good friend of mine who’s a principal, an elementary school principal, and a former math consultant. And we wrote it together, to really say like, “Hey, here’s how we can help each other inform how research can inform practice and how practice can also inform research.” ‘Cause he can come to me and say, “I’m doing this. I can’t find anything in the literature to support this, but I’m sure it works!” And we can design something in the lab to test whether or not it seems like it’s gonna work.

Bethany Lockhart Johnson (29:11):

That’s huge. Yeah.

Dr. Erin Maloney (29:12):

Empirically. And so I think that open communication is massive. One thing that we’re doing in my own lab to try to keep that open communication available. So to anyone listening who’s ever tried to get access to a journal article, they’re held behind paywalls, right? So one, the way it works, my understanding of this anyway, is that the journal owns the formatted version of the paper. So what we do is we put up audio recordings of all of the research papers that we ever publish. So I’m pretty sure I own the words as the author, and the journal owns the prettified version that you can buy. So we audio-record all of our papers, so that if teachers or parents ever want to hear the actual science that’s going into some of these decisions, they have access to at least the stuff that we do in our lab. And we also put up an infographic for every paper, just highlighting kind of the main questions and main findings. And we do that because I think that the only way for the information to actually be useful is if it gets into the hands of the stakeholders that actually need that information.

Bethany Lockhart Johnson (30:21):

And is accessible. That’s huge. That’s huge!

Dr. Erin Maloney (30:24):

Yeah. Yeah. So that’s one way that we try to do it. And like I said, the other thing, we try to always be working with principals and with teachers. I joke that the way that I remedied this in my own life…so my husband’s a teacher; it’s like, I just married one! It’s fine! <laugh> I can grill him on a regular basis, and be like, “I wanna try this experiment. Do you think it’s gonna work?” And he can say, like, “It’s not going to. Here’s why.”

Dan Meyer (30:47):

That’s awesome. Marrying a participant—you know, a research participant—is unethical, of course. Would not clear IRB. But turning your partner into a participant? Like, what are you gonna do? That’s great.

Dr. Erin Maloney (30:57):

Yeah, no, that’s fair game.

Dan Meyer (30:58):

Yep.

Dr. Erin Maloney (30:59):

Yeah. So that’s—I think we we compensate each other <laugh>. So, no…so I do joke a little bit about that. He was a teacher simply ’cause he wanted to be one. Not ’cause I needed him to be one. But, I think that communication part is, is really key. That’s one thing. Then the other part of the question or the other sort of piece of the question that I was hearing is that idea of, how do we fix math anxiety. Right? Like, what’s the great, “I’m glad that there’s a whole bunch of time and effort and energy going into trying to understand this, but what, where are we at?” And I think with that, it’s really, really promising. So there’s been a lot of research coming out looking at how best to help children or even adults manage their own anxiety about math. And there’s a few really interesting strategies that seem to be quite effective. So one, and I don’t know if—um, it feels weird calling him Dr. Ramirez, just ’cause I know him well!—but I don’t know if Dr. Ramirez would’ve talked about this when he chatted with you, but he has some really interesting work on expressive writing. Did he chat about that at all?

Bethany Lockhart Johnson (32:07):

He didn’t, but I’ve read some of his work about it and I think it’s so fascinating.

Dr. Erin Maloney (32:11):

Yeah! So, OK, well, I’ll tell you about his work on it.

Bethany Lockhart Johnson (32:13):

Yes, please. Please.

Dr. Erin Maloney (32:14):

Because it’s super-useful. So when we talked about that idea of how anxiety causes these thoughts and ruminations, and they tie up the memory resources that you need, what Gerardo has found is that when you get students to write about their anxiety for about 10 minutes before they do a test, what ends up happening is they end up doing better on the test, relative to if they would not have written about their anxiety at all. And this is particularly true for students who are really high in anxiety. OK? And the idea is that all of those thoughts that they were going to have about the test or the consequences of the test, et cetera, you just kind of get ’em…it’s like a mind dump where you get ’em all onto the page at first before you even go to do the test. And now when you go to do the test, you’re not having to do two things at once. You’re no longer dealing with these thoughts ’cause you got ’em all out on the paper beforehand. And so Gerardo has some really interesting work showing that that works for math anxiety. And then it also works for just testing anxiety in general. And so that’s a strategy that I love. I also—part of what I really love about it is it’s so low-cost, right? You need a paper and a pencil and it’s great. So those are always my favorite strategies, the ones that don’t really cost us anything. So that’s one way of dealing with like the cognitive part of the anxiety. The other thing you can do is try to deal with the anxiety part of the anxiety. So for that, what we find is that the typical strategies that you’re gonna see for anxiety tend to work for math anxiety. So things like focused breathing. Right? Making sure you’re doing deep inhales and exhales. That really diaphragmatic breathing seems to be quite helpful. We know that what we call progressive desensitization is really key. That’s the idea of doing things, you know, starting with the questions that you know how to handle. And then gradually working up to the more difficult questions. So you’re sort of gradually exposing yourself to the more complex stuff. And how that can play out on an actual test at school is, you sit down, and instead of just starting with question number one, you actually read the whole test, see which questions you feel like you know the best, start with those questions, and that helps build your confidence so that you’re better able to tackle the questions that are maybe a little bit outside of where you’re currently at. So that seems to be really helpful. The other part that I will say, too, that’s extremely helpful: So we know that anxiety really ties up those memory resources. And so the more you can make the math automatic, the more immune it’s going to be to anxiety in the moment. And so I know that this part can be a little bit controversial, because we don’t wanna necessarily demotivate children, and kill the enthusiasm for math that we’re trying to cultivate…but really, you know, really committing your arithmetic facts to memory can be extremely helpful. So really learning those times tables, really learning your addition and subtraction facts. ‘Cause what happens is, then when you’re in a situation where you need that information, even if you’re anxious and you’re working with fewer cognitive resources than what you would normally have, you actually don’t need that many cognitive resources to be able to pull something from memory that you’ve memorized. So it really helps to kind of protect you against some of the negative impacts of the anxiety while you’re doing that test.

Bethany Lockhart Johnson (35:37):

And you’re not using all your cognitive resources to figure out seven times eight, because you can really focus on what you’re trying to do with that. Oh, that’s fascinating. Yeah. Yeah.

Dr. Erin Maloney (35:47):

Yes. No, a hundred percent right. And so I know that’s one that, like I said, I know it can be somewhat controversial because it’s…you know, we’ve talked about—or we haven’t talked about in this conversation, but we often talk about—the idea of drilling and killing. Right? So you drill the facts, you kill the, the enthusiasm. But I think that there are ways that we can drill arithmetic facts, or help make them automatic, but still fun, right? It doesn’t have to always be in a high-pressure kind of way.

Bethany Lockhart Johnson (36:16):

Totally. And we’ve talked about fluency, and I’m sure we’ll talk about it more in the Lounge. And that is interesting, that link between anxiety when the fluency isn’t there, that—or, of course we hear about anxiety with timed tests, but the idea of that IS something you can do to reduce it, because you have those facts just at your ready. Right?

Dr. Erin Maloney (36:37):

Yeah. So I actually, again, I’m gonna be a little bit controversial. So I don’t hate timed tests in the way that a lot of people do. But I love time to practice. So I think once we’ve got to a point where children have a fairly decent understanding of skills, of a skill, once they’ve got a fairly decent grasp on it, then I love the idea of the timed practice. So it can be still in a low-pressure situation, where in many ways it doesn’t matter if you get the answer to the question correct. But we’re practicing doing it in a situation in which you might be feeling a little bit of pressure, but it’s not real pressure, if that makes sense. And I think that can be really, really useful for students. And again, it can be done in a fun way, right? It doesn’t have to be these super-intense ways. It can be fun. But I think that in life there are situations in which the time that it takes you to complete a problem matter. And I think that we have to make sure that we don’t get too far away from that.

Dan Meyer (37:40):

Yeah. It feels like we should do an entire other episode thinking about ways to develop that fluency and automaticity that don’t contribute to anxiety, or create further disparities between people who are high math anxiety and low math anxiety. Not a small question, I’m sure. And I appreciate you alluding to all of that. You know, this whole thing, as you said, is quite the hot mess. And I feel like you, Dr. Maloney, have helped us make this a little less messy, in our heads, and hopefully the listeners’ heads. I really appreciate that. I just love…you’ve mentioned lots of resources that you have. You’ve alluded to them: audiobook-style readings of your research, which I need ’cause I just finished, you know, Harry Potter, the seventh book, so I need a new thing to listen to like that. Also infographics. Can you tell our listeners where they can find this work of yours, and if there are any other kinds of resources that you wanna plug for our listeners here?

Dr. Erin Maloney (38:32):

Yeah, for sure. So all of our resources can be found on my lab website. So the address for that is www.ErinMaloney.ca. So there we have, like you said, the infographics and the audio articles and all that stuff. And then we also have a link to a new kids’ book out, actually, that a colleague of mine and I have published recently, that really walks through some of these strategies on combating math anxiety. The book is written as a children’s book, so it’s Peyton & Charlie Challenge Math. But it secretly is a book that would also work for adults. So if you are a parent that’s a little bit anxious about math, or a teacher that maybe is a little bit anxious, and you wanna see how some of these strategies can play out, in that book—we linked to it on the website, but it is available for purchase on Amazon. And the one thing I will say about the book, ’cause this is something that we were pretty proud of, so Sheri-Lynn Skwarchuk, who is a school psychologist, and I wrote the book. And it’s available for purchase at our cost price, so we don’t actually make any money on the book. It was literally just a way of getting some of the science out to people who might be able to benefit from it.

Bethany Lockhart Johnson (39:45):

Reducing that divide!

Dr. Erin Maloney (39:46):

Yeah, well that’s what we’re trying to do! Right? So I think in the U.S., I think it’s like $6 on Amazon. And then in terms of other resources, we’re in the process right now of creating some informational videos and and stuff like that that hopefully will be useful for parents and for teachers, just in terms of understanding a little bit more about the anxiety and understanding how to deal with the anxiety in the classroom more, at home or wherever it might be coming up.

Dan Meyer (40:15):

Well, thanks so much. I really appreciate—we appreciate!—you coming on, and hearing about how you’re trying to bridge so many different barriers from research to practice, and school to home. It’s just really inspiring. And we’d love to have you back on sometime. So thank you so much for joining us.

Bethany Lockhart Johnson (40:29):

I feel like we’ve just hung out! Don’t you, Dan?

Dan Meyer (40:31):

Are we rolling here? Oh my gosh, we’re rolling. I just thought we’re just hanging. Yeah,

Bethany Lockhart Johnson (40:34):

I thought we were just hanging!

Dr. Erin Maloney (40:36):

I know, I do, I really appreciate that it has a very kind of chill vibe to it.

Dan Meyer (40:41):

Chill vibe. Like a lounge.

Bethany Lockhart Johnson (40:42):

It’s the lounge!

Dan Meyer (40:43):

Thank you. You get us; you get us. <laugh>

Bethany Lockhart Johnson (40:45):

Dan Meyer. I was shopping for children’s books, and there was this book, and it was talking about being at home with Mom. And it’s going through all the things that the child did that day with Mom. It’s like, “We played outside, we ran through the sprinklers, we even did some homework.” And it shows them sitting at the table with the homework, that’s clearly math homework, in front of them. And the mom is like, “Harrumph!” Like a very perplexed, anxious face. And there’s all these question marks above her. And it’s just like,

Dan Meyer (41:24):

“There should not be numbers on that paper!”

Bethany Lockhart Johnson (41:25):

Exactly. And the child is like, “Ohhhh,” you know. And I mean, I have to give credit to the illustrator, because they really did capture the clear message of this interaction, which was sitting down to do math homework or think about math together is a source of angst. Right? According to this author and according to too many people. And so I think what’s really important is that we recognize those images when we see them out there and speak back to them, and say, “Hey, wait a second.” Yeah, it can feel like that, and it doesn’t have to. And what’s going on that that’s just the assumed way that it’s gonna feel, to sit down and math together. You know?

Dan Meyer (42:11):

Yeah. It feels like we all have a lot of work to do on the whole math-anxiety front. Dr. Maloney helped us see how parents play a part, educators play a part, society and how they create people plays its own part in how we all define math as a thing where we evaluate student thought or where students play it with their thoughts, has its own huge part as well. So yeah, it was a really fantastic conversation with Dr. Maloney. I hope you folks will check out the show notes, where you will find links to Dr. Maloney’s website. A lot of her work, which as you heard, is very geared towards practitioners and parents and even directly at kids, especially the new children’s book she co-authored, Peyton & Charlie Challenge Math.

Bethany Lockhart Johnson (42:55):

Next time we’re gonna dive even more into the nitty gritty of combating math anxiety. To do that, we’re actually gonna be joined—I am so excited about this—by Dr. Rosemarie Truglio from Sesame Workshop.

Rosemarie Truglio (43:09):

Our core audience are two- to four-year-olds, and they love math. And what’s not to love? Children don’t come with this math anxiety. Math anxiety is learned.

Dan Meyer (43:23):

So excited.

Dr. Erin Maloney (43:24):

Sesame Street was a huge part of my childhood and my toddler doesn’t know it yet, but Sesame Street is coming. It’s coming. Like, we’re we’re gonna introduce Sesame Street to him. We just haven’t yet.

Dan Meyer (43:37):

Sesame Street straight raised me.

Bethany Lockhart Johnson (43:38):

Right?

Dan Meyer (43:39):

Yeah. Don’t tell my parents. But that’s, yeah, that’s true. I’m excited, too. It’s gonna be a blast.

Bethany Lockhart Johnson (43:45):

I’m really excited. I think that the more we dive into this topic—which, again, we’re gonna look at math anxiety from a lot of different angles—and I’m excited to talk to Dr. Truglio about how we can take this research and these conversations that are happening about math and how it can actually impact what’s happening in homes. ‘Cause we wanna help create positive relationships with mathematics, with kids in math. I’m so excited. And I hope you folks keep listening. We love having you here in the Lounge. And if you haven’t already, please subscribe to Math Teacher Lounge, wherever you get podcasts. And if you like what you’re hearing, please leave us a rating and a review. It helps more listeners to find the show, and let other folks know about this show. Recommendations are great. Thanks so much for listening.

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What Dr. Erin Maloney says about math

“If we can change their mindset, then we can set students on a path to more opportunities and success.”

–Dr. Erin Maloney

Associate Professor in the School of Psychology, Director of the Cognition and Emotion Laboratory, and the Canada Research Chair (Tier II) in Academic Achievement and Well-Being, all at the University of Ottawa

Meet the guest

Erin Maloney is an Associate Professor and Canada Research Chair at the University of Ottawa. Her research sits at the intersection of Cognitive Psychology, Developmental Psychology, and Education and focuses on cognitive and emotional factors that relate to academic achievement. She is a world-renowned expert on the study of math anxiety, conducting research in the lab, in homes, and in classrooms with children, parents, and their teachers. She is passionate about both knowledge mobilization and equity, diversity, and inclusion within education and science.

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About Math Teacher Lounge

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

Utah ELA Review for Grades PK–5

Thank you for taking the time to review Amplify’s core ELA program for PK–5. Amplify Core Knowledge Language Arts® (CKLA) is a state-approved core ELA curriculum designated as a primary core program that fully meets the Science of Reading requirements outlined in SB 127.

Amplify CKLA, developed in partnership with the Core Knowledge Foundation, was designed to help teachers implement Science of Reading principles and evidence-based instructional practices. Scroll down to learn how CKLA is uniquely designed to help all your students make learning leaps in literacy.

Illustration of a diverse group of people engaged in creative activities, including a woman holding architectural plans and a young girl reading a book.

Step 1: Program Introduction

Welcome to Amplify CKLA! Before you dive into our materials, watch the video below to learn about the big picture behind Amplify CKLA’s pedagogy.

In this video, Susan Lambert (Chief Academic Officer and host of Science of Reading: The Podocast) shares why Amplify CKLA was created, how it is built on the Science of Reading, and the impact it’s making across the country.

Step 2: Program Overview

Amplify CKLA is different for a reason. Watch the overview video below to learn about these differences and why educators love them.

In this video, you’ll get an in-depth look at the program’s overall structure and organization, the design behind our proven lessons, and the materials included to support teaching and learning.

The Amplify CKLA Program Guide also provides an in-depth view of how Amplify CKLA works, how it’s structured, and why it’s uniquely capable of helping you bring reading instruction based on the Science of Reading to your classroom.

Evidence-based design

Amplify CKLA is rooted in Science of Reading research. Mirroring Scarborough’s Rope, Amplify CKLA delivers a combination of explicit foundational skills with meaningful knowledge-building.

  • In Grades PK–2, dedicated knowledge-building and explicit skills instruction are taught simultaneously through two distinct instructional strands.
  • In Grades 3–5, dedicated knowledge-building and explicit skills instruction are woven together and delivered through one integrated strand.
Scarborough's Rope

Grades K–2 Skills and Knowledge Strands
Every day students in Grades K–2 complete one full lesson that explicitly and systematically builds foundational reading skills in the Skills Strand, as well as one full lesson that builds robust background knowledge to access complex text in the Knowledge Strand. Through learning in each of these strands, students develop the early literacy skills necessary to help them become confident readers and build the context to understand what they’re reading.

Grades 3–5 Integrated Strand
In Grades 3–5, Knowledge and Skills are integrated in one set of instructional materials. Lessons begin to combine skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis. Students can then use their skills to go on their own independent reading adventures.

Key features

For each Amplify CKLA key feature below, click the drop down arrow to learn more.

Built out of the latest research in the Science of Reading, Amplify CKLA delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades PK–2 with an integrated approach to explicit instruction in grades 3–5.

Review this Science of Reading toolkit to learn more about the Science of Reading best practices integrated throughout CKLA.

Amplify CKLA aligns with the instructional principles recommended by Orton Gillingham and LETRS.

  • Structured–Concepts are taught through consistent routines
  • Sequential–Concepts are taught in a logical, well-planned sequence
  • Systematic–Phonemes are taught from simplest to most complex
  • Explicit–Decoding and encoding concepts are taught directly and explicitly
  • Multi-sensory–Instruction is delivered through visual, auditory, and kinesthetic-tactile pathways
  • Cumulative–Concepts are applied in decodable, connected texts with constant review and reinforcement

Watch this video to learn more!

Additionally, great reading instruction starts with helping kids develop great decoding skills. Our instruction is supported by:

The Science of Reading reveals knowledge as an essential pillar of reading comprehension and lifelong literacy. Hear from author Natalie Wexler and CKLA customers on edWebinar about the importance of knowledge-building in reading instruction.

Students build grade-appropriate subject-area knowledge and vocabulary in history, science, literature, and the arts while learning to read, write, and think creatively and for themselves. Our instruction is supported by:

  • Knowledge builders that provide a quick overview of each domain with its key ideas.
  • Interactive Read-Alouds designed to build knowledge and vocabulary.
  • Content-rich anchor texts that support students as they tackle increasingly complex text and sharpen their analytical skills.
  • Social and emotional learning paired with lessons in civic responsibility.

Amplify CKLA not only received an all-green rating from the rigorous evaluators at EdReports, but it was also recently recognized by the Knowledge Matters Campaign as a high-quality literacy program that excels in building knowledge. Our shared message: background knowledge is essential to literacy and learning.

Student-led reading practice should be purposeful and connected to the core. That’s why Amplify createdBoost Reading. As an optional add-on to Amplify CKLA, students have the opportunity to practice skills directly tied to the skills they’ve been working on during core reading time. Boost Reading also adapts to each student to address their personal gaps and bolsters foundational skills at a pace that supports their individual development.

Boost Reading’s collection of 40+ adaptive games target foundational reading skills and develops them in alignment with Science of Reading principles. Unlike other adaptive games, we ensure students:

  • Practice the right skills at the right time. Our embedded placement tool ensures students receive the content and skill practice most appropriate for their current reading level. From there, students move through our curriculum along their own learning pathway where they encounter personalized content tailored to their evolving skill and grade levels.
  • Progress along a pathway that adapts on multiple dimensions, not just one. For example, a student can work on early first-grade decoding in one game while building more advanced vocabulary knowledge in another.
  • Practice skills in tandem. For example, a student is never forced to master one skill area before proceeding to the next. Instead, we offer students that opportunity to work on multiple skills concurrently.
  • Feel supported with scaffolding, instruction, and practice that adapts based on student performance.
  • Stay engaged by giving them immediate and clear feedback. These results are never punitive. Instead our always-positive feedback is delivered in the context of the game world and is designed to motivate students to keep trying.

Click the buttons below to learn more:

Step 3: Program Resources

Easy-to-use print materials

Amplify CKLA’s easy-to-use materials bring foundational skills and knowledge to life in the classroom.

Download the Amplify CKLA Components guide to see components by grade and watch the print materials walkthrough below.

Engaging CKLA digital experience

The top-rated content of Amplify CKLA is now live with the digital experience that enhances instruction and saves time.

Two digital dashboards are displayed: one for teachers showing recommendations and a program list, and one for students showing to-do items and a lesson named Mount Olympus, Part II.

With the digital experience, everything is in one place, making it easier and more engaging than ever to plan lessons, present digital content, and review student work. Click the arrows below to learn more.

With the digital experience, teachers have access to ready-to-use and customizable lesson presentation slides, complete with all the prompts from the print Teacher Guide embedded in the teacher view. As teachers deliver each lesson, students can engage with the content in one cohesive experience—through these CKLA resources: Activity Books, slides, digital components, videos, Student Readers, and more.

The innovative live review tool found in the digital experience enables you to keep an eye on all of your students as they work on drawing, recording audio, uploading and capturing images, and typing or writing in pre-placed textboxes in their Activity Pages. This dynamic tool provides countless classroom management benefits, enabling you to spot and correct common mistakes as they’re happening, praise your students for thoughtful work, and identify students who are not engaged in the task at hand. Simply put, it will give you those valuable “eyes in the back of your head” you’ve warned your students about!

The digital experience integrates with various LMSs, allowing you and your students to access Amplify CKLA with the software you’re already comfortable using.

In the Amplify CKLA student digital experience, your students have one intuitive access point to fully engage with classroom instruction. Through the Student Home, students can easily access digital lessons with slides, Activity Pages, ebooks, videos, and other interactives from one simple dashboard. Students can draw, record audio, upload and capture images, and type or write in pre-placed text boxes in their Activity Pages.

CKLA review resources

Step 4: State Review Resources

Step 5: Program Access

Explore as a teacher

Before logging in, watch this brief video on navigating the CKLA Teacher Platform.

Ready to explore as a teacher? Follow these instructions:

  • Click the Amplify CKLA Teacher Platform button below.
  • Select Log in with Amplify.
  • Enter the teacher username: t1.utcklapk5@demo.tryamplify.net
  • Enter the teacher password: Amplify1-utcklapk5
  • Choose CKLA from the “Your Programs” menu on Educator Home.
  • Select a grade level from the drop-down menu at the top of the page.

Ready to explore as a Student? Follow these instructions:

  • Click the Amplify CKLA Teacher Platform button below.
  • Select Log in with Amplify.
  • Enter the student username: s1.utahcklapk5@demo.tryamplify.net
  • Enter the student password: Amplify1-utahcklapk5

Prepare Professional Development (PD)

Learning experiences to prepare for literacy and math instructional shifts

The following literacy and math sessions can help any educator—regardless of the program used—enhance their instructional practices.

  • Science of Reading sessions offering research-backed strategies to deepen understanding and improve student outcomes.
  • Problem-based approach to math sessions that empower educators to facilitate meaningful learning experiences and develop critical thinking skills.
  • Multiliterate learner sessions enable educators to make a meaningful impact on students’ literacy development.
Two women are seated at a table with laptops and papers, engaging in a discussion about program implementation in a classroom or meeting setting.

Professional learning journey

Four connected circular icons illustrating a business process: idea generation, planning, execution, and achievement, depicted with relevant symbols.
Prepare Begin Practice Advance
Learning sessions will help shift literacy and math instruction in areas such as the Science of Reading and/or problem-based approaches to math. Program-aligned packages will support those who are new to Amplify programs. Program-aligned packages will support those who have experience using Amplify programs. Offerings will support advanced implementation, build capacity for instructional leaders, certify in-house trainers to deliver Launch sessions, and more.
“Gain the literacy knowledge and skills you need to thrive and help your students thrive. Through these sessions, you’ll understand typical literacy development and how to describe and address literacy difficulties.”

—Susan Lambert, Chief Academic Officer, Elementary Humanities

Host, Science of Reading: The Podcast

Science of Reading learning experiences

Listening to students read is magic. But knowing how to get them reading? That’s science.

Making the shift to the Science of Reading is no small feat, but participating in professional development sessions can help you make this change seamlessly.

Amplify Science of Reading sessions offer flexible, professional learning experiences for teachers that incorporate engaging activities grounded in what science tells us about literacy development.

Two women smiling and looking at a laptop in a classroom. One woman is wearing a striped shirt and the other a black top. Classroom decor is visible in the background.

Build your knowledge of the Science of Reading

Virtual | 90-minute session

This introductory session provides educators with a foundational overview of what the Science of Reading means and what it tells us about how to teach using evidence-based reading practices.

Participants will learn to:

  • Define the Science of Reading by examining evidence-based research.
  • Explain how two frameworks, the Simple View of Reading and the Reading Rope, work in tandem to guide effective literacy instruction.
  • Identify instructional principles aligned to the Science of Reading.
Three people stand in front of a whiteboard with colorful sticky notes, engaging in professional development for teachers as they discuss ideas and collaborate using a tablet and a laptop.

Deepen your knowledge of the Science of Reading

On-site or virtual | 3-hour session

This session will build a base of common knowledge about the Reading Rope and support educators in identifying effective instruction grounded in the Science of Reading.

Participants will learn to:

  • Identify the strands in the Reading Rope.
  • Describe how each strand plays an important role in developing skilled readers and writers.
  • Identify key look-fors in effective Science of Reading instruction.

Science of Reading: The Learning Lab online course

This series of three self-paced online courses, crafted by literacy expert Susan Lambert and built around International Dyslexia Association (IDA) Knowledge and Practice Standards, guides you through the essential Science of Reading skills and knowledge needed to teach students to read proficiently, as well as advanced strategies for aiding struggling readers. Each course builds on the last, equipping you with the tools and confidence to make a lasting impact on your students’ literacy journeys.

Benefit from flexible learning on an interactive platform spanning 20–25 hours of instruction. Each course is accessible for 12 months. Upon completion, you’ll be provided with a downloadable certificate, validating your new expertise in the Science of Reading.

A boy kneels and reads a book near stacked books, while a girl stands with folded arms; both observe a mobile with colorful shapes and letters, reflecting elements of classroom instruction inspired by the Science of Reading.

Foundations to the Science of Reading

This course offers a comprehensive overview of research in the field. Each of the eight modules contains three lessons covering the foundations of literacy acquisition.

Explore the scope and sequence of Foundations to the Science of Reading with a  Pacing Guide.

Access the free Preview Pass for this course.

A child points at large outlined letters on a board with a pointer stick, next to a stack of books—capturing an engaging moment in classroom instruction.

Advanced topics in the Science of Reading: Assessment and reading difficulties

The second course is aimed at providing an in-depth examination of assessments, a deeper understanding of reading difficulties, and familiarity with pertinent legal frameworks for educators, all of which influence instructional decision-making.

Explore the scope and sequence of Advanced topics in the Science of Reading with our Pacing Guide

Access the free Preview Pass for this course.

Three people in lab coats stand around a lab table with test tubes and a flask, engaging in classroom instruction as they discuss and gesture to each other.

Coming soon!
Applied structured literacy

The final course in the series is designed to review key concepts and knowledge from previous coursework, explore fundamental aspects of structured literacy within lessons, observe and analyze structured literacy instruction in action, and investigate how data informs instructional decisions.

[Available June 2025]

“Amplify’s Science of Reading online course builds background knowledge on how students read, then goes deeper to give you strategies that correlate with current research that can be implemented into your classroom right away. The course opened my thinking to new ways of teaching and I can’t wait to try it with students! If you want to walk away feeling successful with helping kids read, take this course! ”

Allie Appel

Coach, WI

New

Supporting multiliterate learner sessions

Unlock the magic of teaching multiliterate learners with evidence-based literacy practices. Making the shift to effectively support diverse readers in multiple languages is no small feat, but our professional development sessions are here to guide you effortlessly.

Empower your teaching with these engaging sessions, and make a meaningful impact on your multiliterate students’ literacy development.

Two children are seated at a small table in a classroom. Engaged in classroom instruction, the girl is writing in a notebook while the boy reads a book. Colorful storage bins are visible in the background, enhancing the learning environment

Build your knowledge of multiliterate learners

Virtual | 90-minute session

This session provides educators with a foundational overview of how to teach multiliterate learners using evidence-based literacy practices.

Contact us to request a quote.

A young boy in a striped shirt sits at a desk, focused on writing in a notebook with a pencil. Surrounding him are classroom supplies and papers, exemplifying the effective program implementation strategies from professional learning sessions.

Deepen your knowledge of multiliterate learners

On-site or virtual | 3-hour session

This session will build an understanding of how the brain learns to read in multiple languages, as well as how to leverage cross-linguistic transfer, and align instruction to best practices for multiliterate learners.

Contact us to request a quote.

Problem-based approach to math instruction sessions

Elevate educational experiences by placing students’ ideas at the core of math lessons through problem-based learning. These sessions offer flexible professional learning experiences, allowing you to gain firsthand experience with a problem-based approach as a learner. You then learn to integrate this approach seamlessly into your teaching practices, bringing renewed energy to your math classroom.

A woman sits indoors, smiling while using a tablet. Wearing a blue lanyard and casual clothing, she appears engaged in professional learning; the background shows blurred people and chairs.

Build your knowledge of a problem-based approach

Virtual | 90-minute session

This session provides you with a foundational overview of what an engaging problem-based approach in math entails for K–5 students.

During this session you’ll learn to:

  • Explain how a problem-based approach to math brings delight to both teaching and learning and builds lasting student understanding.
  • Identify actionable strategies for using a problem-based approach in a math classroom.

Contact us to request a quote.

Deepen your knowledge of a problem-based approach

On-site or virtual | 3-hour session

This session provides you with hands-on experience facilitating problem-solving in math, leaving you with an increased understanding of how to teach conceptual understanding, procedural skill and fluency, and applications of math.

During this session you’ll learn to:

  • Explain how a problem-based approach to math brings delight to both teaching and learning and builds lasting student understanding.
  • Identify actionable strategies for using a problem-based approach in a math classroom.
  • Connect your current teaching practice to a problem-based approach, and choose a next step to implement a more problem-based approach.

Contact us to request a quote.

Get in touch with a PD expert

We’re here to provide answers and guidance as you explore your PD options. Fill out the form to connect with us and discover how Amplify PD can enhance your educational journey.

Welcome, Program 3 reviewers!

We’re honored to introduce you to Amplify California Language Arts. We’re confident you’ll find this comprehensive program to be a powerful tool for bringing the vision of the California ELA/ELD Framework to life in classrooms across the state.

Please start with the video on the right to learn how to navigate the program and access key features referenced within our submission. Below you’ll find additional resources to support your review.

Your review samples

We’re excited for you to begin your review of Amplify California Language Arts, a comprehensive biliteracy program for kindergarten through grade 6.

Reviewer Binders (K–6)

Your physical samples should have arrived in grade-specific boxes with three Reviewer Binders.

  • The first binder will contain logistical program review information and the printed Evaluation Criteria Map.
  • The second binder will contain the printed Standards Maps for grades K–2.
  • The third binder will contain the printed Standards Maps for grades 3–6.

Physical samples (trade books)

Your review of the program will be entirely digital with the exception of the trade books that you will be receiving as physical samples. You can expect to receive 13 boxes of physical materials for your review. Twelve boxes of trade books, one for each grade K–5, in English and Spanish, and one box containing your Reviewer Binders.

As you begin the process of organizing your materials, please refer to the inventory checklist found inside each box as well as within your Reviewer Binder.

Digital review materials

In order to access your digital review materials, you’ll need to log in to our platform using your unique login credentials found on a Digital Review Credential flyer inside of your Reviewer Binder. Once you have located the flyer:

  • Click the orange button below to access the platform.
  • Click “Log in with Amplify.”
  • Enter the username and password provided on your Digital Review Credential flyer.

Navigation tips

Before you get started, please review these important functionality notes:

Criteria Map and Standards Maps must be opened on Microsoft Word on your desktop to function as intended. If you open the documents without Microsoft Word on your desktop, citations will be cut off at the bottom of most tables within the document.

Many of our citations are deep-links to PDFs, meaning they will take you to the right page or the first page in the sequence for the citation in question. To ensure this functionality works, please disable any PDF-viewing extensions or plug-ins such as Adobe Acrobat Pro Browser Extension.

[Reviewer program navigation video] Grades K–5

[Reviewer program navigation video] Grade 6

Click here for additional information on navigating the program for grade 6.

Category 1: English Language Arts (ELA) and English Language Development (ELD) content/alignment to standards

Evaluation Criteria Map

Linked below is the Evaluation Criteria Map. Please note that you will need to be logged into the digital platform to access the links in the Evaluation Criteria Map.

ELA Standards Maps

The links below provide the Standards Maps for Amplify California Language Arts for each grade level.

ELD Standards Maps

Category 2: Program organization

Amplify California Language Arts’ biliteracy program is a comprehensive curriculum provides a full year of evidence-based instruction for each grade level, with both integrated and designated English Language Development instruction designed to give multilingual/English learners the tools to thrive. Amplify’s biliteracy program for grades K–6 includes:

  • Core English language arts instruction: Amplify Core Knowledge Language Arts (CKLA) California (grades K–5) and Amplify ELA California (grade 6) covering knowledge building and foundational skills.
    • Provides upper grade foundational skills instruction for grades 3–6.
  • Core Spanish language arts instruction: Amplify Caminos California, a fully parallel SLA program that works in tandem with English core instruction across all grades.
    • Provides upper grade foundational skills instruction for grades 3–6.
  • Designated English Language Development: Language Studio California is the designated English Language Development companion that directly aligns with and supports core English instruction. 
  • Newcomer Support: Amplify California Language Arts Newcomer Support to facilitate instruction for students who are new to both English and the United States.

Program structure

Amplify’s California Language Arts programs are built on what the research shows: Strong readers need both word recognition and language comprehension. Our comprehensive curriculum suite follows the Simple View of Reading bringing together foundational skills and knowledge building to deliver instruction grounded in the Science of Reading.

This model is integral to the structure of the Amplify biliteracy program, which directly aligns with the CA CCSS ELA and ELD standards by combining rigorous decoding and skills instruction with research-based knowledge and language development instruction. In its early grades, the Amplify biliteracy program uses a two-strand structure—Skills/Lectoescritura and Knowledge/Conocimiento—to effectively address this learning challenge while meeting standards expectations for both language development and academic content mastery.

Diagram with three orange squares labeled: "Language comprehension," "Word recognition," and "Skilled reading," connected by multiplication and equals signs, with Spanish headings above each square.

[Reviewer highlight video] Program organization for Category 2

[Reviewer highlight video] Program structure for grades K–2

[Reviewer highlight video] Program structure for grades 3–5

[Reviewer highlight video] Program structure for grade 6

Amplify Caminos California lessons are designed to allow all students time to work toward learning objectives, including peer collaboration and discussion. Since each lesson activity is aligned to subsequent activities, students’ understanding and analysis develops progressively throughout the lesson.

Each lesson follows a predictable structure with clearly marked components, beginning with warm-up routines, progressing through explicit instruction with guided practice, and concluding with independent application activities. The program provides detailed teacher language, including question stems and discussion prompts, ensuring clear and consistent delivery of instruction.

Amplify CKLA California and Amplify Caminos California empower teachers to deliver effective instruction and keep students engaged with the following resources:

  • Teacher Guides
  • Assessment Guides
  • Authentic texts and trade books
  • Knowledge Image Cards
  • Knowledge Flip Books
  • Remediation and intervention resources
  • Decodable readers
  • Student Readers and novels
  • Student Activity Books
  • Dedicated ELD support with Language Studio California
  • Poet’s Journals
  • eReaders
  • Sound Library featuring articulation videos and songs
  • Instructional routine modeling videos
  • Assignable Practice Games
  • On-demand professional development

Amplify ELA California students stay engaged with the following resources:

  • Teacher Guides that include:
    • Detailed lesson plans
    • Standards alignment and exit tickets
    • Real-time differentiation strategies
    • Robust reporting
  • Student Editions that include:
    • High-quality narrative and informational texts
    • Videos, audio supports, and digital experiences that capture their attention
    • Personal Writing Journal to keep all student writing in one place
  • Dedicated ELD support with Language Studio California
  • Trade books

Core literacy philosophy

Support every learner. Meet all learning needs with a Multi-Tiered System of Supports (MTSS) that brings together universal screening, scaffolded core instruction, support for multilingual/English learners, and data-driven intervention to ensure every student gets what they need to succeed.

Deliver consistent foundational skills instruction. Daily explicit, systematic skills instruction in grades K–2, with targeted yet flexible support for students still building decoding confidence in grades 3–6, ensures mastery of essential reading foundations.

Build lasting knowledge across all grades. Through coherently sequenced, content-rich instruction that revisits key vocabulary and concepts with increasing complexity, students build meaningful connections that deepen their vocabulary and reading comprehension.

Strengthen reading through writing at every level. Regular writing instruction grounded in the Science of Writing supports reading comprehension, improves sentence-level writing, and provides the foundation for high-quality composition. As students progress through the upper grades, they engage in increasingly complex analytical tasks—synthesizing ideas, drawing generalizations, and interpreting multiple textual layers through both focused quick-writes and comprehensive essays. 

Foster oral language development. Structured opportunities for academic conversation and evidence-based dialogue build students’ ability to express complex ideas with precision and allow them to participate confidently in classroom discussions.

Measure growth with comprehensive assessments. Assessments range from in-the-moment checks for understanding to summative assessments that measure progress toward skills mastery and standards proficiency, providing the data needed to drive targeted instruction.

Scope and sequence

Below you can view the scope and sequence documents for each grade level. 

Routines

Amplify CKLA California, Amplify Caminos California, and Amplify ELA California include several structured instructional routines that provide predictable patterns for both teachers and students:

Discussion and collaboration routines:

  • Turn and Talk: Partners discuss text-specific content using sentence starters and frames
  • Think-Pair-Share: Students engage in individual thinking, partner discussion, and whole-class sharing
  • Partner reading: Students sit shoulder-to-shoulder, taking turns reading and listening

Foundational Skills routines:

  • Sound-spelling review: Warm-up activities that reinforce phonics patterns
  • Oral blending warm-ups: Teacher-guided practice progressing to independent application
  • Finger-tapping: Techniques for blending sounds
  • Chaining activities: Students manipulate letters to transform one word into another
  • Word Work: Daily short activities focused on domain-specific and academic vocabulary

Knowledge-building routines:

  • Teacher modeling: Demonstration of proper intonation, expression, and pacing
  • Choral reading: Whole-class reading practice
  • Partner reading: Paired fluency practice

Close reading routines

The program includes carefully structured close reading activities that guide students through multiple encounters with complex texts. These routines help students develop deeper comprehension through systematic analysis and discussion.

Each routine includes comprehensive instructional guides with clear-cut directions for implementation, straightforward explanations of concepts, and suggestions for discussion.

Cross-Linguistic Transfer routines

The Cross-Linguistic Transfer (CLT) routines are easy-to-implement, 10–15 minute mini-lessons designed to help bridge English and Spanish literacy and language development. These structured routines are organized by grade bands for K–2, grades 3–5 and grade 6, covering five skill areas:

  • Oral language
  • Reading
  • Vocabulary
  • Language
  • Writing

[Reviewer highlight video] Amplify’s program alignment to Cross-Linguistic Transfer criteria

Designated English Language Development materials

Language Studio California is a K–8 content-based companion for English language learners. Built on Amplify CKLA California and Amplify ELA California’s carefully sequenced Knowledge Domains, it combines engaging content knowledge with targeted supports and research-based strategies to help students move swiftly toward language proficiency. This program includes:

  • Real-world content to provide authentic opportunities to practice reading, writing, speaking, and listening.
  • Scaffolding strategies and differentiated instruction to offer targeted support along five English proficiency levels.
  • Progress monitoring tools to help teachers provide consistent and effective support.
  • Teacher Guides that:
    • Provide impactful progress monitoring tools including formative and summative assessments, and Language Proficiency Assessment rubrics.
    • Offer varied differentiation strategies including Support, Challenge, and Access supports in each lesson segment.
    • Are organized into thoughtful lesson segments—Talk Time, Building Background, On Stage and more—that make learning objectives concrete.
  • Activities that:
    • Expand on domain knowledge from core content and read-alouds and prompt collaborative conversation to practice oral fluency.
    • Support hands-on language activities to promote authentic interaction in the classroom.
    • Help students bridge experiences and knowledge with images, vocabulary activities, graphic organizers, anticipation guides, writing space, and more.

Category 3: Assessments

Systematic MTSS alignment

In alignment with the additional 2025 Guidance 3.1.a, the assessment systems align with MTSS tiers, including universal screening, diagnostic assessments for students demonstrating a need for additional support, and progress monitoring tools that complement California’s required reading difficulties screening schedule per SB 114.

Tier 1:
Universal/ differentiated support
Tier 2: 
Supplemental/ targeted
support
Tier 3: 
Intensified/ intensive
support
Core instruction assessments





Frequency of administration
Amplify CKLA California, Amplify Caminos California, Amplify ELA California assessments

Daily, Weekly, Monthly
Amplify CKLA California, Amplify Caminos California, Amplify ELA California assessments

Daily, Weekly, Monthly
Amplify CKLA California, Amplify Caminos California, Amplify ELA California assessments

Daily, Weekly, Monthly
Universal screening assessments

Frequency of administration
mCLASS DIBELS and Lectura


3 times per year – BOY, MOY, EOY
mCLASS DIBELS and Lectura


3 times per year – BOY, MOY, EOY
mCLASS DIBELS and Lectura


3 times per year – BOY, MOY, EOY
Formal progress monitoring assessments


Frequency of administration
mCLASS DIBELS and Lectura



3 times per year – BOY, MOY, EOY
mCLASS DIBELS and Lectura



Monthly
mCLASS DIBELS and Lectura



Bi-weekly
Informal progress monitoring assessments




Frequency of administration
Amplify CKLA California, Amplify Caminos California, Amplify ELA California core assessments

Daily
Intervention Toolkit progress monitoring assessments



When linked to a lesson in the toolkit
Intervention Toolkit progress monitoring assessments



When linked to a lesson in the toolkit
Diagnostic assessment







Frequency of administration
Amplify skill diagnostic assessment


Amplify Spanish skill diagnostic assessment

Optional after universal screening assessment is administered
Amplify skill diagnostic assessment


Amplify Spanish skill diagnostic assessment

After universal screening assessment is administered

Universal assessment system

Amplify’s mCLASS® DIBELS® 8th Edition (K–8) and mCLASS Lectura (K–6) are universal and dyslexia screening assessments that should be administered three times per year (BOY, MOY, and EOY) to all students. The assessments evaluate student literacy risk, determine progress toward grade-level goals, and indicate the level of instructional  support a student may need. Beginning-of-year screenings require adequate instructional time before administration, particularly in grades K–1, while mid-year and end-of-year assessments evaluate instructional effectiveness and guide tier placement adjustments. These screenings also identify students at risk for dyslexia. Universal screening provides essential data for targeting instruction and measuring instructional system effectiveness.

Core instruction assessments

Amplify CKLA California, Amplify Caminos California, and Amplify ELA California provide a comprehensive suite of assessments for grades K–6 that range from low-stakes, informal formative assessments to more formal summative assessments. These assessments incorporate a variety of methods and question types, including multiple-choice questions, open-ended questions, and oral and written responses.

Formative assessments:

  • Checks for Understanding: Incorporated into each lesson segment throughout daily instruction. Quick pulse-checks that provide immediate feedback during lesson delivery (grades K–5). 
  • Daily formative assessments: Highlighted moments within each lesson for teachers to plan to track mastery of Primary Focus objectives and standards of each lesson to get a clear snapshot of individual and whole-class progress (grades K–5). 
  • Activity pages: Completed as part of lessons and can be used to assess lesson content understanding through various formats (grades K–5).
  • Exit Tickets: Located at the end of lessons, these provide a quick gauge of students’ ability to meet the lesson’s focus standards (grade 6).  
  • Writing Prompts: Prompts integrated throughout lessons during writing activities that provide skill snapshots within lessons and tracks patterns of skill development over time (grade 6).
  • Independent reading activities (Solos): At the end of every lesson, students complete an independent reading activity (“Solo”) with reading questions that are scored to measure comprehension (grade 6).

Summative assessments:

  • Skills end-of-unit assessments (grades K–2) 
  • Knowledge end-of-domain assessments (grades K–2) 
  • End-of-unit assessments (grades 3–5) 
  • Unit essays: A culminating end-of-unit set of lessons that guide students through crafting an essay with a rubric to score mastery of writing skills (grade 6)
  • Unit reading assessments: Auto-scored responses and two constructed response items evaluate comprehension, content understanding, and reading skills using the passages students read during the unit (grade 6)

Performance assessments

Student Performance Assessments are multi-day assessments administered in Grades K–5 at the beginning, middle, and end of year to help teachers gauge student mastery of grade-level Core content. These assessments provide critical data to help teachers set targeted instructional goals and monitor individual and class-wide progress towards core objectives.

Progress monitoring

Amplify’s mCLASS® DIBELS® 8th Edition and mCLASS Lectura provide formal progress monitoring in the discrete skills that are indicative of reading growth and predictive of overall success to provide the most instructionally meaningful information to teachers.

Informal progress monitoring tools can be found within the Intervention Toolkit, including materials for teachers to record, track, and evaluate student progress.

Diagnostic assessment

Interventions within Amplify’s literacy programs are informed by a skill diagnostic assessment that provides detailed data on foundational literacy skill deficits. The Amplify Skill Diagnostic Assessment and Amplify Spanish Skill Diagnostic assessment serve as critical tools in this process, administered specifically to students identified as at risk for reading difficulty through universal screening assessments—particularly those demonstrating mCLASS DIBELS 8th Edition or mCLASS Lectura composite scores in the Well Below or Below Benchmark ranges. These diagnostic assessments provide teachers with the precise skills to begin intervention and remediation.

Category 4: Universal Access

Amplify CKLA California, Amplify Caminos California, and Amplify ELA California are developed using the Universal Design for Learning framework to proactively ensure that all learners can access and participate in meaningful, challenging learning opportunities.

Universal Design for Learning

Amplify CKLA California, Amplify Caminos California, and Amplify ELA California incorporate opportunities for engagement, representation, action, and expression based on the guidelines of Universal Design for Learning.

  • Multiple Means of Engagement: The programs incorporate interesting and motivating ways for students to interact with information and content. The Universal Access section in the introduction of each lesson provides specific lesson-level options based on the needs of individual classrooms and students. Scaffolding for students with various levels of need is incorporated into the design of each lesson.
  • Multiple Means of Representation: The programs provide multiple means of presenting content to maximize student understanding. This includes digital component files that allow for a range of presentations of images and text to support learning. Amplify provides access to universal supports such as point-of-use audio for all core texts, embedded definitions for critical vocabulary, and glossaries in multiple languages. The programs include clarification on language found throughout the program, with sidebars that include support on transition words and syntax, and illustrations to help students understand the concepts they are learning.
  • Multiple Means of Action and Expression: The programs include a range of methods for all students, including Multilingual/English Learners, to navigate and demonstrate learning. This includes physical actions, a range of methods for response, appropriate tools for composition, and varied scaffolding. Lessons provide multiple ways for students to interact with text, allowing their brains to process the language through distinct pathways. Activities harness multiple learning modes, using media tools, digital apps, and a variety of visual and physical experiences to strategically support and enhance student learning.
  • Accessibility: Universal access features include visual aids, enlarged materials, physical objects, and multiple learning modalities through activities like Push & Say and Wiggle Cards. The Universal Access section in the introduction of each lesson provides specific lesson-level options based on the needs of individual classrooms and students.

Embedded differentiation

Amplify CKLA California, Amplify Caminos California, and Amplify ELA California provide built-in differentiation strategies in every lesson for all students.

  • Pre-teaching supports include mini-lessons on:
    • Core vocabulary building
    • Core connections
    • Essential background information building
    • What Have We Already Learned?/What Do We Already Know?
  • Differentiated Support for Core Instruction tables, located in the overview of each K–2 Skills Teacher Guide, provide a list of specific opportunities for reteaching and additional support in each lesson based on skill.
  • Support and Challenge Sidebars in lesson margins offer educators immediate guidance in implementing point-of-use differentiation techniques.
  • Flexible Grouping within lessons provides opportunities for teachers to facilitate small groups, partners, or individualized support based on students’ needs. In the Skills Strand, teachers receive specific guidance for differentiated small group instruction, with targeted support and activities outlined for both Group 1 (students needing additional support) and Group 2 (on-level students) based on data. 
  • Amplify ELA California and Amplify Caminos California provide point-of-use supports embedded within key core lesson activities with six levels of differentiation. The goal of these supports is to fully enable access to grade-level content for all students, including students with disabilities, English learners, and students ready for an additional level of challenge.
  • The Universal Access section of Advance Preparation in each lesson includes varied strategies to ensure all students can access and engage in each lesson.
  • Frequent use of graphic organizers and visual supports in lessons provide opportunities for differentiation based on need. The program also includes a variety of technological supports, such as eReaders with audio.
  • Extension opportunities are suggested throughout lessons, often embedded in writing tasks, which include prompts to use more complex and descriptive vocabulary, figurative language,  multi-clause and complex sentences, and  informational text characteristics.

Assessment-driven MTSS resources

  • The K–6 Intervention Toolkit is available online and provides easy-to-use resources that assist teachers in filling gaps in students’ reading skills, with activities to support print concepts, phonological awareness, phonics, fluency, and other key skills.
  • Fluency packets (Grades 2–6)
  • Foundational Skills Intervention Program for Grades 3–6 support students who would benefit from direct and explicit intervention instruction in the full continuum of foundational skills in the upper grades
  • Flexible Instructional Time including:
    • Pausing Points built into the curriculum that provide teachers with dedicated time to address specific student needs through targeted reteaching, remediation, practice, and extension activities 
    • Pausing Point activities designed to support multilingual/English learners’ competence and confidence through differentiated whole-group, small-group, or individual instruction
  • Boost Reading and Boost Lectura are student-led digital intervention programs that follow the scope and sequences of Amplify CKLA California and Amplify Caminos California respectively, to reinforce the same foundational skills taught in core instruction. It integrates easily into daily routines, while the robust data provided by mCLASS® DIBELS® 8th Edition offers a detailed view of how students progress across all instructional tiers.

Category 5: Instructional Planning and Teacher Support

Amplify CKLA California, Amplify Caminos California, and Amplify ELA California teachers are empowered to deliver effective instruction with various print and digital resources. The program provides comprehensive planning and support materials designed to help teachers prepare for and execute lessons effectively and fulfill the requirements of Category 5.

Implementation supports across K–6

Planning and preparation resources

  • Unit Overviews that provide important background and context for the texts students will read, including highlighted elements within the text and guidance for how students will work with those elements
  • Sub-unit Overviews (Grade 6) that provide an overview of Lesson Objectives and reading and writing assignments, as well as a list of any projections, multimedia, or digital apps that can be projected from the teacher’s included digital license
  • Lesson-by-lesson preparation checklists (Grade 6) accompanying each Sub-unit Overview
  • Lesson Briefs for each individual lesson providing important background and context
  • Content knowledge materials regarding topics that students will examine

Point-of-use instructional guidance

  • Teacher Editions that feature insets of the same text and activity instructions as the corresponding Student Edition, wrapping teacher instruction around these materials
  • Activity guidance at point of use
  • Lesson standards clearly called out
  • Discussion suggestions embedded in lessons
  • Differentiation tips at point of use
  • Detailed Instructional Guides in each activity that include sequencing and grouping suggestions, tips for facilitating discussion, possible student responses and exemplars
  • On-the-Fly supports (Grade 6)—quick call-outs to the identifying features of “on track” and “needs support” students accompanied by short models of student guidance to foster strong performance

Multimedia and digital support

  • Teacher tip videos provide modeling and guidance for implementing key foundational skills routines within the program
  • Digital platform access where teachers can access printable PDFs of differentiated support materials for multilingual/English learners and students struggling to read, including translated Unit Background and Context documents and Text Previews
  • Teacher Dashboard and reporting tools provide real-time visibility into student progress and work for immediate instructional response

Caregiver supports

Communication and overview resources

  • Caregiver Hub available in English and Spanish that provides an overview of the curriculum
  • Caregiver Letters for each K–2 Knowledge Domain and unit in Grades 3–5 that provide an overview of the content, the skills students learn, as well as practical methods that continue the learning and knowledge building at home
  • Unit-specific Caregiver Letters (Grade 6) that provide detailed information regarding what students will read and learn in each unit, including conversation starters that allow caregivers to ask questions and discuss specific aspects of a unit with their student
  • Welcome letters that explain the assessment and placement process while inviting parent involvement and offering support
  • Editable Home-School Communication letters available in English and Spanish
  • Editable Progress Reports for teachers to update parents and guardians on what their child is learning

Content and learning support materials

  • Unit Background and Context documents that provide an introduction and overview to the unit’s topic and themes, available in English and Spanish
  • Text Previews that provide a brief introduction to formative, independent reading assignments (called Solos in Grade 6), available in English and Spanish
  • Unit Overview and Support documents (Grade 6) designed for caregivers that provide information about important questions, assignments, and key aspects of the unit texts, available in English and Spanish
  • Conversation starters included in Knowledge Strand Caregiver Letters to discuss domain topics at home

Home practice and extension activities

  • Take-Home pages in the Skills Strand that include copies of decodable passages, enabling students to share their reading progress with families and continue practicing their skills outside of school
  • Take-Home Letters in the Skills Strand that provide specific guidance for parents to support skills practice at home, such as sound-sorting activities, with detailed instructions and materials for home practice activities
  • Take-Home pages in the Knowledge Strand that provide suggested activities families can do together to reinforce and extend learning beyond the classroom
  • Games and activities on Take-Home Pages that extend classroom instruction, including all the materials and instruction necessary to help families assist students in a fun and engaging way
  • Digital access to decodable texts through the Amplify Caregiver Hub, allowing students to practice their reading skills both in class and at home
  • Weekly spelling lists and directions to decoding activities that can be practiced at home

Families and caregivers, welcome to Amplify Desmos Math California K–5!

Welcome to the Amplify Desmos Math California K–5 Caregiver Hub. We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy the math journey with them! Below are some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math California.

Para la versión en español, haga clic aquí.

Three children are engaging in a math activity with a grid and orange markers. One child holds a "9-3" card. The background includes beach elements and abstract math symbols.

Caregiver Unit Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of key concepts, plus a problem from the lesson practice set you can work through with your student. You’ll find a Caregiver Resource for each unit, in both English and Spanish.

Unit 1: Math in Our World

Unit 2: Numbers 1–10

Unit 3: Flat Shapes All Around Us

Unit 4: Understanding Addition and Subtraction

Unit 5: Make and Break Apart Numbers Within 10

Unit 6: Numbers 0–20

Unit 7: Solid Shapes All Around Us

Unit 1: Adding, Subtracting, and Working With Data

Unit 2: Addition and Subtraction Story Problems

Unit 3: Adding and Subtracting Within 20

Unit 4: Numbers to 99

Unit 5: Adding Within 100

Unit 6: Measuring Lengths of Up to 120 Length Units

Unit 7: Geometry and Time

Unit 1: Working With Data and Solving Comparison Problems

Unit 2: Adding and Subtracting Within 100

Unit 3: Measuring Length

Unit 4: Addition and Subtraction on the Number Line

Unit 5: Numbers to 1,000

Unit 6: Geometry and Time

Unit 7: Adding and Subtracting Within 1,000

Unit 8: Equal Groups

Unit 1: Introducing Multiplication

Unit 2: Area and Multiplication

Unit 3: Wrapping Up Addition and Subtraction Within 1,000

Unit 4: Relating Multiplication to Division

Unit 5: Fractions as Numbers

Unit 6: Measuring Length, Time, Liquid Volume, and Weight

Unit 7: Two-Dimensional Shapes and Perimeter

Unit 1: Factors and Multiples

Unit 2: Fraction Equivalence and Comparison

Unit 3: Extending Operations to Fractions

Unit 4: From Hundredths to Hundred Thousands

Unit 5: Multiplicative Comparison and Measurement

Unit 6: Multiplying and Dividing Multi-Digit Numbers

Unit 7: Angles and Properties of Shapes

Unit 1: Volume

Unit 2: Fractions as Quotients and Fraction Multiplication

Unit 3: Multiplying and Dividing Fractions

Unit 4: Multiplication and Division With Multi-Digit Whole Numbers

Unit 5: Place Value Patterns and Decimal Operations

Unit 6: More Decimal and Fraction Operations

Unit 7: Shapes on the Coordinate Plane

Unit refresh videos

Unit 1

  • Sub-Unit 2 – Answering the Question “Are There Enough?”
  • Sub-Unit 3 – Counting and Cardinality

Unit 2

  • Sub-Unit 1 – Comparing 2 Groups Using the Terms More, Fewer, and Same
  • Sub-Unit 2 – Counting Objects in Different Orders
  • Sub-Unit 3 – Making Groups to Represent Numerals
  • Sub-Unit 4 – Comparing Written Numbers

Unit 3

  • Sub-Unit 1 – Identifying Circles and Triangles in Different Sizes and Orientations
  • Sub-Unit 2 – Using Positional Words to Describe the Location of Shapes

Unit 4

  • Sub-Unit 1 – Adding and Subtracting Within 10
  • Sub-Unit 2 – Representing Addition and Subtraction Story Problems
  • Sub-Unit 3 – Finding the Values of Expressions

Unit 5

Unit 1

  • Sub-Unit 1 – Organizing Data to Count How Many in Each Category
  • Sub-Unit 2 – Counting on to Add and Counting Back to Subtract
  • Sub-Unit 3 – Representing 2 Categories of Data With Addition Equations

Unit 2

  • Sub-Unit 1 – Representing and Solving Add To, Change Unknown Story Problems
  • Sub-Unit 2 – Using Addition or Subtraction to Find an Unknown Part of a Total Amount
  • Sub-Unit 3 – Solving Compare, Difference Unknown Problems
  • Sub-Unit 4 – Making Sense of Story Problems With Different Questions

Unit 3

  • Sub-Unit 1 – Finding a Difference Using the Relationship Between Addition and Subtraction
  • Sub-Unit 2 – Using the Structure of Teen Numbers to Find Missing Addends
  • Sub-Unit 3 – Breaking Apart Addends to Make 10 When Adding
  • Sub-Unit 4 – Subtracting From Teen Numbers in Parts to Get to 10

Unit 4

  • Sub-Unit 1 – Adding a Ten To and Subtracting a Ten From Multiples of 10
  • Sub-Unit 2 – Representing and Writing Two-Digit Numbers
  • Sub-Unit 3 – Comparing Two-Digit Numbers
  • Sub-Unit 4 – Representing the Same Two-Digit Number With Different Amounts of Tens and Ones

Unit 5

  • Sub-Unit 1 – Adding a Number of Tens or Ones to a Two-Digit Number
  • Sub-Unit 2 – Adding a Two-Digit Number and a One-Digit Number When Composing a Ten is Necessary
  • Sub-Unit 3 – Adding a Two-Digit Number and a Two-Digit Number When Composing a Ten is Necessary

Unit 1

  • Sub-Unit 1 – Choosing Strategies to Add Within 20
  • Sub-Unit 2 – Representing Data in a Picture Graph and Bar Graph
  • Sub-Unit 3 – Finding the Difference Between 2 Categories Shown on a Bar Graph

Unit 2

  • Sub-Unit 1 – Strategies to Solve Story Problems Involving Money
  • Sub-Unit 2 – Decomposing a Ten When Subtracting by Place
  • Sub-Unit 3 – Making Sense of Story Problems About Comparing That Use the Word More
  • Sub-Unit 4 – Making Sense of One- and Two-Step Story Problems

Unit 3

  • Sub-Unit 1 – Measuring the Length of an Object in Centimeters Using a Ruler
  • Sub-Unit 2 – Measuring Objects in Inches and Feet
  • Sub-Unit 3 – Representing Measurement Data on a Line Plot

Unit 4

  • Sub-Unit 1 – Locating Numbers on Number Lines
  • Sub-Unit 2 – Representing Addition and Subtraction Strategies on a Number Line

Unit 5

  • Sub-Unit 1 – Composing Hundreds to Represent Three-Digit Numbers
  • Sub-Unit 2 – Comparing Three-Digit Numbers

Unit 1

  • Sub-Unit 1 – Representing Equal-Groups Situations With Equal-Groups Drawings
  • Sub-Unit 2 – Representing Arrays With Multiplication Equations
  • Sub-Unit 3 – Representing Data Using Scaled Bar Graphs

Unit 2

  • Sub-Unit 1 – Determining the Area of a Rectangle Using Counting and Skip Counting
  • Sub-Unit 2 – Determining the Area of a Rectangle Using Multiplication
  • Sub-Unit 3 – Decomposing to Determine the Area of Rectilinear Figures

Unit 3

  • Sub-Unit 1 – Using the Expanded Form and Partial Sums Algorithms to Add
  • Sub-Unit 2 – Using the Expanded Form Algorithm to Subtract
  • Sub-Unit 3 – Rounding Numbers to the Nearest Hundred and Ten Using Number Lines
  • Sub-Unit 4 – Representing and Solving Two-Step Story Problems Involving Multiplication

Unit 4

  • Sub-Unit 1 – Representing Division Situations With Equal-Groups Drawings
  • Sub-Unit 2 – Representing an Equal-Groups Problem With a Division and Multiplication Equation
  • Sub-Unit 3 – Using the Distributive Property of Multiplication to Multiply a One-Digit Number by a Teen Number
  • Sub-Unit 4 – Decomposing Dividends to Divide

Unit 5

  • Sub-Unit 1 – Writing Unit and Non-Unit Fractions
  • Sub-Unit 2 – Locating Non-Unit Fractions on the Number Line
  • Sub-Unit 3 – Identifying Equivalent Fractions
  • Sub-Unit 4 – Comparing Fractions With the Same Denominator or Same Numerator

Unit 1

  • Sub-Unit 1 – Using Factor Pairs to Determine All the Possible Side Lengths of a Rectangle With a Given Area
  • Sub-Unit 2 – Finding Multiples and Common Multiples

Unit 2

  • Sub-Unit 1 – Locating Fractions with Different Denominators On the Same Number Line
  • Sub-Unit 2 – Using Multiples or Factors to Determine Equivalent Fractions
  • Sub-Unit 3 – Comparing Fractions Using Equivalent Fractions With Common Denominators

Unit 3

  • Sub-Unit 1 – Adding and Subtracting Fractions with the Same Denominator
  • Sub-Unit 2 – Multiplying Whole Numbers and Fractions
  • Sub-Unit 3 – Adding Fractions with Denominators of 10 and 100

Unit 4

  • Sub-Unit 1 – Writing Fractions With Denominators of 10 and 100 as Decimals
  • Sub-Unit 2 – Relationships Between Place Values in Multi-Digit Whole Numbers
  • Sub-Unit 3 – Comparing Multi-Digit Numbers
  • Sub-Unit 4 – Using the Standard Algorithm to Subtract When Decomposing is Required

Unit 5

  • Sub-Unit 1 – Representing Multiplicative Comparison Situations
  • Sub-Unit 2 – Converting Measurements in the Metric System
  • Sub-Unit 3 – Comparing Measurements

Unit 1

  • Sub-Unit 1 – Using the Layered Structure of a Rectangular Prism to Determine the Volume
  • Sub-Unit 2 – Determining the Volume of a Rectangular Prism
  • Sub-Unit 3 – Determining the Volume of Figures Composed of Rectangular Prisms

Unit 2

  • Sub-Unit 1 – Representing Equal-Sharing Story Problems with Fractional Quotients
  • Sub-Unit 2 – Representing Fractions with Equivalent Multiplication and Division Expressions
  • Sub-Unit 3 – Determining the Area of a Rectangle With a Fractional Side Length

Unit 3

  • Sub-Unit 1 – Representing Multiplication of 2 Unit Fractions with Diagrams
  • Sub-Unit 2 – Dividing Whole Numbers by Unit Fractions

Unit 4

  • Sub-Unit 1 – Multiplying Multi-digit Whole Numbers Using the Partial Products and Standard Algorithms
  • Sub-Unit 2 – Dividing Multi-Digit Whole Numbers Using Partial Quotients
  • Sub-Unit 3 – Representing Multi-Step Story Problems with Equations

Unit 5

  • Sub-Unit 1 – Comparing Decimals
  • Sub-Unit 2 – Using the Standard Algorithms to Add and Subtract Decimals
  • Sub-Unit 3 – Multiplying a Whole Number and a Decimal Using the Distributive Property
  • Sub-Unit 4 – Dividing Whole Numbers by Decimals Less Than 1

Access Amplify Desmos Math California at home.

In addition to a print Student Edition workbook, your student will have digital access to all learning, practice, and assessment materials through the Amplify platform. The digital curriculum can be accessed in school and at home by following these instructions:

  • Click the Amplify Desmos Math California button.
  • Select Log in with Amplify.
  • Enter your student’s username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, caregivers can view student work by opening previous assignments.

Learn how to navigate the student home page.

Materials overview

Amplify Desmos Math California address blended learning with supporting print materials and a unique digital experience. All K–5 lessons are available in a write-in Student Edition book. Many of the lessons include hands-on activities with manipulatives, tools that help students understand abstract concepts by making them tangible. Your student will also work with digital devices for an age-appropriate number of lessons.

When students use devices, teachers can monitor their work in real time, making sure they get the exact support that they need at every part of the lesson, in and outside of class.

Una interfaz digital que muestra los nombres anónimos de los estudiantes y su estado de participación en diversas actividades. La interfaz incluye opciones para realizar resúmenes, capturas de pantalla y vistas individuales de los estudiantes.

Components of a lesson

Students in an Amplify Desmos Math California classroom can be seen (and heard!) asking questions, debating answers, justifying their thinking, grappling with problems, and working together and independently.

A typical Amplify Desmos Math California lesson includes:

  • Warm-up: A short, attention-getting problem to pique students’ interest in the lesson.
  • Activities: One to two mini-activities that challenge students’ problem-solving skills.
  • Synthesis: Discussion to review and bring together the important concepts from the lesson.
  • Show What You Know and Reflection: Questions for students to show what they know from the lesson. (Note: The Show What You Know lesson assessment is optional for kindergarten and grade 1.)
  • Centers: Student-led activity stations that reinforce the math learned during lesson activities through interactive and often game-like formats. In kindergarten and grade 1, time for Centers is built into the last 15 minutes of every lesson.

To support, strengthen, and stretch students’ learning after the lesson, Amplify Desmos Math California offers options for:

  • Differentiation: Mini-Lessons, Centers, Extensions, Boost Personalized Learning, and Fluency Practice.
  • Practice: Additional problems your student’s teacher may assign for classwork or homework.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. If your student has already completed the practice problems for the lesson, ask them to walk you through how they solved each problem, or talk about any parts that were challenging for them. Ask your student follow-up questions to encourage the use of math language as they explain their thinking, such as, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students are stuck, ask support questions, such as, “What information do you know here?” or “How could you represent this problem?”

Your student’s teacher may introduce a Center game with students in the lesson or beyond the lesson. These games are aligned to the math of the unit and can be played with students outside of class. Your student’s teacher may introduce a Center game to students during or after completing a lesson, or you may need to teach the game before you play by using easy-to-follow instructions. Sign up for a free account to explore Centers and additional K–5 content in our Featured Collections.

Each unit in Amplify Desmos Math begins with a read-aloud story to engage students and provide context for the math of the unit. Elements and characters from the Unit Story then appear in lessons throughout the unit.

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Relate math to daily activities at home, whether grocery shopping, preparing a meal, or planning for a trip to the store. Your student can help you figure out how many more apples there are than oranges in the grocery cart, show how to split a sandwich into fourths, or figure out how much change you’ll receive in exchange for a $10 bill. Encourage your student to point out ways that you use math in your daily tasks.

Remind your student that getting stuck is part of the process and a necessary—beneficial, even!—part of learning. Many students (and adults) fear making mistakes. But research shows that making mistakes helps our brains grow. When your student gets stuck on a problem, encourage them to keep trying different strategies, even if they’re not sure if they are right.

Get more information.

Have a question about Amplify Desmos Math California? Visit our help library to search for articles with answers to your program questions. For additional support, please contact your student’s teacher.

How problem-based learning can transform the math classroom

With test scores and student engagement on the decline, it’s clear that traditional teaching methods aren’t meeting the needs of all of today’s math learners.

One solution that’s gaining momentum is problem-based learning. By focusing on real-world problems and structured approaches, this approach develops critical thinking, reasoning, and application—skills that are essential for math success.

But making this shift isn’t easy. For math teachers and educators, it requires careful planning, a clear strategy, and community commitment.

That’s why we’re here to help.

The decline in test scores and engagement

The latest National Assessment of Educational Progress (NAEP) results show a sharp decline in math proficiency across grade levels. Only 26% of eighth graders performed at or above the NAEP Proficient level in 2022. These results represent the largest score declines in NAEP mathematics at grades 4 and 8 since initial assessments in 1990. The pandemic didn’t help, but it’s not the only factor.

This downward trend is compounded by a sense of disengagement. According to YouthTruth’s report Making Sense of Learning Math: Insights from the Student Experience, only half of students feel that what they’re learning in math connects to the real world. Recent survey data also shows that less than half of U.S. students feel that they “often” or “always” work on interesting problems in math class.

When math feels irrelevant or intimidating, students disengage—and the learning gaps that follow can be difficult to close.

An opportunity to grow

But the data also includes opportunities. According to NAEP research, more than 70% of students report that they enjoy activities that challenge their thinking and thinking about problems in new ways.

Problem-based learning helps give those students what they want.

And in a world that relies increasingly on data, analysis, and innovation, students need to learn not just how to follow steps and apply formulas, but how to think mathematically. In other words, problem-solving skills need to be part of student learning. This is particularly important in elementary and middle school math, where foundational concepts are built—and where students have the chance to forget their identities as “math people.”

That’s why working to infuse problem-based math learning into your district’s instruction can help reverse negative math and engagement trends.

What does problem-based learning in math look like?

Let’s go back and define this approach more fully. Research shows that math instruction is most effective when it encourages students—individually or grouped with peers—to grapple actively with math problems. When instruction gives students the opportunity and freedom to solve problems, rather than dictating solutions and then having them practice, students are more motivated.

For example, instead of memorizing the formula for calculating area and then practicing it in a series of disconnected problems, students might tackle a problem-solving challenge like:

How much paint is needed to cover our classroom walls?” Or they might work on a broader question such as: “How can we design a park, taking into account constraints like space, cost, and accessibility?

At its core, problem-based learning values mathematical thinking and reasoning. Rather than focusing on procedures and memorization, problem-based learning encourages students to:

  • Explore open-ended problems.
  • Ask questions and make connections.
  • Develop strategies to solve problems collaboratively.
  • Build curiosity and perseverance.
  • Reflect on their reasoning and process.

In the problem-based learning classroom, students are positioned as active participants in their math experiences, building a deeper understanding of concepts as they work through challenges. This is particularly critical for ensuring students don’t just learn math, but understand why it works and how to apply it. These approaches can transform math classrooms into spaces where students build both foundational and real-world math skills—and a healthy dose of math confidence, too.

Critical factors in making the shift

Integrating problem-based learning into traditional math teaching can feel like (and is!) a big change—in lesson-planning, mindset, and more.

To make it work for administrators, teachers, and students alike, schools do best when they focus on a few critical factors. These include:

  • Clear vision: Understand (and communicate) why the shift matters and what it looks like in action.
  • Leadership buy-in: Gain commitment from school leaders and administrators.
  • Teacher support: Offer professional development, resources, and ongoing guidance specific to math instruction.
  • Structured approaches: Establish a well-defined plan for implementing problem-based learning in math classrooms effectively.

What problem-based learning can look like in the classroom

While problem-based learning offers proven benefits, it can be difficult to integrate into the classroom without a clear structure. Teachers need tools and strategies to guide students through the process and ensure that learning goals are met.

A structured approach to problem-based learning in math should include:

  1. Defining the problem: Present a clear, engaging math challenge connected to real-world scenarios.
  2. Student inquiry: Encourage exploration, discussion, and different solution paths.
  3. Collaboration: Support teamwork to share ideas and reasoning.
  4. Reflection: Allow students to evaluate their process, solutions, and learning.

This structured approach not only improves students’ conceptual understanding, but also aligns with Amplify’s research findings, which show that students who engage in active learning outperform their peers in more traditional settings.

By embracing problem-based learning in math classrooms, educators can:

  • Boost student engagement and confidence.
  • Improve student problem-solving and mathematical reasoning skills.
  • Help reverse declines in math achievement over time.
  • Empower students to see the value and relevance of math in academics and in their lives.

Ready to learn more?

If you’re ready to explore how your school can make the shift to problem-based learning in math, our new change management ebook is the perfect place to start. It offers practical guidance, real-world examples, and a deeper look at the strategies highlighted above.

Download the ebook now to discover actionable insights and strategies to help make problem-based learning come alive in your math classrooms.

Welcome, Florida middle school educators!

Amplify ELA Florida is the program built for Florida middle school teachers and students. We designed the program to help ensure the B.E.S.T standards are covered; the skills are taught; the test is prepped for; and your students are scaffolded and encouraged. We want you to spend your time bringing the text to life, making the classroom hum, and letting every student know you are paying attention to their growth.

Amplify ELA Florida Program Guide

Illustration of a ship with diverse elements including human figures, nature motifs, and space elements on a black background.
A teacher assists two students with a laptop in a classroom, one wearing a hijab, conveying a supportive educational environment.

Instruction matters

Florida’s new standards have been crafted to give your students the B.E.S.T. Amplify ELA Florida’s lessons explore the most compelling aspect of a text and target the standards that best support that analysis through reading, writing, and communication. These key standards are identified as the lesson’s Spotlight benchmark.  Strategic connections are attained in the program through:

  • Florida model texts including rich literature and compelling non-fiction, taught in engaging new ways for today’s learners.
  • Benchmark stacks that build connections within lessons and across units.
  • Foundational instruction that targets key standards and multiple learning modes.
  • Writing that builds directly from reading complex text and is evaluated by Amplify’s Automated Writing Evaluation (AWE).
  • Reading with the B.E.S.T. Modules have been built to guide teachers and students as they begin to work with Florida’s new reading standards, providing an introduction to each grade-level B.E.S.T. Reading Benchmark. (Example module: Grade 6, Understanding Rhetoric)

Knowledge matters

Texts in the Amplify ELA Florida Edition curriculum cover a wide range of topics, themes, and genres with differentiated supports that ensure that all students can work through each reading and lesson. Taken as a whole, the texts show students a diverse picture of the world and help foster a lifelong love of reading. Comprehension develops as students engage with literary and informational text selections that are complex, rich, and meaningful. 

Texts were selected for Amplify ELA Florida Edition using the following criteria: 

  • Text complexity as defined by qualitative, quantitative, and reader and task measurements as required by the B.E.S.T. Standards and the Amplify Text Complexity Index
  • Balance of literary and informational texts
  • Varied representation of genres: novels, plays, poetry, biographies, and other full-length texts
  • Diverse cultures, perspectives, and authors
  • Engaging texts that extend learning and support students as they build knowledge
  • Grade-appropriate texts, with scaffolding and compelling activities to support student engagement with 100% authentic texts
  • A library with more than 700 complete books, both classic and contemporary, encompassing a wide range of genres, topics, and cultural perspectives
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Curriculum matters

Amplify ELA Florida is a blended curriculum designed specifically for grades 6–8. The heart of every lesson is the text. Each grade includes six units centered on literary or informational texts, delivered in several forms of media. Your classroom will also benefit from two or three immersive, project-based experiences and a dedicated Story Writing unit.

  • Full B.E.S.T. coverage: Standards are clearly labeled in each lesson, so teachers can save time planning and get back to what they love: teaching. Also included are Benchmark Modules that support teachers’ and students’ introduction to the new standards for Florida.
  • Five levels of differentiation: Based on each student’s needs and the performance measures within Amplify ELA reports, a teacher can choose the differentiation level that’s the right fit for everyone.
  • Embedded Assessments: Teachers benefit from uninterrupted instructional time and a continuously updated picture of each student’s progress with key skills and standards.
  • Powerful feedback tools: Comprehensive tools help teachers maximize both the quantity and quality of feedback.
  • Robust reporting: Our reporting app offers information on student progress to help inform instructional decisions.

