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S1-09: Supporting K–8 science students in the digital world: Ricky Mason

Podcast cover for "Science Connections," Season 1, Episode 9, featuring "Ricky Mason" discussing K–8 science education. Includes a globe illustration and decorative science-themed elements.

In this episode, Eric sits down with Ricky Mason, chief executive officer of BrainSTEM. Ricky shares his passion for inspiring students into science careers, and his path from an engineering career with organizations like the Department of Defense, National Aeronautics and Space Administration, and the Central Intelligence Agency to starting BrainSTEM, an education program that develops creative digital tools to enable all teachers and students to dive deeper into STEM content. Ricky and Eric talk about representation in science classrooms and the importance of embedding fun within K–8 science content! Explore more from Science Connections by visiting our main page.

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Ricky Mason (00:00):

I feel like comfort is where dreams go to die. And I’m still dreaming every night. So I’ll wake up, chasing them.

Eric Cross (00:08):

Welcome to Science Connections. I’m your host, Eric Cross. My guest today is Ricky Mason. Ricky is an engineer whose career included lead roles at the Department of Defense, NASA, and the CIA. Ricky transitioned to education as an adjunct faculty at the University of Kentucky. And while there, he founded BrainSTEM, an edtech company that developed a 3D virtual reality metaverse for STEM education. Today, BrainSTEM serves public school districts, private schools, and nonprofits. And in this episode, we discuss what led Ricky to creating BrainSTEM Metaversity, and how he’s using the metaverse to transform STEM learning for students. And now please enjoy my conversation with Ricky Mason. How did you, so like maybe going back doing your origin story, maybe you can talk about it, but brother, you don’t sleep. Talk about keep making moves, your hashtag, I mean, I was looking at your LinkedIn profiles, looking at your details. You get after it. I was getting tired just reading it. I was like John Hopkins, electrical engineering, real estate, starting companies. You must have that gene where it’s like four hours of sleep and then you’re like, ready to go.

Ricky Mason (01:19):

Yeah, man. My mom told me if I didn’t stay busy, then I’m in trouble. So when I was about 14, she told me that. I said, well, Mama, I guess I’m gonna stay busy then. And yeah, man, that’s just been my life. I feel like if I don’t keep making moves, then I’m in trouble. So, feel like comfort is where dreams go to die and I’m still dreaming every night. So I’ll wake up chasing them.

Eric Cross (01:44):

I feel like a kindred spirit with you. So, were you always interested in STEM like, was there something like a moment or a year where you remember you were like, this is my jam. This is what I’m gonna get into.

Ricky Mason (01:57):

Yeah, man. When it really clicked for me was in the fifth grade. I was at a school assembly and an IBM engineer came in and he brought a robot and he programmed it with punch cards right on the stage. And I got the opportunity to come up andyou know, put one of the punch cards in the robot to program it. And I asked him, I’m like, what is your job? He said, I’m a robotics engineer. And I went home right after that assembly and I said, Mom, that’s what I wanna do, become a robotics engineer. And my mom would take me to the libraries. Well, I felt like I was getting outta bible study on Wednesdays by going to the library. So I went there and I started researching robots.

Ricky Mason (02:39):

And at the time the robots that were popular were all being sent to space. And it was the spiritless. It was being sent to Mars. And I said, Mom, well, I guess I gotta become an astronaut if I’m gonna be a robotics engineer. And that’s kind of what set me out on that dream. And my mom started trying to find outlets for me to get involved in STEM, but it was really tough to find those outlets, you know, especially in that fifth to eighth grade range here in Kentucky. So that was kind of where it started for me man, when I knew that yeah, engineering is what I wanna do.

Eric Cross (03:14):

What does an electrical engineer do? I imagine there’s different types of specialties, but like, was there something that you specialize in that you focused on or was it, is it just kind of like a generalist field?

Ricky Mason (03:23):

Yeah, so I would say, yeah, man, it’s a huge field. So you could be doing anything from, you know, power, like power coming into your house. So those large power systems all the way down to nanotechnology and microchips. I like to tell people I’m a real full stack engineer, so my wheelhouse is kind of from the PCD, the little green computer chips, all the way to the cloud. Over my career, I’ve had some pretty cool jobs. One of those things was I was a test engineer for the army. So I got to test weapons up at Aberdeen Proving Ground for the Army. So I got to drive those weapons and test them before they went to theater there. After that,I worked at United Launch Alliance down at Cape Canaveral where I launched five rockets.

Ricky Mason (04:07):

So I was a part of the electrical ground systems team there where we were responsible for all of the electrical systems on the rocket while it was on the pad. Somonitoring the temperature of the rocket, the fuel, the entire system for safety while it was on that pad. And then finally I worked at the CIA as a computer engineer building data centers and as a data center architect for some of our remote systems and virtualizing our systems. So kind of had a broad spectrum of things there. And then finally coming back to the University of Kentucky as a research engineer and faculty. I developed drone technology for monitoring crops. So flying drones over crops with LIDAR, just like self-driving cars with high-definition cameras to pull in data about those crops, to help farmers determine about pesticides fertilizers, and the overall health of their crops from a remote location.

Eric Cross (05:10):

It’s so neat to hear you talk about it and to see how this is all built up to what you do now with BrainSTEM. How would you explain what BrainSTEM is? I know that’s your, that’s kind of your baby right now and what you’ve been working on a few years.

Ricky Mason (05:23):

Yeah, man, we started BrainSTEM in 2019 officially, but I would say BrainSTEM has been almost 10 years in coming. While I was in undergrad, I played football at the University of Kentucky. But I got hurt going into my sophomore year and that kind of shattered my dreams of football. And that’s when I really got back into engineering. One of my professors asked me to come to a robotics competition and I saw these third graders and sixth graders programming robots. And I’m like, oh my God, they’re programming robots! And I had no idea how to code or what to do with these things. And where was this a when I was a kid? And so I immediately bought one of those robots and taught myself how to program it <laugh> and then we started a robotics team in Lexington,there at a church.

Ricky Mason (06:10):

And we got a sponsorship from Lexmark to start that team. And that was kind of my first leap into STEM and teaching STEM and creating programs for students in STEM. I did that in undergrad and like I said, fast forward 10 years later, I’m teaching at the University of Kentucky and we’re struggling to recruit STEM students. Why aren’t students going into STEM? I hear too many adults tell me, oh man, I wish I would’ve done engineering, or I started out in engineering, but I left engineering or I wish I could go back to school for engineering or learn to code. And I’m like, I asked them like, why didn’t you do this? What happened? And often it’s like, it was the math. It was, oh, I didn’t get into it until I was in college. And I’m like, well, that’s the key.

Ricky Mason (06:52):

I knew I wanted to do this in the fifth grade. And I started with a plan in the fifth grade to achieve these goals and dreams. And I started doing that research and realizing that the same problem existed that I had. There was no outlet for kids to get involved in STEM, and so many kids have an affinity for STEM an early age. So we started BrainSTEM to provide access to STEM education and exposure STEM careers, STEM professionals, and just to STEM fields as a whole, because too often kids may know about the term, engineer, or the term, scientists, but they don’t really know what those people do or have a strong connection with the field or have any hands-on projects that they kind of done around those things or met anyone like me.

Ricky Mason (07:42):

I didn’t meet an engineer until I was in college. So that has really been impactful for some of the students that we’ve been able to touch. I had a family reach out to me. They moved to Lexington from California and they were like, man, I really want my ninth-grade son to get involved in engineering. So we started a weekend program with that one student and it went amazing. Like we competed in science fairs, we applied for different college programs and things like that. So it became an entire like mentorship program. And I’m proud to say that a year ago, he actually graduated with his bachelor’s in electrical engineering from your side of town, UCSB. It was just awesome to actually see this come full circle. And that’s kind of one of the first things that we did before we actually formalized as BrainSTEM University.

Eric Cross (08:34):

What will be like your elevator pitch for a teacher? If you were gonna say, this is what BrainSTEM does. I have the luxury of going through it on the site, but since we’re on a podcast, how would you kind of pitch it to people letting them know, like what, what does it do? Who does it serve?

Ricky Mason (08:47):

Yeah. So BrainSTEM provides STEM curriculum and STEM magnets for schools and nonprofits looking to increase access to STEM for K through 12 students. We also have launched our BrainSTEM Metaversity, a metaverse product for teachers to take their 2D Google classroom and convert it into a 3D metaverse classroom where students can collaborate during a 3D class. So all of your students show up as their avatars that they can select from our inventory of 150 avatars, and enjoy class in a 3D gameified Minecraft like World.

Eric Cross (09:26):

So I made my avatar by the way. It’s kind of tight, I have to say, it’s kind of tight. Hey, I’m gonna share. So those of you in the podcasts I’ll share it so you can see it. You’re not gonna be able to see it right now, but since I have the man himself I gotta share it with him just so I can get a reaction. So can you see that?

Ricky Mason (09:43):

Yeah. <laugh> That’s so good.

Eric Cross (09:44):

I feel like I wanna look like him though. I want him in real life. Like I want be able to switch to looking like my avatar

Ricky Mason (09:52):

<Laugh>

Eric Cross (09:54):

That was the first thing that I jumped on, when I went on your site, was making the avatar and I had so much fun doing it. I actually took longer than I probably wanna admit cause I was like customizing everything

Ricky Mason (10:03):

Yeah, man. It’s so fun. And that’s exactly what, you know, when you can show up as the person you want, it changes your whole being. I’ve seen kids that are quiet in class. They show up as their avatar and they’re talkative, they’re asking questions, they’re moving around the room, interacting with other kids. I feel like it’s almost like a superpower just to put your avatar on.

Eric Cross (10:25):

So what is something that a teacher could have their students go and learn or do if they, if they signed up,

Ricky Mason (10:31):

Let’s kick it off. So how we started with the metaverses, was teaching coding. So our first class was Minecraft and Python coding in the metaverse. So students showed up in the metaverse with our virtual instructor, that instructor led a lecture in the metaverse and then those students could collaborate on their Python games. So, they created and built the game in Python. We shared those games in the metaverse and we have our leaderboards that are in the metaverse, as they’re completing these challenges, including these games, then sharing them back in the metaverse with other students and getting that feedback on their game. So we’ve seen huge excitement from students when I can come back in and see my friend’s work. Like too often, students don’t get to see their work and that’s motivation to do better when I’m like, Jim’s gonna see my work. It’s amazing to see that motivation when students are sharing their work with other kids and not just their parent or just them and the teacher or seeing their grades. It’s been really cool to see.

Eric Cross (11:33):

You have that genuine audience too. Like that real-time feedback. And then like an authentic audience for students that makes everything seem, it takes it up a notch.

Ricky Mason (11:42):

Yeah, man. And then as we have built on this platform, so like you said with that avatar, so think if you created a really cool looking avatar and other students wanted to be that avatar, we have a way of sharing that avatar back into the world and in the inventory so that other students could then be your avatar. Or, if you create a world, we could then share that world back into the inventory, so the teacher could have class in a world that you created.

Eric Cross (12:07):

They’re creating content, not just consuming it. They’re actually creating content that could be shared across like grade levels or students.

Ricky Mason (12:14):

Well, we’re gonna say right now it’s just within your classroom. Eventually yes, we want students to be able to share that across school districts. At least we think that data will be probably limited to those kinds of realms as far as schools go. But you’ll be able to share this across sixth grade. We’ll be able to see what everyone in the sixth grade is doing in their STEM class or their game development class or their history class, per se, even if they’re giving back a presentation or what we have here in JCPS is backpack skills of success, where students are presenting on things that they’re learning that relate back to core competencies that the district is focused on. And I think that sharing those in the metaverse and doing those in the 3D world will be an awesome experience for students.

Eric Cross (12:56):

Are you seeing anything else as far as those skills that we see that are needed in coding? Is there something that the VR adds that was distinct from maybe just a kid with a Chromebook in his class that it’s just him in isolation doing the coding? Was there any like aha moments or surprises when they’re in the VR world doing this?

Ricky Mason (13:13):

I think the biggest thing is we could actually show them real examples of code working in other ways. Sofor example, if we’re working through loops, we can show them something looping. We can relate these functions to real-world things happening in the VR world so that they can see and better relate the actual concept with visuals, if that makes sense. So, you’re in loop Allen the whole time you’re learning about loops. You’re immersed in that kind of world. What we’ve seen is students really start to, you know, they it pick up and it clicks a lot faster because some of these concepts are so abstract for students to understand, when we can relate them to things in that world that they see that are in front of them, that they can grasp before we go to okay, type in “while” “”parentheses” <laugh> they can thenrelate that and pick up on those clues a lot better after they’ve seen those things in the world.

Eric Cross (14:09):

So they can actually visualize it in the metaverse. Whereas outside of it, it’s more just, just text-based coding and they’re not isolated. Like the first thing I’m thinking about is how like, with my own students, when they’re learning Sratch or Python, it’s not easy to share back and forth because they all are on individual accounts and they’d have to go on a different computer, or we’d have to find some way to publish it. And then all the kids would have to access it. But it sounds like in the metaversity classrooms, it’s easy for students in that same class to see each other’s work. Am I getting that right?

Ricky Mason (14:37):

Yeah. So most of our classrooms are limited to 24 students and in some of our breakout classrooms, we limit them to about eight students. Everybody can share their screen, so students can share their screen in the metaverse. They can share their video in the metaverse. They can share documents in the metaverse. They can share their, like I said, their code or anything that they want to share with other students. They can kind of do that. So it’s been a really cool product, I think, for students to almost find independence to work within a group, in an online setting. As they’ve been working through these problems online and remote it’s been really cool to see how they use the metaverse and break out. Even in a class, they can go off into a section because it’s all spacial. If you walk away, I can’t hear your conversation. So they can go into a little section within a metaverse class and have their own breakout. And a teacher can walk over to them. Okay. You guys are working over here. Let me walk to my next group. Just like in class. So it’s been really cool to see those students use the metaverse like that.

Eric Cross (15:41):

Just listening to you talk about this. One of the exciting things about emerging technologies or taking what the private sector does, and someone with a mind like yourself, and go, how do I use this for education? Like, that’s something that like excites me and you’ve run with it. But I just thought about, you’re doing an hour of code, you’ve created this metaverse, and you can bring in somebody, a professional into the metaverse, but they’re in, you know, the Bay area, but they could be a software engineer for Tesla or Google or anybody. Could they move around the metaverse and take a look at different students’ work and interact in that way.

Ricky Mason (16:17):

Yeah, man, we get in there. We make metaverse selfies. I drop Lambos in the metaverse, we take picture with Lambos. We have scavenger hunts in the metaverse. It’s a really awesome experience. And that’s one of the big things I think that is so powerful, is like you said, we could have that engineer, that celebrity, we could have Travis Scott, you know, in the world meeting thousands of kids motivating them because they met their STEM goals. They met their, you know, their testing school goals or whatever. These are things that kids really care about. If I get the Travis Scott avatar or the Elon Musk avatar, because I completed the Elon Musk rocket challenge, like that’s huge for me to show up in class as that avatar, like it’s just like Fortnite and it’s bringing all of those mechanics into the classroom.

Eric Cross (17:07):

When I hear you talk about the metaverse and I hear you talk about the potential of where you want to go with it, I think about my own students, and I think about, how they would really have a genuine interest and desire to want to do this and probably be doing it when they don’t have to, like at home at night wanting to go back into it and interact. And, you’re also building this virtual community. I mean, are you seeing that like, cause I’m hearing that?

Ricky Mason (17:28):

Yeah, man, building that community is huge. And I often tell people all the time, I want the STEM community to be just like the basketball community, the football community. I want students to have that camaraderie built around them for learning STEM and participating in STEM activities and competitions. Because when you see students out there at a robotics, they have the same zeal, the same, you know, everything that you find at a football competition. So we just have to get behind them and back those events with the same enthusiasm that we back sports. And that’s the environment that I want to create for STEM students and for that STEM community, because I longed for that community when I was in school. And like I said, I had it in football, but I wanted both. I wanted the best of both worlds. I wanted my robotics guys and my football guys to show up together here at the competition and have a good time.

Eric Cross (18:23):

You’re absolutely right. Like robotics STEM, these things, community helps fuel like people’s interest and working together. And it brings people from the outside who are seeking that community. Like, hey, my friends are doing this, I wanna kind of check it out. That’s how we recruit a wider swath of our population into it. So it’s not this kind of very narrow channel of folks who are going into STEM.

Ricky Mason (18:45):

If you can’t find that community. I mean for me, I felt like I was the only one playing football who was interested in robotics. So I never told anybody because I didn’t feel like that related to anybody within my vicinity. So I kept that to myself and that’s the biggest thing. I think if we get these kids just talking more about their interests, because a lot of them are interested in robotics and space and these STEM topics, but they don’t have anyone that’s really nudging them or asking them or piquing their interest in those spaces and saying, hey man, it’s okay to, you know, learn about robots. It’s okay to geek out on space. <Laugh> So that’s been my goal and that’s kind of why I felt like this was the time in my career for me to kind of do this, be a face for STEM education and inspire kids to chase their goals and dreams. Over my career, I’ve had some really cool jobs, but I felt like I could keep doing cool jobs, but I’m like at the right age to still connect with those students and inspire them to chase their dreams. And that’s why I feel like right now, man, it’s just an opportune time to get these students involved in STEM.

Eric Cross (20:01):

We don’t get that. Oftentimes, when we’re solely doing the cool job or simply in the private sector, we don’t get those experiences as much as we do when we’re able to actually serve our community or students or take our passion, our skill set, and use it to serve another person. I hear that like, as you describe what you’re doing now is like, there’s something beyond just, you know, the using your skills and doing cool stuff, but there’s something I hear. That’s helping people and actually doing something you believe in that resonates deeply in you. And I can hear it as you talk about it.

Ricky Mason (20:30):

It’s been just amazing to actually chart out that journey. Like I said, and like tell kids, like, no man, I’m from right up the block from you, cause I mean, I’m building this back at home in my hometown. And that’s the reason why I kind of came back to kind of do that in my hometown, because I really want to, you know, relate to those students and inspire, you know, students here. Nobody thinks about technology coming out of Kentucky and that’s been a gift and a curse, I guess, with launching BrainSTEM in Kentucky. When I first started, I said, we’re a STEM education company, people are asking me what is STEM? So, that was where we started out with this in 2019, all the way to, you know, hey, in 2020, we’re gonna launch a metaverse. A metaverse! What is that? It’s been amazing to try to change the minds of not only Kentuckians about STEM and the importance of STEM, but the world that a metaverse company is coming outta Kentucky. <Laugh>

Eric Cross (21:31):

The work that you’re doing and, it exists beyond you and you probably know this, but as a Black science educator out here in San Diego … We don’t see people who look like all of us in this work often, and I saw that you had created something, a network group, network and chill. And that was one of the things, we had touched on community, but I thought that that was so huge because we need each other.

Ricky Mason (21:55):

I feel like that was the biggest thing for us in engineering. Like I showed up to my first internship and I’m like, I mean, my boss was cool. Everything else was cool, but I just didn’t feel like, hey, this is a community for me. And I almost changed my major because of that. But I’m glad that I didn’t, it’s huge to have more of us represented in, in these spaces.

Eric Cross (22:16):

And you know, in engineering, especially when we look at the disproportionate, you know, men versus women. Like it’s not, you know, it’s not just culture, but it’s, you know, gender, all of these different things. And if we’re gonna change it, I think a program like yours that gets exposure to all kids and then giving them choice. What advice would you give to students? Or what advice I should say, do you give to students now? When you see like your younger self in the different kind of K12 grades who are thinking about their futures or they’re thinking about STEM, what do you say to them?

Ricky Mason (22:46):

So my biggest advice, man is start now. Whatever that big thing is, that big dream is that you have, what is that now? You’re thinking about planes. You’re thinking about robots. You’re thinking about RC cars, whatever that is. Let’s start now. Let’s get your hands on an RC car. Let’s take it apart. Let’s start coding. Let’s start thinking about those problems now. But the biggest thing is, is getting kids used to solving tough problems. Typically, most students that have an affinity for, you know, STEM — and you just know that that kid’s gonna go into, STEM — they’re problem solvers. They’re typically looking and seeking those tough problems and seeking opportunities to learn. That’s where I feel like it’s parents’ jobs to provide that environment to foster, that zeal. A five-year-old kid, we started our STEM program with them at the beginning of this month.

Ricky Mason (23:39):

The first day I came in after I told him I was a rocket scientist. And now he’s like, well, I wanna be a pilot. I said, if you pay attention to this class, we’re gonna get you started on your way to being a pilot. And he knows all the parts of a rocket and he knows a rocket needs an oxidizer. And he knows the fuselage, the wings, the wing flaps. He knows all the different parts of the plane and how the forces, the drag, the lift, the weight, he knows how those are working cause we talked about those in class and he has so much more confidence and it came all to fruition when a kid said, wow, I thought it was gonna be really hard to be a robotics engineer. And I’m like, no, that’s not gonna be that hard. That is exactly what we set out to do when we started BrainSTEM, was to break down those barriers and those walls and build that confidence and say, look man, you can do this. It’s easy.

Eric Cross (24:26):

Society doesn’t help much either because one of our terms, right, if something’s really hard, or if something’s not hard, we say it’s not rocket science. That implies that rocket science is really hard and inaccessible. If kids would hear that it kind of instills in their brain, okay. It’s really hard, it’s probably too hard for me. To that point to parents, it sounds like a lot of just exposure, like giving students the opportunity to be able to be exposed to these things and letting them create wonder from it.

Ricky Mason (24:51):

Yeah, man. I often tell parents we’re gonna set kids up to go pro no matter what,

Eric Cross (24:56):

And those skill sets transfer, whether they decide to go into coding or they decide to manage a bank, you’re still gonna be dealing with people. You’re still gonna be problem-solving. You’re still gonna have to come up with creative solutions to things. It sounds like through a program like this, they learn those skills early.

Ricky Mason (25:12):

Yes. And I think that one thing that parents don’t think about … We talk about all the STEM and we want smart kids, but we need those soft skills also within STEM. So those competitions, getting them involved in those communities with STEM students is really huge in presenting their ideas because oftentimes, you know, our STEM guys, we’re in a lab working and that’s where we love and that’s where we wanna be because we haven’t, you know, been prepared to talk and present our ideas. So I think that’s a huge part of what we have to teach our STEM students. And we do that by providing that community and those opportunities for them to, you know, do that.

Eric Cross (25:47):

Thinking about where you are now, looking back on your K-12 education, were there any teachers that stood out to you or that inspired you as I even just say that, can you think of a particular teacher or one or two?

Ricky Mason (26:00):

When I think about my teachers, my teachers really taught me to solve those tough problems and those subjects that you don’t kinda like <laugh>, cause I was always a great student, but my teachers helped me to focus on those subjects that I didn’t so much, you know, enjoy. So I enjoyed math and science, but English social studies, like why do I have to be here? I had two teachers during my high school career that really supported me in that regard, and helping me to be the best student all aroundfrom like I said, STEM to English and social studies, and making me realize that I have to be a well-rounded student if I’m gonna be truly successful. As far as engineering, man, I would say one guy, my teacher, Nick Bazar up at John Hopkins. During my master’s there, I had a really cool project. I got to do data forensics on a real live murder case. <Laugh> That was really inspiring because I’m like, wow, this is real life where my coding skills are being used in a jury trial <laugh>. And so that was a really cool experience to partner with my professor to kind of do that. I mean, that was just mind blowing that I got to help with that and that, I mean, he was using his programming skills to help solve a murder case.

Eric Cross (27:22):

What’s the best way for people to connect with you and follow your journey? And if a teacher’s interested and they’re listening to this and they’re hearing, okay, this metaverse coding thing sounds awesome, I want to get involved, I wanna know more, where can people go? What steps should they take to be able to get connected to you and what you’re doing?

Ricky Mason (27:40):

Yeah. So you can check us out at brainSTEMu.com, that’s brainSTEM, the letter “u” dot com and on all social medias, we’re BrainSTEMu or BrainSTEM University. Teachers, right now, we are doing our free course for teachers. So sign up at brainstemu.com. You can sign up for your class to get into a free metaverse experience, just so you can kind of check it out and get your class into the metaverse and see how your students like the metaverse, how you like teaching in the metaverse and convert one of your 2D lessons from Google classroom into a metaverse classroom. For me, I’m Ricky Mason, 5 0 2 on all social media platforms. So you can just type that in Ricky Mason502 and get with me there.

Eric Cross (28:28):

Nice. Well Ricky, I wanna thank you for sharing your story and creating BrainSTEM. And then for, I know you’re a man of tremendous talents and skills and accomplishments, and you’re focusing all that on not only being back in your community, but also creating something for younger versions of you and opening up opportunities that they might not otherwise have, as you said, folks are like, what is STEM? And that is exactly where we need those seeds planted. So thank you for doing that.

Ricky Mason (28:55):

Oh man, this is awesome. I appreciate you, man for hosting this podcast and providing this platform and sharing the message of, you know, educators and people in the space.

Eric Cross (29:07):

Thanks so much for joining me and Ricky today. Make sure to support Science Connections by subscribing wherever you listen to podcasts. And you could hear more from Ricky in our Facebook group, Science Connections the community, where you can check out all the exclusive content. Until next time.

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What Ricky Mason says about science

“We just have to get behind [students] and back them with the same enthusiasm that we back sports…because I longed for that community when I was in school.”

– Ricky Mason

CEO, BrainSTEM

Meet the guest

Ricky Mason is the dynamic CEO and founder of BrainSTEM, an ed-tech company that developed a metaverse for education. His corporate career included lead engineer roles at the DoD, NASA, and CIA. Ricky transitioned to education as adjunct faculty at the University of Kentucky. While there, he started BrainSTEM to bring innovative technology and an inspirational curriculum to STEM education. Today, BrainSTEM serves public school districts, private schools, and nonprofits.

Follow Ricky on all social media @rickymason502

Portrait of a smiling man with a beard and short hair, wearing a white shirt, against a gray 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!

S1-01: The journey from student to SpaceX engineer: Juan Vivas

Illustration of Earth with text about a podcast episode featuring Juan Vivas, discussing the journey from student to SpaceX engineer. Includes a photo of a smiling person in a suit.

In this episode, we join Eric Cross as he talks to supply chain engineer Juan Vivas of SpaceX about his experiences growing up as a Latino in STEM. Juan shares his story of moving to the United States to study engineering and becoming successful in his career as a scientist. Juan openly discusses the experiences that made a difference in his life and the teachers that inspired him along the way. He also shares his experience as an engineer in different fields, as well as what it’s like to work in the supply chain during COVID.

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Juan Vivas (00:00):

But to me, based on my experience so far, I think the best way to put it: An engineer is a technical problem-solver.

Eric Cross (00:28):

Welcome to Science Connections. I’m your host, Eric Cross. My guest today is Juan Vivas. Juan is a supply chain engineer for SpaceX. His career in STEM has pivoted from chemical engineering to working on foods like Cinnamon Toast Crunch to his current role at SpaceX, where he’s responsible for his work on Starlink, a technology that uses low-orbit satellites to provide internet access across the world. In this episode, Juan shares his story of how he became an engineer and how a thoughtful teacher used robotics to inspire him. I hope you enjoy this great conversation with Juan Vivas. Juan, thanks for being here.

Juan Vivas (01:14):

Yeah, yeah, of course! Super-excited to be here.

Eric Cross (01:19):

Hey, and starting off, I kind of like to ask your origin story. We were talking earlier about Marvel, and your journey of one working for…what I consider the closest thing that we have to SHIELD in the Marvel stories is SpaceX. Like with my own students, we talk about SpaceX like it’s a fictional thing, and we watch the rocket launches together and we watch the recovery and it’s so cool.

Juan Vivas (01:45):

Yeah.

Eric Cross (01:46):

And so when I knew that we were gonna be able to talk to you, I was excited. Like, I felt like I was a kid.

Juan Vivas (01:51):

<Laugh>

Eric Cross (01:51):

So I’d love to hear your origin story of you ultimately landing at SpaceX. And begin wherever kind of seems most natural to you.

Juan Vivas (01:59):

Yeah, yeah, of course. You know, I wasn’t one of those kids at from a young age I said “Oh, I’m gonna be an engineer.” Right? “I want to go and build all these things.” Where I grew up, and the social circle that I had, a lot of people were like doctors or lawyers. Just figured, you know, I’ll go to med school and go down the same path that 90% of like everyone else was gonna take. But in high school, I actually got into robotics. And, kind of like I mentioned, I wanted to do med school, that is what I figured I would end up doing. And then I got into robotics in high school. And I think that was what really kind of like changed my perspective of what I wanted to do, because basically these competitions were just—it was full-on driven by students. So we designed, programmed, and manufactured, like, the entire robot itself. And so through that I ended up doing a summer engineering program at the University of Maryland, the summer before going into my senior year in high school. And there we worked on a competition with underwater robots. And so we spent the entire summer, kind of similar scenario, designing a robot, manufacturing it, programming it. And then in the end it was like a competition in the buoyancy tank with different teams. And, you know, I think one thing that was really neat about that experience is that I got to hear Dr. John C. Mathers, who is a Nobel Prize physicist, speak to us in a room with, like, only 10 high school students. And just hearing his experience of where he started and the accomplishment that he’s been able to do, down in the STEM path, was really neat. And that summer was my final decision that I’m “OK, I know I want to be an engineer.” What’s interesting is I ended up choosing chemical engineering, instead of mechanical, which a lot of people, you know, based on all the experience that led me up to be an engineer, they asked me why I didn’t choose mechanical engineering. And I think one of the reasons why I chose chemical engineering is it’s very process-based. So one thing needs to happen, and there’s different inputs to that one step, and that step has an end-to-end reaction to it, right? So certain things need to happen in step one in order for step two to occur. And however the inputs happen in step one, it’s gonna affect the rest of the process. Honestly, very different than what I thought it was really gonna be. But what’s neat about chemical engineering is that it’s one of the most versatile engineering majors that you can have. Chemical engineering, because you work with a lot of process bases. Everything has a process, right? Everything needs to start with step one, and with, you know, step 10, whatever. And it’s all about optimization and improvement along those processes. So you can really take chemical engineering principles and apply ’em to different areas of a career, which is essentially the experience that I had in college. I had three internships with Dow Chemical where I did environmental health and safety, production, and supply-chain improvement. I then did research and development with Clorox. And then I did manufacturing engineering with General Mills. So really different job roles, different aspects, but same methodology applied.

Eric Cross (05:36):

I feel like there’s so much that you just said, <laugh> and I was trying to always, “I wanna ask him about that!” And in there, what I heard was there was a real pivotable, pivot moment in your life. Was the club…or was it a club, the robotics program? Or was that a class?

Juan Vivas (05:53):

You know, it was actually…it was VEX Robotics, specifically.

Eric Cross (05:56):

It was VEX! OK. Yeah, yeah. Really popular. And they still have it; I think we actually have some downstairs. So it was a club, and not necessarily a formal environment, where you were able to build. And it’s both collaborative and competitive, right? Like, there’s both aspects.

Juan Vivas (06:11):

Yep. Yep.

Eric Cross (06:11):

And, and then you had access to one of the only two facilities in the country that have these…were they buoyancy tanks?

Juan Vivas (06:20):

Buoyancy tanks, yep.

Eric Cross (06:21):

And there’s this book, Malcolm Gladwell’s Outliers, and then another similar book called Balance. It talks about how some of these innovators, like Steve Jobs and, and Bill Gates, they had access to things that other people didn’t. So, like, Bill Gates, I think at the University of Washington, had a computer that, you know, no one else did. And Jobs had one at, like, Hewlett-Packard. So it gave you this awesome headstart, where you’re able to test things in a real-life environment that kind of transfers into real-world skills. And then a few internships, so like, internships and mentors. So you had these people in the industry or people who were front-runners that were able to pour into you and give you these opportunities. And so it’s really neat to see how a program that starts as a club, kind of a competitive thing that introduced you to it and hooked you, then led to unfolding all of these opportunities that ultimately led you up to being here. And there’s one part—in looking at your LinkedIn profile, there’s a couple of really cool things that stand out. There’s a lot of cool things, but there’s two that really stood out. So one, working at SpaceX, and we’ll talk more about that, but I wanna go to General Mills and Cinnamon Toast Crunch. Because Cinnamon Toast Crunch is amazing.

Juan Vivas (07:39):

Yeah.

Eric Cross (07:39):

And you were part of the supply chain for that. In my head, I’m thinking, OK, like, what is he like responsible for? Like, getting the cinnamon and sugar?

Juan Vivas (07:51):

<Laugh>

Eric Cross (07:51):

What was, what did your job entail, when you were running that?

Juan Vivas (07:55):

There, I didn’t even know what I was gonna be doing until my first day. It was just, whatever the business need is, that’s where you’re gonna be put. So this was actually a high-priority plan for General Mills. And the production line that made Cinnamon Toast Crunch was split up into processes. So you have, they call it the process-process side, which is like literally raw materials, like making the cereal from scratch, baking it, adding the sugar, and then sending it to be packaged. And then you have the packaging-process side. so I was then placed as a packaging process lead, for the packaging side of that production line. So I was accountable for two packaging lines that packed out Cinnamon Toast Crunch. And that is where—that was actually my first real, you know, call it “real job,” like graduated college, going straight into the industry. I was a process lead for the packaging side of Cinnamon Toast Crunch.

Eric Cross (08:54):

So you went from cereal to rockets, <laugh>, which which is an amazing trajectory to have.

Juan Vivas (09:03):

Yeah. Yeah.

Eric Cross (09:04):

And when you kind of mentioned, back in your story about medical school, and, you know, it’s kinda like, what you see people doing, and you’re “OK, this is what I think I wanna do.” And then we have a perception in our mind about what a certain job’s gonna be like. And then reality hits. I think a lot of—when I ask my students, “What do you wanna do?” They think, like, “lawyer!” and when they think “lawyer!” they’re like, “I’m good at arguing!” Right? And until they find—until they talk to some lawyers and they find out like what that career can look like.