All in one place: Embedded teacher support, differentiation tools, student data, text, and other curriculum features—they’re all right there.

Materials

Amplify ELA Florida Edition is a blended curriculum that seamlessly integrates print and digital resources to be used in any learning environment. The resources are designed to facilitate instruction for planning, teaching, learning, and assessment.

Student materials

Available digitally and in print, the student materials guide middle schoolers through complex texts and writing with the following:

  • Student Edition will engage students with high-quality narrative and informational texts.
  • Digital experience will provide videos, a library of more than 700 texts, audio supports, and other online experiences that capture their attention.
A laptop displays a web page titled "read like a movie director, part 1" from amplify ela, featuring text and an eyeball image under the lesson tab.
A laptop displaying a webpage from "amplify ela" featuring the title "brain science" and various educational topics alongside an illustrated collage of diverse human figures.

Teacher materials

Available digitally and in print, the Teacher Edition contains all of the information teachers need to facilitate classroom instruction, including:

  • From detailed lesson plans.
  • Video teacher tips embedded in the lesson.
  • B.E.S.T. standards alignment and assessments including exit tickets.
  • Real-time differentiation strategies.
  • Clarify and Compare lessons.
  • Robust reporting.

Professional learning

Amplify employs a national cohort of more than 50 ELA facilitators, all of whom have experience as former classroom teachers and many of whom are former school and/or district leaders. Our professional learning team has decades of experience working with large districts across the nation. Amplify has experience supporting district launches over multiple years and has partnered with districts of all sizes nationwide. We partner deeply with districts and tailor professional learning to their unique needs.

Florida ELA Implementation

Two women are seated at a desk, smiling and working together on a project with a laptop and notebook in an office setting.

Grade K

Unit 1: Position, Length, Height, and Sorting

Lesson 2: Describe and Compare Length and Height, Session 3Connecting Cubes

Unit 2: Numbers to 5, Shapes and Weight

Lesson 4: Count, Show and Write Numbers to 5, Session 2Skye’s Style
Lesson 5: Compare Numbers to 5, Session 4Matching Groups
Lesson 5: Compare Numbers to 5, Session 5Designing Shoes With Skye
Lesson 6: Three-Dimensional Shapes and Weight, Session 1What’s That Shape?
Lesson 6: Three-Dimensional Shapes and Weight, Session 2Building Solid Shapes
Lesson 6: Three-Dimensional Shapes and Weight, Session 5Putting Solid Shapes Together

Unit 3: Addition and Subtractions with 5 and Shapes,

Lesson 8: Two-Dimensional Shapes,
Session 1
So Much Sorting
Lesson 8: Two-Dimensional Shapes,
Session 2
What’s That Shape Called?
Another Shape

Unit 4: Numbers to 10 and Shapes

Lesson 11: Count, Show, and Write Numbers to 10, Session 1Investigate: Cafeteria Math
Fingers as Math Tools
Lesson 12: Compare Numbers to 10, Session 1Moving and Grooving
Fingers and Counters
Lesson 12: Compare Numbers to 10, Session 2More, Fewer, or the Same
Comparing Words
Lesson 12: Compare Numbers to 10, Session 5Forest Friends
Lesson 14: Compose and Decompose 10, Session 2Harry’s Hamster Wheel
Lesson 14: Compose and Decompose 10, Session 3Harry Explores Space
Lesson 14: Compose and Decompose 10, Session 4Showing What We Know About 10
Lesson 14: Compose and Decompose 10, Session 5Harry Explores the Ocean

Unit 6: Addition and Subtraction Within 10

Lesson 20: Add Within 10, Session 1Investigate: Casey’s Town
What Does It Mean to Add?
Lesson 20: Add Within 10, Session 2How Many Objects?
Lesson 20: Add Within 10, Session 3How Many Objects in Pictures?
How Will You Count?
Lesson 21: Subtract Within 10, Session 1What Does It Mean to Subtract?
Lesson 22: Add and Subtract to Solve Wold Problems, Session 1The Bus Depot

Unit 7: Teen Numbers and Shapes

Lesson 23: Compose and Decompose Teen Numbers with Tools and Drawings, Session 2Investigate: Packing Snacks
Getting Ready for the Game
Pass, Shoot, Score
Lesson 23: Compose and Decompose Teen Numbers with Tools and Drawings, Session 3How Many on the Field?
Lesson 25: Compose and Decompose Teen Numbers with Symbols, Session 2Jersey Jam!
People at the Park

Grade 1

Unit 1: Relating Addition and Subtraction

Lesson 2: Add and Subtract Within 10, Session 1What’s the Difference?
Leaping Lily Pads!
Investigate: Let’s Grow!
Lesson 2: Add and Subtract Within 10, Session 3Packing a Picnic
Lesson 5: Solve Word Problems to 10, Session 2Tutu’s Garden in Maui
Lesson 5: Solve Word Problems to 10, Session 2Replanting Huli
Lesson 5: Solve Word Problems to 10, Session 3The Kalo Plants
Lesson 5: Solve Word Problems to 10, Session 4A Community Working Together
Lesson 5: Solve Word Problems to 10, Session 5Helping Others

Unit 2: Addition and Subtraction Within 20

Lesson 6: Teen Numbers, Session 2Same Number, Different Ways
Lesson 7: Add Three Numbers, Session 2Making 10
Kitten Coaster

Unit 4: Using Tens and Ones to Organize and Count

Lesson 15: Tens and Ones, Session 1Investigate: Game Points
Lesson 15: Tens and Ones, Session 3Meeting Yara
It’s a Match
Lesson 16: Numbers to 120, Session 1How Many Cubes?
Boris’s Thimbles
Lesson 21: Add Two-Digit Numbers, Session 1How Many Tens?
Investigate: Squashes at the Playground
Lesson 21: Add Two-Digit Numbers,
Session 2
Town Helpers
Lesson 21: Add Two-Digit Numbers,
Session 3
Making Squash Butter

Unit 5: Operations with Tens and Ones

Lesson 19: Addition with Two-Digit Numbers, Session 2From Park to Table

Unit 6: Geometry and Measurement

Lesson 22: Shapes, Session 1Shapes Ying Saw
Lesson 23: Break Shapes Into Equal Parts, Session 2Fair and Square
One of the Parts, All of the Parts
Lesson 23: Break Shapes Into Equal Parts, Session 5A Bigger Part

Grade 1 (ADM G2)

Unit 1: Relating Addition and Subtraction

Lesson 1: Partner Pairs for 10, Session 3Ways to Make 10
Lesson 2: Add and Subtract Within 10, Session 3Exploring Within 10

Grade 2

Unit 1: Numbers Within 20

Lesson 2: Using Mental Math Strategies to Subtract, Session 1Awesome Aquariums

Unit 2: Numbers Within 100

Lesson 10: Solve Word Problems Involving Money, Session 1Investigate
Lesson 10: Solve Word Problems Involving Money, Session 2Discovering Coins (Part 1)
The Toy Stand
Lesson 10: Solve Word Problems Involving Money, Session 3How Much Money?
Discovering Coins (Part 2)
Lesson 10: Solve Word Problems Involving Money, Session 4The Craft Stand at the Block Party

Unit 3: Numbers Within 1000

Lesson 12: Three-Digit Numbers, Session 1Investigate: A Mistake in Mom’s Office
What Makes a Hundred?
Lesson 12: Three-Digit Numbers, Session 2Looking for Patterns
Lesson 13: Read and Write Three-Digit Numbers, Session 1What’s the Value?
Lesson 13: Read and Write Three-Digit Numbers, Session 2Mail Call!
Lesson 13: Read and Write Three-Digit Numbers, Session 3A New Representation
What’s Your Name?
All the Ways!
Lesson 15: Mental Addition and Subtraction, Session 2Turtle Hurdle
Lesson 16: Add Three-Digit Numbers, Session 2There’s Something About Berries
Lesson 18: Using Addition and Subtraction Strategies with Three-Digit Numbers, Session 2Baking With Skunk

Unit 4: Length

Lesson 25: Solving Problems About Length, Session 2Lengths of Jungle Animals
Lesson 27: Sorting and Organizing Data, Session 1Messy Measurements
Lesson 27: Sorting and Organizing Data, Session 3Bracelets and Wristbands
Lesson 26: Add and Subtract on the Number Line, Session 1Investigate
Time to Line Up!
In Full Bloom
Lesson 26: Add and Subtract on the Number Line, Session 2What’s That Number?
Lesson 26: Add and Subtract on the Number Line, Session 3Greater Than, Less Than, or Equal to

Unit 5: Shapes and Arrays

Lesson 28: Recognize and Draw Shapes, Session 2Frame It!
Lesson 28: Recognize and Draw Shapes, Session 3Measure It, Draw It
Lesson 32: Even and Odd Numbers,
Session 1
Can You Share?
Lesson 32: Even and Odd Numbers,
Session 2
Everybody, Find A Partner!
Lesson 32: Even and Odd Numbers,
Session 3
Is It Even or Odd?

Grade 2 (ADM G3)

Unit 2: Numbers Within 100

Lesson 6: Adding Two-Digit Numbers, Session 1Panda Patterns
Lesson 12: Understand Three-Digit Numbers, Session 2Investigate: Creating a Photo Gallery
Lesson 16: Add Three-Digit Numbers, Session 2How Would You Solve It?
Adding Your Way
What Is an Algorithm?
Lesson 16: Add Three-Digit Numbers, Session 3Using Fewer Digits
Determining Sums of 2 or More Addends
Lesson 16: Add Three-Digit Numbers, Session 3Adding Strategically

Unit 4: Length

Lesson 27: Read and Make Line Plots, Session 2The Plot Chickens
Let’s Make a Line Plot

Grade 3

Unit 2: Multiplication and Division

Lesson 4: Understand the Meaning of Multiplication, Session 1Equal Groups
Lesson 6: Multiply with 3, 4, and 6, Session 2Rectangles and Arrays
Lesson 8: Use Order and Grouping to Multiply, Session 2Arrays of Flavor
Lesson 11: Understand How Multiplication and Division Are Connected, Session 1It’s Chili in Here!
Lesson 12: Multiplication and Division Facts, Session 3Relating Quotients to Familiar Products

Unit 3: Multiplication

Lesson 19: Scaled Graphs, Session 1Puppy Pile
Lesson 19: Scaled Graphs, Session 42, 5, or 10?
Lesson 14: Understand Area, Session 1Tiling Figures
Lesson 14: Understand Area, Session 2Which Covers More Space?
Lesson 15: Multiply to Find Area, Session 3Area Hunt
Lesson 17: Solve One-Step Word Problems Using Multiplication and Division, Session 2Division and Multiplication Equations

Unit 4: Fractions

Lesson 21: Understand Fractions on a Number Line, Session 1Cat Crossing
Lesson 21: Understand Fractions on a Number Line, Session 2Fractions on the Number Line
Lesson 21: Understand Fractions on a Number Line, Session 3Location, Location, Location

Unit 6: Shapes

Performance TaskInvestigate: Comparing Rugs
Lesson 30: Understand Categories of Shapes, Session 1Piho’s Shapes
Lesson 31: Classify Quadrilaterals, Session 1Rectangles, Squares, and Rhombuses
Lesson 31: Classify Quadrilaterals, Session 3More Quadrilaterals

Grade 4

Unit 2: Operations

Lesson 6: Understand Multiplication as a Comparison, Session 1Sticker Mania
Lesson 6: Understand Multiplication as a Comparison, Session 2Representing “Times as Many”
Going Swimming
Lesson 8: Multiples and Factors, Session 1Hamster Homes
Lesson 8: Multiples and Factors, Session 3Factor or Multiple?
Lesson 8: Multiples and Factors, Session 4A Number Game
Lesson 9: Number and Shape Patterns, Session 1How Does It Grow?

Unit 3: Multi-Digit Operations and Measurement

Lesson 11: Multiply by One-Digit Numbers, Session 1Investigate: Packing Lei
Counting Flowers for Lei
Lesson 11: Multiply by One-Digit Numbers, Session 3A Lei Making Workshop
A Reasonable Answer
Three of a Kind
Lesson 12: Multiply by Two-Digit Numbers, Session 2Growing Flowers for the Lei
Double Decomposition
Lesson 12: Multiply by Two-Digit Numbers, Session 3Revisiting Strategies
How Many Supplies?

Unit 4: Fractions, Decimals, and Measurement

Lesson 17: Understand Equivalent Fractions, Session 1Investigate: Building Your Own Number Line
Fraction Strips
Lesson 18: Understand Equivalent Fractions, Session 3Chop It
All Kinds of Fractions
Lesson 19: Fraction Addition and Subtraction, Session 1Pizza Problems
Lesson 20: Add and Subtract Fractions, Session 4Math Pizzeria
Lesson 24: Multiply Fractions by Whole Numbers, Session 2Equal Groups of Fractions
Lesson 25: Fractions as Tenths and Hundredths, Session 3Investigate: Different Units
Lesson 26: Relate Decimals and Fractions, Session 2A New Way to Write Tenths
A New Way to Write Hundredths
Lesson 26: Relate Decimals and Fractions, Session 4Are They Equivalent?
Lesson 27: Compare Decimals, Session 2How Can You Compare?
Lesson 27: Compare Decimals, Session 3Robot Factory
Lesson 27: Compare Decimals, Session 4What’s the Order

Unit 5: Geometry and Measurement

Lesson 30: Points, Lines, Rays, and Angles, Session 3Angle Adventures
Lesson 31: Angles, Session 1The Spin on Angles
Lesson 32: Add and Subtract with Angles, Session 3Angles in Motion

Grade 5

Unit 1: Whole Number Operations and Applications

Lesson 2: Find Volume Using Unit Cubes, Session 1Which is Largest
Lesson 2: Find Volume Using Unit Cubes, Session 2Packing the Barge
Lesson 3: Find Volume Using Formulas, Session 3Putting it Together
Figures Made of Prisms
Lesson 4: Multiply Multi-Digit Numbers, Session 1Partial Products Everywhere
Lesson 4: Multiply Multi-Digit Numbers, Session 4How Do They Compare?
Lesson 5: Divide Multi-Digit Numbers, Session 4Emptying the Water Tank

Unit 2: Decimals and Fractions

Lesson 6: Understand Decimal Place Value, Session 1Investigate: Numbers Between Numbers
Lesson 6: Understand Decimal Place Value, Session 2What Is One Thousandth?
Lesson 8: Read and Write Decimals,
Session 1
Say What?
Place Value Patterns
Lesson 9: Compare and Round Decimals, Session 2Selling Collectibles
Lesson 9: Compare and Round Decimals, Session 3The Claw
Which Way Down the Mountain?
Lesson 9: Compare and Round Decimals, Session 4Rounding Races
Lesson 7: Understand Powers of 10, Session 1Monarch Butterflies
All About That Base
Powers of 10 Parade

Unit 3: More Decimals & Fractions

Lesson 18: Fractions as Division, Session 1Investigate: Sharing Sandwiches
Division Story Problems
Making Generalizations
Investigate: Folding Paper
Lesson 18: Fractions as Division, Session 2Sharing More Sandwiches
Dance Breaks
Lesson 19: Multiplication by a Fraction, Session 2Parts of Parts
Lesson 20: Multiply Fractions to Find Area, Session 2One Part of One Part
Lesson 20: Multiply Fractions to Find Area, Session 3Making Food
Lesson 22: Multiply Fractions in Word Problems, Session 3Installing Turf
Rows and Columns
Lesson 22: Multiply Fractions in Word Problems, Session 4Messy Multiplication
Applying Fraction Multiplication
Lesson 21: Exploring Multiplication as Scaling, Session 1Chores at Animal Haven
The Re-size-inator

Unit 5: Algebraic Thinking and the Coordinate Plane

Lesson 31: Understand the Coordinate Plane, Session 1Bullseye!
Lesson 31: Understand the Coordinate Plane, Session 2Creating a Coordinate System
Coordinating Satellite Repairs

Grade 6

Unit 1: Expressions and Equations: Area, Algebraic Expressions, and Exponents

iReady ClassroomAmplify Classroom
Lesson 1: Find the Area of a ParallelogramUnit 1
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2

Unit 2: Decimals and Fractions: Base-Ten Operations, Division with Fractions, and Volume

Lesson 7: Add, Subtract, and Multiply Multi-Digit DecimalsUnit 4
Lesson 1: Dishing Out Decimals
Lesson 8: Divide Whole Numbers and Multi-Digit DecimalsUnit 5
Lesson 13: Movie Time
Lesson 9: Understand Division with FractionsUnit 4
Lesson 3: Flour Planner
Lesson 10: Divide FractionsUnit 4
Lesson 6: Fill the Gap

Unit 3: Ratio Reasoning: Ratio Concepts and Equivalent Ratios

Lesson 12: Understand Ratio ConceptsUnit 2
Lesson 1: Pizza Maker
Lesson 13: Find Equivalent RatiosUnit 2
Lesson 4: Fruit Lab
Lesson 10: Disaster Preparation

Unit 4: Ratio Reasoning: Unit Rates and Percent

Lesson 15: Understand Rate ConceptsUnit 3
Lesson 1: Many Measurements
Lesson 16: Use Unit Rates to Solve ProblemsUnit 3
Lesson 6: Soft Serve
Lesson 17: Understand PercentsUnit 3
Lesson 9: Lucky Duckies

Unit 5: Algebraic Thinking: Equivalent Expressions and Equations with Variables

Lesson 19: Write and Identify Equivalent ExpressionsUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 22: Analyze Two-Variable RelationshipsUnit 6
Lesson 16: Subway Fares
Take Away (coming soon!)

Unit 6: Positive and Negative Numbers: Absolute Value, Inequalities, and the Coordinate Plane

Lesson 23: Understand Positive and Negative NumbersUnit 7
Lesson 1: Can You Dig It?
Lesson 24: Order Positive and Negative NumbersUnit 7
Lesson 4: Order in the Class
Lesson 26: Write and Graph One-Variable InequalitiesUnit 7
Lesson 7: Tunnel Travels

Unit 7: Statistical Thinking: Data Distributions and Measures of Center and Variability

Lesson 30: Use Dot Plots and Histograms to Describe Data DistributionsUnit 8
Lesson 3: Minimum Wage
Lesson 5: The Plot Thickens
Lesson 31: Interpret Median and Interquartile Range in Box PlotsUnit 8
Lesson 11: Toy Cars

Grade 7

Unit 1: Proportional Relationships: Ratios, Rates, and Circles

iReady ClassroomAmplify Classroom
Lesson 2: Find Unit Rates Involving Ratios and FractionsUnit 2
Lesson 1: Paint
Lesson 4: Represent Proportional RelationshipsUnit 2
Lesson 6: Two and Two
Lesson 5: Solve Proportional Relationship Problems
Lesson 6: Solve Area and Circumference Problems Involving CirclesUnit 3
Lesson 3: Measuring Around
Lesson 9: Area Challenges

Unit 2: Numbers and Operations: Add and Subtract Rational Numbers

Lesson 7: Understand Addition with Negative NumbersUnit 5
Lesson 1: Floats and Anchors
Lesson 8: Add with Negative NumbersUnit 5
Lesson 1: Floats and Anchors
Lesson 9: Understand Subtraction with Negative IntegersUnit 5
Lesson 1: Floats and Anchors
Lesson 10: Add and Subtract Positive and Negative NumbersUnit 5
Lesson 1: Floats and Anchors

Unit 3: Numbers and Operations: Multiply and Divide Rational Numbers

Lesson 14: Use the Four Operations with Negative NumbersUnit 5
Lesson 10: Integer Puzzles

Unit 4: Algebraic Thinking: Expressions, Equations, and Inequalities

Lesson 19: Write and Solve InequalitiesUnit 6
Lesson 16: Shira the Sheep

Unit 5: Proportional Reasoning: Percents and Statistical Samples

Lesson 20: Solve Problems Involving Percents Unit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 22: Understand Random SamplingUnit 8
Lesson 2: Prob-bear-bilities
Lesson 24: Compare PopulationsUnit 8
Lesson 10: Crab Island

Unit 6: Geometry: Solids, Triangles, and Angles

Lesson 28: Find Unknown Angle MeasuresUnit 7
Lesson 2: Friendly Angles
Lesson 4: Missing Measures

Unit 7: Probability: Theoretical Probability, Experimental Probability, and Compound Events

Lesson 30: Understand ProbabilityUnit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Grade 8

Unit 1: Geometric Figures: Rigid Transformations and Congruence

iReady ClassroomAmplify Classroom
Lesson 1: Understand Rigid Transformations and Their PropertiesUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 2: Work with Single Rigid Transformations in the Coordinate PlaneUnit 1
Lesson 4: Moving Day

Unit 2: Geometric Figures: Transformations, Similarity, and Angle Relationships

Lesson 4: Understand Dilations and SimilarityUnit 2
Lesson 2: Dilation Mini Golf
Lesson 6: Describe Angle RelationshipsUnit 2
Lesson 6: Social Scavenger Hunt
Lesson 7: Describe Angle Relationships in TrianglesUnit 1
Lesson 12: Puzzling It Out

Unit 3: Linear Relationships: Slope, Linear Equations, and Systems

Lesson 8: Graph Proportional Relationships and Define SlopeUnit 3
Lesson 1: Turtle Time Trials
Lesson 13: Solve Systems of Linear Equations AlgebraicallyUnit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Unit 4: Functions: Linear and Nonlinear Relationships

Lesson 15: Understand FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 16: Use Functions to Model Linear RelationshipsUnit 5
Lesson 5: The Tortoise and the Hare

Unit 5: Integer Exponents: Properties and Scientific Notation

Lesson 19: Apply Exponent Properties for Positive Integer ExponentsUnit 7
Lesson 1: Circles
Lesson 3: Power Pairs
Lesson 22: Work with Scientific NotationUnit 7
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Unit 6: Real Numbers: Rational Numbers, Irrational Numbers, and the Pythagorean Theorem

Lesson 23: Find Square Roots and Cube Roots to Solve ProblemsUnit 8
Lesson 4: Root Down
Lesson 25: Find Rational Approximations of Irrational NumbersUnit 8
Lesson 10: Taco Truck
Lesson 27: Apply the Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 28: Solve Problems with Volumes of Cylinders, Cones, and SpheresUnit 8
Lesson 11: Cylinders
Lesson 13: Cones

Unit 7: Statistics: Two-Variable Data and Fitting a Linear Model

Lesson 29: Analyze Scatter Plots and Fit a Linear Model to DataUnit 6
Lesson 3: Robots
Lesson 4: Dapper Cats
Lesson 6: Find the Fit

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Instructional strategies for integrating literacy into your science classroom

Do you ever feel like science is the underdog in your school or district? You’re not alone.

But it doesn’t have to be that way. In fact, we know that science can overdeliver. That’s especially true when educators successfully integrate it with other subjects.

You can dive into the power of integrating science and literacy with the latest season of Science Connections. Here’s a sneak peek at what we explore in the first few episodes of Season 3 of our podcast.

Rooting for the underdog

In what sense is science seen as an underdog? Just ask Eric Banilower and Courtney Plumley of Horizon Research, a consulting firm that supports educational improvement and policy development. Host Eric Cross interviews them in Season 3, Episode 1.

As you know, an underdog is generally a weaker or less favored person or entity. Banilower and Plumley find that science instruction often fits that mold.

One thing they found: elementary school teachers’ schedules allow for less instruction of science than math and ELA. They also note that when there’s a break in routine—a special assembly or early dismissal—science is often “the first thing to go,” says Plumley.

They also note that instructors (like many others) are often expected to design their own curriculum.

The conversation offers some solutions for shifting these practices, as well as supporting science instructors in general.

“You don’t ask doctors to develop new treatments and tests. Their job is to get to know their patient, assess what’s going on, and then use research-based methods to develop a plan of action. That analogy [suggests] a scalable approach for raising…the quality of science education,” Banilower says.

What is that approach? According to Banilower, “Giving teachers research-based, high-quality instructional materials that they can use to meet the needs of their students would allow them to focus on getting to know their students, seeing their strengths, [finding areas where they have] room for growth, and…help[ing] those students progress.”

The power of integrating science and literacy into the science classroom

Science does not need to stay in a silo. As we illuminate in Episodes 2 and 3, bringing literacy work into the science classroom can supercharge students’ work in both. (We also explore the topic in this blog post.)

“We know we need to dramatically improve literacy rates in this country, and as we’ll show in the coming episodes, science can be a key ally in that goal,” says our host, Eric Cross.

It goes the other way, too. Language development and literacy instruction can support science. “Win-win, folks,” says Cross.

In Episode 2, senior science educator Dr. Susan Gomez Zwiep described how bilingual and multilingual students in her school accelerated their English speaking and learning when they were excited to discuss science phenomena.

Indeed, she notes, the NGSS provides rich linguistic opportunities for students. We used to talk about language in science as all technical, but that’s changed. “Language is now developed through the science learning experiences,” says Gomez Zwiep.

Two key approaches you can use:

  • Think of science lessons as a narrative. Gomez Zwiep suggests you ask yourself, “What’s the story arc of my science lesson? How are the science ideas building over time?”
  • Welcome language that’s comfortable and conversational for your students.  “This expansion of language, including non-standard dialects and even home language, is really important for letting students bring their whole selves into the classroom,” she says.

More ways to enhance literacy in science 

Don’t worry—you don’t need to take a second job. “It’s not that you have to become a reading specialist to integrate literacy into science,” says Douglas Fisher, Ph.D., professor and chair of educational leadership at San Diego State University. “It’s how our brains work.”

It’s also how science works. “Science teachers and scientists do a lot of reading, writing, speaking, and listening and viewing. They use the five literacy processes all the time,” says Fisher, our guest on Episode 3.

Some strategies Fisher offers:

  • Invite multiple aspects of literacy. Think: What role do speaking, listening, reading, writing, and viewing, play in your class? Provide opportunities for students to do those things each time you meet with them.
  • Read challenging texts. “Science is an ideal place to get students reading things that are hard for them. Doses of struggle are good for our brains,” Fisher says. “Complex texts that don’t give up their meanings easily allow students to reread the text, mark it, talk to peers about it, and answer questions with their groups.”
  • Get them writing, even in short bursts. “Writing is thinking,” he says. “While you are writing, your brain cannot do anything else.” So if your students understand a given concept, have them write about it.

And that’s just the beginning. Tune in—and stay tuned—for more strategies for encouraging literacy integration in a science classroom.

More ways to learn

Welcome to Amplify Desmos Math California!

California educators, welcome to math that motivates. Introducing Amplify Desmos Math California, a new, curiosity-driven TK–12 program that builds lifelong math proficiency. Each lesson poses problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals. Students encounter math problems they are eager to solve; teachers spend more time where it’s most impactful: creating a collaborative classroom of learners.

Scroll to learn more about the program and explore sample materials.

About the program

Amplify Desmos Math California is a TK–12 core math program designed to meet the CA Math Framework and the Common Core State Standards for Mathematics. Offered in English and Spanish, Amplify Desmos Math California thoughtfully combines conceptual understanding, procedural fluency, and application through a structured approach to problem-based learning. Through engaging activities, Amplify Desmos Math California invites curiosity and math discourse into the classroom to create lifelong math proficiency.

Please scroll to learn more about the K–8 program and explore sample materials. (TK and high school materials are in development and will be available soon.)

A powerful math suite

Amplify Desmos Math California combines the best of assessment, problem-based core lessons, personalized practice, and intervention into a coherent and engaging experience for both students and teachers.

Laptop displaying a math problem interface with student assessment reports in the background.

Assessment

mCLASS benchmark assessments, along with daily formative checks, measure not only what students know, but also how they think. The asset-based assessment system provides teachers with targeted, actionable insights, linked to core instruction and intervention resources. Unit- and lesson-level core assessments give teachers data at their fingertips to guide and differentiate instruction. In grades 3–8, core assessments and performance tasks are designed to prepare students for success on the Smarter Balanced Assessment Consortium (SBAC) testing.

Core instruction

Amplify Desmos Math California core lessons pair problems students are eager to solve with clear instructional moves for teachers. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals. With built-in differentiation and Multilingual / English Learner support, Amplify Desmos Math California will allow every student to find success in the math classroom.

An educational game screen with a worm on a log and numbered blocks. Adjacent is a worksheet titled "Finding the Missing Pair" with instructions and incomplete equations.
A digital educational screen showing a math problem about converting meters to centimeters. It involves a diving toy sinking 5 meters into a pool. Text prompts users to input the conversion.

Personalized learning

Boost Personalized Learning activities help students access grade-level math through engaging, independent digital practice. Responsive Feedback adjusts to students’ work, providing item-level adaptivity to further support their learning.

Intervention

Integrated resources like Mini-Lessons, Fluency Practice, and Math Adventures provide targeted intervention on a specific concept or skill connected to the daily lesson. Extensions are also available to stretch students’ understanding.

Two pages of a math workbook displaying exercises on determining coordinates after rotation. The pages include diagrams, tables, and practice problems.
Network diagram with interconnected nodes labeled: Measure and Compare Objects, Represent Data, Dollars and Cents, Problem Solving with Measure, Skip Counting to 100, Number Strategies, Squares in an Array, Seeing Fraction in Shapes.

Big Ideas

The CA Mathematics Framework encourages a shift from power standards to thinking about math as a series of connected Big Ideas. Each Amplify Desmos Math California lesson supports one or more Big Ideas and the connections between Big Ideas. The grade-level diagram changes through the course based on the math concepts being addressed.

Focus, coherence, and rigor

Each lesson highlights why the content being covered is important, how students will engage with the mathematics, and what students will do with the learning. Our lesson opener helps teachers understand the most important concepts of the lesson, and includes the Drivers of Investigation (DI), Content Connections (CC), and Standards for Mathematical Practice (SMP) that drive learning in each lesson.

An educational slide on addition story problems, detailing goals for solving problems, language goals, and strategies using equal expressions, tens and ones, and number sense.
A screen titled "Match the Score" with a 2D target graph showing various scores. Instructions request four ordered pairs to total 400. Four pairs are listed: (4, 2), (7, 4), (7, 6), (10, 6). A "Try again" button is shown.

Built-in authentic tasks

Mathematics is not learning in isolation. Students are connected to each other’s thinking and can use math to understand the world. With accessible invitations to authentic tasks, all students can experience mathematical success. Amplify Desmos Math California provides these authentic invitations in a variety of ways:

Each unit begins with an “Explore” lesson, which allows students to engage with authentic exploration in low-floor, high-ceiling tasks. These tasks are designed in such a way that all students can access the basic mathematical concepts, but they also offer possibilities for advanced exploration and problem-solving for those ready for more complex work, promoting an inclusive and differentiated learning environment.

Our innovative course-level investigations are designed to facilitate multipart exploration. Students grapple with Big Ideas, diving deep into key concepts that encourage comprehensive understanding. Data science is infused into the approach, equipping students with a strong foundation in interpreting and applying data-driven solutions. The Environmental Principles and Concepts (EP&Cs) are also a focus of our investigations, enabling students to understand and appreciate the coherence and interrelationship of Earth’s environmental systems.

A focus on multilingual and English learners

Children sitting at desks in a classroom with a large illustrated caterpillar on the wall. Beside them are printed educational materials labeled “Amplify Desmos Math” and “Ying’s Aquarium Story.”.

In building Amplify Desmos Math California, we partnered with the English Learner Success Forum (ELSF) to provide guidance on our multilingual/English learner support for teachers. ELSF is a national nonprofit organization that advocates for high-quality instructional materials that are inclusive of multilingual learners. ELSF’s guiding documents reflect research-based instructional strategies that are critical to curriculum design and were created by researchers, linguists, and practitioners from across the country. ELSF reviewed our materials and provided directional guidance and feedback to ensure that the program fully supports multilingual/English learners.

A component of our K–5 curriculum is the engaging unit stories that interweave mathematics with real-life situations and relatable narratives. These unit stories are specifically crafted to inspire curiosity and foster a deep connection between the learner and the math concepts being explored. This unique approach not only makes learning fun and interesting, but also allows our young learners to see themselves in the math.

To help students grow their domain-specific and academic vocabulary, Amplify Desmos Math California provides embedded vocabulary routines, such as prompting teachers to use a Frayer Model. These routines allow students to make connections to new language and offer repeated opportunities to develop and refine language.

Amplify Desmos Math California recognizes the diverse language needs of our students and is designed to be inclusive. Each lesson in the program features a parallel language activity, designed to be available to all students, in the form of teacher guidance and student activities. The activities in the Math Language Development Resource has leveled ELD (Emerging, Expanding, Bridging) differentiation to support all levels of Multilingual and English Learners. This approach ensures that all students, regardless of their language skills, can participate fully, grasp the material, and excel in their mathematical journey.

Uploaded digital glossary for languages other than Spanish. Up to nine languages of translations will be provided for.

Amplify Desmos Math California will include support resources for Spanish-speaking students across TK–Algebra 1/Integrated I beginning in the 20262027 school year.

A computer displays an educational activity about measuring platform heights. A notebook page is layered behind it, with a colorful hamster-themed illustration.

K–5 sample materials

Click the links in the drop-down sections below to explore sample materials from each grade. 

For helpful navigation tips and more program information, download the Amplify Desmos Math Program Guide.

You can also watch a product expert walk through a lesson and the available program components.

Screenshot of a kindergarten curriculum outline featuring units like Math in Our World, Numbers 1-10, Positions and Shapes, Understanding Addition, Making 10, and Shapes All Around Us. This comprehensive program utilizes New York Math standards to build foundational skills.
Program structure

Get to know the content and structure of Kindergarten Amplify Desmos Math California.

Cover of Amplify Desmos Math Grade K Teacher Edition featuring three children playing with math-related objects and a group of rabbits sitting nearby, aligning with the engaging curriculum seen in New York math classrooms.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Counting and Comparing Objects.

Digital educational activity showing a blue backpack illustration with dots, a task to match dots on cards, and printed sheet featuring a similar dot-matching exercise.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math: Student Edition Kindergarten," featuring an illustration of three children playing with math-related toys. A group of small white animals, possibly hamsters, play nearby. The scene brilliantly captures the joy of New York math exploration for young learners.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of "Amplify Desmos Math Grade K Centers Resources" featuring a large, stylized red and pink "C" on a light pink background with simple geometric designs. This distinctive cover complements New York math curriculums with its engaging visual elements.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math: Grade K." The title is displayed with a geometric "I" illustration in the center. Subtitle reads "Intervention and Extension Resources" on a pink and white background, ideal for New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Illustration of a bear choosing a path with more mushrooms. Activity book page titled "A Furry Feast" with groups of objects to compare quantities.

In this lesson, students apply their understanding of how to compare groups of images as they determine which group has more or fewer and then compare their strategies by guiding a bear through a path that has more mushrooms than the other.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

Grade 1 math curriculum overview displaying six units with instructional and assessment days: counting, addition, subtraction, numbers to 10, comparing numbers, measuring length, and geometry—aligned with the New York Math standards.
Program structure

Get to know the content and structure of Grade 1 Amplify Desmos Math California.

Children interact with math activities on a large tablet while observing fish illustrations. The text reads "Amplify Desmos Math Grade 1 Teacher Edition, aligned with New York Math standards.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Story Problems in Maui.

A digital educational activity showing a math problem about leaves on a kalo plant with a related worksheet on plant growth.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Illustration of three children engaged in math activities from the "Amplify Desmos Math: Student Edition 1" textbook. One child holds a number card, while the others manipulate counters and images, experiencing an exciting approach inspired by New York math techniques.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Interactive math activity for kids featuring a frog and number line for subtraction problems, asking to find differences to locate bugs.

In this lesson, students find differences when subtracting 1 and 2 from the same number by helping a frog reach a lily pad where it can eat a bug.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A curriculum overview for Grade 2 in New York Math displaying 8 units, including topics like comparisons, addition, subtraction, and geometric shapes, with details on the number of instructional and assessment days. This plan integrates resources from Amplify Desmos Math to enrich learning experiences.
Program structure

Get to know the content and structure of Grade 2 Amplify Desmos Math California.

Cover of the "Amplify Desmos Math" Grade 2 Teacher Edition, showcasing children measuring with rulers and a poster displaying a mathematical equation, set against whimsical scenery with a colorful dragon. Perfect for New York math classrooms.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Adding and Subtracting.

Two digital worksheets about Theo's aquarium with tasks to estimate animal quantities using draggable graphs and illustrations of fish, frogs, and shrimps.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math Student Edition 2" showing three children performing a New York math activity with blocks and measurements.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of an educational book titled "Amplify Desmos Math Grade 2 Centers Resources" featuring a green "C" on a light green background, perfect for enhancing New York math education.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math Grade 2: Intervention and Extension Resources" featuring a green numeral 1 on a light green background, aligning with the New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Educational activity on a screen showing a worm and blocks with numbers. Another page shows an activity titled "Finding the Missing Pair," with numbered options and a video prompt.

Students continue to develop fluency by finding the number that makes 10 by helping a millipede reach its favorite food – a clump of leaves!

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

An educational curriculum outline for Grade 3 with seven units covering various mathematics topics, including multiplication, shapes, fractions, and measurement. Suggested instructional days are provided. The New York Math approach ensures a thorough understanding of each concept.
Program structure

Get to know the content and structure of Grade 3 Amplify Desmos Math California.

Cover of a "Grade 3 Amplify Desmos Math Teacher Edition" book, featuring a cutaway building with diverse students and a teacher working on New York math problems and organizing materials.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Concepts of Area Measurement.

Math activity screenshot showing a problem to calculate the area of an unpainted wall space with given side lengths in a room diagram.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math Student Edition 3" showcasing illustrated children engaged in various mathematical activities inside a glass house structure, reflecting the dynamic energy of New York math.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of the Amplify Desmos Math Grade 3 Centers Resources book, featuring a 3D letter "C" in blue and white on a minimalistic background, perfect for aligning with New York math standards.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of an "Amplify Cover of the "Amplify Desmos Math" Grade 3 book featuring intervention and extension resources, with a blue geometric "I" on a light blue background, aligning with New York Math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Activity sheets showing a bar graph and a table for counting animal stickers: 7 rabbits, 5 raccoons, and 2 foxes. Includes instructions for arranging data points on a graph.

Students compare data represented on bar graphs with different scales by using animal stickers to create scaled bar graphs.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A course outline for Algebra 1 with 8 units, each detailing the number of instructional and optional days. The total suggested instructional days are 144 and 28 optional days, aligning with New York Math standards.
Program structure

Get to know the content and structure of Grade 4 Amplify Desmos Math California.

Cover of "Amplify Desmos Math: Teacher Edition Grade 4" showing children learning New York Math outdoors, using large mathematical tools and numbers, with one child in a wheelchair.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Size and Location of Fractions.

Screenshot of a digital math activity showing a fraction number line task with a log-cutting visual and an instruction page titled "Locating Fractions.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math, Student Edition, Grade 4," showcasing students collaborating on math problems involving shapes and numbers against a vibrant backdrop that blends cityscapes and natural scenery, capturing the essence of New York math learning.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of the "Amplify Desmos Math" Grade 4 Centers Resources book, featuring a large, stylized blue letter "C" on a light blue background. This essential resource for New York math educators ensures engaging and effective instruction.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math, Grade 4: Intervention and Extension Resources," featuring a geometric illustration and a blue and orange color scheme inspired by New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

An educational activity displays a drag-and-drop task to determine platform heights using tube lengths, showing a room scene and instructions on a digital interface.

Students choose tube lengths to connect to platform heights for hamster homes, identifying possible heights using what they know about multiples.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A Grade 5 curriculum scope and sequence chart with units covering volume, fractions, multiplication, shapes, place value, and measurement. Each unit lists instructional and assessment days to amplify Desmos Math activities.
Program structure

Get to know the content and structure of Grade 5 Amplify Desmos Math California.

Illustration of three students engaging with various math activities outdoors and around large blocks. Text at the top reads "Amplify Desmos Math, Grade 5, Teacher Edition" - a perfect resource for New York math educators.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Fractions as Quotients.

Activity worksheet and digital screen showing a panda on a cliff, with instructions about placing a missing bamboo shoot to help it reach the leaf.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math: Student Edition, Grade 5" featuring students engaged in various mathematical activities outside, such as block building, measuring, and gardening—a perfect resource aligning with New York math standards.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover image of "Amplify Desmos Math Grade 5 Centers Resources" featuring a large purple letter C on a light purple background, showcasing the innovative approach of Amplify Desmos Math that's making waves in New York math education.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math Grade 5: Intervention and Extension Resources," featuring a large, stylized number five in purple against a light purple background with minimal geometric patterns, ideal for New York math curriculum support.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Screen showing a student activity about decomposing a figure into prisms, with a drag-and-drop exercise and an adjacent worksheet labeled "Seeing Prisms.

Students decompose a figure into rectangular prisms and determine the volume of the figure by adding the volumes of the individual prisms.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

6–A1 sample materials

Click the links in the drop-down sections below to explore sample materials from each grade. 

For helpful navigation tips and more program information, download the Amplify Desmos Math Program Guide.

You can also watch a product expert walk through a lesson and the available program components.

Laptop showing a math activity with geometric shapes. Two textbooks titled "Amplify Desmos Math" are displayed above.
An educational document titled "Scope and Sequence" for Grade 6 math, designed in collaboration with Amplify Desmos Math, outlining six units with instructional and optional days for topics such as fractions, integers, and expressions.
Program structure

Get to know the content and structure of Grade 6 Amplify Desmos Math California.

Cover of the Grade 6 Amplify Desmos Math Teacher Edition, showcasing students engaging in various mathematical activities around a balance scale with variables, inspired by New York math educational standards.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from three sub-units on this site: Unit 1, Sub-Unit 1: Area; Unit 3, Sub-Unit 1: Units and Measurement; and Unit 6, Sub-Unit 1: Solving Equations.

A digital activity showing two model trains on a track with a question about speed. A printed page on the right is titled "Model Trains" with warm-up instructions.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of “Amplify Desmos Math, Student Edition, Grade 6” featuring an illustration of children engaging in various New York math-related activities outdoors.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover image of "Amplify Desmos Math" for Grade 6, featuring a 3D pink letter "I" and the text "Intervention and Extension Resources." This New York math edition supports students with comprehensive resources.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

A digital illustration of math balancing scales featuring boxes and a fox, alongside a worksheet displaying similar content and activities for learning math concepts.

Students use equations and tape diagrams to represent seesaw situations and to determine unknown animal weights, helping them make connections between diagrams that represent equations of the form `x+p=q` or `px=q`.

A clear plastic storage box filled with educational math manipulatives, including colorful blocks, shapes, measuring tools, and counting cubes displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A Grade 7 math curriculum outline, featuring units on scale drawings, proportional relationships, measuring circles, rational numbers, operations, equations, angles, area, and probability with sequencing and days allocated. Perfectly aligned with Amplify Desmos Math for New York Math standards.
Program structure

Get to know the content and structure of Grade 7 Amplify Desmos Math California.

Cover image of "Amplify Desmos Math Teacher Edition Grade 7" featuring an illustration of students engaging in math-related activities with geometric shapes and construction elements against a New York cityscape background.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from three sub-units on this site: Unit 1, Sub-Unit 1: Scaled Copies; Unit 4, Sub-Unit 1: Percentages as Proportional Relationships; and Unit 6, Sub-Unit 1: Equations and Tape Diagrams.

Activity page showing a grid for shape creation with an area of 8 square centimeters. Includes shape options and instructions on rotation. A booklet page displays area challenges and warm-up tasks.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math, Student Edition, Grade 7" showing students engaged in math activities against a cityscape reminiscent of New York, with purple geometric structures and a crane in the background.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of "Amplify Desmos Math: Grade 7 – Intervention and Extension Resources" featuring a stylized 3D "I" on a light purple background, ideal for both New York math and national curricula.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Screenshot of an educational website showing a math activity featuring a sheep named Shira. There is a graph and a worksheet on inequalities displayed.

Students solve inequalities with positive and negative coefficients to solve a variety of challenges featuring a fictional sheep who eats grass according to an inequality.

A clear plastic storage box filled with educational math manipulatives, including colorful blocks, shapes, measuring tools, and counting cubes displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

Grade 8 math curriculum chart featuring 9 units, such as Rigid Transformations and Congruence, with Suggested Instructional days. Each unit outlines instructional days, assessment days, and optional days—complemented by insights from Amplify Desmos Math to enhance your New York math learning experience.
Program structure

Get to know the content and structure of Grade 7 Amplify Desmos Math California.

Illustration of children engaging in learning activities outdoors near a large slide. The title "Amplify Desmos Math Grade 8 Teacher Edition" is shown at the top, highlighting its relevance to New York math curriculum standards.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from three sub-units on this site: Unit 1, Sub-Unit 1: Rigid Transformations; Unit 3, Sub-Unit 2: Linear Relationships; and Unit 6, Sub-Unit 2: Analyzing Numerical Data.

Image of a digital math activity titled "Line Capture #2" featuring a grid, equations, and instructions. A paper worksheet with graphs and a "Line Zapper" title is displayed alongside.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of the "Amplify Desmos Math" Student Edition for Grade 8, featuring students engaging in various mathematical activities in a stylized outdoor New York setting.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of "Amplify Desmos Math Grade 8: Intervention and Extension Resources" featuring a stylized "I" on a gray background, tailored for New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

An educational worksheet on robots, featuring a graph with red, purple, and blue robot icons, and instructions for a warm-up activity.

Students connect points on a scatter plot with individuals in a population and rows of data in a table. The analysis of scatter plots continues with data about the eye distances and heights of robots.

A clear plastic storage box filled with educational math manipulatives, including colorful blocks, shapes, measuring tools, and counting cubes displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A course outline for Algebra 1 with 8 units, each detailing the number of instructional and optional days. The total suggested instructional days are 144 and 28 optional days, aligning with New York Math standards.
Program structure

Get to know the content and structure of Algebra 1 Amplify Desmos Math California.

Cover of "Amplify Desmos Math: Algebra 1, Teacher Edition" featuring diverse characters engaged in mathematical activities, with a graph and a bridge in the background, illustrating the vibrant energy of New York math.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from two complete sub-units on this site: Unit 2, Sub-Units 1–2: One-Variable Equations and Multi-Variable Equations.

A digital educational interface shows a graph with data points and textual instructions comparing year and breeding pairs. Adjacent is a page discussing penguin populations with charts and illustrations.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math" Student Edition A1, featuring an illustration of diverse characters engaging in New York math activities against a backdrop of graphs and mathematical concepts.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

A digital math activity screen showing block arrangements and a worksheet page titled "Shelley the Snail" with related graphics.

Students represent the solutions of a situation using a table, a graph, and multiple forms of an equation to identify multiple combinations of blocks that can help Shelley the Snail cross a gap.

Contact us

For questions, samples, or more information, please contact your local Amplify Account Executive:

Erin King
Sales Director, CA
(512) 736-3162
eking@amplify.com

Northern CA
Wendy Garcia
Senior Account Executive
(510) 368-7666
wgarcia@amplify.com

Bay Area
Lance Burbank
Account Executive
(415) 830-5348
lburbank@amplify.com

Central Valley and Central Coast
Demitri Gonos
Senior Account Executive
(559) 355-3244
dgonos@amplify.com

Ventura and L.A. County
Jeff Sorenson
Associate Account Executive
(310) 902-1407
jsorenson@amplify.com

Orange and L.A. County
Lauren Sherman
Senior Account Executive
(949) 397-5766
lsherman@amplify.com

San Bernardino and L.A. County
Michael Gruber
Senior Account Executive
(951) 520-6542
migruber@amplify.com

Riverside and L.A. County
Brian Roy
Account Executive
(818) 967-1674
broy@amplify.com

San Diego County
Kirk Van Wagoner
Senior Account Executive
(760) 696-0709
kvanwagoner@amplify.com

Under 2300 students in Bay Area, Sacramento Valley, and Northern Counties
Kevin Mauser
Lead Account Executive
(815) 534-0148
kmauser@amplify.com

Under 2300 students in Southern CA, Central Coast, and Southern Central Valley Counties
Charissa Snyder
Account Executive
(720) 936-6802
chsnyder@amplify.com

Request additional samples.

Ready to learn more? Connect with an Amplify Desmos Math California expert to request additional program samples.

S2-05: Moving students forward with project-based learning

A promotional image for the podcast "Science Connections" featuring guest Janis Lodge and the topic "Moving students forward with project-based learning." Season 2, Episode 5.

In this episode, Eric Cross sits with K–5 educator Janis Lodge to chat about building on her own science curriculum to create meaningful project-based learning experiences. Janis shares her work teaching Gifted and Talented Education (GATE), and how to use those practices to help accelerate the learning of all students. Eric and Janis also talk about making time for science within K–5 classrooms. Explore more from Science Connections by visiting our main page.

DOWNLOAD TRANSCRIPT

Janis Lodge (00:00):
To me, the reward of having those kids feel like they accomplished something and the way that they can take ownership of it and go in so many different directions, I cannot take that away from them. That’s such an opportunity that if I have the means to do it, I have to just take it and run with it.

Eric Cross (00:18):
Welcome to Science Connections. I’m your host, Eric Cross. My guest today is Janis Lodge. Janis is a third-grade teacher in Orange County, California, with a specialization in gifted and talented education. Recently, Janis was awarded the Orange County Council for the Gifted and Talented Education Classroom grant. This grant funds a project that provides an extension to her third-grade science unit about environments and survival. Through this project, students will think like a biomimicry engineer as they design a robot that is inspired by an innovation found in nature. In this episode, we discuss how she uses interdisciplinary teaching practices to make time for science learning; why gifted and talented education strategies can benefit all students; and her process for creating a problem-based lesson that ultimately earned her a grant for her classroom. And now, please enjoy my conversation with Janis Lodge. One, welcome! Thanks for being here.

Janis Lodge (01:14):
Of course, I am happy to do it. I’m excited for the opportunity.

Eric Cross (01:17):
Of course! Yeah. Elementary school teachers in science, I feel like there’s so many things to have conversations about. And some of the things that you’ve really focused on, I think, are, really, really important. But I wanna start off with your journey of you becoming a teacher in the classroom. And so, would you kind of give your background, your origin story? How did you end up as a third-grade teacher?

Janis Lodge (01:37):
Well, my story is definitely not a traditional story. Before I was a teacher, I was actually living in Maui, Hawaii. I moved there right after college. I went to Chico State in Northern California. And I got a degree in graphic design. And after I graduated, well, I should give a little bit of a backstory. My last summer before graduating, I spent the whole summer in Maui and I just fell in love with it. So when I graduated, I decided instead of applying for jobs in Northern California, I’m just gonna put some resumes out in Maui and see if I can get a job. And I did. I ended up getting a job doing graphic design and marketing for a kite surf company out there. And I ended up just staying for seven years on the island. And after about seven years, I kind of got a little bit of island fever and decided I wanted to come back to California. I wasn’t sure exactly what I wanted to do, but I just had this calling that I need to do something a little more fulfilling with my life. And I started thinking about different ideas and dreams I had. And I actually started thinking about when I was younger, right? I had this dream. If you were to ask me when I was 10 years old what I wanted to be when I grow up, it would be elementary school teacher.

Eric Cross (02:48):
Really?

Janis Lodge (02:48):
Believe it or not. When I was younger, I transformed my bedroom into a classroom. My stuffed animals were my students. I just thought I’m gonna be the next best teacher ever. And you know, as I went through life and kind of went in different directions, I kind of lost sight of that dream a little bit. But for some reason, when I decided to change careers, I just remembered that. And so I just decided to go get my teaching credential and see if it worked out. And it was probably the best decision I made. I feel like everything just fell perfectly into place. I ended up getting a job at an amazing school, and now, five years later, I’m a third grade teacher.

Eric Cross (03:28):
So one of the questions I have to ask, and talking to elementary school teachers, this comes up a lot: How do you make time for science as an elementary school teacher who’s teaching everything? And let me kind of premise this with, at least for those of us in California, and I’m sure the rest of the states too, but we know this; There’s kind of this pressure with pacing and then even, depending on what school you’re at, math and English tend to get the bulk of things. And maybe there’s this perception also of like, well, I gotta teach math and English, and sometimes science gets put to the back burner for different reasons.

Janis Lodge (03:57):
Well, you’re exactly right. The beginning of the year, we were provided with a pacing from the district. And you know, they try to keep us on track, saying, “You should be starting Unit 2 at this time.” But other than that, there’s really no specific guidelines of how many days we’re supposed to be teaching or for how long. But one kind of secret that I’ve discovered is that I can weave science into the other subjects, specifically with language arts. So quite often what I do is I take a look at the language arts standard, and if it’s identifying the key details and the main idea, well I can do that with the science books used from the curriculum. So I’ll just pull those readers and we’ll do the exact same skill, start with the same standard, but we’ll use the content from science. By doing that, we call that kind of like interdisciplinary study. And the students really enjoy that more, too, because they’re using the same skills but they’re diving deeper into the content.

Eric Cross (04:54):
Right.

Janis Lodge (04:55):
And so also that helps build the background knowledge. So then when it comes to time where, if I want to do a science lab or a science investigation, now they already have that background knowledge ’cause we already dove deep into the reading and they can apply that pretty quickly right away into their lab or whatever activity they’re doing.

Eric Cross (05:12):
Can you give an example maybe of how you might pull out something that might be a skill that you’re trying to develop, maybe in an English content, but you would pull that out in a science lesson, maybe? What would you do?

Janis Lodge (05:25):
We’re actually doing that right now. So we’re in our second unit of science and they’re studying inheritance and traits and they’re looking at different organisms to see how they have adaptations to help them survive in their environment. So coincidentally part of the literacy skills is to look at multiple sources, do research, and summarize and make analysis of what they’re reading. And so we have different varied resources. I have websites; I have books, ebooks, videos, and pictures. And they’re choosing which four sources they want to use. And then, then they’re coming up with a summary at the end and then putting together a Google Slides presentation based on whatever organism that they chose.

Eric Cross (06:05):
Did you have a science background before becoming an elementary school teacher?

Janis Lodge (06:11):
Um, none. Besides what I, you know, took in high school and college.

Eric Cross (06:16):
Did you find it easy to kind of lean into the science, or was it something you just kind of jumped into and said, “All right, I’m gonna get after it”?

Janis Lodge (06:23):
What’s interesting is if, you know, throughout my education, my favorite subjects were English and reading and writing and art. And quite honestly, science wasn’t my favorite subject. But I think because of that, that inspires me to come up with creative ways of presenting the information to them and making it exciting and engaging for them, because I don’t want them to feel that way. I want them to be excited about all subjects. And I think that’s the beauty of combining the different subjects like I mentioned before. Like I say, you know, “What would a scholar do? Think like a wildlife biologist. And like with my project, think like a biomimicry engineer.” And so it kind of shifts their thinking. Like, it’s not just, “Oh, we have to study science.” It’s like, “No, you are the scientist; you are a meteorologist; or you are an author. How would an author write about this? How would an illustrator capture this in a photo or a comic strip?” And so, when you really combine those disciplines, you can take it to another level. So even if science isn’t their favorite subject, like maybe it wasn’t for me growing up, they can still take something they’re passionate about and apply the science content to it and they really resonate with them.

Eric Cross (07:37):
You leaned into your strengths. Which are more like, coming into it, you had all these kind of creative strengths. You have that background as a graphics designer. You were into the arts. But then with those strengths, did that kinda give you more confidence to dive into the science work, because you approached it from your assets that you were already coming to the table with?

Janis Lodge (07:55):
Yeah.You said it perfectly. If you look at it from a different lens, there’s all these different ways you can approach science.

Eric Cross (07:59):
I find it in my own science class, too. We’re all teaching the same standards. But how I approach it is through Eric Cross’s kind of personality and understanding and my angle, and another teacher might do it a different way. But we’re all leading to the same destination.

Janis Lodge (08:14):
Exactly.

Eric Cross (08:15):
That kind of leads me to my next question, and this is having to do with the project that you just alluded to. The biomimicry project. So you did a biomimicry project. Would you consider that like a project based-learning assignment?

Janis Lodge (08:26):
Well, this will be the third year that I’ve taught this unit. And when I wrapped it up last year, it’s through the Amplify Science program, and they do a wonderful job of having a lot of investigations and really thinking like a biomimicry engineer. But the final part of the unit was to design a robot inspired by a giraffe, to eliminate invasive plants in a particular environment. And the project part of it at the end was to create a model using Popsicle sticks and pipe cleaners. And then the other part of it was a digital simulation where they would put in different shape structures of teeth, and kind of reconfigure the shape of the mouth. And then they’d put in what they think is effective, and then the computer would say, oh, you’re 98% successful or 70% successful. And I remember at the end of it the students were like, “OK, well when do we make the robots?” And I thought, “Well, we’re just doing the simulation, or we’re just doing this model out of Popsicle sticks; we’re not actually gonna make a robot.” And they just seemed so disappointed. And that’s kind of how the wheels started turning my head like, “Well, what if they actually could make a robot? The only thing stopping me is I don’t have the materials to do it.” So, shortly after that unit wrapped up, coincidentally I saw the email about this grant opportunity that was being offered through the Orange County Council for Gifted Education. And they said, If you have a project that you wanna get funded that would promote GATE strategies within the classroom, then you can submit this proposal. So that’s how the ball got rolling for that proposal. And I researched different robotics kits and different companies and I found one that was really user-friendly for third graders, and not so difficult for me to learn as well.

Eric Cross (10:10):
You’re a risk taker. Like, I’m already seeing this as I’m talking to you. Is that just who you are or do you have a network? Like what keeps you taking these risks?

Janis Lodge (10:18):
I don’t really consider it a risk, because it’s exciting for me. Like I said, I don’t know that much about robotics, but the idea of learning more and then teaching that to my students is exciting. And you know, there was a little bit of risk ’cause I’m deviating a little bit from the curriculum, from the standard lesson, but to me, the reward of having those kids feel like they accomplished something, and the way that they can take ownership of it and go in so many different directions, and on top of that, develop coding skills and computer science skills and robotic skills, to me it was just like I cannot take that away from them. That’s such an opportunity that if I have the means to do it, I have to just take it and run with it. So I think just being inspired by the potential outcomes of what could happen is what made me take that risk.

Eric Cross (11:05):
Did you just kind of create this from scratch? Did you work with a team of people? How did you come to the point where you were ready to present this for the grant?

Janis Lodge (11:12):
Pretty much from scratch. Like I said, the Amplify unit, it does teach them about robotics that were inspired by nature. So some of the materials that they read, and there’s some videos that show really great examples. There’s like a robotic arm that was inspired by an elephant trunk. There’s a book that shows what this field is, biomimicry engineer, they actually show like what they do in that field. And I thought this is a perfect way to apply it because the curriculum’s already pretty much set it up for me; now I just have to add this one final component to it. And essentially it becomes project-based learning at that point, because they’re taking their knowledge and their skills that they’ve learned up to that point. Even the unit that we’re doing doing right now is building up to it. So it’s kind of that final—instead of giving them a test at the end and saying, “OK, tell me what you learned about inheritance and traits and environments,” they can actually take that knowledge and apply it to an innovation or creation that comes out of their own mind, which is so much more powerful.

Eric Cross (12:11):
Do they connect to any other learning goals as they’re doing these projects?

Janis Lodge (12:15):
Well, I think first and foremost, the 21st century skills that from day one I tell them, the four Cs: collaboration, creativity, communication, and critical thinking. All of those are woven in through this lesson. From the beginning, we talked about the whole engineering design process. So from the beginning, they start with a question and oftentimes that actually can be the hardest for them to think about, “What’s a scientific question or a problem that I wanna solve?” If they’re passionate about, maybe, a sport or the environment or something within their school, I go, “There it is. OK, that’s the problem. How can you design something inspired by nature to solve that problem?” And then, from there they go into the planning and the designing and the testing and then the improving. So going through that engineering design process, I think, is what really makes them feel like they are the engineer going through this. And they can make mistakes. They can take risks. A lot of my students I’ve found are afraid to take risks. They wanna make sure they succeed. And they need that challenge to know that if they do fail, that’s OK. We can just revisit this. We can test it. We can look at it in a different way.

Eric Cross (13:27):
You maybe wonder about, how do you assess something like this?

Janis Lodge (13:30):
I think that’s where all those stages along the way are important. Because I wanna make sure that they have a plan and that it’s based on the knowledge that they’ve gained in the unit. I think one of the other things about project-based learning is the final product of how they demonstrate their mastery. And in my classroom I oftentimes give them a choice of how they’re gonna present that to me. So maybe they’re going to write it out like an essay. Maybe they’re gonna create a Google slide. Maybe they’re gonna make a video. Maybe they’re going to—obviously in this part they will have the model, but they’ll have to have some way to explain it to me. And I think giving them that choice gives them the opportunity to show it in the way that’s meaningful to them.

Eric Cross (14:14):
And are you using like a rubric when you’re grading these assignments? Or, how do you actually grade it?

Janis Lodge (14:20):
Yes. So we have a rubric that’s provided to us for the written component that all the students will do at the end. But I can take that same rubric and see if they’ve applied that to the project. So even the verbiage wouldn’t really need to change. I think it’s still important that the students are able to demonstrate this in written form and so all of them will still complete that written component, but to also give them the opportunity to show that in the modality of their choice. I think is really important too.

Eric Cross (14:48):
Right. And you have some students that feel much more comfortable being able to present orally versus—

Janis Lodge (14:53):
Exactly.

Eric Cross (14:53):
—versus writing versus maybe doing a video. I mean, we see that in middle school and in high school too. Students show their knowledge or their understanding of a topic depending on the medium in different ways, and some better than others. Some may find that they can communicate it a lot better orally, but when pen goes to paper or fingers go to keyboard, you might grade it completely different, ’cause they’re not able to transfer what’s in their mind into writing. And the way you’re doing it, and giving that student choice, they probably have so much more buy-in, I’d imagine, because they get to pick what they get to do.

Janis Lodge (15:21):
Right.

Eric Cross (15:22):
You said something earlier and I wanna come back to it. So you mentioned GATE, and GATE is not something that I hear a lot in my world, but it was something I heard a lot when I was in school. There were kind of all of these perceptions and ideas about GATE. You’re a GATE teacher, correct?

Janis Lodge (15:38):
Right.

Eric Cross (15:39):
What is GATE, and what is it like being a GATE teacher? What are the misconceptions, if any, that you might have heard or come across?

Janis Lodge (15:46):
Well, so GATE stands for Gifted and Talented Education. And first and foremost, I think a misconception is that we’re just kind of doing whatever we want; we come up with our own lessons and teach a totally different curriculum. Which is definitely a myth. Because we start with the exact same standards as any other third grade class that you’d walk into. That’s definitely where we start. But I think in addition to the standards, we also implement what are called GATE standards: So they’re Depth, Complexity, Acceleration, and Novelty. And there’s a lot of tools that we use in the classroom, different strategies. You’ll see things like the prompts of Depth and Complexity. We’ll use things like “think like a disciplinarian”; I’m doing “think like a biomimicry engineer.” But really, all they are are just thinking tools and strategies to elevate students thinking and kind of go below that surface level of the content to dive deeper. It also provides opportunities for acceleration. So for example, our last science unit, it was on magnetic force, and there was a handful of students that just grasped the concepts right away, and they’re ready for something else. They’re ready for more rigor. They need some challenge. And so at that point I can kind of pull that group aside and provide some differentiation for them. And I said, “OK, well, you understand the concept of magnetic force, balanced forces. So now what I want you to do is think about something that you’re really passionate about, and how could you use magnetic force somewhere in that field—again to solve a problem, problem-based learning—and present it to me?” So they create this form, it’s like a “think like a disciplinarian” frame, and one of them was “think like a hockey player.” And he’s trying to think of a way that he can incorporate magnetic force. Anyway, I could go on and on. But basically it’s finding what these students’ passions are. And I do that with all my students. And I should probably preface this by saying that even though these are standards that I implement in my classroom because it’s a GATE classroom, these are practices and tools that can be applied to any learner, at any age. And they really just enrich the education for all students.

Eric Cross (18:02):
So your classroom is, is a mixed classroom. There’s GATE students and then general—

Janis Lodge (18:05):
Right.

Eric Cross (18:07):
—students, non-GATE students, in the same class. It’s interesting because I imagine GATE is kind of scaffolding up to a higher level, but then, you also said something that I’ve noticed when I’m creating scaffolds for my students to support them, who may not be at a grade level, maybe in reading or literacy or math, those same scaffolds can help all students.

Janis Lodge (18:27):
So yeah, I don’t just go, “OK, you’re my GATE students; I’m gonna use these practices on you.” I use it for the whole class. But I’m also surprised by having that mix of these different learning styles. A lot of times students are inspired by other students, or, you know, we have this big thing about one of the prompts is Multiple Perspectives. I try to do that as much as I can, because students are inspired by the ideas of their peers. And quite often, if they hear it from a peer, it could be exactly what I just said, but they heard their student say it in a different way and it just clicks and they’re like, “Wow, I get that.”

Eric Cross (19:00):
I think a lot of teachers struggle or, or maybe feel ill-equipped, to support higher-level students. Did you get trained to be a GATE teacher? First lemme ask that question: Did you get special training for this?

Janis Lodge (19:13):
Yes. I went through a course, I think it was like a six-week certification course, through my district.

Eric Cross (19:19):
OK, so you got a special training, which—I’ve been in the classroom for nine years; I teach at a university as an adjunct professor; but I’ve never been trained on teaching gifted or accelerated students. And I’m kind of wondering now, like, do you feel like it made you a better teacher?

Janis Lodge (19:33):
Absolutely.

Eric Cross (19:34):
And if so, how do I get to do this?

Janis Lodge (19:36):
Well, it’s through the county. I mean, anybody can get trained and certified how to teach this way. But, just like you said, I think coming out of that, my eyes were just open, and my biggest takeaway is that these practices, even though they are designed for gifted and talented, it really kind of reshaped my thinking about how I, number one, present material to the students, that I’m doing it in an engaging way, and I’m not just lecturing at them; there’s opportunities for them to collaborate and communicate and use multiple resources. So, you know, how I’m teaching has changed. And then also, how I’m providing opportunities for them to demonstrate their learning. And a lot of that is project-based learning, because once they have the knowledge and skills they need to do something with it. I mean, that’s really the true definition of innovation, is taking the skills or taking something that you’ve learned, and now go with it. Run with it.

Eric Cross (20:32):
How can we take what you’ve learned and then kind of spread it, so teachers have this in their toolkit, too? Like for me, I have multiple ways to be able to support reading and literacy and math and tools and sentence frames. And my students who have special learning plans, I have a have a lot of tool sets for that. I wanna build my tool sets for this other area for my students who want to continue, who wanna run, or go beyond, or even stretch themselves. I think we need to take some of the things that you’re doing and not make them kind of like this exclusive group, but also let’s share it with everyone, ’cause if everybody can access it—

Janis Lodge (21:03):
I agree.

Eric Cross (21:03):
—we might see a lot more potential or a lot more opportunities for students who might not otherwise have them.

Janis Lodge (21:08):
And one thing: My school, I’m really proud to say that my principal has seen that. You know, he’s like, “Well why are we just keeping this in the GATE classroom?” So he’s working on getting all of our teachers certified.

Eric Cross (21:19):
No, I love what you’re doing and your principal sounds, sounds awesome for doing that and recognizing that this can benefit more students than just the ones who, you know, pass the Raisin Test, I think it’s what it was called when I was taking it, or whatever it is back then.

Janis Lodge (21:31):
Exactly.

Eric Cross (21:32):
We’ve talked about project-based learning, the GATE classroom…I kind of wanna come back to you as we wrap up. Thinking about, like, the jobs that you and I do, and the people that listen to this podcast, we have one of the few jobs that people remember us for a lifetime. And I wanna ask you, who was someone that was maybe inspirational in your educational career, that inspired you, or is maybe one of the most memorable? You might have several…but who is someone that was memorable to you in your career, and why? Why were they memorable to you?

Janis Lodge (22:02):
Yeah. Well, obviously, when I was younger, I was definitely inspired by all my teachers. The fact that I turned my bedroom into a classroom…I just was just in awe of this profession. But I think one that really resonated with me was my junior year in high school. I was taking a newspaper class and the teacher was Mrs. Kavanaugh, and she really taught us everything from writing the articles to the editing, to putting the pages together. And I remember in that class I was working on this program called QuarkXPress. I don’t even know if it exists anymore. But I was just fascinated with putting all these pieces together that we’d worked on for so long and getting the articles, picking the pictures, the illustrations and the titles. And I remember her looking at me saying, “You really enjoy this, don’t you?” And I said, “Yeah.” And she said, “Well, I have a computer graphics elective class that you should take next year.” And I thought, “OK, I’d love to do this, this opportunity to expand my knowledge and my skills.” So because of that, I took the computer graphics class the next year and I just remember throughout the whole time, she was just constantly encouraging me and acknowledging my skills. And I find myself doing that as a teacher as well. ‘Cause that really resonated with me. And it’s funny, this summer I was going through some boxes of some old stuff from high school, and I found this handout that I had made, because I remember my senior year of high school, she said, “Janis, you know what? You’re doing such a great job; we have these new, incoming students coming into the newspaper class, and I’d love for you to actually teach them how to do this pagination on this QuarkXPress program. I want you to put something together and actually teach it to them.” I thought, “Wow, she believes in me that much that she’s gonna let me teach this to the incoming students.” But I think my takeaway from that was that she gave me the opportunity to take those skills and actually do something with them, to apply them right away.

Eric Cross (23:53):
Mrs. Kavanaugh. Miss Kavanaugh. Shout-out to Miss Kavanaugh. As you told that story, I heard you as a teacher because I’m hearing she’s applying these GATE strategies in that situation. That’s what that’s what I heard.

Janis Lodge (24:08):
Yeah, absolutely.

Eric Cross (24:09):
She personalized this learning. She created a specialized opportunity. You presented to a real audience that was authentic. It had this personalization in it and this rigor and this challenge and it made a huge impact. And it’s just amazing to listen to you and hear this come full-circle, and now you’re doing this with little ones. And I just wanna thank you for your time in doing the interview, sharing your story with how you became a teacher, your students, the projects that you do. And just like so many teachers, going the extra mile for your kids and bringing in these really important 21st century skills; they’re gonna be so much better off for it. And I know it makes my job easier when I get them in the classroom, so thank you.

Janis Lodge (24:49):
Yeah. Well, thank you for the opportunity.

Eric Cross (24:51):
My pleasure. Thanks so much for listening and we wanna hear more about you and the educators who inspire you. You can nominate them as a future guest on Science Connections by emailing STEM@amplify.com. That’s S -T-E-M at amplify dot com. And be sure to click subscribe, wherever you listen to podcasts, and join our Facebook group, Science Connections: The Community. Until next time.

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What Janis Lodge says about science

“The reward of having kids feel like they accomplished something and take ownership is such an opportunity [with project-based learning] that I have to run with it. Being inspired by the potential outcomes of what could happen is what made me take that risk.”

– Janice Lodge

3rd Grade Teacher, De Portola Elementary

Meet the guest

Janis Lodge is a third grade teacher in Orange County, California. Her career in education started six years ago when she decided to follow her passion of making a positive difference in the lives of young scholars. Prior to teaching, Janis lived in Maui, Hawaii for seven years, working in the field of graphic design, marketing, and hospitality. She has found that her interest in innovation, project-based learning, and inquiry-driven exploration has helped shape her into the educator she is today. STEAM is integrated regularly into her classroom, and her students continually develop 21st century skills through a variety of unique projects. ​​Janis is also a PAL (Peer Assistance Leadership) Advisor for her school, where she helps young leaders (4th-6th graders) cultivate their leadership skills and empowers them to make a positive difference in their school and community. Janis was recently awarded the Orange County Council for the Gifted & Talented Education Classroom Grant, which will provide an extension to the third grade Amplify Science Unit: Environments and Survival.

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About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. Listen here!

S1-10: Empowering the science educator: Jessica Kesler

Promotional graphic for "science connections podcast" season 1, episode 10, featuring a smiling black woman named Jessica Kesler, with educational icons like a globe and magnifying glass around her.

In the final episode of the season, Eric sits down with his friend and professional development facilitator, Jessica Kesler. Jessica describes her passion for sharing free, high-quality, empathy-centered professional development for K12 educators. Jessica also shares her experience jumping into leadership positions while teaching in Philadelphia. Eric also chats with Jessica about how students often lean on teachers for more than delivering content. Explore more from Science Connections by visiting our main page.

Download Transcript

Jessica Kesler (00:01):

One student at a time, isn’t gonna bring a million students through the door. But if we focus on their teachers, then they can implement it in their classroom and have this multiplicative effect that can continue on and help us to reach those millions of kids and helping them be prepared for future careers.

Eric Cross (00:19):

Welcome to science connections. I’m your host. Eric Cross. My guest today is Jessica Kessler. Jessica’s director of professional learning at TGR foundation, which is a tiger woods charity. There she creates and leads free stem, professional learning opportunities for educators across the country. Prior to working at TGR, Jessica worked as an elementary, middle and high school science teacher while fulfilling several leadership roles, including science department, chair and principal intern. In this episode, Jessica shares some of her classroom experiences while working in Philadelphia, where she was in classrooms, where her students needed her to be more than just her content. She also addresses how designing professional learning with empathy for teachers in mind creates better experiences for teachers. And now please enjoy my discussion with Jessica Kessler. So let’s, let’s start off with St. Joseph’s chemistry college to the classroom, like your origin story. What led you to ultimately get into the classroom and being successful, even just looking at, at your kinda like your resume or your CV of all of the things that you’ve done. You definitely weren’t idle, but start off with chem. Yeah. Like where did that passion come from?

Jessica Kesler (01:27):

Yeah. So when I was younger, I just had this burning passion to help people. Right. And when you’re young and you think about helping people, you think about doctors, doctors help people. Right. So I had this idea that I wanna be a surgeon. I wanna be a black surgeon. I wanna be a young girl, female Charles drew, and I just wanna go out there and do it. And so my mom is actually an alum of St Joe’s. So I spent a lot of time on campus cuz as she was getting her mini master’s degrees I will visit campus with her often. And so when I applied, I had the scholarships, had everything and I went in ready to be bio ready to be a surgeon. I took my first bio class and I was like, yes, let’s talk about the human body. And let’s get into dissections and sections. And they were like, okay, so a plant so has this. And I was like, Ooh <laugh> I was like, this is not what I was expecting at all. It just felt so detached from the trajectory that I wanted to take. And it just did not feed that passion of helping people in the immediate moment.

Eric Cross (02:31):

Did it, did it feel too abstract?

Jessica Kesler (02:33):

It felt abstract. It felt boring. Okay. And one thing I didn’t want was to be like stuck, bored. Like if I’m not being stimulated in a good way, mm-hmm <affirmative> then it’s not gonna last, but I love science. So I switched over to chemistry cuz I’m like this chemistry is exciting. I’m mixing things together. I’m producing new things. I’m doing extractions. I’m being introduced to machinery that I haven’t seen before. I’m loving it. I’m doing a math. The math is awesome. And so I switched over to chem and I started doing research in the summers and things like that. My research was around water quality in Philadelphia and looking at different natural water sources and comparing them and all those great things. But I was in a lab and the lab had no windows and I was stuck talking to this atomic absorption specter every day.

Jessica Kesler (03:24):

And I hit that, that wall again, where it was like, is this the rest of my life? Like talking to these machines and not having windows and not being able to interact with people. What is this? This can’t be life. And so I was seeking out some new opportunities that said, Hey, I need more money. First of all. So I’m like, I call the financial aid office like every week, like, Hey, what’s out today. What new scholarships do you have? I’m applying for everything. Like it was my goal to not have to pay for much of my education. And so I was talking to them and they’re like, Hey, you’re in science. There’s this awesome opportunity called a noise scholarship where they’ll pay for your last year and your master’s degree. If you go into education mm-hmm <affirmative> and I sat on it and I was like, this makes so much sense to me.

Jessica Kesler (04:12):

I was like, I’ve been literally tutoring my peers and teaching in churches and all this other kind of stuff. My whole life. It makes so much sense. How come nobody ever said this before? <Laugh> and so I applied for the noise scholarship, got in and started, you know, mm-hmm, <affirmative> doing practicums in the classroom as I went through my last year as a chemistry major and my first year for my masters and it just felt so right. And I was like, I can do this. And of course there were a lot of people who told me, no, Josh, you can’t do that. Like these kids will eat you alive. And I’m like I don’t think so. <Laugh> but, but that’s give it a go. And I stepped into the classroom and it, it just felt like, felt like it was always meant to be there.