Juan Vivas (09:28):

Yeah.

Eric Cross (09:28):

You’re not just in the courtroom showing off your arguing skills. But, like, an engineer, when I talk to my students about what does it mean to be an engineer, often it’s very linear. It’s “I build bridges,” or, you know, maybe cars, but you’re a supply chain engineer. And, and that’s something that I think, now more than ever, it’s probably an incredibly critical role, especially considering that all of these supply constraints. Can you—what is a supply chain engineer? And what does it look like in your day-to-day? How is engineering rolled into that?

Juan Vivas (10:03):

Yeah, yeah. I think that’s an excellent question. I, too, once thought that engineering was just “I’m gonna be actually making something physical,” and like being super engineer-y about it. But, to me, based on my experience so far, I think the best way to put it: An engineer is a technical problem solver. As a supply chain engineer, specifically right now in my role at SpaceX…you know, as you can guess, the supply chain in the entire world is crazy. There’s no raw materials anywhere, and nothing can ever get on time. And so what I work on is I help our suppliers develop processes to meet the design criteria that we set up for like a specific part. As my job as a supply chain engineer, it’s “Can I take this design and make it manufacturable?” Right? “Can I go to any supplier and can they actually make this to the tolerance that the design engineer set them to be?” Nine out of 10 cases, the answer is no, essentially, is the best high-level way to put it.

Eric Cross (11:10):

When you’re solving these problems, is it this iterative process of going back and forth? Or is it just this aha-moment when you finally figure things out? ‘Cause I imagine they’re coming up with a design; you’re going back and saying, “Can this be manufactured?” or “Can it be done?” They’re saying no 90% of the time. And then are you the one responsible for kind of iterating on this, or changing it and then going back to them and telling them, asking them, until you get a yes? Is that—

Juan Vivas (11:33):

Yep. Yep, yep. Exactly. So we go through a process called Design for Manufacturing, DFMing. And where I essentially take, you know, the design engineer’s proposal, and then I have conversations with the suppliers, and then, that’s where the iteration begins. Where we go back and forth, back and forth, until we kind of meet in the middle to have something that can be manufacturable. Most of the times, in my experience, suppliers will always tell you no, just because they always want something that is manufactured really easily. And so you just gotta learn through experience. Like, when are they actually telling you something that’s a fact, versus when they’re just trying to you know, get out of a tolerance, or that “all right, all right, they mentioned that would just like make their jobs a little bit more difficult.”

Eric Cross (12:17):

So I’m hearing like there’s soft skills that are woven into the technical skills that you also need to be able to have.

Juan Vivas (12:23):

Oh, yes, absolutely. Yeah. I think, you know, as an engineer—and this is something, again, that I feel like you can only learn through experience—you’re gonna see that it’s not just you working to solve this one problem. Especially for a supply chain engineer. You’re talking with marketing; you’re talking with an industrial design team; you’re talking with logistics; you’re talking with procurement, materials management—just a whole set of people that don’t necessarily have technical background. Right? So sometimes, depending on the audience that I’m targeting, I’m always very, very peculiar on what is my target audience, right? How can I—how deep in my technical knowledge do I need to go? Because if I just, you know, talk straight Engineer, they either don’t care or they’re gonna be really confused about what I’m saying. So there is a stronghold of soft skills that definitely go into engineering, which I think are really important to communicate, you know, to, let’s say, students that are really interested in engineering. So you can be extremely smart and intelligent and really good at problem-solving, but if you don’t have those soft skills that you apply in the real world—’cause in the real world, you’re never only gonna be working with engineers, no matter like where you’re at—so having those soft skills to be able to manage with different backgrounds and different sort of people and different ways of thinking, it’s, I feel, really critical, for, for an engineer in the real world.

Eric Cross (13:50):

No, I think that’s a great point. It reminds me of teaching! And so many other professions where your ultimate goal is to really pour into this person in front of you and help develop them and create a sense of inquiry and wonder and personal growth and inspiration. But you’re also working within constraints and people and relationships. You know, you have your other teachers, you have parents, you have administrators, you have a district, you have communities, stakeholders. You have all of these different dynamics that you have to kind of navigate in order to ultimately help this child thrive. Versus just, like, being in the classroom: “OK, I just got <laugh>, the hundred or 200 students, just you and me. That’s it.” But that’s not the real world. And there’s this report that came out, I think Google ran it, Project Oxygen and Project Aristotle, and they asked the question, “What are the most effective traits of a good team and a manager?” And the top seven skills were all soft skills. So it is like exactly what you’re saying, where, yeah, it’s great that you have this technical aptitude, but if you’re not able to work with other people, problem-solve together, work with people of different backgrounds and perspectives, then you’re gonna run into some roadblocks. And that kind of dovetails, like, looking at things like if you looked at education from the perspective of an engineer. So you’re all about optimizing, right? Optimizing, working with what you got. When you look at education, are there any things that you would optimize to help improve the experience of students? Like, looking back, that you would fine-tune, that you think could provide better outcomes in the classroom?

Juan Vivas (15:28):

You know, I feel…I don’t know. Obviously I’m not a teacher. And I’m sure teachers just have so much stuff going on. But I think just like, finding…giving a chance to those students that you see a lot of potential in and really taking the time to mold them. You know, I did have a teacher who was able to mold me and give me that kind of one-on-one personal experience, right? I think honestly to me it just comes down to mentorship, and motivating students on what, you know, they’re passionate for. Like, putting them in front of engineers, right? Like finding engineers to come volunteer and explain to them. I genuinely believe it just takes one spark to really get a student on a trajectory where they can make an impact in the future. So to me, it comes down to, really, exposure. How much are you really exposing your students to…you know what, something I’ve learned, when I joined SpaceX, is that Elon doesn’t believe—well, you know, there there’s a lot of things that Elon believes and not believes in; there’s a whole different type of conversation!—but he doesn’t think that you can just take a curriculum, let’s say, and just apply it massively to everyone and expect like everyone to be it. That’s just naturally not how it works, right? Students learn at different paces; they have different sort of interests. This is actually why he created his own school for his kids in LA, called Ad Astra. You know, if you take that mentality, what that school is doing is that they’re working at the students’ pace and at the student’s interests, right? And I actually have a coworker who has his kids in that school. And I mean, these are one of the most brilliant kids I’ve ever known. Like, they are taking differential equations in the eighth grade. And I didn’t know what differential equations was until I was in college already and they told me, “This is a class you have to take.” <Laugh>. But it’s finding that crossway where, where is the curiosity of the student? What are they really interested in? and exposing them to that.

Eric Cross (17:51):

Yeah. And what I’m hearing of that is, in teacher-speak, a lot of personalized learning. Like you were talking about…is it Ad Astra?

Juan Vivas (17:59):

Ad Astra? Yep.

Eric Cross (18:01):

Ad Astra. You know, every student learns in their own way and they develop knowledge in their own way. And being able to personalize learning according to the students’ abilities and needs, and then accelerate or slow down, really produces some amazing effects. I know this is something that we as teachers try to do with the classroom. Scaling it is the challenge. But it’s great because even with people who are in charge of policy or people who have decision-making ability, hearing people from the top down saying, “Hey, look, this is what worked for me. This is how I was able to become successful. I had a teacher that was able to be a mentor to me because they knew me, they had a relationship with me, they were able to tap into my passions and use those passions to drive me to do or put me in programs that I might not have known about because they, they knew who I was.” And it’s not one-size-fits-all for everyone. So having—maybe it’s curriculum or learning experiences that are kind of modular, where students are able to maybe try on different things and get that exposure, I’m a big, big believer, like you are, in mentorship. That was a huge, huge thing in my life. Having mentors. It’s the reason why I became a science teacher. In seventh grade, I had a mentor who had us doing college-level science, you know, at UC San Diego. And it completely changed the trajectory of my life, in a direction that I wouldn’t have had without him. So I think that’s great. And it’s something that we as teachers would appreciate hearing. Going back to what you said…earlier you said your wife is a supply chain engineer as well. And so that means that there’s two people who are process-minded in the household. And this is kind of a lighter question, but I gotta wonder, do you have the most optimized flow for grocery shopping? <Laugh> Because…

Juan Vivas (19:49):

Yeah, I think we don’t spend more than like 20 minutes at a grocery store. Mind you, we only shop at Trader Joe’s and we have a very specific list before going in. And if you ever shop at Trader Joe’s, you just know where everything is ’cause it’s always there and it’s small, right? But yeah, like we’re, we’re in and out in like 15, 20 minutes. It’s great.

Eric Cross (20:11):

I love it. I love it. I feel like I’m that way by design. I go in with a purpose and this is exactly what I want. I know where the cookie butter is, <laugh>, I know where my coffee is, and then, OK, I’m in and out. Apple Pay or whatever I’m using. And then we’re good to go. Do you think…so as someone listening to this or some people even just becoming aware of supply chain engineering, what advice would you give someone that’s interested in pursuing this career path? If you maybe reverse-engineered your process, knowing what you know now, you were gonna give advice, you were that mentor, what are just some kind of tips or ideas or thoughts or trajectories that you’d think that they should aim for? I’m assuming like robotics….

Juan Vivas (20:56):

Yeah. You know, I think I would say definitely finding some sort of program that exposes you to a lot of things that you won’t be exposed to, like on a day-to-day basis, or something that you just can’t be exposed to naturally at school. And mentorship, honestly. I was born in Colombia and my parents were both—they’re still both professionals, but they were both professionals in Colombia. And when we moved to this country, this was like December of 1999. My parents started from scratch, and so they didn’t really grow up in the States, right? So when it was my time to go to college and do all of this stuff, it was just like me on my own figuring this stuff out. And, you know, they definitely made some mistakes when it came to college applications and whatnot. But once I was in college, I knew that the best way for my success was gonna be through mentorship. And that’s when I joined the, Society of Hispanic Professional Engineers, which is a nationwide organization. And each college, well, most college campuses, have their own chapter. In joining that, I was exposed to resume workshops, mock interviews—basically how do you even talk to a recruiter? Which is so critical, right? And personally that that organization was really what molded my actual professional career.

Eric Cross (22:19):

There’s this theme that I’m hearing, kind of weaving through this. And in addition to—as we’re talking about STEM and technical skills, in addition to that, there’s this thread that I’m receiving of…being able to form relationships with other people, for our students, is an important skill to teach and should be taught explicitly. Which isn’t…it’s not really a curriculum, right? Like, you don’t get tested on your ability to….conflict resolution or how to write an email or how to develop a relationship. And then the other part in I think what you just said is the aspect of community. Through this organization, you learned kind of some of these hidden rules, maybe I would call it.

Juan Vivas (23:04):

Yep.

Eric Cross (23:04):

It’s not that you didn’t have the…you had the aptitude. You had the drive. But there were these kind of hidden rules, and from moving to the US, you needed a community to be able to show you, so that you can kind of go through the proper steps.

Juan Vivas (23:16):

Exactly.

Eric Cross (23:17):

And so that created a lot of value for you.

Juan Vivas (23:19):

Yep.

Eric Cross (23:20):

Well, the last question that I have is, is just kind of a wondering. You have this awesome story, and the story continues to unfold. I gotta say, <laugh> I’m gonna be following your LinkedIn profile, because I think you just have kind of the coolest trajectory of going from, you know, General Mills, working in chemical engineering, and then ultimately it’s SpaceX. And every time I see the rocket taking off and landing, I’m gonna be thinking, thinking about you. So cool!

Juan Vivas (23:47):

Yeah. Yeah.

Eric Cross (23:49):

And personally, I have a hope that one day, one of my students will be at a company, you know, like SpaceX or Tesla or wherever, and one day I get to interview them and talk to them and see what they say. But the last question I want to ask is, is there, is there a teacher who inspired you, or a memorable experience that you have that made an impact on you?

Juan Vivas (24:16):

Yeah, yeah, of course. It was kind of you know, middle school going into high school. The way my school worked, everything was divided from pre-kindergarten, whatever, first to sixth grade, and then seventh grade to 12th grade. So I had a high school science teacher, Ms. Brown, Ms. Velda Brown, who, came from a small little island town on the east coast of Canada. Somehow landed, in the high school that I went to, to teach science. Going back to the beginning of the story where I mentioned that I figured whatever, I’ll go to med school. I played soccer, basketball, and, you know, I said, “I’ll figure it out once I graduate.” It might have been like life science in the eighth grade or something like that. But then she went on to teach me chemistry and physics as well. And when I was in the 10th grade, she approached me and she asked me if I wanted to join the robotics club. And I remember saying robotics? I don’t know. You know, naturally, in school, it’s different sorts of crowds: people that play sports and people that are like in like STEM clubs or whatever. And I was, “Ah, I don’t know; I don’t know how I feel about robotics; not really my thing….” But somehow she convinced me to join robotics. It’s me, coming into this group of kids that already knew each other, and they were all working on robotics. And I’m, “Yeah, I mean, I guess I’m just here to try this thing out.” It was a thing where we met every single Saturday at like seven in the morning. And there were times where I literally had to choose, “Do I go to like a soccer game or do I go to you help my team with robotics?” And I completely loved it. Like, I fell in love with the aspect of building something from scratch, and just making it operative. And she ended up just being a huge mentor for me in high school, actually. With her, with the help of her, I ended up opening the robotics club at my school. And before I left, we opened it up to middle schoolers. And then, you know, later, years later down the road when I was in college, I found out that it was now a whole-school thing. So there was an elementary robotics club at the school, the middle school one, and then the high school one were still a thing like years after I left. And that was like just so amazing to hear. But yeah, it was Ms. Velda Brown, my high school science teacher, that really took her time to mold me and get me into robotics, and really mentor me. And honestly, I’m sure you as teachers, you guys probably hear about it a lot, but you can have a lot of power in shaping a kid by just telling—believing in them, right? She believed in me so much that I would go on to be a successful engineer. And I’m. “OK, yeah, yeah, you’re just saying it.” But she spoke life into her students up to this day. I still speak about it with my wife, and when I’m in conversations about this, that if it wasn’t for my high school science teacher, I would not—well, no, I would probably not be an engineer right now.

Eric Cross (27:38):

Wow. Shout out to Ms. Velda Brown <laugh>. Would you say she spoke…I think one thing that just resonated with me is when you said she “spoke life” into you.

Juan Vivas (27:46):

Yeah.

Eric Cross (27:46):

That was really powerful. And I think we as teachers have that power and we don’t realize it. Because, you know, we get so we’re so familiar and living day-to-day, but we do have the power of life, speaking life, into our young people. And, yeah, that was—

Juan Vivas (28:03):

Absolutely, yeah. You know, I think obviously people grew up with different backgrounds, different communities, life situations, right? So imagine having like a student that is similar in that environment and then they just hear someone at their school, like, “Hey, you’re really good at this. why don’t you consider doing this?” And that’s when I feel teachers have that power. Where like they don’t necessarily know the background, but they can make that opportunity, or make that decision in the moment, to really shape a student’s life.

Eric Cross (28:37):

And we need to hear that. And I think, I hope that other teachers listening to this will be reminded that many times we don’t get to reap the harvest. We don’t get to see the <laugh> Juan Vivases at SpaceX. They just kind of go, and they disappear, and we hope for the best, and we get a new group. But every once in a while they come back, and we get to see what our watering or seed-planting was able to produce. And so, just know that you sharing your story for educators, and for definitely Ms. Brown, makes a huge difference and is a huge encouragement. So.

Juan Vivas (29:11):

You know, I think we touched on earlier, you know, how do I end up going from cereal to rockets, right? And I think it ties along with what I mentioned earlier of just taking—as an engineer, you’re really a critical problem solver, right? And you think that methodology. And if you find a way, you can apply it to different sectors. When I was doing a lot of like the packaging process stuff at General Mills, being a lead on a high-volume manufacturing line, what I do for SpaceX specifically, right now, I’m actually on the Starlink project. So if you’re up to date with Starlink, it’s, it’s essentially high reliable, fast internet that we’re providing to areas where usually people don’t have access to internet, right? Or maybe they do, but it’s extremely expensive. Because to an internet provider company, the benefit is not there, if they extend an entire internet fiber line out to their place because it’s only directed to them, right? So that’s, that’s essentially what Starlink is trying to solve. And this is the first time that SpaceX is facing a consumer packaging scenario. Before it was just rockets. And now they’re selling a product to consumers. They had never done that before, especially in a high-volume manufacturing setting. And so I am the supplier development engineer for all the consumer-facing packaging for the Starlink product itself. And that’s essentially how all those thoughts connected, where I had this experience coming from General Mills and packaging high-volume manufacturing. And then when Starlink started, they’re all, “Right, well, who knows anything about packaging?” Right? “We know so much about rockets, we need someone with this technical background.” And that’s essentially how I bridge over to SpaceX.

Eric Cross (31:11):

And so while you’re working at SpaceX, you’re working on Starlink, which I know you mentioned that—you said that it’s providing internet globally, which in and of itself, we—especially those of us that live in major cities—we kind of take for granted. Internet is like a utility. But we don’t maybe realize that in many parts of the world, internet is not reliable or even accessible.

Juan Vivas (31:33):

Right. Right.

Eric Cross (31:34):

I see every once in a while, I think, the StarlinK satellites sometimes are visible?

Juan Vivas (31:38):

Yep.

Eric Cross (31:39):

Low orbit?

Juan Vivas (31:39):

Yeah. Yeah. You can go—they’ll kind of be like a little train of bright stars that move along together. Yep.

Eric Cross (31:46):

And that must—that must feel…I mean, we all have jobs and we’re all doing different things, but you’re working on a project and you’re engineering something that actually can provide a lot of opportunities or close a gap in some parts of the world where they don’t have access to internet. They’re gonna be able to have access and be connected all over. I dunno, the word would be “existential.” Existential value. Like, what you’re doing is actually providing a service for people. Humanity. Like, addressing a critical need in many, many places around the world.

Juan Vivas (32:26):

Yeah. We’ve had stories where we have sent Starlink kids to a small school in a village in rural Chile, right in South America. And for the first time ever, they’ve had internet. We have supported disaster relief in Europe. I think this past summer, Europe had really bad floods. We sent Starlink kits out there. You know, the vision of working at an Elon Musk company and SpaceX and Starlink—this is all stuff that is being done for the first time in history. We have never, ever done anything like this before until now. And to be able to provide those that don’t have the access to—to your point, it’s kind of wild, right? Like we, we just take it for granted. “Oh yeah, I just have internet. Let me log on.” There are people on Earth right now that have never been on the internet. Or don’t even know what the internet is. And that’s essentially the, the gap that Startlink is starting to close.

Eric Cross (33:26):

Yeah. We think about that while my students are doing TikTok dances. <Laugh> And there are people who, you know, never, never been connected. And, it kind of makes me more like, just inside, if I can ask: What’s it like working at SpaceX? I showed my students what it’s like working at some of the Silicon Valley companies. ‘Cause just to show them there’s slides and food and, you know, they kind developed this ecosystem inside so that it’s really kind of homey to kind of keep you there, you know. When you’re working and there’s bikes and things like that. And that’s a very Silicon Valley type of thing. But, you know, in listening to you talk about SpaceX and Elon, you know, you’re with a really visionary kind of company, and when I hear you talk about it, there’s I can hear this passion, this, “we’re doing something.” Is that culture, like, pervasive everywhere? Are you around folks that kind of are on that same wavelength? Because I definitely get it from you as you talk about what you do.

Juan Vivas (34:28):

Yeah, yeah. Definitely. I think, as an engineer, you know, going to SpaceX and working at SpaceX, it’s essentially—personally, I believe right now in the US it’s like the mecca of engineering, right? Like, it is where engineering in this most, you know, shape and manner, it’s being applied. I think what’s really interesting is that the way that Elon looks at it is just iterate, and iterate fast, right? Like, fail and fail fast. I think as an engineer, you always want to have things perfect, right? And so you spend a lot of time in making a decision or investigating something or whatever. And working at SpaceX is the complete opposite. It’s just you know, “Assume, state your assumptions—like, what are you assuming right now? What are the risk at it? And just make a decision and then see what the result is.” You know, so it’s an environment where you learn, really quick.

Eric Cross (35:28):

You said something that I think was powerful and I hope, I think <laugh>, this is definitely, I’m gonna get a clip of this <laugh> of you saying it. Because it speaks directly to, I think, what a lot of students struggle with in the classroom, is there’s this competition or feeling that you always need to be right. And you need to be right the first try, on the first time. And a lot of times it’s because students will compare themselves to each other, or there’s a tremendous amount of pressure to be successful. But you said, “Fail and fail fast, iterate, state your assumptions.” And it sounds like this critical part of being an engineer or in what you do, like there’s no room for ego or attaching your identity or your sense of value or worth or ability to whether you’re able to solve a problem in the first try.

Juan Vivas (36:13):

Yep.

Eric Cross (36:14):

Like, you have to be OK with the cycle, is kind of what I’m hearing from you. Is that, is that right?

Juan Vivas (36:19):

Yep. Exactly. It only took six months to develop the product from scratch and launch it to the public, which is insane. Nowhere in the world will any company ever iterate that fast and come up with a brand-new project. But it’s because of that mentality—like you’re saying, it’s not about like just trying to make it perfect and have all this information. And I think Elon has learned this personally, you know, through Tesla and the beginning of SpaceX. It’s, “I can wait to have all this information, and most likely I’m still gonna be wrong after I make the decision.” So it’s, “Might as well take the risk, do the decision, and then just see where you learn from it, right?” And then you keep applying that, applying that. So it’s like you iterate, iterate, iterate, iterate until you get what you want.

Eric Cross (37:00):

I think this is even, like, great advice. I’m taking this personally because I get paralysis by analysis <laugh>.

Juan Vivas (37:06):

Yep.

Eric Cross (37:07):

You know, I’ll research something to death but then not actually execute. Like, I need to make a decision and do it and then course-correct along the way. Somebody once told me it’s a lot easier to turn a moving car than it is a car that’s sitting still. And so as you’re kind of flowing, you’re just making these adjustments along the way until you end up on the path that you want to be. So I think that there’s so many gems in the things that you’re saying right now. What I’m thinking through the lens of my seventh graders that want to work in any STEM field—I mean, really, any field in general, but especially engineering, especially the STEM fields—knowing that, pick it, make a decision, move forward, and then course-correct along the way. That’s what science looks like in the real world.

Juan Vivas (37:49):

Yep. Exactly. Yep. And definitely most important—and I feel like this is sometimes where, not necessarily education in general, but it’s just, we want students to, “OK, you need to get it right the perfect time, right?” But it’s like, every student is gonna think differently. A student is gonna take a different assumption based on their background and experiences. And I mean, you know, we can go a lot deeper in that, but the way a student is shaped, they’re gonna take certain assumptions. So that’s where it gets interesting. OK, why are you assuming that? Where’s your thought process in this?

Eric Cross (38:25):

And we all come from different backgrounds and mindsets and filters and biases that cause us to look at something a certain way. And it’s not just like calling it out, just going, “Hey look, this is what it is.” Like autopsy without blame, this is what I’m working with. Let’s discuss it openly. Right? And if we started that process earlier, you know, younger, in classrooms, we can de-stigmatize the right answer being the best answer more, as opposed to focusing on process as opposed to outcome. And then you kinda get used to wanting to go through the process. I look at it like video games and I talk to my students. I say, “You know, you don’t pick up a video game that’s brand-new and then play it and then you die once and you’re ‘Ah, I’m never gonna play this game again.’ You know, it just doesn’t work that way. You’re going through this iterative process, and no matter what you play, you’re trying things differently. You’re data collecting. And then you’re making new decisions based on the data that you collected.” And for some of my kids, they’ll just raise their hands, say, “No, I just get mad and throw the controller across the room.” <Laugh> But I go, “Yeah, and then you’ll try it again.”

Juan Vivas (39:33):

The best way to know how not to do something is to fail. And so you already…I mean, what is that famous quote? I think that’s why Thomas Edison’s, “Oh, I, did not fail 99 times. Right? I only found 99 times…” I mean, that is that is true. And I feel like at work in a SpaceX, that is something that probably the core of it comes from there. It’s you know, any failure, quote unquote, that you may take it as a failure, it’s really not. You’re just “OK, we, we tried that. It didn’t work. Like what are we gonna do next?” So it’s just like taking that learning and like moving off with it quickly.

Eric Cross (40:09):

I heard a couple of teachers say, “Things fail: First Attempt In Learning: F A I L.” And then another teacher, one of my mentor teachers, she said, “There’s no such thing as failure, just data, in science.”

Juan Vivas (40:20):

Mm-hmm. <affirmative>. Exactly. Yep.

Eric Cross (40:23):

And so I’ve always taken that to heart. And I share that with my own students, just, “A ‘no,’ a lot of times, will tell you more information than a ‘yes.’” ‘Cause if something works in the first try, you may not exactly know why it worked. It just did.

Juan Vivas (40:34):

Yeah. Yep.

Eric Cross (40:37):

So yeah. Well, I went on your time, brother. Dude. <laugh>. The time flew. It was…

Juan Vivas (40:46):

Yeah.

Eric Cross (40:47):

There were so many things I was trying to write out as you were talking, that I just felt like, “This guy is sharing so many gems!” But yeah, I want to thank you for taking time outta your day and for sharing that information for your passion for what you do. And, I don’t know, I think that students and teachers that listen to this will get an insight from a perspective that really matters. ‘Cause ultimately we’re, we’re trying to really prepare our students for real life. Maybe I’ll email you privately if I order a Tesla, if you can move me higher up the Cybertruck line. <laugh>

Juan Vivas (41:22):

Yeah. No promises.

Eric Cross (41:24):

<laugh>

Juan Vivas (41:25):

Yeah. No, I appreciate you guys having me, having me here, and be able to speak on my experience. And hopefully it sparks a couple, one, even if it’s just one teacher that will spark another student, that is already success there. So.

Eric Cross (41:42):

Well I know, I know what you said resonates with me and it fills my cup. And I’m excited. So I’m already thinking of some ideas of things that I can do, just because of this conversation, and I know other people will as well. And, again, this is Juan Vivas, who’s a supply development engineer at SpaceX. He’s worked at some amazing places. And someone who believes deeply in not only the power of the technical skills, but the heart skills, and how community makes a huge impact in his life. It made a huge impact in him ultimately becoming a scientist, and now working on a project at SpaceX, Starlink, that is going to provide access to the world, to the web. And that’ll ultimately help us solve more problems and innovate and create some solutions that will benefit everybody. Thank you, sir. Appreciate you.

Juan Vivas (42:30):

Yeah, thank you. Thank you so much, Eric. Appreciate it.

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What Juan Vivas says about engineering

“Based on my experience so far, I think the best way to put it… an engineer is a technical problem solver.”

– Juan Vivas

Supplier development engineer, SpaceX

Meet the guest

Juan Vivas is a chemical engineer currently working as a Supplier Development Engineer at SpaceX. Juan got his start at the University of Florida, where he led the Society of Hispanic Engineers (SHPE) as vice president. He’s worked for companies like Clorox, Dow Chemical, and General Mills. Juan lives in Los Angeles, California with his wife and two dogs.

Man in a suit and tie smiling at the camera with a blurred green background.

About Science Connections: The podcast

Welcome to Science Connections: The Podcast! 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 to Amplify Desmos Math!

Your Amplify Desmos Math Experience Kit includes teacher and student materials for one sub-unit of instruction to try in your classroom. Click the orange button below to access the digital lessons for your grade.

A laptop displays a math problem on its screen with illustrations of fish and a clock, alongside two math activity books titled "Amplify Desmos Math" for grades 3 and 5.

About the program

Our structured approach to problem-based learning systematically builds on students’ curiosity to develop lasting grade-level understanding.

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.

Educational materials featuring various graphs and applications, including rocket motion and quadratic functions, displayed on Desmos and paper.
Interactive digital math lesson interface with colorful graphics showing parabola exploration and plotting tools on screen, enhanced by the New York math curriculum.

Structured approach to problem-based learning

  • Differentiation and personalized practice
  • Easy-to-follow instructional guidance
  • Robust assessments and reports
  • Spanish student materials
A classroom dashboard displays student names and their progress in activities, with checkmarks indicating completed tasks and circles showing ongoing or incomplete tasks.

Math that motivates

  • Powerful teacher-facilitation supports and tools
  • Students talking and building from each other’s ideas 
  • Every lesson has fully compatible print and digital materials for a collaborative classroom
Illustration of an Amplify Desmos math learning tool on a student screen showing abacus representations for the sums 8+7, 7+4+5, 3+8+4

Student thinking is made evident

  • Curiosity-driven lessons that motivate students with interesting problems they are eager to solve
  • Explicit guidance for teachers on what to look for and how to respond
  • Technology that provides Responsive Feedback and is designed to reveal mathematical thinking

Experience Kit digital lessons

Use the grade-specific links below to explore our interactive digital lessons. Learn more about assigning a lesson to your class using a single-session code.

In addition to the sample lessons below, you can view the Experience Kit brochure, which includes helpful print and digital navigation tips.

Grades K–5 brochure

Grades 6–A1 brochure

A digital math activity screen showing block arrangements and a worksheet page titled "Shelley the Snail" with related graphics.
A girl in a red and pink uniform kicks a soccer ball while two players in yellow attempt to block, showcasing teamwork akin to problem-solving strategies in Amplify Desmos Math. Another player runs in the background.
Kindergarten, Unit 6: Numbers 0–20

Sub-Unit 1: Counting Teen Numbers

A crowd gathers outdoors near a path lined with blueberry displays; musicians play on a stage, and people interact as a woman and child stand in the foreground holding drinks.
Grade 1, Unit 5: Adding Within 100

Sub-Unit 1: Adding Without Making a Ten

A family stands by a mailbox labeled "Three Hundred Two." In New York, a child holds a letter as an adult pats their head. Another adult, with a desmos math guide in hand, looks on proudly.
Grade 2, Unit 5: Numbers to 1,000

Sub-Unit 1: The Value of Three Digits

In an outdoor setting, a girl with glasses attentively washes a chicken in soapy water, surrounded by hills, trees, and buildings. Soap bubbles and leaves float in the air as she ponders New York math challenges amidst this tranquil scene.
Grade 3, Unit 6: Measuring Length, Time, Liquid Volume, and Weight

Sub-Unit 1: Measurement Data on Line Plots

In "Pat's Lei Shop," amidst the floral artistry, one can almost sense the precision akin to solving a New York math problem, with each lei meticulously assembled on a table with scissors, thread, and flowers.
Grade 4, Unit 6: Multiplying and Dividing Multi-Digit Numbers

Sub-Unit 1: Multi-Digit Multiplication

At a bustling puzzle stand, a person interviews a young individual holding a puzzle box. Various puzzles, including "Autumn Day," catch the eye. A sign proudly boasts, "Jonathan & Omar's Pleasing Puzzles!"—where New York math enthusiasts find joy in every challenge.
Grade 5, Unit 5: Place Value Patterns and Decimal Operations

Sub-Unit 1: Numbers to Thousandths

Three raccoons on a seesaw balance with a 21-pound weight in a city park setting under a clear sky.
Grade 6, Unit 6: Expressions and Equations

Sub-Unit 1: Solving Equations

A sheep stands on grass near a number line, with an orange point at zero; a festive sheep with a hat and party blower appears in a thought bubble.
Grade 7, Unit 6: Expressions, Equations, and Inequalities

Sub-Unit 3: Inequalities

Four colorful robots stand in front of a whiteboard with a graph in a classroom setting.
Grade 8, Unit 6: Associations in Data

Sub-Unit 2: Analyzing Numerical Data

A laptop screen displays a math activity with a question about a rocket's height. Icons of a rocket and mathematical functions are on the side.
Algebra 1, Unit 7: Quadratic Functions

Sub-Unit 1: Introduction to Quadratic Functions

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  • Live chat: Click the orange icon while logged in to get immediate help.
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A laptop screen displays a curriculum dashboard with a list of core units and colorful thumbnails for a sixth-grade ELA program.

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Grade 6

Chapter 2: Fractions and Decimals

Big IdeasAmplify Classroom
Lesson 2: Dividing FractionsUnit 4
Lesson 3: Flour Planner
Lesson 4: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 2: Decimal Diagrams and Algorithms
Lesson 5: Multiplying DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 6: Dividing Whole NumbersUnit 5
Lesson 13: Movie Time
Lesson 7: Dividing DecimalsUnit 5
Lesson 13: Movie Time

Chapter 3: Ratios and Rates

Lesson 1: RatiosUnit 2
Lesson 1: Pizza Maker
Lesson 4: Fruit Lab
Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 3: Using Ratio TablesUnit 2
Lesson 10: Disaster Preparation
Lesson 4: Graphing Ratio RelationshipsUnit 2
Lesson 10: Disaster Preparation
Lesson 5: Rates and Unit RatesUnit 3
Lesson 6: Soft Serve
Lesson 6: Converting MeasuresUnit 3
Lesson 1: Many Measurements

Chapter 4: Percents

Lesson 1: Percent and FractionsUnit 3
Lesson 9: Lucky Duckies
Lesson 2: Percent and DecimalsUnit 5
Lesson 2: Decimal Diagrams and Algorithms

Chapter 5: Algebraic Expressions and Properties

Lesson 2: Writing ExpressionsUnit 6
Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 3: Properties of Addition and MultiplicationUnit 6
Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 4: The Distributive PropertyUnit 6
Lesson 8: Products and SumsTake Away (coming soon!)