Eric Cross (04:57):

So you were able to, you were able to make that connection between, I mean, if you’re, if you’re studying chemistry and bio and going into stem, I mean, there’s, there’s an aptitude there, but then you realize that this there’s a road that you could take that leads you into a room with no windows. And you’re just hanging out with machines all day

Jessica Kesler (05:14):

And I’m not helping people. Right. Right. And that was, my passion was like, I’m not helping people sitting in this room. I need to be a person that’s outside telling people about what happens in the room. Right. And how they can get involved and like what’s going on in here. Like that’s, that’s where I can be useful.

Eric Cross (05:28):

When you were, you were in Philly when you were teaching, what were you teaching when you were there?

Jessica Kesler (05:33):

So I started off teaching eighth grade science first job in north Philadelphia, teaching eighth grade science and just a, a funding tangent that first day a student called me a B

Eric Cross (05:44):

Trial by fire

Jessica Kesler (05:45):

Trial by fire called me out in front of like the whole floor. We were outside doing line drills and just was like, I hate you miss Kusa your B. And I was like, oh, this is it. This is it. This is where you stand your ground and you take it or you, you bail out <laugh> and you go back into the lab mm-hmm <affirmative>. And of course at the end of that, that traumatic experience between all the kids, like two months later, she wanted me to adopt her. So like everything comes full circles. Right.

Eric Cross (06:10):

That’s how it is. Right.

Jessica Kesler (06:11):

But I started teaching eighth grade science. There’s not a lot of science teachers at that level who actually have a science background. Most of them have elementary school background. So I’m the only scientist walking into the science classroom and saying, this is how science actually works. And so I ended up taking a lot of onus of science while I was there. Ended up building out the K through eight curriculum for science. I ended up doing like a science strategic plan to submit to the district. I ended up leading out our first couple stem nights and like really leading the stem department and kind of our science department. And this was as like a second, third year teacher <laugh> know, but nobody else had the science mm-hmm, <affirmative> the way that I had the science and the education. So it really opened up a door for me to be able to, to run full steam with all those things.

Eric Cross (07:04):

So MI was it primarily middle school during those, those years that you were there?

Jessica Kesler (07:07):

So there, I started with middle school and I did that purposefully because I was still young and I wanted there to be a good age gap between me and the students. And then I moved up to high school and taught high school chemistry, also taught a couple other different subjects while I was at that school. But primarily high school chemistry. Then I actually took a big leap down and I said, okay. I was going for my second master’s degree in educational leadership. And I was going for my principal cert. And I said, if I’m gonna be a principal of a school, then I need to understand all the levels of education and how they operate, cuz they operate really differently. So I said, I started in middle school, went to high school. I don’t have elementary school experience. In fact, I’d spent a day in a kindergarten classroom and I was like this never again, but I was like, I need to go back down there and I need to figure out how this system works because you know, I never know where I’m gonna land as far as principalship.

Jessica Kesler (08:01):

So I went and taught fourth grade.

Eric Cross (08:03):

How was that experience?

Jessica Kesler (08:05):

So imagine me going from teaching high school, seniors and juniors Uhhuh and like they’re self-sufficient and you know, they’re independent, they’re driving to school and all these things. And then I immediately drop down and go into fourth grade where these kids are crying every five seconds. They still have like a lot of bodily fluids, like there’s noses running and things. And like <laugh>, I was like a fish outta water. I was like, what is this? What’s going on down here. But those kids pour out so much love. And they, you, you become another parent to them. Mm-Hmm <affirmative> your high schoolers know who their parents are. They kind of are finding their place in society, but the little ones, they only know big people as parents, small people as equal. So they see you as another parent. So it taught me a lot about, you know, patience and breaking information down, even smaller. I had to figure out new and inventive ways to teach science and bring it down so far that they would be able to grab onto it and achieve it. And it was a challenge, but at the end it paid off, we were running, we were hitting like great markers for all of our PSSA goals that year. I mean, we were really knocking it out the park

Eric Cross (09:17):

And this backstory leads into how we met and adds to the picture as to why I really want to have you on, because your involvement with TGR, which is where I want to go next for the folks listening. I bet a lot of them have no idea what it’s about, just like I did. And now me learning about TGR foundation and meeting you I would love to make sure that everyone knows about it and what they offer.

Jessica Kesler (09:39):

Absolutely. So TGR foundation, a tiger woods charity was founded by tiger woods and his father with a mission to really introduced them education to students in low income minority populations and prepare them for success in their world and their future careers moving forward. And so was founded in 1996 and went through several changes in iterations since 1996. But eventually opened up its first learning lab, which is in Anaheim, California. And through the learning lab, they opened up these satellite sites. So they basically partner with schools to provide after school education and robotics and wearable electronics and things like that. And they would partner with schools to teach these courses after school, they would pay the teacher, pay for the materials and stuff like that to provide more opportunity for students in different areas. And so that’s how I was introduced to the foundation because while I was teaching high school my good friend and previous manager, Jason Porter shout out to JP Jason Porter used to lead the tiger woods foundation when it was the tiger woods foundation.

Jessica Kesler (10:52):

He used to lead the afterschool program. And when I joined that high school, he said, Jess, you got all this great content, knowledge, all this great enthusiasm, and we wanna get more women into this robotics. We wanna get them engaged in this process of, of stuff. And you will be a great role model to start bringing in more of our female students. And I was like, great, sign me up. And that’s where I started working with the TGR foundation, right after school programs, getting my students into robotics, competitions and clubs, doing different challenges and design challenges. And then after some time, a few years, they actually needed someone to come to the DC area and support the development of professional learning and partnerships here in DC, as they were continuing to expand. And really it came out of the idea that tiger gave this big mission to the organization that he wanted to reach millions of kids.

Jessica Kesler (11:48):

He said millions and everybody said, what millions, what M <laugh>. So the foundation was like, okay, well we can’t reach millions by just tackling one student at a time, right? Not one student at a time, isn’t gonna bring a million people or students through the door. But if we focus on their teachers, mm-hmm <affirmative>, then those teachers not only spend most of their day with these students and learn the basics of their skills with these students. But each one of those teachers has 30 to 150 200 students that they see every day. And that’s how we multiply this effect. So we train the teachers on all the stem competencies and the pedagogical tools and strategies to implement the stem that we’re doing in our learning labs. And then they can implement it in our classroom and have this multiplicative effect that can continue on and help us to reach those millions of kids and helping them be prepared for future careers.

Eric Cross (12:44):

And so D divide the effort, multiply the effects. Exactly. And then when I was exposed to it, this was over zoom. Now, how long has it been going on? Has it always been virtualized or did you do the, were you all doing this before? We all went online

Jessica Kesler (12:57):

Before the pandemic man, the glory days, right before pandemic, it feels like I’m talking about prehistoric times, right? Like back in the dinosaur, like era, like, I don’t know, pre we actually did these workshops in a person. So we would invite people to come to DC, invite teachers in Philadelphia to do a Philly one. We were in New Mexico. We were in Florida. We were, I mean, we were everywhere and this would be a extremely hands on engaging workshops. So not only do we focus on this is the theory and the philosophy behind the pedagogy, but we would also focus on like creating a student experience for the teacher, having the teacher flip into student mode and put on that student hat and actually go through sample lessons, model lessons and activities as the student so that they can feel it. So you can feel if, if you feel confused, your students are gonna feel confused.

Jessica Kesler (13:52):

If you feel like this is challenging, you, your students are gonna feel the challenge. If you are, don’t understand the instructions, your students will understand the instructions. So it gives us a different perspective and it puts us in their shoes. So we can better empathize with them and create more responsive lesson planning. So we flipped them into that student role for that purpose. When COVID hit, we went virtual, but virtual allowed us to reach teachers that we probably would’ve never hit. So it was kind of that blessing and disguise, right? It was like we didn’t keep people as long cuz obviously virtually you’re not, you don’t wanna stare at a screen for eight hours. So we cut it down. We revised it a little bit, but we kept the hands on philosophy and feel of it going by, you know, using materials that they could find at home really modeling what education could look like.

Jessica Kesler (14:41):

Mm-Hmm <affirmative> if you used your Z zoom room to capacity, or if you had these materials and resources or rethought your lesson plans and structures. So we went virtual and not only were we able to hit so many more thirst that first year thirsty educators ready to get, dive into it, ready for some comradery with fellow educators. But we were also able to expand our international network. We were able to get so many international educators through our global work that it was, it was beyond what we had when we were in person. So it really had this skyrocketing effect.

Eric Cross (15:20):

There’s professional learning pathways and then virtual stem studio. Is that right for professional development for like teachers who are listening, are those the two kind of main prongs?

Jessica Kesler (15:30):

Yeah. So a stem studio is basically just one, right? And a pathway is a collection. So we now offer four stem studios, four separate stem studios. The first one is on inquiry mindset. You attended that one area. And it’s really about for teachers who are changing their perspective on what the classroom should look and feel like, especially administrators too. It’s about developing that inquiry mindset. So you understand and you feel, and you practice and you learn the tools that are necessary for inquiry to happen in your classroom. We never promote overhauling your classroom. We’re just saying, add a little bit here and there and see how it impacts your students. The second one is on making inquiry, visible, making inquiry visible is all about making students thinking visible in the moment. What are tools and strategies that you use so that students can illuminate their thinking for themselves, but for you and their peers as well and how we benefit from that.

Jessica Kesler (16:28):

So not only do the students get to see their own thinking as they progress and you get to tell the story of how their minds have evolved, but you, as the teacher get to see, oh, this is where everyone is making the mistake, or this is how this misconception came about. Or this is where I need to target for my next lesson. So it makes you more responsive in the moment. And then the third and fourth one where we’re actually launching for a small group this summer, it won’t be available to the masses until maybe a year or two down the line. We have one small group that we’re just going to test it out with. The third one is about developing your inquiry environment. So thinking not just about your physical space, but thinking about your intellectual space too. So what are the things that you can embed into your physical space and develop in a student’s intellectual space that will help you create a holistic inquiry environment?

Eric Cross (17:22):

So this is this inquiry space, not just physical, but then also the intellectual environment

Jessica Kesler (17:26):

Intellectual. Exactly. And it focuses in on the design process and how we design spaces. Because as a teacher, we take a lot of background in the background onus of de creating these spaces. If you take someone out of an old habit or space and tell them, oh, we are gonna change in your minds and teach inquiry, but put them back in the same environment, they’re gonna be conflicted, right? Their bodies wanna do one thing, their minds wanna do another thing. And they don’t know how to bridge the gap between the two. So this is a really illuminating, like how do you change all the spaces? How do you design a flow in space in your classroom and in your students thinking that allows them to be productive in that inquiry environment. It’s really good stuff

Eric Cross (18:11):

Who creates these experiences for teachers.

Jessica Kesler (18:14):

We do. So me and my teammate, Holly, Dard shout out HD. Holly Dard, we really put our brains together and developed these. So it’s a really a team effort because like Jason Porter, Eric even David Tong when he was with us, really collectively thought about what it is that we wanted educators to experience. And then Holly and I do a lot of the grunt work, but then we really collectively put it all together and make it what it is. So I have a heavy hand and a lot of that. And in fact, inquiry four is all about the entrepreneurial mindset. So oftentimes educators don’t consider themselves entrepreneurs, but if you take a look at what an entrepreneur is and what they do on a regular basis, educators are entrepreneurs, but we are missing an opportunity to use our entrepreneurialship in the classroom to drive for stem competencies in inquiry based practices. And so in, in stem studio, four, we really focus in on how the educator is the entrepreneur of their classroom, but also uses entrepreneurial techniques to tackle issues in their schools, districts, and spheres of influence. So it’s really taking the educator to the next level of their teaching practice through entrepreneurship. This is some deep stuff.

Eric Cross (19:37):

It is, well, this entrepreneurial mindset is, is something that I’ve heard before. And I definitely see the link between even the term teacherpreneur beyond just selling lessons on teachers, pay teachers. <Laugh> it’s way bigger than that,

Jessica Kesler (19:52):

Where entrepreneurs actually in the classroom, not just because we do things on the side to make money. Exactly.

Eric Cross (19:57):

A lot of teachers hear that. They’re like, yeah, I got, you know, I got, got a few jobs going on. Exactly. Yeah. And, and I think one thing we, I should have said this earlier, and I’ll, I’ll say the intro, but these are all free.

Jessica Kesler (20:07):

This is largely sponsored by do OD stem as well. So we have a partnership with D O D stem and they have been driving forth the department of defenses, strategic stem plan for years. And as a part of that, they give us funding in order to provide these opportunities for educators for free. So literally educators don’t have to come with anything. And we are giving you not only the content of our, our lessons and our instruction, but we’re also going give you a chance to earn a free micro credential. So people are spending 12 plus hours with us in a workshop which sounds like a lot of time, but it’s over a series of time and days. But we wanna give you something that means something after that, we wanna give you a micro credential to add to your resume, to show your administrator, to show that you have achieved the next level in your professional learning career.

Jessica Kesler (20:59):

Right? And if you finish the pathway, which is all for, then we give you our TGR foundation certificate that says that you’ve completed so much professional learning in these areas that you are basically a warrior of inquiry that you are ready to go out and really lay inquiry out in new creative ways, not in your CLA just in your classroom, but everywhere you go in your district, in your school. And on top of that, we just offer so many other great free partnership incentives like discovery, education, experience licenses. We’re doing raffles this summer. We’re giving out free a free meal voucher so that you can get some lunch. One of these days we’re offering $50 gift cards so that people can get school supplies. So anything you do with us, and you’re like, man, I really wish I could have this so that I can do that in my classroom. We wanna break down all the barriers that prevent teachers from doing this stuff in their classroom, actively engaging in this stuff. And we give you a free copy of the books that we reference. Again, trying to break down the barriers,

Eric Cross (22:00):

What are some of the things that you’ve noticed kind of being on both sides of science teaching in the classroom, and then in training trends with teachers, things like moments that have been great or, or challenges that you’re noticing teachers experiencing, especially maybe changes in differences from a, from, you know, an outsider’s perspective. Seeing what teachers are experiencing are like, since you’ve been doing PDs for folks.

Jessica Kesler (22:22):

Yeah. So it’s actually really interesting being on both sides of the fence. You know, what I always noticed is that teachers are eager, but they’re tired. They’re wanting to learn, but they can’t take advantage of every opportunity to learn. And especially during COVID time, if you take a look at even all the professional learning that’s happening across the world right now, attendance is going down because teachers are so burnt out this hybrid space, this either we’re in person, but we’re still wearing masks and still social distancing and all this other stuff, or I’m still virtual or I’m virtual some days and I’m in person other days, it’s just wearing our teachers out. And I think we notice that as we see a large numbers of friends and family just start to retire, right? Like people are just like, I don’t know if I can adapt to another change in education.

Jessica Kesler (23:14):

Like education goes through these waves of big changes and it’s hard for everybody to adapt to, but for those who are willing to stick it out and those who are able to stick it out and, and still have that energy and enthusiasm to learn, they come in so hungry for more resources, so hungry to learn more and they still have their why at the top of their minds, as they think about why they do this it’s for the kids it’s to drive this mission is to get more kids excited about this. And they just come in so passionate. So once they come in, once we can get them to come in they stick with us for a really long time. They’re like, what else do you have? What else do you have? What else do you have? But we hear, still hear the common threads of like, do I have time for this?

Jessica Kesler (23:58):

Do I have the funding for this? Do I have the energy for this? Do, will my students understand this? And we are constantly facing that challenge of trying to address those things by, but keeping the excitement going, like we know you don’t have enough time. We’re gonna call it out from the start. I know you don’t have enough time to try to do 29 extra things. Mm-Hmm <affirmative>. But my advice is always, but do one thing at a time, start with something small, asking your students a few questions rather than lecturing to them. Doesn’t take a whole lot of extra time, but it gives you so much extra insight. So let’s not work, you know, harder, let’s work smarter. Let’s embed this into our, our work together. And I always say that we’re not asking you to add to your plate. You know, it’s not Thanksgiving where you just pile, keep piling on a plate.

Jessica Kesler (24:47):

It’s it’s a time where you organize the plate. It’s allowing inquiry to restructure your plate so that everything has its place and its time mm-hmm <affirmative> do you wanna leave room so that the educator feels comfortable trying some new initiative? That’s why we encourage admin. We have librarians attend elementary school teachers, administrators, we, and we encourage it because everyone can support the classroom. And if administrators are more in touch with these new practices and tools and strategies, then they can help facilitate the learning. As the teachers are trying new things and coaching them in specific areas. So we really opened the door for some studios, for any and all who are gonna participate in that child’s education, because us all rallying around them as that three-legged stool helps to create that environment and helps support the teacher. The teachers need support, and we’re trying to do our part by providing the resources and the tools, but they need everyone else to.

Eric Cross (25:42):

We don’t always think about it as a way to support, to get support in our classrooms for ourselves. But I agree with you by, by educating vertically up the chain, you know, vice principal, principal, whoever it is, mm-hmm <affirmative> superintendent getting them on boarding and, and educating them to see what’s ex expected. We’ll open up doors and more freedoms for you because now you just have this vertical alignment of folks kind of on the same wave length. Exactly.

Jessica Kesler (26:07):

Yep. And that’s why we love districts. Anaheim union school district is actually one of our partners this year, where they have invited their teachers to participate in the whole pathway because they know how important it is that we practice these tools and strategies. And they want as many educators in the same space going through this at the same time as possible so that we can support each other through it. And so that we don’t feel like islands, oftentimes as educators, we feel like islands we’re in our classroom day in and day out. And we don’t feel like there’s anybody else who’s doing the same things we’re doing and supporting the work that we’re doing. So when we get administrators who support it, it’s magical. It can be magical.

Eric Cross (26:47):

What are some opportunities that are coming up if somebody’s listening and they, they wanna sign up for something, are there things coming up this month or next month or in the summer that they can participate in?

Jessica Kesler (26:55):

Yeah, for sure. So we’ve been doing our monthly workshops. And if you go to our website, so if you actually go to TGR foundation.org and slash stem studio you’ll actually see our summer events already posted, already live for everybody to start engaging in. And again, everything is free. So registration is open and available for everybody to participate. We are offering that first inquiry stem studio inquiry mindset twice the week of June 21st and the week of June 28th, two opportunities for educators to join us for inquiry mindset for the first one. And then also in July, we’re offering the second one making inquiry visible, and that’s the week of July 12th. So again, all free stuff, raffle prizes are available for those who register early and get in there and reserve their seat. It is limited seating. And so, yeah, a bunch of opportunities coming up this summer and guess what all you have to do is sign up and then you get all these free things coming your way. You get to look forward to all this exciting stuff. So TGR foundation.org/studio.

Eric Cross (28:01):

And if folks wanna follow you in your career, your journey.

Jessica Kesler (28:05):

Yeah. I’m on Twitter and LinkedIn, for sure. And it’s Jessica Kessler, K E S L E R one S

Eric Cross (28:12):

I wanna honor your time. And as we close, you’ve been an educator of impact in, in your own classroom. And I know you’re still teaching actively now, and you’ve also made an impact on me and other educators through your professional development. And, and the last question I’d like to end with is who’s the most memorable teacher or learning experience that you had during K eight. When you think about you, your time in school, who was a memorable teacher or a moment that kind of stands out to you and what was it that they did that made them memorable?

Jessica Kesler (28:44):

It was that one teacher who brought me my first T I, 84. You remember when a new calculators came out, I had a teacher give me one amazing, but I think in high school, there was really a turn about where I had miss Caroline and Mr. Canello math and Spanish teacher. So two opposite wings of the, the education spectrum there. But most of all, they listened. They listened to me. I felt seen with those teachers, they supported me. They listened to me, they saw my potential. And they just rallied around me and continued to support me thereafter. Even afterwards, I continued to reach out to those educators. And I think that’s what drives me to be that force for, for my students. And I remember my most memorable heart touching education experience was probably, I had a high school student get interviewed by the newspaper.

Jessica Kesler (29:38):

And they were like, oh, what’s your favorite classes? And what’s your favorite this, and what’s your favorite of that? And he was like, well, I love chemistry, which is what I was teaching. It was like, and I love my after school robotics team. I was leading and I love this and this and this. And he basically listed all the stuff that I was doing that I was teaching and that I was leading in the school. And I was like this one student, literally out of all the classes and experiences he’s experiencing is really just calling out everything that I’m doing. And I feel like it’s because he felt seen, he felt heard. He was like, this person is listening to me. And no matter what space we’re in this teacher is, is there for me. And so I try to be that wherever I go, <laugh>,

Eric Cross (30:16):

It’s amazing how making someone feel seen and, and making them feel important and heard, and, and being present for them. All of a sudden opens up their interests into the subjects that you’re teaching. Thank you for, for making time for serving our kids for serving teachers during a hard time, and for making PD one, being part of an organization that made it free and serve teachers, but also making PD fun and enthusiastic. I think that was one of the things in addition to the empathy that you led with, but also your enthusiasm and passion was something that really resonated with me. And it made our time together. Feel like something that was, was making me a better teacher for my kids. And so, thanks for making time for us tonight. Oh,

Jessica Kesler (30:53):

Bless face.

Eric Cross (30:57):

Thanks so much for joining me and Jessica today. If you have any great lessons or ways that you connect with students, please email us@stemamplifycom.wpengine.com. That’s S TM amplifycom.wpengine.com. And please remember to support the podcast by clicking subscribe, wherever you listen to podcasts, you can also hear more about the podcast in our Facebook group, science connections, the community until next time.

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What Jessica Kesler says about science

“One student at a time isn’t gonna bring a million students through the door. But if we focus on their teachers, then they can reach those millions of kids and help them be prepared for future careers. ”

– Jessica Kesler

Director of Professional Learning, TGR Foundation

Meet the guest

In the final episode of the season, Eric sits down with his friend and professional development facilitator, Jessica Kesler. Jessica describes her passion for sharing free, high-quality, empathy-centered professional development for K12 educators. Jessica also shares her experience jumping into leadership positions while teaching in Philadelphia. Eric also chats with Jessica about how students often lean on teachers for more than delivering content.

Person with glasses smiling, wearing a black headwrap and earrings, outdoors with trees and sunlight in the background.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. Listen here!

S3 – 06. Bethany and Dan take on Twitter!

Promotional graphic for Math Teacher Lounge Season 3, Episode 6, featuring Bethany Lockhart Johnson, Educator, and Dan Meyer, Director of Research at Desmos.

In this episode, Bethany and Dan take a look at several tweets that caught the most fire on Twitter during the 2021-2022 school year. The pair answer questions about viral teaching methods, the best teaching advice you can give in three words, and if students should use pencils or pens in class. Join them as they take on those questions and several others in a fast-paced episode.

Explore more from Math Teacher Lounge by visiting our main page

Download Transcript

Dan Meyer (00:02):

Hey folks. Welcome back to the Math Teacher Lounge. I’m your co-host, Dan Meyer.

Bethany Lockhart Johnson (00:07):

And I am Bethany Lockhart Johnson. And I’m your co-host, Dan! Hi!

Dan Meyer (00:12):

We’re co-hosts! Hey! Great to see you.

Bethany Lockhart Johnson (00:13):

Dan, this is the last episode of Season 3. Three seasons!

Dan Meyer (00:19):

It’s gotta have a cliffhanger. What will the cliffhanger be? You know?

Bethany Lockhart Johnson (00:22):

The cliffhanger is that we love having guests! It’s one of our most favorite things, because selfishly, we love to talk to all of these amazing folks who are doing this interesting research and thinking about amazing things. But for this last episode, it’s just you and I, Dan. Cliffhanger!

Dan Meyer (00:40):

Yeah. I like this. I like this. So the cliffhanger was last episode, and people are all like, “So who’s the last guest gonna be of the season before we roll out into summer?” And yes, as Bethany said, we love all the fascinating guests we’ve had on throughout these last few seasons. And we realized…who is more fascinating to each other than both of us? You know, let’s talk to each other about things, right? <Laughs> You get that! You get that! Or am I alone here in this? We had this idea about what we should talk about here, and that’s this: I am on Twitter a lot. I’m @DDMeyer on Twitter; throw me a follow; might follow back; who knows? I don’t tweet much. Bethany, what’s your handle on Twitter? Let ’em know.

Bethany Lockhart Johnson (01:22):

I’m @LockhartEdu, and I was much more active pre-mamahood. But I’m still up in there. Go ahead.

Dan Meyer (01:30):

Yep. In there. Yeah, great. So I’ve been keeping track of the hottest conversations in math education Twitter, the conversations that the most people who kind of describe themselves as math teachers in their bios and whatnot have been replying to. We’ve got some little things working in the background, keeping track of this sort of thing. And so we are gonna bring you folks some of those extremely hot conversations, and even better than the questions—which we hope you’ll reply to and tag us in your replies—even more than those questions, we’ll bring you our answers—our answers!—to those questions. Can you believe that? We’ll fully settle these questions! Won’t we, Bethany? My gosh, won’t we?

Bethany Lockhart Johnson (02:15):

Jeez Louise! No! Dan Meyer, the point is not our final word on it! The point is this episode, we’re furthering the conversation. We wanna hear from listeners about what do you think?

Dan Meyer (02:25):

Right. You’re right. You all need someone in your life like Bethany who will help you become the best version of yourself. So here’s the deal. We have several questions in a few different categories. We’re gonna bust through some quick ones, pretty quick. And, uh, there’s some meaty ones as well. Let’s get into it! The first questions come to you all, and us, courtesy of MTL guest Howie Hua, who has a renowned knack for just creating math memes, but also conversation starters that really capture the curiosity and answers of of a grateful nation. So Howie’s first question, which I’ll pose to Bethany, is, “What’s your favorite number?” Bethany? And why is it your favorite number?

Bethany Lockhart Johnson (03:14):

Oh, I love it. OK. Well, the first thing that came to my mind is 12. ‘Cause It’s a highly divisible number. I mean, 2, 6, 3, 4—I love it. And it coincides with the day and month of my birth. Which, like, the double-digit…come on, 12, 12, 12, 12. I dunno, am I giving away, like, my bank security code <laugh> or anything by saying that?

Dan Meyer (03:41):

Yeah. What’s your favorite PIN?

Bethany Lockhart Johnson (03:43):

Let me change my PIN. Yeah, it’s just such a happy, happy number. Well, 12 is, you know, 10 and 2. Two more. Anyway. Love it. What about you, Dan? What’s your favorite number and why?

Dan Meyer (03:55):

I’m into it. I’m into it. I think I would choose 16. Because it’s the first number for me when it was like, “Oh, you can keep on making numbers forever!” Where I’m like, OK, 2times 2 is 4. Great. That’s kind of an elemental expression in mathematics. Four times 2 is 8. OK. But then, 8 times 2 is 16, and it’s like, “Oh, you can just keep doubling that thing over and over and over again!” And I can recall feeling pretty excited that numbers are just like, out there for the finding. For the taking. Cool stuff.

Bethany Lockhart Johnson (04:33):

I’m sorry. Wait, I have to interrupt. You went 2 times 4 is 8 and you didn’t go 4 times 4 is 16? You went 8 times 2 is 16? You wanted to keep the 2 the same?

Dan Meyer (04:49):

Yup. Yup. You can keep on doubling. You can keep on doubling numbers and it just keeps on going.

Bethany Lockhart Johnson (04:53):

More evidence that our brain works very differently.

Dan Meyer (04:56):

We learn more about each other…let me keep this rolling with Howie questions. OK? Howie says, “If you could co-teach with one teacher from Twitter, who would you choose?”

Bethany Lockhart Johnson (05:06):

Oh, oh, it has to be a teacher?

Dan Meyer (05:11):

Or anybody, I guess. I mean, like, I know you love Oprah.

Bethany Lockhart Johnson (05:15):

Can I co-teach with Oprah?

Dan Meyer (05:16):

Yup, yeah, so there we are. <Laugh> Yup. OK. Fair enough. We have to work Oprah into every single episode.

Bethany Lockhart Johnson (05:23):

I’d just love to sit and like, we’d read together, we’d read to the students, and then we’d talk…I mean, obviously it’d be Oprah. But if we’re thinking more of like MTBoS, like math Twitter blogosphere-land, I suppose the person I would wanna co-teach with honestly would probably be Allison Hintz. One of our former guests as well. Her book, Mathematizing Children’s Literature, with Antony Smith, that book—I just love the idea of sitting and doing a read-aloud and then diving into some juicy math that’s inspired by what comes out of that read-aloud. So yes, that’s who I pick. Allison! Let’s co-teach!

Dan Meyer (06:00):

<Laugh> Shout-out to Allison.

Bethany Lockhart Johnson (06:01):

What about you?

Dan Meyer (06:03):

I would choose MTL guest Idil Abdulkadir—because, and this relates to Allison and also Elham Kazemi—they talked about, in our episode about teacher time-outs. And I’m choosing someone who I think is—like I’ve never seen Idil teach, but I work with Idil at Desmos and think she’s fantastic. But what I really want in a co-teacher is someone that I can say, “Whoa, time out, do you see what’s going on here? This is really interesting. What should we do next about this?” And have a little strategy sesh in front of the kids and no one gets freaked out by that. And I think that that’d be a pile of fun. Idil seems like she’d be receptive to that kind of interaction, teacher to teacher. So that’s my vote right there.

Bethany Lockhart Johnson (06:48):

Opportunity for you to grow your own practice, Dan.

Dan Meyer (06:52):

Yeah, yeah, exactly. 100%.

Bethany Lockhart Johnson (06:56):

So Dan, I actually have a question for you from Howie. If we’re on the Howie tweet train, I have one from Howie too.

Dan Meyer (07:04):

Howie had some fire tweets, some fire tweets this current year. Yep.

Bethany Lockhart Johnson (07:08):

Dan, I wanna know: Do you prefer doing math in pen or pencil?

Dan Meyer (07:16):

Ooh, yeah. Oh, I see that Howie says, “I don’t mean to start any drama, BUT,” and then asks the question–

Bethany Lockhart Johnson (07:23):

But!

Dan Meyer (07:24):

I think that Howie lives for drama. I think he knows he’s messy. He lives for drama. He knows what he’s doing this with this question here. He knows.

Bethany Lockhart Johnson (07:32):

DRAAAAMAAAA!

Dan Meyer (07:32):

He knows what he’s doing. Yup. So I would just say it depends. Is that cheating? Like if I’m doing math to learn, or if we are learning in that process, then I want to use pen, actually. I wanna see the tracks of the thinking. And if we’re doing it for presentation, like if I’m presenting something, I wanna…I guess that’s an area where I’d be fine to not erase things. I don’t wanna prep it so it’s, you know…I guess you could use pen for presentation also. Just pen. Period. But I wanna see the tracks of the thinking if we’re doing some learning versus presentation. What about you?

Bethany Lockhart Johnson (08:09):

Well, I heard the voice in my head telling one of my kindergartners, “No, you cannot do that in sparkly pen. You need to do it in pencil.” And I was like, “Wait, whose voice is that?” It was one of my math teachers telling me I couldn’t do it in pen! Why couldn’t this kid do it in pen? Sure! Do it in a sparkly pen! So I wanna say do it in pen. And since usually pen is what I have around…I mean, I do crosswords in pen, Dan.

Dan Meyer (08:36):

Wow, wow. With a piece of paper and math, you have lots of room to re-revise and cross off…but those little, little boxes on the crossword, that says a lot about your commitment to pen.

Bethany Lockhart Johnson (08:46):

I got really good at making an A into an H or a P or whatever we need. So I would say, “Hey, if you’re in the room with your kiddos and you’re doing math, if somebody wants to do pen, let them do pen.” But I do know that I’ve seen teachers say you need to do pen so that I can see all of your thinking. So I think I hear what you’re saying. But do you think it should be like a classroom rule or something?

Dan Meyer (09:13):

Oh, no, no, no. I mean, I’m gonna ask you like, “How’d you get to this destination?” And I wanna know process somehow, and I think you’ll get tired of having to explain it verbally rather than just, like, showing. Just don’t erase stuff. Don’t scratch stuff off. Let’s let’s see how you’re getting there. That is what I’m into.

Bethany Lockhart Johnson (09:30):

Thanks, Howie, for that trio of thought-provoking tweets, because I genuinely wanted to know what Dan thought and what our listeners think. I mean, Dan, I gotta say: Howie, you say you don’t wanna cause drama, but I gotta say I’m with Dan on that—

Dan Meyer (09:50):

Got the gift. Got the gift for drama. We’re still friends though. So I’m happy about that. Our next section, I got a few more questions queued up here and these ones relate to advice for educators, advice for yourself. Good advice, bad advice, that kind of thing. So let’s jump in. I would love to know—this one’s from Pernille Ripp—I’m very curious, Bethany, what is the worst teaching advice you have gotten in your life, ever?

Bethany Lockhart Johnson (10:19):

<Laugh> Ooh. OK. Um, worst teaching advice was: “That’s OK, just move on anyway.” And that was in terms of pacing. It was like, students needed to do a deeper dive and the teacher who I was chatting with said, “No, no, it’s fine; it’s fine; just move on. Just move on to the next chapter.” That was probably the worst advice, because no, I don’t think that’s what I should have done at all! <Laugh>

Dan Meyer (10:48):

Right.

Bethany Lockhart Johnson (10:48):

But I was a first-year teacher and I was trying to figure it out. And I learned that that was not good advice. And I understand the pressure of pacing. But it was totally antithetical to the type of listening to my students that I want to do in my craft. And this teacher meant well, but that was not good advice, teacher! <Laugh> What about you, Dan? What is the worst teaching advice?

Dan Meyer (11:13):

I dig that. That feels similar to one of the replies to Pernille here. Frances Klein says, “Never let them know you’ve made a mistake” being particularly bad advice. You know, just this like idea of like moving along, covering your tracks, not backtracking or admitting mistakes, those all feel kind of a piece. The worst advice I think I’ve ever received, and I wasn’t given this often, but it’s echoed by a lot of the commenters here on this tweet, which is “Don’t smile until X, Y, or Z,” where X, Y, and Z are like Christmas, October, December, January. Just the idea that you’ve gotta develop—

Bethany Lockhart Johnson (11:54):

Wait, what?

Dan Meyer (11:55):

<Laugh> Did you never hear this from anybody? Don’t smile until Christmas? Perhaps this is more—

Bethany Lockhart Johnson (11:59):

I’m a kindergarten teacher! Can you imagine? If I don’t smile the second they walk in? The tears?! The parents’ tears?! The kids’ tears?! If I’m just like, stoic?

Dan Meyer (12:07):

Yeah. Well.

Bethany Lockhart Johnson (12:08):

So explain it to me.

Dan Meyer (12:10):

Well, the idea is, is that, you know, for older kids, they’re scoping you, they’re clocking you for weakness, they’re looking at you, they’re looking to take advantage. And so “don’t smile until Christmas” is like, hey, you can always relax. You can always relax your discipline, but you can’t UN-relax it if you start out, you know, Mr. Happy Pants Meyer. Which—

Bethany Lockhart Johnson (12:33):

Smile perceived as weakness.

Dan Meyer (12:36):

Yeah. Very obviously poor advice. Eventually you come to realize that like having a rapport and a relationship that is trusting and warm and demanding, that has high expectations, that’s the best kind of classroom management. Not some kind of persona built around intimidation or stoicism, that kinda thing. So, terrible, terrible advice!

Bethany Lockhart Johnson (13:01):

I feel like I did have a few of those math classes. Yeah.

Dan Meyer (13:04):

Yeah, exactly. <Laugh> You loved them, right? They were like your favorite math classes. It was a blast, right?

Bethany Lockhart Johnson (13:11):

<Laugh> So we have to ask the opposite. Thank you, Daniel Willingham, who said, “What’s the best advice you got?” But hold on, Dan, he didn’t just want the best advice. He wanted the best advice in three words.

Dan Meyer (13:26):

Oh yeah. He doesn’t, he doesn’t want a book or dissertation or even a blog post or even a tweet. He wants just three words.

Bethany Lockhart Johnson (13:32):

I think maybe that might have been to me. <Laugh>

Dan Meyer (13:34):

This is someone who’s doesn’t have much time for this advice, wants it distilled down. I’m just obviously stalling here as I try to think about this. I don’t know, there’s just like so much nuance lost here. I would say, listen to students, listen to students. I can’t say more that, I guess. I guess I’m done. I can’t say more than that there. But you’re in a bad place if you’re not listening carefully to students. How about you?

Bethany Lockhart Johnson (14:04):

  1. Mine is “Ask…lots…questions.”

Dan Meyer (14:11):

Nice. ‘Cause I filled in the word! I filled in the word! I was able to kinda infer that. I did that. I got that.

Bethany Lockhart Johnson (14:17):

Wait, wait, wait, wait! I could have said many! Wait, I could have said “Ask many questions.”

Dan Meyer (14:22):

Strong, strong.

Bethany Lockhart Johnson (14:25):

So yeah. You know, no isolation, like don’t put yourself in a bubble. Ask, not just, not just your students, but the teachers! Ask a lot of questions. You don’t have to have it all figured out.

Dan Meyer (14:34):

Into it. Very much into it.

Bethany Lockhart Johnson (14:37):

Thanks. Daniel. Thanks, Pernille.

Dan Meyer (14:40):

Yeah. Daniel and Pernille, Both great questions there about advice, best and worst. Another fire tweet popped up earlier this year from Dr. Khristopher Childs, which was “Name one thing every educator should stop doing.”

Bethany Lockhart Johnson (14:57):

Oh, I don’t know. This kind of ties into my best advice about asking questions.

Dan Meyer (15:03):

Stop not asking questions?

Bethany Lockhart Johnson (15:06):

<Laugh> Avoid the isolation. I really love this idea of when we can, popping into each others’ classrooms, co-teaching, building this collaborative nature. Elham Kazemi, in our interview, talked about this idea of, like you said, the teacher time-outs, learning from each other. So I feel like if we could stop isolating ourself…and I don’t mean at lunch—sometimes you need to not be in the teacher lounge at lunch. Like if you need a minute, take the minute! But in general, as a practice, how can we not be isolated and instead be learning with, and from, each other? How can we stop the isolation? That’s what I would hope every educator would stop doing. What about you, Dan?

Dan Meyer (15:54):

I think that educators should…this is gonna require a little bit of elaboration. I think educators should stop taking responsibility for things that are not in their zone of influence. I think that as a society we are asking teachers to do more and more, to become more and more of a central fixture holding together with chewing gum and twine all the various parts of a student’s life. From their health, their fitness, emotional health, that we feed students at school. It becomes very tempting, I think, there’s a lot of pressures to blame outcomes, disparate and unjust outcomes later on in life, on teachers. And teachers should just flatly refuse. And to yeah, understand what the job has been set up to do. What it’s good for. And do that with excellence and intent and a lot of effort. And then not take responsibility for the rest of it.

Bethany Lockhart Johnson (16:53):

If I asked five different people about the definition of what a teacher should be doing, I would get five different answers. So I think it’s really interesting that you say that because yeah, many, many hats, which I think, yes, can lead to burnout. Can lead to all sorts of things. We’re asking schools to be all things to all, all people. Interesting. I’m gonna think about that more. I need to hear folks’ response on that, Dan.

Dan Meyer (17:18):

Mm-Hmm. I’m curious too. I mean, yeah, there are definitely things that are in teachers’ responsibility and some that are not. That’s a tough one.

Bethany Lockhart Johnson (17:26):

OK, for help, name an example of each. And what’s something that you think every teacher should not and should be doing. ‘Cause I feel like my brain goes to some things like, you know, I had teachers who were saying, “Well, I don’t wanna have my kids have to have breakfast in my classroom in the morning. That shouldn’t be my responsibility to serve breakfast in the morning.” But I’m like, “But then your kids are eating and they’re gonna be able to learn and be more focused.” Should that be the teacher’s responsibility? I’m not saying it necessarily should, but I’m saying…I don’t know. It gets murky for me.

Dan Meyer (18:06):

Yeah, for sure. I mean, I think that we should, as a country, have a really generous social welfare net so that everyone has food at home. Where a school is not the place where some students have to go to in order to receive nutrition and nourishment. That seems sad to me. And uncommon in developed nations. I think that teachers should watch out for, should be responsible for, the mathematical development of the students they teach, up to a point, they should be responsible for learning math and creating relationships in their classes. I don’t think that teachers should accept responsibility for larger kinds of outcomes, like the health of a democracy or international competition, who goes to the moon first. That kind of thing has historically been placed at the feet of teachers. And it’s tempting when you’re a teacher, I think, to take on that responsibility because it kind of develops your social importance. And I just say, we should say no to that. And get compensation, not in terms of social importance, but rather like in spendable dollars and monies.

Bethany Lockhart Johnson (19:10):

I’m learning more about you, Dan. And you know, this is what I’ve gotten from that answer: If you’re gonna dream, dream big. Right?

Dan Meyer (19:17):

Is that what you got from that? I don’t know. I think I’m trying to dream realistically.

Bethany Lockhart Johnson (19:23):

No, like if we’re gonna say, “Maybe teachers shouldn’t be responsible for serving breakfast in the morning,” well, because we want every child to have access to nutritious and filling food at home and time to eat it in the morning, right? It’s bigger than just, “I don’t want the teacher to have to do this.” So we’re dreaming big. We’re saying this should be the LEAST that students have access to, right?

Dan Meyer (19:53):

Yeah. Yeah. I’m here now. I’m with you. I like that dream. Where we take care of folks in their lives outside of schools. So schools don’t have to be the one linchpin for every kind of social outcome. Like currently a lot of them run through a school ’cause we don’t do a good job of setting up other ways to meet those needs. And we should.

Bethany Lockhart Johnson (20:16):

And we’re also recording this in, what, two weeks, a week, after a tragedy where students and teachers were killed in the classroom. And I think both of us are taking some deep breaths and recognizing that there’s a lot of debate that is happening about what teacher’s role should be in preventing this in the future. And I don’t know if you’ve done drills in your classroom that are supposed to help mitigate disaster, but you know—collective deep breaths— <laugh> is where we’re at right now.

Dan Meyer (20:52):

Yep. The idea of “we should arm teachers” is another example of no, we should not do that. We should solve the tendency towards violence outside of the classroom so that teachers and students can teach and learn. That sounds awesome to me.

Bethany Lockhart Johnson (21:06):

Collective deep breath. Whew. OK. So what else you got for me, Dan?

Bethany Lockhart Johnson (21:33):

Ooh. So I feel like I’ve heard that in many teaching PDs. “I Do, you do, we do.” Actually I feel like I’ve seen like more “I do, we do, you do.” Like graduated release. I do it, then we’ll do it a little bit together, and then now you have permission to do it. And I feel like in directed draw, that’s a hundred percent true. Like I’m gonna show you this and then you draw it. And then you cut here and then you do it. If we’re trying to create this, like I’m teaching this new art technique. But in mathematics, I feel like that’s really not what I want my classroom to look like. I want to support my students and set them up for sense-making, and then I want them to try it out and I don’t want them to solve it the way it first comes to mind for me. I wanna see how they make sense of it and how they solve it. And then I want us to share it with each other so we can grow together. So I think time and place for “I do, you do, we do,” or “I do, we do, you do.” Or shoo-be-doo-be-doo-be. Yeah. You?

Dan Meyer (22:44):

I’ve got nothing. I have nothing to add. I thought that was just an excellent summary of a classroom I would love to be a part in, love to teach. I think it’s a certain tool in the toolbox that I think is overused. But it’s also a tool that can be useful in the case of certain kinds of operations. There are some operations that do benefit from “let me just show you how, like one way you might do this.” I don’t know. I’m like helping my kid whack a nail into a board and there’s a moment where it’s like, “Hey, actually, lemme just show you one way you can do this,” and do it, and then that’s helpful in some moments. But for so much of math, a lot of math does not relate to the operational kinds of fluency. And in those instances, it’s a little bit…it’s not a useful tool, I don’t think, for those kinds of skills and ideas.

Bethany Lockhart Johnson (23:34):

I’m thinking of tool talks in my classroom. So in kindergarten, many of the tools that we use in math and just in class in general, are new to the students. And if I tell them, this is exactly how you should use this tool, then I feel like I’m taking a lot of the sense-making away from them. But if I introduce the tool, show them how to use the tool safely, show them this is not a safe way to use the tool, chewing on this is not safe. That’s not how we use this tool. This is how we take care of it, et cetera. But then support different modes of using the tool that are gonna help them use it to solve problems and make sense, I think…but I guess—Dan, have you heard “I do, you do, we do,” or is it “I do, we do, you do”?

Dan Meyer (24:22):

I’m with you. And I think that it got clarified post-tweet. But yeah, it typically is “I do, we do, you do,” the gradual release of responsibility it’s often called. And I, I have heard people do what you described, which is…what is it? It’s “You do, we do, I do”? Like an inversion of that? Like have people do a thing that I can do that’s not too, too abstract for them, and then like “We all do something together, and then I’ll offer a summary of what we learned,” is one way that goes. I like that tool as well.

Bethany Lockhart Johnson (24:53):

I think particularly, at least I’ve seen in elementary classrooms, there’s sometimes this fear of letting students just try it out before I’ve really showed them, “but this is how it has to be.” And what I am most excited about is supporting students and creating a classroom environment where students don’t need my permission or need my direct “this is the only way to do it.” Instead, it’s like, yes, there’s lots of things we model. But there’s also like, “Hey, what do you think? How do you think this should be used?” And the joy of that exploration.

Dan Meyer (25:30):

Yeah. There’s a feeling of efficiency that comes from “I do, we do, you do,” for some kinds of math, but it’s undercut in my experience by what it cultivates in the students, which is “I’ve gotta wait until the teacher does before I can do anything.” So it pays off real diminishing returns over time. And it’s, just for me, an exhausting way to teach. Always being the bottleneck for new learning is a total drag.

Bethany Lockhart Johnson (25:55):

Ooh, what a great way to describe it. You do not wanna be the bottleneck. You want to be…what’s the other thing? The facilitator? What’s the opposite of a bottleneck? The flowing river? The…The…Help me!

Dan Meyer (26:10):

Hit us up in the replies. I dunno. The opposite of a bottleneck. That’s what you wanna…you wanna not be the opposite? No, you want, yeah. We got this here. We’ll figure it out. We’ll get back to you. <Laugh> OK. Well, folks, those were a few of this year’s fire tweets. It’s been fantastic chatting with you—

Bethany Lockhart Johnson (26:29):

Dan.

Dan Meyer (26:29):

—Bethany, About all those—

Bethany Lockhart Johnson (26:32):

Dan. You know, my favorite thing to do is interrupting you, Dan. I have to interrupt you because we can’t end fire tweets, Dan, without including a tweet from you.

Dan Meyer (26:43):

Oh, that’s true. I do have my moments. Yeah, we should. We really should. <Laugh> Do you have one in mind?

Bethany Lockhart Johnson (26:50):

No. Dan. Yes. I loved…you tweeted recently, “How many years have you been teaching?” Which, OK. “What Has been like the most influential? Like, what, OK, blah, blah, blah.” <blathering noises> You tweeted, “How many years have you been teaching? And at this point, what has most influenced how you teach?” And you gave some ideas: A methods course, PD sessions, curriculum, TV and movies, et cetera, et cetera. And I love that you put that out there because this episode is coming out as we’re wrapping up another school year. And it also got me thinking about summer and what teachers sometimes do during the summer, but what we might need to do this summer for self-care. But I’m really curious. I love that tweet. And I’m curious, Dan, what did folks say was the thing that had most influenced their teaching and what’s most influenced your teaching?

Dan Meyer (27:49):

Ooh, yeah. People’s responses to this one were really fantastic. I came into this, I was flying to the Association of Mathematics Teacher Educators conference. And I just found myself wondering, so, the pre-service year, the one year of, like, you’re learning how to teach, is how we did it in California. Like how much of that has still infused my practice? And in what ways? I don’t think I think about that stuff consciously, but I think that did like set me up with a lot of images that I would be unpacking for going on two decades now working in education. I think conversations with people, I think observing classes, I don’t think that like the one-day PDs, the one-day development days throughout the year, four times per year, I don’t think those stuck to me much. I think that this summer, I have learned so much, just an embarrassment of riches, from non-educational sources. From other disciplines. From storytelling, for instance. From how people have constructed movies I like. I am proud of the way…one of the aspects of my character that I’m proud of—it takes a lot to admit this, as I’m sure you understand, Bethany—but to integrate lots of wacky stuff and pick from it and use that to affect my practice and teaching has been really positive. So for this summer, I hope that people read a good beach book and just kinda let your teaching mind rest a little bit. And in doing so, create some openings for new ideas about education from other parts of the world. Kids! Having kids has been helpful. I don’t know! Just everything! It’s such a big job, education. Everything has so helpful. What about you? What’s an influence on your practice that might surprise me or other folks out there in MTL land?

Bethany Lockhart Johnson (29:52):

Well, I don’t know about surprise. I mean, I definitely feel similarly, like methods courses absolutely impacted my teaching. But I feel like opportunities where I was able to observe other teachers and where I was able to have conversations with folks about their practice, that has deeply impacted me. And books I’ve read. I mean, honestly, I’ve learned so much from sharing with other teachers. Like, for example, maybe I’ll bring student work and we’ll talk about it. And we kind of create this conversation together about how we wanna come back to the students based on the work we see. Those type of moments where we’re collaborating and we’re bringing multiple perspectives to the table, that I think, has really often shifted me out of my first initial reaction or what I thought I was going to do in the classroom the next day. So that continues to surprise and delight me. And thinking about this summer, I think there’s a lot of creativity and joy that can come out of the marination process, when you’re just kind of sitting back and healing yourself, whether through sleep or sunshine or time with friends and family or whatever that looks like for you. I think there’s a lot of creativity that can come from that place of fertile, you know, wellness. I never think of that as wasted time. I think of that as getting the soil ready for all that’s gonna come in the fall. And that being said, I also think it could be a fun time to dip your toes into something that you are excited to read, that you might not have a chance to read during the school year that could be teaching-related. So it’s like very low pressure, like, “Oh, I’ve really wanted to read more by this author. I’ve wanted to read this article. I’ve wanted to dip into this topic.” And not with a pressure, but just with a curiosity. And, yeah, I think so often we as teachers love learning, and to give yourself space to learn in whatever that looks like can be a real gift.

Dan Meyer (32:09):

Yes. And if you need book recommendations, hit the MTL back catalog of episodes. Loads of folks that we interviewed have real good books out.

Bethany Lockhart Johnson (32:16):

Yes!

Dan Meyer (32:16):

Think about it. Think about it.

Bethany Lockhart Johnson (32:22):

One quick recommendation: Again, gotta plug Antony Smith and Allison Hintz’s book. I read Mathematizing Children’s Literature before we did the interview, but this summer I wanna read all the children’s books that they mention. I just wanna go to the library and read all those children’s books. I wanna read them to my son. I wanna read ’em to myself. So, you know, diving into some good YA, children’s books, just, like, TLC. Dan, thank you for such a rich season and a chance to have so many interesting conversations. It is genuinely a joy to learn with and from you.

Dan Meyer (33:00):

Likewise. And always hope to see you folks on Twitter now and then. Let us know what you’re up to this summer at MTLShow on Twitter or in our Facebook group, Math Teacher Lounge. We’ll be there tuning in now and then. It’s been a treat interacting with you folks over this last season. Take care and until the new season, so long.

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What Bethany Lockhart Johnson says about math

“I’ve learned so much from sharing with other teachers… Those type of moments where we’re collaborating and bringing multiple perspectives to the table, I think, has really often shifted me out of my first initial reaction or what I thought I was going to do in the classroom the next day.”

– Bethany Lockhart Johnson

Meet the guests

Dan Meyer

Dan Meyer taught high school math to students who didn’t like high school math. He has advocated for better math instruction on CNN, Good Morning America, Everyday With Rachel Ray, and TED.com. He earned his doctorate from Stanford University in math education and is currently the Dean of Research at Desmos, where he explores the future of math, technology, and learning. Dan has worked with teachers internationally and in all 50 United States and was named one of Tech & Learning’s 30 Leaders of the Future.

Bethany Lockhart Johnson

Bethany Lockhart Johnson is an elementary school educator and author. Prior to serving as a multiple-subject teacher, she taught theater and dance and now loves incorporating movement and creative play into her classroom. Bethany is committed to helping students find joy in discovering their identities as mathematicians. In addition to her role as a full-time classroom teacher, Bethany is a Student Achievement Partners California Core Advocate and is active in national and local mathematics organizations. Bethany is a member of the Illustrative Mathematics Elementary Curriculum Steering Committee and serves as a consultant, creating materials to support families during distance learning.

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About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

S5-05. Math technology & hacks for math anxiety: research-based tips for caregivers

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We’ve been very lucky to have so many prolific and brilliant researchers on this season of Math Teacher Lounge, and our next guest is no exception.

Listen as we sit down with Dr. Marjorie Schaeffer to discuss what causes math anxiety, math hacks, and how the right math technology can make an incredible impact in children and caregivers coping with math anxiety.

Listen today and don’t forget to grab your MTL study guide to track your learning and make the most of this episode!

Download Transcript

Marjorie Schaeffer (00:00):

I think the most important thing we know from literature right now is that high math-anxious parents, when they interact with their children, their children learn less math over the course of the school year.

Bethany Lockhart Johnson (00:12):

Welcome back to Math Teacher Lounge. I’m Bethany Lockhart Johnson.

Dan Meyer (00:15):

And I’m Dan Meyer.

Bethany Lockhart Johnson (00:16):

We’re onto Episode 5, Dan, of our series on math anxiety. And I wanna say it feels so lovely to imagine all of these people out there doing work to help combat math anxiety. I dunno, it just makes me feel excited about the possibilities. This work is out there; it’s happening! Kids and teachers and caregivers are being impacted by these conversations. Not just — I mean, I don’t just mean the conversations we’re having on Math Teacher Lounge, but I mean, that these researchers are doing. Like, yes, we can change this!

Dan Meyer (00:53):

This is great. Yeah. We have people who are extremely smart, who have dedicated their professional lives to studying math anxiety and resolving it. And each of them that we’ve chatted with — they share lots of ideas in common, but I’ve loved how they each have their own different flavor or take or area of emphasis on a problem that hits everybody everywhere. It’s in your home, with kids and caregivers. It’s in schools. It’s in our places of teacher preparation and professional learning. Every place is a place where we can focus on resolving issues of math anxiety. It’s exciting.

Bethany Lockhart Johnson (01:26):

Yeah, I feel like … if there could be a course in — we all know that our teacher prep programs, in MOST teacher prep programs, there’s not nearly enough math methods or time to cover <laugh> — it’s like ready, set, go! And depending on who your mentor teacher is or what your math methods course … I mean, it can totally shape the way that you are prepared or really not prepared for going out there to teach math! And so I love that we’re having these conversations.

Dan Meyer (01:55):

What I love about today’s conversation is, one, it’s got a little bit of a technology flavor, so there’s that. But I also love, it’s got one of my favorite features about change, which is that it focuses on change to action, change to routine, rather than change to belief. Rather than saying like, “OK, everybody! Everybody stop thinking bad beliefs about math and transmitting them to your kids!” Instead, it says, “What we’ll do is just, hey, we’ll set that aside for a second and we’re gonna do a certain thing every day and watch as those actions make your beliefs change.” That to me is extremely cool. And I think it has a higher likelihood of success than just, like, me telling parents, “Hey, stop thinking these thoughts!”

Bethany Lockhart Johnson (02:37):

“Ready, set, stop being anxious!”

Dan Meyer (02:39):

Exactly. Exactly. So it’s an exciting conversation we’re gonna have here.

Bethany Lockhart Johnson (02:43):

Right. So it’s not a, you know, “wave the wand and all of a sudden, you’re not anxious about math anymore.” But these incremental changes, these incremental conversations, this validation, can really, really impact change. I’m with you on it, Dan. I hear what you’re saying.

Dan Meyer (03:01):

To help us talk through all of these ideas and more, we’re joined by Dr. Marjorie Schaeffer, Assistant Professor of Psychology at St. Mary’s College in Indiana.

Bethany Lockhart Johnson (03:10):

Enjoy. <Jaunty music> So, yes, Dan, we are so excited to welcome Marjorie Schaeffer. She’s Assistant Professor of Psychology at St. Mary’s College. Dr. Schaeffer, we’re so excited you’re here. Hello!

Marjorie Schaeffer (03:28):

Thank you so much for inviting me.

Dan Meyer (03:29):

Yeah. We are super-lucky to have had so many prolific and brilliant researchers about math anxiety on our show. You’ll be no exception. And every time, we love to find out about how you came to study math anxiety, which winds up being a really interesting glimpse into your backstory bio. So tell us, what is the route by which you came toward studying math anxiety?

Marjorie Schaeffer (03:51):

Oh, I love that question. I’m really interested in how the attitudes and beliefs of parents and teachers influence children, especially around math. And I actually became interested in this idea in college, when no Child Left Behind was actually first starting to be implemented in schools with high-stakes standardized testing. So much so that I actually did my thesis on this thinking about, “Do children understand the importance of high-stakes testing? Do they have anxiety around that idea?” And so that was really my first foray into the anxiety literature. And that was kind of the entry point into math anxiety for me.

Dan Meyer (04:28):

So you started by studying a very high-stakes assessment, like our students connecting with this. And the assessment is once per year. And classroom instruction is every day. So how did you move from the assessments to the everyday instruction?

Marjorie Schaeffer (04:44):

That’s a great question. So, after college, I actually taught kindergarten. And so from that, I saw the day-to-day impact of instruction and the day-to-day impact of children’s individual attitudes and beliefs. And so I really became interested in thinking about, “How do we understand why some children are really successful from the instruction happening in classrooms and why other children need a little bit more support?” And so math anxiety was one way for me to really think about the individual differences I saw in my kindergarten classroom.

Dan Meyer (05:18):

It feels like you headed … you went farther upstream, is what it feels like. Where assessment … there’s like some kind of anxiety around assessment, let’s say. And then you ventured farther up the stream to classroom instruction and then still farther into kids’ homes. It seems like your research invokes a lot of curiosity about the sources of a kind of amorphous, flowing phenomenon called math anxiety. And I’d love to hear a bit about what you know about how caregivers transfer, transmit — whatever the word is — math anxiety to their kids.

Marjorie Schaeffer (05:55):

For parents … we think that the attitudes and beliefs of parents matter. And we see that for lots of areas, not just math anxiety. But I think math anxiety, we see that really clearly. And so, we can think about it both in terms of what kind of input parents provide. So, how do families talk about math with their children? What kind of support do they provide around homework? And those are ones that I think are a little obvious. But we can also think about the offhanded comments that parents say to children when they’re talking about math generally. Right? So, we see lots of memes going around, talking about how hard math homework is. And so, I think when parents say offhanded comments like, “I’m not a math person,” or “We’re just bad at math,” that communicates values to children. I think the most important thing we know from literature right now is that high math-anxious parents, when they interact with their children, their children learn less math over the course of the school year. And this specific mechanism by which that happens is still an area for a lot of research. And so some people think it’s about input. So maybe if I’m math anxious, I’m avoiding math. And so, when I have an option to read a picture book that has math content, I focus on the colors instead. And so, my child is actually getting less math than other children. We can also think it’s about these messages that are provided. So, when I talk about math, I send the message to my child, it’s not for them, and therefore the child wants to engage in it less. And some of my work looks at things like expectations and values. So, thinking about, “Do math-anxious families actually value math less than other families unintentionally?” And so, we have some support for this idea that they expect less of their children. And so maybe when they struggle, they respond in different ways than a family who’s lower in math anxiety.

Bethany Lockhart Johnson (07:53):

This is so fascinating to me. I also was a kindergarten teacher. And I remember a mom who just … she had such like palpable math anxiety. And during one of our conversations, she was talking about these homework sessions with her daughter. And I may have mentioned this on the podcast before. But she was talking about how every night they would sit together and they would do all this math. They’d do, like, extra math together. And it always ended in tears. And despite her math anxiety, she didn’t want her daughter to experience the math anxiety that she did. So she was trying to pile it on, so her daughter was more proficient and comfortable. And instead, it was perpetuating this anxiety about it. And so, it’s a phenomenon then, right? Even if a parent is saying, like you said, maybe completely unwilling, this mother was actually trying to do the opposite. She was trying to help, you know, imbue the love and comfort with math. Right?

Marjorie Schaeffer (09:01):

Absolutely. This is why I think in my research, it’s really important that we find low-stakes, low-stress ways for high math-anxious families to do math. They absolutely can support their children in doing math. But they need a little support. We want it to be a fun, low-stakes environment, right? So maybe that’s the connection back to high-stakes testing, that I want children to have fun math experiences.

Dan Meyer (09:28):

Yeah. This is challenging, because it feels like the more caregivers know about math anxiety, and its pernicious effects on students, and how easily transmitted it is, one could become quite anxious about math anxiety. And, you know, no one makes great decisions when they’re anxious. So if I’m recalling our various episodes we’ve done, we’ve heard from people say, “Well, you need to validate students’ math anxiety. This is not something to just ignore or brush past. But also, not validate it in a way that says, you know, ‘This is OK and generational and inevitable.’” Which presents parents with a very thin path to follow, it seems like. So I love what you’re saying about how we gotta just de-stress the whole process.

Bethany Lockhart Johnson (10:11):

You’re avoiding the whole, “I wasn’t a math person either” kind of thing. <laugh>

Dan Meyer (10:15):

Right, right, right. Yeah. So I’d love to know more. We’re excited about the technology that you have studied and helped develop, presumably, called Bedtime Math, anapp for caregivers. And I’d love to know more about what that is and what it offers parents who know enough about math to know that they don’t want to transmit math anxiety to their children, but also want to support. So what does that offer them?

Marjorie Schaeffer (10:39):

So Bedtime Math is an app. It’s freely available on iTunes or the Apple Store or Google Play. And what it’s designed to do is to provide a nightly topical passage. So one of my favorites is the one about Groundhogs Day. And so it talks a little bit about the history of Groundhogs Day, and then it asks math-related follow-up questions. So starting at a preschool level, going through late fifth grade. And it’s really meant for parents to pick the one that meets their children where they are. And so the preschool-level question asks children to pretend to be a groundhog and walk to the left and walk to the right. So a skill that families might not think about as being math, but we actually think that IS part of understanding math. Understanding left and right directionality. And then the next question can ask questions like, “If it took the groundhog three seconds to climb out of the hole, and then two more seconds to see its shadow, how much time did it take all together?” So a simple addition problem, but it’s phrased in a fun way. And so the hope is that for high math-anxious families, these interactions are fun and playful. They don’t look like fights over homework. They’re just conversations that families can have around topics that are naturally interesting to children. And our hope is that when families have lots of these positive low-stakes interactions, they actually can see that we can talk about math in unstressful ways. In lots of ways, right? We can also do this at the grocery store. We can also do this while we’re cooking in the kitchen. It doesn’t just have to be fights over homework.

Bethany Lockhart Johnson (12:14):

And I actually have the Bedtime Math — one of the Bedtime Math books. And I was so excited to find out that there’s an app. And I think one of the things that I loved about the book is that these are invitations, right? They’re exactly that. Low pressure <laugh>, and they’re invitations to have a conversation. And if we were just to tell parents, “Oh, just count!” or, “Hey, just count wherever you go!” You know? No. It’s, in a way, I think, like you said, it’s retraining the parents on what math could look like. Like, “Oh, I didn’t even think we could just kind of have this conversation and we’re actually doing math together.”

Marjorie Schaeffer (12:55):

Yes, absolutely. I absolutely agree. We want it to be fun and playful and not stressful. And we want it to also be things that are meaningful to children’s lives. So these are topics children are interested in. It’s not that we are using flashcards or making children practice math facts over and over again. These are things children should wanna do that can naturally fit into a child’s routine. So almost all families read books before bed, and what we hope is that math can also be a part of the nighttime routine.

Dan Meyer (13:27):

There’s something really subtle here going on that I just wanna name and ask a question about. First of all, it’s cool that you started with studying high-stakes stuff and now you are developing low-stakes stuff. And I’m really curious what makes a thing low-stakes? Like, a few things I’m hearing from you is that there’s, like … I have a small child that I read literature to on a nightly basis. And I feel very anxiety-free doing that. And it’s almost as though, because each of the — tasks is the wrong word for this, but experiences — involve some reading, it puts me, the parent, in a mode that is comfortable and familiar to me. I’m curious: Are there other, as you design, what, one per day for a year? All these different experiences. What are some of the principles that you lean on that help make a thing low-stakes for kids and for parents?

Marjorie Schaeffer (14:17):

Yeah, that’s a great question. So one thing we wanted to be really intentional about is that our app doesn’t look like a lot of traditional apps. There isn’t noises that go off. You don’t enter an answer. And so one of the things that we thought made it low-stakes is that while there is a right or wrong answer — there is a correct answer — we aren’t giving children upsetting feedback. Instead, what we wanna encourage families to do is, if you struggle to remember how many seconds it took the groundhog to come out of the hole, you can work through that with a parent. So it doesn’t feel like you’re getting negative feedback; you’re being told you’re bad at math; you did it wrong. Instead, you’re just getting natural support moving forward. And so that’s one thing we wanted to be really intentional about, was that it wasn’t going to be a negative experience for children. And we are trying to build on all of the positive interactions families are having around nightly book reading. So many ways this can look very similar. You get to read another story that’s topical and hopefully interesting. And then do these little questions together. And so for a lot of families, their children don’t actually really look at the question. It almost feels like the parent is just asking them on their own. Like, they just came up with it. They just wanted to know what would happen to the groundhog. If there were three more groundhogs? How many groundhogs would we have all together? Not like it’s gonna be like homework or other parts.

Dan Meyer (15:38):

So my understanding is that there isn’t a blank into which people type a number in, press “submit” for evaluation, receive the red X, the green check. That’s a key part of the design here.

Marjorie Schaeffer (15:50):

Yes, absolutely. And for research purposes, we would’ve loved to know what families were saying. But we think it’s really important that it’s fun, interactive, that families are working together to get to the right answer, that it’s not a test for children.

Bethany Lockhart Johnson (16:03):

In your research, when you were — maybe you could walk us through the study a little bit. But I’m also curious if you heard from parents that it was carrying over beyond the bedtime routine. Because I would imagine, if I am building these skills and reading these questions and learning that I could talk to my kid like this about math in a fun way, that’s gonna happen then, like you said, when I’m in the grocery store. Or when I’m waiting in line for at the bank. Or whatever, you know? People go into banks now still, right?

Marjorie Schaeffer (16:35):

Yeah, absolutely. So in our study, we recruited almost 600 families and we randomly assigned them. So they had an equal chance of getting both our math app and what we call our control app. And that’s really just a math app without the math. We think of it as a reading control app. And that’s because we wanna make sure that families are having a similar experience, that it’s not just that having high-quality, fun interactions with your child is actually impacting children’s math achievement. And so what we then did is followed those children over the course of early elementary school. And so we worked with them in schools in the fall and spring of first, second, and third grade, really to look at their math learning. And so what we find is that children of high math-anxious adults, when they have the reading app, so what we think of as what’s happening in the real world, we see that really classic gap between children of high math-anxious adults and children of low math-anxious adults. So if you have a high math-anxious parent, you’re learning about three months less math over the course of first grade. But for children who receive this math app, we see this gap as closed. Those children look no different than a low math-anxious parent. And so that’s leading us to think that we’ve helped families talk about math in fundamentally different ways. We did a little bit of just talking to families to see a little bit about what might be going on. And a lot of families do report exactly what you’re describing, where they say this did help them talk about math in different ways they were doing it other times.

Dan Meyer (18:10):

That’s a really extraordinary study design. I don’t know … I love that you folks gave the control group not nothing. Like it’s possible that just parents and kids bonding over a thing regularly would be enough to provoke some kind of academic gain. But you gave the control group a thing that had them interacting socially, bonding, and still this large common gap between high-anxious and low-anxious parents, their kids shrunk together. Is that what I’m gathering here?

Marjorie Schaeffer (18:41):

Yeah, absolutely. So we’re basically seeing we can no longer, when we look at children’s data, say that parents’ math anxiety explains individual differences. So these children look really similar. They’re learning more than children who has a high math-anxious parent and just got our reading control app.

Dan Meyer (19:01):

just diving into the study a little bit more here, what is the time commitment? Or, did you guide parents to say, “All right, we’re gonna do this do this delightful story about a badger for an hour”? Or did people do it for five minutes? And what was the time commitment, roughly, for people?

Marjorie Schaeffer (19:17):

So we tell families to do it however they see fit. Because it is an app, we are able to get some sense of how long, and we are talking about three to six minutes for many families. For a lot of families, they’re reading a paragraph, the paragraph and a half, and then answering one or two questions. They’re not going through every possible question. They’re just doing a little bit, really meeting their kids where they are.

Dan Meyer (19:39):

Roughly how many times per week was that?

Marjorie Schaeffer (19:41):

So we asked families to do it as much as it fit. But we’re seeing about two and a half on average in the first year. And so families are fitting it in a couple of nights a week. It’s not every night.

Bethany Lockhart Johnson (19:52):

So what it sounds like you’re saying is what really was powerful about this app is that it was the space and time and prompts between the caregiver and the child, that chance to really sit down and have some of these meaningful and positive math interactions. How did it shift those relationships?

Marjorie Schaeffer (20:12):

So one of the things I think that makes the app effective is the changing of expectations. After a year, families are really using the app a lot less. And I think that’s OK, that they have found other ways to incorporate math into their lives. And we find that we don’t see an impact on their math anxiety, that they aren’t becoming less math anxious from this experience. Which I think makes sense, because they have had a lifetime of math anxiety. But we do see a change in parents’ expectations and value of math. So they expect their children will be better at math, and they also report that math is more important in their children’s lives. And so I think that’s an important part of it, which is, we can change these values for families, even if we aren’t able to change the math anxiety of the adults in children’s lives.

Bethany Lockhart Johnson (21:01):

I want to for a second before — because I’m loving this idea of the app, and I’m excited to find out more ways to cultivate these conversations in my home and also share this with other folks. Because even folks who don’t even maybe realize they have math anxiety … like you said, so often it’s unconscious. So often we’re putting these little snippets into our everyday conversation, like, “Oh yeah, I’m not a math person.” And we don’t even realize how much is impacting our kiddos and ourselves, right? So I am really curious: What do you think … in your research, what were some other takeaways that you feel like are really strategies that we can think about for combating math anxiety in general?

Marjorie Schaeffer (21:47):

So I’m particularly interested in thinking about how math-anxious adults can help tone down their anxiety so that they can have high-quality interactions with their children, that they interact with. And so one of the big takeaways for my research, I think, is that math-anxious families can help their children with math. They just need support. And so I think there are lots of ways for that support to look like. One, I think it can be an app, but I also think reading a little bit about math can be really helpful. So it’s not new. So the first time you aren’t thinking about some of these ideas is as your child has their homework open in front of you. And so you can process your own feelings separately before you have to do it with a child. I also think reminding parents that math is everywhere and that math is actually lots of things that we all love to do. Math isn’t just calculus. Not that calculus isn’t wonderful. But that math is measuring, math is counting ducks at the park. Math is talking about how many times did I go down this slide. And talking about math in this way, I think reminds families that they are great at that. That even if maybe they’ve had bad math experiences before, they can do math. Especially the way their preschool or early childhood, early elementary school student needs them to. And I think that can then set the foundation for being really successful later.

Dan Meyer (23:13):

So is your research then, your subsequent studies, your line of inquiry, is moving more towards how to support parents, then? Is that what I’m hearing?

Marjorie Schaeffer (23:22):

Yeah. So I’m really interested in both understanding how the math anxiety of parents and teachers influences children. And so math anxiety is really common and we know that it’s particularly common in early elementary school teachers. And so it’s very likely that children are interacting with a highly math-anxious adult. And so I’m really interested in thinking about how we can support those individuals in doing it. And so both, I think, things like Bedtime Math, which provide fun, unscripted ways to do that, but I’m also interested in the teacher equivalent. So, thinking about whether having things like a math coach can help teachers have more positive experiences with math. So if you see someone else play math games with your students, can that help you do it as well?

Dan Meyer (24:09):

It makes me wonder a lot about an app for teachers or an app for parents, one that’s not designed to be co-consumed with kids and their parents. But what that would look like … yeah, that’s really interesting.

Bethany Lockhart Johnson (24:21):

If we have a parent who, let’s say they have a third grader, fourth grader, fifth grader, or a middle schooler, right? Outside of early education. And they say, “OK, but what do I do? I’m with my kiddo; I don’t remember this math.” And they’re realizing that their anxiety may be influencing their kiddos’ disposition of mathematics, Or maybe they’re just in the midst of the battle <laugh>. What would you say to those folks, especially if it’s math that maybe they’re not comfortable with?

Marjorie Schaeffer (24:56):

One, I think we should like tone down the stress, right? Remind ourselves that it’s homework and homework feels really high-stakes, but these other outcomes are really high-stakes too, right? And so I’m really interested in the idea that can we help parents feel more comfortable about math by watching their own children teach it to them. So what’s a concept that the fourth grader actually feels really good about? And can they remind their parent how to do it? Can, together, they problem-solve the math homework? And so it’s not just on the parent to give the child the right answer. We know that’s a recipe for communicating some negative things about math. But instead, help the parent-child pair figure it out together. So what are some resources we can do? Can we look it up on the internet together? Can we write an email to the teacher together? Can we think about what are other problems that maybe we know how to do, and therefore we can use that same model here? So I want parents to feel like they are not solely responsible for it. That they can help figure it out with their child together. And so it’s a fun interaction.

Bethany Lockhart Johnson (26:02):

I love that. I love that.

Dan Meyer (26:03):

Yeah. Yeah. That’s wonderful. Yeah. A conviction that I have, and I think it’s true, is that any math that we’re learning at middle school, the attraction can be dialed down to a degree that a very small child, or a parent who has a very small child’s understanding of math, can appreciate. So instead of calculation, estimation. Instead of proof, just make a claim about something. And it makes me wonder about a companion to the work that’s happening in schools that parents feel inadequate to support, that students might not want to teach their parents. But which they could both, on a daily basis, say, “Here’s a way we can engage in this at a level that is comfortable to both of us.” Just dreaming out loud here. No question asked. No response needed. I just love your work. And made me wonder about that. Can you let me know your thoughts about technology? It is very rare that we have someone on the call who is an academic and very well-versed in research, but who also is published not just in in papers and textbooks, but also in digital media. It’s consumed by lots of people. So I am trusting that you have opinions about how math looks in technology. And I wonder if you’d offer some thoughts about how it goes, right? How it goes wrong from your own eyes.

Marjorie Schaeffer (27:14):

OK. That’s a great question. I think that we need more research. I first wanna say that I think that technology has really exploded in the last few years. How children have access to technology and screen times has really changed. And what we need is high-quality research happening. That said, I think that all of the things we know from child-development research still apply to technology. And so we know that children learn best when they are engaging in interactions with their parents. And so when families can use technology together, or at least can talk about what’s happening, it can be really effective. I also think technology, especially math apps, are best at teaching concrete skills with very clear answers. So I think practicing math facts is a great use of technology. So I love that Sushi math app where you solve multiplication problems and then get to quickly pull the sushi off the cart, right? But for higher-level questions, where we’re thinking about word problems or where what we’re helping to teach students is complex thinking, apps have a harder time doing that. Because students can often figure out the answer without engaging in the thinking that we are hoping that they’ll learn. And so I think technology absolutely has a piece. I think technology is helpful for parents. I think the logistics of helping parents live their lives is a good reason to use technology. But I think we need to be conscious of what it’s replacing. And so I think a world in which we think fourth graders can learn math only from apps is not realistic. But absolutely apps can be a great supplement to what’s already happening in the classroom.

Dan Meyer (28:56):

Yeah, that’s super-helpful. We have done a lot of work in digital curriculum here at Amplify, and often face the question on a daily basis, “Should this math be digital or on paper? Should we have the students stand up and talk or type something?” And those decisions are way too crucial and way more sensitive than a lot of the app-based education gives credit to. So appreciate your perspective there.

Marjorie Schaeffer (29:22):

OK. And I don’t think there’s one answer, or one answer for all classrooms. I think it’s like always a balancing act. I do think that one of the reasons our work is successful is because the parent-child interaction. And we want parents to learn from these experiences. And I think the same thing is true for for teachers.

Bethany Lockhart Johnson (29:41):

Dr. Schaeffer, thank you so much for being with us today and for sharing about your research, and again, for inviting us to reconsider ways that we can develop a more positive relationship with math. And that parent or caregiver or teacher relationship with a child, we’re seeing just how incredibly impactful that is. And I really appreciate your work and your voice on this. Thank you so much for your time.