Chapter 6: Equations

Lesson 1: Writing Equations in One VariableUnit 6
Lesson 1: Weight for It

Chapter 7: Area, Surface Area, and Volume

Lesson 1: Areas of ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2
Lesson 5: Surface Area of prismsUnit 1
Lesson 10: Renata’s Stickers

Chapter 8: Integers, Number Lines, and the Coordinate Plane

Lesson 1: IntegersUnit 7
Lesson 1: Can You Dig It?
Lesson 2: Comparing and Ordering IntegersUnit 7
Lesson 4: Order in the Class
Lesson 3: Rational NumbersUnit 7
Lesson 4: Order in the Class
Lesson 7: Writing and Graphing InequalitiesUnit 7
Lesson 7: Tunnel Travels

Chapter 9: Statistical Measures

Lesson 1: Introduction to StatisticsUnit 8
Lesson 3: Minimum Wage
Lesson 2: MeanUnit 8
Lesson 11: Toy Cars
Lesson 3: Measures of CenterUnit 8
Lesson 11: Toy Cars
Lesson 4: Measures of VariationUnit 8
Lesson 11: Toy Cars

Chapter 10: Data Displays

Lesson 2: HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 4: Choosing Appropriate MeasuresUnit 8
Lesson 3: Minimum Wage
Lesson 11: Toy Cars

Grade 7

Chapter 1: Adding and Subtracting Rational Numbers

Big IdeasAmplify Classroom
Lesson 1: Rational NumbersUnit 5
Lesson 1: Floats and Anchors
Lesson 2: Adding Integers
Lesson 4: Subtracting Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Adding Rational Numbers
Lesson 5: Subtracting Rational Numbers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles

Chapter 2: Multiplying and Dividing Rational Numbers

Lesson 1: Multiplying IntegersUnit 5
Lesson 10: Integer Puzzles

Chapter 3: Expressions

Lesson 1: Algebraic ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 2: Adding and Subtracting Linear ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 3: The Distributive PropertyUnit 6
Lesson 10: Collect the Squares

Chapter 4: Equations and Inequalities

Lesson 1: Solving Equations Using Addition or Subtraction
Lesson 2: Solving Equations Using Multiplication or Division
Unit 6
Lesson 16: Shira the Sheep
Lesson 4: Writing and Graphing InequalitiesUnit 6
Lesson 16: Shira the Sheep
Lesson 5: Solving Inequalities Using Addition or Subtraction
Lesson 6: Solving Inequalities Using Multiplication or Division
Unit 6
Lesson 16: Shira the Sheep
Lesson 7: Solving Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep

Chapter 5: Ratios and Proportions

Lesson 1: Ratio and Ratio TablesUnit 2
Lesson 1: Paint
Lesson 3: Identifying Proportional RelationshipsUnit 2
Lesson 6: Two and Two
Lesson 3: Measuring Around
Lesson 5: Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops

Chapter 6: Percents

Lesson 1: Fraction, Decimals, and PercentsUnit 4
Lesson 1: Mosaics
 
Lesson 4: Percents of Increase and DecreaseUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 5: Discounts and MarkupsUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)

Chapter 7: Probability

Chapter 8: Statistics

Lesson 1: Samples and PopulationsUnit 8
Lesson 10: Crab Island
Lesson 2: Using Random Samples to Describe populationsUnit 8 
Lesson 10: Crab Island
Lesson 3: Comparing Populations
Lesson 4: Using Random Samples to Compare Populations
Unit 8
Lesson 10: Crab Island

Chapter 9: Geometric Shapes and Angles

Lesson 1: Circle and CircumferenceUnit 3
Lesson 3: Measuring Around
Lesson 2: Areas of CirclesUnit 3
Lesson 9: Area Challenges
Lesson 5: Finding Unknown Angle MeasuresUnit 7
Lesson 4: Missing Measures

Grade 8

Chapter 1: Equations

Big ideasAmplify Classroom
Lesson 2: Solving Multi-Step EquationsUnit 4
Lesson 5: Equation Roundtable
Lesson 3: Solving Equations with Variables on Both SidesUnit 4
Lesson 5: Equation Roundtable

Chapter 2: Transformations

Chapter 3: Angles and Triangles

Lesson 2: Angles and TrianglesUnit 1
Lesson 12: Puzzling It Out
Lesson 4: Using Similar TrianglesUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf

Chapter 4: Graphing and Writing Linear Equations

Lesson 1: Graphing Linear EquationsUnit 3 Lesson 4: Flags
Lesson 2: Slope of a LineUnit 3 Lesson 4: Flags
Lesson 3: Graphing Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Graphing Linear Equations in Slope-Intercept FormUnit 3
Lesson 4: Flags

Chapter 5: Systems of Linear Equations

Lesson 1: Solving Systems of Linear Equations by GraphingUnit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Chapter 6: Data Analysis and Displays

Lesson 1: Scatter PlotsUnit 6
Lesson 3: Robots
Lesson 2: Lines of FitUnit 6
Lesson 4: Dapper Cats
Lesson 3: Two-Way TablesUnit 6
Lesson 11: Finding Associations

Chapter 7: Functions

Lesson 1: Relations and FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 2: Representations of FunctionsUnit 5
Lesson 5: The Tortoise and the Hare

Chapter 8: Exponents and Scientific Notation

Lesson 1: ExponentsUnit 7
Lesson 3: Power Pairs
Lesson 2: Products of Powers PropertyUnit 7
Lesson 3: Power Pairs
Lesson 6: Scientific Notation
Lesson 7: Operations in Scientific Notation
Unit 7
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Chapter 9: Real Numbers and the Pythagorean Theorem

Lesson 1: Finding Square RootsUnit 8
Lesson 4: Root Down
Lesson 3: Finding Cube RootsUnit 8
Lesson 4: Root Down

Chapter 10: Volume and Similar Solids

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

Algebra 1

Chapter 1: Solving Linear Equations

Lesson 1.1: Solving Simple EquationsWorking Backwards
Lesson 1.3: Solving Equations with Variables on Both SidesSolving Strategies
Same Position
Lesson 1.5: Rewriting Equations and FormulasSubway Seats
Various Variables

Chapter 2: Solving Linear Inequalities

Lesson 2.4: Solving Multi-Step InequalitiesPizza Delivery

Chapter 3: Graphing Linear Functions

Lesson 3.2: Linear FunctionsShelley the Snail
Lesson 3.5: Graphing Linear Equations in Slope Intercept FormFive Representations

Chapter 4: Writing Linear Functions

Lesson 4.4: Scatter Plots and Lines of FitCorrelation Coefficient
How Hot Is It?
City Slopes
Lesson 4.5: Analyzing Lines of FitPenguin Populations
Behind the Headlines
City Data
Residual Fruit
Lesson 4.6: Arithmetic SequencesMore Visual Patterns
Sequence Carnival
Lesson 4.7: Piecewise FunctionsPumpkin Prices

Chapter 5: Solving Systems of Linear Equations

Lesson 5.2: Solving Systems of Linear Equations by SubstitutionShape It Up
Lesson 5.4: Solving Special Systems of Linear EquationsLizard Lines
Lesson 5.7: Systems of Linear InequalitiesQuilts
Seeking Solutions

Chapter 6: Exponential Functions and Sequences

Lesson 6.3: Exponential FunctionsCarlos’s Fish
Lesson 6.6: Geometric SequencesMore Visual Patterns
Sequence Carnival

Chapter 8: Graphing Quadratic Functions

Lesson 8.1: Solving Systems of Linear Equations by SubstitutionCraft-a-Graph
Quadratic Visual Patterns
Lesson 8.4: Solving Special Systems of Linear EquationsOn the Fence
Stomp Rockets
Plenty of Parabolas
Robot Launch
Lesson 8.5: Systems of Linear InequalitiesParabola Zapper
Two for One
Shooting Stars
Lesson 8.6: Systems of Linear InequalitiesPlane, Train, and Automobile
Detroit’s Population, Part 1
Detroit’s Population, Part 2
Revisiting Visual Patterns, Part 1
Sorting Relationships

Chapter 9: Solving Quadratic Equations

Lesson 9.4: Solving Quadratic Equations by Completing the SquareSquare Tactic
Lesson 9.5: Solving Quadratic Equations Using the Quadratic FormulaStomp Rockets in Space

Chapter 10: Radical Functions and Equations

Lesson 10.4: Inverse of a FunctionChip the Robot

Chapter 11: Data Analysis and Displays

Lesson 11.1: Measures of Center and VariationFinding 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.

S4 – 03: LIVE from NCTM with Bethany and Dan

Hosts Bethany and Dan, both smiling, in a promotional image for the "Math Teacher Lounge" podcast, Season 4 Episode 3, titled "Live from NCTM!" with an

In this episode, co-hosts Bethany Lockhart Johnson and Dan Meyer are LIVE with more than one hundred Math Teacher Lounge listeners at the recent National Council of Teachers of Mathematics conference. Listen in as they answer the pressing question: Who is the best teacher in film or television?

Explore more from Math Teacher Lounge by visiting our main page

Download Transcript

Presenter (00:00):
Ladies and gentlemen, from Math Teacher Lounge, we have Bethany Lockhart Johnson and Dan Meyer! <cheering>

Bethany Lockhart Johnson (00:08):
Doesn’t go well that the door was locked. Like, I could not get in! <Laugh>

Dan Meyer (00:12):
Yeah. Gotcha. All right. We’re gonna sit a little bit. Let’s see how that works—

Bethany Lockhart Johnson (00:16):
Hi!

Dan Meyer (00:16):
Yeah. I think we’ll stand up? Or whaddaya think, sit…?

Bethany Lockhart Johnson (00:19):
Should we stand? Hi.

Dan Meyer (00:22):
Hello. Great to see you folks. Yeah, I can hear you.

Bethany Lockhart Johnson (00:25):
Can you hear me? That’s—I know YOU can me. Can you hear me OK? OK! We’re here. Hello. Thank you for like, lining up and coming out and being here. Thank you!

Dan Meyer (00:35):
Means so much to me that you could be here for me, on my show, with Bethany Lockhart Johnson, my co-host. <Audience laughs>

Bethany Lockhart Johnson (00:40):
The hour has just started.

Dan Meyer (00:42):
We’re just getting going. Yeah. If you folks have heard the podcast, you don’t know how much gets cut out. And it’s like, mostly me just having, you know, anxious nerves and saying something silly and then we cut it out and we can’t do that here today. So it should be real fun for all of us, I think. Yeah.

Bethany Lockhart Johnson (00:55):
It’s not true. It’s mostly dancing. “Bethany, can you stop talking? Bethany?” Cause it’s mostly—

Dan Meyer (00:59):
“It’s my turn. It’s my turn! Bethany <laugh>! I haven’t been heard for a while.”

Bethany Lockhart Johnson (01:02):
Dan. We’re at an in-person conference.

Dan Meyer (01:05):
In-person BIG conference, I would say. I’d say a big conference. Yeah.

Bethany Lockhart Johnson (01:08):
And have you been to the Amplify booth?

Dan Meyer (01:11):
I have! Have these people? There’s a claw machine with free socks.

Bethany Lockhart Johnson (01:16):
Yeah. You’re saving me socks, right? That’s what you’re saying. <Laugh> I mean, it’s exciting. How has your conference been so far?

Dan Meyer (01:21):
So far it’s been a blast. I feel fed. I feel like the community’s been awesome. How are you feeling about it?

Bethany Lockhart Johnson (01:29):
OK. Let’s talk about me for just a second.

Dan Meyer (01:31):
Yeah. Talk about you.

Bethany Lockhart Johnson (01:31):
Last night, Dan, was the very first night that I was away from my toddler. <Audience: Aw!>

Dan Meyer (01:38):
Big commitment being here. Thank you.

Bethany Lockhart Johnson (01:40):
I got super-emotional walking back to the hotel after dinner, and then I got in my room, <laugh> I put on pajamas, and I turned on music. I slept so good!

Dan Meyer (01:50):
Yeah. <Audience laughs> Give it up for no kids! <Audience laughs> Hey!

Bethany Lockhart Johnson (01:55):
I love him so much. But I slept all the way through the night. Oh, by the way, I ordered room service in the morning.

Dan Meyer (02:01):
On Amplify.

Bethany Lockhart Johnson (02:01):
That bill’s coming. But it’s been a great conference and I’m so delighted to be here in person and to get to share energy…and hopefully that’s all we’re sharing today. Y’all got your tests, right? Yep. Sharing energy and community today. Because we know it’s been hard. Hardness. Hard.

Dan Meyer (02:25):
Yeah.

Bethany Lockhart Johnson (02:26):
Years. Hard. And to be in person, I know conferences reinvigorate me and I go back into my educational spaces feeling revitalized with new connections and new ideas to try. So yeah, I’ve been excited to be here. And thank you all for being here.

Dan Meyer (02:40):
Yep. I don’t care if I get six different strains of Covid here. I’m just thrilled to be here. <Audience laughs> I don’t know if you’ve had the same feeling, though, Bethany, you folks…I’m a little bit confused to some degree about what we’re doing. I just wanna be really transparent. This is my sarcastic voice but I’m being sincere here. It kind of feels like we’re in a little bit of a time capsule. Like we all got in a time capsule in 2019 and, you know, you open it back up and it’s like, OK, so we’re still, you know, talking about X, Y, or Z protocol for establishing classroom routines or whatever. And I’m like, OK! Like, I loved that in 2019! But I do admit, I’m still trying to figure out a little bit like, what are we doing now? What’s our relationship to the world out there? Things are very different. I have had some great sessions that I’ve enjoyed. I’m also like, still waiting for a session to draw a little blood. Do you know what I mean? Like there’s been sessions…no? OK. You’ve been in these sessions where it’s like, “Oh, ow.” Like, and you look down and there’s and there’s blood there. It’s like, I thought I knew what we were up to. Like, I thought I knew what teaching was and how we relate to the world. I dunno, like in any Danny Martin session in 2019, “Take a Knee” was one, where I was like, “Oh, OK. Like, I’m not as hot as I think I am here. Like, I’m part of a system.” That kind of thing for me draws blood. And I haven’t been in one of those yet. Been some great sessions. I’m a little hopeful that today we draw a little blood and think about what we’re doing here, is my hope here, if that’s OK. So Bethany’s gonna moderate that impulse and she’ll be the fun one and I’ll be the blood-drawing one.

Bethany Lockhart Johnson (04:05):
No, I don’t…that metaphor doesn’t speak to me personally. But what I will say is, I get what you’re saying about really wanting to be in that room where there’s like this synergy happening. No promises about that today other than—

Dan Meyer (04:18):
I promise. <Audience laughs> Go on.

Bethany Lockhart Johnson (04:20):
Other than I get what you’re saying. I’ll find my own metaphor that does not involve bloodshed, but.

Dan Meyer (04:25):
Sure. There’s a lot of ways we we could go about this today. And the one that I’m excited about is, you know, we could like, you know, analyze some results from students, and talk about what went into that. Look at classroom video. Lots of possibilities. But here’s what we’re up to today. Hope you’re into it. Which is, we are here in the heart of the entertainment industry. You know, Tinseltown! Um, the Big Apple! Uh…

Bethany Lockhart Johnson (04:47):
No!

Dan Meyer (04:47):
Come on. What do you got here? Um…

Bethany Lockhart Johnson (04:51):
It was daytime at night. Like the lights were so bright.

Dan Meyer (04:54):
The City of Lights.

Bethany Lockhart Johnson (04:55):
There was a movie premiere outside my hotel room, which I was not invited to, unfortunately. But so what are we doing today?

Dan Meyer (05:01):
So here’s what we’re doing. We are gonna settle, once and for all, a question you have not asked yourself yet, perhaps, but will want to know the answer to in a moment. Which is: Who is the best teacher in all of film or television? OK? We’re gonna do that. It’ll be fun. But I hope that in debating this a little bit with a special guest we’ll bring up in a moment, that we will start to uncover some truths about what makes good teaching. How that’s different from teaching as we see it in movies and tv. Why middle-class America wants teachers to look a certain way in movies and tv. What all that means. And it’ll be awesome. I think. I’m hopeful it’ll be awesome. So what we did here is we’ve invited eight people. Eight folks you people may have known. You’ve been in their sessions today, in this conference, perhaps. And asked them: Who’s your fave? Like, we might have our favorites, but we wanted to democratize it a bit. So asked some cool people who you folks like, who are very smart and thoughtful about teaching: Who’s your favorite teacher?

Bethany Lockhart Johnson (05:58):
A few of whom are in this room. Thank you for your submission.

Dan Meyer (06:00):
Thank so much. Yeah. We’ll see what happens here. <laugh>

Bethany Lockhart Johnson (06:03):
As they shrink down.

Dan Meyer (06:03):
Yeah. Might draw some blood that I don’t mean to right now. We’ll see. OK.

Bethany Lockhart Johnson (06:06):
That metaphor, what IS that??

Dan Meyer (06:07):
Yeah. Yeah. I love it. I’m still going with it. <laugh> And you folks will be a huge part of this. THE part of this, really. So what will happen is I’ll share with you our first nominees. A few of us will make a case for our favorites, or least favorites, as the case may be sometimes. And then by applause, by acclamation, you folks will decide who wins and advances to the next round. Start with eight, move to four. You folks know math.You know where this goes. OK.

Bethany Lockhart Johnson (06:34):
No, keep going. Keep going.

Dan Meyer (06:36):
Two, then one.

Bethany Lockhart Johnson (06:36):
Yeah. Got it.

Dan Meyer (06:37):
Then a half of it. No?

Bethany Lockhart Johnson (06:38):
He had to school me on the making of brackets. But we got it. Yeah.

Dan Meyer (06:41):
How brackets work.

Bethany Lockhart Johnson (06:41):
But we got it. March Madness, what?

Dan Meyer (06:44):
Yeah, in order to do this right, we had to bring up—all the folks that you’ll see are also former Math Teacher Lounge guests, or like, just fan favorites. And we’re also bringing up a former Math Teacher Lounge guest to help us decide this and debate this in a respectful manner.

Bethany Lockhart Johnson (06:59):
New dad.

Dan Meyer (07:00):
New dad.

Bethany Lockhart Johnson (07:01):
You see where my brain’s still at? I miss him. <Laughs>

Dan Meyer (07:03):
Friend from San Diego. Really cool teacher.

Bethany Lockhart Johnson (07:06):
Incredible teacher.

Dan Meyer (07:06):
Works at Desmos and Amplify. And I just want you to welcome up your friend and mine. Chris Nho!

Bethany Lockhart Johnson (07:11):
Chris Nho!

Dan Meyer (07:13):
Come up, Chris. Let’s go, buddy. We didn’t talk about it, but did you want to do the cornball stuff too?

Chris Nho (07:22):
Wow. Would I love to do—

Bethany Lockhart Johnson (07:23):
And then the door could be locked! And then you have to wait and like, just—

Chris Nho (07:27):
Yeah, I’ll skip that part.

Bethany Lockhart Johnson (07:28):
Hi. Welcome. You’re here. We’re here in person.

Chris Nho (07:30):
Very glad to be here. Thank you all for having me.

Dan Meyer (07:33):
Tell me who you are.

Chris Nho (07:34):
My name is Chris Nho. I live in San Diego. I’m a new dad. A three month old, just had. Yeah, she’s actually here at the conference with us in the hotel room. And I promise you she is not by herself. She is with…come on. I was like, “Hey, just gimme one hour. I’ll be right back. I have to do very important work.” But yeah, I think I got invited here because I have opinions and I’m willing to draw…some…blood.

Dan Meyer (08:02):
There we go! Two outta three! We’re good on the metaphor now.

Bethany Lockhart Johnson (08:06):
We’re so glad you’re here. If you haven’t listened to the episode where Chris and Molly and some other public math folks share their ideas and ideas of how to take math out into the world, please listen, because we had a blast.

Dan Meyer (08:19):
Inspiring work. Really inspiring work. Very cool. Cool. OK. Right on. OK.

Bethany Lockhart Johnson (08:23):
Let’s do this!

Dan Meyer (08:24):
Let’s get started here. Yeah! <Audience cheers> Yeah. And we might ask you who your favorite teacher is, who’s missing from our list of eight? We might have forgotten some people. Anyway. All right. So here’s our first two. Our first two are nominated by way of, let’s see, um, Mandy Jansen is a professor at the University of Delaware. Got some awesome talks here this week, a Shadow Con talk last night. She’ll be nominating one. And also, um, Lani Horn is a professor at Vanderbilt, also extremely cool, prolific author and speaker, just all-around great human and friend of teachers everywhere. And she’ll nominate another in this bracket, which is the Northeastern Comedy bracket, Northeastern comedy bracket.

Bethany Lockhart Johnson (09:06):
It just worked out that way.

Dan Meyer (09:07):
Yeah. Here it is. Here is Tina Fey in Mean Girls.

Tina Fey in Mean Girls (09:12):
“OK. Everybody close your eyes. All right. I want you to raise your hand if you have ever had a girl say something bad about you behind your back. Open your eyes. Now close your eyes again. And this time I want you to raise your hand if you have ever said anything about a friend behind her back. Open up. It’s been some girl-on-girl crime here.”

Lani Horn (09:52):
I am nominating Sharon Norbury from Mean Girls as the best movie math teacher. She is an awesome teacher who is always there for her kids. She always sees the best in them. She shows that she can forgive even some pretty bad behavior, if she sees that kids are trying. She’s a strong feminist who makes sure that smart girls don’t dumb themselves down just to impress boys.

Tina Fey in Mean Girls (10:22):
“Katie, I know that having a boyfriend may seem like the most important thing in the world right now, but you don’t have to dumb yourself down to get guys to like you.”

Lani Horn (10:30):
She’s also super hard-working. She works three jobs. She’s always there for the kids. She plays piano in the talent show and takes them to Mathlete competitions. And she’s also socially aware. And when things go really badly among the girls, she does some pretty creative things to try to get them to be kinder to each other.

Dan Meyer (10:54):
OK. That’s one.

Bethany Lockhart Johnson (10:55):
Helen Case.

Dan Meyer (10:57):
All right. Settle down. Settle down. Settle down. All right.

Bethany Lockhart Johnson (10:59):
Piano too!

Dan Meyer (11:00):
Bethany’s already trying to bias people here. All right. Chill out. Hold on. So next one is Mandy Jansen with Jack Black from School of Rock. Uh-oh. Uh-oh.

Jack Black in School of Rock (11:09):
“What was your name?”

Kid in School of Rock (11:10):
“Katie.”

Jack Black in School of Rock (11:11):
“Katie. What was that thing you were playing today? The big thing.”

Kid in School of Rock (11:14):
“Cello.”

Jack Black in School of Rock (11:15):
“OK. This is a bass guitar and it’s the exact same thing, but instead of playing like this, you tip it on the side. Chellooooo! You’ve got a bass! <Laugh> Try it on.”

Mandy Jansen (11:25):
And I’m nominating for best teacher in a film Jack Black as Dewey Finn playing Mr. Ned Schneebly in the film School of Rock. So why this portrayal? First of all, playing a longterm sub. Those are so hard to find right now. <Audience laughs> Really hard. And then he teaches using class projects. That’s brilliant. Integrated learning. And then love this. He gives students roles and tasks that are differentiated and align to the specific strengths that each student has.

Kid 2 in School of Rock (12:05):
“I can also play clarinet, you know!”

Jack Black in School of Rock (12:06):
“I’ll find something for you when we get back from lunch. I’ll assign the rest of you killer positions.”

Mandy Jansen (12:13):
And the film culminates in a performance of a collaborative song that they all wrote and performed together. And the students experience that collaboration and teamwork and creating something beautiful is much more important than winning first place. And finally, one of the songs that the character sings in the film is “Math is a Wonderful Thing.” Can’t beat that.

Dan Meyer (12:40):
All right. That’s tough. That’s tough. So here’s the deal. What we have right now is just a quick minute—so Bethany, you ranked, we all ranked our own faves here outta the list of eight. And Bethany put Jack Black in School of Rock a bit higher than Tina Fey in Mean Girls.

Bethany Lockhart Johnson (12:54):
Missed the piano part though.

Dan Meyer (12:55):
And Chris, vice versa here. So Bethany, would you start us off and just make a quick case here for Jack Black versus Tina Fey?

Bethany Lockhart Johnson (13:01):
OK. So here’s what I’m thinking. There’s been rumor that maybe they’re putting less than credentialed people into classrooms to fill teaching gaps. I mean, just rumor. And so here’s this guy who is a rocker. He is not a substitute. He has no teaching training. And yet he goes in there and it turns out that he has the ability to see students’ potential and to recognize their unique abilities. And like Mandy said, he really tapped into, like, he saw them and said, “No, more is possible for you than what you think is possible.” And there’s like real sub anxiety. When you walk in, you can either be like, happy there’s a sub, but I was usually really nervous. Right? And he goes in and he makes that classroom into a home.

Dan Meyer (13:53):
Wow.

Chris Nho (13:54):
Wow.

Dan Meyer (13:56):
Chris, speak on it. Tina Fey needs you. Chris.

Chris Nho (13:59):
Tina Fey. Here we go. I’m gonna argue here that—when was that movie made?

Dan Meyer (14:03):
T is for terrific. I is for Interesting.

Chris Nho (14:06):
Decades ago. And I’m gonna argue that Tina Fey was very progressive for her time. OK, let’s talk about social emotional learning. Hello. <Audience laughs> Love that. Right? Stand up if, I mean, she’s getting people to talk about their emotions. And there’s a curriculum. But let’s just pause, because that’s not what’s really happening in the classroom right now. So social emotional learning, I think she’s, she’s got that a lot. And then number two, you know, if you remember the plot of Mean Girls a little bit, she gets her name written in that Burn Book. Like she sees what they say about her. Restorative justice. Let’s go. <Audience laughs>.

Dan Meyer (14:38):
Whom amongst us. Yes.

Chris Nho (14:40):
You write Mr. Nho in the Burn Book?? Well, your grade book is gonna look like a Burn Book! OK? <Audience laughs> Tina Fey, Tina Fey, she was like, “No, you know, know what? I’m actually gonna spend more time with you. You’re gonna become a mathlete.” And Lindsay Lohan discovers—she drops the most iconic line in all of math education. “The limit does not exist.” Thank you, Tina Fey, for that. For that gift.

Dan Meyer (15:04):
Bless. Bless you. Tina Fey. Wow.

Bethany Lockhart Johnson (15:05):
Oh, man. Wow.

Dan Meyer (15:09):
Let’s see what the people say here. I do wanna just add one quick thing about—it’s interesting to me how often in these movies—just kind of go in a little bit, zoom out just a minute—how often it’s a teacher who has no training as a teacher. <Bethany laughs> I am kind of curious why it is. Like, those are the movies that get hot, that get made. Again, these are all kind of a mirror of the taste of the moviegoing public. You know what I’m saying? Like, these, these are not movies—I wanna believe they are made for me and for us as teachers. But they are not. There’s not enough of us to justify, you know, Jack Black’s, you know, M&M budget or whatever he’s got going on in his trailer or whatever. That needs to be for everybody in middle-class America. So what is it about middle-class America that wants to see teaching as something that anybody can do? Just like, you know, just, just run up there in your van and make it happen.

Bethany Lockhart Johnson (15:54):
Magic magically manifests.

Dan Meyer (15:56):
Yeah. Manifest. Yeah. That’s just interesting to me. I just toss that out there as some red meat. Let’s see what the people say here. All right, OK, so you’re ready. Let’s get the bracket going here. The question is Tina Fey versus Jack Black. You had a moment here. Just whisper to someone real fast who you’re going for here real quick. What are you thinking here? <Crowd murmuring> All right. Crowd’s buzzing. Crowd’s buzzing. Would you folks…? All right. Bring it back. Go ahead and make some noise for Tina Fey. <Crowd cheers> OK. OK. Make some noise for Jack Black! <Crowd cheers> Judges say Tina Fey. Tina Fey moves on. All right. All right.

Chris Nho (16:44):
Stunned. I’m stunned. I’m speechless.

Bethany Lockhart Johnson (16:46):
Tina Fey moves on. Wow.

Dan Meyer (16:48):
This has exceeded my expectations in terms of having some fun, but also getting deep, getting deep and real about teaching. I’m into this right here. Yeah. What’s up?

Bethany Lockhart Johnson (16:54):
That’s the goal. That’s the goal. OK. You wanted blood? Oooh, this next matchup might just be where that blood comes forth! OK. Stretch. Warm up. Dan Meyer, who’s up next?

Dan Meyer (17:11):
We’ve got the animated/animatronic round here in the Southeast. And repping the two contestants here, who do we have? We have Allison Hintz, professor, author outta Washington, as one of the two nominators. And the other nominator is one of my heroes, though we’ll find out very wrong about this nomination, Jenna Laib, who’s in the crowd, and I’m trying not to make eye contact here. <Laugh> And here are the two nominations. A couple minutes each. And then we’ll chat about it. And one of us will probably die. But we’ll see how it goes.

Allison Hintz (17:50):
A long, long time ago, in a galaxy far, far away, MTL, we began learning from the Jedi Master of Teaching. With the Socratic and experiential approach. With unparalleled mindfulness, compassion, and humility. The best teacher in TV and film, Yoda is. <Audience laughs> Yoda lives the values we share as teachers and learners. He humbly comes alongside us as we construct new knowledge.

Yoda (18:29):
“You must unlearn what you have learned.”

Allison Hintz (18:32):
Yoda allows us to struggle and sees mistakes as critical to learning.

Yoda (18:39):
“The greatest teacher, failure is.”

Allison Hintz (18:43):
Yoda values curiosity and reminds us of the beauty and joy of teachers learning from children.

Yoda (18:52):
“Truly wonderful, the mind of a child is.”

Allison Hintz (18:59):
MTL! Join the Resistance! Let the force flow through you in declaring, the best teacher in TV and film, Yoda is.

Dan Meyer (19:18):
Give it up for Allison Hintz! All right! <Audience applauds>

Bethany Lockhart Johnson (19:20):
Alison! And to have that on hand too, which Is kind of perfect.

Bethany Lockhart Johnson (19:26):
Just to be clear, the helmet is not a part of a Zoom background.

Dan Meyer (19:29):
You may evaluate the quality of the nomination based on the costumes of the nominator. That is acceptable. That’s acceptable.

Bethany Lockhart Johnson (19:35):
That is a REAL HELMET.

Dan Meyer (19:35):
All right. The next nominator here, this one is from Jenna Laib, math coach, all-around stellar human. Here we go. This is Ms. Frizzle.

Ms. Frizzle (19:42):
“Single file, class. Our rotten field trip has only just begun.”

Jenna Laib (19:47):
And I think that the best teacher from TV or movies is Ms .Valerie Frizzle from The Magic School Bus. First and foremost, Ms. Frizzle believes in her students. She encourages them to take an active role in their learning, and also to advocate for change in their local community. For example, there’s an episode where there is a logger who’s gonna cut down a rotting log that would benefit the local ecosystem. And the students figure out a way to convince him to leave the log so that all of the animals and the plant life can benefit. She orchestrates really challenging situations for these students, and she allows them the space to ask questions and engage in problem-solving and puzzle their way out of these really, really difficult scenarios. Ms. Frizzle has unmatched pedagogy. She’s bold, she’s innovative, and she’s a major proponent of experiential learning. So these students are heading straight into a storm to learn about weather systems. <Audience laughs> These students are heading into the human body to learn about digestion and disease. They literally get baked into a cake to learn about some chemistry and reactions.

Children in The Magic School Bus (20:54):
“What’s happening?” <Audience laughs> “Why is it suddenly getting so hot?” “Maybe it’s because the floor is on fire!” <Audience laughs>

Jenna Laib (21:02):
This pedagogy is all led by her outstanding catchphrase, which is:

Ms. Frizzle (21:06):
“Take chances; make mistakes; get messy!”

Jenna Laib (21:14):
From her pedagogy to the classroom community that she creates, Ms. Frizzle is an inspiration, and that is why I think that she is the best teacher from TV or film. <Audience applauds>

Dan Meyer (21:25):
Right on! Give it up for Jenna. Give it up for Jenna. All right. I’m gonna take first pass at this. Chris knows my argument already, so I’m gonna take this here. I see some of you are feeling how I’m feeling on this one. OK, so I don’t have tons to say in favor of Yoda. I think it was all true what Allison said. I think the costume was banging. It was awesome. So there’s all that, but I have more to say against Ms. Frizzle than for Yoda.

Bethany Lockhart Johnson (21:48):
No, no, no. Wait a second!

Bethany Lockhart Johnson (21:49):
Let’s let it happen. Bethany, I’ve come prepared.

Dan Meyer (21:54):
I may have made a misstep here, I realize.

Bethany Lockhart Johnson (21:56):
I’ve come prepared.

Dan Meyer (21:56):
So I think Jenna is all correct. I think those clips spoke for themselves. I think that what they add up to, to me, is not “great teacher,” but more “someone who should be locked up.” <Audience laughs> Or at the very minimum, “someone who should be kept away from children.” <Audience laughs> Do not let that woman around children. I mean, check it out. Look, I don’t wanna throw down credentials. I’ve been to grad school, though. I know how this works. When your brain is stressed, you get these—all the cortisol happens. Your working memory shrinks up. You cannot learn when you’re stressed. And those kids, like whatever lesson Ms. Frizzle is teaching by sending them into an oven, I repeat, an oven <audience laughs>, like, they’re not gonna learn anything ’cause their brains are freaking out with stress and fear. OK?

Bethany Lockhart Johnson (22:41):
“What’s happening??”

Dan Meyer (22:43):
“What’s happening? Am I on fire? Well…I’m learning lots, though! Sure is magical!” <Audience laughs> It’s like, “No. Get that woman out of a classroom.” That’s my opening and closing argument. Right? There’s all it is.

Chris Nho (23:01):
All right. All right. All right.

Bethany Lockhart Johnson (23:02):
Chris knows.

Chris Nho (23:03):
I’ve got, I’ve got lots to say. First off, I think Dan was in charge of the editing of those video clips. So let’s let that be—you know, let the record stand. <Audience laughs>

Dan Meyer (23:11):
Where’s the lie though? Where’s the lie?

Chris Nho (23:14):
And, you know, second, I think, um—this is the guy up here saying, “I wanna see blood.” You know? And then he has a teacher who literally takes the students into a blood cell and, and you get a little scared! You get a little worried for the students, you know? So I just don’t get it, Dan. This or that. OK? I think Ms. Frizzle—so I actually went to a project-based learning school. I taught at a project-based learning school. And the best thing about it is like, your learning, it doesn’t just stay in this box of math lesson or writing lesson, history lesson. And I think with Ms. Frizzle, like you can’t help but learn things because you are getting baked in a cake. <Audience laughs> Yeah, it is a little scary. And I imagine there’s cortisol and things happening, but guess what? Probably the next episode, they go into their own brains and explore what’s happening. That kind of thing. You know?

Dan Meyer (24:07):
The kids that survived, just be clear. <Audience laughs>

Chris Nho (24:10):
Yeah. OK. Would I want Nora, my three-month-old, to be babysat by Ms. Frizzle? Maybe not. <Audience laughs> But what I have to say about Yoda is Yoda maybe wins the best tutor award. Give it up for Yoda’s Best Tutor Award.

Bethany Lockhart Johnson (24:24):
Oh, yeah…

Chris Nho (24:25):
That ratio’s looking really nice. I could teach the heck outta Luke Skywalker. OK? But 20 little Luke Skywalkers running around. I’m not sure. OK?

Dan Meyer (24:34):
Luke did survive the training, though. <Audience laughs> So that’s awfully nice to say about it. All right, Great words from Chris here. I’m still not convinced. We’ll see how you’re convinced here. Would you whisper to someone where you’re leaning here? Frizzle or Yoda? <Audience buzzing>

Chris Nho (24:47):
I tried. I tried.

Dan Meyer (24:53):
All right. That’s enough of that. Let’s hear it folks. Give it up for Yoda. <Audience cheers> Give it up. Give it up. You. Give. It. Up.

Chris Nho (25:05):
Hey, next. Next.

Dan Meyer (25:06):
All right. All right, all right. <Mutters> Give it up for Ms. Frizzle. <Audience cheers louder> I dunno, it’s pretty close. Call a tie. Maybe Yoda? Yoda by nose? <Audience laughs> All right. All right. Let’s…let me see who’s it. Let’s get the people advancing here. I’ll keep on moving here.

Chris Nho (25:26):
As you’re doing that. Um, Dan ranked Ms. Frizzle last in his personal ranking. And I ranked Ms. Frizzle very high, so we knew this one would be spicy,

Bethany Lockhart Johnson (25:36):
<laugh> Spicy it was. Are you having a good time so far? <Audience cheers> So while we love seeing these images and we love seeing these video clips, at the core, what are these things about how teachers are portrayed? And how accurate is that to our real lives? I mean, besides the cake part, right? That my chemistry class did often feel like I was on fire. I was so stressed in it. Um, we’re ready?

Dan Meyer (26:05):
Yep. Great. We’re ready, we’re up here. So the next two nominees are coming to you folks from Tracy Zager, who is the editor of my book, forthcoming in 2027 at the earliest and 2032 at the latest. And also your very own Zak Champagne from Florida, here in the room. Hey, Zak. Zak, let’s see who the nominations are. I’m gonna skip past that, didn’t work out so well for me. Here it is. This is Marshall Kane from the TV show Community.

Michael K. Williams in Community (26:32):
“You two complete your case to the class and let them decide your grades.”

Joel McHale in Community (26:37):
“Professor, thank you.”

Michael K. Williams in Community (26:40):
“It’s not a favor, Mr. Winger. Man’s gotta have a code.”

Joel McHale in Community (26:44):
“Awesome.”

Zak Champagne (26:46):
This is a pitch for an underdog. This teacher didn’t stand on desks or encourage his students to follow their musical passions. In fact, this teacher was seen only in a few episodes of my favorite TV show of all time, Community, Community has set at Greendale Community College in Colorado. And in season three, we get to meet Dr. Marshall Kane, a biology professor whose story is an inspiration to anyone who just takes the time to look and listen. Dr. Marshall Kane slowly earned his PhD while in prison, serving a sentence of 25 to life. In his classroom, he inspires students to love biology, question why LEGO has become so complicated, and randomly pairs his students for group projects to ensure no one feels left out. His greatest performance comes when a group of students believe their yam project was intentionally sabotaged. Dr. Kane took this as an opportunity for some trans-disciplinary real-world learning. So yes, at community college, he felt that a middle-school mock trial was the best way to determine who killed the yam. So let’s all pick the underdog and vote for Dr. Marshall Kane. After all, man’s gotta have a code. <Audience goes “oh!” and applauds>

Dan Meyer (27:53):
Thank you, Zak.

Bethany Lockhart Johnson (27:54):
I have a code.

Dan Meyer (27:56):
Next up is Tracy Zager, nominating an unusual nomination, not a single person, but an ensemble performance. A bunch of people from a movie called Searching for Bobby Fisher. Here we go.

Rapid-fire movie dialogue (28:11):
“What’s that?” “Schleimann attack.” “Schleimann attack? Where’d you learn that from, a book?” “No, my teacher taught me.” “Aw, your teacher. Well, forget it. Play like you used to, from the gut. Get your pawns rolling on the queen’s side.”

Tracy Zager (28:26):
Hey, Math Teacher Lounge. This is Tracy Zager. I’m excited to share my nominee for the best movie teacher. But I have to admit that when I first got the email, I thought, oh, who am I gonna nominate? Because most movies about teachers are highly problematic. They usually have like a saviorism thing, usually white saviors. And I just felt like I couldn’t suggest any of those. So rather than nominate a movie about a single teacher, I wanted to nominate a movie that taught me something about teaching. And that movie is a deep cut. It’s Searching for Bobby Fischer. It’s a movie about a chess prodigy. And what I love about it is that all of the different adults in the movie are in teacher roles in some way. And the student, Josh, the chess player, is a fully realized character, not an empty pail, who pulls from the strengths of each one of those adults while also dealing with their flaws and humanity. And there’s just beautiful synergy in the way he gets the best out of everybody, but also has to overcome some of the barriers that they put in front of him. So I feel like it’s a much more authentic and humbling, but also inspiring, movie about the power of teaching. So if you haven’t ever seen it, check it out. And I can’t wait to see who the other nominees are. Thanks so much.

Dan Meyer (29:53):
Right on. Thank you, Tracy. Wherever you are. <Applause> We’ll move a little quicker here. I’m curious, Bethany, you put Marshall Kane pretty high. I put Bobby Fischer pretty high. What do you have to say about Marshall Kane for us here?

Bethany Lockhart Johnson (30:04):
Well, I just wanna say two things. One is that, like Zak said, he has this code of conduct that he brings in. And he stays true to it no matter what happens. If you saw him in in Community, you know that he held himself up to such high esteem, but not just himself, his students as well. And he took accountability when he felt he had done wrong, even though, well, that’s controversy. But first—oh, the other thing, rest in peace, Michael K. Williams. Oh my gosh. The actor who plays Marshall K. And the thing that I wanna say most of all about it is that he brings his whole self to the classroom. He was in prison for decades. He brings his whole self and says, “This is who I was. This is who I am today. And this is how we can work together as a community.”

Dan Meyer (30:58):
That’s big. I love your comments about code of conduct too. It makes me wish that Ms. Frizzle had a code of conduct also.

Bethany Lockhart Johnson (31:05):
I knew that was coming back!

Chris Nho (31:06):
Two slides ago, Dan. That was two slides ago.

Dan Meyer (31:08):
Can’t let it go. So yeah, I love what you said there. I have no strong beef here either way. Bobby Fischer’s a movie I have loved dearly and can’t be objective about it. I love that the kid in that movie, more than any other movie here, the kid teaches the adults so much through his innocence and how he challenges them and how they’re treating him. Dig all that so much. Will not, will not begrudge anyone any vote either way here. I do begrudge many of you your vote in previous rounds. <Audience laughs> So let’s just, let’s hear. We’re not gonna ask you folks at all to chitchat. We’re gonna move on this one. So would you folks make some noise here for Marshall Kane in Community? OK. OK. And would you make some noise here for Bobby Fischer, the kid in Bobby Fischer, the ensemble? <Audience cheers, applauds>

Bethany Lockhart Johnson (31:56):
Marshall Kane.

Dan Meyer (31:57):
Marshall Kane takes it. All right. Good job, Marshall Kane! All right. Zak’s feeling good. Moving on to the final four here, Zak, right on. OK. Our last—the Northwest Division here is also the large urban district division here. We have a couple different teachers in sets of large urban schools. They’re nominated, they’re advanced by a couple people here. One is past president of NCTM, Robert Berry. And another is Fawn Nguyen, Southern California phenom. Great teacher and friend of lots of us. Um, let’s see who they nominated here. First from Robert Berry, let’s see, who is it here? Janine Teagues from Abbott Elementary.

Abbott Elementary dialogue (32:37):
“Hey, you know what? I’m probably probably gonna be Kenny’s second-grade teacher. Why don’t you just let him get a head start with me today?” “That’d be great.” “Yeah? OK. Hey, Kenny, would you like to be in my group today?” “Not really.” “That’s the spirit.”

Robert Berry (32:54):
My nomination is gonna be Quinta Brunson, the Emmy Award-winning Quinta Brunson from Abbott Elementary. Janine Teagues is the character. She exemplifies care not only from an affect way, but she also exemplifies care in the things that she does for her students. While the scenes in the show are entertaining, they do represent the challenges that teachers experience when they’re trying to meet the needs of her students. So she goes, goes all out for her students and finding resources. She accesses other people to get resources for her students. But the care shows up in the way that she is mindful of their needs. And so, for me, when I think about teachers and teaching, sometimes we can talk about pedagogy, but sometimes we also can talk about those kind of intangibles that makes a teacher a great teacher. It is apparent from her students that she cares about them, she supports them, and she goes all out 100% for her students. Janine Teagues, Quinta Brunson is, I think, is my choice of the best teacher on television because of the realism and the representation that she brings to this character of what teaching is about. <Applause>

Dan Meyer (34:28):
Right on. Right on. OK. OK. Next up, we’ve got, Fawn Nguyen is nominating Erin Gruwell from Freedom Writers. Here we go.

Hilary Swank in Freedom Writers movie (34:39):
“Look, you can either sit in your seats reading those workbooks or you can play a game. Either way, you’re in here till the bell rings. OK? This is called the Line Game. I’m gonna ask you a question. If that question applies to you, you step onto the line and then step back away for the next question. Easy, right? The first question. How many of you have the new Snoop Dog album? <kids move around> OK, back away. Next question. How many of you have seen Boys in the Hood?”

Fawn Nguyen (35:26):
We all learn about Miss G and her 150 students in the movie Freedom Writers starring Hilary Swank. All great teachers share a common set of traits. They care deeply about their students, have high expectations of them, and always believing wholeheartedly that they will succeed. Great teachers go above and beyond, not because they extraordinary—as Anne Gruwell would always refer to herself as an ordinary teacher—but because extraordinary things happen to people when we believe in them, give them hope, help them write their own story with a different ending. So what stood out for me with Miss G is the scope of her reach, the ever-expanding sphere of her humanity. The red tape she had placed on the classroom floor for the line game shows just how much we all have in common despite our differences. Her students didn’t just learn from her; they learned from one another. If you’d like to be part of this expanding sphere to give voice and hope, please check out Freedom Writers Foundation dot org.

Dan Meyer (36:38):
OK. This right here is a tough one for us. Thank you, Fawn. We collectively ranked—that’s our number one seed and number eight seed, which I hasten to say does not have to do with Erin Gruwell, a person, but the portrayal and the movie. So we don’t have like a whole lot of…there’s not a lot of defense we have to offer here of our eighth seed. And I heard like a kind of a little bit of a murmur over the crowd on Erin Gruwell. So I’m more interested than having a defense back and forth. I’d be curious what you, Bethany, think about what, like, what both movies have to say about like, what teaching is, especially teaching urban schools with black and brown kids and lower-class kids, for instance. They both have, I think, very different things to say about them. Do you have thoughts about that?

Bethany Lockhart Johnson (37:19):
Well, it’s interesting because there is some overlap in the sense that the arguments that both Fawn and Robert Berry put out, they both care deeply about their students, right? We’re not gonna argue that. They care deeply. And something that I would say about Miss Teagues is there’s something about the way that she sees not only her classroom, her students, but she sees all of the students in the school as her students. And her idea of resource generation is really helping the teachers to generate resources from their community themselves, and to also realize that the students see themselves reflected in the teachers. And I think that—you know, again, this is not about the real person—but the movie portrayal, and we often see kind of this, for Freedom Writers, we often see this like, Great Last Hope whisked in and her personal sacrifices are what makes these students, these brown and black students’ transformation possible. Because of her sacrifices. Including her marriage. Including, you know, three jobs. And it’s just portrayed in a way that I think really celebrates her sacrifices rather than what the students have already brought—they already come into the room bringing so much as they are, already, without her intervention.

Dan Meyer (38:38):
I love the portrayal of the teacher as part of a community of teachers. Versus in so many of these movies, it’s the teacher as the only person who gets it, you know, oftentimes coming from outside of the world of teaching and everyone’s against them and wants ’em just to fall in line and do the thing we always do, and they’re the outlier. But in Abbott Elementary, it’s like we all rise and we fall together. And teachers are investing in each other’s success, especially with Gregory the longterm sub. We’re all rooting for his, you know, his flourishing. I love that. And yeah. That’s bigtime.

Chris Nho (39:09):
Yeah, I think one interesting thing is that Freedom Writers, when it came out, I think it was like a commercial success.

Bethany Lockhart Johnson (39:17):
Oh, big time. Yeah. It was.

Chris Nho (39:18):
It probably influenced a lot of people to try teaching out. So I do wonder what it says about us, right? Like that we want teaching to fit this narrative, and we wanna be those people who could go into a classroom and <puts on “cool voice”> “Y’all listen to Snoop Dog?” and just have that question HIT. <laughter> And you know, I’ve taught in a large urban school district, and I’ve been that person and I’ve seen other people try and be that person. And I think stepping away from it a little bit, just—it’s a reflection of what people want out of teaching and what they think better education looks like.

Dan Meyer (39:57):
Yeah, yeah. This idea that, so I’m a middle-class person, let’s say, and like, there’s this idea, like, “I know what I would do if I was going into circumstances of impoverishment.” Like I have—

Bethany Lockhart Johnson (40:06):
“All they really need is…”

Dan Meyer (40:07):
…for me to give ’em some real talk and tell ’em, you know, pull their pants up or whatever, listen to Snoop Dog, that kind of thing. And that will be the key. And that’s not how it is in, you know, in Jack Black in School of Rock or Tina Fey school, which are, you know, coded as largely like upper-class or largely white schools. And in those movies, it’s interesting, like how it’s about students discovering themselves, oftentimes. And the central figures are often students. And the students need to reject an oppressive parent figure or something and find themselves. But no, in Freedom Writers, it’s like, “You need to become more like the middle-class teachers who are coming in here to give you this wisdom.” It’s just interesting. I do find it—a pet peeve of mine is when movies portray teachers as only successful if you endure, for instance, the failure of your marriage, or even in Stand and Deliver, for instance, like Jaime Escalante, they depict him having a heart attack. And, like, the job oughta be…easier. <Audience laughs>

Chris Nho (41:04):
Truth.

Bethany Lockhart Johnson (41:05):
That’s the barometer for how much….

Dan Meyer (41:09):
Like, no heart attacks and no divorces related to the job, that kind of thing. I do love how in Abbott—one last thing and we’ll vote and Abbott will win <audience laughs>—is like how, like there, there is a lot of degradation in Abbott, but it’s not a divorce or a heart attack—it’s the petty indignities of asking a student, “Do you wanna hang with me?” And a student says, “Nah, not really.” And that just spoke to me like how it’s not cinematic, but teaching, successful teaching, is like a collection of developing an immunity to students saying, “You’re not hot.” <Laugh> You know? And so I love that. I do wish that there was more depiction of students in Abbott Elementary. It’s a lot of adult stuff. Whatever. Give it up for Abbott, if you would, please. Let’s just get this done here. All right. That’s plenty. That’s plenty. Not gonna ask folks about Freedom Writers. OK, let’s move on to— all right, let’s hear it for Freedom Writers! Yeah. OK, cool. We go, yep.

Chris Nho (42:05):
Plot twist!

Bethany Lockhart Johnson (42:07):
OK, let’s see our final four. Cut and paste. Real time. Real time.

Audience member (42:12):
Where’s Dolores Umbridge?

Dan Meyer (42:14):
Oh….

Bethany Lockhart Johnson (42:16):
Hey, did you hear that? He said, “Where’s Dolores Umbridge?”

Dan Meyer (42:20):
All right. OK.

Bethany Lockhart Johnson (42:20):
See, we missed so many. We could…

Dan Meyer (42:21):
So coming up here, we’ve got in the Eastern Conference, Tina Fey and Ms. Frizzle. Y’all know how I feel about that one. Let’s just get this one done. OK, let’s give it up for Tina Fey. Let’s hear it. <Audience cheers> OK. All right. Yes! Let’s give it up for menace to children everywhere, the terror, the Ms. Frizzle. <Audience cheers> One more time for Tina Fey. Let’s hear it. <Audience cheers> One more time for Ms. Frizzle. Let’s hear it. <Audience cheers>

Bethany Lockhart Johnson (42:59):
Yeah. OK.

Dan Meyer (43:00):
It took ’em one round, but they made the right call in the end. <Laugh>

Chris Nho (43:04):
All it took was 10 minutes of constant Ms. Frizzle-bashing. <Laugh>

Dan Meyer (43:09):
Persevering and problem-solving, that’s my game. Yes. All right. So, do either of you want to influence the audience one way or the other?

Bethany Lockhart Johnson (43:16):
That’s not how I play, Dan.

Dan Meyer (43:18):
Oh, OK. Yeah, that’s true. That’s true. You’re good. On Abbott versus Marshall Kane, should we just let ’em have it? All right. All right. Give it up For Abbott Elementary. Not bad. And for Marshall Kane. OK. OK. I hear Zak and five other people. All right, cool. <laugh> Right on. All right. We got our, we got our finals,

Bethany Lockhart Johnson (43:45):
We did it. We made it to two. And we know: We left out a lot of people. Right? And honestly, I kind of wish we could poll like everyone. I mean, think you put it on Twitter, right? Like, who would you pick? But I would say we had a pretty solid eight there. I’m excited to see who… Look at the little crown he put, you guys. Come on.

Dan Meyer (44:05):
I worked hard for you. For you. <Laugh> Yeah. I liked that it was a good bunch that had a lot of different kinds of qualities…and lack of qualities in some cases. And it allowed us that—I shouldn’t knock her while she’s down, and she IS down, it’s true. <Laugh> And I appreciate the conversation we’ve had, what they have revealed overall about teaching and what the world wants teaching to be versus what it actually is or actually should be. I appreciate that. So let’s settle this here. Give it up, if you would, for Abbott Elementary. <Audience cheers> And give it up for Tina Fey in Mean Girls. <Audience cheers>

Bethany Lockhart Johnson (44:49):
Wow.

Dan Meyer (44:51):
That was close. I almost give that to Tina Fey.

Audience member (44:55):
Yeah, we do!

Dan Meyer (44:55):
I don’t know. That was a bracket-buster for me right there. Yeah. I lost money in the office pool off that right there. Maybe let’s just find out one more time here. One more time.

Bethany Lockhart Johnson (45:03):
Last time.

Dan Meyer (45:03):
Time to summon up all your conviction on one or the other here. No half-measures right now. All right.

Bethany Lockhart Johnson (45:07):
Emmy Award-winning Quinta Brunson.

Dan Meyer (45:09):
Yeah, you saw Robert Berry on that, right? He was like, “Oh, I got one more card to play. Emmy Award-winning.” That’s admissible. That’s admissible. We’ll take that. All right. So…give it up for Abbott Elementary, one last time. <Audience cheers> OK. All right. All right. And give it up for Tina Fey in Mean Girls. <Audience cheers>

Bethany Lockhart Johnson (45:30):
Drumroll, please!

Chris Nho (45:33):
Best teacher is….

Dan Meyer (45:34):
Tina Fey in Mean Girls! Yeah. Not a bad pick.

Bethany Lockhart Johnson (45:39):
I love it. And I think, too, I think we’re gonna have a little bit of a more reflective lens than we thought we did when we see depictions of teachers in film and television. And, you know, hopefully we’ll see some new tropes come in, right?

Dan Meyer (45:55):
Yep. Yeah. Every dollar we spend on movies with lousy teachers is just encouraging these people to make more lousy teacher movies, you know? Awesome. Thank you for being here for a live taping—

Bethany Lockhart Johnson (46:06):
Thank you for being here.

Dan Meyer (46:06):
—of our podcast, Math Teacher Lounge, in a hot room. Appreciate that. Yeah, it’s been fun for us to have you here. Um, super-important, super-important final remark: Bethany loves Oprah and Oprah occasionally, in the show—

Bethany Lockhart Johnson (46:18):
Is she coming?! Is she here?!

Dan Meyer (46:19):
Not here! Not here! Calm down. Calm down. Um, but we do have in Oprah fashion, not something—

Bethany Lockhart Johnson (46:24):
Oh. Oh, OK. Oh, that’s, that’s OK. Sorry. I got, had really excited for a second. As if the Amplify playing cards, The Amplify t-shirts being chucked at you at high speed—I did try to get a t-shirt cannon, and that was quickly ruled out <laugh>. They didn’t know about my rocket arm, right?

Dan Meyer (46:46):
Yeah, you got a cannon. <Laugh>

Bethany Lockhart Johnson (46:47):
Yeah. Oh, that’s a compliment. Oh, is that a compliment? Thank you, Dan. Thank you. Look under your seat because we have five winners. We wanna thank you for being here in person. We wanna thank the folks who are listening. We wanna thank Amplify. Oh my God. Somebody just pulled off the chair tag. You get to take that chair home with you.

Dan Meyer (47:08):
Does anybody have a prize?

Bethany Lockhart Johnson (47:10):
OK, stand up if you…stand up if you…Yes! Stand up if you have one!

Dan Meyer (47:16):
Free set of classroom dry-erase boards, right here. Congratulations.

Bethany Lockhart Johnson (47:22):
And for you who pulled off the chair tag, I don’t know. We gotta we gotta find something for you.

Dan Meyer (47:27):
Put that in your backpack.

Bethany Lockhart Johnson (47:30):
Thank you again for being here. Thank you. Amplify. Thank you, Desmos. Thank you. Dan Meyer.

Dan Meyer (47:36):
Thank you folks. Chris, thank you buddy.

Bethany Lockhart Johnson (47:38):
Chris! Chris Nho, everybody!

Dan Meyer (47:40):
We will be, we will be at—Bethany and I will be at the booth, if you wanna chit-chat and hang out, sign some stuff. Whatever. You wanna have Bethany sign you, she’ll do that. Um, come on down to the Amplify booth and we’ll—

Bethany Lockhart Johnson (47:50):
We’ll talk to you more about Ms. Frizzle.

Dan Meyer (47:52):
Fun and prizes. I will share with my real thoughts about Ms. Frizzle down there. I’d love to see you. Thanks for being here, folks.

Bethany Lockhart Johnson (47:57):
Thanks for listening. Bye.

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What Dan Meyer says about math teaching

“Teaching, more than other professions, is a generational profession. The kinds of joyful experiences we offer—or don’t offer—now affect the experiences students that haven’t even been born yet will have years later.”

– Dan Meyer

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.

A woman with curly hair and glasses smiles outdoors; a man with short dark hair smiles indoors in front of a blurred math teacher lounge, highlighting valuable math teacher resources.
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!

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.

S5-01. Investigating math anxiety in the classroom

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.

Season 5 is here! This season, we’ll be talking all about math anxiety: what it is, what causes it, and what we can do to prevent or ease this anxiety in the math classroom. To launch this very important theme, we sat down with Dr. Gerardo Ramirez, associate professor of educational psychology at Ball State University.
 
As someone who’s been studying math anxiety for more than a decade, he had some interesting research and advice to share on why math anxiety affects so many students (and adults), and tips for how to start reducing it.
 
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

Dan Meyer (00:01):
Hey, folks. Welcome back to Math Teacher Lounge. I’m one of your hosts, Dan Meyer.

Bethany Lockhart Johnson (00:05):
And I am your other host. I’m Bethany Lockhart Johnson. Season five! Hello!

Dan Meyer (00:11):
Bethany, how are you doing? How have you been spending the long break between our recording sessions?

Bethany Lockhart Johnson (00:16):
As much as I loved sharing content from previous seasons, I am so thrilled that we’re back for season five. I have been, you know, chasing a toddler. I think he’s already tired of me saying, “Ooh, can we count that?” He’s like [sighs] “One two, one two.” Like, he’s done already.

Dan Meyer (00:36):
Too much counting. Yeah, I worry about that so much, that my love of mathematics might be perceived by my kids as smothering. Yeah, I worry about the same. We shared with you folks some bangers of reruns, in my humble opinion. Some great guests. But, we’ve been excited—me and Bethany—to hop back on the mics, on the ones and twos, and explore some new ideas together.

Bethany Lockhart Johnson (01:01):
Well, I loved our season talking about joy in mathematics. And personally I could…like, we could turn this whole podcast into joy in mathematics. However, we’re kind of going a different route. Because if you ask folks why they don’t feel joy in mathematics, a lot of times at the root of that is some really intense math anxiety. So this whole season, we’re going to be delving into math anxiety. Exploring what it is, who has it, why do we think it happens, what do we think we can do about it, and how can we navigate through it, so that we can experience that joy in math? These are questions that we’re gonna explore over the course of the season. Dan Meyer, how do you feel about that?

Dan Meyer (01:49):
It feels big and it feels personal. I mean, as we shared in our math stories back from season…whatever it was, math anxiety was a huge part.

Bethany Lockhart Johnson (01:59):
It was last season, Dan.

Dan Meyer (02:00):
Last…? I mean, who can remember? Big part of your journey. I’ve had some very punctuated but intense moments of anxiety in math class. And socially, we have built math up to be this incredibly powerful thing. You know, restricting movement on economic ladders, preventing people from getting into careers they want. Whether or not they have much to do with math class, math anxiety is a really large part of educational but also social life. And yeah, I’m really excited to explore it with you. We’re bringing on some really excellent guests. Some researchers, yes. But not just researchers! Also people who practice in the field and know firsthand what it looks like to resolve issues of anxiety with students.

Bethany Lockhart Johnson (02:45):
Yeah, you’re right, Dan. My math story contained quite a bit of math anxiety, so I am particularly invested in this season. I mean, I still navigate math anxiety. And, you know, many of us do, and let’s talk about it. And let’s—I love that you reminded me. We’re gonna have a lot of great researchers all throughout the season, and a lot of times folks feel like the research happening, there’s sometimes a gap between researchers and what’s actually happening in the classroom. Not in all cases, but a lot of times. Right? And I remember a lot of conversation about the latest research when I was in grad school, but unless you’re actively studying something, sometimes we don’t know what’s happening. Right? We’re really focused on what’s happening right in front of us in our classroom. So let’s take some of that research; let’s break it down; let’s talk to some of the folks who are thinking about this for the bulk of their day, right?

Dan Meyer (03:41):
Yep. So we got our first guest coming up in a moment here.

Bethany Lockhart Johnson (03:45):
So to kick off this season, we’re starting episode one by talking to Dr. Gerardo Ramirez, Associate Professor of Educational Psychology at Ball State University. And he’s been researching math anxiety for more than a decade. He’s worked with so many amazing folks in the field. He’s worked with students, he’s worked with teachers, with educators…I’m just so excited to talk to him. If you look up math anxiety, you see his name as one of the folks who is really thinking about this at so many different angles, and we get to talk to him. So enjoy our conversation with Dr. Gerardo Ramirez.

Dan Meyer (04:29):
We are so excited to have Dr. Gerardo Ramirez on the show with us. Dr. Ramirez is an Associate Professor of Educational Psychology at Ball State University. Thanks so much for joining us.

Dr. Gerardo Ramirez (04:40):
Yeah, thank you for inviting me to talk about math anxiety.

Bethany Lockhart Johnson (04:43):
So with your interview, Dr. Ramirez, we are actually launching the season. We’re gonna be talking about all different aspects of math anxiety, and it feels pretty perfect that you are first guest of the season, because of the sheer breadth of research and conversations you’ve had about math anxiety. Could you start us off kind of telling us a story of how did you get interested in studying math anxiety? Or why, you know, why did you dive into this topic that, you know, I think a lot of folks might…like, if you’re on a plane, and you say, “Oh, I study math anxiety,” what kind of reaction are you gonna get?

Dr. Gerardo Ramirez (05:24):
Oh, sure. Yeah. I think most people are actually very interested because they all have their own story about feeling anxious about math, or just being anxious about evaluation situations that involve math. And, yeah, they wanna share those stories. People feel quite comfortable talking about their anxiety about math, for some reason. But for me, I started off, when I was in undergrad, I was studying to take the GRE quiz. I was hoping to go into a psych program. But I wasn’t exactly sure what direction yet. As I took some of the practice tests, there’s some situations in which I was very nervous about taking the practice test. And I just noticed that I did really poorly on some of these exams. And so I became very interested in issues like choking under pressure, which means when you underperform relative to what you expected to perform. And so, as I was researching these issues, I started to come across this whole field of math anxiety. And I saw that while there are some people who choke under pressure during tests, there are other people who just have a strong general fear of mathematics.

Dan Meyer (06:29):
That’s really helpful. I can imagine you’re doing a lot of free psychology sessions, free therapy for people on airplanes when they bring to you their own stories of math. So let’s thank you for your service in that sense. I’m super-curious. So Bethany and I have both taught math. We both have seen firsthand what it looks like when a student is anxious in math class, though maybe we don’t have kind of the clinical language to describe it. And I’m curious, from a clinical sense, how do we define math anxiety?

Dr. Gerardo Ramirez (06:57):
Sure. So first off, math anxiety is not something that you would find in the DSM, for instance. But we generally define that as a fear or apprehension to situations that involve math. So it doesn’t have to necessarily be educational situations. It could be someone asks you a math-related question during a party, or you have to calculate the tip at a restaurant, for instance. It doesn’t have to be about schooling situations, although that’s obviously where it seems to matter a lot for many people. So it is basically a fear or apprehension to situations that involve math. And I think distinguishing the term “fear” from “anxiety” is really important here. A lot of times people use those terms interchangeably, and the term “fear” is obviously within our definition of math anxiety. But oftentimes what differentiates anxiety from fear is that, anxiety is—think of it like a recipe. Anxiety is fear plus a little bit of unknown. OK? So if, for instance, if you hated snakes, and they threw a snake at you, you’d be in intense fear. Whereas if you hated snakes and they said, “There is a snake in the room, but I’m not gonna tell you where,” that’s gonna cause anxiety. And so the reason why we call it math anxiety is because a lot of times people experience this fear for a possible unknown future that involves math or possible unknown evaluations that people might have about your competence, because of math. And so for a lot of kids, they feel anxious about how they’re gonna do on a test or whether they’re gonna be able to pass a class or whether they’ll be able to understand what you’re saying in your lessons, for instance. And so the anxiety component really gets at fear of something that’s unknown, but related to mathematics situations.

Dan Meyer (08:47):
Math is somewhere in the ceiling right now. Perhaps I might be surprised with a math situation!

Dr. Gerardo Ramirez (08:52):
Yeah. yep.

Dan Meyer (08:52):
So I have this tendency to assume that every other subject that we teach has it better and easier than math does. It’s not true. I know this is not true. But I’m kind of curious here. Is math anxiety, like, part of a general just set of anxiety around schooling itself? Like, is there a reading anxiety, a writing anxiety, and does that all just flow from the same kind of fount of anxiety around schooling or situations about learning? And what makes math special in this regard? If it is its own special anxiety, for instance?

Dr. Gerardo Ramirez (09:27):
There are different…so some people obviously suffer from generalized anxiety. Right? And so they would, you know, feel anxious both for evaluative and non-evaluative situations. But in the research that we’ve done and that other people have done, there are differences between things like reading anxiety, math anxiety; I’ve also studied spatial and creativity anxiety. A lot of times what we’re trying to do in these studies is we measure all of the above, and we try to show that, look, math anxiety predicts math situations above and beyond these other things. So yeah, we definitely distinguish those things. And so what’s special about math is that, well, I think the symbolic nature is a big part of it. The abstract symbolic nature is just not as tangible to students. They can’t touch it. And so it doesn’t allow ’em to use their full cognitive faculties to play with it, as you might see, for instance, in science. Or it doesn’t allow people to relate math to their own interests the way you might see, for instance, in English. So maybe I hate reading novels, but I’m interested in zombies and you give me a book on zombies, well, ok, great, you’ve connected my personal assets to the topic. Whereas with math, either that’s harder to do or instructors don’t do such a good job of setting that connection up.

Bethany Lockhart Johnson (10:46):
Also, I think, you know, I’ve heard of students being really anxious, let’s say, during a reading session, when teachers used to do—hopefully they’re still not doing it—the popcorn reading, where you just randomly call on a student to read out a sentence. Right? But you don’t really hear students or adults talking about, “Oh, no, no, no, I don’t read; I don’t mess with reading.” You know? Whereas with math, you do hear, “Oh, I’m not a math person. Oh no, no, no, don’t ask me any math questions.” And that is such a distinction.

Dr. Gerardo Ramirez (11:18):
Yeah. And I think a lot of that’s because it’s just so common. As an adult, to be nervous about reading is kind of an uncommon thing. So people feel a stigma around admitting that. But math is something that everyone feels like they’re inadequate in. And so there’s a lot of comfort in telling you how they’re just one of the many people who don’t like math. And that, you know, can have a lot of different consequences and outcomes. I think on the one hand, I think for a lot of kids it becomes a normalized message that if you fear math, that’s OK, join the club. Right? But we have to be careful about that, ’cause a lot of math anxiety researchers will oftentimes say, part of what leads to math anxiety is adults normalizing that it’s OK to be scared of math. So I think a lot of times adults, teachers, for instance, math teachers, they’ll tell kids, “You know, if you’re scared, that’s OK.” And so a lot of the math anxiety community says, “No, no, no, you’re not supposed to do that.” But my recent view is different. I view that as a form of validation. Because math is hard. And so telling kids, “Hey, look, it’s actually easy if you just try,” I don’t think that’s true. It’s actually just hard. And I think even if it was easy, to the kid, it feels hard! And I think something that’s not really well-studied right now in our field is the value of validating people’s math negative math experiences. We don’t want to validate that, ’cause we think that we’re gonna reinforce that. But actually, I think the opposite. I think when you validate people’s negative math experiences, it helps ’em to feel that they can handle it. They can start to take control over their own emotions.