Dan Meyer (30:07):

Thank you.

Marjorie Schaeffer (30:08):

Thank you for having me.

Bethany Lockhart Johnson (30:12):

Thank you again, Dr. Schaeffer, and thank you all for listening to our conversation. You can check out the show notes for more on Dr. Schaeffer’s work and to see a link to the app that we shared about Bedtime Math.

Dan Meyer (30:25):

Please keep in touch with us on Facebook at Math Teacher Lounge Community, and on Twitter at MTLShow.

Bethany Lockhart Johnson (30:32):

We would love to hear … you’ve been listening to this series; we’re dipping our toe into all these aspects of math anxiety. Is there something that you’re still wondering about? Something you wanna share about your own story with math anxiety?

Dan Meyer (30:43):

And if you haven’t already, if this is your first exposure to the Math Teacher Lounge podcast, please subscribe to Math Teacher Lounge, wherever you get your fine podcast products. And if you like what you’re hearing, please rate us! Leave us a review. You’ll help more listeners find the show.

Bethany Lockhart Johnson (31:01):

And let a friend know. But you know, it’s, it’s nice and cozy here in the Lounge, right? There’s no pressure. We’re hanging out. It’s all about learning. We’re learning together. We’re glad you’re here and we want others in your community to join us in the Lounge as well. You can find more information on all of Amplify’s shows at our podcast hub. Go to amplifycom.wpengine.com/hub. Next time on Math Teacher Lounge, we’re gonna be chatting about where we are today that we weren’t a few months ago in this topic.

Dan Meyer (31:31):

We’ll be chatting about this last series about math anxiety, and trading our favorite insights and observations from the run of the season.

Bethany Lockhart Johnson (31:41):

I just love this series, Dan. And thanks, all, for listening. We really appreciate having you in the Lounge.

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What Marjorie Schaeffer says about math

“We want it to be a fun, low-stakes environment, especially in high-stakes scenarios like testing. We want children to have fun math experiences.”

– Marjorie Schaeffer

Assistant Professor of Psychology at Saint Mary’s College

Meet the guest

Marjorie Schaeffer is an assistant professor of psychological sciences at Saint Mary’s College. She received her Ph.D in developmental psychology from the University of Chicago. Marjorie is interested in the role parents and teachers play in the development of children’s math attitudes and performance. She is specifically interested in the impact of expectations and anxiety and on children’s academic performance. Her work has been published in outlets including ScienceJournal of Experimental Psychology: General, and Developmental Science.

A laptop displaying a Facebook group page for "Math Teacher Lounge Community," featuring profile photos, a group banner, and geometric shapes in the image background.

About Math Teacher Lounge

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

Amplify CKLA Review for Alabama

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What is Amplify CKLA?

Amplify CKLA is a core ELA program for grades PK–5 that delivers:

  • A unique research-based approach truly built on the Science of Reading.
  • A combination of explicit foundational skills with meaningful knowledge-building.
  • Embedded support and differentiation that gets all students reading grade-level texts together.
  • Opportunities for students to see the strengths and experiences that all people share while also celebrating each others’ unique identities and experiences.
A colorful rope diagram shows strands for language comprehension and word recognition, with images of reading and phonics materials near respective strands.

How does Amplify CKLA work?

Daily instruction

Grade PreK: Developmentally appropriate foundational knowledge

Our PreK program delivers developmentally appropriate instruction and activities that do more than lay the groundwork for foundational skills—they offer content knowledge, incorporating research that shows true literacy requires background knowledge in history, science, art, and literature. Amplify CKLA PreK easily fits into any class routine, with 45 minutes of interactive instruction designed to accommodate full-day or half-day schedules.

Grades K–2: Dedicated knowledge-building and explicit skills instruction
Every day, students in Grades K–2 complete one full lesson that explicitly and systematically builds foundational reading skills in the Skills Strand, as well as one full lesson that builds robust background knowledge to access complex text in the Knowledge Strand. Through learning in each of these strands, students develop the early literacy skills necessary to help them become confident readers and build the context to understand what they’re reading.

Grades 3–5: Integrated instruction
In Grades 3–5, Knowledge and Skills are integrated in one set of instructional materials. Lessons begin to combine skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis. Students can then use their skills to go on their own independent reading adventures.

Formative and summative assessments

A young boy in a light blue shirt writes in a notebook at his desk in a classroom, with other students working nearby.

Amplify CKLA features a progression of moment-by-moment assessments to benchmark assessments. Assessment and feedback give teachers the information they need to differentiate instruction effectively.

Checks for Understanding
Each lesson segment incorporates checks for understanding to increase engagement and to let teachers make real-time adjustments to their instruction.

Formative Assessment
Each lesson goal is tied to a formative assessment opportunity, allowing teachers to see which students need more support with a benchmark.

Mid- and End-of-Unit Assessments
Mid-Unit and End-of-Unit Assessments provide valuable information on the skills and content students have mastered. Digital end-of-unit assessments are available on a variety of platforms.

Benchmark and Placement Assessments
Benchmark and Placement Assessments help teachers set goals and monitor the growth of each student, providing a baseline at the beginning of the year and ensuring students are advancing toward grade-level objectives.

Download our CKLA Assessment Sampler

What makes Amplify CKLA different?

Integration with mCLASS DIBELS 8

Amplify CKLA is the only core ELA program that integrates with mCLASS DIBELS 8th Edition.

The CKLA Connect feature matches your students with targeted CKLA lessons based on their mCLASS DIBELS 8th Edition assessment data. In other words, it aligns your assessments more closely with your core curriculum while recommending effective differentiated instruction.

Download this guide to connecting mCLASS DIBELS 8 with Amplify CKLA

A digital dashboard displays lesson plans for CKLA Connect and a group labeled "Letter Sound Knowledge" with two students, showing progress and learning needs.

Built on the Science of Reading

Built out of the latest research in the Science of Reading, Amplify CKLA delivers explicit instruction in foundational knowledge in PreK, both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades K–2, and an integrated approach to explicit instruction in grades 3–5.

Review this Science of Reading toolkit to learn more about the Science of Reading best practices integrated throughout CKLA.

Explicit systematic skills instruction

Great reading instruction starts with helping kids develop great decoding skills. By building a solid foundation of phonological awareness and phonics, reading the words on the page becomes automatic so that comprehension and critical thinking can happen. Our instruction is supported by:

  • Step-by-step lessons with multisensory approaches, clear lesson objectives, and embedded formative assessments.
  • Decodable books and student readers with ebook and audiobook versions that feature interesting plots and relatable characters.
  • An engaging sound library with fun songs and videos that develop phonological awareness.
  • An interactive Vocab App featuring engaging activities with immediate feedback and automated, customized instruction based on student performance.

Coherent knowledge instruction

Students build grade-appropriate subject-area knowledge and vocabulary in history, science, literature, and the arts while learning to read, write, and think creatively and for themselves. Our instruction is supported by:

  • Knowledge builders that provide a quick overview of each domain with its key ideas.
  • Interactive Read-Alouds designed to build knowledge and vocabulary.
  • Content-rich anchor texts that support students as they tackle increasingly complex text and sharpen their analytical skills.
  • Social and emotional learning paired with lessons in civic responsibility.
Illustration montage featuring scenes of learning: a cartoon character with books, two people shoveling snow under the stars, and an astronaut on a lunar landscape, with educational interfaces.

Embedded differentiation for all learners

Amplify CKLA provides built-in differentiation strategies in every lesson for all students, including supports for English language learners and Standard English learners.

  • Access supports for ELLs: Integrated ELD supports in each lesson segment for English learners and Standard English learners are specific to students’ mastery of the lesson’s objectives.
  • Support and Challenge for all learners: Lessons include Support and Challenge suggestions that provide assistance or opportunities for more advanced work toward the goal of the lesson. These supports are suitable for all learners, including ELLs.
  • 30 minutes of Additional Support in every Skills lesson: In the Skills Strand, every lesson concludes with an Additional Support section of recommendations for 30 minutes of extended instruction and activities, directly aligned to the skills taught in the lesson to assist students who need more support in mastering the lesson’s objectives.
  • Intervention Toolkit: The Intervention Toolkit provides easy-to-use resources to assist teachers in filling gaps in students’ foundational skills. Teachers will find of hundreds of activities to support phonics, fluency, comprehension, handwriting, and other key skills.

Designated ELD with Language Studio

Amplify CKLA’s designated English Language Development (ELD) component—Language Studio—helps English learners preview and revisit key content within core instruction, building a foundation of academic vocabulary and background knowledge. Core instruction lessons include point-of-use supports for English learners and Support and Challenge strategies for all learners.

Young boy with his hands over his mouth, looking up in wonder, beside a diagram labeled "language studio" with educational elements.

This carefully developed program follows the CKLA Knowledge domains, previewing and reinforcing skills and content from core instruction using instruction specifically built for English learners. The program is also designed around frequent formative assessment, including assessment of language proficiency, giving you effective ways to guide and support your English learners.

Language Studio supports teachers and English learners through the following:

  • 30 minutes of instruction with lesson segments are carefully designed around Content Knowledge, Meaning Making, Language Development, Effective Expression, and Foundational Skills.
  • Every Language Studio lesson accompanies a core lesson, helping English learners deepen domain and academic vocabulary that will help them access core content.
  • Culminating tasks support core projects and target the same skills as primary instruction.

Writing emphasis with Writing Studio

With Writing Studio, students in Grades K-5 focus deeply on the three key text types informative, narrative, and opinion–while applying both the skills and knowledge from the core program.

Writing Studio supports students through:

  • Expanding on core writing instruction to develop analytical thinking through writing.
  • Lessons that focus on writing standards, providing intensive focus and application to strengthen skills.
  • Opportunities to apply knowledge in new contexts and deepen comprehension through writing.
  • Scaffolded writing projects to help all students find success within the stages of the writing process.
Covers of four "Writing Studio Teacher Guide" books for different grades, featuring educational icons in orange, purple, blue, and teal color schemes.

Writing Studio lessons:

  • Allow teachers to differentiate through Support and Challenge prompts for students at all levels, and Access Supports for ELLs.
  • Spark creativity with authentic writing projects that call on students to engage deeply with rich topics and sources.
  • Implement careful design and provide rubrics so that students’ writing skills can visibly grow throughout the year.

A culminating project in each grade asks students to apply their knowledge and understanding of text types and to select the appropriate text type for a final piece of writing.

Personalized practice with Boost Reading

Boost Reading is the student-driven skill practice program within CKLA, providing differentiated, digital instruction in both foundational skills and comprehension strategies. Because Boost Reading is built on the same approach to reading as CKLA, students are able to extend their learning from the core program further, at their own pace.

Amplify CKLA and Boost Reading reinforce each other through:

  • An aligned scope and sequence and instructional approach: In both programs, students get instruction and practice in phonological awareness and phonics, with the most common, least ambiguous spellings first.
  • Consistent vocabulary words: Many Amplify CKLA words are taught and practiced in Boost Reading vocabulary games.
  • Complementary texts: Fiction and nonfiction books within Boost Reading reinforce Amplify CKLA knowledge domains.
  • Seamless integrations between platforms: Students can easily access Boost Reading directly from the Amplify CKLA Student Hub.
Educational website interface showing icons for theater, sounds, library, and activities with a greeting "hello student!" and a grade level indicator.

Ready-to-go slides and all-in-one platform

The slides-based Amplify CKLA digital experience enhances instruction while saving you time. Everything you need is all in one place, making it easier than ever to plan lessons, present digital content, and review student work.

  • Simplify planning and instruction: Teachers have access to ready-to-use and customizable lesson presentation slides, complete with all the prompts from the print Teacher Guide embedded in the teacher view. As teachers deliver each lesson, students can engage with the content in one cohesive
    experience—through Activity Books, slides, digital components, videos, Student Readers, and more.
  • Interactive student activities: Through the Student Home, students can easily access digital lessons with slides, Activity Pages, ebooks, videos, and other interactive resources from one simple dashboard.
  • Your teacher command center: You’re provided with the tools you need to ensure a productive digital experience that’s personalized to meet your students’ needs. This includes a teacher home from which to launch and track lessons, LMS integrations such as Google Classroom and Microsoft Teams, and other customizations based on classroom needs.
  • Get real-time insights into your students’ work: The innovative live review tool enables you to keep an eye on students drawing, recording audio, uploading and capturing images, and typing or writing in pre-placed text boxes in their Activity Pages.

Navigating the program

Digital navigation walkthrough

Physical materials walkthrough

Sample materials

Demo access

A laptop screen displays the Amplify login page with options to log in using Google, Clever, Amplify, QR code, or District SSO. Help and sign-up links are also visible.

Follow the instructions below to access your demo account.

  • Click the CKLA Demo button below.         s1.mcps2024@demo.tryamplify.net
    • Enter the password: Amplify1-mcps2024
    • Click the desired program on the left side of the page.

Additional resources

Amplify CKLA review resources:

What is Amplify CKLA?

Amplify CKLA is a core ELA program for grades K–5 that delivers:

  • A unique research-based approach truly built on the Science of Reading.
  • A combination of explicit foundational skills with meaningful knowledge-building.
  • Embedded support and differentiation that gets all students reading grade-level texts together.
  • Opportunities for students to see the strengths and experiences that all people share while also celebrating each others’ unique identities and experiences.
Reading rope showing knowledge-building and skill development strands, and the merging of language comprehension and word recognition

How does Amplify CKLA work?

Grades K–2: Dedicated knowledge-building and explicit skills instruction
Every day, students in Grades K–2 complete one full lesson that explicitly and systematically builds foundational reading skills in the Skills Strand, as well as one full lesson that builds robust background knowledge to access complex text in the Knowledge Strand. Through learning in each of these strands, students develop the early literacy skills necessary to help them become confident readers and build the context to understand what they’re reading.

Grades 3–5: Integrated instruction
In Grades 3–5, Knowledge and Skills are integrated in one set of instructional materials. Lessons begin to combine skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis. Students can then use their skills to go on their own independent reading adventures.

How does Amplify CKLA integrate with the other parts of the literacy system?

Amplify CKLA + mCLASS® with DIBELS® 8th Edition

Amplify CKLA integrates with your mCLASS assessment through the CKLA Connect feature, which matches your students with targeted CKLA lessons based on their mCLASS assessment data. In other words, it aligns your assessments more closely with your core curriculum while recommending effective differentiated instruction.

Screenshot of an educational platform. It shows lesson plans for a group on "Letter Sound Knowledge" under the heading "CKLA Connect." Group 2 has 2 students. Activities for phonics skills are listed below.

Amplify CKLA + Amplify Reading

Amplify Reading is the student-driven skill practice program within CKLA, providing differentiated, digital instruction in both foundational skills and comprehension strategies. Because Amplify Reading is built on the same approach to reading as CKLA, students are able to extend their learning from the core program further, at their own pace.

Amplify CKLA and Amplify Reading reinforce each other through:

  • An aligned scope and sequence and instructional approach: In both programs, students get instruction and practice in phonological awareness and phonics, with the most common, least ambiguous spellings first.
  • Consistent vocabulary words: Many Amplify CKLA words are taught and practiced in Amplify Reading vocabulary games.
  • Complementary texts: Fiction and nonfiction books within Amplify Reading reinforce Amplify CKLA knowledge domains.
  • Seamless integrations between platforms: Students can easily access Amplify Reading directly from the Amplify CKLA Student Hub.
Educational website interface showing icons for theater, sounds, library, and activities with a greeting "hello student!" and a grade level indicator.

What makes Amplify CKLA different?

Built on the Science of Reading

Built out of the latest research in the Science of Reading, Amplify CKLA delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades K–2 with an integrated approach to explicit instruction in grades 3–5.

Review this Science of Reading toolkit to learn more about the Science of Reading best practices integrated throughout CKLA.

Explicit systematic skills instruction

Great reading instruction starts with helping kids develop great decoding skills. By building a solid foundation of phonological awareness and phonics, reading the words on the page becomes automatic so that comprehension and critical thinking can happen. Our instruction is supported by:

  • Step-by-step lessons with multisensory approaches, clear lesson objectives, and embedded formative assessments.
  • Decodable books and student readers with ebook and audiobook versions that feature interesting plots and relatable characters.
  • An engaging sound library with fun songs and videos that develop phonological awareness.
  • An interactive Vocab App featuring engaging activities with immediate feedback and automated, customized instruction based on student performance.

Coherent knowledge instruction

Students build grade-appropriate subject-area knowledge and vocabulary in history, science, literature, and the arts while learning to read, write, and think creatively and for themselves. Our instruction is supported by:

  • Knowledge builders that provide a quick overview of each domain with its key ideas.
  • Interactive Read-Alouds designed to build knowledge and vocabulary.
  • Content-rich anchor texts that support students as they tackle increasingly complex text and sharpen their analytical skills.
  • Social and emotional learning paired with lessons in civic responsibility.
Illustration montage featuring scenes of learning: a cartoon character with books, two people shoveling snow under the stars, and an astronaut on a lunar landscape, with educational interfaces.

Embedded differentiation for all learners

Amplify CKLA provides built-in differentiation strategies in every lesson for all students, including supports for English learners and Standard English learners.

  • Access supports for ELs: Integrated ELD supports in each lesson segment
    for English learners and Standard English learners are specific to students’ mastery of the lesson’s objectives.
  • Support and Challenge for all learners: Lessons include Support and Challenge suggestions that provide assistance or opportunities for more advanced work toward the goal of the lesson. These supports are suitable for all learners, including ELs.
  • 30 minutes of Additional Support in every Skills lesson: In the Skills Strand, every lesson concludes with an Additional Support section of recommendations for 30 minutes of extended instruction and activities, directly aligned to the skills taught in the lesson to assist students who need more support in mastering the lesson’s objectives.
  • Intervention Toolkit: The Intervention Toolkit provides easy-to-use resources to assist teachers in filling gaps in students’ foundational skills. Teachers will find of hundreds of activities to support phonics, fluency, comprehension, handwriting, and other key skills.

Designated ELD

Amplify CKLA’s designated English Language Development (ELD) component—Language Studio—helps English learners preview and revisit key content within core instruction, building a foundation of academic vocabulary and background knowledge. Core instruction lessons include point-of-use supports for English learners and Support and Challenge strategies for all learners.

Young boy with his hands over his mouth, looking up in wonder, beside a diagram labeled "language studio" with educational elements.

This carefully developed program follows the CKLA Knowledge domains, previewing and reinforcing skills and content from core instruction using instruction specifically built for English learners. The program is also designed around frequent formative assessment, including assessment of language proficiency, giving you effective ways to guide and support your English learners.

Language Studio supports teachers and English learners through the following:

  • 30 minutes of instruction with lesson segments are carefully designed around Content Knowledge, Meaning Making, Language Development, Effective Expression, and Foundational Skills.
  • Every Language Studio lesson accompanies a core lesson, helping English learners deepen domain and academic vocabulary that will help them access core content.
  • Culminating tasks support core projects and target the same skills as primary instruction.

Ready-to-go slides and all-in-one platform

The slides-based Amplify CKLA digital experience enhances instruction while saving you time. Everything you need is all in one place, making it easier than ever to plan lessons, present digital content, and review student work.

  • Simplify planning and instruction: Teachers have access to ready-to-use and customizable lesson presentation slides, complete with all the prompts from the print Teacher Guide embedded in the teacher view. As teachers deliver each lesson, students can engage with the content in one cohesive
    experience—through Activity Books, slides, digital components, videos, Student Readers, and more.
  • Interactive student activities: Through the Student Home, students can easily access digital lessons with slides, Activity Pages, ebooks, videos, and other interactive resources from one simple dashboard.
  • Your teacher command center: You’re provided with the tools you need to ensure a productive digital experience that’s personalized to meet your students’ needs. This includes a teacher home from which to launch and track lessons, LMS integrations such as Google Classroom and Microsoft Teams, and other customizations based on classroom needs.
  • Get real-time insights into your students’ work: The innovative live review tool enables you to keep an eye on students drawing, recording audio, uploading and capturing images, and typing or writing in pre-placed text boxes in their Activity Pages.

Navigating the program

Digital navigation walkthrough

Physical materials walkthrough

Sample materials

Demo access

Laptop screen displaying a login page for "amplify" with multiple sign-in options including google, clever, a qr code, and district sso.

Follow the instructions below to access your demo account.

  • Click the CKLA Demo button below.
  • Select Log in with Amplify.
  • To explore as a teacher, enter this username: t1.alaskareads@demo.tryamplify.net
  • To explore as a student, enter this username: s1.alaskareads@demo.tryamplify.net
  • Enter the password: Amplify1-alaskareads
  • Click the Programs and apps menu
  • Select CKLA Teacher Resource Site
  • Select the desire grade level

Check out these additional resources

Amplify CKLA review resources:

What is Amplify CKLA?

Amplify CKLA is a core ELA program for grades TK–5 that delivers:

  • A unique research-based approach truly built on the Science of Reading.
  • A combination of explicit foundational skills with meaningful knowledge-building.
  • Embedded support and differentiation that gets all students reading grade-level texts together.
  • Opportunities for students to see the strengths and experiences that all people share while also celebrating each others’ unique identities and experiences.
  • Equitable and authentic Spanish language arts instruction with Amplify Caminos.
Reading rope showing knowledge-building and skill development strands, and the merging of language comprehension and word recognition

How does Amplify CKLA work?

Grades K–2: Dedicated knowledge-building and explicit skills instruction
Every day, students in Grades K–2 complete one full lesson that explicitly and systematically builds foundational reading skills in the Skills Strand, as well as one full lesson that builds robust background knowledge to access complex text in the Knowledge Strand. Through learning in each of these strands, students develop the early literacy skills necessary to help them become confident readers and build the context to understand what they’re reading.

Grades 3–5: Integrated instruction
In Grades 3–5, Knowledge and Skills are integrated in one set of instructional materials. Lessons begin to combine skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis. Students can then use their skills to go on their own independent reading adventures.

What makes Amplify CKLA different?

Built on the Science of Reading

Built out of the latest research in the Science of Reading, Amplify CKLA delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades K–2 with an integrated approach to explicit instruction in grades 3–5.

Review this Science of Reading toolkit to learn more about the Science of Reading best practices integrated throughout CKLA.

Explicit systematic skills instruction

Great reading instruction starts with helping kids develop great decoding skills. By building a solid foundation of phonological awareness and phonics, reading the words on the page becomes automatic so that comprehension and critical thinking can happen. Our instruction is supported by:

  • Step-by-step lessons with multisensory approaches, clear lesson objectives, and embedded formative assessments.
  • Decodable books and student readers with ebook and audiobook versions that feature interesting plots and relatable characters.
  • An engaging sound library with fun songs and videos that develop phonological awareness.
  • An interactive Vocab App featuring engaging activities with immediate feedback and automated, customized instruction based on student performance.

Coherent knowledge instruction

Students build grade-appropriate subject-area knowledge and vocabulary in history, science, literature, and the arts while learning to read, write, and think creatively and for themselves. Our instruction is supported by:

  • Knowledge builders that provide a quick overview of each domain with its key ideas.
  • Interactive Read-Alouds designed to build knowledge and vocabulary.
  • Content-rich anchor texts that support students as they tackle increasingly complex text and sharpen their analytical skills.
  • Social and emotional learning paired with lessons in civic responsibility.
Illustration montage featuring scenes of learning: a cartoon character with books, two people shoveling snow under the stars, and an astronaut on a lunar landscape, with educational interfaces.

Embedded differentiation for all learners

Amplify CKLA provides built-in differentiation strategies in every lesson for all students, including supports for English learners and Standard English learners.

  • Access supports for ELs: Integrated ELD supports in each lesson segment
    for English learners and Standard English learners are specific to students’ mastery of the lesson’s objectives.
  • Support and Challenge for all learners: Lessons include Support and Challenge suggestions that provide assistance or opportunities for more advanced work toward the goal of the lesson. These supports are suitable for all learners, including ELs.
  • 30 minutes of Additional Support in every Skills lesson: In the Skills Strand, every lesson concludes with an Additional Support section of recommendations for 30 minutes of extended instruction and activities, directly aligned to the skills taught in the lesson to assist students who need more support in mastering the lesson’s objectives.
  • Intervention Toolkit: The Intervention Toolkit provides easy-to-use resources to assist teachers in filling gaps in students’ foundational skills. Teachers will find of hundreds of activities to support phonics, fluency, comprehension, handwriting, and other key skills.

Designated ELD

Amplify CKLA’s designated English Language Development (ELD) component—Language Studio— helps English learners preview and revisit key content within core instruction, building a foundation of academic vocabulary and background knowledge. Core instruction lessons include point-of-use supports for English learners and Support and Challenge strategies for all learners.

Young boy with his hands over his mouth, looking up in wonder, beside a diagram labeled

Built on the California ELA/ELD Framework, our carefully developed program follows the CKLA Knowledge domains, previewing and reinforcing skills and content from core instruction using instruction specifically built for English learners. The program is also designed around frequent formative assessment, including assessment of language proficiency, giving you effective ways to guide and support your English learners.

Language Studio supports teachers and English learners through the following:

  • 30 minutes of instruction with lesson segments are carefully designed around Content Knowledge, Meaning Making, Language Development, Effective Expression, and Foundational Skills.
  • Every Language Studio lesson accompanies a core lesson, helping English learners deepen domain and academic vocabulary that will help them access core content.
  • Culminating tasks support core projects and target the same skills as primary instruction.

Ready-to-go slides and all-in-one platform

The slides-based Amplify CKLA digital experience enhances instruction while saving you time. Everything you need is all in one place, making it easier than ever to plan lessons, present digital content, and review student work.

  • Simplify planning and instruction: Teachers have access to ready-to-use and customizable lesson presentation slides, complete with all the prompts from the print Teacher Guide embedded in the teacher view. As teachers deliver each lesson, students can engage with the content in one cohesive
    experience—through Activity Books, slides, digital components, videos, Student Readers, and more.
  • Interactive student activities: Through the Student Home, students can easily access digital lessons with slides, Activity Pages, ebooks, videos, and other interactive resources from one simple dashboard.
  • Your teacher command center: You’re provided with the tools you need to ensure a productive digital experience that’s personalized to meet your students’ needs. This includes a teacher home from which to launch and track lessons, LMS integrations such as Google Classroom and Microsoft Teams, and other customizations based on classroom needs.
  • Get real-time insights into your students’ work: The innovative live review tool enables you to keep an eye on students drawing, recording audio, uploading and capturing images, and typing or writing in pre-placed text boxes in their Activity Pages.

How does Amplify CKLA integrate with the other parts of the literacy system?

Amplify CKLA + mCLASS® with DIBELS® 8th Edition

Amplify CKLA integrates with your mCLASS assessment through the CKLA Connect feature, which matches your students with targeted CKLA lessons based on their mCLASS assessment data. In other words, it aligns your assessments more closely with your core curriculum while recommending effective differentiated instruction.

Screenshot of an educational platform. It shows lesson plans for a group on "Letter Sound Knowledge" under the heading "CKLA Connect." Group 2 has 2 students. Activities for phonics skills are listed below.

Amplify CKLA + Amplify Reading

Amplify Reading is the student-driven skill practice program within CKLA, providing differentiated, digital instruction in both foundational skills and comprehension strategies. Because Amplify Reading is built on the same approach to reading as CKLA, students are able to extend their learning from the core program further, at their own pace.

Amplify CKLA and Amplify Reading reinforce each other through:

  • An aligned scope and sequence and instructional approach: In both probrams, students get instruction and practice in phonological awareness and phonics, with the most common, least ambiguous spellings first.
  • Consistent vocabulary words: Many Amplify CKLA words are taught and practiced in Amplify Reading vocabulary games.
  • Complementary texts: Fiction and nonfiction books within Amplify Reading reinforce Amplify CKLA knowledge domains.
  • Seamless integrations between platforms: Students can easily access Amplify Reading directly from the Amplify CKLA Student Hub.
Educational website interface showing icons for theater, sounds, library, and activities with a greeting "hello student!" and a grade level indicator.

Navigating the program

Digital navigation walkthrough

Physical materials walkthrough

Check out these additional resources

Amplify CKLA review resources:

What is Amplify CKLA?

Amplify CKLA is a core ELA program for grades TK–5 that delivers:

  • A unique research-based approach truly built on the Science of Reading.
  • A combination of explicit foundational skills with meaningful knowledge-building.
  • Embedded support and differentiation that gets all students reading grade-level texts together.
  • Opportunities for students to see the strengths and experiences that all people share while also celebrating each others’ unique identities and experiences.
  • Authentic Spanish language arts instruction with Amplify Caminos.
A visual diagram shows strands for language comprehension and word recognition skills intertwining, with related educational materials pictured alongside each set of skills.

How does Amplify CKLA work?

Grades K–2: Dedicated knowledge-building and explicit skills instruction
Every day, students in Grades K–2 complete one full lesson that explicitly and systematically builds foundational reading skills in the Skills Strand, as well as one full lesson that builds robust background knowledge to access complex text in the Knowledge Strand. Through learning in each of these strands, students develop the early literacy skills necessary to help them become confident readers and build the context to understand what they’re reading.

Grades 3–5: Integrated instruction
In Grades 3–5, Knowledge and Skills are integrated in one set of instructional materials. Lessons begin to combine skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis. Students can then use their skills to go on their own independent reading adventures.

What makes Amplify CKLA different?

Built on the Science of Reading

Built out of the latest research in the Science of Reading, Amplify CKLA delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades K–2 with an integrated approach to explicit instruction in grades 3–5.

Review this Science of Reading toolkit to learn more about the Science of Reading best practices integrated throughout CKLA.

Explicit systematic skills instruction

Great reading instruction starts with helping kids develop great decoding skills. By building a solid foundation of phonological awareness and phonics, reading the words on the page becomes automatic so that comprehension and critical thinking can happen. Our instruction is supported by:

  • Step-by-step lessons with multisensory approaches, clear lesson objectives, and embedded formative assessments.
  • Decodable books and student readers with ebook and audiobook versions that feature interesting plots and relatable characters.
  • An engaging sound library with fun songs and videos that develop phonological awareness.
  • An interactive Vocab App featuring engaging activities with immediate feedback and automated, customized instruction based on student performance.

Coherent knowledge instruction

Students build grade-appropriate subject-area knowledge and vocabulary in history, science, literature, and the arts while learning to read, write, and think creatively and for themselves. Our instruction is supported by:

  • Knowledge builders that provide a quick overview of each domain with its key ideas.
  • Interactive Read-Alouds designed to build knowledge and vocabulary.
  • Content-rich anchor texts that support students as they tackle increasingly complex text and sharpen their analytical skills.
  • Social and emotional learning paired with lessons in civic responsibility.
Illustration montage featuring scenes of learning: a cartoon character with books, two people shoveling snow under the stars, and an astronaut on a lunar landscape, with educational interfaces.

Embedded differentiation for all learners

Amplify CKLA provides built-in differentiation strategies in every lesson for all students, including supports for English learners and Standard English learners.

  • Access supports for ELs: Integrated ELD supports in each lesson segment
    for English learners and Standard English learners are specific to students’ mastery of the lesson’s objectives.
  • Support and Challenge for all learners: Lessons include Support and Challenge suggestions that provide assistance or opportunities for more advanced work toward the goal of the lesson. These supports are suitable for all learners, including ELs.
  • 30 minutes of Additional Support in every Skills lesson: In the Skills Strand, every lesson concludes with an Additional Support section of recommendations for 30 minutes of extended instruction and activities, directly aligned to the skills taught in the lesson to assist students who need more support in mastering the lesson’s objectives.
  • Intervention Toolkit: The Intervention Toolkit provides easy-to-use resources to assist teachers in filling gaps in students’ foundational skills. Teachers will find of hundreds of activities to support phonics, fluency, comprehension, handwriting, and other key skills.

Designated ELD

Amplify CKLA’s designated English Language Development (ELD) component—Language Studio— helps English learners preview and revisit key content within core instruction, building a foundation of academic vocabulary and background knowledge. Core instruction lessons include point-of-use supports for English learners and Support and Challenge strategies for all learners.

Young boy with his hands over his mouth, looking up in wonder, beside a diagram labeled

Built on the California ELA/ELD Framework, our carefully developed program follows the CKLA Knowledge domains, previewing and reinforcing skills and content from core instruction using instruction specifically built for English learners. The program is also designed around frequent formative assessment, including assessment of language proficiency, giving you effective ways to guide and support your English learners.

Language Studio supports teachers and English learners through the following:

  • 30 minutes of instruction with lesson segments are carefully designed around Content Knowledge, Meaning Making, Language Development, Effective Expression, and Foundational Skills.
  • Every Language Studio lesson accompanies a core lesson, helping English learners deepen domain and academic vocabulary that will help them access core content.
  • Culminating tasks support core projects and target the same skills as primary instruction.

Ready-to-go slides and all-in-one platform

The slides-based Amplify CKLA digital experience enhances instruction while saving you time. Everything you need is all in one place, making it easier than ever to plan lessons, present digital content, and review student work.

  • Simplify planning and instruction: Teachers have access to ready-to-use and customizable lesson presentation slides, complete with all the prompts from the print Teacher Guide embedded in the teacher view. As teachers deliver each lesson, students can engage with the content in one cohesive
    experience—through Activity Books, slides, digital components, videos, Student Readers, and more.
  • Interactive student activities: Through the Student Home, students can easily access digital lessons with slides, Activity Pages, ebooks, videos, and other interactive resources from one simple dashboard.
  • Your teacher command center: You’re provided with the tools you need to ensure a productive digital experience that’s personalized to meet your students’ needs. This includes a teacher home from which to launch and track lessons, LMS integrations such as Google Classroom and Microsoft Teams, and other customizations based on classroom needs.
  • Get real-time insights into your students’ work: The innovative live review tool enables you to keep an eye on students drawing, recording audio, uploading and capturing images, and typing or writing in pre-placed text boxes in their Activity Pages.

How does Amplify CKLA integrate with the other parts of the literacy system?

Amplify CKLA + mCLASS® with DIBELS® 8th Edition

Amplify CKLA integrates with your mCLASS assessment through the CKLA Connect feature, which matches your students with targeted CKLA lessons based on their mCLASS assessment data. In other words, it aligns your assessments more closely with your core curriculum while recommending effective differentiated instruction.

A digital dashboard shows lesson summaries for CKLA Connect and a group of two students focusing on letter sound knowledge and related activities.

Amplify CKLA + Amplify Reading

Amplify Reading is the student-driven skill practice program within CKLA, providing differentiated, digital instruction in both foundational skills and comprehension strategies. Because Amplify Reading is built on the same approach to reading as CKLA, students are able to extend their learning from the core program further, at their own pace.

Amplify CKLA and Amplify Reading reinforce each other through:

  • An aligned scope and sequence and instructional approach: In both probrams, students get instruction and practice in phonological awareness and phonics, with the most common, least ambiguous spellings first.
  • Consistent vocabulary words: Many Amplify CKLA words are taught and practiced in Amplify Reading vocabulary games.
  • Complementary texts: Fiction and nonfiction books within Amplify Reading reinforce Amplify CKLA knowledge domains.
  • Seamless integrations between platforms: Students can easily access Amplify Reading directly from the Amplify CKLA Student Hub.
Screenshot of the CKLA Hub interface showing options for Theater, Sounds, Library, and Activities, with a note indicating access to Amplify Reading.

Navigating the program

Digital navigation walkthrough

Physical materials walkthrough

Sample materials

Demo access

A laptop screen displays the Amplify login page with options to log in using Google, Clever, Amplify, QR code, or District SSO.

Follow the instructions below to access your demo account.

  • Click the CKLA and Caminos Demo button below.
  • Select Log in with Amplify.
  • To explore as a teacher, enter this username: t1.westadackla@demo.tryamplify.net
  • To explore as a student, enter this username: s1.westadackla@demo.tryamplify.net
  • Enter the password: Amplify1-westadackla
  • Click the Programs and apps menu
  • Select CKLA Teacher Resource Site
  • Select the desire grade level
  • Use the toggle to switch between English (CKLA) and Spanish (Caminos) resources.

Note: Your demo account access expires on January 19, 2023.

Check out these additional resources

Amplify CKLA review resources:

Elk Grove Science K5

To view this protected page, enter the password below:



Getting started with Amplify Science California

Dear Elk Grove K–5 teachers,

Welcome to the Amplify Science California family! Below you’ll find everything you need to successfully kick off your science instruction this year.

– Your California team

Amplify Science - Student reading a book remote & hybrid

Program introduction

Onboarding videos

To start using Amplify Science California quickly in your classroom, check out the following onboarding videos. They cover what you need to know to get started fast, from unpacking materials to quickly start using Amplify Science in your classroom and navigating the digital Teacher’s Reference Guide.

Program pacing

Hands-on materials kit

The following videos give you a quick look into our Amplify Science California classroom kits. For each grade level, you’ll find a “How to unpack your kit” video for the first unit of the program.

Teacher digital resources

Watch this video to understand the basic organization of the digital teacher experience and how to navigate the platform.

Want some practice? Download this exploration guide to practice toggling between teacher view, presentation view, and student view.

Our new digital experience also makes it easy to assign work through our LMS integrations.

Our new digital experience also makes it easy to view student work in real time.

Student digital resources

Watch this video to take a peek at the various student digital resources available to your class.

Use this Student Login Click Path document to support students and families logging in from home.

Essential resources

Your Teacher’s Reference Guide is a tremendously rich resource. It’s also packed! That’s why teachers getting started with Amplify Science love our condensed Unit Guides, lesson planners, and device calendars.

Unit Guides

These short and sweet guides provide a big picture overview of each unit’s phenomenon and storyline, the key questions that guide learning, and how the storyline develops from chapter to chapter. We even spoil the big reveal at the end by pointing out ahead of time what students figure out throughout the unit.

A laptop displays an educational website titled "The Earth System" with lesson modules; a printed Teacher’s Guide with a similar cover design is shown beside it.

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Lesson planners

Our lesson planners give you easy access to direct links to key resources within the program.

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Teacher-provided materials

Your Amplify Science classroom kit includes a wide variety of consumable and non-consumable items. In fact, each kit contains enough non-consumables to support a class of 36 students working in small groups, and enough consumables to support 72 student uses.

In addition to these provided items, there are some teacher-provided items required in each unit. For a consolidated list of teacher-provided items per unit, download the appropriate PDF below.

Device calendars

Our at-a-glance device calendars make device management and sharing between grade-level colleagues a breeze. With one calendar per unit (beginning in grade 2), you can easily see which lessons utilize devices.

Approach to assessment

The Amplify Science California assessment system is grounded in the principle that students benefit from regular and varied opportunities to demonstrate understanding through performance. In practice this means that conceptual understanding is revealed through engagement in the science and engineering practices.

Assessment types at a glance

In your classroom, you’ll be utilizing a variety of formative (F) and summative (S) assessments:

  • End-of-Unit Assessment (S): Assessments toward the end of each unit feature a combination of targeted discussions, student-generated models, and written explanations to gauge students’ knowledge and growth.
  • Pre-Unit Assessments (F): Discussion, modeling, and written explanations to gauge students’ knowledge.
  • On-the-Fly Assessments (OtFA) (F): Multi-dimensional tasks integrated regularly throughout the lessons. OtFA opportunities were designed to help teachers make sense of student activity during a learning experience (e.g., student-to-student talk, writing, and model construction) and to provide evidence of how a student is coming to understand core concepts and developing dexterity with SEPs and CCCs. Three-dimensional assessment opportunities make measuring progress toward NGSS learning goals possible.
  • Self-assessments (F): One per chapter; brief opportunities for students to reflect on their own learning, ask questions, and reveal ongoing wonderings about unit content.
  • Critical Juncture Assessments (F): Variety of multidimensional performance tasks intended to assess student progress, occurring at the end of each chapter. Examples include writing scientific explanations, engaging in argumentation, developing and using models, and designing engineering solutions. Based on student performance on the assessment, teachers have access to recommendations for targeted student interventions, suggested follow-ups, or differentiating classroom instruction.
  • End-of-Unit Assessment (S): Assessments toward the end of each unit feature a combination of targeted discussions, student-generated models, and written explanations to gauge students’ knowledge and growth.

Pre-Unit Assessments

Most Pre-Unit assessments are embedded within an activity of the first lesson of a unit. In kindergarten and grade 1, the Pre-Unit assessment (as well as the End-of-Unit assessment) is oral. In grades 2–5 they are typically written. Refer to the Digital Resources area of the Lesson Brief for materials needed for the assessment activity, such as the Clipboard Assessment Tool (K–1 only), copymasters (grades 2–5 only), and an Assessment Guide that will help you interpret and leverage students’ responses.

If you and your students have Interactive Classroom licenses, students can complete their assessment digitally instead of using the copymaster.

When students complete the assessment pages digitally, you’ll be able to review their work on the View Work page.

Critical Juncture Assessments

Critical Juncture assessments typically occur towards the end of each chapter. The Materials and Preparation section will indicate when there is a Critical Juncture to prepare for, but you can also tell when an activity is designed to be a Critical Juncture assessment by the hummingbird icon that will appear within it. Selecting the hummingbird icon will tell you how to assess students’ understanding with the activity, and how to tailor instruction based on what you find. If you need guidance on the “answers” to the assessment activity, refer to the “Possible Responses” tab.

If you are using Classroom Slides or Interactive Classroom, you’ll see a hummingbird or “Critical Juncture” label in the bottom right corner of one of the slides of the activity.

The notes about assessing understanding and tailoring instruction are located in the notes of that slide (on the right-hand side of the Teacher’s Guide tab in the Interactive Classroom experience; underneath the slide in Classroom Slides).

End-of-Unit Assessments

End-of-Unit assessments are typically the last lesson of a unit. In some units, these are two-part assessments that take place over two lessons. The easiest way to find the End-of-Unit assessment is to skim through the lesson titles. Lessons containing End-of-Unit assessments will always have that noted in the title.

Like the Pre-unit assessment, you can find materials for the End-of-unit assessments in the Digital Resources area of the Lesson Brief.

On-the-Fly Assessments

These embedded assessments leverage the formative opportunities in the learning experience students are already engaged in, such as creating models, analyzing data, actively reading, conducting investigations, and more. Refer to the Critical Juncture section above for guidance on finding information about using them.

Unit-level assessment information

You can find overall information about an individual unit’s assessments in the “Assessment System” resource, which is located within the Teacher References section on the Unit Overview page.

The Assessment System resource contains a comprehensive list of all of the assessment opportunities in the unit, including the assessment’s location, a brief indication of what students are doing in that particular activity, what type of assessment it is, which Disciplinary Core Ideas, science and engineering practices, and cross-cutting concepts it specifically addresses, and the kind of evaluation guidance you can expect for it. If you are in a kindergarten or first grade unit, you will also find information on the Clipboard Assessment Tool (used for supporting oral assessment) in this section.

If you’re interested in focusing on information related to the unit’s Critical Juncture and On-the-Fly assessments in particular, check out the “Embedded Formative Assessments” resource, also located within the Teacher References section on the Unit Overview page.

Three-dimensional assessment connections

All assessment opportunities within Amplify Science California include clear labeling around the Disciplinary Core Ideas (DCIs), Crosscutting Concepts (CCCs), and Science and Engineering Practices (SEPs) to help teachers connect formative and summative assessments to specific NGSS dimensions.

Coming soon

Unlike other publishers, we don’t make you wait until your next adoption to get the latest and greatest from Amplify. We’re always launching new and exciting features. In fact, on this page is a list of new features you can look forward to using during the 2023-2024 school year.

FAQs

Program questions

Amplify Science California is a flexible, blended K–8 science curriculum that addresses 100 percent of the Next Generation Science Standards for California and a significant number of the California English Language Development Standards and Common Core State Standards for English Language Arts, Literacy in Science and Technical Subjects, and Math. Together, the units deliver three-dimensional instruction across the following disciplines: Life Science, Earth and Space Science, Physical Science, and Engineering Design.

Amplify Science California does indeed feature some powerful and engaging digital components, which are gradually introduced beginning at grade 2. However, as a fully blended and flexible program, Amplify Science California can be (and has been) implemented in a wide variety of scenarios.

All lessons were designed with device sharing in mind, and never assume that every student has a separate device. While 1:1 scenarios are great, they aren’t required. When devices are necessary for students to fully experience a concept, teachers can opt to share devices across pairs or small groups, or simply display the Sim or Modeling Tool to the whole class and allow students to “drive” using your device.

Rather than introducing a concept on Monday, testing for mastery on Friday, and knowing students will forget everything by the next Tuesday, we set out to help students build meaningful and lasting knowledge that they can retain and transfer over the course of the entire unit. We accomplish this by giving students multiple opportunities (a.k.a. “at-bats”) to encounter, explore, and experience a concept. Said another way, Amplify Science California is actually made up of a series of multi-modal “mini-lessons.” This intentional, cyclical, and iterative design mirrors the 5Es, allows teachers the flexibility to speed up or skip ahead once students have demonstrated mastery, and empowers students to learn concepts more deeply than any other program.

Yes. Rather than separating performance expectations into physical science units, earth and space science units, and life science units, Amplify Science California units are organized around anchoring phenomena designed to give students opportunities to dive deeply into certain Disciplinary Core Ideas (DCIs) while also drawing from or applying to others. In organizing the Amplify Science California middle school units, we’ve carefully sequenced these ideas within each grade level to support the development of deep and coherent understanding.

Many real-world phenomena cross the domain boundaries of life, physical, or earth and space science (as well as engineering). Each Amplify Science California unit begins with an intriguing real-world phenomenon that poses a problem that needs to be understood and/or solved. By the end of the unit, students will have analyzed the anchor phenomenon across multiple scientific domains, possibly designed and tested an engineering solution, and applied what they’ve learned in a different context.

For example:
In the Light Waves unit, students investigate the anchoring phenomenon of why Australia has a much higher skin cancer rate than countries at similar latitudes like Brazil. The focus of this unit is on Disciplinary Core Ideas related to wave properties (PS4.A) and electromagnetic radiation (PS4.B). Students explore these physical science ideas deeply within the unit, and also draw on ideas from earth science (e.g., latitudinal variation of the sun’s energy) and life science (e.g., the effect of energy on the DNA in the nucleus of a cell) in order to explain the central phenomenon.

Absolutely. Hands-on learning is at the heart of Amplify Science California. Integrated into every unit are opportunities for students to take on the role of scientists and engineers as they gather evidence, think critically, solve problems, and develop and defend their claims.

In addition, our unique combination of focus and flex activities means teachers have more options, opportunities, and materials to make learning active. Each hands-on activity provides clear instructions for the teacher, with more complex activities supported by video demonstrations and illustrations.

What’s important to remember is that more hands-on doesn’t necessarily mean better, at least according to the California NGSS. That’s because only two of the eight Science and Engineering Practices (SEPs) are directly related to hands-on learning.

Just as scientists gather evidence from many types of sources, students in the Amplify Science California program gather evidence not just by making physical models, but also by making and interpreting digital models; reading texts; watching videos; and analyzing photographs, maps, and data sets. By doing do, students are provided with more opportunities than any other program to use all of the practices called out in the California NGSS Framework:

  • Asking questions
  • Developing and using models
  • Planning and carrying out investigations
  • Analyzing and interpreting data
  • Using mathematics and computational thinking
  • Constructing explanations
  • Engaging in arguments from evidence
  • Obtaining, evaluating, and communicating information

While all of our units engage students in gathering evidence from a rich collection of sources, the reliance on different types of evidence (and evidence sources) varies according to unit. For instance, some units lend themselves to meaningful hands-on experiences, while in other units the phenomena students are investigating are too slow, too dangerous, or too big to be observed directly. In those units, students rely more heavily on other evidence sources such a physical models or simulations.

Unit types in grades K–5

In each K–5 grade, there is one unit that emphasizes investigation, one that emphasizes modeling, and one that emphasizes design. In addition, in grades 3–5, there is also one unit that emphasizes argumentation.

Unit types in grades 6–8

Each 6–8 grade features three types of units: LaunchCore, and Engineering Internships. Each year has one Launch unit, six Core units, and two Engineering Internships.

For teachers who want to supplement the lessons with even more hands-on activities, optional “flextension” activities are included in many units.

Yes indeed. Amplify Science California integrates all four STEM disciplines—science, technology, engineering, and math, in addition to English Language Arts—throughout the curriculum. In addition, each grade level features specific units that emphasize engineering design.

Yes, the program includes multiple opportunities for summative assessments.

End-of-unit assessments: At grades K–1 these look like targeted conversations, at grades 2–5 we incorporate written responses, and at grades 6–8 we assess through a combination of auto-scored multiple-choice questions and rubric-scored written responses. These summative assessments for each unit are designed to provide valid, reliable, and fair measures of students’ progress and attainment of three-dimensional learning.

Benchmark assessments: Delivered four times per year in grades 3–5 and three times per year in grades 6–8, benchmark assessments report on students’ facilities with each of the grade appropriate DCIs, SEPs, CCCs, and performance expectations of the California NGSS.

Science Seminars and final written arguments (formative and summative components): In grades 6–8, culminating performance tasks for each core unit invite students to figure out a new real-world problem. They collect and analyze evidence, examine a number of claims, and then engage in a full-class discussion where they must state which claims are best supported by the evidence, all while making clear their reasoning that connects the evidence to the claims. After the seminar, students then individually write their final scientific argument, drawing on the DCIs, SEPs, and CCCs they have used over the course of the unit to develop a sophisticated and convincing argument that addresses the problem they’ve been investigating. Rubrics, scoring guides, and examples of student responses at each scoring level are provided to teachers to support the assessment of students’ understanding of concepts and specific practices.

Amplify Science California provides more than enough instructional content to fill 180 days of instruction. However, unlike other programs that expect you to complete 180 discrete lessons, Amplify Science California includes built-in wiggle room.

For example, the typical elementary classroom delivers science instruction only two times per week. Rather than asking teachers to wade through unnecessary content, we designed our program to address 100 percent of the California NGSS in just 66 days at grades K–2 and 88 days at grades 3–5. When it comes to middle school, we address 100 percent of the California NGSS in 146 lessons.

Some classes might last longer than one session due to a number of reasons (e.g., enthusiastic student conversations, challenging topics requiring deeper dives, more time needed to accommodate diverse learners, etc.). Also, teachers might want to supplement Amplify Science California with some of their own favorite lessons. Lastly, we’ve accounted for the inevitable assembly days, class trips, testing schedules, etc. For teachers that want to go deeper or expand upon a unit topic, we also offer a number of additional lessons that are not core to each unit.

Amplify Science California lessons are designed to be completed in the following time frames:
Lessons in grades K–1 are designed for 45 minutes of science instruction.
Lessons in grades 2–5 are designed for 60 minutes of science instruction.

That said, it’s not a problem if you can’t allocate 45 minutes of science instruction every day at K–1, or 60 minutes per day at 2–5. Since there are a total of 66 lessons to address 100 percent of California NGSS at grades K–2, and 88 lessons to address 100 percent of California NGSS at grades 3–5, you can easily teach the lessons in smaller blocks and cover all of the content over the course of the school year.

Each lesson of every Amplify Science California unit includes point-of-use differentiation strategies and embedded teacher and student supports for diverse learners, including English learners, students who need more support, and students who are ready for more challenge. These strategies and methods ensure that all students have access to the same content as their peers.

Two notable categories of suggested modifications are:

  • English-learner-specific strategies such as English/Spanish glossaries, native language supports, and provision of cognates and other content-specific language scaffolds are provided in each unit.
  • Relatively small alterations and additional scaffolds that provide students with greater access to the content.
    These types of scaffolds benefit all learners and include suggestions such as providing graphic organizers, practice with multiple-meaning words, etc.

With Amplify Science California, the use of technology is always purposeful.

For example:

  • The curriculum has a strong emphasis on literacy, with students reading and analyzing informational texts, and writing scientific explanations and arguments.
  • Digital elements are gradually introduced to students in grades 2–3, with the greatest use of digital elements taking place in grades 4–5, as the phenomena at these grades become more challenging to observe directly.
  • The curriculum’s readers and interactive notebook pages are available in both print and digital across all K–5 units.

This curriculum addresses a significant number of the standards as they pertain to science. Throughout each unit, students read science texts, engage in science talk and argumentation, and write evidence-based science explanations. The curriculum supports vocabulary, language, and reading comprehension development. Students also use measurement tools with precision, record and analyze data, make sense of scientific phenomena, and develop solutions to problems experienced in the real world.

Digital questions

Teacher Support notes including sample teacher talk, student responses, pedagogical support, and possible student responses are provided within your student-facing slides. Simply click “Teach” and reference your private Teacher Guide tab. Students will only see the lesson slides that you are presenting.

You, the teacher, must “Start class” to launch the presentation tab. (Remember, without the presentation tab, students would be able to see your teacher notes.)

Clicking “Starting class” also brings students to the correct slide, which is particularly important for young students who are learning to navigate.

Teachers can either press the “End class” button in the bottom right corner of the slide navigation, or they can simply close the presentation tab.

Clicking “End class” also enables students to navigate through the lesson on their own. That means they’ll be able to return to slides and books to review content, to the Sims and Modeling Tools to replay them, or to notebook pages to update their work.

You can click on the “Student preview” option in the bottom right corner (within the menu that opens when you click the three dots) to open a new browser tab where you can preview the student view using your teacher account.

Any work you complete in this student preview (or elsewhere in the teacher experience) will be automatically saved to your account.

Looking for help?

For login or technology issues, please submit an EGUSD Heat ticket. For curriculum and pedagogical questions, please refer to the support resources below.

Powerful (and free!) pedagogical support

Amplify provides a unique kind of support you won’t find from other publishers. We’ve developed an educational support team of former teachers and administrators who provide pedagogical support for every Amplify curriculum, assessment, and intervention program. This service is completely free for all educators who are using our programs and includes:

  • Guidance for developing lesson plans and intervention plans.
  • Information on where to locate standards and other planning materials.
  • Recommendations and tips for day-to-day teaching with Amplify programs.
  • Support with administering and interpreting assessment data and more.

To reach our pedagogical team, use our live chat within your program, call (800) 823-1969, or email edsupport@amplify.com

Timely technical and program support

Our technical and program support is included and available from 4 a.m. to 4 p.m. PT, Monday through Friday, through a variety of channels, including a live chat program that enables teachers to get immediate help in the middle of the school day.

For your most urgent questions:

  • Use our live chat within your program.
  • Call our toll-free number: (800) 823-1969.

For less urgent questions:

Connect with other teachers

Our Amplify Science Facebook group is a community of Amplify Science educators from across the country. It’s a space to share best practices, ideas, and support on everything from implementation to instruction. Join today.

Join our Amplify learning community!

Looking to connect with fellow educators, share insights, and help shape the future of Amplify programs?

Our Facebook groups encourage educators to collaborate, ask questions, and exchange experiences. Join one of these groups for valuable teacher-to-teacher conversations!

You can also follow Amplify on FacebookXLinkedIn, and Instagram.

Two women stand in a classroom, smiling as they look at a laptop together—sharing teaching tips and supporting each other in the education community.
Screenshot of a Facebook group page titled "Science of Reading: The Community," where innovative educators and children are engaged at a table, highlighting group information and the spirit of a vibrant learning community.

Science of Reading: The Community

Join a vibrant community of educators passionate about early literacy! In Science of Reading: The Community, you’ll find discussions on the latest research, best practices, and classroom strategies for implementing the Science of Reading. Want even more expert insights? Subscribe to Science of Reading: The Podcast for conversations with top researchers and practitioners.

Amplify Classroom Educators Facebook group

Join a dynamic community of educators who are passionate about leveraging Amplify Classroom’s interactive tools and activities. In this group, members exchange ideas, share activities, discuss best practices, and explore innovative ways to deepen student understanding. Whether you’re looking for inspiration or collaboration, you’ll find it here!

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Screenshot of a Facebook group page titled "Amplify Desmos Math," highlighting its cover image, name, and a visible "Join group" button—perfect for teacher to teacher sharing in an active education community.

Amplify Desmos Math Facebook group

This group is the go-to space for teachers, coaches, and educators using Amplify Desmos Math, mCLASS Math, and Boost Math. Connect with peers, ask questions, get answers, provide feedback, and stay informed on important updates.

Amplify CKLA Facebook group

Looking to enhance your reading instruction? Our Amplify CKLA Facebook group is a space where educators discuss strategies for teaching reading, writing, speaking, listening, and vocabulary. Ask questions, share insights, and connect with colleagues who are using Amplify CKLA to support literacy success.

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Screenshot of the Amplify ELA Facebook group page for grades 6–8, highlighting the group name, member count, and a colorful banner—an active learning community where educators share teaching tips and support one another.

Amplify ELA Facebook group

Teaching middle school ELA comes with unique challenges and opportunities—let’s navigate them together! In the Amplify ELA Facebook group, educators swap teaching ideas, classroom successes, and concrete strategies for using Amplify ELA effectively. Join the group to gain insights from fellow teachers and share what’s working in your classroom!

Boost Reading & mCLASS Facebook group

This group is a collaborative space for educators and caregivers using Boost Reading and mCLASS®. Whether you have questions, need support, or want to share success stories, this is the place to connect. Join us to exchange ideas, get helpful tips, and learn how to create the best reading experience for your students.

Screenshot of a Facebook group page titled "Boost Reading & mCLASS," featuring a colorful illustrated bird with "aw" and "er" sound cards. Innovative educators can join this vibrant learning community for valuable teaching tips.
Screenshot of a Facebook group page titled "Amplify Science," featuring a cover photo of two children conducting a science experiment in class—a hub for sharing teaching tips and building an education community.

Amplify Science Facebook group

Engage with fellow science educators in the Amplify Science Facebook group! Discuss best practices for implementing Amplify Science, explore ideas on how to teach in three dimensions, and share strategies for meeting NGSS standards. Educators also post classroom success stories, providing inspiration and real-world applications of the curriculum.

If you’re an Amplify Science instructional leader, the Lawerence Hall of Science encourages you to learn more and apply to join the exclusive, no-cost Instructional Leaders Community of Practice (ILCP).

Connect with us—and educators everywhere.

Our social media channels deliver a steady stream of news, insights, and conversations that support educators in connecting with each other and creating great learning experiences for students. Find Amplify on Facebook, X, LinkedIn, and Instagram!

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Strengthening critical thinking with a content-first approach: How Amplify CKLA is closing gaps in an elementary classroom

In my first-grade classroom, we’ve been studying early world civilizations. My students and I have pretended to hop in our time machines and travel back—first to ancient Mesopotamia, then to ancient Egypt. We’ve written our names on clay tablets in cuneiform and learned what it means for a religion to be polytheistic. We’ve compared and contrasted early farming systems and places of worship. As I prepared to read aloud another lesson a few days ago, I mentioned to the class that it was the eleventh lesson in the unit of study, prompting widened eyes and a chorus of “Already!?

I teach eighteen six- and seven-year olds in a Title I school, where half of the students are low-income, 75% are non-white, and over half are multilingual/English learners or speak another language at home. In my job, I’m honored to empower students who schools and society have not always served well. I became a teacher to help end that inequity—to close the knowledge gap and ensure that low-income, non-white, and immigrant children receive the tools they need to build a bright future. A growing body of research tells us that a strong base of content knowledge is essential for student growth and success in literacy. We also know that students who come from low-income backgrounds are less likely to come to school possessing the academic background knowledge of their peers, presumably because they have more limited opportunities to come across this type of knowledge at home. For this reason, I’m grateful that around a year and a half ago, my district adopted the knowledge-based literacy curriculum CKLA.

Scenes from a knowledge-based curriculum

What does knowledge-based learning look like in practice? Here’s one powerful example of how a knowledge-forward lesson helped my students succeed in practicing an important literacy skill. We were reading about Howard Carter, the British archaeologist who wanted to locate Tutenkhaman’s tomb. The lesson lends itself well to one of our state’s curriculum standards for the quarter: to make and confirm predictions about nonfiction text. Part one of the Read-Aloud ends on a cliffhanger: After a years-long search with no success, encountering dead ends and tomb robbers, Carter uncovers a hidden door marked with a royal seal.

“A prediction,” I explained, “is a careful guess about what you think might happen, based on the clues you already know. Think about what you know from the story, and predict what Carter might find behind the door.” We quickly reviewed some of the main points as I scribed on chart paper: Carter had been searching for Tutenkhaman’s tomb for six years, pharaohs were often buried with treasure or gold, the door they found was in the last possible place to look in the Valley of the Kings. I handed out papers I’d prepared with sentence frames for students to record or dictate their ideas. We hadn’t yet spent much time this year explicitly practicing prediction-making—in fact, I wondered how many of my students even knew what the word prediction meant—but I could see the wheels already turning behind most of my students’ eyes as they wiggled with excitement, envisioning gold, ghosts, King Tut’s tomb, or a pile of bones.

“Maybe nothing,” one student—a six-year-old who speaks primarily Spanish at home—told me with a shrug as I helped him write down his ideas. “Maybe the tomb robbers took it all.”

How to improve critical thinking—with knowledge

Even though my students might or might not have been familiar with the literacy skill of making and confirming predictions, the rich and meaty Read-Aloud set them up for success. It was rife with topics of interest to many a six- or seven-year-old—exploration, tomb robbers, golden treasure, mummies—which kept them engaged. And it included plenty of details through which they could actually draw a meaningful inference about what Carter might have found. I had to explain only once that a prediction should be based on information you already have—not a random guess—and every one of my eighteen students successfully generated a plausible idea.

This is the magic of a knowledge-based curriculum. It levels gaps in learning by generating a rich, shared base of content knowledge that supports the development of key literacy skills. My students were successful in plausibly guessing what might happen next in the story because they had a strong grasp of the information about Howard Carter. I might have chosen to teach an entire mini-lesson on prediction-making first and then asked my students to apply the skill to a less thoughtfully selected text, or to an independently selected book on their own, but if they weren’t already familiar with the topics it covered, my guess is that they would have been far less successful.

The curriculum standards for literacy in both the Common Core and Virginia (my school’s state) emphasize critical thinking skills and specific comprehension strategies, such as inferencing, over content knowledge. This is understandable: Students must learn to make meaning of a text in front of them, not just read the words on the page. But as Natalie Wexler puts it, “The ability to think critically…is inextricably linked to how much knowledge you have about the situation at hand” (The Knowledge Gap, 39). How could my students make a prediction about a future event in a text if they didn’t understand the textual clues they were given in the first place? Especially given that students from low-income homes are likely to possess less background knowledge about the curriculum they will encounter in school, a focus on teaching skills in isolation can contribute to a far-from-level playing field.

Teaching “comprehension skills” first and then expecting students to apply them is common practice in the method of literacy instruction frequently referred to as balanced literacy. Though the conversation about literacy is, thankfully, moving toward a research-backed approach focused on the Science of Reading, we still have a long way to go. While student teaching during my education master’s program less than three years ago, I was encouraged to teach mini-lessons on topics such as “finding the main idea” and “using topic headings to understand,” which students would then practice with independently selected texts. This approach is not supported by research as a best practice—and it assumes a shared base of cultural knowledge. In that way, it entrenches inequality by privileging students who may already possess more background knowledge, allowing our most vulnerable learners to fall even further behind.

By contrast, a knowledge-based curriculum creates that base together, giving all students a better chance at success. My own experience confirms the research. CKLA empowers my students to take ownership of their learning, expand their vocabularies, make connections, and passionately engage. I’m grateful to use an evidence-based curriculum designed to ensure that every student—including those too often left behind by our schools and other institutions—can learn to read.

More to explore

S3 – 05. Developing an asset orientation with Lani Horn

Math Teacher Lounge podcast featuring Lani Horn, a professor at Vanderbilt University, on developing an asset orientation.

In this episode, math education professor Lani Horn shares with us what it means to have an asset orientation towards students, contrasting it with a deficit orientation, and helping Bethany and Dan understand the many ways students experience one or the other. Their conversation hit both high notes and low notes and included a challenge that Bethany and Dan both found extremely valuable for helping a teacher develop an asset orientation towards their students.

Explore more from Math Teacher Lounge by visiting our main page

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Dan Meyer (00:03)

Welcome back to Math Teacher Lounge, folks. My name is Dan Meyer.

Bethany Lockhart Johnson (00:07):

And I’m Bethany Lockhart Johnson.

Dan Meyer (00:09):

We’re so excited to be here with you folks and with our guest today, tackling big questions about mathematics. I wanna ask Bethany first though: Bethany, it’s been kind of a challenging couple of years for those of us in education, near education, just in life in general, of course. But I woke up this morning and the sun was out; the weather was perfect and crisp here in Oakland; and I found myself feeling optimistic, a sense of hopefulness. And I was wondering to myself, “What is Bethany feeling hopeful about in math education right now?” What’s got you juiced up a little bit?

Bethany Lockhart Johnson (00:40):

I gotta say, that optimism, Dan, look at that! I can actually feel the sunshine just pouring through the microphone! So I thank you for asking. What am I feeling optimistic about in math education? Hmm. OK, this is gonna sound a little bit cop-out-y, but I have been so completely jazzed about not only our podcast, but the conversations that I’ve been seeing circulating in other math podcasts that are out there around curriculum, around new books coming out. It just feels like despite overwhelm, despite exhaustion, that most teachers really do love learning. And so there’s like that kernel. And so I just feel like there’s books on my shelf I wanna read; there’s podcasts in the queue I wanna listen to; and summertime is the best, best time to do it.

Dan Meyer (01:39):

People still feel hungry out there for learning. They know the importance of the craft and its impact on students. And, yeah, people are tired, but also it is so cool to see people still jazzed about learning more about how to teach students more effectively. Me, I’m excited right now, I have a very specific excitement right now, which is that today we announced that Desmos, where I work, and Amplify, our sponsor, are no longer gonna be two separate things. That we are joining together. That I, and all these people who have done so much work over the last 10 years developing digital math technology, we’re gonna go and work inside of Amplify as a division called Desmos Classroom. And we’re so excited that…what we cracked, I think, at Desmos, is a way of thinking about how teachers and their tools—computers, for instance—interact with students in math. And I love what we did there. But we never really cracked the question of, “How do you support entire school systems in taking up these ideas and tools?” And Amplify has really done that. So I’m super-excited to partner up there. That’s what I’m optimistic about and happy about.

Bethany Lockhart Johnson (02:40):

Congratulations! That’s a huge transition, and I’m just so excited about the amazing work that both Amplify and Desmos do. But then, the idea of Desmos being in more classrooms? Those tools being available for more students? With the reach? I mean, I’m just excited! It’s a big day, Dan.

Dan Meyer (03:00):

Thank you. Yes, exciting day. And I’m excited about also about our guest we’re bringing on today. How’s that for a segue? I’ll be excited to hear what our guest is excited about in math education. I just wanna say that what our guest, Lani Horn, Professor Lani Horn, has exposed us to is this idea of an asset orientation and its importance. And I do think I’m not over-exaggerating or overstating to say that the idea of an asset orientation towards students and their thinking has been possibly the most transformative idea for me in the last five years of being an educator. And adopting it has led to my favorite lessons, my favorite teaching experiences, my favorite relationships with students. I say all that—you know, I don’t wanna gas things up too much; is that too high of a bar here to have expectations? But it really has been tremendous! And Lani Horn gave a talk several years ago called “An Asset Orientation Is Everything,” which really changed the game up for me. And Bethany watched it as well. So that’s why I’m so excited to have on the person who gave that talk. And who’s done so much research around what an asset orientation offers students and teachers. So we’re bringing on today Lani Horn, who is a professor of mathematics education at Vanderbilt University, Peabody College, who centers her research on ways to make authentic mathematics, ambitious math teaching, accessible to students and teachers, particularly those who have been historically marginalized by our educational system. I think Lani has just a beating heart for students, yes, but also really respects the work of teaching in ways I think are so needed and sometimes uncommon in the world of math-education research. So Lani, thank you so much for coming on and joining us in the Lounge.

Lani Horn (04:41):

Thanks for having me.

Dan Meyer (04:44):

We would love to know what you are excited about and optimistic about right now in the world of mathematics education. What’s got you a little bit gassed up?

Lani Horn (04:52):

Up, gassed up? Hmm. Let me reframe it, ’cause I don’t know if I’m gassed up, but I’m cautiously hopeful that maybe that in the wake of the interrupted learning that’s been sort of widespread during the pandemic that maybe we’ll get some traction around more strategies for teaching in heterogeneous classrooms. Which I think every classroom is, to varying extents: a heterogeneous classroom. And I was talking with a colleague the other day about this idea of hmm, maybe modeling would be a really cool thing to focus teachers on. Doing some more mathematical modeling across the grade levels. Because it just seems like there’s a lot of opportunities for kids to kind of catch up on ideas and understandings that they may not have fully grasped because of interrupted learning, interrupted schooling. But also with room to engage in a lot of ideas. So we were playing with that and I was like, “Gosh, that’d be pretty cool if people took that on more broadly.” ‘Cause I don’t think that there’s been enough conversations about meaningful differentiation in that kind of way, like at the level of curriculum. So I would love to see an upsurge in interest in that kind of stuff, ’cause that’s a big place where I have a lot of passion, so I’m ready! I’m ready for people to ask questions about that. And actually it’s really very, very, very closely related to the topic today of having an asset orientation towards students.

Bethany Lockhart Johnson (06:34):

First of all, I’m so excited to have you on Math Teacher Lounge, have you in the Lounge, and get to talk to you, because when Dan sent me this talk, my first thing was, “Oh, I think I know what asset orientation is and looks like.” You know, you kind of hypothesize about what you think it’s going to be. And then you started talking and I’m like, “Wait, wait, why am I just hearing this now?” So I thought I knew what it was, but really I felt like there was so much to unpack. And I would just love for you to share with our listeners, in case they are like, “Oh, asset orientation, I know what that is. I’ve got it. My students have got it.” What is it? And why does it matter so much to our teachers?

Lani Horn (07:19):

The most obvious point is that asset is the opposite of deficit, right? And we know that deficit thinking is very harmful to students. That there’s a real teacher-expectation bias that that kids pick up on, that we communicate indirectly to students and that impacts their learning and their ability to meet our academic expectations and, other expectations in classrooms. So an asset orientation is looking for students’ strengths and trying to work from those strengths as a basis for your teaching.

Dan Meyer (07:54):

So that’s a really fantastic starting spot there. And I think what’s initially surprising to me about the research you cited in your talk, that is built around an asset orientation, is how…I think if you come at learning from a—I guess in research, they call a cognitivist frame, where learning happens when teachers say the right things that make a transfer from the teacher’s brain to the student’s brain. A lot of what you’re describing is very counterintuitive, I think. The asset orientation describes a teacher’s kind of subtle disposition. It’s not what, like what they’re saying exactly. It’s what they communicate in the subtext and the body language, that all emanates from some perspective on students and the idea that that filters down somehow and students pick up on that—like a smell in the air—and that determines a lot of their learning, I think is one part of your talk and the research that I thought was really surprising. How close is that to like how this actually works? And can you add to that description or pivot it a little bit?

Lani Horn (08:54):

Expansion of the sort of cognitive framing of teacher and student interaction…part of what’s really hard about developing and maintaining an asset orientation is that schools are organized in ways that rank and sort children. And so when we are just using the everyday language of schooling, sometimes we’re injecting these preconceived deficit notions of students into our talk and into how we’re thinking about, interpreting, looking at students. So not only is this interruption a sort of a cognitive lens on teacher-student interaction, but it’s really looking at how the social environment is setting teacher-student interaction to take on certain kinds of framings.

Dan Meyer (09:44):

This is what I mean about Lani having such a generous frame towards teachers and the work of teaching. I wonder, though, if you could help us make concrete how an asset and deficit orientation might play out in a hypothetical classroom interaction.

Lani Horn (10:00):

Sure. A really commonplace example is a teacher has a group of students. It’s October or November. So there’s already been a few assessments. And that gives the teacher an idea who the strong students are and who the struggling students are. And they’re having a classroom conversation. And someone who hasn’t performed well, a kid who hasn’t performed well on those assessments—the teacher poses a question. A kid who hasn’t performed well on the assessments is called on. And they sort of hesitate in formulating their response. And the teacher with that lens of “this is a struggling student” then may have to make a decision: “Do I persist? Do I support this kid? Do I help them formulate an answer? Do I try to draw out their thinking anyway? Or do I move on to a kid who is academically performed better in my class?” And I would say that a lot of teachers in that situation would very understandably say, “OK, I get it. You’re not a strong math student. You’re not confident in my class. I’m gonna move on because I need to get through this lesson to somebody who I know is gonna provide me with a correct answer.” And they do it also out of, sometimes, a sense of care, of not wanting to put that student on the spot. However, part of what is another unintended result of making that choice is instead of trying out that student’s thinking, listen to their sort of, maybe, hesitant answer, and trying to find the kernel in it that maybe could be supported and amplified, that kid then loses an opportunity to have their idea be a part of the whole class’s mathematical conversation. Completely common, completely understandable kind of interaction that I see all the time.

Bethany Lockhart Johnson (11:52):

That feels so huge. And that I can actually picture that happening.

Lani Horn (11:56):

Of course. We’ve all seen it. We’ve all done it.

Bethany Lockhart Johnson (11:58):

We’ve all seen it and done it. And I think it’s so key that you mention often it’s from a place of care. Of “I want that student to—look, I called on you; you’re a part of the conversation; you’re a part of our community.” But with it, I brought all of that other information that I think I have about that kiddo. Right? And how I think they’re struggling or navigating the question. And “Here, I’ll help by…” You know? But what I immediately thought of is how much the other students also pick up on that, right?

Lani Horn (12:36):

Of course.

Bethany Lockhart Johnson (12:36):

I remember this time, this student in my class, a student who had struggled on some of the work we were doing, she came up and she shared her work. And then another student kind of like, it was almost like a strange little pat on the back, like, “Look at that! You did it!” And like really said it in a tone of…like, you’re 5, where did that come from?? How had I set up that student to be—I really had to step back and say, “What role have I played in making this student seem like she wasn’t capable of what she had just solved?” It was such a learning moment for me. Because I don’t think teachers do it maliciously, you know, or even consciously.

Lani Horn (13:33):

Absolutely.

Bethany Lockhart Johnson (13:34):

And it was so huge.

Lani Horn (13:36):

Thanks for sharing that, Bethany, wow.

Dan Meyer (13:38):

Even in your description, Lani, you mentioned how the need to keep the class moving to fit, again, a policy that teachers didn’t impose, that we have 45 minutes and way too many standards to cover in that many days…I wanna ask you about growth mindset. It feels like every last teacher on earth has finally got the memo about growth mindset. We all know it’s the good mindset and that the bad one is fixed mindset. And we have the posters. The posters have been distributed. <laugh> A nationwide mobilization.

Bethany Lockhart Johnson (14:07):

I automatically pictured the posters.

Lani Horn (14:09):

<laugh> Of course.

Dan Meyer (14:11):

We’ve got the posters up, people! So we’re good! And now here comes asset orientation, which has some of the similar kinds of happy feelings, good vibes, about teaching and students and learning. So I was just wondering if you could help us kind of differentiate those two kinds of concepts.

Lani Horn (14:28):

I think that an asset orientation is something you’re never done cultivating. I think it’s an ongoing stance that you have to constantly reset and reexamine. And it is recognizing the links to the social categories that students inhabit, the identities that they bring with them, the bodies that they live in, the different abilities and disabilities. And it’s actually a place where, when you really engage this work in a meaningful way, I think it has the potential to make you kind of a better human being. Because you have to constantly say, “Gosh, why did I do that? What is it that my expectation was? Why am I having such a hard time with this particular student, finding something that they’re smart at, something that they’re really good at?” ‘Cause that’s the question. That’s the asset orientation question. You look at your students and you say, “What is it that they are smart about? How are they smart? I understand that school values this; I understand that my assessments value this; but what are they smart at? And how could I bring that into the meaningful work of my classroom?” Which is a very hard question sometimes.

Dan Meyer (16:03):

Yeah. Oh, so many thoughts here. Like one, I just feel like it’s such a value for teachers, for anyone, to have a big, clear, unanswerable-in-your-lifetime question to motivate your work in teaching. If you don’t have that, then the job is too small, basically. So I love that it’s a question that offers ways to dig in every single day. Every interaction is an opportunity, and it will never be answered. That’s wonderful. I love how I just feel like there’s…sometimes we have conversations with Lounge guests, Bethany, where it really gets out of the realm of the school. And it starts to creep on in to the personal life. It starts to creep on in to the spiritual life. And I find, with this sort of idea—the value of a human being—I feel when I have an asset orientation towards my key relationship in my life—my best friends, my spouse, all these things—that that’s an indication to me of a really big and valuable idea. And the question of the difference between growth mindset and asset orientation, I wonder if it’s relevant here that a growth mindset is a concept that was studied and originated by an education psychologist, Carol Dweck, and you are someone who operates with a social-cultural frame that considers more than the student’s mind in the unit of a student, but like what is going on and what are Bethany’s students perceiving in that moment you described, Bethany, that was you and a student, but everyone kind of feels what’s going on. I wonder if that’s a useful differentiator here. Do you have any thoughts about that?