Bethany Lockhart Johnson (12:52):
I love that. And I, I actually, I think that’s so powerful, what you’re talking about, that validation. I taught kindergarten, and I vividly remember being in a parent-teacher conference and that parent saying, “Oh, I wasn’t a math person either,” right? Or, you know, their language and their experience with their own math schooling, their anxiety about math was actually impacting their students’ experience of math. Or the conversation that, when I would go to talk about a math assessment, let’s say, you could see the parent actually tensing up. And there was this moment of validation, that I felt like we needed to make space for that in the conversation with the parents, right?

Dr. Gerardo Ramirez (13:38):
Yeah.

Bethany Lockhart Johnson (13:38):
Like, this is a real thing. And we are working on teaching students that math is something that gets to—your experience with math gets to look all sorts of different ways. And it’s OK if we, you know, make a mistake, or if we kind of only get this part, but we’ve really got that part. Or let’s talk about it; let’s write about it. So I really feel like that that validation is something that’s so missing. And instead of the validation, like you said, you see folks being like, “Oh yeah, me neither. I’m not a math person either.” Right?

Dr. Gerardo Ramirez (14:10):
Yeah. I think…part of the reason why people are comfortable sharing this because they’re looking for validation also. When they say, “Oh, I’m not a math person,” you know, I think they’re hoping that, you’ll say like, “Yeah, me neither,” or “Of course not, ’cause math is terrible.” Right? They’re looking for validation, not to reinforce their perspective, but to feel that it’s OK not to be a math person. And I think that’s one of the techniques that I’m trying to work on in my research right now, is to provide evidence that actually people will work harder when you validate their math experience. You don’t have to tell them a positive story per se. If your current story is “Math is hard and I’m very, very anxious; I’m scared,” then we can just validate that and help you work through that. And it actually will strengthen our relationships. Because if you’re a student and you’re struggling with math and I tell you, “Yeah, it’s hard; it’s OK to struggle with math,” that makes you feel seen. And that’s gonna lead you to want to ask me more for help, because I’m someone who understands you. And that’s a great, you know, remediation opportunity.

Dan Meyer (15:14):
A common thread that I think I’m seeing here in several answers is that math sometimes asks students to disassociate part of themselves. Where success in math oftentimes means working from an a level of abstraction with symbols, like you said, that can feel alien. Like, who am I here? And in the same way, I love that you’re proposing we validate and reassociate people with a very deeply felt part of themselves that is anxious about mathematics.

Dr. Gerardo Ramirez (15:44):
Yeah. I mean, I think that’s what validation’s supposed to do, right? So a lot of us, when we feel these strong emotions, we wonder, “Is this even a real thing? Are other people feeling this? Is there something wrong with me?” So we feel the emotions, but we can’t actually deal with them, because we wonder if they’re legitimate. And so when someone says, like, “Yeah, this is hard,” it crystallizes that emotion. And once something is made real, you can actually choose how you want to deal with it. Some kids are gonna deal with it by staying anxious. But some people are gonna choose to deal with it by saying, “Well, there’s nothing I can do about it now; I have to take this math test, so I’m just gonna think positive.” And that’s great. If the kid can end up saying that to themselves, that’s much more effective than me telling the kid, “Hey, you just gotta think positive. You’re gonna start the test anyway.” And so we want the kid to make meaning of their experience, and the way we do that is by crystallizing their emotions through validation.

Dan Meyer (16:36):
Yeah. I love that. And so what you’re proposing there, I think, sounds like, a solution, like a post-talk solution after students are feeling anxiety.

Dr. Gerardo Ramirez (16:43):
Yes.

Dan Meyer (16:43):
To validate and empathize.

Dr. Gerardo Ramirez (16:45):
Yes.

Dan Meyer (16:45):
And over the course of our season, we hope to explore a lot about solutions to math anxiety that are preventative, that reduce the odds of anxiety arising, through instruction and curriculum, before it arises. And I’m just wondering if you’ve seen anything that would hint at either specific or general words of wisdom you wanna share with the educators, about not just addressing it after the fact, but preventing math anxiety before it arises?

Dr. Gerardo Ramirez (17:14):
To be honest, at this point, I haven’t seen enough evidence for me to recommend anything concretely as an intervention for math anxiety, or an intervention to prevent its development. All I can really do here is rely a lot on the more broad cognitive-behavioral research on anxiety, which says that one of the ways we prevent people from developing anxiety is by helping them to make more positive appraisals of challenge situations. So a lot of times, when kids are challenged, they don’t know how to interpret that. “What does it mean that I’m struggling with this thing?” And so that’s where I think a lot of teachers can help students’ interpretations of that. ‘Cause if you leave kids to their own devices, they’re gonna think, “I’m struggling because I’m stupid. I’m struggling because I’m not good enough. I’m struggling because my dad is right; I’m gonna be a failure.” You know? They’re going to impose an interpretation to a challenge situation regardless. And so, as teachers, one thing we can do is we can help shape that interpretation and say, “What does it mean to struggle with math? People will say it means you’re stupid. That’s one interpretation. What’s another one? It means that your brain is working really hard to think through something. That’s another interpretation. What’s better? What do you think is more helpful?” And then, helping students to see how interpretations matter to how you ultimately feel about something. And that’s a very metacognitive way of thinking about things. So yeah, I would say that one way to prevent it is to help students to take more positive interpretations of their experience. But another way, and I think a more successful way, I think, is to give students early experiences where they feel efficacious dealing with math. One of the ways you do that, for instance, is by obviously making sure that the students understand the material—but that’s obvious; people are trying to do that. One of my favorite recommendations is to keep reassigning assignments, the same exact assignment, for, say, three weeks, back-to-back. So if in week one you do the homework assignment, you do OK, you don’t do so great, when week two you do it, you give the exact same assignment, and now the student can see like, “Wow, OK, this was much easier.” And then, week three, you give the exact same assignment; now the kid’s feeling really confident. And the reason why that’s great is because it helps kids to see that they’re growing in confidence. A lot of times kids don’t get to see that because we’re constantly throwing new assessments at them. And so they’re never seeing that growth. All they’re seeing is a new challenge, a new challenge, a new challenge. So I think we need to set up situations where they can feel that they’re growing, when we keep the assessment static. That can be a formative assessment, for instance—doesn’t have to be a summative assessment.

Bethany Lockhart Johnson (19:55):
That feels so powerful and it feels like it really connects to that validation piece, right? We are actually helping to create a culture in our math classroom where we might struggle with something, but we keep revisiting it. And it’s not so much to reach mastery, but as Dr. Megan Franke — we talked to her about this partial understanding and about pulling on those threads of things that you do understand, so that you can build your confidence…build, not just confidence, but build your…I guess, kind of get your footing, right? You’re saying, “Well, I do understand this. I see how this works.” And if I’m revisiting an assignment, I feel like that would give me permission to like, “Hey, I don’t have to have this figured out on the first pass. You know?

Dr. Gerardo Ramirez (20:44):
Yes, yes. Yeah. I mean, I’m gonna give you a silly analogy, but I think it works. You know, a lot of times people will have nightmares, right? And they’ll keep having the same nightmare over and over again, right? And so one reason that we suspect this happens is because they haven’t worked through whatever that nightmare’s supposed to be about. So if, say, I’m scared of driving, I may be having the same dream about driving and crashing over and over. And we keep having these nightmares. And I think math anxiety is kind of like a waking nightmare, where you keep rehashing something because you haven’t had the chance to finally address that dragon. You know? And so if someone was having a lot of fear over driving, then one behavioral approach would be, you know, to work with a therapist to actually get behind the wheel and maybe drive around the same track over and over until you feel comfortable at that, and then the nightmares stop. Well, the same thing is true, I think, about math, math and math anxiety, is that you wanna give people these opportunities to feel confident by going back to that original experience that caused them to feel anxious, and saying, “This one assignment that we did in week three that really freaked you out, let’s try it again now in week five. How was that?” “Yeah, it wasn’t so bad. It was still kind of annoying.” “OK, we’ll we’ll come back to it.” “Now it’s week seven. Now let’s go back to that assignment. How is it now?” “That’s actually…it wasn’t that terrible.” And that gives people the opportunity to reflect on how they’ve grown past that nightmare.

Bethany Lockhart Johnson (22:05):
I have to say, Dan talked about you being like a therapist. I’m like, wait, “How did you know, Dr. Ramirez? I did have this recurring dream! I did! And I had to face it. No, but I had such intense math anxiety in high school and it was debilitating. And the biggest thing for me, I thought I was the only one. I thought there was something wrong with me. I thought, “Why can’t I figure this out?” There wasn’t a conversation about “Here are some tools,” or “Here are some, some, some…”. Like, “This is OK, for you to feel scared about this or overwhelmed!”

Dr. Gerardo Ramirez (22:41):
Mm-hmm. Mm-hmm.

Bethany Lockhart Johnson (22:42):
You know, I think often when we talk about how widespread math anxiety is, I think a lot of folks automatically jump to high schoolers or college students avoiding math courses. But we see this in really young kids.

Dr. Gerardo Ramirez (22:56):
Yeah. So people are…people are just constantly making meaning of themselves, regardless of the age range. And that’s true even with young kids; they are trying to figure out who they are. Right? And so one of the things you see oftentimes with young kids is you ask ’em, “What are you good at?” And they say, “Everything!” And that’s their attempt to, you know, make meaning of themselves. But sometimes they’re not good at everything. Sometimes they actually struggle in math. And I think even early on, they have to make meaning of that. They say, “Well, I’m good at everything except math.” And how do you make sense of that? Well, why not math? “Oh, because math is terrible. It’s not for everybody. You know, it’s not something that I like.” And so, yeah, in a lot of the studies that we did early on, we basically went into these first-grade classrooms with the purpose of trying to assess whether we can actually show variability in kids’ math anxiety, even early on. In other other words, do kids even report feeling anxious about math situations? Or do they tell us that they’re great at everything? And what we found was that in fact, a good chunk of kids are, again, perfectly willing to tell you that “No, certain situations involving math make me very anxious.” Counting or addition, or doing a problem on the board. And the way we do that is by—I think there are probably more sophisticated ways that can be done, but this is the best we have at this point—is we go in there and we ask them, we show them a bunch of smiley faces and anxious faces. And we say, “I want you to tell me how you feel about these different situations that involve math.” And so we say, “If you feel kind of nervous, I want you to point to this face. If you feel very nervous, point to this face.” And we basically will read to them situations. We’ll say, “How would you feel if your teacher asked you to open up your new math textbook and you saw all the numbers inside of it?” And they’ll point to the really nervous face. So right now, those are some of the more reliable assessments for math anxiety among young kids. And that work showed us that even young kids are self-reporting math anxiety.

Dan Meyer (24:51):

Obviously this is worth our study, because we would hope people would not feel anxious in general, and especially if we have a mandated…kids are mandated to be in math classes for their entire childhood. So I see the need for this study, these studies. I’m curious: What are the consequences, though? Like what, what correlates with math anxiety? What are other reasons why we should care about math anxiety and work to remediate it?

Dr. Gerardo Ramirez (25:16):
Oh, sure. So it correlates with their actual math performance. It can correlate when they choose to do homework. Right? So a lot of times, the parents report having to fight with their kids over math homework a lot. And you also oftentimes see a lot of frustration over mathematics specifically. And so it can, you know, not only affect their academic ongoing outcomes, like math tests and math assignments, but it can also affect their relationship with their parents. So if every time you come home, your dad’s screaming at you because you haven’t done your math homework, and when he asks you to solve the problem in front of them, you don’t remember, ’cause you were checked out, ’cause you’re so stressed out, that’s gonna cause a really negative experience. You know, a lot of times people grow up and they still remember their dad screaming at them over the math homework. You know, it’ll affect your relationship with your teacher. So if you’re making me feel incompetent, if you’re stressing me out, you’re not the kind of person I wanna come to for help. So it can predict relational outcomes as well as academic outcomes. And down the line, of course, when it affects students’ opportunities to get into things like AP classes, it affects students standardized test performance and their choice of colleges, as well as scholarship opportunities.

Dan Meyer (26:29):
Once you show that it correlates to performance, then that opens up a whole range of other correlations that are pretty important, it sounds like. Whether that’s career options or, you know, post-secondary education and the like.

Dr. Gerardo Ramirez (26:40):
Yeah. And a lot of times, when people are choosing a career at college, a lot of times students will make a decision specifically based on what career has less math requirements or less math courses. So I think this finding needs to be verified further. But, there’s some studies showing that, for instance, elementary ed teachers, one factor that feeds into the decision to go into elementary ed is the math requirements are very low in elementary ed. So that can…obviously it’s not what we wanna hear, because these are our first formal math teachers, right? For our kids.

Bethany Lockhart Johnson (27:16):
It feels so powerful, the impact that math anxiety can have, not only while you’re in, let’s say, elementary school, high middle school, high school, but then the impacts beyond that in terms of your career. And I shared this last season, when we talked about our personal math story, but I know when I was navigating the deepest part of my math anxiety, I really felt like, maybe this is a reason I can’t be an elementary school teacher. Because I was so worried that I wouldn’t be able…not that I wouldn’t understand the math for fourth grade, fifth grade, but that there was something about my ability to teach it or understand it or develop a love and passion for it that I wouldn’t be able to do. And I really had to reclaim it in my own way. But, you know, something that I think is so powerful about your research is just the applicability — not only to the field of mathematics, but folks’ everyday lives. And the way that you have talked in the past about math being a gatekeeper…I have a family member who, brilliant American Sign Language interpreter. I mean, amazing. Like a dance with her fingers. I could just watch it all day. And she actually didn’t complete the program because she couldn’t complete the math requirements. And I remember talking to her about like, “Well, have you gone to the free tutoring? Have you gone to, you know, this or that?” But it was a paralyzing fear, you know? So Dr. Ramirez, what do you wish educators understood about math anxiety? Or the research about math anxiety? Or maybe even the general public at large, what do you wish folks understood about math anxiety?

Dr. Gerardo Ramirez (28:58):
Oh, I think that a lot of students, they struggle with math. And I think we wanna normalize that struggle as much as possible. We want to create a culture where it’s OK to do math slow; it’s ok to take your time. And I know that’s not possible with a lot of these requirements that a lot of math teachers have to do. But I think if we want to prevent math anxiety, we have to create opportunities to tell better stories. So that’s ultimately what I tell people is, why do people develop math anxiety? Because they had experiences that challenged their competency and they told a negative story. And so making space to reflect in math classrooms about what does it mean to go slow in math, or what does it mean to make mistakes, and then helping kids to tell better stories, I think it’s really the best thing we can do as math educators. ‘Cause you know, your job is not to be a therapist ultimately. You know, there’s only so much math teachers can do. But I think one of the most powerful things we can create is setting up students’ experiences where they feel confident, and they can tell better stories, so they can have better dreams about math.

Dan Meyer (30:06):
Really appreciate this introduction to math anxiety. It’s been a fantastic kickoff to our season. Dr. Ramirez, thank you so much for joining us.

Dr. Gerardo Ramirez (30:14):
Sure. Thank you.

Dan Meyer (30:16):
Thank you folks so much for listening to that conversation with Dr. Gerardo Ramirez, Associate Professor of Educational Psychology at Ball State University.

Bethany Lockhart Johnson (30:25):
Dan, OK, if not for your frantic signaling, I would’ve probably asked another 20 questions. I need to know what you thought .

Dan Meyer (30:34):
I found it interesting at all points. And especially I think I started to understand a little bit better where the anxiety comes from for some students. I got a little bit here, which is that I think math, more than other disciplines, involves alienation. Check that word. You like that? Alienation? I’m into it. I’m feeling it. It’s like…to get good at math, to be successful in math, you gotta, as a kid, lose your attachment to the world you understand. And I mean, “got to” as in like, “you are asked to” — many times, unfortunately, by curriculum and instruction. Which is to say, you’re turning things you can hold onto into numerals. Right? You’re turning the world and its patterns that you can see and touch into Xs and Ys. And I just don’t know that other disciplines deal with that as much. Maybe I’m wrong and just guilty of, you know, “grass is always greener” syndrome here. But I think that’s an experience that kids have in math. And I thought that Dr. Ramirez got at that when he’s talking about the need to validate a student’s experience of anxiety. Like, in treating anxiety, sometimes we alienate people further by just like saying, “Oh, no, no, no, it’s just like, you need to, you know, drill yourself more, practice more,” and kind of invalidate that. So this feeling of alienation, I think permeates a lot of math instruction. I’m looking forward to learning more about that with our future episodes

Bethany Lockhart Johnson (32:00):
Alienation. That’s interesting. I definitely felt, I definitely felt isolated and alone many times in my math journey, when I was having my…you know, in high school, when I was feeling like, “Clearly everyone can look at tan, sign, cosign, and that means something to them.” Right? I think it’s really interesting, because I’m thinking about the other disciplines; I’m running through them, and I’m like, even in science, which can seem abstract, so oftentimes there’s these experiments that accompany these concepts, where you’re like, “Look at this concept made real in front of you.” Right? . And so yeah, that’s really interesting.

Dan Meyer (32:39):
You’re always one step away from blowing something up! Or, you know, dissecting something that’s tangible to you.

Bethany Lockhart Johnson (32:46):
Yeah. That’s really interesting. I did really love how he brought up the abstract. And how, I think, even validating it…he talked so much about validation. Which to me was like, YES. If somebody just said, “Hey, it’s not only possible to have math anxiety, but it also doesn’t mean that you don’t belong here.” If somebody had said that, it would’ve literally changed the trajectory, you know? And I wonder what those conversations could look like in our classrooms, where teachers celebrate that. Like, WHOA, this is a new way to think of this. This is a new way. Asking how many, or what do you notice for this image, through a mathematical lens, or looking…we talked to Alison Hintz and Antony Smith, like mathematizing books, like looking through these lenses — it’s an invitation to step into this other world, right? But there’s not only one way to do it. And I think oftentimes it’s like that anxiety of “Am I gonna say the right thing?” or “Am I gonna notice the right thing?” Right? How do we create that space more, where there’s so many possibilities and we want kiddos to notice what they notice, right?

Dan Meyer (33:54):
You gotta become a certain kind of person to be successful in math class. I feel like is part of the implied deal. Where you’ve gotta—like how you said—say a certain thing or think about a certain thing a certain kind of way. You’re trying to become someone who is not necessarily you. Which I think is fundamentally an experience of alienation, separating you from important parts of yourself.

Bethany Lockhart Johnson (34:19):
I will never, ever dive into mathematics on the scale and level that you have with your PhD. You understand math in a way that my brain just…I won’t get there, right? And yet I’m allowed to call myself a mathematician, with all of my deep dives in elementary math and my love of early numeracy and thinking about how we start thinking about counting and numbers. Right? It’s like, if we make more space for what mathematicians can look like, and what is your personal relationship with math…I mean, that to me feels really exciting. ‘Cause I think we both have something to offer each other.

Dan Meyer (35:03):
I think I have never found early math more interesting than when I talk to early math educators. And learn just like all the different ways that students come to understand a concept that I had thought was simple. Like addition of whole numbers. Whoa! There’s a lot of ways kids do that work, and their brains think those thoughts. And, yeah. That’s a good word there you’re offering us and our listeners.

Bethany Lockhart Johnson (35:27):
Yeah. Yeah. I’m really excited about this season. I think there’s — again, there’s no way we’re gonna cover all facets of math anxiety. But I think having the chance to explore it over the course of a season is going to be really fascinating. And really, I hope, destigmatize it and open up the conversation for our listeners. And, you know, if you listeners…we wanna know what you thought of this episode. Do you have any particular questions? Do you have questions related to math anxiety? Questions related to this episode? We are in development for this season, so we’re gonna do our best to get those questions answered. You can keep in touch with us in our Facebook discussion group, Math Teacher Lounge Community, and on Twitter at MTLshow.

Dan Meyer (36:14):
Next time, we’re gonna go deeper into the causes and consequences of math anxiety.

Dr. Erin Maloney (36:20):
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.

Dan Meyer (36:41):
Til next time folks,

Bethany Lockhart Johnson (36:41):
Bye.

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What Dr. Gerardo Ramirez says about math

“A lot of students struggle with math, and we want to normalize that struggle as much as possible. We have to find opportunities to tell better stories and reflect on our experiences.”

– Dr. Gerardo Ramirez

Associate Professor of Educational Psychology, Ball State University

Meet the guest

Dr. Gerardo Ramirez obtained his Ph.D. from the University of Chicago, where he studied the  role of teachers and parents in shaping the math attitudes of their students, as well as reappraisal techniques to help students cope with anxiety during testing situations.

Dr. Ramirez is currently an associate professor at Ball State, where he examines the role of frustration, empathy, and cultural capital in shaping students’ success and persistence.

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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!

S4 – 04. Dear Math

Promotional graphic for "Math Teacher Lounge" podcast, season 4, episode 4, featuring two women, Gigi Butterfield and Sarah Strong, titled "Dear Math.

In this episode, Bethany and Dan chat with Sarah Strong and Gigi Butterfield, authors of Dear Math: Why Kids Hate Math and What Teachers Can Do About It. Listen in as they chat about their experiences with finding joy in math, and how their passion helped them tell the stories of other students’ journeys to find (or not find!) joy in math.

Explore more from Math Teacher Lounge by visiting our main page

Download Transcript

Dan Meyer (00:01):

Hey folks, welcome back to Math Teacher Lounge. My name is Dan Meyer.

Bethany Lockhart Johnson (00:05):

And I’m Bethany Lockhart Johnson.

Dan Meyer (00:06):

Bethany, it’s been fantastic to see you. It’s been a long while. I feel like [it’s been] since NCTM and our last episode, where we compared the best teacher from movies and TV, crowning the winner Tina Faye from Mean Girls, is a huge, huge episode. It’s good to see you back.

Bethany Lockhart Johnson (00:20):

Didn’t see her coming, but it’d be so fun to be in person. And the energy in that room was, I mean, if you listeners, if you heard that episode, we had some very, very passionate opinions about which teacher was best represented. And we’ve heard from a lot of you that we left a ton of people out. We know, and you know, it’s been great to hear your opinion and your defense of Ms. Frizzle. So, thank you for that. <laugh>

Dan Meyer (00:50):

I apologize for nothing. We’re super excited right now to bring to you folks the first post-NCTM episode. We have a couple of authors, a couple of published authors on the call here. And they, they got a really fun premise for a book. They have, I think, maybe one of the most interesting data sets out there. There’s lots of data out there that’s quantitative, you know, survey data or assessment data and who-knows-what percentages. And they’ve got a set of data that’s just super qualitative, but really dives deep into the beating heart and soul of students as it relates to mathematics. Especially because this season is all about joy in math, how students have it, why they don’t sometimes. And what we can do about that. First up, Sarah Strong is a co-author of the book Dear Math. Sarah loves hearing people’s math stories. I’ve known Sarah first as a math and science teacher in grade six through 12, and a teacher developer at High Tech High in San Diego, a school that’s very innovative and project based and very exciting. And so Sarah’s on as a co-author. And Gigi Butterfield is also a very talented mathematician. And, you know, someone that I have learned from. So I consider Gigi a math teacher-educator as well, coincidentally, [as] one of Sarah’s students! So this is a fun project where Sarah and Gigi are teacher and student and co-authored a book called Dear Math. And Gigi’s now a student, a screenwriting major at Loyola Marymount University. So please, welcome on, great to have you folks, Gigi and Sarah.

Bethany Lockhart Johnson (02:28):

Welcome, you two. We’re so glad to have you in the Lounge.

Sarah Strong (02:32):

Yay. Thanks for having us.

Gigi Butterfield (02:34):

Yeah, happy to be here.

Bethany Lockhart Johnson (02:35):

So the full title [is] Dear Math: Why Kids Hate Math and What Teachers Can Do about It, and as I was reading this out and about in the wilds <laugh>, you know, it was really interesting. Like I’m sitting in a waiting room and somebody starts to talk about their math experience, which, you know, Dan, you know, I love to talk to people. Actually, this season, Sarah, Gigi, we are actually starting all of our episodes, and we actually had a whole episode about this, about Dan’s math story, my math story. We’re asking all of our guests to share their math story. As I was reading Dear Math, I also felt like I got to hear more about your math journey as well as bits and pieces of the students in your class from their ‘Dear math’ letters. It was really wonderful. And so I was like, oh, I wanna hear their math story. So would you share your math story with us, as little or as a lot as you would like to?

Sarah Strong (03:35):

Well, we should have Gigi go first because this book is all about centering student voices. And so I always feel like we need to start by listening to the students. And Gigi here is the student, so Gigi.

Gigi Butterfield (03:47):

Wow, thanks Sarah. I feel very centered <laugh>. Um, so <laugh> my math story as a young student, I quite ‘liked math.’ I put that in quotations that I liked math, and that was because I pretty much thought that I liked it because I was told that I was good at it. I could complete the math assignments that my teachers gave to me pretty easily and pretty hastily. And so that made me feel really good about myself. And then I’d get a big red A+ and that’d make me feel even better about myself. And so I was like, I love math. Math is awesome cuz I’m awesome at it. And this formed what, if you read the book, you’ll see Sarah and I kind of coined a fraudulent fondness of mathematics in that, oh, ‘I think that I like this thing because I don’t really understand it that much, but I understand what I need to understand to gain validation from my teachers and peers.’ And so that’s kind of the attitude I was heading into middle school with. And it carried for the first couple years. And then in eighth grade I had a math test that I failed, like, four times in a row. And that was the first time I had really experienced failure within the math classroom. And it was super hard for me. And it ended up being, for a brief time, very detrimental to my relationship with math in that I was like, well, ‘The reason I loved this is because I was good at it and I’m not good at it, so I hate it. So I hate math so much, it’s my least favorite thing.’ And then I got to high school with that attitude, very different than the one I was entering middle school with, and then I had Sarah Strong as my math teacher. And throughout that first year and then a subsequent three more years where she was my math teacher, I learned that my fraudulent fondness had been just that, it had been completely fraudulent, and that the reasons I liked math, the pillars of what made me good, speed and accuracy, void of any real contextual understanding, were super arbitrary. And they were actually the reason that I wasn’t able to deeply enjoy math at all because I wasn’t coming at it with curiosity or creativity or any sense of relating it to my own life in the greater world. And then I learned how to do those things and I learned how to get excited about math, even when I wasn’t able to do it really easily or really quickly. And then I started to love math and I still love math today. So that’s what I would say my math story is.

Bethany Lockhart Johnson (06:36):

I love it. It’s so interesting to hear that you have such a clear, and in the book you talk about it, too, this reflective sense, you’re able to reflect on what that test meant. Like it could have gone a very different way, right? Oh, which, folks, we should say that Gigi was in Sarah’s class for four years. It sounds like this relationship you had was really healing.

Gigi Butterfield (07:00):

Yeah, it was amazing. I was like the luckiest high schooler ever.

Bethany Lockhart Johnson (07:04):

For reals. Yeah, that’s beautiful. And it’s so cool to hear that you were able to transform that and your relationship really evolved, you know? It evolved.

Dan Meyer (07:15):

I love your comment about how, ‘Now I realize there’s gonna be tough times, and that’s not an indication of failure or a fraud.’ It’s actually a very real part about relationships with humans and with subjects like math as well. It’s super fun to hear. I’d love to hear from Sarah. It’s so wild that you two have been a part of each other’s math story, to a significant degree. How would you summarize your math story?

Sarah Strong (07:38):

Certainly Gigi was a player in my ongoing math story as an adult. And I think that’s also a part of it, is we all have continually evolving and emerging stories of who we are as math teachers, but my math story is kind of congruent to Gigi’s and that’s part of what’s inspired this book is the phrase Gigi used in her ‘Dear math’ letter, fraudulent fondness, I had never thought of that beautiful alliterative phrase before. And I thought, ‘Oh my gosh, that’s what I felt.’ And I had called it a fixed mindset, or all of these other things, but calling it fraudulent fondness was so poignant to me that I couldn’t get it outta my head, and we just kept talking about it. And I think my fraudulent fondness started probably in high school. Before high school I think I was just really stressed out about math, because I thought I had to do really good at it and get things really right really fast or else I was dumb. So this was part of the fixed mindset piece. And so I wouldn’t say I loved it in elementary school, I more felt the weight of it. And I remember especially timed tests, which we always hear about a lot. I just remember sweating and shaking and being like, if I don’t get this the fastest I am a failure, I will cry. And that’s not really setting yourself up to love a thing. So I was, it was a bit fraught and stressful, but then in high school I had this belief that I had to keep being good at it, but I started getting a lot of positive feedback from tests and quizzes and teachers, that was like, ‘Oh my gosh, you’re so great at this. You should be in this class and look, you moved into Algebra Two as a freshman. Wow. Who takes Algebra Two as a freshman? You must be so smart.’ And I was like, ‘Oh, I am so smart.’ But that is sort of an anchor for fraudulent fondness as, ‘I like math because I’m in Algebra Two as a freshman.’ That has nothing to do with being mathematical at all, necessarily. My senior year, my calculus teacher knew I was thinking of becoming a math teacher, so she invited me to support her for my math class that year in one of the freshman math classes with her.

Bethany Lockhart Johnson (09:54):

Wow.

Sarah Strong (09:55):

So I was like a teacher’s aid as a senior. And it was there that I think I started to break down some of my assumptions of what it was to be mathematical and start realizing, I never had the term fraudulent fondness, but realizing that I didn’t fully understand or grasp what mathematics was because the students in her ninth-grade class, I was getting to look at their work <laugh>. I was stamping their warmups, and there [were] so many interesting ideas on there that I had not confronted in my own math journey cuz I was really sucked into my, like, ‘Hey, here is my work. And I checked my answer on the back and it was right.’ I hadn’t seen different ways of thinking about mathematics and my eyes were opened and that made me wanna become a math teacher even more. I’d say throughout college I did a lot of collaborating and working with others and really developed a keen excitement for different ways of thinking about math and then becoming a teacher, I mean that’s the cornucopia, unique and creative math ideas are there in front of your face every day. And so I just thought it was the most fun thing to do. I started in sixth grade, to listen to what the students were saying and their conception of things and try to make sense of their thinking.

Dan Meyer (11:18):

There’s something so joyful from the student’s perspective of experiencing a knowledgeable other as being very curious about what they’re thinking, whether it’s right or wrong, maybe especially if it’s wrong, I just, I think about that and how you’ve been a part of people’s joy in math class from even when you were a math student, as a pretty special bullet on your resume. Thanks for sharing all that. I would love for you to explain to the audience what the ‘Dear math’ assignment is. Would you paint a picture of what the ‘Dear math’ assignment was?

Sarah Strong (11:48):

Yeah, the ‘Dear math’ assignment was birthed out of a project I was designing that was supposed to take this really metaphoric lens toward math identity development. And in right triangle trig, we use the metaphor of shadows to look at the shadows of our math story. And then the 3D geometry was cross sections. Like what are these cross sections, these snapshots of your math story that tell a story. And what I wanted to do in that project, aside from exploring all these math ideas and then applying a metaphoric lens to our own math stories, was I wanted my students to get to identify where they experienced a fracture in their math journey and get to go work with a student in that grade as like, public service <laugh>.

Bethany Lockhart Johnson (12:33):

I got chills when I read that because I was like, ‘Oh my gosh, if I could go back and talk to sixth-grade Bethany, what would I say?’ Right?

Sarah Strong (12:42):

Yeah. And it’s almost like you, for some students I noticed, they had this fixed understanding of themselves as a mathematician from that point forward, from a fourth grader forward.

Bethany Lockhart Johnson (12:55):

Totally.

Sarah Strong (12:55):

And they couldn’t even acknowledge that they had learned mathematics since then. So it’s like, you have to go backward. And actually, in helping some of those students, they were like, ‘Oh, I actually understand fourth-grade math.’ I’m like, ‘Der! You’re doing all of this stuff right now!’ But there was such this, I call it a math trauma, you know, I don’t wanna throw around that word, but it really was, because it was impeding them from moving forward in their math journey. So anyway, I wanted to have a way that we could identify that piece of their story. And then, at the same time, we do project tunings at High Tech High, so before we embark on a semester, we chat with a group of teachers and they tune our projects for us. And a humanities teacher I was with was like, ‘Oh my gosh, I have my students write “Dear Books” letters or something. It’s modeled after that Kobe Bryant, Michael Jordan thing, you should have ’em do ‘Dear math’ letters.’ And I said, ‘Oh my gosh, you’re right, I should.’ So it came from another teacher at my school, and that’s where it kind of started. And during that project, the students wrote their letters, but then we did a lot of analyzing and revising and adding to our stories throughout the semester to explicitly address our evolving understanding of our math identity.

Gigi Butterfield (14:11):

I will say as a student taking part in it, it was very cathartic, and yeah, I remember going back and helping a eighth grader with some of the math they were learning, and I think there’s an element that you touched on, Bethany, of like, oh, when you go back to help someone, you realize they’re so small and they’re just trying their best. And I think with everything in math, it’s very easy to be really hard on yourself and we label other people as good and bad, but before we even get to that, we label ourselves as that. And so in eighth grade, I had labeled myself as bad at math and then I went back and I started helping someone. And the idea of telling this young person that because they were struggling, they were inherently and endemically and forever gonna be bad at math is insane. And so you of course didn’t do that, and you were kind of able to see yourself then in this young person and really heal a lot.

Bethany Lockhart Johnson (15:11):

That’s so beautiful, yeah.