Lani Horn (17:30):

Yes. I do think that the anthropological perspective that I take—where I really look at the cultural sources of these perspectives and these expectations and narratives, I would say, about who can learn math—are really, really important. And they’re part of what sometimes becomes invisible in the classroom. Though those are a really, really important part of the ongoing work of developing an asset orientation. And of course, I come to it from my own personal experience. I was an undergraduate math major. And sometimes by the time I got to my senior seminars, I was the only woman in the room. And you know, I felt that. I felt the stigma of low expectations. I felt the missed opportunities to dig deeper because people were trying to protect me from being wrong and embarrassing myself. And so on. So it’s personal. And of course we see this applying to other social categories as well. We know that the bias is not just against women in math, but people of color, against people with different kinds of abilities, and so on. So I think that that’s why it’s sort of this ongoing personal work. And I think, too, that we will inevitably in the course of committing ourselves to this find students who challenge us, especially in our society right now, the way things are so fractured. You know, what if you have a student in your classroom who holds political views that you find really odious? How do you find a way to engage that student in a way that respects what they do have to offer to your class, while also making sure that the class is a safe place for everybody? I mean, those are really, really complex dynamics to manage. And, you know, I can talk a lot about that too.

Dan Meyer (19:30):

What a job; what a job. Yeah.

Bethany Lockhart Johnson (19:33):

I was really struck, too, because I feel, like Dan said, we’ve gotten the posters. And not to undermine the power of growth mindset—I think it has impacted many, many students and communities—but it sometimes stops there. The conversation stops there. Well, you know, we have a chant we do every day. We have the poster on the wall. My students have a growth mindset. And I think what I really appreciated in your talk, and as I’ve learned about your work, is the invitation to teachers to be vulnerable and to really look at… I do feel like even sharing that story, you put a certain amount of vulnerability of, like, have I failed in some way? But I care about my students. I’m committed to cultivating a safe space. So I guess something I’m really curious about is: what do you think needs to happen or needs to be possible for teachers to further cultivate an asset orientation? Because even the ability to pause and to be reflective, sometimes it doesn’t seem possible. So I think it’s beyond just the teacher, but in the school, the district…what are some things you feel?

Lani Horn (20:49):

Are you letting me be the queen of designing schools? ‘Cause that’s a job I’ve always wanted! <laugh> OK. So if I were the queen of designing schools, teachers would have fewer student contacts.

Bethany Lockhart Johnson (21:04):

Say more.

Lani Horn (21:05):

When I taught high school, I had sometimes…I think the most I got was 180 student contacts a day.

Bethany Lockhart Johnson (21:12):

Wow.

Lani Horn (21:13):

So when you’re looking at 180 kids a day, that is just sort of a capacity issue. How am I supposed to really look meaningfully at each of those individual people and find what’s valuable and strong and smart about each of them? I think that in the U.S., teachers have more instructional time than any other developed country. We need more planning time. Because that’s an opportunity to consult with colleagues. Sometimes when we encounter students where we do have that personal struggle of, “Oh, gosh, I am really having a hard time connecting with you and seeing your strengths,” wouldn’t it be great to be able to go to their last year’s teacher or their English teacher or some other teacher and say, “Can you tell me about your experiences with this student? Because I’m really wanting to connect and I’m having trouble.” And wouldn’t that be wonderful if we had resources to do that? The other thing I would do is I would get rid of a lot of the meaningless accountability, which I have found has only amplified sort of the sorting, and sort of put a technocratic veneer over kids’ deficit thinking about their own selves. Kids get a printout saying that they’re “below basic” and you say, “Hey, that was a really good idea!” And they don’t believe you ’cause they have this printout that puts them in a different category, so there’s no way they could be good at math. So I think we’ve really done a lot of harm in the annual testing of kids in that way. Especially with the individual reporting. And often the metrics we’re using to do that are not designed to be disaggregated to the individual level. So we have a lot of measurement problems. I’m kind of going back to your question before, Dan, about what’s the difference between growth mindset and an asset orientation. I think that sometimes—I don’t think this is the way Carol Dweck intended it, but I think sometimes—and I’ve seen her rebut the way it’s been used in schools—but I think sometimes the way that growth mindset has been used in schools kind of brings it back to an individual problem: “We don’t have unequal funding in our school system! We don’t have systemic racism! We don’t have childhood poverty and malnourishment! It’s just about having the right mindset!” And we know that all of those other things have a huge impact on who engages in school and who’s able to get access to schooling and the formal learning that goes on there. And so there’s a little bit of an erasure that happens in the way that growth mindset has been taken up, and putting the onus back on students and teachers as opposed to going, “Wow, we’re in this system where the cards are stacked a certain way, and I have to somehow navigate that as a teacher and figure out how to hold you up in a system that is trying to push you down.” Which is a really different kind of job than to put a poster on my wall and do a chant in the morning.

Bethany Lockhart Johnson (24:39):

And I’m wondering, if you were looking at how you would hope that asset orientation gets brought into the classroom…it’s not another poster, right? What do you think would really help make some meaningful change around the way we think about that and teachers and systems take that on?

Lani Horn (24:59):

So I think that the important thing is helping teachers develop a vocabulary for recognizing students’ mathematical strengths in particular. Recognizing a strength is not, “Wow, you did really neat work!” or “You have really nice handwriting!” Those are not authentically mathematical strengths, right? So I try to think about—ah, for color theorem, “How cool! What a great way to be systematic!” You know, that being systematic, developing a good representation, asking a good question, asking the next “what if,” all of these are profoundly mathematical ways of thinking. And there’s more—I’m just giving you a few examples—that are not always recognized in classrooms that are built around quick and accurate calculation. Right? When that is the most valued form of smartness, kids who can do all these other great things, like, “Wow, that that is such a clear way of explaining the connection between that graph and that equation! I love it. That helps me see what’s happening every time that variable increases.” You know? I love when kids do that! That’s not quick and accurate calculation, right? One of the most heartbreaking things I’ve seen sometimes is teachers doing a really good job of pumping kids up and helping them feel mathematical and seeing their mathematical strengths in the everyday lessons…but then they get a standard assessment and are told they’re a C student. How do you support the messaging you’re doing in your teaching and in your interactions so that it aligns with assessment? And this is where the sorting mechanism of school kind of inhibits some of the ways that we really should be valuing kids in a way that would support their ongoing learning and their own particular flourishing.

Dan Meyer (26:59):

I love how you describe this whole process as a career-long trajectory, how one does not ever finish creating an asset orientation in oneself. I’m wondering if there is some way for teachers who are listening to start to experience, to enter into that kind of feedback loop, that experience, of what an asset orientation offers them and their students. Do you have some way for us to start digging in here? A challenge, if you will?

Lani Horn (27:24):

Yeah, sure. This is a process I learned from teachers I’ve worked with, so I did not make this up. It’s called a roster check. It’s where you take a roster of one of your classes, and you go through student by student and see if you can specifically name a way that that student is mathematically smart. And it’s a private exercise if you want it to be. And just sort of go through. And then for the students who you really struggle to name how they’re smart, step back and see if there’s some kind of a pattern. And when I’ve done this in PD, as an exercise, I’ve had teachers have some real light-bulb moments where they go, “Oh my gosh, I really don’t know the quiet girls in my classroom,” or “I really don’t know the multilingual learners in my classroom.” So they can sort of start to see a bias in who they’re interacting with and who’s been able to engage in ways that uncover what their unconscious bias might be. And sometimes it’s not unconscious bias. Sometimes it’s not necessarily a category like that. It’s just the kids who are more outspoken, the kids who are high achieving. It doesn’t have to necessarily be linked to an obvious social category. However, I do think that then what you can do with that list of kids who you don’t have a name for their strengths, is you can kind of take a couple of them a week and make that your project to really observe them a little more intentionally and a little more closely. Try mixing things up. Have a chat with them. Say, “Hey, so what do you like to do? What are the things that you like to do in the world? What are your hobbies?” So maybe you can start to get some insight that way. You can talk to other teachers. Most kids have something that they’re passionate about, something that animates them and wakes them up in the morning, and knowing that and finding ways to meaningfully tie that to their mathematical learning can be extremely powerful.

Bethany Lockhart Johnson (29:35):

Lani. I love that idea, taking that time to reflect and allow yourself to be vulnerable as you take a look at your biases and how that’s impacting your classroom space. I have learned so much from our conversation. I know we’re just scratching the surface of the work that you do. So if folks want to learn more, want to continue engaging in these ideas, where can they find you, or where can they find more about your work?

Lani Horn (29:58):

I’m pretty active on Twitter. My handle is @ilana_horn. No “e” on that. And I’ve written a couple of books for teachers. One is called Motivated. Another is called Strength in Numbers. People can check those out.

Bethany Lockhart Johnson (30:17):

I love it. For our listeners, we are thrilled to share this conversation with you, and we wanna hear how you take up this challenge: What do you uncover? What do you notice? What are you learning about an asset orientation? And you can share that by finding us on Twitter at @MTLshow, or you can also continue the conversation with us in our Facebook group, Math Teacher Lounge. We’re so excited to keep learning with you. And thanks for listening.

Lani Horn (30:42):

Bye! Thanks for having me.

Dan Meyer (30:44):

Bye, folks. Thank you.

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What Lani Horn says about math

“An asset orientation is looking for students’ strengths and trying to work from those strengths as a basis for your teaching. ”

– Lani Horn

Professor of Mathematics Education, Vanderbilt University Peabody College

Meet the guest

Lani Horn centers her research on ways to make authentic mathematics accessible to students, particularly those who have been historically marginalized by our educational system. Professor Horn focuses primarily on mathematics teaching in two ways. First, Professor Horn looks at classroom practices that engage the most students in high-quality mathematics. Second, Professor Horn views teaching as a contextually-embedded practice –  how school environments, communities, colleagues, and policies shape what is instructionally possible. All of this is unified through a pursuit to understand teacher learning as a situative phenomenon. Follow Professor Horn on Twitter.

A graphic with the text "Math Teacher Lounge with Bethany Lockhart Johnson and Dan Meyer" on colored overlapping circles.

About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

A curiosity-driven K–12 program that builds students’ lifelong math proficiency

Meet Amplify Desmos Math. Our structured, problem-based approach builds on students’ curiosity while strategically developing math fluency and lasting grade-level understanding. Amplify Desmos Math for grades K–8 has been rated all-green by EdReports.

Explore samples

Math that motivates

Picture a classroom where students are so eagerly engaged in a lesson, they wish it wouldn’t end. The room is buzzing with the sounds of natural curiosity. This is what an Amplify Desmos Math classroom looks and sounds like.

Request a demo to see how math can motivate.

A structured approach to problem-based learning

Amplify Desmos Math combines and connects conceptual understanding, procedural fluency, and application. Lessons are designed with the Proficiency Progression™, a model that provides teachers with clear instructional moves to build from students’ prior knowledge to grade-level learning.

A teacher stands in front of a classroom, pointing toward a screen, while students with raised hands sit at desks with laptops, engaging with the core curriculum through Amplify Desmos Math.

A powerful suite of math resources

Amplify Desmos Math fuses problem-based lessons, intervention, personalized practice, and assessments to create a cohesive and engaging experience that maintains academic rigor while meeting the needs of both students and teachers.

Data informs instruction. Comprehensive student profiles provide full data on students’ assets and skills, empowering teachers to provide just-in-time scaffolds throughout core instruction and targeted intervention when needed. Connect with a product expert to see it in action.

Two young girls sit at a table in a library or classroom, smiling and gesturing with their hands. Books and educational materials are on the table.

Student thinking is valuable and can be made evident.

We believe that math class is a place where teachers can elicit, celebrate, and build on their students’ interesting ideas. Those ideas fuel meaningful classroom conversations and drive the learning process.

Robust assessments that drive learning and inform instruction

A variety of performance data in Amplify Desmos Math provides evidence of student learning, while helping students bolster their skills. With explicit guidance on what to look for and how to respond, teachers can effectively support students as they develop their understanding.

A laptop screen displays a math question with a scatter plot about staff and wait times; a worksheet with a similar graph is shown in the background.
A laptop displays a math problem with illustrated students and a virtual keyboard. Behind it, a chart shows percentages for a Math 2 Beginning-of-Year Screener assessment.

Diagnostic screening and progress monitoring assessments identify what students know and can do.

Integrated mCLASS® Math assessments go beyond accuracy to reveal students’ math thinking through an asset-based approach. This data provides better insights about what students know, what math assets to leverage, and where students need support.

Reporting and insights

Teachers and administrators have visibility into what students know about grade-level math with a variety of data reports. By evaluating not only what students know about grade-level math but also providing insight into how they think, teachers can confidently plan whole-class instruction and targeted intervention.

A digital dashboard displays student names and their performance levels in a grid, with a score distribution summary for assessment items shown in an overlay—ideal for tracking progress within the core curriculum or Desmos Math programs.

Access to grade-level math for every student, every day

Amplify Desmos Math provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level-content without reducing the mathematical demand of tasksall while supporting students in building strong number sense, fluency, and conceptual understanding.

A five-step process for teaching with Amplify Desmos Math: activate prior knowledge, collaborate ideas, use facilitation tools, guide to grade-level understanding, and practice for lasting understanding within the core curriculum.

Differentiation when and where it matters most

Teachers are provided with clear student actions to look for, matched with immediately usable suggestions for how to respond to student thinking. Each lesson also includes recommendations for resources to use with students to support, strengthen, and stretch their understanding of the lesson goal.

Connect with a product expert to learn more.

Boost Math

Boost Math® drives tiered intervention and practice for grades K–8, bringing grade-level math within reach of every learner. Students are grouped into learning pathways based on assessment data for key math topics.

Visit Boost Math to learn more.

A boy wearing headphones sits at a desk, using a laptop in a classroom setting. A whiteboard and colorful posters highlight the mathematics curriculum in the background.

Personalized Learning

Personalized Learning™ extends each Amplify Desmos Math lesson with short, targeted digital activities designed around the day’s core concepts. Students receive just-in-time support based on their current understanding, helping them build fluency and confidence in the exact skills they’re working on in class.

Intervention Mini-Lessons aligned to core instruction

Amplify Desmos Math Mini-Lessons are aligned to the most critical topics throughout a unit and provide targeted intervention for small groups of students who need additional support or need more time.

Elevate math instruction with Amplify PD.

Amplify Desmos Math offers targeted professional development (PD) sessions designed to enhance teaching strategies, improving student engagement and mastery of mathematical concepts. Gain insights and techniques to maximize instructional effectiveness.

What’s included

The program integrates print and digital resources, along with manipulatives and Centers Kits in grades K–5, to help students build mathematical understanding, reason through mathematical ideas, and express their mathematical thinking. Resources are designed to support the educational rigor of daily core math instruction.

For students

  • Print Student Edition (two-volume)
  • Digital access to lesson resources and practice
  • Interactive Student Activity Screens
  • Responsive Feedback™
  • Collaboration tools
  • Personalized Learning
  • Hands-on manipulative kits
  • Additional Practice

For teachers

  • Print Teacher Edition (two-volume)
  • Digital access to planning and instruction resources
  • Presentation Screens
  • Facilitation and progress monitoring tools
  • Assessment and reporting suite, featuring mCLASS Assessments (grades K–8)
  • Assessment Resources
  • Center Resources (grades K–5)
  • Intervention and Extension Resources (grades K–A1)
  • Math Language Development Resources
  • Additional Practice

Visual and dynamic interactions pique student interest and invite all students to engage in the mathematics.

  • Engaging interactions
  • Social, collaborative experiences
  • Teacher Dashboard
  • Teacher Presentation Screens
  • Digital facilitation tools
  • A powerful conversation toolkit

Amplify Classroom

Amplify Classroom is a free teaching and learning platform that places student engagement at the center of instruction.

Amplify Classroom features free lessons, lesson-building tools, sharing features, and more. Built by math educators, the platform makes leaning into good pedagogy easier for teachers—which makes the lesson a more interactive experience for students.

Create your teacher account at classroom.amplify.com.

Our free lessons can be used alongside any core math program. Click here to view crosswalks to core programs.

Ready to learn more?

Fill out this form and we’ll be in touch soon.

Explore more programs.

Our programs are designed to support and complement one another. Learn more about our related programs.

A curiosity-driven K–12 program that builds students’ lifelong math proficiency

Meet Amplify Desmos Math. Our structured, problem-based approach builds on students’ curiosity while strategically developing math fluency and lasting grade-level understanding. Amplify Desmos Math for grades K–8 has been rated all-green by EdReports.

Explore samples

Math that motivates

Picture a classroom where students are so eagerly engaged in a lesson, they wish it wouldn’t end. The room is buzzing with the sounds of natural curiosity. This is what an Amplify Desmos Math classroom looks and sounds like.

Request a demo to see how math can motivate.

A structured approach to problem-based learning

Amplify Desmos Math combines and connects conceptual understanding, procedural fluency, and application. Lessons are designed with the Proficiency Progression™, a model that provides teachers with clear instructional moves to build from students’ prior knowledge to grade-level learning.

A five-step process for teaching with Amplify Desmos Math: activate prior knowledge, collaborate ideas, use facilitation tools, guide to grade-level understanding, and practice for lasting understanding within the core curriculum.

A powerful suite of math resources

Amplify Desmos Math fuses problem-based lessons, intervention, personalized practice, and assessments to create a cohesive and engaging experience that maintains academic rigor while meeting the needs of both students and teachers.

Data informs instruction. Comprehensive student profiles provide full data on students’ assets and skills, empowering teachers to provide just-in-time scaffolds throughout core instruction and targeted intervention when needed. Connect with a product expert to see it in action.

Two young girls sit at a table in a library or classroom, smiling and gesturing with their hands. Books and educational materials are on the table.

Student thinking is valuable and can be made evident.

We believe that math class is a place where teachers can elicit, celebrate, and build on their students’ interesting ideas. Those ideas fuel meaningful classroom conversations and drive the learning process.

Robust assessments that drive learning and inform instruction

A variety of performance data in Amplify Desmos Math provides evidence of student learning, while helping students bolster their skills. With explicit guidance on what to look for and how to respond, teachers can effectively support students as they develop their understanding.

A laptop screen displays a math question with a scatter plot about staff and wait times; a worksheet with a similar graph is shown in the background.
A laptop displays a math problem with illustrated students and a virtual keyboard. Behind it, a chart shows percentages for a Math 2 Beginning-of-Year Screener assessment.

Diagnostic screening and progress monitoring assessments identify what students know and can do.

Integrated mCLASS® Math assessments go beyond accuracy to reveal students’ math thinking through an asset-based approach. This data provides better insights about what students know, what math assets to leverage, and where students need support.

Reporting and insights

Teachers and administrators have visibility into what students know about grade-level math with a variety of data reports. By evaluating not only what students know about grade-level math but also providing insight into how they think, teachers can confidently plan whole-class instruction and targeted intervention.

A digital dashboard displays student names and their performance levels in a grid, with a score distribution summary for assessment items shown in an overlay—ideal for tracking progress within the core curriculum or Desmos Math programs.

Access to grade-level math for every student, every day

Amplify Desmos Math provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level-content without reducing the mathematical demand of tasksall while supporting students in building strong number sense, fluency, and conceptual understanding.

A teacher stands in front of a classroom, pointing toward a screen, while students with raised hands sit at desks with laptops, engaging with the core curriculum through Amplify Desmos Math.

Differentiation when and where it matters most

Teachers are provided with clear student actions to look for, matched with immediately usable suggestions for how to respond to student thinking. Each lesson also includes recommendations for resources to use with students to support, strengthen, and stretch their understanding of the lesson goal.

Connect with a product expert to learn more.

Boost Math

Boost Math® drives tiered intervention and practice for grades K–8, bringing grade-level math within reach of every learner. Students are grouped into learning pathways based on assessment data for key math topics.

Visit Boost Math to learn more.

A boy wearing headphones sits at a desk, using a laptop in a classroom setting. A whiteboard and colorful posters highlight the mathematics curriculum in the background.

Personalized Learning

Personalized Learning™ extends each Amplify Desmos Math lesson with short, targeted digital activities designed around the day’s core concepts. Students receive just-in-time support based on their current understanding, helping them build fluency and confidence in the exact skills they’re working on in class.

Intervention Mini-Lessons aligned to core instruction

Amplify Desmos Math Mini-Lessons are aligned to the most critical topics throughout a unit and provide targeted intervention for small groups of students who need additional support or need more time.

Elevate math instruction with Amplify PD.

Amplify Desmos Math offers targeted professional development (PD) sessions designed to enhance teaching strategies, improving student engagement and mastery of mathematical concepts. Gain insights and techniques to maximize instructional effectiveness.

What’s included

The program integrates print and digital resources, along with manipulatives and Centers Kits in grades K–5, to help students build mathematical understanding, reason through mathematical ideas, and express their mathematical thinking. Resources are designed to support the educational rigor of daily core math instruction.

For students

  • Student Edition (two-volume)
  • Digital access to lesson resources and practice
  • Interactive Student Activity Screens
  • Responsive Feedback™
  • Collaboration tools
  • Personalized Learning
  • Hands-on manipulative kits

For teachers

  • Teacher Edition (two-volume)
  • Digital access to planning and instruction resources
  • Presentation Screens
  • Facilitation and progress monitoring tools
  • Assessment and reporting suite, featuring mCLASS Assessments (grades K–8)
  • Assessment Resources
  • Center Resources (grades K–5)
  • Intervention and Extension Resources (grades K–8)

Visual and dynamic interactions pique student interest and invite all students to engage in the mathematics.

  • Engaging interactions
  • Social, collaborative experiences
  • Teacher Dashboard
  • Teacher Presentation Screens
  • Digital facilitation tools
  • A powerful conversation toolkit

Amplify Classroom

Amplify Classroom is a free teaching and learning platform that places student engagement at the center of instruction.

Amplify Classroom features free lessons, lesson-building tools, sharing features, and more. Built by math educators, the platform makes leaning into good pedagogy easier for teachers—which makes the lesson a more interactive experience for students.

Create your teacher account at classroom.amplify.com.

Our free lessons can be used alongside any core math program. Click here to view crosswalks to core programs.

Ready to learn more?

Fill out this form and we’ll be in touch soon.

Explore more programs.

Our programs are designed to support and complement one another. Learn more about our related programs.

Welcome, K–8 Program 1 reviewers!

We’re honored to introduce you to Amplify California Language Arts. We’re confident you’ll find this comprehensive program to be a powerful tool for bringing the vision of the California ELA Framework to life in classrooms across the state.

Please start with the video on the right to learn how to navigate the program and access key features referenced within our submission. Below you’ll find additional resources to support your review.

Your review samples

We’re excited for you to begin your review of Amplify Core Knowledge Language Arts (CKLA) California and Amplify ELA California. Physical and digital review materials will vary by grade level.

Reviewer Binders (K–8)

Your physical samples should have arrived in grade-specific boxes with three Reviewer Binders.

  • The first binder will contain logistical program review information and the printed Evaluation Criteria Map.
  • The second binder will contain the printed Standards Maps for grades K–4.
  • The third binder will contain the printed Standards Maps for grades 5–8.

Physical samples (K–5)

You can expect to receive 15 boxes of physical materials for your review. As you begin the process of organizing your materials, please refer to the inventory checklist found inside each box as well as within your Reviewer Binder. Please note you will not receive any physical samples for grades 6–8. Your review of the program for grades 6–8 will be entirely digital.

Digital samples (K–8)

In order to access your digital samples, you’ll need to log in to our platform using your unique login credentials found on a Digital Review Credential flyer inside of your Reviewer Binder. Once you have located the flyer:

  • Click the orange button below to access the platform.
  • Click “Log in with Amplify.”
  • Enter the username and password provided on your Digital Review Credential flyer.

Navigation tips

Before you get started, please review these important functionality notes:

Criteria Map and Standards Maps must be opened on Microsoft Word on your desktop to function as intended. If you open the documents without Microsoft Word on your desktop, citations will be cut off at the bottom of most tables within the document.

Many of our citations are deep-links to PDFs, meaning they will take you to the right page or the first page in the sequence for the citation in question. To ensure this functionality works, please disable any PDF-viewing extensions or plug-ins such as Adobe Acrobat Pro Browser Extension.

[Reviewer program navigation video] Grades K–5

[Reviewer program navigation video] Grades 6–8

Click here for additional information on navigating the digital materials for grades 6–8.

Category 1: English Language Arts (ELA) and English Language Development (ELD) Content/Alignment to Standards

Evaluation Criteria Map

Linked below is the Evaluation Criteria Map for grades K–8. Please note that you will need to be logged into the digital platform to access the links in the Evaluation Criteria Map.

ELA Standards Maps

The links below provide the Standards Maps for Amplify California Core Language Arts for each grade level. Please note that you will need to be logged into the digital platform to access the links in the Standards Maps.

Category 2: Program Organization

The Amplify California Language Arts Program 1 submission includes Amplify CKLA California for Grades K–5 and Amplify ELA California for Grades 6–8. This comprehensive curriculum provides a full year of evidence-based instruction for each grade level, transitioning from foundational literacy to advanced text analysis.

Program structure

Amplify’s California Language Arts programs are built on what the research shows: Strong readers need both word recognition and language comprehension. Our comprehensive curriculum suite follows the Simple View of Reading and The Reading Rope–bringing together foundational skills and knowledge building to deliver instruction grounded in evidence-based literacy practices.

Flowchart illustrating skilled reading as the product of language comprehension and word recognition, grounded in the science of reading.
Diagram illustrating the interplay between language comprehension and word recognition in reading, as seen in early literacy stages. It highlights pathways through knowledge, vocabulary, and sentence understanding, reflecting principles from the CKLA reading program.

Each lesson follows a predictable structure with clearly marked components, beginning with warm-up routines, progressing through explicit instruction with guided practice, and concluding with independent application activities. The program provides detailed teacher language, including question stems and discussion prompts, ensuring clear and consistent delivery of instruction.

[Reviewer highlight video] Program organization for Category 2

[Reviewer highlight video] Program structure for grades K–2

[Reviewer highlight video] Program structure for grades 3–5

[Reviewer highlight video] Program structure for grades 6–8

Amplify CKLA California empowers teachers to deliver effective instruction and keeps students engaged with the following resources:

  • Teacher Guides
  • Assessment Guides
  • Authentic texts and trade books
  • Knowledge Image Cards
  • Knowledge Flip Books
  • Remediation and intervention resources
  • Decodable readers
  • Student Readers and novels
  • Student Activity Books
  • Poet’s Journals
  • eReaders
  • Sound Library featuring articulation videos and songs
  • Instructional routine modeling videos
  • Assignable Practice Games
  • On-demand professional development

Amplify ELA California students stay engaged with the following resources:

  • Teacher Guides that include:
    • Detailed lesson plans
    • Standards alignment and exit tickets
    • Real-time differentiation strategies
    • Robust reporting
  • Student Editions that include:
    • High-quality narrative and informational texts
    • Videos, audio supports, and digital experiences that capture their attention
    • Personal Writing Journal to keep all student writing in one place
  • Trade Books

Core literacy philosophy

Support every learner. Meet all learning needs with a Multi-Tiered System of Supports (MTSS) that brings together universal screening, scaffolded core instruction, support for English learners, and data-driven intervention to ensure every student gets what they need to succeed.

Deliver consistent foundational skills instruction. Daily explicit, systematic skills instruction in grades K–2, with targeted yet flexible support for students still building decoding confidence in grades 3–8, ensures mastery of essential reading foundations.

Build lasting knowledge across all grades. Through coherently sequenced, content-rich instruction that revisits key vocabulary and concepts with increasing complexity, students build meaningful connections that deepen their vocabulary and reading comprehension.

Strengthen reading through writing at every level. Regular writing instruction grounded in the Science of Writing supports reading comprehension, improves sentence-level writing, and provides the foundation for high-quality composition. As students progress through the upper grades, they engage in increasingly complex analytical tasks—synthesizing ideas, drawing generalizations, and interpreting multiple textual layers through both focused quick-writes and comprehensive essays. 

Foster oral language development. Structured opportunities for academic conversation and evidence-based dialogue build students’ ability to express complex ideas with precision and allow them to participate confidently in classroom discussions.

Measure growth with comprehensive assessments. Assessments range from in-the-moment checks for understanding to summative assessments that measure progress toward skills mastery and standards proficiency, providing the data needed to drive targeted instruction.

Scope and sequence

Below you can view the scope and sequence for each grade level. 

Routines

Amplify CKLA California and Amplify ELA California include several structured instructional routines that provide predictable patterns for both teachers and students:

Discussion and collaboration routines:

  • Turn and Talk: Partners discuss text-specific content using sentence starters and frames
  • Think-Pair-Share: Students engage in individual thinking, partner discussion, and whole-class sharing
  • Partner reading: Students sit shoulder-to-shoulder, taking turns reading and listening

Foundational Skills routines:

  • Sound-spelling review: Warm-up activities that reinforce phonics patterns
  • Oral blending warm-ups: Teacher-guided practice progressing to independent application
  • Finger tapping: Techniques for blending sounds
  • Chaining activities: Students manipulate letters to transform one word into another
  • Word Work: Daily short activities focused on domain-specific and academic vocabulary

Knowledge-building routines:

  • Vocabulary preview: Introduction of new words before reading
  • Read-aloud procedures: Established routines for introducing and discussing complex texts
  • Text discussions: Structured comprehension conversations with scaffolded questioning

Fluency routines:

  • Teacher modeling: Demonstration of proper intonation, expression, and pacing
  • Choral reading: Whole-class reading practice
  • Partner reading: Paired fluency practice

Close reading routines

The program includes carefully structured close reading activities that guide students through multiple encounters with complex texts. These routines help students develop deeper comprehension through systematic analysis and discussion.

Each routine includes comprehensive instructional guides with clear-cut directions for implementation, straightforward explanations of concepts, and suggestions for discussion.

Category 3: Assessments

Systematic MTSS alignment

In alignment with the additional 2025 Guidance 3.1.a, the assessment systems align with MTSS tiers, including universal screening, diagnostic assessments for students demonstrating a need for additional support, and progress monitoring tools that complement California’s required universal screening schedule per SB 114.

Tier 1:
Universal/ differentiated support
Tier 2: 
Supplemental/ targeted support
Tier 3: 
Intensified/ intensive support
Core instruction assessments




Frequency of administration
Amplify CKLA California, Amplify ELA California assessments


Daily, Weekly, Monthly
Amplify CKLA California, Amplify ELA California assessments


Daily, Weekly, Monthly
Amplify CKLA California, Amplify ELA California assessments


Daily, Weekly, Monthly
Universal screening assessments

Frequency of administration
mCLASS DIBELS and mCLASS Lectura

3 times per year – BOY, MOY, EOY
mCLASS DIBELS and mCLASS Lectura

3 times per year – BOY, MOY, EOY
mCLASS DIBELS and mCLASS Lectura

3 times per year – BOY, MOY, EOY
Formal progress monitoring assessments


Frequency of administration
mCLASS DIBELS and mCLASS Lectura


3 times per year – BOY, MOY, EOY
mCLASS DIBELS and mCLASS Lectura


Monthly
mCLASS DIBELS and mCLASS Lectura


Bi-weekly
Informal progress monitoring assessments



Frequency of administration
Amplify CKLA California, Amplify ELA California core assessments


Daily
Intervention Toolkit progress monitoring assessments


When linked to a lesson in the toolkit
Intervention Toolkit progress monitoring assessments


When linked to a lesson in the toolkit
Diagnostic assessment



Frequency of administration
Amplify skill diagnostic assessment


Optional after universal screening assessment is administered
Amplify skill diagnostic assessment


After universal screening assessment is administered

Universal assessment system

Amplify’s mCLASS® DIBELS® 8th Edition (K–8) and mCLASS Lectura (K–6) are universal and dyslexia screening assessments that should be administered three times per year (BOY, MOY and EOY) to all students. The assessments evaluate student literacy risk, determine progress toward grade-level goals, and indicate the level of instructional  support a student may need. Beginning-of-year screenings require adequate instructional time before administration, particularly in grades K–1, while mid-year and end-of-year assessments evaluate instructional effectiveness and guide tier placement adjustments. These screenings also identify students at risk for dyslexia. Universal screening provides essential data for targeting instruction and measuring instructional system effectiveness.

Core instruction assessments

Amplify CKLA California and Amplify ELA California provide a comprehensive suite of assessments for Grades K–8 that range from low-stakes, informal formative assessments to more formal summative assessments. These assessments incorporate a variety of methods and question types, including multiple-choice questions, open-ended questions, and oral and written responses.

Formative assessments:

  • Checks for Understanding: Incorporated into each lesson segment throughout daily instruction. Quick pulse-checks that provide immediate feedback during lesson delivery (grades K–5). 
  • Daily formative assessments: Highlighted moments within each lesson for teachers to plan to track mastery of Primary Focus objectives and standards of each lesson to get a clear snapshot of individual and whole-class progress (grades K–5). 
  • Activity pages: Completed as part of lessons and can be used to assess lesson content understanding through various formats (grades K–5).
  • Exit Tickets: Located at the end of lessons, these provide a quick gauge of students’ ability to meet the lesson’s focus standards (grades 6–8).  
  • Writing Prompts: Prompts integrated throughout lessons during writing activities that provide skill snapshots within lessons and tracks patterns of skill development over time (grades 6–8).
  • Independent reading activities (Solos): At the end of every lesson, students complete an independent reading activity (“Solo”) with reading questions that are scored to measure comprehension (grades 6–8).

Summative assessments:

  • Skills end-of-unit assessments (grades K–2) 
  • Knowledge end-of-domain assessments (grades K–2) 
  • End-of-unit assessments (grades 3–5) 
  • Unit essays: A culminating end-of-unit set of lessons that guide students through crafting an essay with a rubric to score mastery of writing skills (grades 6–8)
  • Unit Reading Assessments: Auto-scored responses and two constructed response items evaluate comprehension, content understanding, and reading skills using the passages students read during the unit (grades 6–8)

Performance Assessments

Student Performance Assessments are multi-day assessments administered in Grades K–5 at the beginning, middle, and end of year to help teachers gauge student mastery of grade-level Core content. These assessments provide critical data to help teachers set targeted instructional goals and monitor individual and class-wide progress towards core objectives.

Progress monitoring

Amplify’s mCLASS® DIBELS® 8th Edition and mCLASS Lectura provide formal progress monitoring in the discrete skills that are indicative of reading growth and predictive of overall success to provide the most instructionally meaningful information to teachers.


Informal progress monitoring tools can be found within the Intervention Toolkit, including materials for teachers to record, track, and evaluate student progress.

Diagnostic assessment

Interventions within Amplify’s literacy programs are informed by a skill diagnostic assessment that provides detailed data on foundational literacy skill deficits. The Amplify Skill Diagnostic Assessment and Amplify Spanish Skill Diagnostic assessment serve as critical tools in this process, administered specifically to students identified as at risk for reading difficulty through universal screening assessments—particularly those demonstrating mCLASS DIBELS 8th Edition or mCLASS Lectura composite scores in the Well Below or Below Benchmark ranges. These diagnostic assessments provide teachers with the precise skills to begin intervention and remediation.

Category 4: Universal Access

Amplify CKLA California and Amplify ELA California were built on the principles of Universal Design for Learning (UDL) and reviewed by CAST, a nonprofit education research and development organization. The program is developed using the Universal Design for Learning framework to proactively ensure that all learners can access and participate in meaningful, challenging learning opportunities.

Universal Design for Learning

The programs incorporate opportunities for engagement, representation, action, and expression based on the guidelines of Universal Design for Learning.

  • Multiple Means of Engagement: The programs incorporate interesting and motivating ways for students to interact with information and content. In Amplify CKLA California, the Universal Access section in the introduction of each lesson provides specific lesson-level options based on the needs of individual classrooms and students. Scaffolding for students with various levels of need is incorporated into the design of each lesson.
  • Multiple Means of Representation: The programs provide multiple means of presenting content to maximize student understanding. This includes digital component files that allow for a range of presentations of images and text to support learning. Amplify provides access to universal supports such as point-of-use audio for all core texts, embedded definitions for critical vocabulary, and glossaries in multiple languages. Amplify CKLA California includes clarification on language found throughout the program, with sidebars that include support on transition words and syntax, and illustrations to help students understand the concepts they are learning.
  • Multiple Means of Action and Expression: The programs include a range of methods for all students, including English learners, to navigate and demonstrate learning. This includes physical actions, a range of methods for response, appropriate tools for composition, and varied scaffolding. In Amplify ELA California, lessons provide multiple ways for students to interact with text, allowing their brains to process the language through distinct pathways. Activities harness multiple learning modes, using media tools, digital apps, and a variety of visual and physical experiences to strategically support and enhance student learning.
  • Accessibility: Universal access features include visual aids, enlarged materials, physical objects, and multiple learning modalities through activities like Push & Say and Wiggle Cards. The Universal Access section in the introduction of each lesson provides specific lesson-level options based on the needs of individual classrooms and students.

Embedded differentiation

Amplify CKLA California and Amplify ELA California provide built-in differentiation strategies in every lesson for all students.

  • Pre-teaching supports include mini-lessons on:
    • Core vocabulary building
    • Core connections
    • Essential background information building
    • What Have We Already Learned?/What Do We Already Know?
  • Differentiated Support for Core Instruction tables, located in the overview of each K–2 Skills Teacher Guide, provide a list of specific opportunities for reteaching and additional support in each lesson based on skill.
  • Support and Challenge Sidebars in lesson margins offer educators immediate guidance in implementing point-of-use differentiation techniques.
  • Flexible Grouping within lessons provides opportunities for teachers to facilitate small groups, partners, or individualized support based on students’ needs. In the Skills Strand, teachers receive specific guidance for differentiated small-group instruction, with targeted support and activities outlined for both Group 1 (students needing additional support) and Group 2 (on-level students) based on data. 
  • Amplify ELA California provides point-of-use supports embedded within key core lesson activities with six levels of differentiation. The goal of these supports is to fully enable access to grade-level content for all students, including students with disabilities, English learners, and students ready for an additional level of challenge.
  • The Universal Access section of Advance Preparation in each lesson includes varied strategies to ensure all students can access and engage in each lesson.
  • Frequent use of graphic organizers and visual supports in lessons provide opportunities for differentiation based on need. The program also includes a variety of technological supports, such as eReaders with audio.
  • Extension opportunities are suggested throughout lessons, often embedded in writing tasks, which include prompts to use more complex and descriptive vocabulary, figurative language,  multi-clause and complex sentences, and  informational text characteristics.

Assessment-driven MTSS resources

  • The K–8 Intervention Toolkit is available online and provides easy-to-use resources that assist teachers in filling gaps in students’ reading skills, with activities to support print concepts, phonological awareness, phonics, fluency, and other key skills
  • Fluency Packets (Grades 2–5)
  • Foundational Skills Intervention Program for Grades 3–8 support students who would benefit from direct and explicit intervention instruction in the full continuum of foundational skills in the upper grades
  • Flexible Instructional Time including:
    • Pausing Points built into the curriculum that provide teachers with dedicated time to address specific student needs through targeted reteaching, remediation, practice, and extension activities 
    • Pausing Point activities designed to support English learners’ competence and confidence through differentiated whole-group, small-group, or individual instruction
  • Boost Reading is a K–5 student-led digital intervention program. Boost Reading follows Amplify CKLA California’s scope and sequence to reinforce the same foundational skills taught in core instruction. It integrates easily into daily routines, while the robust data provided by mCLASS® DIBELS® 8th Edition offers a detailed view of how students progress across all instructional tiers.

Category 5: Instructional Planning and Teacher Support

Amplify CKLA California and Amplify ELA California teachers are empowered to deliver effective instruction with various print and digital resources. The program provides comprehensive planning and support materials designed to help teachers prepare for and execute lessons effectively and fulfill the requirements of Category 5.

Implementation supports across K–8

Planning and preparation resources

  • Unit Overviews that provide important background and context for the texts students will read, including highlighted elements within the text and guidance for how students will work with those elements
  • Sub-unit Overviews (Grades 6–8) that provide an overview of Lesson Objectives and reading and writing assignments, as well as a list of any projections, multimedia, or digital apps that can be projected from the teacher’s included digital license
  • Lesson-by-lesson preparation checklists (Grades 6–8) accompanying each Sub-unit Overview
  • Lesson Briefs for each individual lesson providing important background and context
  • Content knowledge materials regarding topics that students will examine

Point-of-use instructional guidance

  • Teacher Editions that feature insets of the same text and activity instructions as the corresponding Student Edition, wrapping teacher instruction around these materials
  • Activity guidance at point of use
  • Lesson standards clearly called out
  • Discussion suggestions embedded in lessons
  • Differentiation tips at point of use
  • Detailed Instructional Guides in each activity that include sequencing and grouping suggestions, tips for facilitating discussion, possible student responses and exemplars
  • Student Supports in all core lessons provide teachers with targeted supports in daily core instruction, addressing which might serve the student best in the moment—support, strengthen, stretch—with additional call-outs for newcomers

Multimedia and digital support

  • Teacher tip videos provide modeling and guidance for implementing key foundational skills routines within the program
  • Digital platform access where teachers can access printable PDFs of differentiated support materials for English learners and readers struggling with text, including translated Unit Background and Context Documents and Text Previews
  • Teacher Dashboard and reporting tools (Grade 6–8) that provide real-time visibility into student progress and work for immediate instructional response

Caregiver supports

Communication and overview resources

  • Caregiver Hub available in English and Spanish that provides an overview of the curriculum
  • Caregiver Letters for each K–2 Knowledge Domain and unit in Grades 3–5 that provide an overview of the content, the skills students learn, as well as practical methods that continue the learning and knowledge building at home
  • Unit-specific Caregiver Letters (Grades 6–8) that provide detailed information regarding what students will read and learn in each unit, including conversation starters that allow caregivers to ask questions and discuss specific aspects of a unit with their student
  • Welcome letters that explain the assessment and placement process while inviting parent involvement and offering support
  • Editable Home-School Communication letters available in English and Spanish
  • Editable Progress Reports for teachers to update parents and guardians on what their child is learning

Content and learning support materials

  • Unit Background and Context documents that provide an introduction and overview to the unit’s topic and themes, available in English and Spanish
  • Text Previews that provide a brief introduction to formative, independent reading assignments (called Solos in Grades 6–8), available in English and Spanish
  • Unit Overview and Support documents (Grades 6–8) designed for caregivers that provide information about important questions, assignments, and key aspects of the unit texts, available in English and Spanish
  • Conversation starters included in Knowledge Strand Caregiver Letters to discuss domain topics at home

Home practice and extension activities

  • Take-Home pages in the Skills Strand that include copies of decodable passages, enabling students to share their reading progress with families and continue practicing their skills outside of school
  • Take-Home Letters in the Skills Strand that provide specific guidance for parents to support skills practice at home, such as sound-sorting activities, with detailed instructions and materials for home practice activities
  • Take-Home pages in the Knowledge Strand that provide suggested activities families can do together to reinforce and extend learning beyond the classroom
  • Games and activities on Take-Home Pages that extend classroom instruction, including all the materials and instruction necessary to help families assist students in a fun and engaging way
  • Digital access to decodable texts through the Amplify Caregiver Hub, allowing students to practice their reading skills both in class and at home
  • Weekly spelling lists and directions to decoding activities that can be practiced at home

Shifting to problem-based learning in K–5 math

Illustration of a sun, a clock, a die showing six, and a multiplication equation next to a green leafy plant on soil, all on a light yellow background—perfect for introducing fun math activities for kindergarten.

Math is all about getting the right answer. Right?

Wrong! Getting the correct answer matters, of course—accuracy is part of proficiency—but when math instruction focuses primarily on correctness, students can miss something essential: the opportunity to think deeply, share ideas, and make sense of problems for themselves.

Many K–5 math classrooms follow a familiar and well-established rhythm: The teacher demonstrates a strategy, students practice it, and the class moves on. This approach is widely used for good reason—it can feel clear, efficient, and reassuring. But over time, it can leave fewer opportunities for students to reason, deepen problem-solving skills, explore different approaches, and develop understanding that lasts.

This is where problem-based learning comes in.

What problem-based learning means in K–5 math

Problem-based learning places rich mathematical problems at the center of instruction. Instead of starting with a demonstrated method, students encounter a problem first, then draw on what they already know, try strategies, and make sense of the math through discussion and reflection.

As students tackle complex problems, they explain their thought processes, compare approaches, and revise ideas. The right answer still matters, but it emerges through critical thinking and sense-making, not just following steps. The result is learning that feels purposeful, engaging, and durable.

This approach reflects how math works beyond the classroom. People begin by understanding a situation, not by choosing a procedure. Problem-based learning helps students build that habit early.

Why shifting to problem-based learning matters

When student thinking stays private, happening only in heads or notebooks, it’s hard to assess understanding or guide learning in the moment. Problem-based learning brings thinking into the open.

As students share strategies, representations, and explanations, teachers gain insight into how they’re reasoning. Instruction can respond to real understanding rather than relying solely on correct or incorrect answers. And students benefit, too, by seeing that their ideas matter and math is something they can actively participate in.

Over time, this approach supports deeper understanding, stronger engagement, and lasting mathematical proficiency.

Three practices that support problem-based learning

Shifting to problem-based learning doesn’t require a complete overhaul all at once. A few core practices can help math teachers support the transition in K–5 classrooms.

  • Establish norms for learning math together. Productive problem-solving depends on a classroom culture where students feel comfortable sharing ideas, even when those ideas are unfinished. Norms that emphasize listening, explaining reasoning, and revising thinking help create a collaborative learning community.
  • Use tasks that invite curiosity and access. Effective problems allow all students to get started while still offering opportunities to extend thinking. Open prompts such as “What do you notice?” or “What do you wonder?” encourage students to connect prior knowledge to new situations and engage meaningfully with the math at hand.
  • Make learning goals explicit at the right moments. Problem-based learning includes purposeful instructional moments. Synthesizing student ideas near the end of a lesson helps students see how their thinking connects to the mathematical goal, bringing clarity without cutting short exploration.

Rethinking the teacher’s role

Problem-based learning also involves a shift in how teachers support instruction.

In classrooms grounded in problem-based learning, teachers guide learning by selecting meaningful problems, monitoring student thinking, and facilitating discussion. Strategic questioning helps students clarify ideas and make connections. Well-timed synthesis highlights important mathematical relationships and supports accurate understanding.

This approach allows teachers to focus less on delivering steps and more on supporting sense-making—while gaining clearer insight into where students are in their learning.

A gradual, supported shift

Shifting to problem-based learning is a process. Many classrooms begin by adjusting how lessons start, increasing opportunities for discussion, or rethinking how students share their thinking.

Over time, these changes add up. Instruction becomes more student-centered. Students engage more deeply. Fluency develops alongside understanding, and productive struggle becomes part of everyday learning.

When classrooms shift toward problem-based learning, math becomes more than getting the right answer. It becomes a way for students to reason, collaborate, and make sense of the world.

The case for grade-level ELA instruction in middle school

Teaching middle school comes with unique challenges—especially in ELA, where a single classroom may include students from all walks of life and all reading levels. Recent data shows that more than 30% of middle school students struggle to read at grade level. So a teacher’s instinct might—understandably—be to match students with texts at their individual reading levels.

But research shows that’s not the best approach for meeting student needs. In fact, a critical way to help middle schoolers read at grade level is … to teach them at grade level.

All students benefit when they are challenged with grade-level content, along with the necessary support and scaffolding to promote their growth. This approach ensures that no student—whether below, above, or on grade level—is left behind or held back from their full potential.

The problem with the remediation trap

Providing struggling students with simpler texts seems like a logical way to build confidence. But this approach often reinforces learning gaps instead of closing them. When students aren’t exposed to grade-level material, they miss out on critical opportunities to:

  • Build knowledge and vocabulary necessary for long-term academic success.
  • Engage in meaningful discussions that deepen comprehension.
  • Develop confidence in their ability to tackle complex texts and new concepts.

But when students interact with rigorous content and new information alongside their peers, they gain the skills, exposure, and engagement they need to improve—no matter where they start.

Scaffolding in education: Why does it matter?

If students need help reaching grade-level standards, focus on providing the right scaffolding rather than lowering expectations.

  • Pre-teaching key vocabulary to support comprehension.
  • Breaking down complex texts into smaller, digestible parts.
  • Using guided questions and discussion prompts to deepen understanding.
  • Encouraging peer collaboration so that students can learn from each other.
  • Incorporating visual aids like diagrams, charts, and graphic organizers to clarify concepts and support comprehension.

By using these strategies, teachers can keep students engaged in grade-level work while addressing skill gaps in a way that fosters real growth.

How grade-level instruction works for every student

  1. Grade-level instruction builds confidence and motivation. Middle school students are deeply social learners who thrive when they feel included. When struggling students are placed in remedial groups with lower expectations, they can feel discouraged. But when they read and discuss the same challenging texts as their peers, they’re more motivated to participate and push themselves.
  2. Grade-level instruction develops critical thinking skills. Grade-level texts expose students to richer vocabulary, more complex sentence structures, and deeper themes. This helps all students—whether they’re working above or below grade level—develop essential thinking and analytical skills that prepare them for high school, college, and beyond.
  3. Grade-level instruction prepares students for real-world literacy. Success in the real world depends on the ability to read and comprehend challenging material. If students aren’t exposed to complex texts in middle school, they’ll struggle in high school, the workplace, and life. Providing grade-level instruction ensures that they develop the reading stamina and skills they need for the future.

Bridging skill gaps without lowering expectations

Some students may need additional support in decoding, fluency, or foundational skills. However, this doesn’t mean they should be separated from grade-level content. Instead, they should receive targeted interventions alongside their core instruction.

Here’s how to bridge skill gaps while keeping all students on track:

  • Use structured reading supports—such as read-alouds or guided reading along with explicit fluency practice—so struggling students can follow along with grade-level texts.
  • Incorporate explicit vocabulary instruction to help students understand and use new words.
  • Provide sentence starters and discussion frameworks to support writing and comprehension.
  • Encourage independent reading at different levels to build fluency while keeping classroom instruction rigorous.

With these strategies, students receive the help they need without missing out on the rich, challenging materials that promote deeper learning.

Teach up, not down: The best approach for middle school ELA

While scaffolding allows struggling readers to access the same grade-level content as their peers, advanced learners can benefit from opportunities to go deeper with discussions, analytical writing, and extension activities—all within the same instructional framework.

Key takeaways for middle school ELA success:

  • Every student should engage with grade-level content, regardless of their starting point.
  • Scaffolding in education helps all learners access complex texts and grow as readers.
  • Effective literacy instruction prepares students for the demands of high school, college, and beyond.

More to explore

If you’re looking for research-backed strategies to support all students with grade-level instruction, check out our free ebook, Every Student at Grade Level: The Case for Grade-Level ELA Instruction in Middle School. It’s packed with actionable insights for teaching middle school ELA effectively and implementing powerful scaffolding techniques.

Welcome to Amplify Desmos Math California!

California educators, welcome to math that motivates. Introducing Amplify Desmos Math California, a curiosity-driven TK–12 program that builds lifelong math proficiency. Each lesson poses problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals. Students encounter math problems they’re eager to solve, while teachers spend more time where it’s most impactful—creating a collaborative classroom of learners.

Explore the California Adoption Toolkit resources and discover more about the program in the sections below.

Built for California

The Amplify Desmos Math California program is designed around the vision articulated in the Mathematics Framework for California Public Schools: Kindergarten Through Grade Twelve to enable all California students to become powerful users of mathematics. Our program incorporates the latest research in student learning, meaning that we:

  • Focus on the Big Ideas: Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. Big Ideas, like standards, are not considered in isolation. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons.
  • Center on open and engaging tasks: Amplify Desmos Math California is grounded in engaging tasks meant to address students’ often-asked question: “Why am I learning this?”  Students are invited into learning with low-floor, high-ceiling tasks that provide an entry point for all. Open tasks in Amplify Desmos Math California provide the space for students to try on multiple strategies and represent their thinking in different ways, and allow student explanation and discussion to serve as the center of the classroom. All lessons offer both print and digital representations.
  • Provide enhanced digital experiences: Amplify Desmos Math California includes digitally-enhanced lesson activities, incorporating interactive digital tools alongside print materials. These purposefully-placed resources allow students to visualize mathematical concepts, receive actionable feedback while practicing, encounter personalized learning support from an onscreen tutor, and engage in discussions about their thinking and approaches.
  • Treat core instruction and differentiation as integral partners: The Amplify Desmos Math California curriculum provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level content without reducing the mathematical demand of tasks. Every activity has multiple entry points to ensure that all students are supported and challenged. Intervention and personalized learning activities are directly connected to lesson content and offer students individualized support as they dive into the mathematics.

California Adoption Toolkit resources

Program Description

Linked here is the Program Description for Amplify Desmos Math California.

Our Major Conceptual Ideas Strategy

The renowned mathematician William Paul Thurston said that mathematics is about understanding. The essence of this perspective is woven into the California Mathematics Framework. The Framework is clear that mathematics calls for “original thought and connections of concepts” and that mathematics teaching should “position students as thinkers and members of the classroom community…to support students in seeing themselves as young mathematicians.”

When Amplify developed Amplify Desmos Math California, we built it with one clear priority: grounding it in student understanding. The Framework provided a basis in the Big Ideas, of course, but also in the Drivers of Investigation (DIs), Content Connections (CCs), and Standards for Mathematical Practice (SMPs). Using those components of the Framework, we organized student learning around how students would make sense of the mathematics.

In addition to lessons and learning experiences specifically designated as Explore lessons or Investigations, we utilized the structure of the DIs, CCs, and SMPs in each lesson. Not only is every lesson in our program tied to one or more of the Big Ideas and their connections with one another, every lesson is also framed around these additional components. Each Lesson Overview centers around these questions:

Why? Why are students learning this content?

How? How are students grappling with the mathematical concepts?

What? What contexts encourage students to apply their knowledge?

Each of these questions maps to one of the additional aspects of the Mathematical Framework. Addressing the “Why?” grounds the lesson in one or more of the Drivers of Investigation. Focusing on “How?” encourages students to develop the habits of mind described by the SMPs, becoming explorers in mathematics rather than passive recipients. And maintaining attention on “What?” centers students and teachers on the precise mathematical topics that they are exploring aligned to the four Content Connections.

The Big Ideas and the conceptual and pedagogical shifts in the California Mathematics Framework reflect a shared goal to center education on student understanding. The Amplify Desmos Math California team is eager to support educators and students in their transition to conceptual understanding through our High-Quality Instructional Materials, professional development opportunities, and continued support.

Standards Maps

The links below provide the Standards Maps for Amplify Desmos Math California for each grade level.

Evaluation Criteria Map

Linked here is the Evaluation Criteria Map for grades K–8. Please note that you will need to be logged into the digital platform to access the links in the Evaluation Criteria Map.

Standards for Mathematical Practice

The links below provide the alignment of Amplify Desmos Math California to the Standards for Mathematical Practice at each grade level.

Big Ideas

Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons. Please refer to Keeping the Big Ideas at the Center (linked below) for specific lesson designs and alignment with the Big Ideas for each grade level.

Drivers of Investigation and Content Connections

Amplify Desmos Math California incorporates the Drivers of Investigation and Content Connection throughout the program. Throughout the year, students engage with open and authentic tasks of varying durations — from lesson activities to unit-level Explore lessons and longer course-level Investigations. Every lesson and investigation opportunity is grounded around the why, how, and what of the learning experience, and helps teachers bring mathematical concepts to life.

A three-column chart details: Drivers of Investigation, Standards for Mathematical Practice, and Content Connections, each with their respective codes and brief descriptions.

California English Language Development Standards

The links below provide the alignment of Amplify Desmos Math California to the California English Language Development Standards at each grade level.

California Environmental Principles and Concepts

Select lessons, performance tasks, and investigations across grade levels in Amplify Desmos Math California are aligned to one or more of the California Environmental Principles and Concepts. Click the links below to view how the California Environmental Principles and Concepts are represented in each grade level.

Contact us

For questions, samples, or more information, please contact your local Amplify Account Executive:

Erin King
Sales Director, CA
(512) 736-3162
eking@amplify.com
Northern CA
Wendy Garcia
Senior Account Executive
(510) 368-7666
wgarcia@amplify.com
Bay Area
Lance Burbank
Account Executive
(415) 830-5348
lburbank@amplify.com
Central Valley and Central Coast
Demitri Gonos
Senior Account Executive
(559) 355-3244
dgonos@amplify.com
Ventura and L.A. County
Jeff Sorenson
Associate Account Executive
(310) 902-1407
jsorenson@amplify.com
Orange and L.A. County
Lauren Sherman
Senior Account Executive
(949) 397-5766
lsherman@amplify.com
San Bernardino and L.A. County
Michael Gruber
Senior Account Executive
(951) 520-6542
migruber@amplify.com
Riverside and L.A. County
Brian Roy
Account Executive
(818) 967-1674
broy@amplify.com
San Diego County
Kirk Van Wagoner
Senior Account Executive
(760) 696-0709
kvanwagoner@amplify.com
Under 2300 students in Bay Area, Sacramento Valley, and Northern Counties
Kevin Mauser
Lead Account Executive
(815) 534-0148
kmauser@amplify.com
Under 2300 students in Southern CA, Central Coast, and Southern Central Valley Counties
Charissa Snyder
Account Executive
(720) 936-6802
chsnyder@amplify.com
 

Welcome, Central Kitsap, to Amplify Desmos Math!

Amplify Desmos Math K-5 thoughtfully combines conceptual understanding, procedural fluency, and application. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals.

Scroll to learn more about the program and explore sample materials.

About the program

We believe in math that motivates. Our structured approach to problem-based learning builds on students’ curiosity to develop lasting grade-level understandings for all students. 

The program motivates students with interesting problems they are eager to solve. Teachers can spend more time where it’s most impactful: creating a collaborative classroom of learners.

A powerful suite of math resources

Amplify Desmos Math combines the best of problem-based lessons, intervention, personalized practice, and assessments into a coherent and engaging experience for both students and teachers.  Feel free to explore our grade-level ancillary samplers to learn more about assessment and reporting, intervention, and differentiation:

Grade K Ancillary Sampler

Grade 1 Ancillary Sampler

Grade 2 Ancillary Sampler

Grade 3 Ancillary Sampler

Grade 4 Ancillary Sampler

Grade 5 Ancillary Sampler

A digital interface displays a math screener report on the left and a math problem involving division, alongside a visual representation of students lined up on the right, integrating rich math resources from Amplify Desmos Math.

Assessment

mCLASS® Assessments, along with daily formative checks, measure not only what students know, but how they think. The asset-based assessment system provides teachers with targeted, actionable insights, linked to core and intervention resources. Visit our mClass Math site to learn more.

Two side-by-side math activities for children: on the left, a caterpillar-themed block challenge, and on the right, a worksheet for finding pairs that sum to 10. These exercises are fantastic ways to amplify children's engagement with math concepts.

Core instruction

Amplify Desmos Math lessons pair problems students are eager to solve with clear instructional moves for teachers. With low-floor, high-ceiling tasks every student can actively participate and be a part of the math community. Unit- and lesson-level core assessments give teachers data at their fingertips to guide and differentiate instruction.

A math lesson screen shows a toy sinking 5 meters into a pool. A textbox asks how many centimeters that is, with space for an answer and a "Try again" button. An avatar explains the question, using Desmos math tools to amplify understanding.

Differentiation

Boost Personalized Learning activities help students access grade-level math through engaging, independent digital practice. Responsive Feedback adjusts to students’ work, providing item-level adaptivity to further support their learning and offer personalized differentiation. Visit our Boost Math site to learn more. 

Two pages from a New York math textbook on determining coordinates after a rotation. Includes sections on modeled review, guided practice, and teacher's notes, with diagrams and examples that amplify the learning experience.

Embedded intervention

Integrated resources like Mini-Lessons, Fluency Practice, and Math Adventures provide targeted intervention on a specific concept or skill connected to the daily lesson. Extensions are also available to stretch students’ understanding.

Multilingual Learners

To support multilingual/English learners, Amplify Desmos Math incorporates research-based Math Language Routines (MLRs) by providing language modality strategies like sentence frames where appropriate, both in the teacher language provided for each task and in the differentiation support section found throughout the program. For further information on math language development, please see pg. 82 of the Amplify Desmos Math Program Guide.

A male teacher in a red shirt explaining a lesson to a focused young female student in a classroom. other students are in the background.

Review Resources

To support your review of Amplify Desmos Math here are links to important K-5 review resources:

Two women in an office setting are smiling while looking at a tablet. Various educational icons surround the image.

K-5 sample materials

Click the links in the drop-down sections below to explore sample materials from each grade.  To see sample student responses, please click on the Teacher Edition pages and scroll to “Sample Student Work” (first one is about 30 pages in) or click on Intervention and Extension resources.   

For helpful navigation tips and more program information, download the Amplify Desmos Math Program Guide.

You can also watch a product expert walk through a lesson and the available program components.

Digital educational material showing an activity named "Hamster Homes" involving tube length and platform heights for a hamster cage. Includes a diagram with platforms measuring 9 inches.
Screenshot of a kindergarten curriculum outline featuring units like Math in Our World, Numbers 1-10, Positions and Shapes, Understanding Addition, Making 10, and Shapes All Around Us. This comprehensive program utilizes New York Math standards to build foundational skills.
Program structure

Get to know the content and structure of Kindergarten Amplify Desmos Math.

Cover of Amplify Desmos Math Grade K Teacher Edition featuring three children playing with math-related objects and a group of rabbits sitting nearby, aligning with the engaging curriculum seen in New York math classrooms.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Counting and Comparing Objects.

Educational activity screen displaying a blue backpack with icons, dot groups on the left, and a grid background. Prompt reads, "Look inside the backpack. Then choose the group with the same number of dots." A great tool to amplify Desmos math learning in line with New York math standards.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math has student print materials and digital recommendations.

Cover of "Amplify Desmos Math: Student Edition Kindergarten," featuring an illustration of three children playing with math-related toys. A group of small white animals, possibly hamsters, play nearby. The scene brilliantly captures the joy of New York math exploration for young learners.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of "Amplify Desmos Math Grade K Centers Resources" featuring a large, stylized red and pink "C" on a light pink background with simple geometric designs. This distinctive cover complements New York math curriculums with its engaging visual elements.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math: Grade K." The title is displayed with a geometric "I" illustration in the center. Subtitle reads "Intervention and Extension Resources" on a pink and white background, ideal for New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

A digital activity screen, crafted in the style of Amplify Desmos Math, shows two paths with different quantities of mushrooms. The user is prompted to choose the path with more mushrooms. A bear is on the left side of the screen.

In this lesson, students apply their understanding of how to compare groups of images as they determine which group has more or fewer and then compare their strategies by guiding a bear through a path that has more mushrooms than the other.

Grade 1 math curriculum overview displaying six units with instructional and assessment days: counting, addition, subtraction, numbers to 10, comparing numbers, measuring length, and geometry—aligned with the New York Math standards.
Program structure

Get to know the content and structure of Grade 1 Amplify Desmos Math.

Children interact with math activities on a large tablet while observing fish illustrations. The text reads "Amplify Desmos Math Grade 1 Teacher Edition, aligned with New York Math standards.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Story Problems in Maui.

A digital math exercise, amplified by Desmos Math, showcases a story problem about adding kalo plants with three illustrations and a filled-out number sentence 3 + 4 = 7. A "Check" button is present. This tool aligns perfectly with New York math standards.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math has student print materials and digital recommendations.

Illustration of three children engaged in math activities from the "Amplify Desmos Math: Student Edition 1" textbook. One child holds a number card, while the others manipulate counters and images, experiencing an exciting approach inspired by New York math techniques.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of "Amplify Desmos Math Centers Resources" for Grade 1, featuring a yellow and white 3D letter "C" on a light background.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math, Grade 1: Intervention and Extension Resources" depicting a large, blocky number one and a yellow-themed design. Ideal for enhancing New York math curriculum.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

An educational game screen, inspired by New York math standards, shows a subtraction problem, "4 - 1," with a frog moving along numbered lily pads to reveal the answer "3.

In this lesson, students find differences when subtracting 1 and 2 from the same number by helping a frog reach a lily pad where it can eat a bug.

A curriculum overview for Grade 2 in New York Math displaying 8 units, including topics like comparisons, addition, subtraction, and geometric shapes, with details on the number of instructional and assessment days. This plan integrates resources from Amplify Desmos Math to enrich learning experiences.
Program structure

Get to know the content and structure of Grade 2 Amplify Desmos Math.

Cover of the "Amplify Desmos Math" Grade 2 Teacher Edition, showcasing children measuring with rulers and a poster displaying a mathematical equation, set against whimsical scenery with a colorful dragon. Perfect for New York math classrooms.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Adding and Subtracting.

Activity screen displaying a task to estimate the number of animals in an aquarium, featuring a bar chart for goldfish, frogs, and shrimp. Utilizing Desmos math tools, an illustration of an aquarium with various animals is also included to amplify learning.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math has student print materials and digital recommendations.

Cover of "Amplify Desmos Math Student Edition 2" showing three children performing a New York math activity with blocks and measurements.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of an educational book titled "Amplify Desmos Math Grade 2 Centers Resources" featuring a green "C" on a light green background, perfect for enhancing New York math education.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math Grade 2: Intervention and Extension Resources" featuring a green numeral 1 on a light green background, aligning with the New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

An educational activity where users must select the block with the correct number to make a total of 10 using the given block numbers. The UI, inspired by New York math standards, features a caterpillar and two tree stumps to amplify engagement with Desmos Math tools.

Students continue to develop fluency by finding the number that makes 10 by helping a millipede reach its favorite food – a clump of leaves!

An educational curriculum outline for Grade 3 with seven units covering various mathematics topics, including multiplication, shapes, fractions, and measurement. Suggested instructional days are provided. The New York Math approach ensures a thorough understanding of each concept.
Program structure

Get to know the content and structure of Grade 3 Amplify Desmos Math.

Cover of a "Grade 3 Amplify Desmos Math Teacher Edition" book, featuring a cutaway building with diverse students and a teacher working on New York math problems and organizing materials.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Concepts of Area Measurement.

Educational software displays a challenge to determine the area of an unpainted wall. The wall features a door and window with given dimensions, and a mouse pointer hovers near the question, amplifying the student's engagement.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math has student print materials and digital recommendations.

Cover of "Amplify Desmos Math Student Edition 3" showcasing illustrated children engaged in various mathematical activities inside a glass house structure, reflecting the dynamic energy of New York math.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of the Amplify Desmos Math Grade 3 Centers Resources book, featuring a 3D letter "C" in blue and white on a minimalistic background, perfect for aligning with New York math standards.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of an "Amplify Cover of the "Amplify Desmos Math" Grade 3 book featuring intervention and extension resources, with a blue geometric "I" on a light blue background, aligning with New York Math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

A page titled "Activity 2" features a table showing counts of rabbits, raccoons, and foxes, an image of animal stickers, and a bar graph representing the number of each animal, designed to amplify your New York math lesson with engaging visual data.

Students compare data represented on bar graphs with different scales by using animal stickers to create scaled bar graphs.

A course outline for Algebra 1 with 8 units, each detailing the number of instructional and optional days. The total suggested instructional days are 144 and 28 optional days, aligning with New York Math standards.
Program structure

Get to know the content and structure of Grade 4 Amplify Desmos Math.

Cover of "Amplify Desmos Math: Teacher Edition Grade 4" showing children learning New York Math outdoors, using large mathematical tools and numbers, with one child in a wheelchair.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Size and Location of Fractions.

Educational screen showing an interactive activity from Amplify Desmos Math where a user drags a point to cut a log into quarters. The progress is 2 out of 10.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math has student print materials and digital recommendations.

Cover of "Amplify Desmos Math, Student Edition, Grade 4," showcasing students collaborating on math problems involving shapes and numbers against a vibrant backdrop that blends cityscapes and natural scenery, capturing the essence of New York math learning.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of the "Amplify Desmos Math" Grade 4 Centers Resources book, featuring a large, stylized blue letter "C" on a light blue background. This essential resource for New York math educators ensures engaging and effective instruction.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math, Grade 4: Intervention and Extension Resources," featuring a geometric illustration and a blue and orange color scheme inspired by New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Interactive educational activity asking users to determine platform heights using a 3-inch tube. The interface, inspired by Desmos math tools, features a dragging function and feedback system with a checkbox and "Try another" option, amplifying the learning experience.

Students choose tube lengths to connect to platform heights for hamster homes, identifying possible heights using what they know about multiples.

A Grade 5 curriculum scope and sequence chart with units covering volume, fractions, multiplication, shapes, place value, and measurement. Each unit lists instructional and assessment days to amplify Desmos Math activities.
Program structure

Get to know the content and structure of Grade 5 Amplify Desmos Math.

Illustration of three students engaging with various math activities outdoors and around large blocks. Text at the top reads "Amplify Desmos Math, Grade 5, Teacher Edition" - a perfect resource for New York math educators.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Fractions as Quotients.

A digital activity prompt showing a scenic landscape with bamboo shoots and a panda. Using Desmos math tools, the task is to estimate the length where the third bamboo shoot should be placed for the panda to reach a leaf. This exercise is designed to amplify your understanding of spatial reasoning.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math has student print materials and digital recommendations.

Cover of "Amplify Desmos Math: Student Edition, Grade 5" featuring students engaged in various mathematical activities outside, such as block building, measuring, and gardening—a perfect resource aligning with New York math standards.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover image of "Amplify Desmos Math Grade 5 Centers Resources" featuring a large purple letter C on a light purple background, showcasing the innovative approach of Amplify Desmos Math that's making waves in New York math education.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math Grade 5: Intervention and Extension Resources," featuring a large, stylized number five in purple against a light purple background with minimal geometric patterns, ideal for New York math curriculum support.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

An interactive screen showing an activity about decomposing a figure into prisms, with a touch of Desmos Math integration. The user is asked to drag points to demonstrate the decomposition. Two prism illustrations are displayed, offering a glimpse of New York Math's approach.

Students decompose a figure into rectangular prisms and determine the volume of the figure by adding the volumes of the individual prisms.

Contact Us

If you have any questions throughout your review process or need additional samples, please don’t hesitate to contact:

Alicia O’Neil

Account Executive

425-890-6103

aoneil@amplify.com

Request additional samples

Ready to learn more? Connect with an Amplify Desmos Math expert to request additional program samples.

Oregon Math State Review for 9–12

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Oregon Math State Review for 6–8

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South Carolina review for grades K–5

Thank you for taking the time to review Amplify’s CKLA resources for K–5.

Amplify Core Knowledge Language Arts (CKLA) is a cutting-edge and effective core literacy resource for students in grades K–5. It was developed in partnership with the Core Knowledge Foundation, was specifically designed to help teachers implement Science of Reading principles, and features proven evidence-based instructional practices.

Illustration of a diverse group of people engaged in creative activities, including a woman holding architectural plans and a young girl reading a book.

Getting started

On this site, you’ll find a variety of resources designed to support your review and evaluation of the program. Before you start scrolling, watch the video below to learn about CKLA’s alignment to South Carolina literacy initiatives and what included in your physical samples.

South Carolina review documents

SC CKLA Program Guide

CKLA Research Guide

CKLA Assessment Brochure

SC College and Career Readiness Correlations K-5:
Please use the provided Amplify credentials to access the CKLA content cited below.

Each Skills unit or Knowledge domain is linked to its corresponding Teacher Guide. The bolded lessons are linked to lesson segments or direct examples of the SC College- and Career-Readiness standards expressed in the Amplify CKLA South Carolina Edition Teacher Guides.

SC Instructional Strategies & Routines K-5

SC CKLA Navigation Guide

Scope and Sequence

K Skills Scope and Sequence
K Knowledge Scope and Sequence

1st Skills Scope and Sequence
1st Knowledge Scope and Sequence

2nd Skills Scope and Sequence
2nd Knowledge Scope and Sequence

3rd Scope and Sequence

4th Scope and Sequence

5th Scope and Sequence

What is Amplify CKLA K-5?

In the video below, Amplify’s Chief Academic Officer Susan Lambert shares the big picture of CKLA, and explains why it was created and the impact it’s making across the country.

How does CKLA work?

Through a unique, evidence-based two-strand approach, Amplify CKLA helps students master foundational skills and build a robust knowledge base–both of which are necessary for accessing and comprehending complex texts.

Grades K–2: Dedicated knowledge building and explicit skills instruction
Every day, students in Grades K–2 complete one full lesson that builds foundational reading skills in the Amplify CKLA Skills Strand, as well as one full lesson that builds background knowledge in the Amplify CKLA Knowledge Strand. Through learning in each of these strands, students develop the early literacy skills necessary to help them become confident readers and build the context to understand what they’re reading.

Grades 3–5: Integrated instruction
In Grades 3–5, Knowledge and Skills are integrated in one set of instructional materials. Lessons begin to combine skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis. Students can then use their skills to go on their own independent reading adventures.

Why review CKLA K-5?

Built out of the latest research in the Science of Reading, Amplify CKLA delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades K–2 with an integrated approach to explicit instruction in grades 3–5.

Review this Science of Reading toolkit to learn more about the Science of Reading best practices integrated throughout CKLA.

Students build grade-appropriate subject-area knowledge and vocabulary in history, science, literature, and the arts while learning to read, write, and think creatively and for themselves. Our instruction is supported by:

  • Knowledge builders that provide a quick overview of each domain with its key ideas.
  • Interactive Read-Alouds designed to build knowledge and vocabulary.
  • Content-rich anchor texts that support students as they tackle increasingly complex text and sharpen their analytical skills.
  • Social and emotional learning paired with lessons in civic responsibility.

Amplify CKLA provides built-in differentiation strategies in every lesson for all students,
including supports for Multi Language Learners.

  • Access supports for Multi Language Learners—Integrated ELD supports in each lesson segment
    for Multi Language Learners are specific to students’ mastery of the lesson’s objectives.
  • Support and Challenge for all learners—Lessons include Support and Challenge suggestions that provide assistance or opportunities for more advanced work toward the goal of the lesson. These supports are suitable for all learners, including ELLs.
  • 30 minutes of Additional Support in every Skills lesson–In the Skills Strand, every lesson concludes with an Additional Support section of recommendations for 30 minutes of extended instruction and activities, directly aligned to the skills taught in the lesson to assist students who need more support in mastering the lesson’s objectives.
  • Intervention Toolkit–The Intervention Toolkit provides easy-to-use resources to assist teachers in filling gaps in students’ foundational skills. Teachers will find of hundreds of activities to support phonics, fluency, comprehension, handwriting, and other key skills.

The slides-based Amplify CKLA digital experience enhances instruction while saving you time. Everything you need is all in one place, making it easier than ever to plan lessons, present digital content, and review student work.

  • Simplify planning and instruction–Teachers have access to ready-to-use and customizable lesson presentation slides, complete with all the prompts from the print Teacher Guide embedded in the teacher view. As teachers deliver each lesson, students can engage with the content in one cohesive
    experience—through Activity Books, slides, digital components, videos, Student Readers, and more.
  • Interactive student activities–Through the Student Home, students can easily access digital lessons with slides, Activity Pages, ebooks, videos, and other interactive resources from one simple dashboard.
  • Your teacher command center–You’re provided with the tools you need to ensure a productive digital experience that’s personalized to meet your students’ needs. This includes a teacher home from which to launch and track lessons, LMS integrations such as Google Classroom and Microsoft Teams, and other customizations based on classroom needs.
  • Get real-time insights into your students’ work–The innovative live review tool enables you to keep an eye on students drawing, recording audio, uploading and capturing images, and typing or writing in pre-placed text boxes in their Activity Pages.

Digital navigation walkthrough

Access the resources

Ready to explore as a teacher? Follow these instructions:

Ready to explore as a student? Follow these instructions:

Amplify literacy success K-8

See our Science of Reading solutions in action! Click here to see a real example of how one Ohio district is implementing and educating their K–8 community on the Science of Reading as a response to Ohio’s Plan to Raise Literacy Achievement Initiative.

Welcome, Granite SD, to Amplify CKLA!

Thank you for taking the time to review Amplify’s core ELA program for K–5. Amplify Core Knowledge Language Arts® (CKLA) is a state-approved core ELA curriculum designated as a primary core program that fully meets the Science of Reading requirements outlined in SB 127.

Amplify CKLA, developed in partnership with the Core Knowledge Foundation, was designed to help teachers implement Science of Reading principles and evidence-based instructional practices. Scroll down to learn how CKLA is uniquely designed to help all your students make learning leaps in literacy.

Step 1: Program Introduction

Welcome to Amplify CKLA! Before you dive into our materials, watch the video below to learn about the big picture behind Amplify CKLA’s pedagogy.

In this video, Susan Lambert (Chief Academic Officer and host of Science of Reading: The Podcast) shares why Amplify CKLA was created, how it is built on the Science of Reading, and the impact it’s making across the country.

Step 2: Program Overview

Amplify CKLA is different for a reason. Watch the overview video below to learn about these differences and why educators love them.

In this video, you’ll get an in-depth look at the program’s overall structure and organization, the design behind our proven lessons, and the materials included to support teaching and learning.

The Amplify CKLA Program Guide also provides an in-depth view of how Amplify CKLA works, how it’s structured, and why it’s uniquely capable of helping you bring reading instruction based on the Science of Reading to your classroom.

Evidence-based design

Amplify CKLA is rooted in Science of Reading research. Mirroring Scarborough’s Rope, Amplify CKLA delivers a combination of explicit foundational skills with meaningful knowledge-building.

  • In Grades K–2, dedicated knowledge-building and explicit skills instruction are taught simultaneously through two distinct instructional strands.
  • In Grades 3–5, dedicated knowledge-building and explicit skills instruction are woven together and delivered through one integrated strand.

Grades K–2 Skills and Knowledge Strands
Every day students in Grades K–2 complete one full lesson that explicitly and systematically builds foundational reading skills in the Skills Strand, as well as one full lesson that builds robust background knowledge to access complex text in the Knowledge Strand. Through learning in each of these strands, students develop the early literacy skills necessary to help them become confident readers and build the context to understand what they’re reading.

Grades 3–5 Integrated Strand
In Grades 3–5, Knowledge and Skills are integrated in one set of instructional materials. Lessons begin to combine skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis. Students can then use their skills to go on their own independent reading adventures.

Key features

For each Amplify CKLA key feature below, click the drop down arrow to learn more.

Built out of the latest research in the Science of Reading, Amplify CKLA delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades K–2 with an integrated approach to explicit instruction in grades 3–5.

Review this Science of Reading toolkit to learn more about the Science of Reading best practices integrated throughout CKLA.

Amplify CKLA aligns with the instructional principles recommended by Orton Gillingham and LETRS.

  • Structured–Concepts are taught through consistent routines
  • Sequential–Concepts are taught in a logical, well-planned sequence
  • Systematic–Phonemes are taught from simplest to most complex
  • Explicit–Decoding and encoding concepts are taught directly and explicitly
  • Multi-sensory–Instruction is delivered through visual, auditory, and kinesthetic-tactile pathways
  • Cumulative–Concepts are applied in decodable, connected texts with constant review and reinforcement

Watch this video to learn more!

Additionally, great reading instruction starts with helping kids develop great decoding skills. Our instruction is supported by:

The Science of Reading reveals knowledge as an essential pillar of reading comprehension and lifelong literacy. Hear from author Natalie Wexler and CKLA customers on edWebinar about the importance of knowledge-building in reading instruction.

Students build grade-appropriate subject-area knowledge and vocabulary in history, science, literature, and the arts while learning to read, write, and think creatively and for themselves. Our instruction is supported by:

  • Knowledge builders that provide a quick overview of each domain with its key ideas.
  • Interactive Read-Alouds designed to build knowledge and vocabulary.
  • Content-rich anchor texts that support students as they tackle increasingly complex text and sharpen their analytical skills.
  • Social and emotional learning paired with lessons in civic responsibility.

Amplify CKLA not only received an all-green rating from the rigorous evaluators at EdReports, but it was also recently recognized by the Knowledge Matters Campaign as a high-quality literacy program that excels in building knowledge. Our shared message: background knowledge is essential to literacy and learning.

Student-led reading practice should be purposeful and connected to the core. That’s why Amplify createdBoost Reading. As an optional add-on to Amplify CKLA, students have the opportunity to practice skills directly tied to the skills they’ve been working on during core reading time. Boost Reading also adapts to each student to address their personal gaps and bolsters foundational skills at a pace that supports their individual development.

Boost Reading’s collection of 40+ adaptive games target foundational reading skills and develops them in alignment with Science of Reading principles. Unlike other adaptive games, we ensure students:

  • Practice the right skills at the right time. Our embedded placement tool ensures students receive the content and skill practice most appropriate for their current reading level. From there, students move through our curriculum along their own learning pathway where they encounter personalized content tailored to their evolving skill and grade levels.
  • Progress along a pathway that adapts on multiple dimensions, not just one. For example, a student can work on early first-grade decoding in one game while building more advanced vocabulary knowledge in another.
  • Practice skills in tandem. For example, a student is never forced to master one skill area before proceeding to the next. Instead, we offer students that opportunity to work on multiple skills concurrently.
  • Feel supported with scaffolding, instruction, and practice that adapts based on student performance.
  • Stay engaged by giving them immediate and clear feedback. These results are never punitive. Instead our always-positive feedback is delivered in the context of the game world and is designed to motivate students to keep trying.

Click the buttons below to learn more:

Step 3: Program Resources

Easy-to-use print materials

Amplify CKLA’s easy-to-use materials bring foundational skills and knowledge to life in the classroom.

Download the Amplify CKLA Components guide to see components by grade and watch the print materials walkthrough below.

Engaging CKLA digital experience

The top-rated content of Amplify CKLA is now live with the digital experience that enhances instruction and saves time.

With the digital experience, everything is in one place, making it easier and more engaging than ever to plan lessons, present digital content, and review student work. Click the arrows below to learn more.

With the digital experience, teachers have access to ready-to-use and customizable lesson presentation slides, complete with all the prompts from the print Teacher Guide embedded in the teacher view. As teachers deliver each lesson, students can engage with the content in one cohesive experience—through these CKLA resources: Activity Books, slides, digital components, videos, Student Readers, and more.

The innovative live review tool found in the digital experience enables you to keep an eye on all of your students as they work on drawing, recording audio, uploading and capturing images, and typing or writing in pre-placed textboxes in their Activity Pages. This dynamic tool provides countless classroom management benefits, enabling you to spot and correct common mistakes as they’re happening, praise your students for thoughtful work, and identify students who are not engaged in the task at hand. Simply put, it will give you those valuable “eyes in the back of your head” you’ve warned your students about!

The digital experience integrates with various LMSs, allowing you and your students to access Amplify CKLA with the software you’re already comfortable using.

In the Amplify CKLA student digital experience, your students have one intuitive access point to fully engage with classroom instruction. Through the Student Home, students can easily access digital lessons with slides, Activity Pages, ebooks, videos, and other interactives from one simple dashboard. Students can draw, record audio, upload and capture images, and type or write in pre-placed text boxes in their Activity Pages.

CKLA review resources

Step 4: State Review Resources

Step 5: Program Access

Explore as a teacher

Before logging in, watch this brief video on navigating the CKLA Teacher Platform.

Ready to explore as a teacher? Follow these instructions:

  • Click the Amplify CKLA Teacher Platform button below.
  • Select Log in with Amplify.
  • Enter the teacher username: t1.graniteckla@demo.tryamplify.net
  • Enter the teacher password: Amplify1-graniteckla
  • Choose CKLA from the “Your Programs” menu on Educator Home.
  • Select a grade level from the drop-down menu at the top of the page.

Achieve life-changing results with the
Science of Reading—we’ll show you how.

Watching students learn to read is magic. But knowing how they get there? That’s science.

Making the shift to the Science of Reading is commendable, but it is no small feat. Our extensive experience, field-tested resources, and stories of literacy success will help you deliver the true transformation you need in your district—and see the results your students deserve.

An illustration of a brain with superimposed images: handwriting, cursive letters, and the words "once upon a time" arranged in a sequence.

Exploring the Science of Writing

Discover the captivating journey of writing with our new guide, Science of Writing: A Primer. This resource delves into the history of writing, highlights the crucial link between combining reading and writing instruction, and reveals why handwriting still matters in today’s digital world. Designed to complement CKLA 3rd Edition and our other literacy tools, this primer is set to become a trusted companion, just like those before it.

MTSS Playbook

Explore our new ebook designed to help you build an evidence-based Multi-Tiered System of Supports (MTSS) tailored to diverse literacy goals. This resource provides actionable steps and essential questions to fortify your MTSS with the Science of Reading, enhancing its effectiveness and achieving better outcomes for your students.

Woman and child smiling while reading a book, with colorful cartoon animals in the background.
Cover of a "Change Management Playbook" guide, featuring two women reviewing a tablet and a teacher in an orange sweater instructing a classroom—highlighting K–5 literacy instruction and effective science of reading resources.

The science of teaching reading, coupled with the art of change management

Shifting to the Science of Reading isn’t just an overnight curriculum swap—it’s a profound culture change with multiple stages and stakeholders. We’ve helped educators succeed in that shift for years, and now we’re here to guide you every step of the way. Through each stage of implementation, our Change Management Playbook will help you mobilize your practice, process, and people to make the shift that matters most.

What is the Science of Reading?

Learning to read is not innate, but it can be taught—and science tells us how. The Science of Reading refers to the vast body of growing research that deconstructs how children learn to read, and the instructional practices that can get them there.

Reading fluency requires a complex combination of skills, taught explicitly and systematically. There are two main frameworks that can help us break it all down: The Simple View of Reading and Scarborough’s Rope.

Two schoolgirls in green uniforms look at a notebook together in a classroom. Science of Reading and book icons are overlaid on the image.
Cover of a guide titled "Science of Reading: A New Teacher’s Guide" by Amplify, featuring a teacher with two children and educational icons.

Science of Reading starter kit for new teachers

New to the classroom? We’ve compiled a collection of resources and insights about the Science of Reading to help you acquire more knowledge and build confidence. You’ll find the tools, information, and support you need to foster successful readers and writers in your classroom this school year—and beyond.

The Simple View of Reading

The Simple View of Reading, formulated by Philip Gough and William Tunmer in 1986, is the theory that proficient reading requires two main components:

Flowchart illustrating skilled reading as the product of language comprehension and word recognition, grounded in the science of reading.
A diagram with intertwining orange, yellow, and blue lines converging and diverging, illustrating interconnected pathways on a black background—reflecting the dynamic flow of ideas found in Core Knowledge or Amplify CKLA curricula.

The Reading Rope

The Reading Rope, developed by Dr. Hollis Scarborough in 2001, helps us visualize the strands of specific skills and instruction that support students in decoding and comprehension.

Professional development to support your shift to the Science of Reading

Ignite literacy transformation with Amplify’s Science of Reading: The Learning Lab—an inspiring three-course series.

  • Dive into a comprehensive overview with course one, Foundations to the Science of Reading.
  • Examine assessments and their roles in course two, Advanced Topics in the Science of Reading: Assessment and Reading Difficulties.
  • Apply effective literacy instruction to your classroom in course three, Applied Structured Literacy.

Crafted to the standards of the International Dyslexia Association, this self-paced online series provides unparalleled, research-backed instruction. Explore enriching activities, curated resources, and learn from Susan Lambert, chief academic officer and host of Science of Reading: The Podcast.

The best investment you can make is in knowledge, and the returns are priceless.

Illustration of a webpage titled "Science of Reading: The Learning Lab series" with icons of a book, paper, and other subjects below the title.

Learn more about the online courses or request a quote!

Two labeled course cards: "Course 1: Foundations to the Science of Reading" and "Course 2: Advanced Topics in the Science of Reading," with a shopping cart icon in the top right.

Tap into individual online course seats.

Science of Reading podcast cover image open book

Science of Reading: The Podcast

Tune in to hear the latest insights and trends in early reading, right from leading literacy experts and practitioners.

Listen now

Build your background knowledge of the Science of Reading.

Our Science of Reading principles and primers explain the essentials: what the Science of Reading is, how it works, and why it matters for every student.

An infographic titled "Science of Reading principles" showcases ten evidence-based K–5 literacy instruction strategies, informed by interdisciplinary research, in color-coded boxes with a "NEW" badge in the top right corner.

New Science of Reading principles placemat!

Decades of research inform the updated Science of Reading principles placemat. Use these insights as a guide for evidence-based literacy instruction—perfect for committed educators aiming to achieve real improvements in student reading outcomes.

Download principles

An illustration of a girl running with a colorful kite, with text reading "Science of Reading: A Primer | Part One" and "Amplify" in the top left corner, highlighting K–5 literacy instruction.

Science of Reading
A Primer: Part 1

In part 1 of our definitive Science of Reading primer, we discuss literacy as a societal goal, walk you through how the brain learns to decode and comprehend text, and present the patterns that top-performing schools and districts follow to achieve early reading success.

Download primer 1

Illustration of two people atop a yellow pyramid, with text reading "Science of Reading: A Primer | Part Two"—an engaging look at K–5 literacy instruction. "Amplify" appears in the top left corner.

Science of Reading
A Primer: Part 2

In part 2 of our Science of Reading primer, we establish the importance of prior knowledge for comprehension, lay out the process of micro-comprehension, and demonstrate how literacy skills build on and accelerate themselves.

Download primer 2

A woman with long dark hair smiles in front of a plain background, reflecting the joy she finds in interdisciplinary research. She is wearing a dark green top and earrings.
“If you’re looking for a Science of Reading training, the [Science of Reading: Foundations to the Science of Reading] online course is great. It helps you build background knowledge on learning how students learn how to read, and then it goes deeper and it gives you strategies that correlate with those findings that you can implement right into your classroom.”

—Allie Appel, Instructional Coach

School District of Arcadia, WI

Why undertake this crucial change?

When we bring proven methods based on the Science of Reading into schools, we make sure kids are learning to read and help teachers and caregivers support a culture of reading. Together, we can solve the reading crisis and make literacy a reality everywhere.

You’ll change lives with literacy.

According to the National Assessment of Educational Progress (NAEP), only 35% of fourth graders in the United States are proficient in reading. But schools using a Science of Reading approach have seen significant improvements in literacy rates. Using research-based methods, educators can help give all children the chance to become successful readers.

Young boy in a classroom sits at a desk and writes on a worksheet, with other children working at nearby desks in the background.
A laptop screen displaying a literacy intervention game with a cartoon llama in a desert setting and a word selection task presented to a child’s avatar in the corner.

You’ll build a foundation with explicit, systematic skills instruction.

Reading skills don’t come naturally. We actually need to rewire our brains with intentional, structured literacy instruction—starting with sounds.

You’ll improve outcomes with knowledge building.

Longitudinal research shows that knowledge building doesn’t just happen as a result of reading, but is also a vital prerequisite for and component of it. And when delivered intentionally and systematically, knowledge delivers literacy results.

Illustration depicting diverse people engaged in various activities, including astronauts in space, a musician engaged in interdisciplinary research, and a child drawing, set against a whimsical celestial backdrop.
A person with long braided hair, wearing oversized glasses, earrings, a necklace, and a red top, smiles at the camera against a plain background.
“It’s not just about the curriculum. It’s about the science behind how people, how children, and how we as humans learn to read… It’s working. I wish I had this years ago. ”

—Javonna Mack, Lead Content Teacher

Caddo Parish Schools, Louisiana

Science of Reading & Early Literacy Resources FAQ

Amplify understands that making the shift to the Science of Reading is no small feat. Get some early literacy resources and guidance with our Science of Reading FAQ.

Learning to read is not innate. It needs to be taught intentionally and systematically—and science tells us how. The vast and growing body of research on early literacy is referred to as the Science of Reading. It draws on extensive research in cognitive science, linguistics, and neuroscience. It emphasizes the systematic teaching of foundational skills—such as phonics, phonological awareness, and decoding—in building vocabulary and comprehension. In other words, it deconstructs the processes behind how children learn to read, and provides evidence for the instructional practices and early literacy resources that can get them there.

Read more 

The Science of Reading refers to the pedagogy and practices proven by extensive research to effectively teach children how to read. It places a strong emphasis on both components of the Simple View of Reading, demonstrating that systematic and explicit instruction in phonics and and intentionally sequenced knowledge building are critical to reading success.

In a balanced literacy environment, learning happens through reading and writing immersion, where the need for explicit instruction in phonics is recognized but is not the primary focus.

The key difference between the approaches lies in their emphasis on foundational reading skills and a coherent approach to building language comprehension.

A balanced literacy approach typically includes a combination of whole language approaches (emphasizing meaning and context) and phonics instruction. Balanced literacy instruction is designed to be flexible and open to interpretation by the instructor. It may include the three-cueing system, which encourages students to rely on syntactic and semantic clues in a text to read an unfamiliar word, rather than decoding (Does it look right? Does it sound right? Does it make sense?). Balanced literacy practitioners may also use leveled reading to differentiate instruction, which can can limit vocabulary exposure, hinder in-depth comprehension skills, and further widen achievement gaps.

Balanced literacy has long been a popular approach to reading instruction, with educators appreciating its openness to variation. But advocates for the Science of Reading argue that an evidence-based approach aligned with known cognitive processes and a focus on foundational skills and language comprehension provides the most solid foundation for reading instruction—for confident and struggling readers alike.

Read more

According to our friends at The Reading League, the Science of Reading is important not because it gives us an effective way to teach reading, but because it gives us the most effective way to teach reading.

“The Science of Reading is critical because it emphasizes evidence-based instruction. Decades of scientific research on reading have consistently shown the most effective ways to teach reading. The Science of Reading incorporates this research, which includes phonemic awareness, phonics, fluency, vocabulary, and comprehension.”

The Reading League also takes it to the next level: What happens when all children have access to the most effective early literacy and reading education? “We believe in a future where a collective focus on applying the Science of Reading through teacher and leader preparation, classroom application, and community engagement will elevate and transform every community, every nation, through the power of literacy.”

The Science of Reading has identified five foundational reading skills that are considered crucial for early reading development. One of those skills is phonics. In other words, the Science of Reading has established that phonics are crucial, but the Science of Reading is not the same as phonics.

Phonics instruction helps students learn how to sound out and blend letters to read words accurately. As we know from the Simple View of Reading, two fundamental skills are required for reading with comprehension:

  1. Decoding—the ability to recognize written words (via phonics)
  2. Language comprehension—understanding what words mean

And the Science of Reading also reminds us that students do not have to learn phonics or decoding before knowledge comes into the equation. “The background knowledge that children bring to a text is also a contributor to language comprehension,” says Sonia Cabell, Ph.D., associate professor at Florida State University’s School of Teacher Education, on Science of Reading: The Podcast.

The Science of Reading is an evolving field built on decades of high-quality, evidence-based research that continually integrates new insights gathered from cognitive neuroscience, psychology, and linguistics. These ongoing studies constantly refine our understanding of how the human brain processes language and learning, enabling more personalized and effective teaching strategies that can adapt to the wide-ranging learning needs of students.

Like other sciences such as medicine, astronomy, or engineering – new advancements in reading technology allow us to understand how the brain works and refine our practices. Every scientific advancement in this field of reading science deepens our comprehension of reading-related challenges like dyslexia and informs the development of evidence-based interventions. We don’t believe that the Science of Reading can be reduced to a fad or trend. Rather, it is a continually evolving, enduringly effective discipline, grounded in rigorous research and driven by the quest for better comprehension of how we read and learn.

Assessment grounded in the Science of Reading can help identify children at risk of dyslexia at the earliest possible moments, creating the widest opportunity for intervention.

People with dyslexia often experience challenges in phonological awareness. They may struggle to break down words into their component sounds and to recognize the relationships between letters and sounds. Systematic and explicit instruction in phonics and phonological awareness can help individuals with dyslexia develop necessary phonological skills. This evidence-based instruction can also help students who have difficulty with decoding.

Further, evidence-based comprehension instruction, including explicit instruction in vocabulary and comprehension strategies, can support students with dyslexia in understanding and making meaning from text.

Download our free dyslexia toolkit

The Science of Reading can be integrated with a Multi-Tiered System of Supports (MTSS) to provide comprehensive and targeted reading instruction for all students. The Science of Reading aligns with a tiered model by providing evidence-based practices for instruction at each tier. An MTSS includes universal screening to identify students at risk of reading difficulties; the Science of Reading can also guide the selection of screening measures to assess specific foundational skills. Aligning the Science of Reading with an MTSS framework can also enhance instructional practices and interventions, ensure data-driven decision making, and help meet the needs of all students.

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Integrating the Science of Reading and the Science of Writing strengthens our approach to teaching literacy. Reading and writing are interdependent. Understanding how sentences are built not only contributes to better reading comprehension, it also helps writers develop clear, logical text. As students grow as readers, they also grow as writers, leading to a comprehensive literacy education. Clear thinking and effective writing are crucial for expressing ideas. By fostering both skills, teachers better support students in becoming confident readers and writers, prepared for academic challenges and beyond.

One of the research-based frameworks used in the Science of Reading is the Simple View of Reading. According to the Simple View, two cognitive capacities are needed for proficient reading: (1) understanding the language (comprehension) and (2) recognizing words in print (decoding). A true Science of Reading program is designed from the start for students to build these skills, in a developmentally appropriate way.

It will also emphasize the importance of knowledge building by exposing students to a diverse array of new topics spanning history, science, and literature, organized intentionally and coherently within and across grades. Deep and intentionally sequenced knowledge domains will help build a student’s vocabulary and understanding of complex texts. And it will include instruction in  all five foundational skills: phonics, phonemic awareness, vocabulary, fluency, and comprehension.

Download our free ebookScience of Reading: Making the Shift, which includes a checklist of what to look for in a curriculum based on the Science of Reading. Learn more from our friends at The Reading League.

Actually, we have a full literacy suite built on the Science of Reading! It includes:

  • mCLASS® assessment, powered by DIBELS® 8th Edition, a gold-standard universal and dyslexia screener, plus a progress monitoring tool, all in one.
  • Amplify Core Knowledge Language Arts (CKLA), which provides explicit, systematic foundational skills instruction combined with intentional knowledge building.
  • Boost Reading, a highly adaptive personalized reading program that reinforces the core curriculum and supports enrichment, remediation, and intervention for each student in your classroom.
  • mCLASS Intervention, a staff-led intervention program targeted to Tiers 2 and 3, made easy with automatic data-driven grouping and sequenced explicit, systematic skills lesson plans to support at-risk students.

Reading requires deliberate, systematic attention—and so does shifting to the Science of Reading in your school or district. It requires not only the right curriculum, but also all-new mindsets, metrics, and more. Reflecting years of experience supporting real educators, our resources will walk you through the process of change management in your community—and show you why the shift is worth it. View our Science of Reading change management playbook.

What’s New for Amplify Science 6–8!

Denver Public Schools (DPS), check out what’s new from Amplify Science 6-8!  The first part of this site will take you through the updates that have been made to Amplify Science. The second will be a refresher of Amplify Science for any new users in DPS. With Amplify Science, DPS students don’t just passively learn about science concepts. Instead, they take on the role of scientists and engineers to actively investigate and figure out real-world phenomena. With culturally sustaining pedagogy, Amplify Science strives to make sure every student feels included in the science classroom.

Two students collaborating on a project using a laptop in a classroom filled with other students working in the background.

Update: The Digital Experience

The digital experience allows students to engage with digital lessons and provides teachers with everything they need in one place—ready-to-use slides-based lessons, seamlessly integrated teacher prompts and guidance, robust PD resources, and more. It’s now easier and more engaging than ever to plan lessons, present digital content, and review student work. To learn more, click here.

Update: The PD Library

All professional development (PD) content is consolidated into the PD Library, a one-stop hub for all your self-paced PD needs. As a result, the “Professional Learning Resources” tile will no longer be available on the main Amplify Science Program Hub page. The rest of the non-PD content in the Program Hub will remain as is, including the on-demand resources.

Update: Educator & Student Home expansion

Educator and Student Home landing pages will now be available for all Amplify Science users. This Home page provides a central location to access all Amplify programs in one place and a customized stream based on your activity.

Your Amplify Science grades 6–8 students will no longer access My Work for assignments, scores, and teacher feedback. Instead, they’ll find it all on Student Home, the page they already land on when logging in to Amplify Science.

Keep in mind: Amplify Science middle school teachers will continue to have access to Classwork.

Update: Caregiver Hub

Throughout the school year, teachers can share the Amplify Science Caregiver Hub with students’ families. This site provides curriculum details, an overview of what caregivers can expect throughout the school year, and resources they can use with students at home.

What is Amplify Science?

The Lawrence Hall of Science

Developed by the science education experts at UC Berkeley’s Lawrence Hall of Science and the digital learning team at Amplify, our program features:

  • phenomena-based approach where students construct a complex understanding of each unit’s anchor phenomenon.
  • A blend of cohesive storylines, hands-on investigations, rich discussions, literacy-rich activities, and digital tools.
  • Carefully crafted units, chapters, lessons, and activities designed to deliver true three-dimensional learning.
  • An instructional design that supports all learners in accessing all standards.
Aerial view of the lawrence hall of science at the university of california, berkeley, showcasing the building and surrounding trees with a foggy city backdrop.

Proven to work

WestEd Randomized
Control Trial for Grade 1

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WestEd Randomized
Control Trial for Grade 7

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Amplify Science NE
Grades K–5

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Instructional model

The Amplify Science program is rooted in the proven, research-based pedagogy of Do, Talk, Read, Write, Visualize. Here’s how each element works:

Do

First-hand investigations are an important part of any science classroom, and Amplify Science has students getting hands-on in every unit—from building models of protein molecules to experimenting with electrical systems.

Talk

Student-to-student discourse and full-class discussions are an integral part of the program. Students are provided with numerous opportunities to engage in meaningful oral scientific argumentation, all while fostering a collaborative classroom environment.

Read

Students read scientific articles, focusing their reading activities on searching for evidence related to their investigation and, importantly, on asking and recording questions as they read through fascinating texts on 21st-century topics.

Write

Following real-world practices, students write scientific arguments based on evidence they’ve collected, making clear their reasoning about how a given piece of evidence connects to one of several claims.

Visualize

By manipulating digital simulations and using modeling tools to craft visualizations of their thinking— just as real scientists and engineers
do—students take their learning far beyond the confines of what they can physically see in the classroom in an exciting and authentic way.

Program structure

Our cyclical lesson design ensures students receive multiple exposures to concepts through a variety of modalities. As they progress through the lessons within a unit, students build and deepen their understanding, increasing their ability to develop and refine complex explanations of the unit’s phenomenon.

It’s this proven program structure and lesson design that enables Amplify Science to address 100% of the Next Generation Science Standards (NGSS) and support students in mastering the Pennsylvania Science Standards.

Flowchart depicting a critical thinking process with four circular nodes connected by arrows, each node representing a step: posing a real-world problem, exploring evidence, elaborating concepts, and evaluating claims.

Unit types

While every unit delivers three-dimensional learning experiences and engages students in gathering evidence from a rich collection of sources, each unit also serves a unique instructional purpose.

In grades 6–8:

  • One unit is a launch unit.
  • Three units are core units.
  • Two units are engineering internships.

Launch units are the first units taught in each year of Amplify Science. The goal of the Launch unit is to introduce students to norms, routines, and practices that will be built on throughout the year, including argumentation, active reading, and using the program’s technology. For example, rather than taking the time to explain the process of active reading in every unit in a given year, it is explained thoroughly in the Launch unit, thereby preparing students to read actively in all subsequent units.

Core units establish the context of the unit by introducing students to a real-world problem. As students move through lessons in a Core unit, they figure out the unit’s anchoring phenomenon, gain an understanding of the unit’s disciplinary core ideas and science and engineering practices, and make linkages across topics through the crosscutting concepts. Each Core unit culminates with a Science Seminar and final writing activity.

Engineering Internship units invite students to design solutions for real-world problems as interns for a fictional company called Futura. Students figure out how to help those in need, from tsunami victims in Sri Lanka to premature babies, through the application of engineering practices. In the process, they apply and deepen their learning from Core units.

DPS Scope and Sequence

Our lessons follow a structure that is grounded in regular routines while still being flexible enough to allow for a variety of learning experiences.

In fact, our multi-modal instruction offers more opportunities for students to construct meaning, and practice and apply concepts than any other program. What’s more, our modular design means our units can be flexibly arranged to support your instructional goals.

Un gráfico que muestra los cursos de ciencias para los grados 6 a 8. Cada grado tiene una lista de clases categorizadas como Launch, GROW y GOAT, con el título de cada curso y la duración en minutos o días.

Program components

Available digitally and in print, our unit-specific reference guides are chock-full of helpful resources, including scientific background knowledge, planning information and resources, color-coded 3D Statements, detailed lesson plans, tips for delivering instruction, and differentiation strategies.

Amplify Science TG

Hands-on learning is an essential part of Amplify Science, and is integrated into every unit. Students actively participate in science, playing the roles of scientists and engineers as they gather evidence, think critically, solve problems, and develop and defend claims about the world around them. Every unit includes hands-on investigations that are critical to achieving the unit’s learning goals.

A young person wearing gloves looks through a microscope at a table with laboratory supplies, including bottles, slides, and a tray, against a plain blue background.

More hands-on with Flextensions:
Hands-on Flextensions are additional, optional investigations that are included at logical points in the learning progression and give students an opportunity to dig deeper if time permits. These activities offer teachers flexibility to choose to dedicate more time to hands-on learning. Materials referenced in Hands-on Flextension activities will either be included in the unit kit or are easily sourced. Supporting resources such as student worksheets will be included as downloadable PDF files.

Our kits include enough materials to support 200 student uses. In other words, teachers can easily support all five periods and small groups of 4-5 students each. Plus, our unit-specific kits mean teachers just grab the tub they need and then put it all back with ease.

Assorted office and household items displayed on a white background, including rubber bands, binder clips, cardboard, and sports balls.

Our digital Simulations and Practice Tools are powerful resources for exploration, data collection, and student collaboration. They allow students the ability to explore scientific concepts that might otherwise be invisible or impossible to see with the naked eye.

Available for every unit, our Student Investigation Notebooks contain instructions for activities and space for students to record data and observations, reflect on ideas from texts and investigations, and construct explanations and arguments.

In grades 6–8, one copy of the Student Investigation Notebook is included in each unit’s materials kit for use as a blackline master. Each notebook is also available as a downloadable PDF on the Unit Guide page of the digital Teacher’s Guide.

Two booklets titled "El clima cambiante de la Tierra: la desaparición del hielo" and "Earth’s Changing Climate: Vanishing Ice" with landscape illustrations on the covers.

These customizable PowerPoints are available for every lesson of the program and make delivering instruction a snap with visual prompts, colorful activity instructions, investigation set-up videos and animations, and suggested teacher talk in the notes section of each slide.

Amplify Science Classroom Slides

Explore your print samples

With your Amplify Science print samples, you’ll find unit-specific Teacher’s References Guides, Student Investigation Notebooks, and sets of Student Books for each grade level.

A note about the Teacher Reference Guides:

It’s important that you see the full breadth and depth of our instruction. For that reason, we provide a copy of each of our unit-specific Teacher Reference Guides.

Rest assured that teachers do not use these robust reference guides for day-to-day teaching. For that, we have a hands-free Teacher’s Guide!

Three laptop screens displaying educational content on earth's energy system, including diagrams and text annotations.
  • Teacher Reference Guide: Unlike a typical TG that requires a series of supplemental books to support it, our encyclopedic reference guide is chock-full of everything a teacher needs to fully implement our program and the NGSS.
  • Ready-to-Teach Lesson Slides: For daily instruction, teachers need their hands free. That’s why we created ready-to-teach lesson slides for every single lesson. What’s more, they are editable and include suggested teacher talk and point-of-use differentiation and other instructional tips. Click to learn more.

A note about the Materials Kits:

Hands-on learning is at the heart of Amplify Science, and is integrated into every unit. In order to make hands-on learning more manageable for busy teachers, Amplify Science materials are organized into unit-specific kits.

Stacked storage bins with labels, arranged neatly; caption notes they are a sample and may not reflect actual quantities or sizes.

Our unit-specific kits:

  • Include more materials — We give teachers enough materials to support 200 student uses.
  • Are more manageable — Unlike other programs that require large groups of students to share limited sets of materials, our kits include enough to support small groups of 4–5 students.
  • Include supportive videos — Each hands-on activity provides clear instructions for the teacher, with more complex activities supported by video demonstrations and illustrations.

At your request, we did not include our materials kits with our submissions samples. However, we did provide grade-specific lists of all materials included in each kit, which you can also find with the links below.

Access your digital samples

Explore as a teacher

Follow these instructions to explore the Amplify Science digital platform as a teacher.

  • Click the Access Amplify Science Platform button below and bookmark it.
  • Select Log in with Amplify.
  • Enter the username: t1.dps68sci@demo.tryamplify.net
  • Enter the password: Amplify1-dps68sci
  • Click the Science icon.
  • Click on the Grade Menu in the top center of the screen and select any grade.
  • Select any unit.

To help familiarize yourself with navigating the digital platform, watch the below navigational video.

Spanish-language support

Amplify Science is committed to providing support to meet the needs of all learners, including multiple access points for Spanish-speaking students. Developed in conjunction with Spanish-language experts and classroom teachers, several components are available in Spanish across the Amplify Science curriculum.

Spanish-language materials include:

COMPONENTTEACHER/STUDENT
Student Investigation NotebooksStudent
Science articlesStudent
Video TranscriptsStudent
Digital simulation translation keysStudent
Printed classroom materials
Unit and chapter questions, key concepts, vocabulary cards, etc.
Teacher
CopymastersTeacher
AssessmentsTeacher
Digital student experience license
This license gives students access to the student resources in Spanish, including instructional text, articles, and assessments. Teachers can control student access to Spanish-language content through the digital Teacher’s Guide.
Teacher
Spanish teacher support license
This license includes teacher talk, projections, downloadable PDFs of all print resources, and video transcripts and closed captioning in Spanish.
Teacher

Resources to support your review

Contact Us

If you have any further questions as your review Amplify Science, please contact:

Senior Account Executive

719-964-4501

mlammers@amplify.com

How can teachers find new energy in the science classroom?

Hear from our Science Connections: The Podcast guest and science PD expert Jessica Kesler

In the final episode of the latest season of Science Connections: The Podcast, host Eric Cross sits down with Jessica Kesler, professional development facilitator for science teachers. 

During the episode, Kesler describes her passion for sharing high-impact teaching strategies for science teachers and her experiences teaching in Philadelphia, and discusses how teachers’ roles often involve more than just delivering content.

Read on for a peek at the episode, and to learn more about science professional development for teachers. 

Meet Jessica Kesler

“I wanted to be a surgeon,” says Kesler. But learning about science ultimately inspired her to help others learn it, too. Her passion is to empower educators to create engaging and effective classrooms that will foster future leaders, work she is able to do in her role as a professional development facilitator at TGR Foundation, a Tiger Woods charity. This position enables her to develop and implement professional learning experiences focused on STEM-based, student-centered learning practices.

Before joining the TGR Foundation, she taught in Philadelphia schools as a chemistry and science teacher for grades 4–12, which was a bit of a culture shock. Kesler had gone from teaching near-adults who could drive themselves to school to teaching young children who often related to teachers as parent figures. The experience taught her a lot about “patience and breaking information down even smaller,” she says.

I had to figure out new and inventive ways to teach science and bring it down so far that students would be able to grab onto it and achieve it. It was a challenge,” she continues.  “But in the end it paid off. We hit our goals out of the park.

Teachers are the multipliers we need

Kesler and her team at the TGR Foundation designed their goals around a challenge issued by Tiger Woods himself: Reach millions of kids. 

They knew that reaching one student at a time would make it hard to reach their goals. 

The key? Focus on teachers, who can reach hundreds of students at a time. “They can have this multiplicative effect that can help us reach those millions of kids and help prepare them for careers,” she says.

Here are just a few of the teaching strategies and pieces of advice they offer science educators: 

  • Develop your inquiry environment. This means thinking not just about your physical space, but also your intellectual space. Kesler asks: “What are the things that you can embed into your physical space and develop in a student’s intellectual space that will help you create a holistic and growing environment?”
  • Be the entrepreneur of your classroom. Kesler and her team like to ask how a teacher can use entrepreneurial techniques to tackle issues in their schools, districts, and spheres of influence.

“Teachers are eager, but tired,” says Kesler. She notes that while school may be back in session, educators are still managing the effects of the pandemic and trying to get kids excited (and keep them excited) about science.

While teachers want to learn and do more, they are more concerned than ever about having enough time, funding, and energy to do so. 

Says Kesler: “I know you don’t have enough time to try to do 29 extra things. My advice is always: Do one thing at a time. Start with something small. Asking your students a few questions rather than lecturing to them doesn’t take a whole lot of extra time, but it gives you so much extra insight. So let’s not work harder. Let’s work smarter.” 

She continues: “It’s not Thanksgiving, where you just keep piling on a plate. It’s a time where you organize your inquiry to restructure your plates so that everything has a place and a time.”

Listen to the whole episode and to the rest of the podcast.

About Amplify’s Science Connections: The Podcast

Science is changing before our eyes, now more than ever. So how do we help kids figure that out? How are we preparing students to be the next generation of 21st-century scientists?

Join host Eric Cross as he sits down with educators, scientists, and knowledge experts to discuss how we can best support students in science classrooms. Listen to hear how you can inspire kids across the country to love learning science, and bring that magic into your classroom for your students.

The power of data-driven instruction for reading success

Words tell stories—and so do numbers. Even though reading can take us to magical places and spark immeasurable wonder, it’s data that can best guide literacy instruction (and instructors) toward delivering reading success.

Amplify’s Executive Director of Learning Science Danielle Damico, Ph.D., notes in this webinar that educators and districts can, understandably, get stuck in out-of-date beliefs. One common one is that reading is a natural process, the product of variables we can’t change in schools. But data shows the opposite—and provides immense opportunity.

Data is at the heart of what we now call the Science of Reading—a term for the decades of data now available on how kids learn to read and write, and how to best teach them. In making the shift to instruction grounded in the Science of Reading, educators can make effective use of this data to change not only literacy practices, but lives.

If you’ve been following the Science of Reading movement, you likely know the power of making that shift. But whether you’ve been following it for years or are just learning about it, there are some questions you’ll need to explore. What data do you need to make your case to your school or district? And what data will help you monitor implementation—and future success?

Using data to make your case for the Science of Reading

When making the shift to instruction grounded in the Science of Reading, you need to build buy-in among key stakeholders. Your most powerful tool in this endeavor? Data.

If your screening data shows that 20% or more of your students require intervention, it’s time to make the shift. That key performance metric is sometimes all you need, but other indicators can include high error rates among students reading decodable words, fluency below grade-level, words-per-minute scores, or struggles in identifying base words with a prefix or suffix.

Your teaching materials are also a source of data. When you conduct an audit of their content and approach, do you notice—for example—a lack of direct connection between phonics lessons and texts? Emphasis on visual strategies for decoding? Few decodable texts in the first place? These clues (or even red flags) could point to materials that are not grounded in the explicit, systematic instruction recommended by the Science of Reading.

The same may be true of your shared or inherited instructional practices. Is reading typically taught through isolated topics or generic skills (like “find the main idea”) that are disconnected from knowledge domains? Those approaches to reading could contribute to low performance data—and could help you make your case as you champion a shift to data-driven instruction.

What does data-driven instruction look like—in implementation and beyond?

Science-based reading instruction reduces the need for intervention and allows students to move forward as capable, confident readers. Once you’ve begun to implement data-driven instruction, you’ll need to collect key information to make sure you get—and stay—on the right track for all of your students.

Among the eight core principles of the Science of Reading, universal screening and progress monitoring are two that are absolutely necessary to ensure that all students receive the right instruction. It’s also important that your universal screener measures phonemic awareness, phonics, fluency, vocabulary, and comprehension.

It’s important to monitor improvement in foundational literacy skills and decline in the number of students requiring literacy intervention as well. Collecting qualitative insights regarding classroom practices and tracking their alignment with Science of Reading principles forms a crucial part of the data landscape during this instructional shift.

And finally, as Danielle Damico notes, implementation data can help you:

  • Confirm that your program has indeed been implemented.
  • Ensure that student learning is meeting key goals.
  • Distinguish between an ineffective program and an effective program not being implemented as designed.
  • Determine opportunities for professional development and coaching.

To take a deeper dive into all the data that can help you champion, navigate, and succeed in this shift, download our ebook The Story That Data Tells: Using Data to Chart Your Course With the Science of Reading and explore our webinar What Does Data Tell Us? Building Buy-In and Determining Areas of Need With Data.

S3-04: Using AI and ChatGPT in the science classroom

A graphic with the text "Science Connections" and "Amplify" features colorful circles and curved lines on a dark gray background.

In the latest episode of the Science Connections podcast, we explore AI in education and its impact on students. Listen as I sit down with teachers Donnie Piercey and Jennifer Roberts to discuss ChatGPT and how we can use it to build science and literacy skills in K–12 classrooms while preparing students for the real world.

And don’t forget to grab your Science Connections study guide to track your learning and find additional resources!

We hope you enjoy this episode and explore more from Science Connections by visiting our main page!

DOWNLOAD TRANSCRIPT

Jennifer Roberts (00:00:00):

If a kid graduates from school without knowing that AI exists, they’re not gonna be prepared for what they face out in the world.

Eric Cross (00:00:07):

Welcome to Science Connections. I’m your host, Eric Cross.

Eric Cross (00:00:12):

This season of the podcast, we’re making the case for everyone’s favorite underdog, science. Recently we’ve been highlighting the magic that can come from integrating science and literacy. So if you haven’t checked out those recent episodes, definitely go back in your feed after you’re done with this one. This time around, we’re going to deep dive into what artificial intelligence means for literacy instruction, and how science can be a force for good, in responsibly exposing students to AI. To help me out, I’m joined by two extremely accomplished educators. Jen Roberts, a veteran high-school English teacher from San Diego, who among many things runs the website LitAndTech.com. And I’m also joined by fifth-grade teacher Donnie Piercey. In addition to being Kentucky’s 2021 Teacher of the Year, Donnie also has an upcoming book about bringing AI into the classroom. Whether you’ve never heard of ChatGPT or whether you’re already using it every day, I think you’ll find this a valuable discussion about the intersection of science, English, and technology. Here’s Jen and Donnie.

Eric Cross (00:01:17):

So first off, welcome to the show. It’s good to see you all. What I wanna do is kind of start off by introducing both of you. And so we’ll just go K–12. So <laugh>, Donnie.

Jennifer Roberts (00:01:30):

Donnie goes first.

Eric Cross (00:01:31):

Donnie’s gonna go first. Donnie out in Kentucky. Just a little background. What do you teach; how long you’ve been in the classroom; and what are you having fun with right now?

Donnie Piercey (00:01:38):

Yeah, so my name is Donnie Piercey. I’m a fifth-grade teacher from Kentucky. Live and teach right here in Lexington, Kentucky, right in the center of the state. I’m the 2021 Kentucky Teacher of the Year. But I’ve been teaching elementary school for the past … I think this is year 16 or 17. It’s long enough where I’ve lost count, and I can’t even count on fingers anymore. My friends like to joke that I’ve taught long enough where now I can count down. You know, it’s like, “All right, only so many more years left.” But yeah, teach all subjects. Science definitely is one of the subjects that I don’t just try to squeeze into my day, but make sure that … it’s not even a devoted subject, but one that I definitely try to — don’t just have that set time, but also try to do some cross-curricular stuff with it. So definitely the rise of AI in these past few months, which feels like years by this point, has definitely played quite the role, in not just changing the way that I’ve been teaching science, but really all my subjects. So, excited to chat with y’all about it.

Eric Cross (00:02:47):

Nice. I’m excited that you’re here. And Jen?

Jennifer Roberts (00:02:51):

Hi, I’m Jen Roberts. I teach ninth-grade English at Point Loma High School, and that’s where I usually stop when I introduce myself. But for your sake—

Eric Cross (00:03:00):

I will keep introducing you if you stop there. <laugh>

Jennifer Roberts (00:03:04):

I am nationally board-certified in English Language Arts for early adolescence. I am the co-author of a book called Power Up: Making the Shift to 1:1 Teaching and Learning, from Stenhouse, with my fabulous co-author Diana Neebe. Shout out to Diana. I blog at LitAndTech.com about teaching and technology and literacy and the intersection of those things. And I’m looking forward to talking about how AI is showing up in my classroom and the fun things I’m doing with it.

Donnie Piercey (00:03:31):

And one of us is actually secretly a robot, and you have to guess which one.

Jennifer Roberts (00:03:35):

Have to guess which one. Yes. <laugh>

Eric Cross (00:03:37):

That would be super-meta. And you were the CUE — Computer-Using Educator — outstanding teacher or educator? Whatever. Either one. Of the year.

Jennifer Roberts (00:03:45):

I was the CUE ’22 Outstanding Educator. Yes. And I’ve won a few other things as well.

Eric Cross (00:03:53):

The gaming backpack.

Jennifer Roberts (00:03:54):

I’ve won a gaming backpack recently! Yes. I once won an iPad in a Twitter chat.

Eric Cross (00:03:58):

What?

Donnie Piercey (00:03:58):

What’s a gaming backpack? Hold on. We need to talk about that.

Jennifer Roberts (00:04:01):

We will talk about that. <laugh> And then, I was once a finalist for county Teacher of the Year. That’s as close as I got to Donnie. Donnie was the Kentucky Teacher of the Year. He got to go to the White House and stuff. That was exciting.

Donnie Piercey (00:04:13):

<laugh> I mean, to be fair, there’s only three million people in Kentucky, and about what, 50 million people that live in California? <Laugh> So odds are definitely stacked in my favor, I think.

Jennifer Roberts (00:04:23):

So you’re saying we’re even there? Is that, is that what you’re going for?

Donnie Piercey (00:04:25):

Yeah, evens out. Evens out.

Eric Cross (00:04:27):

So I’ve been looking forward to talking to you both for a while now, and talking about artificial intelligence. It’s like the big thing. And both of you, at different ends of the spectrum and in my life, have contributed to this. Donnie, you’ve been sharing so much great information online about how you’re using AI in elementary. Jen, you are the reason I got into education technology years ago, right when I was becoming a teacher. And so being able to talk with you both about it excites me a lot. So first off, for the listeners who may not have any experience with it — and there’s still a lot of people out there who have not been exposed to it, haven’t got their feet wet with it yet — I’m hoping we could start off maybe with an explanation of … we could do AI, ChatGPT, I know that’s the big one. But simply explaining what it is, just for the new person. And whoever wants to start off can tell us about it. Or maybe we’ll start … we’ll, let’s actually, let’s do this: Let’s continue going like K–12? So Donnie, maybe you could … what’s your pitch to the new person of, “Hey, this is what it is”?

Donnie Piercey (00:05:31):

All right. So, AI, artificial intelligence, probably the way that most people are exposed to it, at least since November when it launched, is through ChatGPT. Where if you Google it, you know it’s made by a company called OpenAI. The best way to describe what it is … when you go there for the first time, make an account, it’s free. You have like a little search window, looks like a Google search bar. And instead of searching for information, you can ask it to create stuff for you. So for example, like on Google search, you might type in a question like, “Who was the 19th president of the United States?” Where on ChatGPT, instead of just searching for information, it creates stuff for you. So you could say, you could ask it to, “Hey, write a poem about the 19th president of the United States.” Or, “Write a short little essay comparing, I don’t know, Frederick Douglass to Martin Luther King Jr.” And it would do that for you. You know, that’s most people’s first exposure to AI, at least in these past few months. Instead of … you know, it’s artificial intelligence, but it’s not just chatbots. There’s lots of other AI that exist out there.

Jennifer Roberts (00:06:47):

And I think that’s the thing: that people don’t realize how much AI is already in their lives.

Donnie Piercey (00:06:51):

For sure. Yeah.

Jennifer Roberts (00:06:52):

You know, they just haven’t seen … the term that I see being used a lot now is “generative AI.” AI that can produce something. It can produce writing, it can produce art, it can produce a script, it can produce a character. But the AI that has been helping you pick what to watch next on Netflix and the AI that’s helping Google help you get where you wanna go on Google Maps faster, those are forms of artificial intelligence as well.

Donnie Piercey (00:07:21):

Yeah. I mean, even those, when you get that that message in Gmail, and instead of having to type out that response that says, “Yeah, that sounds great,” you can just click the little button that says, “Yeah, that sounds great.” I mean, that’s been in Gmail for years, but that’s artificial intelligence too.

Eric Cross (00:07:39):

Absolutely. So why is it important, do you think, for educators to, to be familiar with it? Like, why are we all so excited about it?

Jennifer Roberts (00:07:47):

So, educators need to know what kids are into, and kids are obviously into ChatGPT. And anyone who’s an educator right now has probably already had something cross their desk — or more likely their computer screen — that was written by AI and passed off as a student’s own work. And that is, of course, the great fear among teachers everywhere, that this is what kids are just gonna do these days and they won’t be able to catch it and children won’t be doing their own work and this and this. But I think the big reason teachers need to know what’s going on is because teachers need to be futurists. Our clientele will live in the future. We teach kids, kids will become adults, adults will live in the world. And so if we’re not thinking about and trying to predict on some level what’s gonna happen 5, 10, 15 years from now … we might be wrong, but what if we’re right?

Jennifer Roberts (00:08:38):

And if we’re not at least trying to think about what is their future world gonna look like, then we’re not serving our students well. I did a whole night talk on that. So I think ChatGPT is part of that. I teach seniors. I had this moment of realization I felt a few months ago. I’m like, “This is gonna be the world they graduate into. They need to know what this is before they leave me.” If I don’t teach them how to use this well, and not the way they’re using it — which is to copy and paste the teacher’s assignment and drop it into ChatGPT and take whatever it spits out and turning that in without even looking at it — if I don’t teach ’em how to use it critically, if I don’t teach them how to write effective prompts, if I don’t teach them how to use the AI as a tool, as a collaborator, then they’re gonna graduate into a world where they lose out to people who do know how to do that. And I think the advantage goes to kids who have access and knowledge of what’s in front of them and what’s available, and can use all of the tools at their disposal. Because when you’re writing in school and you write with a collaborator, that could be considered cheating. But when you do that out in the adult world, that’s considered doing a good job. <Laugh> Being a team player. <Laugh> You know, adults don’t work alone for the most part. And adults are expected to churn out beautiful, perfect content no matter how they got there. So if I’m not teaching my kids how to use this, they’re not being ready. They’re not gonna be ready to be the adults that I want them to be.

Donnie Piercey (00:10:07):

A hundred percent agree. And I also believe … as you know, I teach elementary school. I also don’t think anybody is saying that on the first day of kindergarten, you hand a kid a Chromebook and load up an AI chatbot or ChatGPT and say, Hey, this thing’s gonna do all your work for you for the next 12 years; just coast through life. You don’t have to think creatively. You don’t have to learn how to develop a paragraph or learn how to write a speech or develop an idea. Like, I don’t think anybody’s saying that, because as an elementary school teacher, there’s many days when I’m like, “Y’all, we’re just putting the Chromebooks away today and we’re just gonna go old-school. We’re just gonna maybe just jot down five quick ideas and stand up and present those ideas to the class.”

Donnie Piercey (00:10:54):

Because while AI definitely will, like you were saying, Jen, play a significant role in the lives of our students who are, not just graduating, but the 10- and 11-year-olds in my classroom this year. A significant role in their lives. It’s also really important to recognize that we’re not saying that this means that “Hey, kids don’t have to work anymore.” They still have to put forth that effort. There’s still — one of the ways that you become a good writer is by trial and error. And sometimes that trial and error comes through talking to a teacher or talking like you were saying to a peer or collaborating with a peer and saying to them, “Well, this sentence here, this paragraph here, really doesn’t make sense.” And I do believe one of the ways — especially as AI starts to become more fine-tuned and starts to be embedded more and more in tools like Google Docs and Microsoft Word — is it’s almost going to be a tutor to students.

Donnie Piercey (00:11:56):

Mm-hmm. <affirmative> Where I could very easily see in a few years, or maybe a few months, who knows what Google or any of these other big companies has rolling out, where a student could highlight a paragraph that they wrote simply, and then say, “Hey, proofread this for me,” or “Check for coherence.” Or even just ask a simple question: “Does this paragraph make sense?” Because you can already do that. You can copy a paragraph over into a chatbot and say, “Hey, does this make sense?” You know, “Rate my idea from one to 10,” and it’ll do that for ’em.

Jennifer Roberts (00:12:26):

We did that last week <laugh>.

Donnie Piercey (00:12:28):

Yeah. Right. I mean, that’s the thing. That technology exists now. It’s just not totally embedded yet. But based on what I’ve read and what I’ve seen, that’s gonna happen sooner rather than later. And it’s really, really important that we teach our students that, “No, you’re not just gonna use this, this tool to cheat, but you can use this tool to help you become a more creative student.”

Jennifer Roberts (00:12:50):

This is the use case in my classroom. Can I talk about that? You ready for that?

Eric Cross (00:12:53):

Please.

Jennifer Roberts (00:12:54):

OK.

Eric Cross (00:12:54):

Please.

Jennifer Roberts (00:12:55):

So my ninth graders are writing a comparative analysis essay, where I took them to the student art gallery and I made them pick two pieces of completely unknown student art and take notes on it, so they could go back and write this essay. And as soon as we got back to class, I said, can ChatGPT write this for you? And they all kind of froze ’cause I didn’t tell them what ChatGPT was. And they weren’t sure if they were allowed to know or not. And finally one of them kind of bravely raised his hand and said, “No.” And I said, “Why not?” And he said, “Well, the AI hasn’t seen the art. How can it write an essay about art when the art is completely original that we just went and looked at?” I said, “It’s almost like I planned it that way, isn’t it?” And they laughed nervously. And then I said, “Does that mean it can’t help us with this assignment?” And they said, “Well, no — of course it can’t help us, because it has not seen the art.” And I said, “Well. …” And I open ChatGPT, and I typed in what they were trying to do: “I need to write a comparative analysis essay comparing two pieces of student art on these reasons. And I need to choose which one did it better, basically. Can you help me with an outline?” and ChatGPT produced a lovely outline. And I looked at that with my students and we looked at it together and I said, “This is what it gave us. Would this be helpful to you?” And they’re like, “Yeah, that would be helpful to us.” So we — to be clear here, I was the only one using ChatGPT in the room. They were not actually using it. We were using it together. I copied and pasted the outline that it gave us and put it in their learning management system where they could access it so they could use the outline that the robot provided, and then they could use that to make their own writing better. So then I let them write for a little while, and, after they’d written for a little while, I said, “Does anybody wanna let me share your first paragraph with ChatGPT and see what it thinks of how you’re doing?” And a brave student raised his hand and we took his paragraph and we put it in ChatGPT, and it spit back advice. We said, “This is what I have so far for my first paragraph. Do you have any advice for me?” And we gave it the writing, and the first piece of advice it gave back was very generic, you know, “Add a hook,” you know, like kind of thing. But after that, it started to get more specific about things he was actually doing in his writing. And it started to give him some feedback. And we looked at that together as a class. And I said, “Does any of that feedback help you?” And he said, “Oh yeah, absolutely. I’m gonna go add some revisions to my paragraph.” And other students did too. They looked at the feedback he got and used that to improve their writing. And so everybody went and revised. And I said, “Look, if you take what the robot gives you and you copy and paste it, and you turn it in as your own work, it’s gonna get flagged for plagiarism. And that’s not gonna go well. But if it gives you writing advice the same way I would give you writing advice, and you decide that advice is good, and you take that advice and you incorporate it into your own writing yourself, then the robot’s making you better, but you’re still the one doing your own writing.” And the writing they turned in from that assignment was, was better. It wasn’t written by ChatGPT; it was still about the student art that they found in the gallery. But I showed them a path. Like, it can help you with an outline, it can help you with feedback. Right? These are fair ways to use it that’s gonna make you better. And they really liked that. They really liked — no one had shown them that before. The idea that you don’t just take the teacher’s prompt and give it to it … like, these are new uses to students and worked well.

Eric Cross (00:16:17):

So right now, you both just laid out these ways that you’re using it. And I do this with people that I’m trying to introduce to ChatGPT or AI. ‘Cause I get excited. Anyone could write a 500-word persuasive essay on the use of color in The Great Gatsby or The Outsiders, and they can get something back within seconds. But for a lot of educators, it might feel like the sky is falling.

Donnie Piercey (00:16:43):

Oh, understandably! Understandably. I mean, that totally makes sense.

Eric Cross (00:16:49):

What would you say to them? Donnie, go ahead.

Donnie Piercey (00:16:51):

Yeah. Well, I feel like every teacher kind of goes through the same experience when they see like a generative chatbot. I mean, all these major companies are gonna start incorporating AI, the generative AI piece. And a lot of times, when they see it for the first time, two things. First they’ll say “Oh, but I’ll know that that’s not my students’ writing.” Which, frankly, I think is a good thing, because that tells me that the teachers know their students’ writing. They’ve seen them write in person. They’ve conferenced with them one-on-one. And if a student were to turn something in to me, who I know might be a struggling writer, maybe it’s not their strength, and all of a sudden they’re turning in this10-page dissertation-worthy thesis written at a PhD level, I’m like, “All right, man, you’re nine. Can we talk about where this came from?” <laugh> But I also don’t think that at like the heart, I don’t feel like kids want to cheat. I really don’t. I feel like sometimes like kids are in a situation where they’re like, “OK, I’ve got nothing left. I gotta get this assignment done.” And when those kind of things happen, that’s when we as teachers, we have those one-on-one conversations. Even when I showed my students ChatGPT and even some of the AI image-generating stuff for the first time, and I talked to them about, “What do y’all think about this?” Because, you know, they’re under 13. In my district, ChatGPT is blocked for students. Staff, we have access to it. And that’s just because one, it’s so new, and at the same time, we need to figure out, “What’s the best way they can go about using this tool?” But when we were talking about it as a class, you know, I didn’t want to ignore the elephant in the room. So I asked them, I said, “Hey, do you feel like this is something that you all would use to. …” I mean, I used the word. I said “cheat.” And to be honest, the majority of the students in my class, they were taken aback. They’re like, “What? You think we just would cheat all the time?” Right? <Laugh> And I’m like, “Oh, well good. I’m glad to know that integrity is still alive and well.” But yeah, that’s definitely my thoughts on it, as far as not only the student integrity piece — I think that that’s the big thing that you need to just bring up with your students. Because again, I like to think that I’ve seen my students write enough that if they were going to turn something in that wasn’t their voice, or it didn’t sound like them, like I could have that conversation. And don’t be surprised, too, if in the next … I don’t know, one month to a year, there’s lots of AI detectors that exist. A lot of them are these like third-party things. You can go ahead, but I would not be surprised if in the next year or so, like you start to see those AI detectors be built into Google Docs, into Microsoft Word, into even Canva. And honestly, it’s almost like a fail-safe button for teachers, that we could say “All right, this is telling me that this is 99% probably written by AI.” So you can have that conversation with a student that way.

Jennifer Roberts (00:20:03):

I mean, if you’re worried about it, Formative, right now, will even tell you if something is copy-and-pasted into the boxes that they give you for students to write in. I find that kids who cheat are desperate, you know. Especially at the high school level. They’re panic mode. And, and usually their panic comes from, “I have no idea how to even start this assignment.” And so part of what I wanna use ChatGPT for is to lower that barrier for them. Like, you’ve got an assignment, you don’t know where to start. Tell the robot, tell ChatGPT, about the assignment and ask it for a list of steps. You know, ask it for an outline. Ask it for a time management plan. I see so much tremendous potential for this to help many of my students with IEPs who have executive functioning issues.

Donnie Piercey (00:20:49):

Oh, a hundred percent, right?

Jennifer Roberts (00:20:51):

Yes, a hundred percent. This can be their personal assistant who, you know, instead of me sitting with them one-on-one and saying, you know, “This is the task you need to do, let’s break it down into these six discrete chunks,” the artificial intelligence can do that for them. And it can do that for teachers too. <laugh>

Donnie Piercey (00:21:09):

Jen, I was just thinking about, how long until we see like the phrase artificial intelligence written onto a student’s IEP? I could see that happening very, very soon.

Jennifer Roberts (00:21:20):

Right? They should be able to use that. And then, also, of course, all of its amazing beneficials for teachers. I had to completely rewrite a unit of my curriculum. I knew what I wanted to do. I had some ideas of things I wanted to put in there. And I resorted to, I went to EducationCopilot.com and typed in my stuff that I had: You know, what standards I wanted to cover, what outcomes I was hoping for mm-hmm. <affirmative>. And it generated an eight-week unit for me. And I actually told it then to go back and do it as a 12-week unit so that I’d have more stuff in there to go and cherry-pick to decide what I really wanted to do. But it gave me ideas. It gave me places to start. It saved me an hour of just brainstorming. And I don’t think that was cheating. I still got to go in and decide which ideas were valid. And I still got to … you know, I mean, I’m a teacher. Can I get accused of cheating? I don’t think that’s a thing. It’s—

Eric Cross (00:22:18):

That’s collaborating! It’s collaborating!

Donnie Piercey (00:22:20):

Collaborating! It’s a feature! It’s a feature.

Jennifer Roberts (00:22:22):

It’s Tony Stark talking to Jarvis. You know, they’re figuring it out together.

Donnie Piercey (00:22:26):

Oh, when you use the AI, Jennifer, do you call yours Jarvis? In my class we call him Jeeves. ‘Cause remember Ask Jeeves?

Jennifer Roberts (00:22:33):

I think Eric calls it Jarvis.

Eric Cross (00:22:35):

Yeah. Jarvis is gonna be the AI’s name when, when I can get that fully functioning. There are some things that you had said, I just wanna circle back on. Donnie, Jen — so what I heard was like, best intentions. The part you said about integrity and students wanting to cheat … even the mindset that we go in assuming our students, what they would want to do and assuming best intentions, really kind of frames how you look at this kind of technology. And then Jen, you kind of brought up why students cheat, and realizing that either they don’t feel equipped, or maybe it’s time management, or something else. But most people — and I believe this as an educator — most students want to learn, and they want to be able to perform and achieve. And when they cheat, it’s because they didn’t feel like they could, for whatever reason. Whether it’s it’s outside factors, whether it’s something internal, motivation, whatever it is.

Jennifer Roberts (00:23:24):

Or they were very disconnected and just didn’t care.

Eric Cross (00:23:27):

Sure.

Jennifer Roberts (00:23:27):

This is just busy work the teacher’s giving me, so I’m gonna give it very little of my time and energy. But I think, yeah, it can be that. But if the kid cares about it, if they wanna learn, they wanna learn, you know?

Eric Cross (00:23:40):

Right.

Jennifer Roberts (00:23:40):

This is the day of the internet. Any kid can learn anything they really want to learn. And we see that all the time in our classes. The kid who has zero interest in what I’m teaching in English, but he is an expert coder, and that’s what he wants to spend his time learning. He’s like, “Can I read this C++ book as my independent reading book?” And I’m like, “You know, actually, you can. Go ahead.” <Laugh>

Eric Cross (00:24:01):

Yeah. And for both of you, saying that this makes content more accessible … and I think Donnie, or Jen, you said something about IEPs. I actually put in having it write an IEP to see what would happen. I gave it a prompt for a student’s ability level and I asked it to create a plan. And then I asked it to create a rationale. And it did! And it was good! I went through and vetted it. And right now … you know, a lot of it is funny, ’cause the conversation I’m having with different teachers is kind of like the Wikipedia one. Remember when Wikipedia first got out and everyone was like trying to discourage everybody from using it, because, well, it could be changed by anybody? And now everyone’s like, “Oh, check Wikipedia, and then steal the sources, ’cause they’re already done for you.” Like, the mindset has shifted since then. And I was talking to someone and they said, “Well. …” And I said, “We can use AI, it could be a tutor, these other things. …” And they said, “Yeah, but what happens?” And then insert apocalyptic scenario. Like, what happens if you don’t have access to wifi? And it reminded me of, for some reason, cooking classes. So in the 1700s you probably had to be able to farm to be able to generate your food. Right? Like, you had to get it from somewhere. But if you take a culinary class now, you just go to the grocery store. And someone might say, “Well, but you should know how to farm, ’cause what if there was this worldwide apocalypse and nobody could go to the grocery stores?” <Laugh> And you’re like, “Well, balance of probability though.” You know, it’s like we’ve been really been living in these iterations of life, and I think this next step for some folks … like, we don’t even realize, even like something like bank statements, right? So many folks are paperless. And there’s always a what-if scenario. What if you need it and the internet goes down. But we get so used to to to technology advancing and making our lives different. This kind of seems like that next iteration. And I wanna ask you this question: Are we looking at like the next calculator? The next internet, with this tech? Or do you think it’s too early to say?

Donnie Piercey (00:26:01):

Well, I’ve seen a lot of people compare ChatGPT to a calculator. I’ve seen that pop up on social media. There’s, “Oh well, no, this is like when the calculator was invented. Everyone was up in arms about how ‘that’s not what math students should do.’ Math should be pencil and paper, math should be this.’” However, you can give a kid a calculator and you can give ’em a word problem and they can punch in all the numbers, but they could do the wrong operation or they could put the decimal point in the wrong place, ’cause the student is still the one who’s controlling what’s on the calculator. Where with AI, all you gotta do is just copy it and then paste it into the bot and it’ll spit out whatever the question asked it for. Whether it was, you know, a 500-word rationale or proof for something in geometry, or if it’s analyzing data on a chart, it’ll do all that.

Jennifer Roberts (00:27:00):

Yes. But it’s not that magical. It’s back to what Eric did with the IEP. He put in a prompt and then he knew enough to ask for a rationale and then he knew enough about IEPs to critically read the results he got and make sure they actually worked for what he needed. He had to know all that. He was an expert using it to do an expert thing. My husband’s a computer scientist; he got ChatGPT to help him write an app, and it was a new programming language to him, and he could put in the data and he could ask for things that I would’ve never thought to ask for. But because he knows the language of computer science, he knew what to ask for. And when it gave him results that were bad, he could see that, and he could say, “Yes, but do it again, but without this,” or “make this part more efficient.” He, again, knew what to ask for. So I think the generative AI is, as a partner with humans, a powerful thing. But if the human doesn’t know what they’re doing, yeah. You’re still not gonna get great results.

Donnie Piercey (00:28:03):

<laugh> And I think that’s why I’m coming at this from the elementary school perspective, right? Because in K–5 students are still learning, like, “Hey, where does the decimal point go?” They’re still learning, you know, if you’re dividing by a two-digit number, where does the first digit go, if you go in the old long-division algorithm? And so they’re still acquiring that base-level knowledge that … I don’t know, maybe this is similar to in Jurassic Park when Jeff Goldblum says, “It didn’t take any knowledge to attain,” you know, “they stood on the shoulders of geniuses,” that whole thing. Like they had to acquire the knowledge for themselves, was his whole point. And so that’s why I don’t think it’s exactly the same as the calculator. It is definitely going to change things, in a similar way that the calculator did. But to me it’s just a whole new animal. And I don’t know if it’s going to be like the next internet, Eric — if you’re gonna get little devices that have AI built into it, like a Star Wars kind of thing, like a droid or something that follows you around — all that would be kind of cool, not gonna lie. But whether it’s something that you’ll access through the internet, something that’s built into your TV, that part I don’t know. But I do know that there’s a reason why all of these apps and all these companies are investing so much — not just energy, but time and money into it. Because they’re recognizing. “OK, this really has the potential to change things.” But if used well, and used safely, to change people’s lives for the better.

Eric Cross (00:29:41):

So I definitely hear that you both agree with the statement that if AI ChatGPT was used in the classroom, it could be a force for good. And literacy development. And I wanna shift gears a bit and then come back to the AI. So with that said — and we’re gonna get into some best practices in a minute — in Science Connections right now in this season, we’re making the case for how science can do more in classrooms and in schools. And so I’m I’m curious about what both of you think about the role in science fostering a better future when it comes to AI and education. And this season we’re really talking a lot about literacy. You know, in schools, so often it’s taught in a siloed way. And Donnie, you’re doing multi-subject. Jen, you’re single-subject: English. And we’ve really been trying to make this case for how science can actually support literacy, and these skills that students are trying to develop. So we’re going a little old-school, kind of diving into your content specialty, but maybe even pre-AI, or maybe AI has a component in this. But Don, maybe we’ll start with you. How has science been a way that has been helpful for your own literacy instruction? I know you do a lot of science, because I see your Google Earth stuff and the thing you did with the solar systems back in the day. And I think —.

Donnie Piercey (00:30:54):

Oh my gosh! You remember my <laugh> … wow.

Eric Cross (00:30:58):

That was amazing!

Donnie Piercey (00:31:00):

We haven’t done that since the pandemic. But I had my students go out, and using Google Earth, we built a scale model. Each of the students partnered up and they planned out on Google Earth a scale model of the solar system. They picked an object from around their house and we talked about like, “Don’t pick something bigger than a beach ball, or else, you know, your Neptune’s gonna end up like 10 miles away.” But you know, they just picked like a small ball, like a basketball, soccer ball, something like that. Or football, for international friends. And then we calculated the size of every other planet. And then on Google Earth, using their front lawn as where the sun was, then we went and we calculated where other planets would be, and then we actually drove to those locations and like held up the objects that would represent Neptune, Jupiter, Saturn, and all that. But it was a lot of fun.

Eric Cross (00:31:59):

And is that still accessible? ‘Cause I know you have some websites that you put resources out there.

Donnie Piercey (00:32:03):

Yeah. Yeah, I can … I wanna say on my Resources page — Resources.MrPiercey.com — I’ve got a link on there to a couple of student examples that I can share. And if not, when we get off this call, I’m gonna go on and put them on there <laugh> so people can find it. I’ll even throw on there just the assignment itself. So if you wanted to copy that and do that with your students, you could.

Eric Cross (00:32:27):

Donnie, the reason why I brought that up is because I saw that you had posted that or shared it a long time ago, and I just thought it was the coolest thing that you could totally do with middle-school students or high-school students. Jen, when I became a teacher, you said, “We’re all teachers of literacy.”

Jennifer Roberts (00:32:43):

<laugh> Yeah. I think we forgot to tell them that I was one of your professors.

Eric Cross (00:32:47):

Yes. <Jennifer laughs> One of the people who’ve definitely influenced and shaped my teaching. And that statement has never left my mind: that we’re all teachers of literacy. And I want to ask you, at the high-school level, how can science educators, or how can science — how have you seen it, or how does it, support literacy, when it’s done right?

Jennifer Roberts (00:33:09):

Like I said, I think we’re all teachers of literacy, but I think literacy is bigger than just reading and writing. I don’t think someone is literate if they can’t talk somewhat knowledgeably about what’s happening with climate change. I don’t think someone’s literate if they don’t know what’s going on in the world. And I think so much of what’s going on in the world has to do with science. We’re doing that all the time. If I could teach English just by giving kids articles about science, things to read, that would make my day. Right? We would never read another piece of fiction again. It would all be, you know, what’s happening to the ice sheet in Greenland. My students thrive on reading non-fiction. And then whenever that non-fiction touches on science is even more interesting. And whenever I can get them writing about data, particularly their own data that they collected, I think that’s building those science literacy skills as well. So I think science and English blend together very, very well. I think the literacy aspects of that are fantastic. There are more subject-specific vocabulary words, advanced vocabulary words, in science than any other discipline. And I don’t see why those shouldn’t come up in English as well. You know, my seniors will do a unit at the end of the year on the new space race. Unless I replace it with a unit about generative AI, which I’m seriously considering doing, ’cause I think they really need to learn about bias in AI algorithms and things like that. And I would like to have them read a whole bunch about that stuff. And I wanna give them the open letter that all those CEOs signed that said that AI research should slow down, and make them part of that live conversation about what’s happening in that field. So science comes into that. You know, when we read Into the Wild, we start talking about a whole bunch of scientific concepts. And when it rains in Southern California, we pull up weather maps and look at radar and talk about that and how that works.

Donnie Piercey (00:34:59):

That’s like once every 10 years, Jen? <Laugh>

Jennifer Roberts (00:35:02):

Well, actually, this year it rained a lot. It rained a lot in San Diego. Which is actually very high-interest for them. ‘Cause they wanna know, is it gonna be raining at lunchtime?

Eric Cross (00:35:12):

Jen, you said something … you have your students writing about data?

Jennifer Roberts (00:35:16):

Oh yeah.

Eric Cross (00:35:17):

Can you tell me more about that?

Jennifer Roberts (00:35:19):

So, this is something we’ve done with the ninth grade team for a long time now, is writing about their own data. So it started with a unit about stereotypes and stereotype threat. And they would collect data individually and then they would enter that data into a Google form and then we would give them the spreadsheet of the aggregate data from the whole ninth grade. And then we morphed that unit into one about academic honesty, and they filled out a survey at the beginning of the unit about their feelings about academic honesty and about experiences with academic honesty and cheating and homework and things like that. And then we would do the unit. We’d do all the readings in the unit. And they’d have these “aha” moments about things that were happening at other schools. And then at the end of the unit, we would give them back their own aggregate data and ask them to write about whether or not academic honesty was an issue at our school. And then to support that answer with evidence from their own dataset. So they had that spreadsheet to comb through and figure out, you know, where am I gonna stand on this? We give them the multiple-choice questions we gave them as the graphs, in Google Slides, so that they could write about them and talk about them, too. So yeah, getting kids to write about data. And the the sentence frames we gave them were sentence frames out of, They Say, I Say, from the chapter on writing about science. And <laugh> as they write this stuff, they’re like, “I feel so smart writing this way.” And I’m like, “I know, ’cause you’re writing about big important topics!” Right? And writing about their own data come to think of it is another great way to make an assignment both very personal to them, but also make it ChatGPT-proof, you know, if you’re looking for something that kids can’t just hand to the robot, the robot doesn’t have that data set.

Eric Cross (00:37:08):

Absolutely. And Donnie, at the elementary level, do you, do you make connections between science and literacy? In your class? You talked about with math, definitely with the solar system, but now, I’m curious, what are your newer projects? What have you been working on lately?

Jennifer Roberts (00:37:23):

What’s up now, Donnie?

Eric Cross (00:37:24):

Yeah, what are you doing?

Donnie Piercey (00:37:25):

Oh, man. Well, let me think. I’m just trying to think of some fun projects that we’ve done this year. Science that we can tie in Literacy and also some student creation. Just recently we had a … so I’ve wanted to expose my students to famous scientists that weren’t just white dudes from Europe. So for this year, what I did — and I actually used AI for this — I went into ChatGPT and I asked for 64 famous scientists and it listed them all off. And then I asked it, like, how many of these were white? And I think it said like 61 of them. You know, it had like Neil DeGrasse Tyson, and a couple of other … I didn’t know who they were. So I’m like, “All right, so we need to make this more diverse and make this more equitable.” ‘Cause you know, with the student population in my classroom, try to find equal representation to make sure they can see themselves in some of these scientists. So, eventually got it narrowed down to where I had about 64 scientists. Half are women, half are men from all continents except Antarctica. I assigned these scientists to my students. Some got two; some got three. And their assignment was to go and one, do some individual research on this person, find out what they were famous for, what they were most well-known for, turn it actually into a persuasive piece, where I said, “Hey, you’re gonna have one slide.” And I’ll tell you why I gave him one slide in a minute. On that one slide, you’ve gotta convince the person who sees it that this scientist is the most important scientist since the dawn of creation. I said, “You could use images, text — I don’t care if they were famous for something that you didn’t even understand what it was. It’s a persuasive piece. You’re 10. Go all out. Add gifs, do that whole thing.

Eric Cross (00:39:21):

This is awesome.

Jennifer Roberts (00:39:21):

I wanna do this project.

Donnie Piercey (00:39:23):

And if you picked up on the number 64, and I did this in March, so what we did was throughout the weeks of March Madness of the women’s and men’s NCAA tournament, whenever a game was going on, we had another round of voting. I just paired ’em up. I was gonna like seed them, like 1 to 64 — that’s just way too much work for me <laugh>. So I just kind of did random kind of thing. But all the students had to do — they just saw the slides side-by-side, and the only question they had was, “Based on what you see here, who is the most important scientist? This person or this person?” And it eventually came down to Carl Sagan going up against Marie Curie.

Eric Cross (00:40:04):

OK, that’s a good matchup.