Gigi Butterfield (15:12):

It was pretty amazing. It was one of my favorite things I did in all of high school.

Dan Meyer (15:16):

I’m often guilty of assuming that other subjects have it better than math. I just have a hard time imagining that it would dredge up quite the same catharsis and psychological repair, for some reason math, and there’s some amount of data on this, that math occupies a unique and kind of mythic quality in the mind of students as this really formidable villain in people’s development. You’ve read all kinds of letters from students and I feel like you, when I referred to you as having this data set, like you have, I think, access to the psyches of students who have experienced that, you know, that math trauma, as you put it, Sarah. I wonder, Gigi, since you have the student’s lens there on your classmates as you’re examining those letters, what were some of the themes that popped out to you of why people find math so enormously challenging and hurtful in some ways?

Gigi Butterfield (16:14):

So the themes that Sarah and I found, and then eventually tabulated, end up being the different chapters of the book. So each chapter is an adjective that we saw coming up a lot in students’ letters. So there’s intimidating, hierarchical, useless. Those are some of the negative ones. And then in the back half of the book, we wanted to end on a good note, so we get to the positive ones and there’s, you know, fun, powerful. Paradoxical is even one of them because, like all things, you know, it is. And so I think a lot of the reason that, to reference the title of the book, kids hate math, and to kind of echo what you were saying, Dan, because I do agree in some ways, that other subjects have it easier—like, I am a writer, I love writing, and I think it’s because a lot of other subjects are viewed as less binary than math is. In math, you’re right or you’re wrong, you’re good at it or you’re bad at it, you’re a math person, you’re just born that way, or you’re not. And I don’t think that we view students in that binary manner in a lot of other disciplines. In writing, for instance, there’s a lot of individual work with the teacher that goes on in improving things, or people can have their own style to their writing, their own flair, which I think is fully applicable to mathematics, but we’re not teaching it that way.

Bethany Lockhart Johnson (17:42):

We have a friend of the show, Mandy Janssen. Her book, Rough Draft Math, reminds me of that idea that, I think you put it so beautifully, Gigi, that you’re either right or you’re wrong, right? And how can we create those spaces where it is complex and it is all those things you list.

Sarah Strong (18:00):

I was gonna say, that’s why we actually ended the book on paradoxical, cuz we were like, ‘We’re gonna end on a high note,’ and then we were like, ‘Actually it’s not realistic that everyone would think all these positive things about math all the time.’

Bethany Lockhart Johnson (18:13):

Yeah.

Sarah Strong (18:14):

Nor is it even the goal. It’s actually really a part of the goal, is that we would, like you just said Bethany, be able to hold these feelings together and actually maintain a strong math identity through all of these emotions that come and go and to be grounded and like, ‘I’m a mathematician because I am a creative thinker who asks good questions and makes connections and listens to other people’s ways of thinking and models and all the math practices and all of these things.’

Dan Meyer (18:43):

So I’d love to know the kind of pushback that I imagine some teachers would offer here is that it feels, it has the feel of being non-mathematical, which is to say, it’s not, you know, in my scope and sequence or my chapter list or that kind of thing. And I just wonder how you could, how you might respond to people who’d love to know like, what is the bang for the buck? What am I getting back as a return on this kind of investment?

Sarah Strong (19:02):

I have heard that very critique and I’ve sort of gotten to the point where I’m like, ‘How can I start working with these students without knowing their stories before they’ve arrived to me?’ Like I want to understand them and who they are so I can know them well and then support them on their math journey for this whole year. We’re gonna be together for an hour every day for a whole year. <laugh> We’ve gotta know each other. So I’ve sort of, with students and even from students sometimes, I’ll say, ‘Why are we writing in math class?’ What I usually try to do is offer them my story first. So I have my ‘Dear math’ letter and I read it aloud to them and I share my story with them and ask them, what surprised you? What makes sense? What parts of that did you connect with? And then I’ll say for the next 20 minutes, ‘I’d love to hear your math story. I know it’s sort of unusual to do writing in math class, but this is gonna help me understand you more so that I can be the teacher that you need me to be for the rest of the semester. And I promise you I’m gonna read every single one and really be hearing your voice in my head as we go through the rest of the semester.’

Bethany Lockhart Johnson (20:07):

I’ve definitely had those assignments where I wrote something and maybe poured my heart out and then I had the sense that it was kind of just stuck in a drawer, right?

Sarah Strong (20:15):

Mm-hmm.

Dan Meyer (20:15):

I think there’s something about these ‘Dear math’ letters, at least the ones that you shared in the book, the excerpts you shared in the book, that were vulnerable, that were, like you said Gigi, they were cathartic, right? So even though I wanna champion folks to do this in their classroom, it’s like, as a teacher, whether you’re curious or not, you still wanna handle these folks’ stories with care, right?

Sarah Strong (20:41):

I think I write in the book about how, before I was about to read all the math letters, my heart would start beating fast a little cuz I knew there were gonna be kids in there that hate it <laugh> and I was gonna have to just accept it. But then I thought, well that’s the most important thing for me to hear, cuz it, I’m delusional if I’m not accepting that they have those feelings as they arrive to me every day. I just think, ‘Look, everyone showed up here and they’re happy to learn with me!’ But it also can feel heavy to the teacher. And so I like the ‘handle with care.’ Do something with the letters, confirm to the students that you read them and that you really value it, keep bringing it up, revisit it with them partway through the semester. It’ll impact a lot.

Dan Meyer (21:23):

I’m curious, Gigi, what other experiences you can point to that were the work of mathematics, like through doing the math, where you felt like your relationship was being rehabilitated with mathematics.

Gigi Butterfield (21:36):

I would say one was my senior year, I believe. Sorry, you can correct me if I wrong, but I believe my senior year. So this was also, just to set the scene, height of COVID, virtual learning, perfect setting for kids to love math when there’s chaos going on outside and no one wants to think about it. And Sarah implemented a project about voting systems around the world and throughout history and how voting systems are implemented into our modern day, how they work, the benefits and the drawbacks to different ones. And this was, you know, 2020. So it was during an election and it was so poignant that you couldn’t, as a student, you couldn’t not care about it, you couldn’t not be interested. You were coming to the table with some opinions, some ideas, and then we got to explore those ideas further in that, the end of the project, the sort of final piece, was collaborating with a group to create your own voting system that you thought could solve most of the problems, if not all of the problems that the other voting systems were introducing. So it was so relatable and it was so important that the math that you were learning, the struggle of it, felt worth it. I still remember that math really well because I remember the purpose, I remember all of the applications. And that was an instance where I really remember thinking, ‘Wow, math is powerful. Math is absolutely powerful and is important to me as an individual.’

Dan Meyer (23:31):

What else? Yeah, I’d love to hear another one.

Gigi Butterfield (23:33):

In collaborating with other students, which, at High Tech High, we did every day, and consistently with different people. And in doing that collaborating, it was really eye-opening to learn how many different skillsets there are within the discipline of mathematics. Because coming into this high school math classroom with that unfortunate binary thinking of, there’s good and there’s bad, one great way to disrupt that is to work with a lot of different people. And then you learn that people can be good at a lot of different things. There can be people that are fantastic at asking questions to understand the context more deeply. There can be people that are so great at creating tables and organizing thoughts. There can be people that are amazing at being skeptical of an answer, it seems like we’ve all come to a consensus and they say, ‘Wait, that might not be quite right.’ Or, ‘How did you get there?’ And it really makes you think deeper as a mathematician. And that’s something that I’ve really loved and cherished about math as well.

Bethany Lockhart Johnson (24:36):

At one point, you reference a lot of different students, and I love going on the journey with them. And I’m remembering at one point, you talk about a student named Zelma who said she was bad at math, and then how she had all of these, and you say, ‘reference points to support her claim.’ And that phrase just stuck with me. How do you begin helping students speak back to that evidence? Because that evidence can be powerful.

Sarah Strong (25:05):

Yeah, I’m glad you brought up Zelma, cuz I thought her story was particularly poignant and it’s told at the beginning of the Hierarchy chapter and, maybe it’s obvious to people, but this chapter theme was maybe, statistically, the most prevalent in letters, this notion that students are always talking about how they were ahead or behind or not where they should be compared to either their perception, mostly their perception of everyone else. And we did a focus group on this chapter with a group of students and they were saying, ‘Nobody actually ever feels like they’re in the right place. Everyone always feels like they’re somewhere in this hierarchy that’s wrong.’ And I reference some research in there that there’s this pervasive story of a narrow path of math learning that’s sometimes in curriculum or in teacher prep programs or in schools. And it’s one of the biggest problems in terms of helping students form more whole math identities grounded in a lot of different things. But Zelma was referencing that she felt like everyone else thought she was stupid and I was like, ‘Oh my gosh, I’m so shocked. I don’t see you in that way and I’m fairly certain that everyone else in this room doesn’t.’ It seems that she had built that thought of herself a really long time before. What I tried to do was to point out to her ways that I saw her being mathematical myself. But it was almost like she was like, ‘Yeah, yeah, you’re a math teacher, you’re supposed to tell me that.’ And so the intervention that we actually talk about about in that book, in that chapter, is Belongingness Buddies, which is not necessarily something that you would have to do in math class, but I started realizing that in order for students to shift how they saw themselves as mathematicians, they needed to know that I saw them as a mathematician, but also that their peers saw them as mathematically valuable members of the community, authentically, not just like, ‘Eh, my peer told me good job today.’ What Belongingness Buddies did was, they checked in on each other. They were the person, like if you were absent, your Belongingness Buddy is texting you today and saying like, ‘Hey, we missed you in math class today.’ Like all these kinds of things. And I once even had a student FaceTime their person who was on a trip so they could participate in our daily discourse that day. And it just built this idea that we are a community and we actually all need all of us to be here for our community to be whole and functioning. And when one of our members is gone, we reach out to them because we’re not whole without them. Through that the students were able to start developing deeper relationships with each other, in a variety of ways, but also where they were like, ‘Oh, my Belongingness Buddy shared with me a new idea about this math problem and I learned something new.’ Zelma, through working with her Belongingness Buddy, got some more confidence that I couldn’t actually instill in her myself despite my best efforts, that her peers started celebrating her. She was an amazing discussion leader! She was so charismatic and she would be in the front of the room calling on people and connecting their thinking and she was like, the best at that. I started thinking, ‘Oh my gosh, people need to tell her that she’s brilliant and an important member of this community, all these people.’

Bethany Lockhart Johnson (28:29):

And when I think about joy in mathematics, which again is our theme for this season, belonging seems at least like, you wanna feel like you belong in the space. You know, if you’re gonna experience joy, and you don’t feel like you belong, how can you have space for that joy? Right? And it’s really, really beautiful and I think belongingness or feeling like you don’t belong in math class is something that comes up again and again when folks talk about not having joy in math. So the fact that you are calling that out and bringing it into your space, that’s really beautiful. Thank you.

Dan Meyer (29:05):

Overall, this whole interview to me just speaks for how the most transformative work that teachers do as students often winds up transforming the teacher as well. And you’ve just described, and we’ve heard from other guests, Sarah and Gigi, just what this kind of work does on the people who are doing it, whether you’re a teacher or a student. Thank you both so much. The book is called Dear Math, Why Kids Hate Math and What Teachers Can Do about It. We’re so lucky to have had on Sarah Strong and Gigi Butterfield. Thank you both for being here with us and sharing so much knowledge and wisdom.

Bethany Lockhart Johnson (29:33):

Thank you so much for joining us in the Lounge. Thank you.

Sarah Strong (29:36):

Thanks for having us.

Gigi Butterfield (29:38):

Yeah, thank you.

Dan Meyer (29:42):

Wow. That was a very unusual chat for a math podcast for math classes. It was off the beaten path for us, I think, I loved it. I wanna know what you think about it, Bethany.

Bethany Lockhart Johnson (29:52):

I definitely heard of an assignment where you share with the teacher your math autobiography, where you talk about your journey with math. But a ‘Dear math’ letter is a whole ‘nother level. And the thing I loved most about it was the way Sarah was so focused on centering her students’ experiences. I mean, Gigi’s in college, you should have talked to me in college, Dan, I was not that self-reflective! I mean, that was awesome.

Dan Meyer (30:20):

Yeah. Awesome. Same. And I hope to hear from you folks out there in podcast land, if you try this assignment with your students, it doesn’t sound like it needs to take a long, long amount of time. Just some moments to reflect on your relationship with mathematics and to think about what to do next could be really valuable for you and your students. And we would love to hear more about that, how that goes for you and your classes.

Bethany Lockhart Johnson (30:43):

Yeah, and I think also remembering what Sarah said, that the biggest theme was that trust that she built, right? So she didn’t assign it and then stuck it in the drawer. She used it to inform conversations with students. She said even, make sure you at least acknowledge that you’ve read them, you know, they’re sharing something for some of them, something that they’ve never been asked before. And you’re trying to create this relationship, this space for future conversations and you’re building a community. I love it. So thank you, Sarah and Gigi, for being a part of this Math Teacher Lounge convo. We hope that we hear more from you listeners, like Dan said, about how this conversation impacts you and how you might use it in your classroom space.

Dan Meyer (31:33):

Find us @MTLshow on Twitter or the Math Teacher Lounge group on Facebook. And yeah, get in touch and we’d love to hear your own story about mathematics. We’re doing a little bit of a book giveaway also in the Math Teacher Lounge Facebook group. So stop on by and share your story and get entered for a chance to win a book.

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What Sarah Strong says about math teaching

“And during that project, the students wrote their letters, but then we did a lot of analyzing and revising and adding to our stories throughout the semester to like explicitly address our evolving understanding of our math identity.”

– Sarah Strong

Meet the guests

Sarah Strong

Sarah Strong is the co-author of Dear Math. She has taught math and science to grades 6 through 12 at High Tech High in San Diego, and she also works for the High Tech High Graduate School of Education teaching various math pedagogy courses and supporting new math teachers in the organization.

Gigi Butterfield

Gigi Butterfield is the co-author of Dear Math. She is currently a screenwriting major at Loyola Marymount University and a former student of the Gary and Jeri-Ann Jacobs High Tech High in San Diego. She thrives in situations where she can explore math deeply and ask thoughtful questions of her peers and her teachers. Gigi has attended project-based learning schools since the age of five and, even in college, is passionate about how PBL plays an integral role in revitalizing heavily antiquated math pedagogies.

Two women smiling in individual portraits overlaid on a split pastel background, one indoors and one outdoors, each holding a sign that says "Dear Math.
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!

S4 – 02. Bethany and Dan share their math biographies

Promotional graphic for "math teacher lounge," season 4 episode 2, featuring photos and names of math teaching guests Bethany Lockhart and Dan Meyer.

In this episode, co-hosts Bethany Lockhart Johnson and Dan Meyer get personal and share their “math bios”—their early experiences with math and how those experiences turned them into the educators they are today.

Explore more from Math Teacher Lounge by visiting our main page

Download Transcript

Dan Meyer (00:00):

We’re recording. What’s up, everybody. This is Dan Meyer with Math Teacher Lounge.

Bethany Lockhart Johnson (00:08):

And I’m Bethany Lockhart Johnson. We are so excited to be back. Season Four, Episode Two. Hi, Dan.

Dan Meyer (00:16):

Hey, Bethany, how are you doing today?

Bethany Lockhart Johnson (00:18):

I’m so excited to be talking with you! You know, as we record this, our reunion at NCTM is getting closer and closer.

Dan Meyer (00:28):

The NCTM live show is gonna be bonkers. I don’t think people are ready for it. You think you know what we’re about on MTL from listening to us, but the live show is gonna be outta control. You cannot imagine how many clowns and elephants Bethany wants to have at the live show. We’re still—we’re trying to talk her down from like three to one, but we’ll see.

Bethany Lockhart Johnson (00:44):

All I want is the t-shirt cannon. Because I used to go to these baseball games and they would have a t-shirt cannon. And I thought, I wanna operate a t-shirt cannon! So like, if I could be standing on stage aiming t-shirts at people who are jumping up and down requesting a t-shirt? I don’t know. Doesn’t that sound fun?

Dan Meyer (01:01):

Sounds awesome. High point of my college education was catching a t-shirt. No, it was—it was a burrito. It was a burrito cannon. But I think it was just a t-shirt cannon, but it was a burrito cannon. And I caught a burrito at a game and it was probably the most memorable moment of all of college education for me.

Bethany Lockhart Johnson (01:16):

Was the burrito still warm?

Dan Meyer (01:18):

Oh yeah. I think it got—like, I think it might’ve been warm at one point and then it got warmed back up through the muzzle velocity of the cannon. So it was a pretty great system they had going on there. <Laugh> Yeah. <Laugh> Anyway, I’m off topic, but, we’re thrilled to—I’m thrilled to chat with you and we’re thrilled to be listened to by you folks out there in MTL land. In the lounge itself. We got a fun show today.

Bethany Lockhart Johnson (01:40):

So if you listen to Episode One—which if you haven’t, hope you go back and listen to it—if you listen to Season Four, Episode One, you’re gonna hear—we asked Huon, KT, who is this delight of a joyful teacher. We asked her to talk to us about what’s her math bio. And we want to ask all of our guests—like, I wanna go back and ask every single guest we’ve ever had to tell us their math bio.

Dan Meyer (02:06):

Yep.

Bethany Lockhart Johnson (02:06):

Because, while seemingly simple in nature, our students enter our math classroom already having had this relationship with math and these notions about their role in math or what they think about math. And it impacts our school year with them if we’re a teacher. And it impacts our relationship with math as we move through our education and beyond. Right? And I I’m so excited about this question, ’cause I think it also ties into this theme for Season Four, which is joyful math, and diving into “When has math felt joyful? When has it not? Does it feel like—how do we think about how our math bio, our relationship with math, has evolved into a joyful or less joyful place?”

Dan Meyer (02:54):

I get it. And what’s really key here, I think, is that teaching more than other professions is a generational profession. You know what I’m saying? Like, no one is like, “Well, you know, I sold insurance to you and now you’re selling insurance to, you know, my grandkids; that’s amazing!” But people are always posting photos when, like, you teach someone who then becomes a teacher later. Teaching is a generational sort of thing. So the kinds of joyful experiences that we offer or don’t offer students now affect the experiences that students who haven’t even been born yet will have, you know, some 20, 30 years later. That, to me, is a trip. And well-worth exploring, you know, how we got here, mathematically speaking.

Bethany Lockhart Johnson (03:39):

I remember a friend had sent me this image of an assignment that her son got that was asking for their Mathography. They wanted to know about their history of mathematics. And this was their first assignment. And this teacher, I would like to imagine, read them all and used it to inform conversations about students’ relationship with math. And, you know, some of the questions they asked were thinking about whether you consider yourself, quote, unquote, “good at math.” Like “what kind of experiences have you had? What do you like or dislike about math? What is, you know—what do you expect to learn in math this year?” Just asking students to actually pause and examine and reflect on their relationship and then also looking forward to, like, what kind of a classroom community do we wanna create? And I loved that assignment. And yeah, so today’s episode Dan, guess what?

Dan Meyer (04:32):

What’s going on? What’s happening?

Bethany Lockhart Johnson (04:33):

I figured we should ask each other about our math bio.

Dan Meyer (04:39):

I think the people out there would love to know this about us. ‘Cause you know, we’re both awesome. But also what’s really cool here is that like, I don’t know this about you. Like not, not a lot. You know, the folks at Amplify, they kind of assembled me and Bethany together in the same way that record labels assembled pop boy bands, girl bands, that kind of thing, back in the day. You know, grabbing some stars from screen or film and just like throwing ’em together and saying, “All right, now you’re here to perform together.” And so it’s just a really good moment for us to, like, settle back and just know who we’ve been working with for the last three seasons and change here. I love it.

Bethany Lockhart Johnson (05:15):

Well, I don’t know. I don’t actually agree with that, Dan. Because don’t you remember? We knew each other beforehand. And while I would like to think of us as…oh, I’ll say One Direction—well, no, One Direction is now defunct. Who’s another band that got formed by one of those shows and is still together and still—

Dan Meyer (05:33):

BTS! K-Pop, you know! Let’s go!

Bethany Lockhart Johnson (05:35):

K-pop. BTS.

Dan Meyer (05:38):

Let’s go, Bethany <laugh>.

Bethany Lockhart Johnson (05:39):

So can we incorporate some K-pop into the NCTM Math Teacher Lounge live episode? Don’t answer now. Don’t answer now. OK. So not only are we gonna share our math bios, but we want to encourage you listeners to share your math bio with somebody in your life. It could be a child in your life, maybe talking to your kiddo about what was it like. What was math like for you? It could be a student that you have. It could be a partner, a friend, a parent. I mean, the sky’s the limit. Share your math bio. And most of all, share with us. We wanna hear about your math bio and you can share it with us at Twitter, at MTLShow, or in our Facebook group, Math Teacher Lounge.

Dan Meyer (06:26):

Stop on by, please. All right. I’m gonna just share like, just a couple of quick, signposts. Not the full bio. Gotta leave them wondering about something here. But here’s a few quick highlights and lowlights of my math bio and how, maybe, it made me the teacher that I was and the educator I am. Is that cool?

Bethany Lockhart Johnson (06:44):

Wait, I didn’t even, I didn’t ask you yet.

Dan Meyer (06:46):

Ask me what?

Bethany Lockhart Johnson (06:47):

Hey, Dan!

Dan Meyer (06:49):

Is there like a magical word? Like, what’s your math bio? <Laugh> Oh, go for it. No, no, that’s right. They won’t know what I’m talking about. Why is he talking about his math bio? Bethany—

Bethany Lockhart Johnson (06:57):

That whole lead-in that we just gave? They might not know.

Dan Meyer (07:00):

Yeah. We just talked about math bios for the last 20 minutes. But yeah, they might not know what we’re—

Bethany Lockhart Johnson (07:04):

<laugh> So Dan, why don’t you go first? ‘Cause I know you were gonna ask me to go first, but why don’t you go first? Dan? What’s your math bio?

Dan Meyer (07:12):

Oh, wow. Well, thank you for the formal invitation to share my math bio, Bethany Lockhart Johnson. So, I’ll just share—I just wanna share a couple items here, not the full history. Gotta leave ’em—leave a little mystery in there, you know what I’m saying? But here’s a few highlights and lowlights, and I think what it means for me as an educator. So, I was homeschooled for eight years. That was big—did a lot of math learning on my own. Couple of lowlights from that, a lot of highlights, in terms of just like being able to, like, learn at my own rate and just jump on ahead and pursue different wacky things. But I tried to switch into public school in fourth grade and I lasted, um, four hours. I didn’t even go to class. I enrolled and then it was like, boom, I was out of there. Because we went to the school; we met the teacher, saw the room, very nice person and place. But I got the homework assignment and the homework assignment was gibberish. I had no idea what to do and such was this feeling of just, like, despair and hopelessness, I was like, I cannot be a part of this. I remember the assignment. It was about identifying scalene, isosceles, and equilateral triangles. I’ll tell you this: I am quite good at that now. But at the time, like, I didn’t know what those words meant. And you know, at that moment we had Encyclopedia Britannica, could not Google this or even Ask Jeeves or AltaVista this so well back then. It just—it was an entry moment of failure and realizing that so much of math is like a, kind of a social kind of construct. And if you’re not part of that social circle, what can you do? So that was a bummer. Another bummer was eighth-grade math, learned it all by way of videotape. You know, put in the tape and watch—not gonna say the person’s name and not this person’s fault—but it was just like watching someone work on a whiteboard. Kind of a precursor to Khan Academy, kind of a drag. Went to high school—

Bethany Lockhart Johnson (09:02):

Wait, wait, wait, wait. We were—I’m not ready to jump to high school. Wait. Can you pause for just a second?

Dan Meyer (09:06):

Yeah. Rock on.

Bethany Lockhart Johnson (09:07):

I just need you to go back to the triangle thing. So in that moment, what did that mean for you that you had had all these experiences with math and then you encounter math in a completely different sphere, a public school, and it did not have a connection or meaning to you because prior to that, it sounds like it was pretty positive. Right? Explore these things you’re curious about; there’s not, like, a level you need to stick with…

Dan Meyer (09:33):

Yep, yep. Yeah. I think that’s right. Maybe it was a little bit of a classic, like, “Oh, I didn’t have a growth mindset; my mindset was like, ‘Oh, I’m good at math because I am, you know, born that way,’” and all of a sudden, that identity was, you know, thrown into question. And, you know, my foundation was all of a sudden quite shaky. And yeah, that’s—you know, I think I taught a lesson recently where I was like, “Hey, this whole thing with a less-than or equal-to sign and a greater-than or equal-to sign, like what those signs are: it’s just, it’s language. And if it’s confusing to you, it’s not because you’re bad at math; it’s ’cause language is oftentimes confusing ’cause people have to agree on it.” So I dunno, that sort of thing is kind of filtered in, filtered back in periodically, some sympathy for like how a lot of math is like just socially agreed upon ways of working with, you know, numbers, shapes, patterns, that kind of thing.

Bethany Lockhart Johnson (10:20):

OK.

Dan Meyer (10:21):

Anyway.

Bethany Lockhart Johnson (10:21):

  1. And in this home school—I have a lot of questions about that, but I’ll stick to one—were you in a community of people that you talked about these math ideas with? Were you homeschooled solo? You have a sibling, so I think you were together, right?

Dan Meyer (10:39):

Yeah. Yeah. I’ve got a twin sister. So we were, you know, like, right on with each other the whole way through there. And yeah, so we had—but it wasn’t, it wasn’t like a—it was a lot of individual work, with my flavor of homeschooling.

Bethany Lockhart Johnson (10:54):

  1. Got it. And the tapes—wait, before you go to high school, the tapes, the VHS tapes, which I’m just loving this image—

Dan Meyer (11:02):

Yeah.

Bethany Lockhart Johnson (11:02):

Was that a positive experience? Was that because that was an area of math that whoever was homeschooling you wasn’t that comfortable with? Why was it that route for the tapes, and what was that? Was that joyful for you?

Dan Meyer (11:15):

Yeah, definitely not joyful. Yeah, it was like, if you had questions, you couldn’t really ask them of the VHS tape. It didn’t work out so well in that way. And it was a lot of operational-type math. It was, you know—there was no give and take; it was all kind of take. From the video teacher. And yeah, I was doing that because my homeschool teacher, my mom, who is very smart in lots of areas, did not have the math knowledge or confidence, especially to help with math at eighth grade. And that was a big reason why, flash-forward to the next year, went to high school.

Bethany Lockhart Johnson (11:48):

Nice segue. OK.

Dan Meyer (11:50):

<laugh> You caught up to high school…I encountered just like four years of just crazy-good, just bonkers-good math teachers who just really changed a lot for me. Especially, Mr. Bishop and Mr. Cavender, very cool folks who did a lot. And especially, I think Mr. Bishop and Cavender both modeled for me what curiosity from a knowledgeable adult looks like. Like someone who, you know, now I can say to myself, “Oh, they were kind of like putting on an act of being very curious about answers they were hearing for the 2000th time from a student,” let’s say, but what a powerful experience that was for me to feel like, “Oh, wow, my thoughts are interesting to someone besides myself.” I got like, maybe it’s two real highlights that I’ll just point to, from my math bio that made me the math teacher and person that I am. Let’s see here. Maybe three, if you you’ll indulge me. One is just like the idea that you could do math wherever you have your brain, a pencil and a paper. And so I remember like in high school, I was in church with my family and kind of a little bit bored of whatever’s going on. And I just had the Bolton and I like drew a pentagon, a regular one, then a hexagon, a regular one, and kept on drawing, like adding sides to the shape. And it was like, it was becoming a circle. And, you know, I was able to take the area of each of those shapes and say, you know, “What happens as you send the number of sides to infinity?” And watch as the formula for area of a circle, Pi R squared, popped out. And it was kind of a literal religious experience, in that moment, just like, “Wow, like my brain’s so cool and math is so cool and paper and pencil’s so cool.” And so there’s that. Just that kind of experience was pretty awesome. And then I would just say like, I’ve had some really fantastic experiences with math in the world itself. Stuff like—let’s see, this is gonna invite more questions from Bethany, probably, maybe I should avoid—I got, I have a Guinness—I have a Guinness world record that’s almost 20 years old. This Guinness world record is—it’s old enough to drive basically at this point. And almost old enough to drink. But like it was—it was a record for chaining the longest paper clip chain together in 24 hours. And the only way I was able to break that record was through mathematics. Where, like, I would be finishing a box of clips. And I would say to my buddy who was there, “I just finished a box of clips.” And that person would type in the number of clips that I had just done. And then a mathematical formula that I had created would tell me how many—how long the chain was at that point. It was being rolled around a spool. And like, it’s just like, wow. So math just made this possible. You know, math revealed that the record I was trying to beat was beatable, because I did the math on it. It was, like, thousands of feet long in 24 hours. And other folks might be like, “Oh, like, that’s that’s huge!” But me, I was like, “All right, let’s divide this out. You know, divide by 24 hours in a day, divide by 60 minutes an hour, 60 seconds in a minute. Oh, that’s like one clip every four seconds. That’s really slow.” You know, think about that <counts aloud>, “Clip, two, three, four. Clip two, three…” It was just slow. So math helped me, you know, wreck that record. Which to my knowledge still still stands. Don’t get any ideas, Math Teacher Lounge Folks! Is this news to you, Bethany? You haven’t blinked in the last, like, five minutes. I’m curious if this is new.

Bethany Lockhart Johnson (15:20):

It is news to me. And I have so many questions. Because OK, if four seconds was slow, so then what was your like—so then I’m assuming a hundred clips per box? Like, what was the rate, you know, per box? How long did it take you to complete a box? What did this friend like? Did this friend stick with you for the whole 24 hours? Did you really do it for 24 hours? Or once you beat the record, did you rest? How did you account for biological function? Like, needs? Like a restroom?

Dan Meyer (15:51):

<Interrupting> Like what?

Bethany Lockhart Johnson (15:51):

Eating.

Dan Meyer (15:51):

Like what, Bethany? OK.

Bethany Lockhart Johnson (15:52):

Um, Sleep.

Dan Meyer (15:55):

So yeah, maybe we dive into some of the specifics in a different time.

Bethany Lockhart Johnson (15:59):

Just tell me one of ’em. Tell me one.

Dan Meyer (15:59):

I’ll just say. So as to discourage other Math Teacher Lounge listeners from taking this on—back off of the record, folks!—this was back in college, so I was a little more limber back then. But I did one—I think it was 1.8 seconds per clip. For an entire 24 hours. Just like, so just like think about it, would you? If you’re gonna step to me on this one, just think about that, OK? And then, and then, you know, make an informed decision.

Bethany Lockhart Johnson (16:28):

Wait. Wait, wait, I just wanna tell you one thing. I’m picturing somebody with a straw, and like, giving you water as you keep clipping. I’m picturing, like, music, I…

Dan Meyer (16:37):

That’s not far. That’s not far. That’s not far from—yeah.

Bethany Lockhart Johnson (16:40):

So many questions! OK. Go on. Sorry, sorry, sorry. Go on. This is your bio.

Dan Meyer (16:44):

We gotta, I gotta wrap this up. I wanna hear your bio. But, like, I would just say like this move to this sense that math is actually a thing that’s useful for more than just a grade; it’s useful for more than just, you know, the societal, you know, adulation that comes from being a math nerd. That kind of thing. And so that, I think that affected a lot of math teaching for me. And, if I gotta, like, summarize math teaching itself in a journey, it went from like, “Hey kids, aren’t I awesome?” to, “Hey kids, isn’t math awesome?” to “Hey kids, aren’t you awesome?” And like that journey was facilitated by lots and lots of people, you know, a lot of personal growth, but at this point, at one point I was like, “Hey, math can help you get records and whatnot. It’s really useful.” And now I’m like, “Wow, your brain’s just doing just really interesting things. I can help you understand how interesting those things are, and maybe make them more interesting, or interesting in a different way, with some help here.” Let’s put a pin in that. That’s the math bio.

Bethany Lockhart Johnson (17:50):

  1. So I have no doubt that if you ask someone in your life, listeners, for their math bio, that you will discover things about them that you never knew. Literally the questions that I have…I have so many question. And Dan is very good at, you know, bringing me back. Bring me back, like, come on, come on. But I just wanna say, overall, your journey seems pretty joyful. It seems pretty joyful. It seems pretty full of confidence. I don’t wanna say “ego” in a negative way, but I wanna say you were buoyed by these experiences that allowed you to feel like math was a place for you to thrive.

Dan Meyer (18:36):

Right.

Bethany Lockhart Johnson (18:36):

Where you could try out things. You could try it out and just, “I could do that!” Right? Like…your relationship just felt very, like…you felt like you had autonomy, agency, perhaps much like you, you operate in this world. Dan, is that, is that right <laugh>?

Dan Meyer (18:54):

Yeah, I think it’s fair to say. And without telling too much of her story, my twin sister with whom I share most things, including genetics, you know—she had a very different experience in math early on. She’s brilliant. She’s a doctor. And not, you know, the book kind of doctor that I am, but like a real, you know, medical doctor. She’s brilliant. But we were—we encountered different messages about who math was made for, early on in, you know, in our entire math learning. And she—we both digested the messages that we were sent, and took, you know, different, different paths because of them, for sure.

Bethany Lockhart Johnson (19:31):

Funny how that works. I thank you, Dan. I do. For in all sincerity, I appreciate you sharing that. And I think that it’s exciting to hear how it influenced your teaching. It feels like you want to cultivate those experiences for your students. And I’ve been in the room when you’ve presented; I was in a room where you taught a class live. It felt like you were making space for the students to have these aha moments. And it feels like in your work at Desmos, and now Amplify, you’re trying to create these products that allow folks to recreate these amazing math moments. Right? And that it’s for everyone and that it’s accessible and it can be very positive. I feel like I have this new perspective on kind of the energy you bring to your teaching. So thank you for sharing that.