Donnie Piercey (00:40:06):

Yeah, well, the Marie Curie slide, they just liked the radium piece. So they added like some green glowing gifs. And I said, “Guys, it doesn’t always grow glow green.” But whatever. Anyway, eventually Carl Sagan, in case you wanted to know, according to the 10-year-olds in my classroom, is the most important scientist in the history of the world. So I don’t know if I agree with that per se — I think maybe Newton or somebody else might have had something else to say about it — but fun assignment. It was a unique way to expose my students to a bunch of ideas. I remember the student that I assigned Newton, the only thing that that she knew about Isaac Newton was “Didn’t he get hit in the head with an apple?” And I said, “Well, not exactly, I think you might have read or maybe seen too many like old-school cartoons or whatever.” But she ended up doing some research. She’s like, “Oh, I’ve heard of that before! That equal and opposite reaction thing.” Didn’t know what it meant. I had another student that just got really … you know, if you’ve ever been on one of those YouTube kicks where it’s just, you go like nine levels deep onto like, “What does this theorem mean?” Student sits in back of my classroom, I walked by one day and he’s just watching something on like the fifth dimension and what it might be. And I said, “Oh, your scientist got you started on that.” So definitely was a lot of fun. Unique way to combine reading, writing, but also expose my students to some ideas. And we’re definitely gonna do it again. I’ve actually done this assignment before. I picked 64 random elements on the periodic table. But their only slide that they have to make is “What’s your element? What is it used for? And then, why is this the most important element since the dawn of creation?” <Laugh> And, you know, there’s always that student that gets hydrogen. They’re just like “Sweet!” Right? They get excited about that one. <laugh>

Eric Cross (00:41:59):

Explosions.

Donnie Piercey (00:42:00):

Yeah. But then, for that kid who likes a challenge, or that student with the “gifted” label, you give them, like, einsteinium or palladium. Some of the more challenging ones. And they go all out with this. I didn’t use AI for that one, but it was kind of fun, and I figured it’d be neat to share an idea that another teacher could try.

Eric Cross (00:42:20):

Well you probably have at least two teachers right now that are gonna go and try that. And we’re both looking at you. So.

Donnie Piercey (00:42:24):

Go for it.

Eric Cross (00:42:25):

Thanks for that idea. I’m imagining my students coming in with jerseys with “neon.”

Donnie Piercey (00:42:29):

Oh yeah. <laugh>

Eric Cross (00:42:30):

“Neon” on it. Just all ’80s out.

Donnie Piercey (00:42:33):

The game behind it, too, is you tell kids — again, this is just so the 10-year-olds in my class don’t get their feelings hurt — but I say, “Hey, and if your element gets knocked out, you just have to start cheering for whoever beats you in the tournament.” So by the end, you kind of got half the class cheering for one and half the class cheering for whatever.

Jennifer Roberts (00:42:53):

So the only thing I got outta that whole story that I’ve got for you is, as a child I met Carl Sagan. That’s all I got.

Donnie Piercey (00:43:02):

For real?

Jennifer Roberts (00:43:02):

For real.

Donnie Piercey (00:43:03):

So did he talk with that cadence and tone?

Jennifer Roberts (00:43:06):

Yes.

Donnie Piercey (00:43:06):

Like in real life? Wow.

Jennifer Roberts (00:43:07):

Yes. My father was one of the cinematographers on the original Cosmos. And I got to go to the set a few times.

Donnie Piercey (00:43:14):

That’s incredible!

Jennifer Roberts (00:43:15):

I did not appreciate what I was seeing as a child. But as an adult, I’m like, “That was cool. I was there.”

Donnie Piercey (00:43:20):

“You can see my shadow off in the distance.”

Jennifer Roberts (00:43:23):

I mean, maybe that’s part of why I’ve always had an interest in science. I’ve always had fantastic science teachers. Every science teacher I ever had was amazing.

Donnie Piercey (00:43:31):

I credit mine to Mr. Wizard. I don’t know if you ever watched Mr. Wizard and Beakman’s World?

Eric Cross (00:43:35):

I remember Mr. Wizard. Yep. Yep. I definitely remember Mr. Wizard, Beakman’s World, all those. That was on Nickelodeon back in the day. I had to get up early to watch that one. But there’s a YouTube video—

Donnie Piercey (00:43:44):

Six am!

Eric Cross (00:43:44):

<laugh> It was! It was super-early! But there was one, Don, I don’t know if you’ve seen this on YouTube, but it said “Mr. Wizard Is Mean,” and it’s just clips of when he’s—

Donnie Piercey (00:43:56):

Yelling at kids!

Eric Cross (00:43:56):

Chastising. Or being really direct. It’s just one after another.

Donnie Piercey (00:44:02):

He always asked ’em a question and if the kid, you know, didn’t answer it right, he’d be like, “Well, you’re not right, but you’re wrong.” You know, whatever. <Laugh>

Eric Cross (00:44:14):

I have to make sure I’m not subconsciously saying Mr. Wizard quotes when I’m talking in the classroom, when things are happening. But yeah, that video’s hilarious. So I just want to bring us back to AI, and ask this question: Do you think science has a special role to play when it comes to teaching kids about AI responsibly? Does science have a special role in that?

Jennifer Roberts (00:44:36):

I think the responsible piece of AI I wanna teach my students about is the part about the bias in the algorithms and the bias in the training. And I want them to understand how it works, well enough to make informed decisions about how it impacts their lives.

Donnie Piercey (00:44:56):

Hmm.

Jennifer Roberts (00:44:57):

Because I do have concerns about a tool that was trained on the internet. And the answers it gives you is the average of the internet. And do we trust the internet? And the answer from kids is always, “Well sorta, no.” <Laugh> So I want them to understand the social science behind that.

Donnie Piercey (00:45:18):

Yeah. And just along that same point, having the students recognize that just because, you know, you copy-and-paste a question in, the answer it spits out might not always be correct. So, teaching them that just like you would with a source that you find about a topic that you’re researching, you’ve gotta fact-check.

Jennifer Roberts (00:45:44):

It’s just like being a good scientist. A good scientist wouldn’t always accept a single result or the first result. You know, you would look at multiple angles. You would try things different ways. Last week I took the article my seniors were reading about victim compensation after 9-11, and in front of them, I gave ChatGPT, I said, “Are you familiar with this article by Amanda Ripley? And ChatGPT came back and said, “Oh yes, this was written in the Atlantic in 2020 and it’s about these things, blah, blah blah.” And my students looked at that and went, “That’s not the article we read.” And I said, “I know. It got it wrong. That’s amazing!” Yeah. And I was so happy that it got it wrong! ‘Cause I wanted them to see that happen.

Donnie Piercey (00:46:21):

And I guess one of the big science questions there, or one of the big science components there, is that idea of inquiry. Right? It’s almost like you have to teach students how to ask those deep questions about what AI spits out.

Eric Cross (00:46:35):

All of those tips are great. And it leads me to this last question I want to ask. New teachers that are out there — it actually doesn’t even matter; new teachers, experienced teachers, all of us are kind of new at different levels of this race. We’re all kind of starting it together. I mean, it hit mainstream. We’re all getting exposed to it. You all really dive into it. When tech comes out, I know you two really like, “OK, how can we use this to transform education and do awesome things for kids?”

Donnie Piercey (00:47:04):

Usually, when new tech comes out, “How can this make my life easier?” is usually the question. Yeah.

Jennifer Roberts (00:47:09):

“How can I save myself time with this?” Yes.

Donnie Piercey (00:47:11):

“How can this result in me watching more TV and you know, less grading,” sometimes.

Eric Cross (00:47:16):

And I start there like you, but then I end up more time that I fill with another project. And I need to learn how to stop doing that. I’m like, “Oh! I got more free time! … to go take on this other task.”

Jennifer Roberts (00:47:28):

Oh, all of my tech adoption is driven by “how can I work less?”

Eric Cross (00:47:32):

So you’re you’re talking to a new teacher, teacher’s getting exposed to this, they’re starting the school year or they’re just getting their feet wet with it. What advice would you give them about AI, incorporated into content or even just best practices? Where you’re at right now in your own journey, and someone’s asking you about it —what would you share with ’em? And Jen, I want to start with you.

Jennifer Roberts (00:47:53):

So, the first thing I did is I was in the middle of grading, you know, 62 essays from my seniors about Into the Wild, when ChatGPT became a thing last November. And I wanted to see what would happen. So the first thing I did was take the prompt that I had given my students and gave it to ChatGPT, ’cause I had just graded a whole bunch of those essays and my brain was very attuned to what my rubric was doing and what I was expecting as the outcome. So I could take what ChatGPT gave me as that quote unquote “essay” and evaluate it critically. And I was ready to do that. So my first advice is take something you’re already asking students to do and ask ChatGPT to do the same thing. So that as you look at the student results, you can compare that to what ChatGPTgives you. If what you’re finding is that ChatGPT can generate something that would earn a decent grade from you, you might need to change that assignment. And it doesn’t need to be a big change, but it might need a tweak or something, so that it, it does rely on the student voice, the students to do something more personal. I’m finding very helpful in my classroom is having my kids do projects where they are recording themselves on — I like Flip. So they’re writing a scene together and they’re having to record the scene together. And I’m emphasizing more of the speaking roles than the writing roles necessarily. So yes, first, take something you’re already doing, paste in to ChatGPT, see what the results are, see how that fits with what your students are doing, and then do that for every assignment you give and just sort of see what comes out of that, and see which assignments are failing and which assignments are working. ‘Cause that’s gonna give you a sense, when you do see one of those results from your students, you’ll be able to recognize it. But it’ll also help you tweak your assignments and decide, “How can I make this a little more original or a little bit more authentic for my students?” And if the robot, if the AI, can’t generate a response, what could the AI do that would be helpful to your students? Would be my next question. So can you use the AI to help them generate an outline? Can you use the AI to help them generate a list of steps to help them get started? And when you’re comfortable enough doing that by yourself, then don’t be afraid to open it in front of your class. If it’s not blocked at your school site, which I hope it’s not. Because I think the advantage goes to kids who have access to this in the long run, or at least see what it is and know what it is. Right? Because if a kid graduates from school without knowing that AI exists, they’re not gonna be prepared for what they face out in the world. So give them a chance to see you using it. Model effectively using it. I have a blog post about that. I just wrote it. LitAndTech.com. You can check that out. “Introducing 9th graders to ChatGPT.” How it went, right? There’s a chart there you can have. It’s my very first draft of this, but it seems to be very popular. So, you know, show students how it can be used as their mentor. If I can’t come read your paragraph because I have 36 kids in my classroom and I cannot stop and read everybody’s first paragraph, can you, if you want to, give your first paragraph to ChatGPT and ask for advice? And will that advice be helpful to you? So showing students how it can be used responsibly is, I think, something every teacher should be doing right now. And don’t hold back just because you’re afraid you’re gonna be teaching them what this is. They know what this is. Right?

Donnie Piercey (00:51:13):

They know what it is.

Jennifer Roberts (00:51:13):

Especially if you teach high school. They know what it is. I’ve had parents thank me for showing them how to use it responsibly. You know, this can actually be a really useful tool, but if you’re trying to make it do your work for you, it will probably fail you. If you’re trying to use it to help you do your work, it will probably be helpful. Sort of the way I’m breaking it down for them at this point. You want the great metaphor? The great metaphor is if you build a robot and send it to the top of a mountain, did you climb that mountain? No. If you build a robot and ask it to help you get to the top of the mountain, and you and the robot go together, did you climb that mountain? Yes.

Eric Cross (00:51:53):

I like that. I’m thinking through this. I’m processing that now.

Donnie Piercey (00:51:57):

Me too.

Eric Cross (00:51:59):

Yeah. I just imagine a robot holding my hand climbing Mount Everest and I’m like, “Yeah, I did it.”

Donnie Piercey (00:52:04):

If I got a robot though, like I would have to dress it like Arnold Schwarzenegger in Terminator 2. Like I would just have to.

Eric Cross (00:52:10):

Of course.

Donnie Piercey (00:52:10):

Of course.

Eric Cross (00:52:13):

Donnie, same question. Advice. Teachers getting immersed into it. Tips. What would you say?

Donnie Piercey (00:52:20):

So, I would definitely agree with everything that Jen said. Just, if anything else, to familiarize yourself with it. Almost like pretend like it’s a student in your classroom and it’s answering questions, just so that way you can see what it can do. And you’re kind of training yourself, like, “Oh, well, if I ever need examples, exemplars.” If you’re in a writing piece and you don’t wanna sit there and write out four different types of student responses — you know, advanced writer, beginning writer, whatever — great way to to do that is you just—

Jennifer Roberts (00:52:48):

Oh yeah. We did that.

Donnie Piercey (00:52:48):

—copy the prompt in and give a beautifully written piece that a fifth grader would be impressed with. Boom. It’ll do it for you. In my classroom, the way that I approach it is I kinda look at AI as almost like this butler that I don’t have to pay. That if I need it to do something for me, it’s just bookmarked. I can click it. And I mean, sometimes I just talk to it like it’s a person. And it’s almost like, in the chat window, I’m just rambling at it, what I’m trying to do. And it’s almost like I’m talking to a coworker, and I’m trying to hedge out some ideas for a lesson. Simple example: For a science lesson, if you’re trying to come up with … let’s say you’re a fifth-grade — or, sorry, I teach fifth grade. Say you’re a seventh-grade science teacher. And you’re trying to teach the students in your class about Newton’s third law of motion. You know, every action [has an ] equal and opposite reaction. Look around your room. See what you have. Maybe look around and you’re like, “All right, I got a whiteboard, microscope, I’ve got magnets, a cylinder. …” And you just copy all this stuff into ChatGPT. Say, like, “Hey, I have all of these items. Cotton balls, peanut butter, whatever.” And say, “I’m trying to teach students Newton’s third law of motion. Give me some ideas of some ways I could teach it using some of these materials.” And it’ll do it! It’ll give you like five to 10 ideas!

Jennifer Roberts (00:54:15):

And then tell it what your students are into. Like, my students are really into basketball. Can you work that into this lesson?

Donnie Piercey (00:54:21):

Yeah! They’re into the Avengers! Hey, find some way to tie Spider-Man into this. You know, that was a pun that didn’t go so well. But, you know <laugh> figure out some way that you could incorporate this and it’ll do it. And Eric, like you said, it won’t be perfect. Right? But if anything else, if you’re a starting teacher and you’re trying to brainstorm ideas — try it.

Eric Cross (00:54:44):

And Donnie, as you were saying that, I was thinking — first, I imagined Spider-Man shooting cotton balls with peanut butter all over them — and then my mind went to having students have these items, like you were saying. And then they create labs, working alongside AI. To do inquiry. To create a lab about something, and then going and performing and collecting data. OK, that’s — now I wanna go do that tomorrow!

Donnie Piercey (00:55:10):

Listen, it is so easy to do. If you have an extra computer in your classroom. … We were talking about Jarvis and Iron Man and Tony Stark earlier. Make a new chat in ChatGPT. Tell it, “I want you to pretend that you are Tony Stark. Only answer questions as if you are Tony Stark.” Or “Pretend you’re Jarvis.” Whatever. “Stay in character the whole time. I’m going to have sixth grade students come up to you and ask you questions about science or forces of nature, and only answer questions like you’re Iron Man.” And guess what? You keep that station in your classroom. Students are working on a project — you know, in elementary school, a lot of times we’ll have that, “ask three before me” — you’re supposed to ask three friends before you go and bug the teacher. Well, maybe one of those “three before me” can be that little computer station, where they go up and ask Tony Stark a question, and then it answers them as Jarvis or Iron Man. I mean, we’re really just scratching the surface with all this AI stuff. And as more and more companies and more and more creatives are gonna start to realize everything that it can do, we’re gonna start to see it more and more. And hopefully we as teachers can really figure out how to use this tool to, of course, help students, but also help them be creative and explore and learn on their own.

Eric Cross (00:56:35):

That’s amazing. And just both of you are just dropping gems right now. And I wanna wrap up by saying — and I’ve said this before on earlier podcasts I’ve done — but at this phase in my life, the people that I’m the biggest fans of are teachers. And it’s true. I don’t mean that in a cliche way. When I watch celebrities and things like that, when I watch professional sports, that doesn’t fill me the way it used to when I was a kid. At this point, as a professional, I get inspired by other educators who are just doing awesome things. And when I think about educators who are doing that, you two are on that list of people that make me better. And when I get better, I can do better things for my kids. And so, one, I want to thank you for staying in the classroom and continue to support students. They’re so lucky to have you both. The second thing I wanted to say is, Jen, I wanna start with you. Where can people — and I know we said at the beginning — but where can people find the stuff that you put out? You got blogs, your social, your book.

Jennifer Roberts (00:57:28):

I got lots of social. Twitter, I’m JenRoberts1 on Twitter. And then my blog is LitAndTech.com. And then I’m on lots of the new social too, the Mastodons, the Spoutables, the Posts — those kinds of things — as just Jen Roberts, because I got in early and I got my real name without a 1. And there was some other one I’m on recently that I’ve forgotten about. But there’s lots of ’em. They’re fun. And I’m Jen Roberts. You can find me there.

Donnie Piercey (00:57:56):

And I’m SergeantPepperD on AOL, if anyone’s interested.

Eric Cross (00:58:00):

If you wanna hit Donnie up on AIM. <Laugh>

Donnie Piercey (00:58:03):

SergeantPepperD.

Jennifer Roberts (00:58:04):

You know, speaking of rock stars and people who do amazing things, I did write a blog post about using ChatGPT in the classroom, but I hear Donnie wrote a whole book.

Eric Cross (00:58:13):

Oh yeah. So, Donnie! Donnie, that’s a great segue. Thanks Jen. Donnie, how do people find out more? And can you tell us about this book you wrote, that’s coming out in the summer?

Donnie Piercey (00:58:22):

Yeah, so the book I wrote is called 50 Strategies for Integrating AI Into the Classroom. It’s published by Teacher Created Materials. They reached out to me. They had seen some of the stuff that I was doing, not just with ChatGPT, but also some image-generating AI stuff. You know, I got featured on Good Morning America, which was kind of cool. And they saw that and they said, ‘Hey, that looks really neat.” Reached out to me and asked me to write a book. And the idea behind the book, that launches this summer, it’s just 50 ideas, 50 prompts, different things that, as a classroom teacher, that you can do. So, you know, I think there’s so many AI books that are out there now. A lot of them are big ideas, which I think are important. Definitely important discussions that need to be, have around, the ethics of AI. What’s the role that AI should play in the classroom. But I just wanted to write a book, kind of like the discussion that, that Jen and I were just having, which is like, “Can we just share a whole bunch of ideas, different things that we could try with our students?” So definitely check it out. And I appreciate you giving me a shout-out too. That was cool, Eric. Thank you.

Eric Cross (00:59:35):

Of course. Definitely. And Donnie, your Twitter is again. …

Donnie Piercey (00:59:39):

Oh, @MrPiercey, M R P I E R C E Y.

Eric Cross (00:59:44):

Follow Donnie. Follow Jen. Tons of stuff on there. Both of you, thank you so much. For your time, for talking about students and how we can take care of them, science, literacy, AI. I hope we can talk about this again. I feel like even if in just six months, we might be saying different things. In a year, the landscape might completely change. And that makes it really fun. But thank you both for being on the show.

Jennifer Roberts (01:00:04):

Thank you for having us, Eric.

Donnie Piercey (01:00:05):

Thank you so much, Eric. We appreciate it, bud.

Eric Cross (01:00:10):

Thanks so much for listening to my conversation with Jen Roberts and Donnie Piercey. Jen Roberts is a veteran English teacher at San Diego’s Point Loma High School and author of the book Power Up: Making the Shift to 1:1 Teaching and Learning. You can keep up with her at LitAndTech.com. And Donnie Piercey is a fifth-grade teacher from Lexington, Kentucky. He hosts the podcast Teachers Passing Notes. Stay up-to-date with him at Resources.MrPiercey.com. And let us know what you think of this episode in our Facebook discussion group, Science Connections: The Community. Make sure you don’t miss any new episodes of Science Connections by subscribing to the show, wherever you get podcasts. And as always, we’d really appreciate it if you can leave us a review. It’ll help more people and AI robots find the show. You can find more information on all of Amplify’s shows on our podcast hub, Amplify.com/hub. Thanks again for listening.

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What Jennifer Roberts says about science

“If I’m not teaching my students how to use this, then they’re not going to turn into the adults we need them to be… If we’re not at least trying to think about what our future world is going to look like, then we’re not serving our students well.”

– Jennifer Roberts

High School English Teacher

Meet the guests

Jen Roberts is a Nationally Board Certified high school English teacher with 25+ years of experience teaching Social Science and English Language Arts in grades 7-12. She has had 1:1 laptops for her students since 2008 and is the co-author of Power Up: Making the Shift to 1:1 Teaching and Learning. A Google for Education Certified Innovator since 2011, Jen was named the CUE Outstanding Educator in 2022. Her interests include literacy instruction, standards based grading, and leveraging Google tools to make her teaching more efficient and effective.

A woman with light skin and blond hair stands outdoors, framed by illustrated graphics including a blue flask and curved lines. Green foliage is visible in the background.

Donnie Piercey, the 2021 Kentucky Teacher of the Year, is a fifth-grade teacher in Lexington, Kentucky.  With a passion for utilizing technology to promote student inquiry, learning, and engagement, he has been teaching since 2007. In addition to being in the classroom, he runs a podcast, Teachers Passing Notes that is produced by the Peabody Award winning GZMShows, and holds several recognitions, including a National Geographic Fellowship to Antarctica in 2018. His most recent work in Artificial Intelligence has not gone unnoticed, earning him multiple appearances on Good Morning America, the Associated Press, and PBS. His upcoming book, “50 Strategies for Integrating AI in the Classroom” published by Teacher Created Materials, is written for educators looking for practical classroom approaches to using AI. All told, Donnie has been invited to keynote and present at schools in thirty-three states and on five continents.

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A laptop screen displays the “Science Connections: The Community” private group page, with science-themed icons decorating the background and edges.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. 

S3-02: How science strengthens literacy and language development

A graphic with the text "Science Connections" and "Amplify" features colorful circles and curved lines on a dark gray background.

In our second episode of the season, we continue finding ways that science is overlooked and how it can be better utilized in schools—and as an ally to other subjects!

We sat down with Susan Gomez Zwiep, former middle school science teacher and senior science educator and staff advocate at BSCS Science Learning. She shared past experiences and research that shows the benefits of integrating science and literacy, as well as strategies for applying these ideas in the classroom.

We hope you enjoy this episode and explore more from Science Connections by visiting our main page!

DOWNLOAD TRANSCRIPT

Dr. Susan Gomez Zwiep (00:00):
We started to see this trend of students communicating more in English because they were excited about the science that they had been learning.

Eric Cross (00:10):
Welcome to Science Connections. I’m your host Eric Cross. In this third season, we’re exploring the theme of science as the underdog. And last time around, we delved into the data showing that compared to other subjects, science is often put on the back burner. Now it’s time to explore why it’s so important to change that and how to do it effectively. So over the course of these coming episodes, we’re gonna make the case for science and equip you with data and strategies for advancing science in your own home, school, or community. To kick things off, we’re going to spend a few episodes going in depth on the integration of science and English instruction. We know we need to dramatically improve literacy rates in this country, and as we’ll show in the coming episodes, science can be a key ally in that goal. We’ll also show how language development and literacy instruction can support science. Yes, it can be a win-win, folks. To start out, I’m joined by someone who has been studying science and language development for more than a decade. Dr. Susan Gomez Zwiep is a senior science educator and staff advocate for BSCS Science Learning. On this episode, she talks about her own experience as a middle school science teacher and share some key insights and strategies from the research on integrating science and English language development. Please enjoy this conversation with Dr. Susan Gomez Zwiep.

Eric Cross (01:36):
Welcome to the podcast. Thank you for being here and having this really important conversation. So I’m so glad you can make it, Susan.

Dr. Susan Gomez Zwiep (01:43):
Yeah, I’m excited to be here.

Eric Cross (01:44):
We’re gonna talk all about language development and science. But first I was hoping that you can just kind of set the stage and tell the listeners about yourself and how you came about to studying this specific subject.

Dr. Susan Gomez Zwiep (01:57):
Sure. So I am a California native. I grew up in the San Gabriel Valley and that’s where I started teaching. I have an undergraduate degree in integrated biology from UC Berkeley. And I thought I was gonna go be a field scientist. And while I was waiting for grad school applications to run their course, I took a substitute job in Montebello to kind of bide my time. And because I had a science degree, they asked if I would take a permanent placement, well, a temporary permanent placement. And I said sure. And found myself teaching seventh and eighth grade general science to a population that at the time was about 68% English language learners, in a school that you would consider urban, under-resourced with a community that was large percentage immigrants from Mexico, Central and South America. And I never looked back. I kept that job.

Dr. Susan Gomez Zwiep (03:04):
I loved it. I love the middle school classroom. I love teaching science to my middle school students and truly, truly just found a really good home for my love of science, but also my love for talking about science and helping other people understand science. So at some point I was entertained with the idea of going to graduate school. So while I was still teaching, I actually did a Ph.D. At the University of Southern California in the science education field. And once there, realized that I actually had a unique experience in higher ed, that experience of teaching with populations that are learning English or have home languages other than English, was actually not common in higher ed circles. And being from that community was also not common. And so I pretty quickly leveraged that experience to combat what I think is universally agreed as an equity issue that in my school where I taught, the district had advocated for ELs to get an extra hour of language development in order to promote their English language proficiency.

Dr. Susan Gomez Zwiep (04:28):
And, our principal wisely said, there are not enough English-only students in this school to do that without losing all of our science teachers because there’s not enough kids left to actually fill a day, a teacher’s day. And she said, these kids learn more language in their science courses than they do anywhere else, so I don’t wanna remove that. But the reality is, is that at that time–this was in the late nineties, early two thousands–if you were not proficient in English, you went to more time with language development. And that makes a lot of sense in some ways. But when you look at the big picture, you realize, well, that means those kids aren’t going to science and they’re not having opportunities to have consistent quality science learning opportunities simply because they spoke a language other than English at home. And so that’s really how I fell into this work.

Eric Cross (05:28):
And that has a downstream effect. I mean, once you start pulling students from a course, that automatically sets the trajectory for later outcomes, which we ultimately see in STEM fields where we, we don’t see the population of our students represented in the STEM fields. Now, I know this goes back a few years, but you were doing research for your Ph.D. What did you start to follow?

Dr. Susan Gomez Zwiep (05:50):
Yeah, so I eventually took a position at Cal State Long Beach, which was not by chance, it’s a Hispanic-serving institution, and that’s where I wanted to do my academic work. And once I was there, sought funding with a district to support elementary science learning. So it had a teacher professional learning component that was both summer and in-class, sort of like PD in the classroom component. And the district came back and said, the only way you are gonna get time to even talk about science in elementary school is if it’s attached to language development. And so that’s what we did. It was a three-year grant, there was a sister grant that followed–so all told, it was about a five-year program where we basically said, what if instead of following the traditional ELD, English Language Development curriculum, we modified and put science as the context for language development in the K2 bands.

Dr. Susan Gomez Zwiep (07:01):
Teachers at the district traditionally had not been excited about their language development curriculum until we said, we’re gonna take that and we’re gonna do some science instead. And then they were like, no, no, no! We love our ELD curriculum. But they hung in there with us. The project was successful enough that it actually became a K4 and then a K5 project. The district ended up having to put in a ton of money into this because the grant only paid for so much. But their schools actually wanted “in” ’cause what they heard is when we put science as a context for language development, kids were talking more. Kids were speaking in English more. Kids were writing more. Kids were engaged. And the ultimate, kids were developing English quickly and in a community where you could actually operate within the community without speaking English. These are Spanish-speaking communities and the schools operated in Spanish outside the classroom. So if you walked into the school’s office, the principal secretary, the person who manned the door, spoke Spanish. The field supervisors that the lunch supervisors spoke Spanish.

Eric Cross (08:17):
The non-teaching staff that are supporting the rest of the students outside of the classroom.

Dr. Susan Gomez Zwiep (08:23):
Yeah. Everybody spoke Spanish and they spoke Spanish at school. And even the principals came back and said, from being in this project, that the kids were coming into the office and had transitioned to communicating in English, especially when they wanted to talk about science, and they really wanted to talk about science ’cause they were super excited about the stuff that they were learning. So we started to see this trend of students communicating more in English because they were excited about the science that they had been learning. And yeah, that sold itself and we had schools jumping in.

Eric Cross (09:01):
So you started off in a situation where you were told that you had to, if you wanna get science and you had to merge it into English, basically. And is it fair to say that that’s because of testing requirements that schools have on them? Like this is what gets analyzed or what was the purpose behind that?

Dr. Susan Gomez Zwiep (09:15):
It was district policy and it was site policy and those policies were put into place for very good intentions. Students don’t get reclassified into English only, and reclassification is how you traditionally got access to all this other programming, electives, AP college prep, all those other things. And the best way to get them reclassified was to learn English, and to learn it sooner rather than later. So it was in an attempt to get kids reclassified from English learner to English proficient.

Eric Cross (09:55):
And then during that process it was able to be expanded to K4. And then with these open-minded teachers, you gave them the content, they used science as the context for learning. And then your students who were mostly emerging bilinguals and multilingual students, you found that they started speaking English more frequently. What did you make of that result? Like what did you come to after seeing all that happen?

Dr. Susan Gomez Zwiep (10:20):
So I do wanna say that there’s a couple of reasons why we think this works so well. But I have to really acknowledge that there were linguistics, second language acquisition experts that were part of this team. And we wouldn’t have been able to make any of this work if it was purely science educators leading this cause. There’s a lot we didn’t understand about language development, and they really helped us. But one of the things that we think is unique about science, there’s a few really important aspects–one is that we all have experiences in the natural world, since we can process outside information, right? We all have observations, things we’ve observed with our eyes, we’ve heard, we’ve felt, and all of those experiences build some pretty good science ideas before we enter formal schooling. You know, kids already have ideas about this.

Dr. Susan Gomez Zwiep (11:20):
We don’t have to give them language for it. They already have these concepts and experiences. The other thing is that we are inherently interested in the natural world we occupy. And so we’re curious, science is often considered cool, there are science channels and science fiction movies and science fiction books and magazines–and this is just … it’s just cool. And that tended to be the trigger, you know, when we gave kids something interesting to observe. A Ziploc bag with water that we added an Alka-Seltzer to, and strange things starts happening in the baggie. That curiosity, that excitement allowed kids to leap over any concerns they had about the language they were supposed to use in the classroom. One of the most difficult things about learning a language is using a language that is imperfect. So saying things and communicating in a language that you are not a hundred percent confident about, that you’re not sure you’re using the right words or the right tenses. But when kids were excited about this thing in a Ziploc bag, they didn’t care. They communicated however they could, sometimes in their primary language or their home language, sometimes in imperfect English, but by and large they just communicated. They did it in oral language, like listening and speaking, but they also did it in writing. And that was easy. Like we didn’t have to do anything other than provide interesting science experiences. And that’s, that’s pretty common.

Eric Cross (13:06):
Yeah. I feel like, to co-sign on the science is cool, it is objectively, if a matter of fact, even just looking at the Oscars, like we have multiverse, you know, we have sci-fi you know, the costume designer of Wakanda Forever. We have all of these different movies that are all founded in some kind of these scientific principles. And so the idea that science is cool and organic, naturally engaging is something I think we, we all can connect to and it resonates with all of us. So I feel like is sort of your origin story too.

Dr. Susan Gomez Zwiep (13:33):
That’s the origin story.

Eric Cross (13:34):
That’s the origin story right there, to continue with this like movie theme. Now if we fast forward to today, based on all the research that you’ve seen since then, and your experience, why would you advocate merging English language development and science?

Dr. Susan Gomez Zwiep (13:49):
Well, for one, the research that we conducted actually provided some really nice evidence that showed, even though we had essentially stole minutes from language development time and inserted science. And on state mandated tests and on their students’ language proficiency measures, the kids in the program with the blended, did significantly better than students who were getting ELD instruction alone. Traditional ELD instruction. And that kind of blew our mind. We would’ve been happy if they had done just fine. Like we could put science into a student’s day and do no harm. They could get their language development; they could get science. But in fact, what we found was that they did better. That they actually gained English more quickly and it showed up in multiple measures, including the state English language arts assessment, which again, kind of blew our mind.

Eric Cross (14:55):
So just to be clear about the study that you did, you looked at two groups and one was the blended science and English language development, and then the other one was a control group. And the blended group ended up showing more improvement.

Dr. Susan Gomez Zwiep (15:09):
Yes. So there’s quite a bit of research now, this research was done in the early two thousands, and the research has built around it to really suggest that this does seem to be a more efficient way to promote language development while still maintaining students’ access to a core content area. But in recent years, the standards have shifted and that has been just a remarkable, wonderful change. And both standards have shifted. So when we did our research, we did it under the old California Science standards that were fairly heavy in technical terms. They were heavy in science concepts rather than kids doing things. And they were a much narrower focus.

Eric Cross (16:04):
And these are the standards that most of us grew up on, right? Those of us who are pretty much teachers in the classroom today pretty much grew up on what you’re talking about. Is that fair to say?

Dr. Susan Gomez Zwiep (16:12):
That’s fair to say, yes. So the new standards that we have now, the California NGSS Standards emphasize not just ideas, but they also emphasize students doing things in science. And we didn’t have to build-in language portions to the standards. They now exist. The NGSS is a very, very rich linguistic opportunity for students. And at the same time, the way we’ve thought about language development has also shifted. We used to talk about language and science… we used to think about science as a lot of words, and you had to know the words, you had to have this technical language. And we’ve sort of shifted that to really thinking about, language is no longer a prerequisite for science learning. Language is now developed through the science learning or the content learning experiences.

Eric Cross (17:11):
So now there’s more chances to integrate English into science. Have you seen success stories or have you seen examples of this? Maybe just anecdotes of teachers kind of doing this since you’ve been doing this research and kind of watching. If so, would you mind sharing one or two?

Dr. Susan Gomez Zwiep (17:30):
Yeah. And I will just give a nod to Dr. Dr. Okie Lee who’s now at NYU who has really led sort of this reconception of language and science. And one of the ways she talks about it is this notion that I enter this learning experience, I enter this observation of this phenomena with fairly naive, simple scientific ideas. And my language about it is equally simple. But as I develop more and more ideas, as my understanding of the phenomenon, what I figured out becomes more sophisticated, I need more sophisticated language. And so what we’re starting to see are these spaces where teachers are building science ideas and science and understanding along with the language. And in order to do that, you really need to know what’s the storyline arc of my science lesson? What do they figure out in lesson one? What do they figure out in lesson two?

Dr. Susan Gomez Zwiep (18:35):
What do they figure out in lesson three? How are the science ideas building over time? So that I can then look at the language that they’re using and what language supports do I need in order to allow students to not only engage and figure things out, but communicate their ideas about it. And so we’re seeing teachers blow up what we call language, what we call text. It’s not just words. It’s not just sentences written on a paper, but it’s models, it’s pictorial representations, it’s gestures, it’s this wide range. We pretty much said, let’s blow language up. Let’s like use all of the linguistic registers that we have in order to make meaning of what we’re seeing it in together in this classroom. So that’s one thing that we’re starting to see. The other thing is that teachers are really allowing students opportunities to use what we call social language, non-standard dialects.

Dr. Susan Gomez Zwiep (19:40):
The language I use at home and with my friends. Because earlier I had said, we have all these experiences and those experiences in the world are tied up in my social register. They’re tied up in my home language ’cause that’s where I experience them. And to let students have access to using that language in the classroom, especially initially in a unit, means we’re giving ’em access to those experiences that they have that are related to the phenomena under study. So I totally understand the benefit of promoting academic language and promoting language frames and forms that we use in more academic settings. But it’s a sticky wicket. You have to be careful how you tell students about the way you want them to communicate. Because when we tell them that language that you use at home with your friends and family is not welcome here, we can send a message that they’re not welcome here. And that those experiences that they have outside of classroom about how things fall, the way sunlight heats up different surfaces, where you’ll find plants and what plants you will find based on conditions. All of those experiences, we’re sending a message that those are not welcome in the classroom. And so this expansion of language, including non-standard dialects and even home language, is really important for letting students bring their whole selves into the classroom.

Eric Cross (21:23):
I love what you just said. It legitimizes the funds of knowledge, the language, the cultures that our students are bringing to the table. I remember when I first learned the word code-switching in college and you know, I’m biracial, I grew up in my home community and my school community were two different communities and I ethnically, culturally belonged to both. And I had to code-switch in order to kind of survive and be accepted into different communities. And not until I was in college did I actually understand what I was doing. Now there were all kinds of teasing and jokes that went on to how I would talk if I code-switched improperly. And in my classroom, I would see students who would explain concepts in a way that was maybe like a casual register. They just were explaining it the best way they could.

Eric Cross (22:10):
And the way they were speaking was kind of denigrated or it was seen as negative even though they were communicating their concept. And when I became a middle school teacher, one of my, I don’t know, it’s like sometimes when you teach, you get to, you change how you were taught or what you experience and legitimizing my students’ language, and they would tell these beautiful stories and in their most common like, casual language, but they’re explaining the concept brilliantly. And it was phenomenal to see this barrier be removed of saying, you have to talk like this in order to be a scientist or you have to say these right words. And, and that’s what I feel like I’m hearing that in how you’re describing kind of how science has been done and what language can do to certain groups of students.

Dr. Susan Gomez Zwiep (22:58):
Yeah, very much so. And you know, back to the origin story, you know, I grew up in a multi-generational household. My mom, my aunt, my grandmother, Spanish was their first language, but they lost it because my mom was raised in Riverside and she, you know, went to school in the, the fifties and sixties and back then you weren’t allowed to speak Spanish at school. And so they lost the language.

Eric Cross (23:27):
They weren’t allowed to speak it at all.

Dr. Susan Gomez Zwiep (23:29):
At all. I didn’t directly observe it, but that is the story that my family tells, that there was no English spoken anywhere on school grounds. And that was a different issue. Right? That was very much for people unfamiliar with some of the history in Southern California. Their segregated schools, severe racism, linguistic racism, racial racism against Mexicans was a real thing. But yet I grew up in this household where the sort of way of speaking, like I think many Mexican households, the context is everything. So you can’t get to the facts until you’ve told the whole context of everything happening around it. So we used to joke that we couldn’t send my grandmother to the doctor by herself ’cause he had 15 minutes, and she was gonna take 20 just to tell him how she got there before she got to why she was there. But this telling of the context, the telling of the story around the idea is part of the linguistic, this sort of linguistic way of my household. When I got to school, I had to learn to drop it because teachers found me off topic. You know, I still have to be careful how I express things and sometimes I’m not a fast storyteller <laugh>, and I monitor that for myself. So I can only imagine what it’s like to be a kid in a classroom.

Eric Cross (24:59):
Right. And there are so many constraints in the school day, you know, especially if you’re multi-subject and you’re elementary and you’re teaching multiple subjects and someone’s trying to tell a story and you’re just like, land the plane! And they’ve, you know, gotta tell ’em the story, but realizing that when you look at it through a lens of like, culturally, this is how we communicate, then it reframes what the student is trying to do. They’re communicating to you based on how they’ve learned to communicate and they’re including essential parts of the story. And so how do you both honor that while also, you know, certain things like brevity and being concise and things like that that they’ll have to learn. But also honoring that and making sure that there’s space for that in your classroom. Even me, I’m thinking about this where I had students record this video and it was one minute to two-and-a-half minutes explaining three concepts. And I had students coming up to me afterwards saying, Mr. Cross, I need to record two videos because two-and-a-half minutes is not long enough. And I was like, how? I even extended it. But I’m realizing and listening to you and going, they’re probably not just getting to the point. They’re probably including more context into this because that’s how they story tell and that was actually part of the lesson.

Eric Cross (26:12):
So now I need to go back and extend their time that I’ve given them for <laugh> that project. I wanna come back to kind of, since we’re on this topic about why this is also an equity issue. Mm-hmm. <affirmative>. So we were talking about language, you touched on this a bit, and we were talking about integrating into science, but can we go a little bit further into how this integrated approach maybe can benefit English language learners in particular? And maybe anything else that’s related to equity that comes to mind.

Dr. Susan Gomez Zwiep (26:40):
So there’s a couple of layers of the equity issue. The most tangible and clear is student access. If we wait until students develop English proficiency to allow them access to quality science learning, we lose a tremendous number of students that could not only could they benefit from science, we could benefit from their entering this science conversation. And I was at a university and I was in a college of natural sciences and we were dedicated to increasing the diversity of the faculty. And it was a struggle ’cause the number of Ph.D. science ed or biology or chemistry academics that come from marginalized populations is very, very small. And it’s not by accident. You know, the number of students that make it into the next level, that make it into college prep courses, that make it into STEM majors, that complete STEM majors and go on to either careers or advanced degrees narrows at every possible step.

Dr. Susan Gomez Zwiep (28:01):
And so the equity issue is really one of access. And as basic as that is, it’s the easiest to solve. So that’s the first layer of equity. But the second issue around equity is how we engage these students once they’re in this space. Do we make it possible for them to see themselves as a scientist or an engineer? Are we creating learning experiences that not only allow them to use all the sense-making resources that they have, but do we make them feel like they’re valuable and useful in that space? Because there’s a lot of people that will say, I could be successful as a scientist, but I’m not willing to give up who I am in order to do that. And that’s a real thing. There’s a lot of research about like, why are they leaving? Like why, you know, is it because they’re not able?

Dr. Susan Gomez Zwiep (29:05):
Is it because they don’t see themselves as being capable? And now I think we’re looking at this as a different issue. It’s not that students don’t see themselves as capable and not that they’re not achieving. They see the cost that it will take to enter these fields and essentially not be able to be their full selves. So that’s the second equity issue. And in both cases we lose. As a society, we lose. We lose access to the full range of human resources that we have, and we lose access to their unique perspectives that they would bring to real problems facing us. It’s like all hands-on deck. We need to stop making it too difficult to participate in the conversation and we need to be more inclusive about how we invite these other perspectives and how we respect and utilize their ways of sense-making. That may not be Western science ways that we have in our books now, but hopefully those science materials are gonna change and we’re gonna start to see other ways of sense-making and other people involved in the stories that we tell around science concepts.

Eric Cross (30:29):
And just to be clear, this practice in integration, while it lifts up equity for marginalized or underrepresented groups or students who are emerging bilinguals or students who typically we don’t see representation of, this approach also benefits native speakers as well. Correct?

Dr. Susan Gomez Zwiep (30:47):
Yeah. And there’s actually a group of native speakers that come from text poor homes. It’s typical in underserved communities. Poor people living in poverty that may be native English speakers. They may not be marginalized populations. But they don’t have access to like text. And so that’s another group altogether that needs linguistic support. And then once you have all voices in the room contributing, everybody benefits because now the conversation, the building understanding conversation we’re having or the sense-making conversation that we’re having has everybody involved. And we all benefit from that.

Eric Cross (31:33):
And we see, I think one of the benefits about a country like the U.S., is we have such a heterogeneous group of people. And when we’re moving in the same direction, we’re all coming to the same problem, but from different perspectives and we’re able to come up with more innovative and novel solutions to them. And that’s kind of what I’m hearing is like as we generate scientists that are all coming from different backgrounds, we’re gonna be able to solve future problems, current problems a lot more effectively because nobody has a monopoly on perspective. Nobody has a monopoly on knowledge or the fastest way to do something or the best way to do something.

Dr. Susan Gomez Zwiep (32:11):
Right. Right. And traditionally we really have privileged particular experiences, particular ways of sense-making particular linguistic registers. And if we could just kind of put that privileged ways aside and open up space for everybody to feel like they have a voice, I think the next generation could change the world. I think they could solve some real problems. I’m truly hopeful that they would see themselves not just as capable, but as necessary in these pursuits.

Eric Cross (32:50):
So what does it actually look like today to do this work in instruction well? So to integrate the science, to integrate literacy, to take the benefits of the things that we’ve been talking about. What are some practical things that educators could do to get started, whether it’s in early, you know, K5 or middle school or even high school.

Dr. Susan Gomez Zwiep (33:13):
So I will say, I’m gonna kind of separate ’cause in the elementary space, students are primarily developing literacy in multiple languages. The language of the classroom, typically English, home language, languages, they may be multilingual. In the secondary setting where students tend to have developed social language in some language, it’s a little different. So I’m gonna kind of separate those two. So for elementary spaces where teachers tend to teach multiple things, I recommend that you get a partner. Don’t do this work alone. You cannot do this work alone. I mean you can, but it’s very frustrating and not nearly as much fun. So you really wanna take a look at what is the science that kids are going to be engaged in. Because when we look at science first and build language development around it, the experience tends to be more authentic and organic.

Dr. Susan Gomez Zwiep (34:18):
And what we used to do is we used to, like when we were talking about the science, we’d monitor the language we were using and then use that to say these are the registers. This is the language that we use when we were thinking about this. So if students are gonna use this, these are the scaffolds they’re gonna need. ‘Cause to do it, well, to do it efficiently, the scaffolds need to be specific to the science learning. So if we’re doing cause and effect, those are specific linguistic scaffolds that are different than if, say we’re doing model and systems and systems models, those are a whole other slew of scaffolds. And so you wanna be really tending to, what is the science being discussed and what is the language that kids are going to use and build scaffolds around it.

Dr. Susan Gomez Zwiep (35:10):
And then you also wanna think about what is the social language? What are the experience that kids will have either in words or pictures that I can leverage in this space. And then you wanna do that for the arc of the unit and slowly increase sophistication around those linguistic supports, as well as the science learning. But if kids have social language and they’re now in, there’s a group we call long-term English learners who have not been reclassified way beyond what the typical reclassification is. And that actually is important to think about because if you think about the kinder group, the group of kindergartners that enter a school when they’re five or six, those kids are going to go from grade to grade to grade. And as students develop proficiency, will get reclassified and they move out of this group that we’re still calling English learners.

Dr. Susan Gomez Zwiep (36:10):
So by the time you get to like seventh, eighth, ninth grade, if they’re still students in that category, they have very different needs on average than the group we started with. Often when we talk about secondary or these long-term English learners, we can leverage social language a lot more, but have to build the scaffolds more carefully around, for lack of a better word, the more academic content transferring that those social nonverbal language into more sophisticated forms. I think in any setting, you wanna utilize your resources. If I’m in a secondary space and I have a language development teacher and I’m not talking to her or him or they, that’s a problem. You need to go talk to the other people that have these same kids and talk to them about, how are you engaging in language, what are you doing?

Dr. Susan Gomez Zwiep (37:07):
Because you know, you could actually have a lesson, maybe this is a lesson about energy and you’re using a model and the kids are creating an initial model. And over in ELD land, they’re doing some linguistic supports. They’re working on some forms and functions of language. You could talk about the catapult, you could talk about the solar heater. You could use the context of the science conversation, which has a whole bunch of tangible experiences. You know, there’s the solar heater in front of you. I don’t need to keep it all in my head ’cause it’s in front of me and we can point to things and talk about things by manipulating the materials. And then I can take all of that and my ELD partner can use that as context when available. But it takes collaboration, but it’s collaboration well spent. And it’s more challenging in the initial phases of the collaboration. Once you kind of the get into the groove, it becomes a lot easier.

Eric Cross (38:16):
The meta of this, as we talk about integrating science and literacy is, and this is great advice, but it’s basically integrate your science teachers with your English teachers and co-plan and do this work together. It’s a force multiplier. One, you’re both, you’re getting two specialists together. It also, I’m just listening to just the parallels. It also resembles what you actually do in the STEM fields of collaboration working together to problem-solve, and you’re modeling for your students what you want to happen. And if I was an administrator listening to this, someone who had control, like master schedules and things like that, there also needs to be space created for these teachers to talk to each other and plan and do all these other things to kind of maybe come up with like interdisciplinary units or even just meet and begin the conversation. It just seems like such great advice.

Dr. Susan Gomez Zwiep (39:07):
Yeah. We’re professionals. We have academic degrees and credentials and experience in the classroom and yet more often than not, we leave it to the students in the seats to make the connections between my class and the class they go to next. And that’s not fair. We need to be talking to each other. So if we’re talking about argumentation, argumentation in science and argumentation in ELA and argumentation in math–we’re not even talking about the same thing. I mean, cognitively we’re talking about taking some evidence and creating a claim and supporting it, but what we mean by evidence is very different in the different disciplines. What counts as more convincing evidence changes. And yet we assume that because we say evidence in one class, the kids know what we’re talking about. And the kids are sitting there going, which one is this? Which evidence are you talking about? Because last period it was something else. And so I think we also need to really consider who’s in the best position to clarify the connections and the integration because we leave it to kids more often than not right now.

Eric Cross (40:19):
I agree. Just having those conversations and defining your terms and agreeing on them just to make it easier for students. ‘Cause you’re right, they are left to make those connections or bridge the gaps. And when you have an education system for many schools, I think most of us, it’s still pretty siloed. You’re still kind of like, especially when you’re in secondary, it’s we’re doing this or even elementary, different times of the day you do different subjects, versus the way that we experience life itself or even our professions. We’re actually integrating science and math and reading and writing throughout the day, and ebbs and flows going back and forth. And without making those explicit connections, we’re leaving a lot of things to chance, hoping that the learning’s there in such a valuable moment. Before we go, I’m wondering if you have a parting message for listeners about the topic of integrating science and literacy. You’ve already said so many amazing things, but you have the platform speaking to educators and folks out there. What would you wanna say to them?

Dr. Susan Gomez Zwiep (41:18):
This is not an easy endeavor. The system that we operate in does not make this effort easy, but it is worth it. It is worth it to the kids in our classrooms. It is worth it to the building of a scientific community and a scientifically literate populace. It’s important to solving problems in the future. It’s important to have kids feel like regardless of how they say things, that they belong in a classroom. If we can relax the sort of linguistic demands on kids and let them enter science learning in a way that allows them to use all their resources and they’re curious, they can really leverage both areas in a way that they don’t do individually. It’s really hard to think about what it is I’m trying to say if I’m worried about how I have to say it. And so we really need to think about, when are those times that we’re gonna let kids just tell us what it is that they’re excited about and when is it that we’re going to help them craft a more formalized language around those ideas. Right now we do a really good job at that second half. We need to do better at the first.

Eric Cross (42:46):
Susan, thank you so much for joining us today and for sharing your expertise and your wisdom and your passion for serving the students and for bringing everybody to the table through language and through science. We really appreciate it and the listeners will too.

Dr. Susan Gomez Zwiep (43:03):
Thank you so much. This is my favorite topic.

Eric Cross (43:06):
Thanks so much for listening to my conversation with Dr. Susan Gomez Zwiep, senior science educator and staff advocate at BSCS Science Learning. And please remember to subscribe to Science Connections so that you don’t miss any of the episodes in this exciting third season. And while you’re there, we’d really appreciate it if you can leave us a review. It’ll help more listeners find the show. Next time on the show, we’re going to continue exploring the how and why of integrating science and literacy instruction.

Speaker 3 (43:35):
When we interview scientists, they spend a lot of their time reading the work of other scientists and writing their findings, writing grant proposals, presenting at conferences. A huge part of the work of a scientist is not just at a bench conducting experiments, but even if you’re conducting experiments, you’re using your literacy processes to think about what you’re seeing in your experiment.

Eric Cross (43:57):
That’s next time on Science Connections. Thanks so much for listening.

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What Dr. Susan Gomez Zwiep says about science

“When we used science as a context for language development, kids were talking more, kids were writing more, kids were engaged.”

– Dr. Susan Gomez Zwiep

Senior Science Educator, BSCS Science Learning

Meet the guests

Susan Gomez Zwiep began her career in science education as a middle school science teacher in Los Angeles where she spent over 12 years working in urban schools. Prior to joining BSCS, Susan worked at California State University, Long Beach as a Professor of Science Education.

Susan has also worked as a Regional Director for the K-12 Alliance, providing high-quality professional development in science and mathematics for K12 educators, including the CA NGSS Early Implementer Initiative. Susan consistently works toward establishing equitable access for all students to rigorous, inquiry-based science instruction and supporting teachers in their journey to become advocates for students, science education, and their own professional development.

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About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. 

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A closer look at grades 3–5

Amplify Science is based on the latest research on teaching and learning and helps teachers deliver age-appropriate, high-quality, literacy-rich instruction that enables students to take on the roles of scientists and engineers to solve real-world phenomena every day.

In the 3–5 classroom, this looks like students:

  • Collecting evidence from a variety of sources.
  • Making sense of evidence in a variety of ways.
  • Formulating convincing scientific arguments.
Collage of four educational activities: 1) drying a paper model with a hairdryer, 2) two girls observing a science experiment, 3) children making a mixture, 4) adult hand watering a plant in a clear container.
Graphic showing a research process with four steps: spark intrigue with a real-world problem, explore evidence, explain and elaborate, and evaluate claims, connected in a cycle with arrows.

Program structure

Our cyclical lesson design ensures students receive multiple exposures to concepts through a variety of modalities. As they progress through the lessons within a unit, students build and deepen their understanding, increasing their ability to develop and refine complex explanations of the unit’s phenomenon.

It’s this proven program structure and lesson design that enables Amplify Science California to teach less, but achieve more. Rather than asking teachers to wade through unnecessary content, we designed our 3–5 program to address 100% of the California NGSS in just 88 days.

Scope and sequence

Every year of our grades 3–5 sequence consists of 4 units and 88 lessons. Said another way, each unit contains 20 lessons plus two dedicated assessment days (a Pre-Unit Assessment and End-of-Unit Assessment).

Lessons for grades 3–5 are written to last a minimum of 60 minutes, though teachers can expand or contract the timing to meet their needs.

Educational curriculum chart showcasing a progression of amplify science lessons from kindergarten to grade 5, categorized by grade and subject areas like plants, animals, weather, and energy.

Unit types

Each unit delivers three-dimensional learning experiences and engages students in gathering evidence from a rich collection of sources, while also emphasizing a particular science and engineering practice.

In grades 3–5:

  • One unit emphasizes the practice of investigation.
  • One unit emphasizes the practice of modeling.
  • One unit emphasizes the practice of engineering design.
  • One unit emphasizes the practice of argumentation.
Investigation Units

Investigation units focus on the process of strategically developing investigations and gathering data to answer questions. Students are first asked to consider questions about what happens in the natural world and why, and are then involved in designing and conducting investigations that produce data to help answer those questions.

Modeling Units

Modeling units provide extra support to students engaging in the practice of modeling. Students use physical models, investigate with computer models, and create their own diagrams to help them visualize what might be happening on the nanoscale.

Engineering Design Units

Engineering design units provide opportunities for students to solve complex problems by applying science principles to the design of functional solutions, and iteratively testing those solutions to determine how well they meet preset criteria.

Argumentation units

Argumentation units provide students with regular opportunities to explore and discuss available evidence, time and support to consider how evidence may be leveraged in support of claims, and independence that increases as they mount written arguments in support of their claims.

Units at a glance

Una ilustración de un tren de alta velocidad moderno y aerodinámico que viaja por una vía elevada con un paisaje verde de fondo.
Balancing Forces

Domain: Physical Science

Unit type: Modeling

Student role: Engineers

Phenomenon: The town of Faraday is getting a new train that floats above its tracks.  

Download unit guide

Download lesson planner

An illustration from the Inheritance and Traits unit
Inheritance and Traits

Domain: Life Science

Unit type: Investigation

Student role: Wildlife biologists

Phenomenon: An adopted wolf in Graystone National Park (“Wolf 44”) has some traits that appear similar to one wolf pack in the park and other traits that appear to be similar to a different wolf pack. 

Download unit guide

Download lesson planner

An illustration from the Environments and Survival unit
Environments and Survival

Domains: Life Science, Engineering Design

Unit type: Engineering design

Student role: Biomimicry engineers

Phenomenon: Over the last 10 years, a population of grove snails has changed: The number of grove snails with yellow shells has decreased, while the number of snails with banded shells has increased.  

Download unit guide

Download lesson planner

An illustration from the Weather and Climate unit
Weather and Climate

Domains: Earth and Space Science, Engineering Design

Unit type: Argumentation

Student role: Meteorologists

Phenomenon: Three different islands, each a contender for becoming an Orangutan reserve, experience different weather patterns.  

Download unit guide

Download lesson planner

An illustration from the Energy Conversions unit
Energy Conversions

Domains: Physical Science, Earth and Space Science, Engineering Design

Unit type: Engineering design

Student role: System engineers

Phenomenon: The fictional town of Ergstown experiences frequent blackouts.  

Download unit guide

Download lesson planner

An illustration from the Vision and Light unit
Vision and Light

Domain: Physical Science, Life Science, Engineering Design

Unit type: Investigation

Student role: Conservation biologists

Phenomenon: The population of Tokay geckos in a rain forest in the Philippines has decreased since the installation of new highway lights.  

Download unit guide

Download lesson planner

An illustration from the Earth's Features unit
Earth’s Features

Domain: Earth and Space Science

Unit type: Argumentation

Student role: Geologists

Phenomenon: A mysterious fossil is discovered in a canyon within the fictional Desert Rocks National Park.  

Download unit guide

Download lesson planner

An illustration from the Waves, Energy, and Information unit
Waves, Energy, and Information

Domains: Physical Science, Life Science, Earth and Space Science, Engineering Design

Unit type: Modeling

Student role: Marine scientists

Phenomenon: Mother dolphins in the fictional Blue Bay National Park seem to be communicating with their calves when they are separated at a distance underwater.

Download unit guide

Download lesson planner

An illustration from the Patterns of Earth and Sky unit
Patterns of Earth and Sky

Domains: Physical Science, Earth and Space Science

Unit type: Investigation

Student role: Astronomers

Phenomenon: An ancient artifact depicts what we see in the sky at different times — the sun during the daytime and different stars during the nighttime — but it is missing a piece.  

Download unit guide

Download lesson planner

An illustration from the Modeling Matter unit
Modeling Matter

Domain: Physical Science

Unit type: Modeling

Student role: Food scientists

Phenomenon: Chromatography is a process for separating mixtures. Some solids dissolve in a salad dressing while others do not. Oil and vinegar appear to separate when mixed in a salad dressing.  

Download unit guide

Download lesson planner

An illustration from the Earth System unit
The Earth System

Domains: Earth and Space Science, Physical Science, Engineering Design

Unit type: Engineering Design

Student role: Water resource engineers

Phenomenon: East Ferris, a city on one side of the fictional Ferris Island, is experiencing a water shortage, while West Ferris is not.  

Download unit guide

Download lesson planner

An illustration from the Ecosystem Restoration unit
Ecosystem Restoration

Domains:Physical Science, Life Science, Earth and Space Science, Engineering Design

Unit type: Argumentation

Student role: Ecologists

Phenomenon: The jaguars, sloths, and cecropia trees in a reforested section of a Costa Rican rain forest are not growing and thriving.  

Download unit guide

Download lesson planner

Creating lasting change in K–5 math and literacy instruction

Two women seated at a table engage in a lively conversation. One is using a laptop, likely discussing innovative teaching practices. Bookshelves filled with resources for empowering students are visible in the background, perhaps hinting at their dedication to star awards in education.

Transforming math and literacy education takes more than just tips and tricks—it requires vision, commitment, and the right support. Whether you’re rethinking early literacy skills instruction, refining math core curriculum, or fostering a culture of collaboration, you need strong leadership and proven strategies for real change to occur.

“Sustained, meaningful change doesn’t happen overnight,” said Kymyona Burk, Ed.D., a senior policy fellow at ExcelinEd and the keynote speaker at our recent Leading With Vision symposium. “It requires commitment, collaboration, and a clear vision for supporting both educators and students.”

At the symposium—which included keynotes, panels, and math and literacy tracks—education experts from across the country shared experiences navigating instructional shifts, leading curriculum implementation, and setting schools up for success. From building buy-in to making data-driven decisions, their actionable insights can empower you with the knowledge and tools to create lasting change in your district.

Read on for a recap of the core presentations. You can also watch or listen along—and, for extra credit, download the workbook to deepen your learning.

Opening keynote: Key Factors for Successful Transformation in Literacy and Math

Kymyona Burk, Ed.D.
Senior Policy Fellow, ExcelinEd

In her session, Kymona Burk made the case that real student learning progress in literacy and math doesn’t come from policy alone—it requires systemic, research-based change in classrooms. Too often, schools focus on interventions for struggling students instead of strengthening core instruction to prevent gaps in the first place. She pointed to Mississippi’s success in narrowing achievement gaps as proof that evidence-based teaching, teacher support, and family engagement drive meaningful, lasting improvement.

A key factor in that success, she argued, was a firm commitment to the Science of Reading. “We have decades of research on how children learn to read, and we can’t afford to ignore it,” she said.

Burk also stressed math’s similarities to literacy when it comes to effective teaching methods. Just as students need structured, research-backed reading instruction, they also need math teaching and instructional materials that build deep understanding rather than rely on rote memorization. Achieving this, she said, requires strong materials, better teacher training, and a commitment to using data to refine strategies. The path to better outcomes isn’t a mystery—what’s needed is leadership and persistence.

Key takeaways:

  • Tier 1 instruction is the foundation. Schools must prioritize high-quality core instruction to prevent learning gaps.
  • Literacy and math both need urgent attention. Math reform has lagged behind literacy efforts, but both require evidence-based teaching and structured support.
  • Teachers need more than just training. Professional development must be paired with coaching, collaboration, and access to the right materials.
  • Sustained effort leads to results. Mississippi’s success proves that achievement gaps can be closed with consistent investment in people, resources, and accountability.

Leadership Lessons Learned in Baltimore City Schools That Impact Change Everywhere

Janise Lane
VP of Customer Transformation, Amplify; former Executive Director of Teaching and Learning, Baltimore City Schools

Janise Lane’s talk centered on Baltimore City Schools’ multi-year effort to implement a more effective literacy curriculum, highlighting the importance of managing both the logistical and emotional aspects of change. While the district had strong, committed educators, student performance remained stagnant, prompting a curriculum audit and a shift toward evidence-based instruction.

Lane described how to build buy-in and sustainability by ensuring that change is not dictated solely by district leadership. “We had to shift from a system where decisions were made at the top, to one where teachers, families, and community members were true decision-makers,” Lane said.

She also emphasized the need to recognize and address resistance. “Everybody approaches change differently, and it’s our job as leaders to attend to all of those emotions,” Lane said. The key to success, she noted, is creating structured pathways for implementation while remaining adaptable and open to feedback and real classroom experiences.

Key takeaways:

  • Balance structure with flexibility. A clear plan is necessary, but it must adapt based on feedback, data, and the realities of implementation.
  • Small wins build momentum. Celebrating early progress helps shift mindsets from skepticism to belief in the change.
  • Trust and transparency matter. Educators need to see that leadership is engaged, responsive, and committed to making change work for everyone.

Making Math People: Key Shifts in How We Think of Math Assessment

Patrick Callahan, Ph.D.
Educator; Founder, Math ANEX

During his talk, Patrick Callahan emphasized the ways that asset-based assessments measure not just what students don’t know, but the depths of their mathematical thinking. Instead of relying on traditional multiple-choice tests, his approach encourages open-ended responses, allowing teachers to analyze how students arrive at their answers.

Callahan noted that by looking beyond correctness to understand reasoning, teachers can better target instruction. “If all I see is that 37% of my students got an area problem right, I might think I need to reteach area,” Callahan explained. “But if I analyze responses, I see that some kids are correctly multiplying but misunderstanding overlapping rectangles, while others are actually calculating perimeter instead. That tells me exactly where to focus my instruction.”

His research also shows a correlation between students who demonstrated conceptual understanding (such as interpreting remainders in division problems) and higher performance on standardized tests—evidence that fostering deep thinking supports both engagement and achievement.

Key takeaways:

  • Assessments should focus on thinking, not just accuracy. Open-ended questions provide deeper learning opportunities.
  • Targeted teaching saves time. Knowing why students struggle prevents unnecessary reteaching.
  • Classroom discussions boost comprehension. Encouraging students to explain their thinking deepens understanding.

Creating a Supportive Environment for Educators During Times of Instructional Change

Ricky Robertson
Educator; author; consultant

“The number one influence on team effectiveness is psychological safety,” Ricky Robertson said during his symposium session. “Not how talented the individuals are, but how they interact with one another.” His talk focused on how the knowledge that one can speak up without fear of punishment or humiliation affects school culture, educator well-being, and student success, citing research such as Google’s Project Aristotle that demonstrates how high-performing teams thrive not on individual expertise but the quality of interactions among team members.

He also noted that toxic workplace dynamics—such as fear-based leadership, cliques, and bullying—contribute to burnout, disengagement, and resistance to change. Stressing that “strategies don’t transform schools, systems do,” he shared case studies of schools that changed their culture by fostering open communication, restructuring leadership teams, and implementing clear decision-making processes. Creating a safe environment isn’t just about being nice, Robertson said. Robertson noted that creating a safe environment isn’t just about being nice, but about building systems that allow educators to collaborate, support one another, and better serve their students.

Key takeaways:

  • Psychological safety boosts performance. Schools that report a high sense of psychological safety see increased collaboration, innovation, and teacher retention.
  • Structured collaboration matters. Schools with clear communication protocols and leadership structures create more productive teams.
  • Change starts with educators. Supporting teachers’ well-being and professional growth is the foundation for student success.

More to explore

Welcome, Ellensburg, to Amplify Desmos Math!

Amplify Desmos Math K-5 thoughtfully combines conceptual understanding, procedural fluency, and application. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals.

Scroll to learn more about the program and explore sample materials.

About the program

We believe in math that motivates. Our structured approach to problem-based learning builds on students’ curiosity to develop lasting grade-level understandings for all students. 

The program motivates students with interesting problems they are eager to solve. Teachers can spend more time where it’s most impactful: creating a collaborative classroom of learners.

A powerful suite of math resources

Amplify Desmos Math combines the best of problem-based lessons, intervention, personalized practice, and assessments into a coherent and engaging experience for both students and teachers.  Feel free to explore our grade-level ancillary samplers to learn more about assessment and reporting, intervention, and differentiation:

Grade K Ancillary Sampler

Grade 1 Ancillary Sampler

Grade 2 Ancillary Sampler

Grade 3 Ancillary Sampler

Grade 4 Ancillary Sampler

Grade 5 Ancillary Sampler

A laptop displays a math problem with illustrated students and a virtual keyboard. Behind it, a chart shows percentages for a Math 2 Beginning-of-Year Screener assessment.

Assessment

mCLASS® Assessments, along with daily formative checks, measure not only what students know, but how they think. The asset-based assessment system provides teachers with targeted, actionable insights, linked to core and intervention resources. Visit our mClass Math site to learn more.

Two side-by-side math activities for children: on the left, a caterpillar-themed block challenge, and on the right, a worksheet for finding pairs that sum to 10. These exercises are fantastic ways to amplify children's engagement with math concepts.

Core instruction

Amplify Desmos Math lessons pair problems students are eager to solve with clear instructional moves for teachers. With low-floor, high-ceiling tasks every student can actively participate and be a part of the math community. Unit- and lesson-level core assessments give teachers data at their fingertips to guide and differentiate instruction.

A math lesson screen shows a toy sinking 5 meters into a pool. A textbox asks how many centimeters that is, with space for an answer and a "Try again" button. An avatar explains the question, using Desmos math tools to amplify understanding.

Differentiation

Personalized Learning activities help students access grade-level math through engaging, independent digital practice. Responsive Feedback adjusts to students’ work, providing item-level adaptivity to further support their learning and offer personalized differentiation. Visit our Boost Math site to learn more. 

Two pages from a New York math textbook on determining coordinates after a rotation. Includes sections on modeled review, guided practice, and teacher's notes, with diagrams and examples that amplify the learning experience.

Embedded intervention

Integrated resources like Mini-Lessons, Fluency Practice, and Math Adventures provide targeted intervention on a specific concept or skill connected to the daily lesson. Extensions are also available to stretch students’ understanding.

Multilingual Learners

To support multilingual/English learners, Amplify Desmos Math incorporates research-based Math Language Routines (MLRs) by providing language modality strategies like sentence frames where appropriate, both in the teacher language provided for each task and in the differentiation support section found throughout the program. For further information on math language development, please see pg. 82 of the Amplify Desmos Math Program Guide.

Una profesora con un polo rojo ayuda a una estudiante con cabello largo y rizado que está leyendo un libro en su escritorio en un salón de clases. En la pared detrás de ellos se exhiben carteles con temas educativos.

Review Resources

To support your review of Amplify Desmos Math here are links to important K-5 review resources:

Two women in an office setting are smiling while looking at a tablet. Various educational icons surround the image.

K-5 sample materials

Click the links in the drop-down sections below to explore sample materials from each grade.  To see sample student responses, please click on the Teacher Edition pages and scroll to “Sample Student Work” (first one is about 30 pages in) or click on Intervention and Extension resources.   

For helpful navigation tips and more program information, download the Amplify Desmos Math Program Guide.

You can also watch a product expert walk through a lesson and the available program components.

Digital educational material showing an activity named "Hamster Homes" involving tube length and platform heights for a hamster cage. Includes a diagram with platforms measuring 9 inches.
Screenshot of a kindergarten curriculum outline featuring units like Math in Our World, Numbers 1-10, Positions and Shapes, Understanding Addition, Making 10, and Shapes All Around Us. This comprehensive program utilizes New York Math standards to build foundational skills.
Program structure

Get to know the content and structure of Kindergarten Amplify Desmos Math.

Cover of Amplify Desmos Math Grade K Teacher Edition featuring three children playing with math-related objects and a group of rabbits sitting nearby, aligning with the engaging curriculum seen in New York math classrooms.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Counting and Comparing Objects.

Educational activity screen displaying a blue backpack with icons, dot groups on the left, and a grid background. Prompt reads, "Look inside the backpack. Then choose the group with the same number of dots." A great tool to amplify Desmos math learning in line with New York math standards.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math has student print materials and digital recommendations.

Cover of "Amplify Desmos Math: Student Edition Kindergarten," featuring an illustration of three children playing with math-related toys. A group of small white animals, possibly hamsters, play nearby. The scene brilliantly captures the joy of New York math exploration for young learners.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of "Amplify Desmos Math Grade K Centers Resources" featuring a large, stylized red and pink "C" on a light pink background with simple geometric designs. This distinctive cover complements New York math curriculums with its engaging visual elements.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math: Grade K." The title is displayed with a geometric "I" illustration in the center. Subtitle reads "Intervention and Extension Resources" on a pink and white background, ideal for New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

A digital activity screen, crafted in the style of Amplify Desmos Math, shows two paths with different quantities of mushrooms. The user is prompted to choose the path with more mushrooms. A bear is on the left side of the screen.

In this lesson, students apply their understanding of how to compare groups of images as they determine which group has more or fewer and then compare their strategies by guiding a bear through a path that has more mushrooms than the other.

Grade 1 math curriculum overview displaying six units with instructional and assessment days: counting, addition, subtraction, numbers to 10, comparing numbers, measuring length, and geometry—aligned with the New York Math standards.
Program structure

Get to know the content and structure of Grade 1 Amplify Desmos Math.

Children interact with math activities on a large tablet while observing fish illustrations. The text reads "Amplify Desmos Math Grade 1 Teacher Edition, aligned with New York Math standards.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Story Problems in Maui.

A digital math exercise, amplified by Desmos Math, showcases a story problem about adding kalo plants with three illustrations and a filled-out number sentence 3 + 4 = 7. A "Check" button is present. This tool aligns perfectly with New York math standards.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math has student print materials and digital recommendations.

Illustration of three children engaged in math activities from the "Amplify Desmos Math: Student Edition 1" textbook. One child holds a number card, while the others manipulate counters and images, experiencing an exciting approach inspired by New York math techniques.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of "Amplify Desmos Math Centers Resources" for Grade 1, featuring a yellow and white 3D letter "C" on a light background.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math, Grade 1: Intervention and Extension Resources" depicting a large, blocky number one and a yellow-themed design. Ideal for enhancing New York math curriculum.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

An educational game screen, inspired by New York math standards, shows a subtraction problem, "4 - 1," with a frog moving along numbered lily pads to reveal the answer "3.

In this lesson, students find differences when subtracting 1 and 2 from the same number by helping a frog reach a lily pad where it can eat a bug.

A curriculum overview for Grade 2 in New York Math displaying 8 units, including topics like comparisons, addition, subtraction, and geometric shapes, with details on the number of instructional and assessment days. This plan integrates resources from Amplify Desmos Math to enrich learning experiences.
Program structure

Get to know the content and structure of Grade 2 Amplify Desmos Math.

Cover of the "Amplify Desmos Math" Grade 2 Teacher Edition, showcasing children measuring with rulers and a poster displaying a mathematical equation, set against whimsical scenery with a colorful dragon. Perfect for New York math classrooms.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Adding and Subtracting.

Activity screen displaying a task to estimate the number of animals in an aquarium, featuring a bar chart for goldfish, frogs, and shrimp. Utilizing Desmos math tools, an illustration of an aquarium with various animals is also included to amplify learning.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math has student print materials and digital recommendations.

Cover of "Amplify Desmos Math Student Edition 2" showing three children performing a New York math activity with blocks and measurements.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of an educational book titled "Amplify Desmos Math Grade 2 Centers Resources" featuring a green "C" on a light green background, perfect for enhancing New York math education.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math Grade 2: Intervention and Extension Resources" featuring a green numeral 1 on a light green background, aligning with the New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

An educational activity where users must select the block with the correct number to make a total of 10 using the given block numbers. The UI, inspired by New York math standards, features a caterpillar and two tree stumps to amplify engagement with Desmos Math tools.

In this lesson, students find differences when subtracting 1 and 2 from the same number by helping a frog reach a lily pad where it can eat a bug.

An educational curriculum outline for Grade 3 with seven units covering various mathematics topics, including multiplication, shapes, fractions, and measurement. Suggested instructional days are provided. The New York Math approach ensures a thorough understanding of each concept.
Program structure

Get to know the content and structure of Grade 3 Amplify Desmos Math.

Cover of a "Grade 3 Amplify Desmos Math Teacher Edition" book, featuring a cutaway building with diverse students and a teacher working on New York math problems and organizing materials.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Concepts of Area Measurement.

Educational software displays a challenge to determine the area of an unpainted wall. The wall features a door and window with given dimensions, and a mouse pointer hovers near the question, amplifying the student's engagement.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math has student print materials and digital recommendations.

Cover of "Amplify Desmos Math Student Edition 3" showcasing illustrated children engaged in various mathematical activities inside a glass house structure, reflecting the dynamic energy of New York math.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of the Amplify Desmos Math Grade 3 Centers Resources book, featuring a 3D letter "C" in blue and white on a minimalistic background, perfect for aligning with New York math standards.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of an "Amplify Cover of the "Amplify Desmos Math" Grade 3 book featuring intervention and extension resources, with a blue geometric "I" on a light blue background, aligning with New York Math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

A page titled "Activity 2" features a table showing counts of rabbits, raccoons, and foxes, an image of animal stickers, and a bar graph representing the number of each animal, designed to amplify your New York math lesson with engaging visual data.

Students compare data represented on bar graphs with different scales by using animal stickers to create scaled bar graphs.

A course outline for Algebra 1 with 8 units, each detailing the number of instructional and optional days. The total suggested instructional days are 144 and 28 optional days, aligning with New York Math standards.
Program structure

Get to know the content and structure of Grade 4 Amplify Desmos Math.

Cover of "Amplify Desmos Math: Teacher Edition Grade 4" showing children learning New York Math outdoors, using large mathematical tools and numbers, with one child in a wheelchair.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Size and Location of Fractions.

Educational screen showing an interactive activity from Amplify Desmos Math where a user drags a point to cut a log into quarters. The progress is 2 out of 10.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math has student print materials and digital recommendations.

Cover of "Amplify Desmos Math, Student Edition, Grade 4," showcasing students collaborating on math problems involving shapes and numbers against a vibrant backdrop that blends cityscapes and natural scenery, capturing the essence of New York math learning.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of the "Amplify Desmos Math" Grade 4 Centers Resources book, featuring a large, stylized blue letter "C" on a light blue background. This essential resource for New York math educators ensures engaging and effective instruction.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math, Grade 4: Intervention and Extension Resources," featuring a geometric illustration and a blue and orange color scheme inspired by New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Interactive educational activity asking users to determine platform heights using a 3-inch tube. The interface, inspired by Desmos math tools, features a dragging function and feedback system with a checkbox and "Try another" option, amplifying the learning experience.

Students choose tube lengths to connect to platform heights for hamster homes, identifying possible heights using what they know about multiples.

A Grade 5 curriculum scope and sequence chart with units covering volume, fractions, multiplication, shapes, place value, and measurement. Each unit lists instructional and assessment days to amplify Desmos Math activities.
Program structure

Get to know the content and structure of Grade 5 Amplify Desmos Math.

Illustration of three students engaging with various math activities outdoors and around large blocks. Text at the top reads "Amplify Desmos Math, Grade 5, Teacher Edition" - a perfect resource for New York math educators.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Fractions as Quotients.

A digital activity prompt showing a scenic landscape with bamboo shoots and a panda. Using Desmos math tools, the task is to estimate the length where the third bamboo shoot should be placed for the panda to reach a leaf. This exercise is designed to amplify your understanding of spatial reasoning.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math has student print materials and digital recommendations.

Cover of "Amplify Desmos Math: Student Edition, Grade 5" featuring students engaged in various mathematical activities outside, such as block building, measuring, and gardening—a perfect resource aligning with New York math standards.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover image of "Amplify Desmos Math Grade 5 Centers Resources" featuring a large purple letter C on a light purple background, showcasing the innovative approach of Amplify Desmos Math that's making waves in New York math education.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math Grade 5: Intervention and Extension Resources," featuring a large, stylized number five in purple against a light purple background with minimal geometric patterns, ideal for New York math curriculum support.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

An interactive screen showing an activity about decomposing a figure into prisms, with a touch of Desmos Math integration. The user is asked to drag points to demonstrate the decomposition. Two prism illustrations are displayed, offering a glimpse of New York Math's approach.

Students decompose a figure into rectangular prisms and determine the volume of the figure by adding the volumes of the individual prisms.

Contact Us

If you have any questions throughout your review process or need additional samples, please don’t hesitate to contact:

Alicia O’Neil

Account Executive

425-890-6103

aoneil@amplify.com

Request additional samples

Ready to learn more? Connect with an Amplify Desmos Math expert to request additional program samples.

Uncover student thinking with a complete K-8 math assessment system

Expect more from your assessments with mCLASS® Math, a complete K–8 benchmark and progress monitoring assessment system that shows how students performed, reveals their math thinking, and provides teachers with recommendations to drive grade-level success.

Explore mCLASS samples

About the program

mCLASS Math is a digital assessment system designed to evaluate student performance and growth against grade-level expectations throughout the year. The program empowers educators and students with:

  • Valid, reliable, and research-based assessments that take less time, so you can measure student proficiency and growth without taking time away from instruction.
  • Valuable insights into student math thinking that move beyond right or wrong answers, revealing students’ processes so you can accelerate grade-level learning by building on what they already know.
  • Data that drives instruction, turning assessment results into clear next steps for differentiation and intervention—all aligned with your core math program and MTSS framework.

mCLASS Math is available for grades K–5 in the 2025–26 school year and for grades K–8 in the 2026–27 school year.

Access deeper insights into students’ understanding

Traditional assessments focus only on right or wrong answers. mCLASS Math goes deeper, revealing how students think about grade-level math and what they already understand.

This asset-based approach recognizes that every student has their own ways of thinking. Their individual strengths, experiences, understandings, and strategies—or assets, as we collectively refer to them—inform the robust data that powers mCLASS Math. By focusing on what students already know and where they need support, teachers can confidently build on each target area for growth and accelerate grade-level learning with confidence.

A student completing math assessment that highlights their strengths.

Traditional assessments

mCLASS Math’s asset-based assessments

Focus on student deficits Highlight what students already know and how they think to build on their strengths
Require lengthy assessments with separate questions to address each skill Efficiently gather multiple data points per item, reducing assessment time
Judge answers solely as correct or incorrect Reveal students’ thinking and understanding behind their answers
Provide data disconnected from core instruction and intervention Deliver data-driven recommendations aligned with core instruction and MTSS

mCLASS Benchmark Assessments

  • Digitally administered to the whole class three times a year (BOY, MOY, EOY) to measure growth against grade-level expectations
  • Provide real-time visibility into student work and responses
  • Diagnostic and screening tools to identify strengths and areas for Tier 2 and Tier 3 interventions
  • Flag potential risk of dyscalculia for early support

mCLASS Progress Monitoring

  • Quick, targeted assessments administered between benchmarks
  • Track student performance in specific skills and concepts over time
  • Inform instructional adjustments with in-the-moment recommendations
  • Ensure interventions are effective to keep students on track

Instructional supports for Tiers 1–3

Support, Strengthen, and Stretch model: Flexible framework for effective differentiation and intervention

  • Mini-Lessons: 15-minute teacher-led interventions to build grade-level proficiency in small groups
  • Centers: collaborative, hands-on activities for concept reinforcement (grades K–5)
  • Fluency Practice: adaptive digital practice to build number sense and procedural fluency
  • Item Bank: customizable practice and assessments filtered by standards and skills
  • Extensions: student-choice activities to challenge and extend learning
Image of teacher with students on laptops taking digital math tests

A research-backed approach

mCLASS Math assessments provide valid, reliable measures of student proficiency and thinking, offering clear insight into growth and performance against grade-level expectations.

Developed by a team of researchers, mCLASS Math has undergone rigorous psychometric validity studies and is backed by the latest iteration of curriculum-based measurement tools and a state-of-the-art approach for efficiently assessing students’ mathematical thinking. 

Additionally, K–5 progress monitoring and 6–8 benchmark assessments are part of ongoing national field trials, reflecting our commitment to continuous improvement and evidence-based design. Learn more.

Data that informs instruction

mCLASS Math transforms each student’s assessment results into clear, actionable next steps, empowering teachers to provide timely scaffolds and targeted instruction where they’re needed most. Integrated insights align with your core math program and MTSS framework, making it easy to differentiate and support every learner with confidence.

One integrated math solution

Amplify’s comprehensive math suite, Amplify Desmos Math, provides seamless alignment to help teachers capitalize on strengths, foster deep investment, and build agency for all students.

Everything is in one place—with screening and progress monitoring, core instruction, integrated personalized learning, and embedded intervention teachers can trust.

Maximize assessment impact with mCLASS PD.

Amplify offers focused professional development to help educators leverage mCLASS Math data effectively. Gain strategies to enhance instruction, drive student success, and fully utilize assessment insights.

Ready to learn more about mCLASS Math?

Fill out this form and we’ll be in touch with you shortly.

Amplify Classroom

Amplify Classroom is a free teaching and learning platform that places student engagement at the center of instruction.

Amplify Classroom features free lessons, lesson-
building tools, sharing features, and more. Built by
math educators, the platform makes differentiation
easier for teachers, enabling them to personalize individual student instruction in real-time.

Create your teacher account
at classroom.amplify.com.

Explore more programs.

Amplify programs are designed to support and complement each other. Learn more about our related programs.

The English language arts program designed to prepare Arkansas middle schoolers for high school and beyond.

Amplify ELA is a blended English language arts curriculum designed specifically to support students in grades 6–8 and prepare them for high school and beyond. With Amplify ELA, students learn to tackle any complex text and make observations, grapple with interesting ideas, and find relevance for themselves.

  • An illustration from Amplify ELA
  • A student reading "Summer of the Mariposas"
  • students collaborating and using laptops
  • An illustration of the Space Race from Amplify ELA

Built for middle school teachers and students

Built specifically for middle school, Amplify ELA is an interactive core curriculum that brings complex texts to life. Amplify ELA’s 100-Day Pathway is a built-in guide to covering required content for each grade level while allowing teachers time to add supplemental lessons and activities.

Circular logo of edreports featuring "read the ELA report review year 2020" with a partial bar graph and a book symbol in yellow and blue.

All-green rating on EdReports

The results are in! Amplify ELA received a near-perfect score by the independent review group.

Our approach

Amplify ELA is the ELA program designed for middle school. It offers rich texts that are a delight to teach, better connections with your students through powerful differentiation and assessment tools, and step-by-step instructional guides that save you time and simplify your day.

Explore more research behind the program

We empower students to become critical thinkers.

With text always at the center, students are encouraged to make meaning for themselves. Rather than focusing on right or wrong answers, they develop ideas and opinions on relevant, real-world, texts.

Una mujer joven que usa atentamente una tableta para acceder al programa Amplify ELA en una habitación iluminada por el sol, con el cabello castaño recogido.
A student using a laptop

We provide six levels of differentiation.

Multiple entry points and differentiated supports allow every student, regardless of fluency or ability level, to engage deeply with the same complex texts and rigorous curriculum.

We assess while you instruct.

Formative assessment reports provide a continually updated picture of how each student is progressing with key skills and standards. Each learning moment provides a small piece of data, allowing you to keep teaching while building a clear understanding of student performance.

A teacher assists two students with a laptop in a classroom, one wearing a hijab, conveying a supportive educational environment.
guide icon

Download a free white paper

Beyond “make it fun”: Four principles of true engagement in middle school ELA

Download the white paper

What’s included

Amplify ELA is a rigorous core curriculum that empowers teachers and engages middle school students.

Student edition

Available digitally and in print, the student materials guide middle schoolers through complex texts and writing by:

  • engaging students with high-quality narrative and informational texts
  • providing videos, audio supports, and digital experiences that capture their attention
  • keeping all of their writing in one place with a personal writing journal

Teacher Edition

Available digitally and in print, the Teacher Edition contains all the information teachers need to facilitate classroom instruction, including:

  • detailed lesson plans
  • video teacher tips embedded in the lesson
  • standards alignment and exit tickets
  • real-time differentiation strategies
  • robust reporting

Interactive Quests

Quests are fun, week-long immersions into a specific, multilayered topic. They enable students to practice analytical reading, writing, speaking, and listening skills—all while building a strong classroom community.

Digital library for independent reading

The expansive Amplify Library includes more than 650 digital fiction, nonfiction, classic, and contemporary titles.

ELA_teacher_resources_1

Amplify ELA makes teachers’ lives easier

We help teachers make sure the standards are covered, the skills are taught, your students are scaffolded and encouraged, and the test is prepped.

  • Embedded differentiation to support all readers.
  • Informative and streamlined assessment system.
  • Robust reporting that tracks progress.
  • Powerful feedback tools.

Overview

With the Science of Reading at its core, Boost Reading blends compelling storytelling with research-based instructional practices to offer:

Personalized instruction across 13 different critical skill areas that adapts to each student’s needs while building on their strengths. Explicit practice in comprehension processes, phonics, and vocabulary. Extra support and scaffolds for struggling readers and English learners with demonstrated impact. An immersive game-play design that motivates students to discover that learning to read is fun.

Engagement is in the DNA: Every lesson and activity engages students through compelling storytelling and powerful narrative. Students persist longer and learn more deeply than when they are working on repetitive worksheet-like programs.

Instruction and practice: Boost Reading gives students practice as well as instruction in the key concepts they need to master. Our reading instruction and curriculum is interactive, not passive.

Emphasizes deep conceptual understanding: Backed by the latest research and designed with experts, Boost Reading focuses on ensuring that students have a deep understanding of the concepts. And those skills transfer from the program to the real world.

Boost Reading is a supplemental digital literacy instruction program that provides students with practice and explicit instruction in the underlying phonics, phonological awareness, vocabulary, and comprehension skills that are essential for fluent reading with good comprehension (e.g., Cartwright, 2010; NICHD, 2000; Oakhill, Cain, & Elbro, 2015).

The overarching goal of the program is to provide engaging individualized instruction and practice in the skills and strategies that have the most impact on literacy, while making it explicit to students that the skills they are practicing are things that good readers do while they are reading. As repetition with variety is an essential part of effective literacy instruction (e.g., Schuele & Boudreau, 2008), after a brief introduction to each activity, students are given repeated opportunities to practice these skills with varied stimuli. They receive immediate feedback for their responses and are given more explicit instruction in areas that are challenging. The instruction provided incorporates documented principles of effective instructional delivery; the activities engage students in multiple opportunities to practice critical skills at an appropriate pace with consistent feedback and prioritize student engagement and motivation, helping students to see their own growth toward reading goals (Carnine, Silbert, Kame’enui, & Tarver, 2016; Gersten, et. al., 2009; Deci, & Ryan, 2012.).

Activities build on an existing computer-based intervention that has been documented to improve the decoding skills of students in multiple experimental studies (Richardson & Lyytinen, 2014). Since learning is promoted when students use their knowledge across tasks (e.g., Merrill, 2002), generalization is encouraged through ebooks with embedded activities that reinforce skills recently practiced in related games.

Instruction is closely aligned with the English Language Arts Common Core State Standards (CSSS) for literary and informational texts and the North Carolina English Language Arts standards. The program was designed to include content that is most effective at building the word reading and comprehension skills of elementary students (e.g., NICHD, 2000; NIFL, 2008), including at-risk and struggling readers (e.g., NICHD, 2000) and English language learners (e.g., August & Shanahan, 2006). The content focuses on foundational reading skills (i.e., phonological awareness and phonics) as well as vocabulary and reading comprehension.

Research also shows that by providing students with contextualized learning experiences and rich engaging stories, narrative-centered interactive learning environments increase student interest, self-efficacy, and feelings of involvement and control in their learning  (McQuiggan, Rowe, Lee, & Lester, 2008).

Over the course of our early efficacy study, kindergarteners using Boost Reading grew an average of 16% more than kindergarteners who didn’t use Boost Reading. First graders using Boost Reading grew 23% more than first graders who didn’t.

We compared students in kindergarten through fifth grade who used Boost Reading during the 2019 fall semester to students from the same district who did not use Boost Reading, using Dynamic Indicators of Basic Early Literacy Skills, 8th Edition (DIBELS® 8th Edition) Composite Scores and Zones of Growth. We found K–5 students who used Boost Reading showed better growth on DIBELS 8th Edition Zones of Growth than those who did not use the product. Additionally, we found that the program was particularly effective for English Language Learners (ELLs). (DIBELS 8th Edition; University of Oregon, 2018)

You can view the study here.

Boost Reading allows younger students to progress through the curriculum along a pathway that best fits their developing abilities. Students are placed into the program based on prior data and the system maintains a rich profile for them as they master each skill level. Boost Reading also provides adaptive support, meaning that the degree of scaffolding, instruction, and practice adapts within each game based on student performance.

Students are served up content that’s appropriate for them within each quest. If a student struggles with a particular content set (3 failed attempts), the set is removed from the quest and presented to the student in a later quest after they’ve had more practice with the prerequisite skills.

When this happens, the teacher dashboard will indicate that the student is “stuck” through the class view and the student view.

If the teacher taps on the student’s name, they can see the specific content that the student struggled with. This allows teachers to provide additional support for the student. The progress bar will go back to green when the student has mastered the content set at a later date.

Classroom use

For younger students

Boost Reading is a supplemental reading curriculum designed to support a student’s development in key early literacy skills through play. The games in Boost Reading are meant to engage students individually on their own unique path. As a result, there are numerous ways you can use Boost Reading with your students.

We recommend you allow students to play for 10–15 minutes per session, 2–3 times a week in some of the following ways:

  • As part of a work station or literacy center
  • During reading blocks or choice time
  • With students not in intervention groups during intervention time
  • During transitions between periods (or at the start or end of school)
  • In a computer lab
  • In after-school programs
  • At home (students may use logins to practice on Boost Reading at home)

For younger students

Students propel the storyline in Boost Reading forward as they take on quests in Bookerton. This narrative is available in both English and Spanish. Students can toggle between the two languages through their settings menu.

In-Game Supports

In addition to the overall narrative, many of the games have features that support ELL students and struggling readers:

  • Many of the games have read-aloud text or are picture-based so that students can work independently, whatever their level of language proficiency.
  • Supports such as cognates are provided for vocabulary words in Boost Reading interactive Reader.
  • Boost Reading has games that cover phonics and phonological awareness, including at the syllable level, to support pre-readers who need robust instruction in these areas.
  • Boost Reading has games that provide explicit language instruction, for example connectives and anaphora, as well as strategy instruction in comprehension monitoring and morphology.
  • Boost Reading’s instructional methods (e.g., providing clear models, multiple opportunities to practice skills, feedback, cumulative review) and the skills and strategies taught in phonics, morphology, and language leverage techniques proven to help ELs learn how to read in English. Coupled with progressing Spanish-language support, Boost Reading ensures that all students can succeed, no matter what their first language is. Read more here.

Technology

Supported Devices and Network Requirements

To ensure that your hardware and network meet the minimum technical requirements for optimal performance and support of Boost Reading please see Amplify’s customer requirements page

List of IP Addresses to Allow

To make sure Boost Reading is accessible at your district, you can add the appropriate URLs to your district’s firewall allowlist. Visit the Amplify Network Access Validator to see the list of URLs and IP addresses.

Amplify ELA California

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We are middle school.

Amplify ELA was designed to respond to the distinct opportunities and challenges faced by middle school students and teachers. It was conceived to support middle school students at this critical developmental moment.

The program helps teachers ensure that skills are taught, standards are covered, and the test is prepped—and it does this work in the background so that teachers can spend their time bringing text to life and providing each student the right instruction at the right time. Request a sample to take a closer look.

Illustrated scene with people in various poses, including a person holding a mask and a child looking up at butterflies. Background includes abstract shapes and an outdoor setting.

Overview

A teacher stands in front of a classroom while students, seated at desks with laptops, raise their hands eagerly.

Amplify ELA is a blended curriculum designed for middle school students and teachers. It provides:

  • An engaging digital program with comprehensive print materials, including Teacher Editions, Student Editions, and Writing Journals for grades 6–8.
  • A year’s worth of instruction for each grade.
  • Complex, content-rich literary and informational texts.
  • Differentiation that supports all students with reading complex texts, and an interactive eReader with an array of multimedia tools.
  • Embedded assessments that allow for uninterrupted instructional time.
  • The Amplify Library—a digital collection of more than 650 full-length texts.

Why Amplify?

We designed every Amplify ELA lesson to help teachers teach the essential skills of reading, writing, speaking, and listening, in a classroom where students thrive academically, socially, and emotionally.

We use six proven pedagogical approaches to help teachers build a literate community in every middle school classroom:

Middle school collaboration

1. Critical and collaborative engagement

With Amplify ELA, students engage with learning because they engage with each other. Amplify ELA fosters a classroom community that thrives on a wide range of student observations. The lessons immerse students in interactive close reading activities and cognitively challenging work, and keep them engaged through a variety of collaborative activities.

2. Integrated approach to target all standards

Every lesson requires students to work across multiple learning objectives—reading, writing, speaking, and listening—while focusing on one primary standard. Result: students work with complex texts that demand working across standards, while receiving instruction focused on building a specific skill.

Middle school standards
Middle school texts

3. Text at the center

Amplify puts complex text at the center of every lesson and activity to develop the critical capacities and build the vocabulary, knowledge, and skills students need to succeed in middle school, high school, and beyond. Great texts spark curiosity, reveal layered meanings, reflect a diversity of perspectives and identities, and cultivate meaningful conversation and reflection.

4. Multimodal and strategic technology

Activities harness multiple learning modes, using media tools, digital apps, and a variety of visual and physical experiences to strategically support and enhance student learning.

Middle school engagement
Middle school differentiation

5. High expectations and strong supports

Strong supports built in at all levels give every student a chance to meet the highest possible expectations. Struggling readers, students ready for advanced work, English language learners: all can take on the challenge of rigorous work while data delivery and digital tools allow teachers to ensure progress.

6. Timely feedback and actionable data

Formative assessment measures and targeted feedback tools are embedded in every lesson. Result: teachers can make timely decisions about instructional strategy and provide the guidance students need to thrive as readers and writers.

Middle school assessments

What teachers say

What teachers are saying about Amplify ELA

“It was engaging for students, fun and easy to teach, and led to deeper discussions and written responses than I have seen in a long time! The embedded differentiation helped ensure students had just the right amount of challenge/supports. I wish I had this earlier in my teacher career!”

Ashley

Teacher

What teachers are saying about Amplify ELA

“Amplify has put it all together in one place so we can hook our kids with engaging material, then track how well they’re performing.

Brent

Principal

What teachers are saying about Amplify ELA

“Amplify uses technology to enhance best practices, not instead of best practices. It is multimodal and encourages movement, readers theater, writing, drawing, etc… It isn’t just a series of copied pdfs and worksheets made digital.”

Karen

Teacher

Blended model

Amplify ELA’s new blended curriculum can be used in classrooms with limited access to devices, allowing teachers to make choices about when their students use devices without compromising learning or full standards coverage.
Amplify ELA’s blended approach keeps a strong connection between print and digital by having the teacher project uniquely digital moments as students work in their print Student Editions and Writing Journals. This approach works when Wi-Fi or devices are unavailable for both brief or extended periods of time.

Amplify ELA Teacher Components
Amplify ELA Student Components

Try Amplify ELA

Ready to take a closer look at Amplify ELA? No problem. Just complete the form to get immediate access to:

  • Digital: trial that includes two units per grade level
  • Print: preview of Teacher Edition
Amplify ELA trial

Welcome, LAUSD educators!

Introducing Amplify Desmos Math California, a curiosity-driven TK–12 program that builds lifelong math proficiency. Each lesson poses problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals. Students encounter math problems they’re eager to solve, while teachers spend more time where it’s most impactful—creating a collaborative classroom of learners.

Start by watching our welcome video to the right, then learn more about the program and begin your review below.

Curriculum overview

Watch the videos below for an overview of Amplify Desmos Math California:

Built for California

An educational worksheet on robots, featuring a graph with red, purple, and blue robot icons, and instructions for a warm-up activity.

The Amplify Desmos Math California program is designed around the vision articulated in the Mathematics Framework for California Public Schools: Kindergarten Through Grade Twelve to enable all California students to become powerful users of mathematics. Our program incorporates the latest research in student learning, meaning that we:

  • Focus on the Big Ideas: Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. Big Ideas, like standards, are not considered in isolation. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons.
  • Center on open and engaging tasks: Amplify Desmos Math California is grounded in engaging tasks meant to address students’ often-asked question: “Why am I learning this?”  Students are invited into learning with low-floor, high-ceiling tasks that provide an entry point for all. Open tasks in Amplify Desmos Math California provide the space for students to try on multiple strategies and represent their thinking in different ways, and allow student explanation and discussion to serve as the center of the classroom. All lessons offer both print and digital representations.
  • Provide enhanced digital experiences: Amplify Desmos Math California includes digitally-enhanced lesson activities, incorporating interactive digital tools alongside print materials. These purposefully-placed resources allow students to visualize mathematical concepts, receive actionable feedback while practicing, encounter personalized learning support from an onscreen tutor, and engage in discussions about their thinking and approaches.
  • Treat core instruction and differentiation as integral partners: The Amplify Desmos Math California curriculum provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level content without reducing the mathematical demand of tasks. Every activity has multiple entry points to ensure that all students are supported and challenged. Intervention and personalized learning activities are directly connected to lesson content and offer students individualized support as they dive into the mathematics.

About the program

Taking the IM content further.

A laptop displays a math activity about platform heights and tube length, while a worksheet titled "Hamster Homes" is visible in the background.

Amplify Desmos Math California is a curiosity-driven program that builds lifelong math proficiency. Each lesson poses problems that invite a variety of approaches before guiding students to connect their understanding of the learning goals.

Students encounter math problems they’re eager to solve, while teachers spend more time where it’s most impactful: creating a collaborative classroom of learners.

We chose to base our program on the extensively field-tested IM K–12 MathTM authored by Illustrative Mathematics. IM K–12 Math is a problem-based curriculum. It asks students to grapple with well-designed and thoughtfully sequenced real-world mathematical problems to build their understanding of how to efficiently solve them.

Begin your review to see how we’ve taken the IM K–12 Math content further.

Begin your review

Using a Google Chrome or Safari web browser, click the orange button below or navigate to learning.amplify.com and select “Log in with Amplify.” Please note, these demo accounts expire on April 04, 2026.

K–8 English credentials

  • Username: t1.lausd_adm_k8@demo.tryamplify.net
  • Password: Amplify1-lausd_adm_k8

K–8 Spanish credentials

  • Username: t1.lausd_k8_spanish@demo.tryamplify.net
  • Password: Amplify1-lausd_k8_spanish

AGA credentials

  • Username: t1.lausd_aga@demo.tryamplify.net
  • Password: Amplify1-lausd_aga

Welcome, LAUSD educators!

Introducing Amplify Desmos Math California, a curiosity-driven TK–12 program that builds lifelong math proficiency.

Our program fully aligns with LAUSD’s screen-time resolution. We are 100% print-based, with optional
technology resources available, in direct accordance with the school board’s newly approved guidelines.

Start by watching our welcome video to the right, then learn more about the program and begin your review below.

Curriculum overview

Watch the videos below for an overview of Amplify Desmos Math California:

Built for California

An educational worksheet on robots, featuring a graph with red, purple, and blue robot icons, and instructions for a warm-up activity.

The Amplify Desmos Math California program is designed around the vision articulated in the Mathematics Framework for California Public Schools: Kindergarten Through Grade Twelve to enable all California students to become powerful users of mathematics. Our program incorporates the latest research in student learning, meaning that we:

  • Focus on the Big Ideas: Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. Big Ideas, like standards, are not considered in isolation. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons.
  • Center on open and engaging tasks: Amplify Desmos Math California is grounded in engaging tasks meant to address students’ often-asked question: “Why am I learning this?”  Students are invited into learning with low-floor, high-ceiling tasks that provide an entry point for all. Open tasks in Amplify Desmos Math California provide the space for students to try on multiple strategies and represent their thinking in different ways, and allow student explanation and discussion to serve as the center of the classroom. All lessons offer both print and digital representations.
  • Provide enhanced digital experiences: Amplify Desmos Math California includes digitally-enhanced lesson activities, incorporating interactive digital tools alongside print materials. These purposefully-placed resources allow students to visualize mathematical concepts, receive actionable feedback while practicing, encounter personalized learning support from an onscreen tutor, and engage in discussions about their thinking and approaches.
  • Treat core instruction and differentiation as integral partners: The Amplify Desmos Math California curriculum provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level content without reducing the mathematical demand of tasks. Every activity has multiple entry points to ensure that all students are supported and challenged. Intervention and personalized learning activities are directly connected to lesson content and offer students individualized support as they dive into the mathematics.

About the program

Taking the IM content further.

A laptop displays a math activity about platform heights and tube length, while a worksheet titled "Hamster Homes" is visible in the background.

Amplify Desmos Math California is a curiosity-driven program that builds lifelong math proficiency. Each lesson poses problems that invite a variety of approaches before guiding students to connect their understanding of the learning goals.

Students encounter math problems they’re eager to solve, while teachers spend more time where it’s most impactful: creating a collaborative classroom of learners.

We chose to base our program on the extensively field-tested IM K–12 MathTM authored by Illustrative Mathematics. IM K–12 Math is a problem-based curriculum. It asks students to grapple with well-designed and thoughtfully sequenced real-world mathematical problems to build their understanding of how to efficiently solve them.

Begin your review to see how we’ve taken the IM K–12 Math content further.

Begin your review

Using a Google Chrome or Safari web browser, click the orange button below or navigate to learning.amplify.com and select “Log in with Amplify.”

English credentials

Spanish credentials

Complete K–5 math assessment system

Expect more from your assessments with mCLASS® Math Texas, a brand-new digital benchmarking and progress-monitoring assessment system.

mCLASS Math Texas represents the next generation in math assessment. It provides educators not only with reliable measures of student achievement, but also with an asset-based approach that analyzes student responses to reveal underlying mathematical thinking. The Student Thinking Report provides actionable insights, so teachers can confidently plan both whole-class instruction and targeted intervention.

About mCLASS Math Texas

mCLASS Texas offers reliable progress-monitoring and digital benchmarking assessments that evaluate student performance against grade-level expectations and growth throughout the year. The digital program seamlessly integrates with intervention and core instruction, providing rich, actionable, data-driven recommendations for where and how to support learning. The program empowers you to leverage your students’ strengths with features like:

  • Reliable measures of student achievement and asset-based reporting that analyze student responses to reveal underlying mathematical thinking.
  • A powerful digital benchmarking and progress monitoring assessment system.
  • Actionable recommendations aligned across skills and core instruction with instructional resources.

Access deeper insights into students’ understanding.

mCLASS Math Texas provides insights not only into what students know about grade-level math, but also into how they think. By leaning on students’ individual strengths and strategies, teachers can confidently differentiate instruction and plan future intervention.

The asset-based approach of mCLASS Math Texas digital benchmarking and progress monitoring gives teachers peace of mind that students are making meaningful progress in their math development. The system recognizes that all students have their own ways of thinking. Their individual strengths, experiences, understanding, and strategies—or assets, as we collectively refer to them— inform the robust data that powers mCLASS Math Texas.

Dos mujeres están sentadas en un escritorio, mirando papeles y sonriendo. Una señala una página mientras la otra está sentada con un bolígrafo en la mano. En el fondo se ven útiles de oficina y tablones de anuncios.
Table comparing traditional assessments, which focus on deficits and isolated data, with mCLASS Math’s asset-based benchmark assessments that emphasize strengths and support progress monitoring through richer, responsive feedback.

mCLASS Math Texas Benchmark Assessments

  • Are administered digitally to the whole class three times a year (BOY, MOY, EOY) for growth measure.
  • Allow teachers to see student work in real time throughout assessments.
  • Include diagnostic capabilities to further target Tier 2 & Tier 3 intervention areas.
  • Identify the specific areas of strengths and development to inform differentiation.
  • Provide support and flags for potential risk of dyscalculia.

mCLASS Math Texas Progress Monitoring

  • Helps teachers monitor a student’s math performance with a
    15-minute assessment between mCLASS Benchmark assessments.
  • Informs teachers if tiered interventions require adjustment to improve student learning.

Validated by research

We’re thrilled to announce that mCLASS Math Texas is undergoing an official third-party study conducted by WestEd, a nonpartisan, nonprofit research, development, and service agency. This in-depth validation analysis aligns with our commitment to transparency, data-driven enhancement, and providing the most effective educational tools for our users. The findings of this study will be available by fall 2025. Stay tuned to learn how mCLASS Math Texas will revolutionize your math assessment experience.

El maestro ayuda a los estudiantes a trabajar con computadoras portátiles en un aula; los estudiantes usan auriculares y se concentran en sus pantallas.

Data informs instruction.

The integrated insights and intervention recommendations of mCLASS Math Texas empower teachers to implement timely scaffolds and targeted intervention when needed. Following screening and progress monitoring, teachers can differentiate when, where, and how it matters most with customizable, high-impact instructional resources to support all learners.

One integrated math solution

Amplify’s comprehensive math suite, Amplify Desmos Math Texas K–5, provides seamless alignment to help teachers diagnose and capitalize on student strengths, foster deep investment, and build student agency.

Everything is in one place—with screening and progress monitoring, core instruction, integrated personalized learning, and embedded intervention teachers can trust.

Ready to learn more about mCLASS Math Texas?

Fill out this form and we’ll be in touch with you shortly.

What’s included in our Grades 3–5 language arts curriculum

Grounded in the science of reading, Amplify CKLA for grades 3–5 integrates foundational skills students have learned in grades K–2 while continuing to build rich content knowledge. With Amplify CKLA, you’ll have the instruction and guidance of proven, evidence-based practices to help all of your students become strong readers, writers, and thinkers.

Year at a glance

The Amplify CKLA curriculum is modeled after proven research in early literacy that supports a two-strand approach to literacy instruction in the early years. With this approach, students in Grades K–2 complete one full lesson per day that builds foundational reading skills in the Skills Strand, as well as one full lesson that builds background knowledge in the Knowledge Strand. The deep content knowledge is sequenced together with research-based foundational skills in Grades K–2 so that students develop the early literacy skills necessary to help them become confident readers, as well as build the context to understand what they’re reading. 

In Grades 3–5, lessons combine skills and knowledge with increasingly complex texts, close reading, and a greater emphasis on writing. Students start to use their skills to go on their own independent reading adventures, further opening up their worlds.

Diagram illustrating how language comprehension and word recognition components integrate to lead to skilled reading, as described in the Simple View of Reading model, aligned with the 3-5 CKLA curriculum and Amplify CKLA digital experience.

Units at a glance

Students move fluidly between reading, writing, speaking and listening, and language activities, with increasingly complex texts, close reading, and a greater writing emphasis.

Classic Tales: The Wind in the Willows

Students explore international classic tales, including The Wind in the WillowsAlice in Wonderland, and “Aladdin and the Wonderful Lamp.”

Number of Lessons: 15

Animal Classification

Students learn how scientists use animals’ characteristics to classify and study them; students apply knowledge through text-based discussions and writing exercises.

Number of Lessons: 15

The Human Body: Systems and Senses

This unit involves the study of the human body, building students’ understanding of its senses and skeletal, muscular, and nervous systems.

Number of Lessons: 14

The Ancient Roman Civilization

Students dive into ancient Rome, studying its history, culture, and myths about Roman gods and goddesses.

Number of Lessons: 15

Light and Sound

Students learn the science behind light and sound, read biographies of Alexander Graham Bell and Thomas Edison, and write newspaper articles.

Number of Lessons: 17

The Viking Age (with Core Quest)

This unit’s informational and literary texts convey information about the Vikings, their culture, and their exploration.

Number of Lessons: 11

Astronomy: Our Solar System and Beyond

Students learn about astronomy, the universe, and important figures in the history of space exploration, including Nicolaus Copernicus and Mae Jemison.

Number of Lessons: 20

Native Americans: Regions and Cultures

Students compare, contrast, assemble information, and reflect on what they have learned about Native Americans and their ways of life.

Number of Lessons: 13

Early Explorations of North America

Students explore reasons for European exploration, what exploration was like, and who went exploring; then students write opinion pieces using this information.

Number of Lessons: 14

Colonial America

Students learn about colonies in early America, including how colonies were started and the progress colonists made after settling.

Number of Lessons: 16

Ecology

Students learn about different aspects of ecology, including food chains, the balance of nature, changes to the environment, and protecting the environment.

Number of Lessons: 12

Personal Narratives

This unit examines the genre of personal narratives, including nonfiction works written by a first-person narrator involved in the events being described.

Number of Lessons: 15

Empires in the Middle Ages

This unit covers the history of various empires and geographical regions throughout the Middle Ages.

Number of Lessons: 25

Poetry

Students explore poetry, training in methods and devices poets use and learning to read, write, and interpret formal and free verse poems.

Number of Lessons: 15

Eureka! Student Inventor

This Core Quest, a narrative-driven unit, immerses students in close-reading adventures and scientific and historical content about inventions. Students write and read opinion, informational, and narrative texts.

Number of Lessons: 10

Geology

This unit focuses on the composition of Earth and the forces that change its surface.

Number of Lessons: 15

Contemporary Fiction with excerpts from The House on Mango Street

This unit explores narrative literature and writing, using excerpts from The House on Mango Street as its anchor text.

Number of Lessons: 13

American Revolution

Students learn that disagreements about principles of government led colonists in North America to seek independence from Great Britain.

Number of Lessons: 17

Treasure Island

Students focus on character development, setting, plot, and literary devices while reading an abridged version of a classic novel, Treasure Island.

Number of Lessons: 19

Writing Quest (supplemental): The Contraption

In this supplemental Quest, students interact with a mysterious machine fueled by their writing and solve the machine’s puzzles. This Quest features a digital environment controlled by the teacher.

Personal Narratives

This unit examines the genre of personal narratives, including nonfiction works written by a first-person narrator involved in the events being described.

Number of Lessons: 15

Early American Civilizations

Students study the geography, climate, flora, and fauna of the Americas and the rise and fall of the Maya, Aztec, and Inca civilizations.

Number of Lessons: 15

Poetry

Students explore poetry, training in methods and devices poets use and learning to read, write, and interpret formal and free verse poems.

Number of Lessons: 13

Adventures of Don Quixote

In this unit students trace the development of plot, characters, and literary elements while reading a full-length, adapted version of Don Quixote.

Number of Lessons: 15

The Renaissance

This unit provides students with a broad exposure to the art and literature of the Renaissance through the works of renowned masters.

Number of Lessons: 19

The Reformation

This unit teaches students about the Reformation, a movement involving religious and political upheaval that shifted the political power in Europe.

Number of Lessons: 10

A Midsummer Night’s Dream (Core Quest)

This unit is an immersive Quest that treats Shakespeare’s comedy as both literature and a living text for interpretation and performance.

Number of Lessons: 15

Native Americans

Students learn how settlers, explorers, and the American government in the 1800s affected Native American cultures and their relationship with the land.

Number of Lessons: 15

Chemical Matter

Students learn about chemistry and close-reading through a literary and informational work, The Badlands Sleuth, in which the protagonist uses chemistry to solve mysteries.

Number of Lessons: 15

Writing Quest (supplemental): The Robot

Students interact with a classroom pet that learns and grows with their writing. This Quest features a digital environment controlled by the teacher.

Program components

The program includes instructional guidance and student materials for a year of instruction, with lessons and activities that keep students engaged every day.

Component

FORMAT

Teacher Guides

Teacher Guides for each unit provide engaging lessons with standards-based objectives and formative assessments that empower teachers with proven strategies and research-based tools.

Print or digital

Differentiation resources

The online Assessment and Remediation Guide (Grade 3) and the Decoding and Encoding Supplement (Grades 4–5) provide thousands of pages of targeted activities in decoding, spelling, and other core literacy skills. Supplemental Guides provide opportunities for enrichment.

Digital

Writing Studio

A riveting connected writing program for more time, practice, and challenge in writing, with a focus on informative, narrative, and opinion modes of writing.

Print or digital

Digital experience

The Amplify CKLA digital experience delivers ready-made, customizable, slides-based lesson presentations to enhance instruction and save time. Everything needed to plan and present high-quality, engaging early literacy instruction is in one convenient place.

Digital

Component

FORMAT

Student Readers

Amplify CKLA’s Student Readers anchor each of the content-based units, providing a close-reading experience fueled by rich background knowledge that inspires students to dig deeper.

Print

Activity Books

In addition to providing daily opportunities for students to respond to text and apply skills and knowledge, Activity Books feature formative assessments for each day’s objectives.

Print

Digital experience

The Amplify CKLA digital experience delivers ready-made, customizable, slides-based lesson presentations to enhance instruction and save time. Everything needed to plan and present high-quality, engaging early literacy instruction is in one convenient place.

Digital

Explore more programs

Our programs are designed to support and complement one another. Learn more about our related programs.

Nevada ELA Review for grades K–5

Thank you for taking the time to review Amplify’s core ELA program for K–5.

Amplify Core Knowledge Language Arts (CKLA) is a cutting-edge and effective core ELA program for students in grades K–5. It was developed in partnership with the Core Knowledge Foundation, was specifically designed to help teachers implement Science of Reading principles, and features proven evidence-based instructional practices.

Getting started

On this site, you’ll find a variety of resources designed to support your review and evaluation of the program. Before you start scrolling, watch the video below to learn about CKLA’s alignment to Nevada’s literacy initiatives as well as where to find key program resources.

Curriculum background

Pedagogical overview

In the video below, Amplify’s Chief Academic Officer Susan Lambert shares the big picture of CKLA, and explains why it was created and the impact it’s making across the country.

Program overview

In the video below, learn about CKLA’s structure and materials, as well the research behind the curriculum.

Program features

Built out of the latest research in the Science of Reading, Amplify CKLA delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades K–2 with an integrated approach to explicit instruction in grades 3–5.

Review this Science of Reading toolkit to learn more about the Science of Reading best practices integrated throughout CKLA.

Great reading instruction starts with helping kids develop great decoding skills. By building a solid foundation of phonological awareness and phonics, reading the words on the page becomes automatic so that comprehension and critical thinking can happen. Our instruction is supported by:

  • Step-by-step lessons with multisensory approaches, clear lesson objectives, and embedded formative assessments.
  • Decodable books and student readers with ebook and audiobook versions that feature engaging plots and relatable characters.
  • An engaging sound library with fun songs and videos that develop phonological awareness.
  • An interactive Vocab App featuring engaging activities with immediate feedback and automated, customized instruction based on student performance.

Students build grade-appropriate subject-area knowledge and vocabulary in history, science, literature, and the arts while learning to read, write, and think creatively and for themselves. Our instruction is supported by:

  • Knowledge builders that provide a quick overview of each domain with its key ideas.
  • Interactive Read-Alouds designed to build knowledge and vocabulary.
  • Content-rich anchor texts that support students as they tackle increasingly complex text and sharpen their analytical skills.
  • Social and emotional learning paired with lessons in civic responsibility.

Amplify CKLA provides built-in differentiation strategies in every lesson for all students,
including supports for ELLs.

  • Access supports for ELLs—Integrated ELD supports in each lesson segment
    for ELLs are specific to students’ mastery of the lesson’s objectives.
  • Support and Challenge for all learners—Lessons include Support and Challenge suggestions that provide assistance or opportunities for more advanced work toward the goal of the lesson. These supports are suitable for all learners, including ELLs.
  • 30 minutes of Additional Support in every Skills lesson–In the Skills Strand, every lesson concludes with an Additional Support section of recommendations for 30 minutes of extended instruction and activities, directly aligned to the skills taught in the lesson to assist students who need more support in mastering the lesson’s objectives.
  • Intervention Toolkit–The Intervention Toolkit provides easy-to-use resources to assist teachers in filling gaps in students’ foundational skills. Teachers will find of hundreds of activities to support phonics, fluency, comprehension, handwriting, and other key skills.

The slides-based Amplify CKLA digital experience enhances instruction while saving you time. Everything you need is all in one place, making it easier than ever to plan lessons, present digital content, and review student work.

  • Simplify planning and instruction–Teachers have access to ready-to-use and customizable lesson presentation slides, complete with all the prompts from the print Teacher Guide embedded in the teacher view. As teachers deliver each lesson, students can engage with the content in one cohesive
    experience—through Activity Books, slides, digital components, videos, Student Readers, and more.
  • Interactive student activities–Through the Student Home, students can easily access digital lessons with slides, Activity Pages, ebooks, videos, and other interactive resources from one simple dashboard.
  • Your teacher command center–You’re provided with the tools you need to ensure a productive digital experience that’s personalized to meet your students’ needs. This includes a teacher home from which to launch and track lessons, LMS integrations such as Google Classroom and Microsoft Teams, and other customizations based on classroom needs.
  • Get real-time insights into your students’ work–The innovative live review tool enables you to keep an eye on students drawing, recording audio, uploading and capturing images, and typing or writing in pre-placed text boxes in their Activity Pages.

Curriculum review

Digital experience overview

In the video below, learn about CKLA’s digital tools for teachers and students across both classroom and asynchronous environments.

Digital navigation walkthrough

Physical materials walkthrough

Curriculum implementation

See our Science of Reading solutions in action! Click here to see a real example of how one Ohio district is implementing and educating their K–8 community on the Science of Reading as a response to Ohio’s Plan to Raise Literacy Achievement Initiative.

Access the program

Explore as a teacher

Before logging in, watch this brief video on navigating the CKLA Teacher Resource Site.

Ready to explore as a teacher? Follow these instructions:

  • Click the CKLA Teacher Resource Site button below.
  • Select Log in with Amplify.
  • Enter the username: t1.nvk5@tryamplify.net
  • Enter the password: AmplifyNumber1
  • Click the CKLA Teacher Resource icon
  • Select a grade level

Explore as a student

Before logging in, watch this brief video on navigating the CKLA Student Hub.

Ready to explore as a student? Follow these instructions:

  • Click the CKLA Teacher Resource Site button below.
  • Select Log in with Amplify.
  • Enter the username: s1.nvk5@tryamplify.net
  • Enter the password: AmplifyNumber1
  • Click the CKLA Teacher Resource icon
  • Select a grade level

Check out these additional resources

Nevada submission resources:

CKLA review resources:

What’s included in our literacy curriculum for 6–8

Amplify ELA is a blended literacy curriculum designed specifically for grades 6–8. The heart of every lesson is the text. Our core English Language Arts curriculum enables teachers to teach skills through texts and develop their students’ muscles for building meaning through reading. With Amplify ELA, students learn to attack any complex text and make observations, grapple with interesting ideas, and find relevance for themselves.

Year at a glance

Each grade includes six core units centered on literary or informational texts, delivered in several forms of media. In addition to these main units, students will engage with targeted Grammar lessons and a dedicated Story Writing unit, plus two to three immersive learning experiences called Quests.

Dahl & Narrative

1 assessment lesson
4 sub-units | 28 lessons | 4-6 weeks

A man with a mustache looks through a microscope at a slide, with abstract yellow lines in the background.

Mysteries & Investigations

1 assessment lesson
5 sub-units | 32 lessons | 4-6 weeks

A man with a mustache looks through a microscope at a slide, with abstract yellow lines in the background.

The Chocolate Collection

1 assessment lesson
5 sub-units | 25 lessons | 4-6 weeks

The Greeks

Myth World Quest

1 assessment lesson
4 sub-units | 25 lessons | 4-6 weeks

A man with a mustache looks through a microscope at a slide, with abstract yellow lines in the background.

Summer of the Mariposas

1 assessment lesson
2 sub-units | 27 lessons | 4-6 weeks

A man with a mustache looks through a microscope at a slide, with abstract yellow lines in the background.

The Titanic Collection

1 assessment lesson
5 sub-units | 25 lessons | 4-6 weeks

A man with a mustache looks through a microscope at a slide, with abstract yellow lines in the background.

Red Scarf Girl

1 assessment lesson
4 sub-units | 31 lessons | 4-6 weeks

A man with a mustache looks through a microscope at a slide, with abstract yellow lines in the background.

Character & Conflict

1 assessment lesson
4 sub-units | 29 lessons | 4-6 weeks

A man with a mustache looks through a microscope at a slide, with abstract yellow lines in the background.

Brain Science

Perception Academy Quest

1 assessment lesson
4 sub-units | 25 lessons | 4-6 weeks

A man with a mustache looks through a microscope at a slide, with abstract yellow lines in the background.

Poetry & Poe

The “Who Killed Edgar Allen Poe” Quest

1 assessment lesson
5 sub-units | 29 lessons | 4-6 weeks

A man with a mustache looks through a microscope at a slide, with abstract yellow lines in the background.

The Frida & Diego Collection

1 assessment lesson
5 sub-units | 25 lessons | 4-6 weeks

A man with a mustache looks through a microscope at a slide, with abstract yellow lines in the background.

The Gold Rush Collection

1 assessment lesson
5 sub-units | 25 lessons | 4-6 weeks

A man with a mustache looks through a microscope at a slide, with abstract yellow lines in the background.

Perspectives & Narrative

1 assessment lesson
4 sub-units | 27 lessons | 4-6 weeks

A man with a mustache looks through a microscope at a slide, with abstract yellow lines in the background.

Liberty & Equality

1 assessment lesson
6 sub-units | 38 lessons | 4-6 weeks

A man with a mustache looks through a microscope at a slide, with abstract yellow lines in the background.

Science & Science Fiction

1 assessment lesson
3 sub-units | 29 lessons | 4-6 weeks

A man with a mustache looks through a microscope at a slide, with abstract yellow lines in the background.

Shakespeare’s Romeo & Juliet

1 assessment lesson
2 sub-units | 22 lessons | 4-6 weeks

A man with a mustache looks through a microscope at a slide, with abstract yellow lines in the background.

The Holocaust: Memory & Meeting

1 assessment lesson
6 sub-units | 21 lessons | 4-6 weeks

A man with a mustache looks through a microscope at a slide, with abstract yellow lines in the background.

The Space Race Collection

1 assessment lesson
5 sub-units | 25 lessons | 4-6 weeks

Units at a glance

Amplify ELA lessons follow a structure both grounded in regular routines and flexible enough to allow for a variety of learning experiences. Lesson structures vary from day to day, ensuring that students are always engaged.

Learn more in the Amplify ELA Grade Overview.

Unit 6A

Dahl & Narrative

Students begin with narrative writing to develop foundational Focus skills and establish key classroom routines. Teachers use this work to create targeted feedback cycles and build a vibrant community centered on diverse experiences. Students then apply observational skills to Roald Dahl’s Boy: Tales of Childhood, learning to work closely with textual evidence.

Unit 6B

Mysteries & Investigations

Students read like an investigator to embark on a multi-genre study into the mesmerizing world of scientific and investigative sleuthing. The Secret of the Yellow Death: A True Story of Medical Sleuthing by Suzanne Jurmain, and Sir Arthur Conan Doyle’s Sherlock Holmes stories take place in the late 19th century, when medical diagnostics and criminal investigations were still evolving into scientific fields.

Unit 6C

The Chocolate Collection

Students explore primary documents and research the diverse cultural roles chocolate has played over 3,700 years, from its various uses in ancient Mexico to issues with modern production. Along the way, they build information literacy skills, craft research questions, and collaborate in Socratic seminars. Students also learn how to construct an evidence-based argument and use those skills to write pieces aimed at convincing readers about chocolate preferences, school lunch policies, and recommendations for local candy stores.

Unit 6D

The Greeks

Students closely explore and analyze three stories from Greek mythology: “Prometheus,” “Odysseus,” and “Arachne.” Drawing on the routines and skills established in previous units, these lessons ask students to move from considering the state of a single person to contemplating broader questions concerning the role people play in the world and the various communities they inhabit.

Unit 6E

Summer of the Mariposas

Students read Summer of the Mariposas by Guadalupe García McCall, a contemporary Latino retelling of The Odyssey. Following five sisters on their journey into Mexico and back, students explore this reimagining of the hero’s journey as they encounter Mexican folklore and Aztec legends along the way. Students analyze character development, compare the novel to Homer’s original, research Aztec mythology, explore symbolism, and engage in collaborative discussions before writing an essay about what makes the heroes successful.

Unit 6F

The Titanic Collection

Students explore primary documents and conduct research to understand the 1912 Titanic disaster, building information literacy skills by examining artifacts such as dining menus, ship photos, telegraph transcripts, and newspaper accounts. Each student is assigned a passenger from the manifest and writes a narrative account from that person’s perspective, considering different views. Students also participate in Socratic seminars to examine the complicated issues within the Titanic story.

Unit 7A

Red Scarf Girl & Narrative

Students begin with narrative writing to develop foundational Focus skills while teachers establish targeted feedback cycles and build a classroom community centered on diverse experiences. After exploring how they describe their own experiences and emotions, students apply the same close attention to analyzing details in Ji-li Jiang’s Red Scarf Girl: A Memoir of the Cultural Revolution.

Unit 7B

Character & Conflict

Students analyze characters’ responses to conflict and examine how authors use character interactions to develop theme and perspective. They read Carson McCullers’ “Sucker” and Lorraine Hansberry’s A Raisin in the Sun, both texts that explore how families facing hardships can support and harm one another. Students observe complex character growth and discuss issues of identity, family obligations, and differing notions of success.

Unit 7C

Brain Science

Students explore narrative nonfiction and informational texts about brain science to understand what it means to be human and how their developing brains impact daily experiences. They also build awareness of their cognitive strengths and analyze the structures of informational texts and scientific arguments. Key texts include Phineas Gage, Inventing Ourselves: The Secret Life of the Teenage Brain, and Oliver Sacks’ The Man Who Mistook His Wife for a Hat.

Unit 7D

Poetry & Poe

Students learn visualization techniques to read like a movie director, beginning with poems by D.H. Lawrence, Federico García Lorca, and Emily Dickinson to form mental images. They then read three Edgar Allan Poe texts, creating storyboards and analyzing narrative elements to learn about unreliable narrators. Students also participate in the murder-mystery Quest “Who Killed Edgar Allan Poe?” and write an essay arguing whether they can trust a narrator in the unit’s texts.

Unit 7E

The Frida & Diego Collection

Students explore primary source documents and research on Mexican artists Diego Rivera and Frida Kahlo, learning how they drew inspiration from Latin American folklore, politics, and customs. Along the way, students build information literacy by generating research questions and visual analysis skills through close reading of key paintings. They also compare the artists’ descriptive writing to Shakespeare’s and analyze figurative language. The unit culminates in a research project showcasing their interpretation of Frida and Diego’s work and legacy.

Unit 7F

The Gold Rush Collection

Students explore primary documents and conduct research on the California Gold Rush, building information literacy skills and constructing research questions. They also learn about the diverse people who participated, compare fictional and historical accounts, and participate in Socratic seminars. Students write narrative accounts from specific perspectives and complete a culminating research assignment combining essay and media project elements.

Unit 8A

Perspectives & Narrative

Students learn to read like writers, paying attention to craft and writing moves that shape reader experience and developing Focus and Showing skills as they build collaborative classroom routines. Students study three narrative texts, exploring themes of belonging and identity through close reading. They also practice alternating between analytic and narrative writing, and conclude with an essay arguing whether the mothers in Amy Tan’s “Fish Cheeks” are role models. 

Unit 8B

Liberty & Equality

Students study Civil War-era writings that debate the meaning of “all men are created equal,” exploring various perspectives on American ideals. Key texts include Walt Whitman’s Leaves of Grass, Frederick Douglass’ Narrative, and Harriet Ann Jacobs’s Incidents in the Life of a Slave Girl. The unit culminates with an essay examining Douglass’s arguments and Lincoln’s Gettysburg Address to consider what America means by “all men are created equal.”

Unit 8C

Science & Science Fiction

Students read Gris Grimly’s Frankenstein, a graphic novel adaptation of Mary Shelley’s novel, exploring themes of creator responsibility, societal influence, and the risks of scientific inquiry. They trace Victor’s sympathy for his creation, rewrite scenes from the creature’s perspective, and debate whether Victor owes the creature a companion. The unit concludes with an essay determining whether the creature should be considered human.

Unit 8D

Shakespeare’s Romeo & Juliet

Students read five excerpts from Shakespeare’s Romeo and Juliet to learn key elements of Shakespearean English through close reading. They practice memorizing and reciting the famous “Prologue,” put on stage performances, translate Shakespeare’s language into contemporary terms, and study the Shakespearean sonnet form. The unit concludes with an essay arguing whether love or hate is responsible for Romeo’s death.

Unit 8E

Holocaust: Memory & Meaning

Students use close reading to explore memoirs and primary sources that address two key Holocaust questions: How do societies become participants in atrocity, and what are our responsibilities as witnesses? Students analyze multiple perspectives through texts, including Alexander Kimel’s “I Cannot Forget,” Irene Butter’s Shores Beyond Shores, 1936 Olympics propaganda, and excerpts from Maus and Night.

Unit 8F

The Space Race Collection

Students explore primary documents and conduct research on the Space Race. They build information literacy skills, construct research questions, and learn about diverse participants from Soviet cosmonauts to American heroes like Buzz Aldrin and Katherine Johnson. Each student researches an assigned cosmonaut or astronaut and writes space blog entries from their perspective. Students also complete a capstone research essay and media project.

Print & digital components

The program includes instructional guidance and student materials for a year of instruction, with lessons and activities that keep students engaged every day.

A diagram shows the Amplify ELA curriculum with examples of the digital teacher edition on a tablet, print teacher edition pages, and a teacher projection of an artwork on a screen.

Teacher materials

Teacher Edition

Available digitally and in print, the Teacher’s Edition contains all the information teachers need to facilitate classroom instruction, including detailed lesson plans, video teacher tips, presentation slides, standards alignment, Exit Tickets, real-time differentiation strategies, and robust reporting.

Student materials

Student Edition

Available digitally and in print, student materials guide middle schoolers through complex texts and writing by engaging them with high-quality narrative and informational texts—providing videos, audio supports, and a digital experience that captures their attention. They also keep all of their writing in one place with a personal Writing Journal.

A collection of Amplify ELA materials including a print student edition, a digital student edition on a laptop, a writing journal, and an Arachne literature module.

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South Carolina review for grades K–5

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English language arts curriculum for middle school

With Amplify ELA, students learn to tackle any complex text and make observations, grapple with interesting ideas, and find relevance for themselves.

Rated all-green on EdReports, Amplify ELA earned perfect scores across all gateways. Para la versión en español, haga clic aquí.

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Easy and adaptable to teach

With six levels of embedded differentiation and assessments, teachers can make sure students are gaining key skills while not interrupting instruction. Because the program does this work in the background, teachers have more time doing what they love.

Also, only Amplify offers the 100-Day Pathway, a built-in guide to covering required content for each grade level in just 100 days while allowing teachers to add supplemental lessons and activities.

Knowledge Matters in Middle School

Amplify ELA has been recognized by the Knowledge Matters Campaign as a high-quality, knowledge-building literacy curriculum.

The Campaign highlights Amplify ELA as a program that infuses wonder and excitement into every learning experience—forging connections across grade levels and providing comprehensive support for both students and educators.

Read more on Knowledge Matters.

Our approach

Through its engaging digital program, powerful differentiation and assessment tools, and step-by-step instructional guides, our curriculum responds directly to the challenges and opportunities faced by middle school students and teachers.

See the research behind the program.

We empower students to become critical thinkers.

With text always at the center, students are encouraged to make ideas and opinions about meaning for themselves. Rather than focusing on right or wrong answers, they develop ideas and opinions on relevant, real-world, texts.

A student sits at a desk reading a textbook in a classroom, part of the Amplify ELA program, with other students and educational posters visible in the background.
Two students sit at desks in a classroom, looking forward with laptops open in front of them. Classroom posters and a whiteboard are visible in the background.

We provide six levels of differentiated support.

Multiple entry points and six levels of embedded differentiated support allow every student, regardless of fluency or ability level, to engage with the same complex texts and curriculum.

We assess while you instruct.

Embedded assessments and reports provide insight into each student’s progress without having to interrupt daily instruction. With data being collected at every learning moment, teachers can respond to student needs faster than ever before.

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Amplify your teaching with ELA PD!

Amplify ELA offers targeted professional development (PD) sessions designed to optimize teaching strategies, enhance student engagement, and ensure effective curriculum delivery. Gain insights and techniques to make the most of your instructional time.

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Discover principles of true engagement in middle school ELA

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What’s included

Amplify ELA is a rigorous core curriculum that empowers teachers and engages middle school students.

Student Edition

Available digitally and in print, the student materials guide middle schoolers through complex texts and writing by:

  • Engaging students with high-quality narrative and informational texts.
  • Providing videos, audio supports, and digital experiences that capture their attention.
  • Keeping all of their writing in one place with a personal Writing Journal.

Teacher Edition

Available digitally and in print, the Teacher Edition contains all the information teachers need to facilitate classroom instruction, including:

  • Detailed lesson plans.
  • Video teacher tips embedded in the lesson.
  • Standards alignment and exit tickets.
  • Real-time differentiation strategies.
  • Robust reporting.

Interactive Quests

Quests are fun, week-long immersions into a specific, multilayered topic. They enable students to practice analytical reading, writing, speaking, and listening skills—all while building a strong classroom community.

Digital library for independent reading

The expansive Amplify Library includes more than 700 digital fiction, nonfiction, classic, and contemporary titles.

Amplify ELA makes teachers’ lives easier

Our program ensures that standards are covered, skills are taught, and students are prepared with proper scaffolding and encouragement.

  • Embedded differentiation to support all readers.
  • Informative and streamlined assessment system.
  • Robust reporting that tracks progress.
  • Powerful feedback tools.

Explore more programs

Our programs are designed to support and complement one another. Learn more about our related programs.

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Amplify CKLA for Anchorage

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What is mCLASS?

mCLASS is a best-in-class assessment platform that houses a suite of proven, gold-standard assessment measures and tools that can be flexibly combined to meet the unique literacy needs of both teachers and students across grades K–6, including:

  • Universal screening
  • Diagnostic assessment
  • Dyslexia screening
  • Progress monitoring
  • Dual language reporting
  • Targeted teacher-led instruction

What is the Lectura assessment?

The Lectura assessment is a brand-new interim and diagnostic assessment that consists of measures based on the latest research of how Spanish literacy develops.

Co-developed with the Center on Teaching and Learning at the University of Oregon (UO CTL) and validated in partnership with Dr. Lillian Durán, the Lectura assessment was created to provide educators with a high-quality, evidence-based tool to support understanding of Spanish-speaking students’ biliteracy development, specifically foundational Spanish reading skills, which includes measures of phonological awareness, alphabetic understanding and decoding, reading fluency, and reading comprehension.

The measures in Lectura were written from the ground-up to assess students’ literacy development based on how Spanish literacy develops. Measures explicitly account for the syllabic and morphological structures of Spanish, and connected text was written and calibrated with respect to syntactical, lexical, and grammatical rules of Spanish. For example, phonological awareness is measured using syllable segmentation, and letter sounds and syllable reading are included in the decoding subtests for greater face-validity (in lieu of pseudowords). Word choice reflects the multisyllabic word complexity and variety of Spanish, driven by how decoding skills develop in Spanish. As such, Lectura provides instructionally actionable data for all students, including those scoring below the benchmark and those who meet or exceed the benchmark.

The Lectura assessment measures were purposefully designed, developed, field tested, and evaluated to address limitations that educators of Spanish speaking students have experienced in assessments. Specifically in these ways:

  • Assessment measures based on current research on how Spanish literacy is developed
  • Culturally responsive word choice and content reflecting the regional diversity of Spanish
  • Technical adequacy established through rigorous study
  • A sample size and geographic diversity reflecting the broad population of Spanish speakers across the U.S.
  • Complete parity with English solutions (instructional tools, skill coverage)

Assessment measures by grade

Lectura measures at each grade level 
Measure Grade K Grade 1 Grade 2 Grade 3
Fluidez en nombrar letras A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.  
Fluidez en la segmentación de sílabas A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.    
¿Qué queda? A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.  
Fluidez en los sonidos de letras A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.    
Fluidez en los sonidos de sílabas A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.    
Fluidez en las palabras A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
Fluidez en la lectura oral   A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
¿Cuál palabra?   A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
Amplify measures at each grade level
Oral Language Español A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.  
Vocabulario A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.

Assessment measures sample videos

Please note that the videos below are intended for illustrative purposes only. Performance levels in mCLASS Lectura have yet to be finalized.

mCLASS Lectura measure: Fluidez en nombrar letras (FNL)

Students are asked to identify as many uppercase and lowercase letter names as they can in one minute.

mCLASS Lectura measure: Fluidez en los sonidos de letras (FSL)

Students are asked to identify the sounds of as many uppercase and lowercase letters as they can in one minute.

mCLASS Lectura measure: Fluidez en los sonidos de sílabas (LSS)

Students are presented with a page of printed orthographically regular Spanish syllables and asked to read as many syllables as they can in one minute.

mCLASS Lectura measure: Fluidez en la lectura oral (FLO)

Students are presented with an authentically written informational or narrative passage of Spanish connected text and asked to read as much of the passage as they can in one minute.

mCLASS Lectura measure: ¿Qué Queda? (QQ)

Students are presented with a word orally and then the examiner omits part of the word (i.e., compound word part, syllable, or phoneme). Students are asked to identify what word remains after the word part has been elided.

How is mCLASS Lectura different?

mCLASS Lectura combines the power of the mCLASS assessment platform and the effectiveness of the Lectura assessment measures. As a result – educators across the state are empowered with latest and greatest assessment tool.

More than a test, mCLASS Lectura is an integrated system that closes the knowing-doing gap by helping teachers take immediate instructional action that’s right for each and every student. What’s more, it addresses the classroom inequities Spanish-speaking students face along their early literacy journeys.

Spanish-speaking students have been underserved and misclassified for decades. With mCLASS Lectura, teachers of Spanish-speaking students finally have access to the same robust assessment tools that have been available to teachers of English-speaking students for years.

Plus! When mCLASS Lectura and DIBELS 8th Edition are used together, teachers are empowered with a more holistic view of their Spanish-speaking students abilities in both English and Spanish, making instructional next steps more targeted and effective.

How is mCLASS Lectura different?

  1. It gives teachers access to authentic Spanish measures. Amplify is the only provider of the Lectura assessment. Rather than a direct translation of an English assessment, our solution is the only one to provide teachers a research-based, authentic Spanish assessment that is both valid and reliable.
  2. It makes it faster and easier to understand where every student is in their early literacy journey. By combining 1:1 observational diagnostic assessments, dyslexia screening, progress monitoring, instant scoring, rigorous reporting, automatic student grouping, and targeted instruction all in one place, it reduces the instructional delays associated with manual scoring, manual data analysis, and manual lesson planning.
  3. It brings more equity to the classroom. When used in conjunction with mCLASS DIBELS 8th Edition, teachers have access to Dual Language Reports that highlight a students strengths and weaknesses in both English and Spanish.
  4. It makes every instructional minute count. In addition to one-minute measures that quickly gauge student progress toward reading proficiency, it leverages a teacher’s most powerful instructional tool — their own 1:1 observations.
  5. It drives growth more efficiently. Rather than relying on broad composite scores alone, granular data and in-depth insights for every student help teachers pinpoint exact skill gaps and areas of unfinished learning, making whole-group, small-group, and 1:1 instruction more targeted and effective.
  6. It saves teachers time. Instant reports, automatic student groups, and ready-to-teach lessons mean teachers spend less time cobbling together materials and more time working directly with students and responding to their needs.

Assessment systems must enable and compel educators to answer not just the “What?” questions, but also the “So What?” and “Now What?” questions. These are the questions that are essential in transforming classroom instruction, and the questions that mCLASS Lectura helps teachers answer with confidence.

How does mCLASS Lectura support screening for dyslexia risk?

mCLASS Lectura subtests have been specifically designed and validated to screen for dyslexia risks.

mCLASS Lectura was specifically developed to ensure the measure is able to meet state-level screening requirements for both dyslexia and universal reading screening. The research and development of Lectura was designed with this use in mind to accurately identify reading difficulties, including difficulties related to risk for dyslexia.

How does mCLASS Lectura turn data into instant action?

mCLASS Lectura gives you instant results and clear next steps for each student.

Quick and actionable reports provide detailed insight into students’ reading development across foundational literacy skills for teachers, specialists, administrators, and caregivers.

Screenshot of an educational software dashboard displaying student progress, with tabs for instruction and home connection in dual language.

Diagnostic assessment

mCLASS Lectura analyzes individual student response data through a scoring algorithm which aligns to the Colorado Department of Education’s stated purpose of a diagnostic assessment.

Our innovative approach to diagnostic assessment leverages an item-level evaluation of individual student responses in order to provide deeper insights into specific student weaknesses and areas of improvement. mCLASS Lectura analyzes individual student response data through a scoring algorithm which aligns to the Colorado Department of Education’s stated purpose of a diagnostic: “… to pinpoint a student’s specific area(s) of weakness and provide in-depth information about students’ skills and instructional needs.”

Ready-to-teach instruction

Immediately following the analysis of individual student responses, mCLASS Lectura provides an in-depth diagnostic report complete with suggested next steps, also known as “mCLASS Instruction.”

mCLASS Instruction evaluates each student’s responses on each individual subtest and instantly:

  • Provides a list of specific needs by student, such as struggling with medial vowel sounds or difficulty reading words with consonant blends.
  • Groups students automatically based on similar discrete skill needs, not simply composite scores like other assessment tools.
  • Recommends a variety of ready-to-teach lessons that specifically target each individual student’s areas of need or common areas of need for small-group instruction.

Classroom skill and benchmark summary

The Classroom Skill Summary report is a dashboard showing benchmark performance on each skill. Teachers can use it to determine which skill areas need instructional focus at a classroom level.

The Classroom Benchmark Summary report is a classroom-wide view of overall reading performance. Teachers can use this report to determine if composite scores improved, declined, or remained the same each semester.

Detailed benchmark performance

Teachers can see each student’s performance during the current school year, on each subtest as well as the overall composite. The benchmark goal displays below the subtest name when applicable. The ability to sort the columns in this report gives teachers more flexibility to analyze data the way they prefer.

Dual language reports

When mCLASS Lectura and mCLASS with DIBELS 8th Edition are used together, teachers will receive an asset-based picture of a student’s biliteracy and instructional guidance on how to leverage literacy skills in one language to support literacy skill development in the second language.

  • Side-by-side view of foundational literacy skills in English and Spanish
  • Explicit guidance to teachers to support asset-based instruction using cross-linguistic transfer strategies
Screenshot of a student's mCLASS Lectura literacy skills evaluation report detailing progress in English and Spanish reading abilities, with charts and textual information.

Progress monitoring summary

See which subtests have been assessed since the most recent benchmark assessment, how students performed on the three most recent progress monitoring assessments for each measure, and which students have not been progress monitored since the benchmark assessment.

Colorado READ Plans

The Colorado READ Act places importance on considering students’ English proficiency and the impact it may have on assessment. Thus the READ Act provides an option for districts to assess Spanish-speaking students in their native language, who are not yet partially proficient in English.

Amplify recommends that a student who is categorized by the mCLASS Lectura composite score as “At High Risk” (denoted in all reports as “red”) be considered as potentially having a “Significant Reading Deficiency,” then further diagnosed using mCLASS’ Instruction diagnostics.

When devising a READ Plan, teachers and instructional staff should first consider students at high risk on mCLASS Lectura as potentially having a “Significant Reading Deficiency,” and eligible for a READ Plan. Students are then further diagnosed using mCLASS’ Instruction diagnostics. When devising a READ Plan, teachers can rely on the relevant mCLASS Instruction and Reports to comply with the READ Act.

Caregiver supports

The mCLASS Home Connect letter provides parent and caregivers information in English or Spanish about the student’s literacy and guidance on how to support their child at home.

Screenshot of a digital document showing a student's performance evaluation, with text, tables, and color-coded performance ratings.

Explore our self-guided tour

Our self-guided tour is a great way to orient yourself to the organization of our mCLASS platform. Click the button below to get started.

A webpage titled "mCLASS overview" featuring text about the mCLASS early literacy suite for grades K-6. The page includes photos of children engaged in reading activities and navigation options on the left.

Contact us

Looking to speak directly with your Colorado representative? Get in touch with a team member by emailing HelloColorado@amplify.com or by calling us directly.

Enrollment over 2,500 students
Enrollment under 2,500 students
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Monty Lammers

Senior Account Executive

(719) 964-4501

mlammers@amplify.com

Vanessa Scott

Account Executive

(602) 690-9216

vscott@amplify.com

Learning to read is not innate. It needs to be taught intentionally and systematically—and science tells us how. The vast and growing body of research on early literacy is referred to as the Science of Reading. It draws on extensive research in cognitive science, linguistics, and neuroscience. It emphasizes the systematic teaching of foundational skills—such as phonics, phonological awareness, and decoding—in building vocabulary and comprehension. In other words, it deconstructs the processes behind how children learn to read, and provides evidence for the instructional practices and early literacy resources that can get them there.

Read more 

The Science of Reading refers to the pedagogy and practices proven by extensive research to effectively teach children how to read. It places a strong emphasis on both components of the Simple View of Reading, demonstrating that systematic and explicit instruction in phonics and and intentionally sequenced knowledge building are critical to reading success.

In a balanced literacy environment, learning happens through reading and writing immersion, where the need for explicit instruction in phonics is recognized but is not the primary focus.

The key difference between the approaches lies in their emphasis on foundational reading skills and a coherent approach to building language comprehension.

A balanced literacy approach typically includes a combination of whole language approaches (emphasizing meaning and context) and phonics instruction. Balanced literacy instruction is designed to be flexible and open to interpretation by the instructor. It may include the three-cueing system, which encourages students to rely on syntactic and semantic clues in a text to read an unfamiliar word, rather than decoding (Does it look right? Does it sound right? Does it make sense?). Balanced literacy practitioners may also use leveled reading to differentiate instruction, which can can limit vocabulary exposure, hinder in-depth comprehension skills, and further widen achievement gaps.

Balanced literacy has long been a popular approach to reading instruction, with educators appreciating its openness to variation. But advocates for the Science of Reading argue that an evidence-based approach aligned with known cognitive processes and a focus on foundational skills and language comprehension provides the most solid foundation for reading instruction—for confident and struggling readers alike.

Read more

According to our friends at The Reading League, the Science of Reading is important not because it gives us an effective way to teach reading, but because it gives us the most effective way to teach reading.

“The Science of Reading is critical because it emphasizes evidence-based instruction. Decades of scientific research on reading have consistently shown the most effective ways to teach reading. The Science of Reading incorporates this research, which includes phonemic awareness, phonics, fluency, vocabulary, and comprehension.”

The Reading League also takes it to the next level: What happens when all children have access to the most effective early literacy and reading education? “We believe in a future where a collective focus on applying the Science of Reading through teacher and leader preparation, classroom application, and community engagement will elevate and transform every community, every nation, through the power of literacy.”

The Science of Reading has identified five foundational reading skills that are considered crucial for early reading development. One of those skills is phonics. In other words, the Science of Reading has established that phonics are crucial, but the Science of Reading is not the same as phonics.

Phonics instruction helps students learn how to sound out and blend letters to read words accurately. As we know from the Simple View of Reading, two fundamental skills are required for reading with comprehension:

  1. Decoding—the ability to recognize written words (via phonics)
  2. Language comprehension—understanding what words mean

And the Science of Reading also reminds us that students do not have to learn phonics or decoding before knowledge comes into the equation. “The background knowledge that children bring to a text is also a contributor to language comprehension,” says Sonia Cabell, Ph.D., associate professor at Florida State University’s School of Teacher Education, on Science of Reading: The Podcast.

The Science of Reading is an evolving field built on decades of high-quality, evidence-based research that continually integrates new insights gathered from cognitive neuroscience, psychology, and linguistics. These ongoing studies constantly refine our understanding of how the human brain processes language and learning, enabling more personalized and effective teaching strategies that can adapt to the wide-ranging learning needs of students.

Like other sciences such as medicine, astronomy, or engineering – new advancements in reading technology allow us to understand how the brain works and refine our practices. Every scientific advancement in this field of reading science deepens our comprehension of reading-related challenges like dyslexia and informs the development of evidence-based interventions. We don’t believe that the Science of Reading can be reduced to a fad or trend. Rather, it is a continually evolving, enduringly effective discipline, grounded in rigorous research and driven by the quest for better comprehension of how we read and learn.

Assessment grounded in the Science of Reading can help identify children at risk of dyslexia at the earliest possible moments, creating the widest opportunity for intervention.

People with dyslexia often experience challenges in phonological awareness. They may struggle to break down words into their component sounds and to recognize the relationships between letters and sounds. Systematic and explicit instruction in phonics and phonological awareness can help individuals with dyslexia develop necessary phonological skills. This evidence-based instruction can also help students who have difficulty with decoding.

Further, evidence-based comprehension instruction, including explicit instruction in vocabulary and comprehension strategies, can support students with dyslexia in understanding and making meaning from text.

Download our free dyslexia toolkit

The Science of Reading can be integrated with a Multi-Tiered System of Supports (MTSS) to provide comprehensive and targeted reading instruction for all students. The Science of Reading aligns with a tiered model by providing evidence-based practices for instruction at each tier. An MTSS includes universal screening to identify students at risk of reading difficulties; the Science of Reading can also guide the selection of screening measures to assess specific foundational skills. Aligning the Science of Reading with an MTSS framework can also enhance instructional practices and interventions, ensure data-driven decision making, and help meet the needs of all students.

Read more

Integrating the Science of Reading and the Science of Writing strengthens our approach to teaching literacy. Reading and writing are interdependent. Understanding how sentences are built not only contributes to better reading comprehension, it also helps writers develop clear, logical text. As students grow as readers, they also grow as writers, leading to a comprehensive literacy education. Clear thinking and effective writing are crucial for expressing ideas. By fostering both skills, teachers better support students in becoming confident readers and writers, prepared for academic challenges and beyond.

One of the research-based frameworks used in the Science of Reading is the Simple View of Reading. According to the Simple View, two cognitive capacities are needed for proficient reading: (1) understanding the language (comprehension) and (2) recognizing words in print (decoding). A true Science of Reading program is designed from the start for students to build these skills, in a developmentally appropriate way.

It will also emphasize the importance of knowledge building by exposing students to a diverse array of new topics spanning history, science, and literature, organized intentionally and coherently within and across grades. Deep and intentionally sequenced knowledge domains will help build a student’s vocabulary and understanding of complex texts. And it will include instruction in  all five foundational skills: phonics, phonemic awareness, vocabulary, fluency, and comprehension.

Download our free ebookScience of Reading: Making the Shift, which includes a checklist of what to look for in a curriculum based on the Science of Reading. Learn more from our friends at The Reading League.

Actually, we have a full literacy suite built on the Science of Reading! It includes:

  • mCLASS® assessment, powered by DIBELS® 8th Edition, a gold-standard universal and dyslexia screener, plus a progress monitoring tool, all in one.
  • Amplify Core Knowledge Language Arts (CKLA), which provides explicit, systematic foundational skills instruction combined with intentional knowledge building.
  • Boost Reading, a highly adaptive personalized reading program that reinforces the core curriculum and supports enrichment, remediation, and intervention for each student in your classroom.
  • mCLASS Intervention, a staff-led intervention program targeted to Tiers 2 and 3, made easy with automatic data-driven grouping and sequenced explicit, systematic skills lesson plans to support at-risk students.

Reading requires deliberate, systematic attention—and so does shifting to the Science of Reading in your school or district. It requires not only the right curriculum, but also all-new mindsets, metrics, and more. Reflecting years of experience supporting real educators, our resources will walk you through the process of change management in your community—and show you why the shift is worth it. View our Science of Reading change management playbook.