Dan Meyer (20:24):

Yeah. Been a pleasure. Thanks for your questions here, Bethany. And it’s been—it’s been fun to reflect on it. And I do—I do feel very lucky in lots of ways. Privileged. Lucky. I know, like—I think the world has been set up for my success in lots of ways, as who I am. But I do just…yeah, I feel—I want more people to experience what it’s like when you walk into a math classroom and it’s like, “Hey, this place is for you. You have interesting thoughts about this. Let’s get ’em out.” So that’s awesome. I would love to hear about you and how you…I mean, we have taught different kinds of kids. You know, I taught kids who I think were somewhat set in, they’re a little bit more solid at secondary in who they are as a math learner. Like “I know who math is and who I am with math.” And I’m really excited to hear what your math bio allowed you to do with students who were perhaps open to the idea that they are very mathematical or at least not yet closed off to those possibilities. So, yeah. What are some of the high, the, you know, the high and low water marks of the making of Bethany Lockhart Johnson, math teacher? <Laugh>

Bethany Lockhart Johnson (21:24):

Thanks for asking, Dan. <Laugh> I’ve shared aspects of my math bio because I think it really informs the way that I talk to people about math and think about math. And I like to share it because I want folks to consider their own journey with math, as we like engage with problem-solving and sense-making and thinking about the students in our classroom. My dad is a math and computer science major. So he had a computer very early on. I wish he had invested in Apple early on when he had like one of the first Apple computers ever. And, sorry, dad, but it’s true. I do wish you had done that.

Dan Meyer (22:10):

I’m sure he does too.

Bethany Lockhart Johnson (22:11):

Oh, he does. So math and computers and conversations about counting, you know, it felt like it was kind of just normal. Like it was around me. And I went to Montessori, which is a private school that—oh, they have some public Montessori—but it’s very self-directed. And so we would have these kind of charts, these goals for the day that you explored. And so we would explore math in very, I don’t know, very organic ways, with these natural materials. And I feel like I excelled at math, but it wasn’t something that I was conscious of. It was just like, “Oh, well, yeah. Math, it’s, you know, something we do.” And then when I went to—when I left Montessori in fourth grade, I remember that year being a lot of like repetition. I was like, well, we did this. We covered this. And except for the mission project that we hadn’t done, that was all new. And that’s it. For another time I’ll share about that. But <laugh> then, they actually, I was moved with a group of students to the fifth grade math class, ’cause we had already done the work that we were doing. And so, it wasn’t that it felt like it came easily, but it did make sense. What we were doing made sense. And then it all kind of changed. There was a lot of change in my family. There was, like, missed school time. And we moved and I went to a new middle school and I was in this environment with students who—it was like an accelerated program. And so I was in this environment with students who were pretty competitive with each other. And I remember going—and I was not from of a competitive environment; like Montessori is not competitive. It’s not about that.

Dan Meyer (24:02):

Right. Right.

Bethany Lockhart Johnson (24:02):

It’s—it was very strange to me that I would be competing against anyone, even competing against myself. And I, you know, knew how to set goals. But it was a different level of energy. And I felt like, because I wasn’t competitive in that nature, I felt like that kind—I felt on the outside of a lot of the energy. Besides the regular, like, middle-school feeling outside of things. And I remember the first friend that I made. Hi, Susan! She had said to me, this was like maybe our second week of school, she’s like, “Oh, at lunchtime, come with me to math club.” And I was like, “OK.” And I remember walking into that room and I had no idea what was going on. And so that was one of the first times where I was just like, “Whoa, I have absolutely no concept of what they’re talking about or what.” These are my peers. I felt very—it was very—it was strange. It was strange. I was like, “This doesn’t feel like a space for me at all.” When I think ordinarily I was kind of excited about the idea of going to math club at lunch, you know? And over middle school, I kind of just got progressively more and more behind. It started with missing some work and then missing more and then checking out. And, you know, the problem was that I really made it about myself. That, like, it wasn’t something that I was then good at or could do. When really it was that well, pre-algebra, I was having a really hard time in like the rest of my life. And so I wasn’t real present in that class. And so when I got to algebra, it didn’t make a whole lot of sense. And then if I missed Monday, Tuesday, and Wednesday, well, Thursday is gonna be hard, you know? And, it just got progressively harder and harder. So I had this great idea that between eighth grade and ninth grade, I was going to take this accelerated geometry class. ‘Cause that was the ninth grade class, it was geometry. And I would take it. It was like geometry in three weeks or something. So then when I entered high school, I would’ve gotten this like jumpstart. But I wish I had said, “Oh, I’ll take this, and then in ninth grade I’ll take geometry.” So like I’ve already kind of gotten a preview of the material. But instead I went to the 10th grade math, which was like intermediate algebra, trigonometry. I had absolutely no clue what was going on. And I had a very, very difficult time and I wasn’t ready for that class. But it was exacerbated by the fact that this teacher felt very free to let the freshmen in that class know that they shouldn’t be in that class. That this class was for 10th graders.

Dan Meyer (26:49):

Oh wow. Oh, wow.

Bethany Lockhart Johnson (26:51):

And we had a rather contentious relationship. And I will never forget that we were in the hallway, and he says to me, “You don’t belong here.” And I’ve talked to—I’ve talked to a girlfriend of mine about her experiences with this teacher and she has the fondest memories.

Dan Meyer (27:13):

Wow.

Bethany Lockhart Johnson (27:14):

She—in fact, almost everyone I’ve spoken with, you know, if we are talking about past teachers or, “Oh, what was that class like?” I mean, they just have these wonderful memories! And for me, my sense of like belonging was already so on a tight rope anyway, that to have this adult, this teacher, tell me, “You do not belong here,” just crushed me. And in hindsight, I think he was saying like, “This class is too hard for you.” I mean, maybe. <Laugh> But all I heard was “You don’t belong here.” And I extrapolated it to connect to math and to anything having to do with math in general. And it just got worse and worse through high school in the world of math. My next math class was even—I had to repeat that class, and still didn’t understand what was going on, and felt more out of place, and, you know, it’s one of those things that I just kind of had started to accept that, I guess, math isn’t for me. I guess I’m just not a math person. Or whatever these stories are that I started to create and build and find evidence for around me that was informing that this wasn’t for me. And I had always done well in school. I was in, you know, accelerated classes. I felt like I was capable of problem solving. And yet in math, I just felt like I had all of this evidence saying that I didn’t belong there. And so when I went to college, I took whatever two math classes were—you know, I was in performing arts and then I did ethnic studies as well. And I remember you had to take two math classes that were GEs. There were these classes that if you don’t wanna deal with math, you go take those classes. And I was like, “Oh yeah, I’ll take that. I’ll take that.” The gulf widened, you know? <Laugh> And I didn’t feel like anxiety when I had to do things like balance my checkbook or navigate math in everyday spaces. It was just, it would never occur to me that I would like seek out opportunities to engage with math or think about it or talk about it.

Dan Meyer (29:35):

That is—yeah, that’s just so wild, how, I don’t know, like it’s often, from the student’s perspective, it is them in a vacuum with math, and the two of them interact and decide if, you know, if they’re right for each other. But from the grown-up perspective, it’s just, you know, it’s a little bit clearer that your story with math was not just you in math, but you with, you know, various external things happening. With family, various teachers playing their different roles—sometimes, you know, really tragic and horrible roles—and then like the compounding mathematical debt that it feels like you were kind of building up, as challenges in one year didn’t get resolved and moved into the next year and so on. And all that makes me wonder—it makes me, like really, really scared, first of all, because I would bet that your teacher might not even remember that moment, that for you is part of just a pivotal moment in your math story, and how many kids have I played—have I been a part of their story in that way and wouldn’t even recall? You know what I’m saying? So that’s a scary part. And then also I’m just wondering, like, how can we, how can we help kids who are in those moments recognize that, “Oh, this kid is like absent a bunch,” and give them more resources to be successful rather than say, “Well, you just gotta try harder now.” Those are things I’m wondering, hearing your story. Thank you for sharing that. I’d love to know more about how you then became a teacher and what all that did for you as you helped students.

Bethany Lockhart Johnson (31:06):

Well, but to answer what you were saying, it wasn’t that I wasn’t—I was always absent physically, but at least like mentally at that point, because it had become so difficult. It didn’t make sense to me. So I was just really checked out in math class, you know? So in hindsight, you know, as a teacher, for sure I can look back, and especially hearing these stories and these experiences my friend had with this teacher and just like chalks up as one of like her most favorite teachers ever! And you know, he clearly did a great job for so many students. But for me, and I think for some people, they would’ve taken those challenges and, you know, it would have fortified them in a different way or something. But for me, I took it upon myself to mean certain things about myself and about my ability and what I was capable of. And so I think, I think in some ways, you know, yeah, it’s all, it’s all interconnected. You know, when your students walk in the door, they’re not this—the things that are impacting them in their life are coming into the room with them. And I don’t think we can take that for granted and think, “Well, if they just focus hard enough…”

Dan Meyer (32:21):

Yeah.

Bethany Lockhart Johnson (32:23):

So let’s go back to my love of Oprah. You know, Oprah talks about living your best life. And something I really appreciate about Oprah is that she encourages you to examine, like, sticking points, right? Like she doesn’t just say, “Well, this…just pretend nothing ever happened, and everything’s fine!” You know, she really talks about making time for reflection. And I kind of got mad that anytime I thought about math, or math schooling came up. Or, you know, whatever, any time that came up that I just felt UGH about it. And I felt like a failure. And I’m like, “You know what, what if I took a math class? And I’m an adult at this point. I’ve graduated. I have—I’ve left college. I have my degrees. But I said, “What if I took a math class?” So I went down to, the city college and I found out that you have to take this exam, like a placement exam. And I went and took the placement exam. And I remember it’s one of the responsive tests where if you get it right, the next question’s a little harder. And so I’m taking it, panicking, because it’s getting more like…I just, you know. And I remember it placed me in like, whatever, Algebra Something, this class that was far more advanced than I thought I should be in. And I was like, there’s been a mistake! You know, and I went to the counselor and said, you know, “I got these results, but I couldn’t answer a lot of the questions on the test.” She’s like, “No, no, no, that’s how it works.” So I go take this class and the class was hard. And I decided that I was just gonna keep showing up. And every day before class, I kid you not, they had a little math…it was like a math center where you could go in and they had a bunch of tables and you’d sit at the table and you could sit and do your work or whatever. If you had a question, you walked up and put your name on a clipboard and then somebody would come and help you. So I did that, every single—like before every single class I would go in. I’d sit there. I’d do the work. I’d go. And I’d get help. Like somebody would walk over and you know, some kid for whom they’re like this…you know, they’re math—it might be you, Dan! It could be you! It could have been you! You know, would walk over and be like—

Dan Meyer (34:38):

Yeah, I was in Help like that. Naw, it’s awesome. Love, love those people. Yeah.

Bethany Lockhart Johnson (34:42):

And you know, I did it. And I did so well in the class. I did exceedingly well in the class. And I said—

Dan Meyer (34:50):

Take that! Take that, everything! Every other math experience!

Bethany Lockhart Johnson (34:53):

I said, what?

Dan Meyer (34:55):

Yeah!

Bethany Lockhart Johnson (34:55):

Wait a second.

Dan Meyer (34:56):

Yeah.

Bethany Lockhart Johnson (34:57):

And it was that I was present. I was not afraid to look at what didn’t make sense. And if something didn’t make sense, it didn’t mean there was something wrong with me. Whaaaaat?

Dan Meyer (35:10):

Yeah. Yeah.

Bethany Lockhart Johnson (35:10):

So I was just in such a different space. And then I took another math class and that class was even harder. And I did the same thing where I went to the little lab and, you know, and it just buoyed me. And it made me realize that, like, this story, that my experience with it was very powerful and that was a real lived experience, but that it didn’t have to define my relationship with math. But then! I decided I wanted to go back to school to become a classroom teacher. And I totally—this was a couple years after that math class experience. So now, you know, I’m healing my relationship with math through basic positive experiences, da, da, da, you know, doing other work. But fast-forward, for a whole number of reasons, decided to become a classroom teacher. And I freaked out. All of my—like, I’m studying for the GRE and the CSET and all the things you have to the hoops you have to jump through to apply to the masters program and the credential program. And I freaked out. I was so close to quitting, Dan. Because I was convinced that the reason I couldn’t be a classroom teacher is because I wasn’t capable in math. Like I was—it was all that resurfaced. And even though I now had evidence to say something different, to the contrary, it was still so visceral. And I was so scared. But I passed that Math CSET.

Dan Meyer (36:47):

Get it.

Bethany Lockhart Johnson (36:47):

I did well enough on the GRE—

Bethany Lockhart Johnson (36:50):

Yes!

Bethany Lockhart Johnson (36:50):

You know, I finished my credential. I worked really, really hard. I had to work so hard in my student placement, when I was student teaching for a fifth-grade class, ’cause I felt like, “Oh my God!” I mean, now I could do the mathematics, but I couldn’t TEACH it to someone, you know? But I had amazing professors at UCI, and my math professors really like just—and my mentor teacher! shout out to Jennifer! shout out to Phil!—these amazing mentor teachers who just loved teaching and who loved—like you said, you have these teachers in your life who you got to see the way that they listened to students. They taught me about that love of listening to students. And then I fell in love with, you know, CGI, cognitively guided instruction, and started learning all about all of these educators who just wanna learn from students’ thinking. And it was just so powerful. And I realize as a kindergarten teacher that I have this really special role in helping to create space for a positive school experience. Like we get to talk about—I talk about my students as mathematicians; they’re writers; they’re thinkers; they’re problem-solvers. And I also want to make space for parents. Some of them, this is their first kid in kindergarten, and they brought all of their experiences, a lot of it negative, that they had had with mathematics. So I felt like it was such an exciting opportunity to help show parents how they could have conversations about math with their students. That also, I hope helped heal their own anxiety with mathematics.

Dan Meyer (38:41):

Right, right.

Bethany Lockhart Johnson (38:42):

Like, I’ve not even scratched the surface of math learning. But I just have such a changed perspective and relationship with math. And I just fell in love with the sense-making. And I fell in love with the journey of it. I still experience math anxiety about a wide variety of things, but I do love it. And I feel like there’s a space for me in relationship with math. And that really excites me.

Dan Meyer (39:09):

Yeah. Wow. Listen to that folks. We, we don’t deserve her! Bethany Lockhart Johnson! She got some math game and could have gone off there and, you know, become an accountant or something. And she chose to hang with kids and their parents. That’s so wild that you’re like rehabbing parents and their self-conception about mathematics at the same time. I think that is so cool.

Bethany Lockhart Johnson (39:32):

Well, thanks Dan Meyer. I gotta tell you, I don’t know when or if I’ve ever shared that much of my math story. So there is a certain amount of vulnerability there. But thanks for listening. And I’m glad that, you know—I think there’s space for us to talk about these things that we care deeply about, but that can be really complicated.

Dan Meyer (39:56):

Yes. Yes. And I love how you you’ve really sharpened the point on what I feel like I know in my brain, but not my body all the time: That individual teachers are huge. Like, individual teachers, and individual moments of teaching, are just not something to play with. You know, like that kid that’s in fifth grade having a tough time, like there could be a month or a day-long period where all of a sudden, like, you’re just like, “Oh yeah, I’m back in the mix; like, me and math are still buddies.” And there’s also like moments that you had, where like one casual word from a teacher can just really put a huge wedge between you and a discipline that needs and wants you and your intellect in it.That’s a really powerful testimonial. Not just for math, but for teaching, your teaching bio.

Bethany Lockhart Johnson (40:43):

I agree with you. And I also, I also…you know, I think we can’t put this—we are human. Teachers are human. And so I’m sure there’s things I’ve said to students. Twenty-second story: a student stapled his finger in my class. <Laugh> And I remember holding his hand and saying, “Why did you do that?” And I wasn’t yelling at him, but it was like, I am sure the panic in my face…like, that’s what he’s gonna remember about kindergarten. Right? <Laugh>.

Dan Meyer (41:19):

Yeah.

Bethany Lockhart Johnson (41:20):

That. He will remember that. He won’t remember the really cool city project we did. He’s gonna remember his teacher holding his hand, in his face: “Why did you do that?”

Dan Meyer (41:30):

Yeah. Yeah.

Bethany Lockhart Johnson (41:30):

You know, so we’re human. And yes, it was awful that that teacher said that to me. There were a thousand other ways that he could have said whatever it was he was thinking. And that did deeply wound me. But despite his influence—because teachers do have a lot of power and I think they need to examine that power, ongoing—it still doesn’t have to define us. So I don’t wanna put this pressure, like—

Bethany Lockhart Johnson (41:55):

Sure.

Bethany Lockhart Johnson (41:56):

“So never ever say anything negative!” You know, we’re human.

Dan Meyer (42:00):

I feel like that kid is currently on some office-supply podcast talking about “your office-supply bio” and saying, “Let me tell you how I first got really freaked out by staples. Here’s the deal: I only use paper clips. And here’s why.”

Bethany Lockhart Johnson (42:15):

“Here’s why.” But then—callback!—he’s going to stumble upon THIS podcast and think, “And because I’m so adept with paper clips, I can beat that record!”

Dan Meyer (42:30):

Though—aaay! whoa! Settle down!

Bethany Lockhart Johnson (42:31):

BOOM.

Dan Meyer (42:31):

Don’t get any ideas, kid. No way. Uh-uh. I don’t like that at all. That’s not what—that’s not what I want to have happen here. No, thank you.

Bethany Lockhart Johnson (42:41):

Well, I’m spent, Dan. I need a nap.

Dan Meyer (42:45):

Yeah. I need a box of Kleenex. I need a nap. I need a—yeah, for sure, a baba. Uh-huh. Definitely. Hey, so look, I’m not expecting you folks out there in the lounge to kind of give us the same depth or breadth. You know, we are here, of course, for your entertainment. Feast on our stories and dramas. But I would love to know at some point, like, what are a few, a few moments that really came to define you mathematically? Came to influence you as a teacher? I think we would do really well for each other to understand that about all of our processes. So yeah, I would just toss in a plug in for Twitter, @MTLShow, or Facebook, Math Teacher Lounge; it would be fantastic to hear from you.

Bethany Lockhart Johnson (43:24):

Thanks so much for listening.

Dan Meyer (43:25):

Thanks, folks. Bye now.

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What Dan Meyer says about math teaching

“Teaching, more than other professions, is a generational profession. The kinds of joyful experiences we offer, or don’t offer, now affect the experiences students that haven’t even been born yet will have years later.”

– Dan Meyer

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!

S5-03. Cultivating a joy of learning with Sesame Workshop

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Listen as we chat with Dr. Rosemarie Truglio, senior vice president of curriculum and content for Sesame Workshop! Continuing our theme of math anxiety this season, we sat down with Dr. Truglio to chat about Sesame Street and her thoughts on how to spread a growth mindset to young children and put them on course to academic achievement and long-term success.
 
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. Rosemarie Truglio (00:00):
Children don’t come with this math anxiety. Math anxiety is learned.

Bethany Lockhart Johnson (00:07):
Welcome back to Math Teacher Lounge. I’m Bethany Lockhart Johnson.

Dan Meyer (00:11):
And I’m Dan Meyer.

Bethany Lockhart Johnson (00:12):
Hello, Dan Meyer.

Dan Meyer (00:14):
Great to see you, Bethany. We are on episode three. Can you believe it?

Bethany Lockhart Johnson (00:18):
So, I feel like we’ve just started scratching the surface about math anxiety. We’ve talked to two amazing researchers. We’ve talked about what math anxiety is, how it’s often screened for some of the causes, some of the consequences … I mean, we’ve had some good conversations. Dan, what do you think?

Dan Meyer (00:38):
Definitely, I think that the consequences have only grown more dire in my head. I’m not sure how you feel about the consequences. But, you know, it is enough for me that we ask students to take mathematics for much of their childhoods, to worry about their anxiety, taking that. But to hear about from these researchers about all the different things that correlate with math achievement and math anxiety—talking about future careers, certainly, but even some other, more serious lifelong concerns? That gives me a lot of motivation to continue this study of math anxiety here with you on the show.

Bethany Lockhart Johnson (01:14):
It is really widespread. It has a big impact, not only on students, but on parents, on educators. You know, it’s—

Dan Meyer (01:23):
Multi-generational.

Bethany Lockhart Johnson (01:25):
Yes. And you know, so often when folks think of math anxiety, what I hear them say is, “Oh, yeah, in high school is when math really ramps up. That’s when anxiety starts.” But we know that it starts in our youngest learners. And our research has already backed that up. We know it. I’ve seen it in my classroom. You may have seen it with some students you work with. And let me tell you, it starts young.

Dan Meyer (01:52):
It does start early. Right now, I have a son that’s just started kindergarten, and he seems relatively math-positive, but we’ve known from our interviews on this show and other kinds of experiences that oftentimes, that feeling —that math is for me, and I am for math, and we are all friends — can turn on a single moment. It seems like one teacher says a thing that changes a student’s perception of themselves as a mathematician or of math itself. So I keep waiting with bated breath, hoping not to find that one moment that changes our current open posture towards mathematics. So now it’s time to really dive into some strategies for combating math anxiety.

Bethany Lockhart Johnson (02:34):
To help us out, we’ve called on a pretty exciting guest. I am so excited, Dan Meyer! We are being joined by Dr. Rosemarie Truglio. She is Senior Vice President of Curriculum and Content at Sesame Workshop. Sesame Workshop! As in, “Tell me how to get to Sesame Street.” Dan, I have to tell you, I spent many, many hours of my childhood watching Sesame Street. I have to ask, do you have happy Sesame Street memories? Is this part of your formation, Dan Meyer?

Dan Meyer (03:08):
At this point? In my advancing years, and the brain cells that I have left, Sesame Street is really kind of just a vibe in my head. But that vibe is such a pleasant one. One in which like nothing bad could happen. One in which learning is common and normalized and fun. And you just kind of feel at home, constantly.

Bethany Lockhart Johnson (03:33):
I don’t know about the “just the vibe” part, because for me, it is visceral. I’m there. I am actually … I mean, I might still be there.

Dan Meyer (03:42):
You could reenact some of the skits?

Bethany Lockhart Johnson (03:44):
. You didn’t watch Sesame Street with your kiddos when they were younger?

Dan Meyer (03:49):
We watched a lot of Elmo. A lot of Elmo. Yeah.

Bethany Lockhart Johnson (03:52):
Next-generation Sesame Street. Well, I think it’s so perfect that we’re gonna be talking about what Sesame Workshop does to help combat math anxiety and create a positive connection and relationship with mathematics. So I’m really excited to hear what Dr. Truglio and her team have been working on. And here’s our conversation with Dr. Truglio.

Dan Meyer (04:15):
Welcome to the show, Dr. Truglio. It is an honor.

Dr. Rosemarie Truglio (04:18):
Great to be here. Thank you for inviting me.

Dan Meyer (04:20):
You are Senior Vice President of Curriculum and Content at Sesame Workshop, which definitely sounds like the coolest job in the world to both four-year-old me and also Now me. Would you just help us help us with some backstory of how you ended up here, and what you do at Sesame Workshop?

Dr. Rosemarie Truglio (04:38):
Sure. It is a pretty cool job. And I am very fortunate that I’ve been in this position for the past 26 years. So, I am a developmental psychologist, and my job is to help Sesame Workshop identify curriculum needs, so that we could address them in the content that we create on the show and across our various platforms. So, Sesame Street is currently in its 53rd season. And we just, wrapped production for the 54th season, which we’ll debut next fall. And Sesame Street began with an experiment: Can television actually teach children school readiness skills, to have them better prepared for school? Especially those children who did not have access to formal education during the preschool years? And it is what we call a whole-child curriculum, because we’re dealing with all of the school readiness needs. So that that includes the academic needs, their social-emotional needs, and their health needs, as well as what we call these cognitive processing skills—how children learn content. Right? So it’s not just content skills, but how you approach learning and how you actually learn content. So as a grad student, I was fortunate to work at the Center for Research on the Influences of Television on Children. Very special center. It was at the University of Kansas. And my advisors, developmental psychologists, they studied the effects of television on children, both the positive effects and the negative effects. And so part of their research was to actually look at the longterm educational effects of Sesame Street. So I was working with Sesame Street content as a grad student, and then came to New York City. My first job was Assistant Professor at Teachers College, Columbia University. And when this position became available, Director of Research at the time, it was called, I took that job. And so my job was to oversee both the curriculum and the implementation of the curriculum, as well as the research. Because what we know, our co-founder, Joan Ganz Cooney has always said, for Sesame Street to be a successful educational program, production has to work closely with early childhood educators. They are the ones who know the curriculum and, and develop the curriculum goals, as well as the developmental psychologists who actually study how children are paying attention to the content. But more importantly, what are they comprehending from the content? And we all have to work together. Because even though we are the experts, the real experts are the children themselves. So nothing is deemed final until we actually show the children and see what they are learning from the content that we are producing.

Dan Meyer (07:54):
Are you referring to like, test audiences of kids then?

Dr. Rosemarie Truglio (07:57):
Yeah, I guess you could call it test audiences. I mean, I don’t. I don’t like to call it that because I see them as co-collaborators. I don’t see them as a test audience. Because, as I said, they’re the experts. It’s a collaboration. I mean, they’re the experts. And so I wanna know—

Dan Meyer (08:12):
As collaborators. I got it now. Yeah.

Dr. Rosemarie Truglio (08:14):
They help us. So that’s exactly what we tell the children too. So it’s called formative research. You know, we, we do what we call, um, storybook testing, an animated version of a storybook to have some little movement and see are they finding the story engaging, but more importantly, are they picking up on the intended educational lesson that we’re trying to teach in the story. So they are co-collaborators. they’re the ones who are helping us get the story just right for them.

Dan Meyer (08:46):
That’s really exciting, and makes me think about what classes might be like if students were regarded in that kind of lens as well. I just wanna say that my four-year-old self is on this interview as well, and is re-contextualizing all the stuff I saw as a kid. And it just felt like, at the time, you folks turned the camera on and went down to the street and we just had this real natural time. And it’s great to hear about all the intense preparation and co-construction at work and work that went into that time. Yeah,

Dr. Rosemarie Truglio (09:12):
It’s about a year preparation from start to finish. From the start of identifying, “What is the educational need? Is it an academic need? Is it a social-emotional need? Is it a health need? Is it a cognitive-processing need?” And then once we have the need identified, we have what we call a curriculum seminar. We bring in the experts who are studying this topic with preschoolers, because we wanna get it, we wanna get it right.

Bethany Lockhart Johnson (09:41):
Which, by the way, little behind the scenes: How often do you get to go to set?

Dr. Rosemarie Truglio (09:46):
So we’re in a production probably about six weeks out of the year. Covid really messed things up. ‘Cause we have to be really—we have very strict Covid protocols, but there is someone on my team—and sometimes we have to, you know, rotate for availability—but there’s always an educator on set.

Bethany Lockhart Johnson (10:06):
Awesome.

Dr. Rosemarie Truglio (10:07):
Because even though you stick to the script, questions arise; they wanna make changes; sometimes they have to cut; things are running too long and they have to cut and we gotta figure out where to cut. So there’s always an educator on set.

Bethany Lockhart Johnson (10:19):
But sometimes you go and have lunch, like—.

Dr. Rosemarie Truglio (10:21):
Oh, I go, yes. Sometimes I go—

Bethany Lockhart Johnson (10:23):
And just hang out with Big Bird, right?

Dr. Rosemarie Truglio (10:24):
Sometimes I go hang out with Big Bird. No, those are my friends!

Bethany Lockhart Johnson (10:27):
They are!

Dr. Rosemarie Truglio (10:28):
No, no, I go hang out with them. They’re my friends. Yes.

Bethany Lockhart Johnson (10:32):
When I think about Sesame Street and I think about … like, I can’t help but smile. Because I think I have such fond memories of the characters. I mean, we invited them, my mom invited them, into our home, right? And, you know, now I have a two-year-old and there’s no doubt that I’m gonna introduce him to Sesame Street. And I see how it really does feel like the folks who are doing this work, you and your team, you have a deep respect for children. So it makes sense that you call your test collaborators “collaborators,” right? They’re a part of it. And you know, I love that. And Sesame Street makes me smile. However, I’m like, we’re talking about math anxiety. And it’s so interesting, because as Dan and I were talking about our memories of Sesame Street … you know, it’s like Sesame Street feels like there’s not much anxiety. I mean, there are problems, and there’s problem solving, and it’s not like everything is perfect. But we figure it out. And it’s OK to make mistakes and it’s OK to try again. And a lot of times, we don’t see that in the math classroom—or at least, how folks talk about math. So, how do you all think about anxiety, about how to prevent it? Like, when you’re doing your work, you know that math anxiety is a real thing. But then that’s not translated in these experiences and the relationships with math that you’re building with your viewers.

Dr. Rosemarie Truglio (12:07):
Yeah, that’s a really good question, because it’s really easy, because our core audience are two- to four-year-olds and they love math. And what’s not to love, right? Because they are figuring the world out as they’re exploring the world. So you said something really interesting, that when you turn on the TV—when you turned on the TV when you were a child, and now you’re a mom of a two-year-old, we wanna make sure that the show represents content that is relevant and meaningful to our target audience. And that comes through with the characters. So all of our characters have very specific personalities, as all children do. And our characters represent all children, in terms of not only personality, but interest and learning styles, ’cause we wanna see—we wanna make sure that children see themselves in these characters. And we have a character who actually loves math. And he’s The Count.

Bethany Lockhart Johnson (13:12):
I’m like, “I know! I know who it is!” I will save you my impression. Although I have done it for my child. But I’ll save our listeners .

Dr. Rosemarie Truglio (13:20):
And you know, he’s an adult character. Some of our characters are preschoolers, like Elmo and Abby—they’re preschoolers—and Zoe. But The Count is an adult. He lives in the castle and he just loves numbers. But what’s really important is while we have The Count to explain—not explain to, but to portray to children, cause we don’t explain anything; we show children that math is more than number, right? Math is a pretty wide concept. Which is what I love about math. And the other thing about math is math language. The language of math. ‘Cause when we’re teaching children vocabulary words, we’re also teaching children the concept. Be it a math concept or a science concept or a social-emotional concept. So children don’t come with this math anxiety. Math anxiety is learned and it’s unfortunate. It’s picked up by their observations of the adults in their lives, who sometimes say out loud, “I don’t like math,” or “Math is hard,” or even worse, “I’m not good at math.” Or may even label it as math anxiety. That word won’t mean anything to a young child. But it then provides a, whaddya call it, like a negative valence for something that they never felt negative about. Because as they’re growing and interacting with the world, math is all around them. And there’s that sense of awe and wonder and joy, especially as they’re learning and they’re figuring it out. So I think we have to reframe math. Instead of saying “math anxiety,” we have to talk about the joy of math and all the wonderful joys that come with the exploration of these math concepts. Number is great. We know kids love numbers. We know that they love to count and use a big word here: enumerate . Because so many parents don’t make this distinction. They’ll say, “Oh, my child is counting!” Well, there’s rote counting, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, which is important. But then it’s like there’s an item for each number. So it’s one Cheerio, two Cheerios. And then as you point to each number, you are then figuring out what the set is, of the number of objects that you have. And then you get at what I love to call the meaningfulness of math. Right? Number has meaning. And as I said, it’s all part of your everyday activities. It’s part of—it’s in your kitchen; you’re following recipes; you’re measuring; you’re weighing. It’s at bath time, right? You could have the sorting of nested cups and you could, you know, and once again, the math language: big, bigger, biggest. These are relational concepts. You could then count what sinks and what floats, if you’re doing science. And then you could put them in two different buckets, and count. These are the items that sunk and these are the items that float. So math and bath time could be a lot of fun. And then there’s math and music. Music is so rich with math, as you talk about rhythm and tempo and dynamics and pitch and duration. That’s all math.

Bethany Lockhart Johnson (16:57):
The way that you talk about it, it is so rich, right? It is so multi-layered. And you know, I’ve shared on the podcast before: I’ve actually had parents in parent-teacher conferences say that, “Well, I wasn’t good at math either,” or “Math’s really not my thing.” And it’s really—it is, it’s rooted in that fear. And so I do see the way that you’re talking about it; I see that come through in Sesame Street. That, in a lot of ways, it’s reeducating parents, right? Because we hope that our caregivers are sitting next to their kiddo and enjoying it together and having conversations about it later. And there’s a way that parents then are also getting their own sense of what math can be, expanded. And I think there’s such a beauty in that. And I love the way that you talk about that, that you really are looking at, “Well, we wanna celebrate counting and the joyfulness of that. And let’s use math talk, you know, and let’s use these words and try out these ideas.” And it’s not because you’re trying to check some list. But you’re really exploring it and having fun together.

Dr. Rosemarie Truglio (18:03):
And you’re embracing it. And you mentioned the word “mistake.” So often when it comes to math, if you make a mistake—you make a mistake in counting or, you know, we’re not doing a lot of math equations on Sesame Street, but that’s when people feel like they can’t do math. ‘Cause they made a mistake. And that’s something that we are trying to address on Sesame Street, that it’s OK to make mistakes and you learn through mistakes. But you have to have—and I’m gonna come up with this other phrase now—you have to have what we call a growth mindset. What that means is that I may not be able to do this yet. Like, it’s called “the power of yet.” So we know that learning any concept, it takes time and practice. And how do we have children embrace the process, right? So often we focus on right and wrong. Now, there is right and wrong with math, of course. You know, there’s a right answer and there’s a wrong answer. But how do we focus, not on the end product, but the process through which you are engaging in? So let’s talk about measurement. Let’s talk about measuring the length and the width or the height of something. You might make some mistakes along the way, but you’re processing it. My son used to make all of these little structures for all his little play animals. Well, you know, he would measure and think he got it right. And then when he put the animals in, of course, you know, either the animal was too wide or it was too tall. And he would have to redo it. But you’re not redoing it from scratch, you’re redoing it now from experience. “I realize that if I’m gonna put the giraffe in with the elephant, I’m gonna need something wide as well as high.” Right? For the length, tall. And that’s process. And then, for children, when they figure it out, that “oops” and “aha”—the “aha” was like, “I did it!” And it’s so empowering, you know, giving them agency—not swooping in and saying, “All right, I’ll fix it for you. You know, we got the wide elephant and the tall giraffe and I’ll you know…”. NO! Having them do it. And another fun activity is in what we call informal measurement. And that’s like getting something of an equal size. It could be paper clips or it could be same-size blocks, and then measuring how long something is. So if it’s measured by blocks versus paperclips, you’re gonna have a lot more paperclips than you are blocks. And that kind of comparison is so fascinating for children. And so that’s measurement. And now we have counting. Like, how many paperclips long is something versus how many blocks long is something.

Dan Meyer (21:02):
So checking my understanding here, you’ve talked about how caregivers and other adults can transmit math anxiety by naming it and claiming it for themselves. And you’ve talked about, some really exciting ways that adults can involve students and kids in different kinds of math. I’d love to go upstream with you a little bit and wonder out loud, where does this anxiety come from initially? It’s gotta be more than adult one to kid two talking about anxiety, and transmitting it from human to human. What is the original spring from which all this anxiety flows?

Dr. Rosemarie Truglio (21:36):
Yeah. I do think it does—a lot of it does come from the adults in their lives. It’s unfortunate, because there is a lot of math talk about it, right? I can’t do math; I’m not good at math. Even when you’re at a restaurant and you get the bill and someone’s figuring out the tip, I can’t tell you how often it’s like, “Pass the bill, because I can’t do math.” Or if you actually then bring gender into it, you know, “Oh, girls aren’t good at math,” and that’s not true. There’s no evidence of that whatsoever, right? So in the younger grades, there’s no gender difference in terms of math ability. What’s also interesting about even socioeconomic status differences, you don’t see a lot of differences between low-income and middle-income children when it comes to math skills. Where you see differences is children’s ability to talk about their mathematical thinking. So if a child doing a math problem is asked, “How did you solve the problem?”, low-income children don’t often have the language to explain their thinking. So that’s something that we did on Sesame Street, where we focused a lot on what we call math talk. So, not just show number and show doing math, but actually narrate and giving the language. Because math literacy is one of the predictors of overall school achievement. So there’s that. They’re getting it from the adults in their lives. They’re getting it, unfortunately, sometimes from their teachers. But I think the anxiety comes from the fear of making mistakes. Because math, there is right and wrong, and always wanting to get the right answer. So that’s why this whole idea of reframing, and saying, “But really, it’s in the process.” So, you know, my son, math is not his strong suit. And I’ve been doing a lot of growth mindset with him as well. And there was a teacher that he had—I think in like 10th or 11th grade—who said, “In a test, I don’t wanna—I’m not even gonna look at the answer. I wanna see the process through which you GOT to this answer. And I’m going to grade the process. So the process could yield a right answer; it could yield a wrong answer. But you’re gonna get graded on the process. Because I wanna see how you are approaching the problem and how you’re thinking it through.” And I think that is a great example of, maybe, to try to reduce math anxiety. Because if you can get people excited about the process through which you’re learning—and that applies to all subjects, it’s not just math!

Bethany Lockhart Johnson (24:36):
I’m like, that applies to life! Right?

Dr. Rosemarie Truglio (24:38):
That applies to life!

Bethany Lockhart Johnson (24:39):
That’s so spot on. Wow. Yeah.

Dr. Rosemarie Truglio (24:41):
But I think that there’s so much focus on right and wrong, and not really understanding the value of the process. So on Sesame, we’ve been doing a lot of “oops” and “ahas.” You know, we’re gonna make mistakes, but what’s important is what do you DO when you make a mistake? So there’s a great episode with The Count. A couple of years ago. The Count was counting. Something he does every day. A lot of time, every day, ’cause he’s obsessed with counting and numbers. And he was counting an array of items.

Gladys the Cow (25:17):
I need 10 sandwiches all together.

The Count (25:22):
Well, of course.

Dr. Rosemarie Truglio (25:23):
And he made a mistake.

Elmo (25:25):
The Count?

The Count (25:25):
Hmm?

The Count (25:25):
Elmo thinks The Count made a little mistake.

The Count (25:31):
No mistake.

The Count (25:32):
Mm-hmm. Yeah.

Dr. Rosemarie Truglio (25:33):
And first time ever, did he make a mistake. And he fell apart.

The Count (25:38):
I must make sure that that never happens again. So I shall never count again.

Dr. Rosemarie Truglio (25:46):
And that’s an example of showing that, you know, you could get upset when you make a mistake, but what’s important is you gotta come back and you gotta come back to doing what you love. In his case, is counting and letting him know that it was an “oops.” But you learn that mistakes are OK. It’s OK to make a mistake and continue to do what you love.

The Count (26:13):
I must keep trying and you should, too.

Elmo (26:17):
Yeah!

The Count (26:17):
So come, let’s count the carrots together!

Elmo (26:18):
Oh, cool!

Bethany Lockhart Johnson (26:19):
And what a beautiful gift to show kiddos. Show that to kiddos, right? And to the adults. I wanna, you know, really acknowledge it, and say, “Hey look this, it’s OK.” And again, you’re giving them that language. That’s such a gift.

Dr. Rosemarie Truglio (26:34):
Thank you.

Dan Meyer (26:34):
We spend a lot of time wondering why other subjects don’t seem to suffer from this negative perception. And I think you’ve unlocked a lot of that. You’ve mentioned that there are issues that cut across different subject areas, but I think from my own experience and research and interviews, it seems that in ELA and the social sciences, there’s this aspect where you need to come up with a claim and “how are you seeing this?” And there are multiple defensible claims. And I love how you imported that generous pedagogy over into math with this example of a teacher who says, “You know what? It’s about the process here.” Disassociating answer and process.

Dr. Rosemarie Truglio (27:09):
And I think the other thing is like, when children are engaged in a project, for parents to point out: “You’re doing math!” Because they don’t realize that they’re doing math. Once again, math is so often equated solely with numbers and mathematical computations. So it was really interesting—the same is true for science. You know, when we’re talking to parents about the use of everyday—like, going to the supermarket or making dinner or bath time, there’s so much math and science in the everyday. And then when you point it out to them—”you’re doing math”—it’s like, “I’m doing math!” Like, you’re setting the table for a family of six: you’re doing math. That’s called one one-to-one correspondence. “I’m doing math: I’m setting the table.” Yeah, but you’re doing math. You can’t set the table because you have to know how many people are gonna be sitting at the table for dinner. You can’t follow a recipe without doing math. You can’t go shopping without doing math. There’s quantity; you gotta figure out how many peppers you gotta buy, or pounds. “I gotta get a bunch of potatoes and I gotta put ’em in the scale. And I have to get two pounds of potatoes.”

Bethany Lockhart Johnson (28:29):
So your book Ready for School: A Parent’s Guide to Playful Learning for Children Ages Two to Five. First, as a parent of a young toddler, I gotta say it’s such a tool; it’s such a resource. It’s very conversational. And I think about these ideas a lot, both in my work and, you know, just for fun. And yet, even if this wasn’t my chosen field, I still feel like it’s just so accessible. And I wanna flag something.

Dr. Rosemarie Truglio (29:01):
Thank you.

Bethany Lockhart Johnson (29:01):
Yeah, no. Thank YOU. . I wanna flag something that you said in the math chapter You were talking about the joy of math, and you said when it comes to our children, caregivers: “take pleasure in reading stories together, especially at bedtime, which in many households is a regular part of a child’s routine. But somehow the notion of introducing math concepts to our children seems daunting. In fact, some studies have shown that parents harbor a strong belief that while it’s important and pleasurable to support their child’s reading skills, it’s the responsibility of the schools to take care of teaching math.” And that quote, I highlighted it, I starred it! And I would love for you to say a little more about that, because you have given us already, like, a bounty of ideas that as caregivers we can do with our kiddos or the kiddos in our lives. And we’ve seen that even what they’re learning in school, it may not be the freeing, joyful math language that we hope our kiddos have access to.

Dr. Rosemarie Truglio (30:05):
Yeah, I’m glad you brought that up. Because a lot of our focus is on how children learn through playful experiences, and how they learn through play in particular. And there are so many playing, either a game or even playing ideas—like we talked about building, you know, a house for animals or building a fort. It’s just so filled with math. And I wish I could narrate for every young parent how I would hope that they would talk as they are co-engaged in this activity. And I think … we asked about, with the anxiety, the adults have to find the joy in math first. They have to see the math. That’s the problem. That’s why I hope that my book provides that. I want you to know that you are doing math and I want you to know that your child is what we call a mathematician—or in the science chapter, is a STEMist. Your child is already doing science, technology, engineering, and math. STEM is so integrated. So to acknowledge them—because babies are doing math! Babies know, they can distinguish between a small quantity and something that is a of a larger quantity and want the larger. Right? So, it’s natural for them. And they are taking it all in. I mean, the joy of watching a child just early counting: you know, one, two. And trying to then figure out the meaningfulness of two. It’s not three objects. There are actually two. And for a parent to see the joy in that I think is step one. And then to see the richness and how expansive math is, and that power of, oops, “I made a mistake, don’t freak out,” and then [not] say, “See, I’m not good at math,” but say, “Let me try again. I know I could figure this out.” Right? It’s all of that supportive language and supportive experiences that builds this mindset, a positive mindset. So that you hope that when you get into the higher grades, they’re not walking in and saying, “I can’t, I can’t do math.”

Dan Meyer (32:26):
Yeah. Super helpful. I think you point at one of the grownups—great powers in the world of kids, which is to label. To name things. And you know, you’ve talked about how grownups should ideally downplay some of their negative experiences with mathematics for the sake of the kid, but also to play up the positive stuff that they’re doing as mathematics. Like that right there, that’s math. I would love to know … you have an extremely loud megaphone to communicate messages about math and the world and everything through Sesame Street. One of the biggest that there is—and I just wonder if you could step out and imagine you had a magic wand to wave over the world in which students grow up, play and learn—what would you do like to help students have better associations or less math anxiety? And, you know, learn more about math itself?

Dr. Rosemarie Truglio (33:19):
If I had a magic wand, I would give everyone what we call a growth mindset that nothing is fixed and everything can be changed if you put the time and effort into the process, and enjoy the process. The joy of learning. I think, you know, it’s really sad. I don’t wanna be sad on your show. But when we were getting ready for the 50th anniversary, I was wondering, “What is gonna be the curriculum focus?” You know, we just came off of literacy and math literacy and social-emotional development. And we talked about the power of play. Playful learning. And building careers. Give children sophisticated play scenarios so that they could explore what they may wanna be when they grow up. Because there’s a concept: If I can see it, I can play it, I can be it. Right? So where are those portrayals? And it’s like, “What are we gonna do for the 50th?” And I had a convening of experts across all disciplines, and brought them into a room. And I said, you know, “What keeps you up at night? Like, what are you worried about?” Sort of like the State of the Union of Child Development. And this is where the sad part is. They talked about how that sense of joy, that sense of wonder, that sense of curiosity, that sense of flexible thinking and creative thinking, was disappearing in early childhood. Wow. If it’s disappearing in early childhood, we are in big, big trouble . ‘Cause I could see it disappearing later on, you know, as you advance in grade. But what do you mean, it’s disappearing in childhood? And then they talked about the fear of making mistakes. And that goes against—it’s the opposite of a growth mindset. And so we have to bring back that sense of joy, wonder, asking those why questions and embracing them. So it’s another problem parents have. They’re fine with the “why” questions until the “whys” become so difficult they don’t have the answers. And then they don’t want the “why” questions, because now they feel like they’re not smart enough to answer their child’s “why” questions. How do I flip that around to be much more positive and say, “You know, I don’t know! But let’s find out together. Let’s explore together; let’s experiment together.” That’s what I mean about the shift in the mindset, that growth mindset. We should not know all of the answers, but where’s the joy of, “Wow, I don’t know, let’s go find out together”? And that applies to math too. But you have to have that open mindset. You have to—you, as yourself, have to have that growth mindset.

Bethany Lockhart Johnson (36:20):
I love that magic wand. I want that magic wand! And I think what—like Dan said about this megaphone, this opportunity to reach so many young people, so many caregivers—what a gift! And I’m so grateful that you took time to be in the lounge with us, and that you have shared these ideas. Because truly, I think, like you said, it’s really our youngest learners, right? How can we create and cultivate these opportunities for our youngest learners to find the joy in mathematics and just in learning, right?

Dr. Rosemarie Truglio (36:54):
Yeah.

Bethany Lockhart Johnson (36:55):
So thank you. Thank you so much, Dr. Truglio. We are deeply grateful for your insight and for all the work you do. And we continue to invite the world of Sesame Street into our homes.

Dr. Rosemarie Truglio (37:08):
Thank you. Thank you for allowing us to come into your home, and for you to re-learn with your child as you’re watching Sesame Street. Because it’s very much a parenting show, as it is for a child-directed show, because we are blessed to have these wonderful human cast members who are the stand-ins for parents. And so we are often giving you the language for how to talk about and how to problem-solve together. So thank you.

Dan Meyer (37:43):
Thanks so much for listening to our conversation with Dr. Rosemarie Truglio, Senior Vice President of Curriculum and Content at Sesame Workshop.

Bethany Lockhart Johnson (37:51):
Dr. Truglio is also the author of Sesame Street Ready for School, A Parents Guide to Playful Learning for Children Ages Two to Five, and we’re gonna make sure we put a link to that in the show notes because it is really, really a rich resource. I’m diving in. I have so many ideas bookmarked that I wanna try out with my kiddo.

Dan Meyer (38:09):
Yeah, it’s really exciting to see—like, for a classroom educator, I just kinda assumed that a lot of math learning happens in the classroom context. That’s my lens. So yeah, I loved reading the book and seeing all the different opportunities for parents for just out there in the world, in front of your house, at the supermarket. All the different opportunities there are for mathematical thinking, and then to think about how to bring that into some of those routines and ideas into the classroom, into formal schooling.

Bethany Lockhart Johnson (38:35):
Exactly. Exactly. Like Dr. Truglio said, the caregivers’s disposition about mathematics matters so deeply. Your teachers’ dispositions about mathematics, their beliefs, the way that you hear people talking about math, that impacts our learners. That impacts—like, as a student, that impacts what you think is possible for yourself. So I love this, re-educating ourselves about what math can look like out in the world, in everyday conversations. I don’t know. I really, really appreciated this conversation with Dr. Truglio.

Dan Meyer (39:12):
Same. Yeah. We’d love to hear what you folks think about the work. the book, her ideas. Definitely get in touch with us. Subscribe to Math Teacher Lounge, wherever you get podcasts. And keep in touch with us on Facebook at Math Teacher Lounge Community, and on Twitter at MTL show.

Bethany Lockhart Johnson (39:27):
Also, if you haven’t already, please subscribe to Math Teacher Lounge wherever you get your podcast. And if you like what you’re hearing, please leave us a rating and a review. It’ll help more listeners find the show. And while you’re at it, let a friend know about this episode, because you enjoyed it; they might enjoy it. On our next episode, we’re gonna be chatting with Dr. Heidi Sabnani and taking a closer look at best practices for coaching teachers to reduce their own math anxiety.

Dr. Heidi Sabnani (39:56):
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 seeing it taught.

Dan Meyer (40:10):
Thanks again for listening, folks.

Bethany Lockhart Johnson (40:12):
Bye.

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What Dr. Rosemarie Truglio says about math

“We all have to work together, because even though we are the experts [on curriculum and education], the real experts are the children themselves.”

– Dr. Rosemarie Truglio

Senior Vice President of Curriculum and Content, Sesame Workshop

Meet the guest

Rosemarie T. Truglio, Ph.D. is the Senior Vice President of Curriculum and Content at Sesame Workshop. Dr. Truglio is responsible for the development of the interdisciplinary curriculum on which Sesame Street is based and oversees content development across platforms (e.g., television, publishing, toys, home video, and theme park activities).  She also oversees the curriculum development for all new show production, including  Bea’s Block, Mecha BuildersEsme & RoyHelpsters, and Ghostwriter. Dr. Truglio has written numerous articles in child and developmental psychology journals and presented her work at national and international conferences. Her current book is Ready for School! A Parent’s Guide to Playful Learning for Children Ages 2 to 5, published by Running Press (2019).

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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.

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S5-02. Uncovering the causes of math anxiety

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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.
 
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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!

Winter Wrap-Up 01: Problem-solving and facilitating classroom discussions

Promotional graphic for Math Teacher Lounge podcast, episode 1, featuring Fawn Nguyen, Christy Thompson, and Kassia Omohundro Wedekind discussing classroom problem-solving and discussions.

As we prep for an exciting new season of Math Teacher Lounge: The Podcast, hosts Bethany Lockhart Johnson and Dan Meyer are looking back at the amazing speakers and conversations from past episodes and sharing some of their favorites!

First up: A season 2 double feature of the power of problem-solving with Fawn Nguyen and Facilitating Classroom Discussions with authors Christy Hermann Thompson and Kassia Omohundro Wedekind.

Fawn is a specialist on Amplify’s advanced math team and a former math teacher and math coach—so she knows her stuff! You’ll hear about her five criteria for good problem-solving problems, and the power and importance of exposing all students to problem-solving.

Then, we’ll move into Bethany and Dan’s conversation with Christy and Kassia to learn how hands-down conversations allow students to become better listeners and the steps you can take to implement hands-down conversations in your classroom.

Explore more from Math Teacher Lounge by visiting our main page.

Download Transcript

Dan Meyer: (00:01)

Hey folks. Welcome back to Math Teacher Lounge. My name is Dan Meyer.

Bethany Lockhart Johnson: (00:03)

And I’m Bethany Lockhart Johnson. Hello! Happy New Year! Hello, Dan Meyer.

Dan Meyer: (00:09)

HNY, Bethany. HNY to you and to all of the listeners out there in Math Teacher Lounge. HNY is the abbreviation that I use sometimes.

Bethany Lockhart Johnson: (00:18)

Oh, is that what that is? Is that—I wasn’t sure what that was. If on my birthday you send me HBD…no.

Dan Meyer: (00:25)

Yeah.

Bethany Lockhart Johnson: (00:25)

No. Unacceptable.

Dan Meyer: (00:27)

I will. No, you want the full thing. To demonstrate my care for your birthday, I gotta spell the whole thing out. I’m just trying to stay relevant. You know, I’m just trying to stay relevant and youthful. So I’m using The Abreevs.

Bethany Lockhart Johnson: (00:38)

The Brevvies.

Dan Meyer: (00:40)

To the extent of even abbreviating the word “abbreviation.” . So, any New Year’s resolutions you wanna share with the listeners, Bethany? While you think, I’ll just share mine real quick here. This is the year of the perfect Wordle streak for yours truly, Dan Meyer. I’m going the full 365. Watch. Watch me do it, folks. I’m naming it here. Live on air. recorded on air. Perfect Wordle year. What you got for the listeners, Bethany?

Bethany Lockhart Johnson: (01:10)

Let’s see. It’s raining very hard here in Southern California, and my newest resolution is to embrace nature. My child wants nothing more than to go and splash in all the puddles.

Dan Meyer: (01:22)

Nice.

Bethany Lockhart Johnson: (01:23)

And be amongst the mud. And what I’m gonna keep telling myself—and so far, so far, I’ve been doing pretty good with this—thrive, child. Splash. Squish. We can dry you off. You will not melt. So I want to keep finding opportunities. Like, for instance, my response is, “It’s pouring rain. Let’s stay under covers and let’s read this book together!” And his response is like, banging on the windows, like, “Please let me go outside.” So I myself have some rain boots. I’m going to go forth and splash with my child. So hopefully you’ll see me doing that a bit more.

Dan Meyer: (02:08)

Love that.

Bethany Lockhart Johnson: (02:09)

Ask me what I’m doing. I’m outside, splashing in nature.

Dan Meyer: (02:12)

I don’t wanna put words in your mouth, but I have felt a bit like parenting is a means for rounding out aspects of my own personality that I have felt are—or habits or hobbies that are lacking. Like, I’ve never been real outdoorsy or into camping, but I don’t want that to limit my own kids’ aspirations or interests. So let’s do the thing that’s not super natural for me, for their own sake. Which is kind of what I’m hearing a little bit from you, which—that sounds exciting.

Bethany Lockhart Johnson: (02:35)

Do you wanna go camping together? Like, our families?

Dan Meyer: (02:38)

Uhhh. Let’s take this one off the air. I also love something that’s more relevant to a teachers audience that you said, that I think is super interesting, is how there’s ways that we can make the jobs harder for ourselves, that are optional. And what I hear from you is like, “I’m just not gonna freak out. We’re getting wet. We’re getting soggy. And I’m just not gonna freak out.” And I just think that that’s interesting to think about, the things that we take on, you know, that’s optional. Freaking out is optional, sometimes. And there’s other areas, I think, for parenting or for teaching, where it’s like, “Oh, do I really need to choose this particular battle?” And to reconsider that.

Bethany Lockhart Johnson: (03:19)

And in that spirit, our whole Wordle episode that we talked about? Do you remember you talked about how beautiful Wordle mistakes are, and how you keep learning from mistakes? I mean, you obviously want the final correct answer, but just, you know, when you get on a losing streak, Dan, I hope you’ll continue to pat yourself on the back.

Dan Meyer: (03:38)

Well, I will not be taking on a losing streak, or even lose one day. This is what’s gonna happen here. I’m just speaking that and putting it out in the universe.

Bethany Lockhart Johnson: (03:49)

Speak it!

Dan Meyer: (03:50)

But if it happens, I will be taking a long break from all human interaction. And lamenting, as I do.

Bethany Lockhart Johnson: (03:59)

Camping. Dan’s off in the woods, weeping.

Dan Meyer: (04:01)

That’s right. That’s right. Yeah. Well, we wanna share with you folks—an exciting programming note is that we are currently working very hard on producing a special fifth season of this podcast. You thought the other seasons were special? Let me tell you, this fifth season gives new meaning to the word “special.” And we can’t wait to tell you more about that. But in the meantime, Bethany, you wanna tell ’em what we’re up to in the meantime?

Bethany Lockhart Johnson: (04:26)

Well, Dan and I went back and we were having a conversation about some of our most favorite conversations, or the conversations that people bring up to us. Like, when we were at the CMC conference, or NCTM, folks, when we talk about the podcast, they’re like, “Oh, I loved this one.” “Oh, I love this one.” And that, to me, I don’t know, that is exciting. And so, while we’re putting together this new season over these next few weeks, we’re gonna feature a few of our favorite conversations from our first four seasons. Dan, four seasons!

Dan Meyer: (04:59)

We’ve been at this for four seasons! And I do want to just emphasize something you said, Bethany: that all of our conversations are our favorite conversations. They’re all our special children. What we just felt like you, the listeners, did not quite learn enough from some of these, and so we really needed you to hear them again to make sure you got everything that you should get out of them. So, let’s tell ’em who’s up first. And who’s up first is a conversation we had about problem-solving with Fawn Nguyen, who’s an advanced math team specialist here at Amplify. Been a former math coach, math teacher. Just really done the work, is what I’d say about Fawn.

Bethany Lockhart Johnson: (05:38)

If you have been listening to this podcast, you’re like, “Whoa, whoa. Wait, I have not missed an episode. I didn’t hear Fawn’s interview.” That is because we used to be video only, not podcasts. So this conversation with Fawn was from, what, our second season?

Dan Meyer: (05:55)

Yeah.

Bethany Lockhart Johnson: (05:56)

And we were on video. And another thing about it is it was, this is a conversation that, when folks talk about problem-solving, a lot of the responses we’ve gotten are like, “Wait, I’ve never thought of problem-solving this way.” In fact, you’ll hear us say that exact thing . So we really appreciated the time with Fawn. And yeah.

Dan Meyer: (06:17)

Enjoy it, folks. Especially enjoy Fawn’s—I think a four-part?—definition of problem-solving, a word that’s often kind of mushily defined. And Fawn really goes into, I think, precision and depth on it. So hope you folks enjoy it.

Dan Meyer: (06:35)

Give a wave, Fawn, to the camera. Would you? Cool. Fawn has been a teacher for a very long time. She is someone who could have left the classroom at any point and taken any number of jobs in the math-teaching universe. But I’ve always admired that Fawn has taught kids for a very long time, and that has given her, in my view, just a lot of clarity on what is important to her about students. I’ve seen her not get upset or obsessed with certain kinds of small niche issues that a lot of us, like, they get a lot of us down in the classroom, sometimes. And she’s maintained a laser focus on among many other things, problem-solving as a virtue in mathematics classrooms. So, please welcome Fawn to our show. Fawn, thanks so much for being here.

Fawn Nguyen: (07:18)

Hey, thank you so much. Thank you. I am so excited and honored that you guys invited me for this, Bethany and Dan.

Bethany Lockhart Johnson: (07:24)

Thank you for being here.

Fawn Nguyen: (07:26)

I love you, Bethany. Dan, I can tolerate, but I love you.

Dan Meyer: (07:30)

I really worked myself up there on that complimentary opening for you, and that’s how you get me back, here? OK. Problem-solving is fully on the consciousness of math teachers. Every math teacher knows that they need to say, like, “Yeah, oh, problem-solving. Yes. Love it. Do it. I dig it.” But even so, I feel like it’s become kind of a buzzword. Like, it’s not always obvious what that means…or am I doing problem-solving, really? So we’re curious: As someone who is a problem-solving expert, who is asked all over the world to talk about problem-solving: How do I know if I’m doing problem-solving in my classroom?

Fawn Nguyen: (08:12)

This is not my definition of it, but—nor am I an expert, by the way, Dan, thank you! but I try really, really hard and work on it!—my definition—or it’s not my definition, but I like it because it’s short and honest—is “problem-solving is what we do when we don’t know what to do.” And so—

Bethany Lockhart Johnson: (08:32)

Ooh!

Fawn Nguyen: (08:32)

—with that mind-frame, I’m hoping teachers think more about what they task. Because I think it gets mislabeled a lot, as to what is problem-solving. If the kids already know what to do, there’s a solution path. Then it’s not problem-solving.

Dan Meyer: (08:48)

Yeah. So what are examples then? An example of, like, I might call something problem-solving, but it it fails that particular definition that you just proposed there. Very short, very honest definition.

Fawn Nguyen: (08:59)

Just, it needs to have constraint and contradiction to what the kids think naturally. It should come as a surprise. There’s an element of surprise in it. There’s tension.

Dan Meyer: (09:11)

Maybe if there’s harder numbers or, you know, decimals or fractions in the same kind of procedure…I can feel myself thinking, “Yeah, this is hard. This is problem-solving. Problem-solving equals hard. But we already know what to do.”

Fawn Nguyen: (09:27)

Or just word problems. That’s the most common thing. As soon as it just has words attached to the math, it becomes problem-solving. But that’s just coding it to me. That’s just coding it with words, wrapping it around. It doesn’t mean anything until we read through and see if there’s true problem-solving in it.

Bethany Lockhart Johnson: (09:45)

Like, what’s the moment that it becomes problem-solving? In the way that you envision it?

Fawn Nguyen: (09:53)

Well, I think there’s the bigger problem-solving of really bringing a task…I wanna call it left field. It just—we rarely ever, if ever, see it in the regular coursework, but it can also be problem-solving if we just take what we expect the children to do at the end of the unit, how about we front-load that? To me, that’s also problem-solving. And I’m trying to encourage teachers to do that last problem first. The task writers put more thought—not that they don’t do the rest of it!—but you know, this is a special one, because they label it “challenge,” or “enrichment,” or “are you ready for more?” I’ve seen those. And so it is this really special problem. And I would love for us to think about “do that first.” Because my biggest fear is that because it comes at the end, that not all the children are involved. And so that to me is the saddest part. Because we might not get to it, right? In mathematics, we always think, “OK, well, let’s do these problems and then we don’t have time for the rest.” But I think that’s your richest task right there, is at the very end. So why don’t we front-load it, start it, and it’s OK—of course it’s OK!—that we don’t all get it. But the exposure to all students is so important. Talk about, you know, equity. Talk about that, everybody gets the same thing. If everyone dug into that first one with everybody’s collaboration, and we get to share that, and then we leave it, because “Yeah, OK, now we learn more of the other stuff, right? That hopefully support. And then we can go back. And now everybody had a chance to go get into it, and then we can come back to it as, as many problems, we need to go back to it.”

Bethany Lockhart Johnson: (11:37)

And that feels so powerful. Because it feels like—as a teacher, I’m thinking it would also inform my work, how I approach the unit, and how I approach the next steps. Right? Like, what kind of work would we be doing if I let it, if I allow it, to change the way that I approach the unit.

Dan Meyer: (11:58)

Yeah. What you’re describing is so powerful, and really asks a lot of the task designers as well, I think. There are problem-solving tasks that really require, like, abstract knowledge of the way formulas and variables fit together. And what I love about what Amplify is doing with their problem-solving, what you’re helping them do, is that they start with a true low floor that can draw in every student. And they might get stuck at different places; that’s fine. But everyone has a way in. That’s exciting.

Fawn Nguyen: (12:24)

It’s a big deal for me to have this opportunity and this trust, to integrate problem-solving into the curriculum, make it intentional. It’s difficult to implement. It is, to be honest. Because for me, what is a good task? This makes one of my four criteria: One is, it is non-routine. It is simply stated. Simply stated—that’s like your low floor. And then has multiple solutions. And the fourth: This makes it. Because that the teacher enjoys solving it. And so you have to enjoy solving it to bring it. Because so that way I can say to my kids, “This is my gift.” It really is, Because, you know, it has so much fun and joy. And I appreciate the struggle. And I wanna illustrate an example. For example, let’s say Dan and I are classmates. And I know that Dan gets A’s on his tests and the lowest score he ever got was an 89%. I, on the other hand, just sitting right next to him, I average D. I have a D average on everything. While Bethany, our amazing and wonderful teacher, brings in a problem. And when she brings it in, she says, “I worked on this problem. I found this problem; I worked on it; and I struggled with it. And it was amazing. I enjoyed it so much, I’m sharing it with you.” And all of a sudden it’s like, “OK!” And I”m sitting there, right? My teacher loves this problem so much; she’s bringing it in to share with us. And now, all of a sudden, it’s not, you know…and I know she only gives us non-routine. When she talks about problem-solving, it’s non-routine. So it’s not directly tied to the textbook that I’ve been struggling with. So it gives me a chance, it gives me a chance to contribute. To think differently. And now, suddenly I look forward to working with Dan, because in this space, in this problem-solving space, Dan is no longer Mr. Know-It-All. And so that’s what I mean by—I am saying this a hundred times, and I will not stop saying it—problem-solving levels the playing field. Our world is filled with unsolved problems. Are you kidding me? Right? We look around us, we have so many things that are not solvable, or people are working on it, and yet in mathematics, what happens? The bell rings; we start; and we solve everything during that time, and we leave. And that’s…yeah. No! No! We need to wrestle with problems.

Dan Meyer: (15:04)

And that was our conversation with Fawn Nguyen, which we first released way back in November, 2021. You folks can follow Fawn on Twitter at Fawn P Nguyen. Um, that’s @ F A W N P N G U Y E N.

Bethany Lockhart Johnson: (15:18)

So our episode today is a double feature. We are featuring another conversation that we loved from Season Two. This is a conversation with Christy Hermann Thompson and Kassia Omohundro Wedekind. They’re authors of the book, “Hands Down, Speak Out: Listening and Talking Across Literacy and Math.” And I don’t know if you remember, but not only did we have a conversation with them, but we did a whole book study on Facebook, a Facebook Live book study, over the course of several months. And it was one of my most favorite things. And then they did a webinar at the end. So our conversation with them on the podcast for me felt like such a beautiful dive into their book. And you know, I’ve said it before, you think you have something down in the classroom, you’re like, “Oh, hand-raising, I’ve got that down.” You think you have it down, but then somebody says, “OK, but have you ever considered thiiiis?” You know, and it just—

Dan Meyer: (16:17)

NOT that??

Bethany Lockhart Johnson: (16:18)

, Not that? Something totally different? And I loved talking with them. They’re a lot of fun. And I loved the book.

Dan Meyer: (16:23)

Wonderful conversation, great book. Very provocative ideas. Yeah. As someone who’s like, “OK, classroom management, I gotta get the hand-raising going…”. In the classroom before we talked, they offered a really potent challenge to some really standard classroom management ideas. Yeah. Loved it.

Bethany Lockhart Johnson: (16:40)

And this conversation also offers some really practical tips for facilitating student conversations. So we think you’ll enjoy it. Here’s our conversation with Christy and Kassia.

Bethany Lockhart Johnson: (16:53)

So today we are talking about “Hands Down, Speak Out: Listening and Talking Across Literacy and Math, K—5.” And we have the authors here, Kassia Omohundro Wedekind and Christy Hermann Thompson. Before we begin, let’s define what a hands-down conversation is. A hands-down conversation is just another way to structure discourse in your classroom. So in a typical classroom, you might see students raising their hand and waiting on a teacher to call on them before they share their ideas or engage in discussion. But in a hands-down conversation, it’s students’ ideas and voices that are taking the lead, and teachers are stepping back and focusing on listening and facilitating. Hello! Welcome to the Lounge.

Kassia Omohundro Wedekind: (17:44)

Thank you. We’re excited to be here. We’re fans of Season One. So we’re ready to go.

Dan Meyer: (17:50)

I was a secondary teacher but I still found so much to love about the book. I think facilitating conversations is just generally challenging, and perhaps even more so in math, where answers feel so tightly dialed-in, in lots of ways. But I loved it. I would love for you to just explain to our audience, what is a hands-down conversation and how does that contrast with what might be standard practice for some people? For some classes?

Christy Hermann Thompson: (18:13)

We just started using the term hands-down conversation because we wanted to differentiate the fact that there are different times to have different types of dialogue in the math classroom, in the literacy classroom. And we use this as one of our tools. Right? It’s not that every day, all day long, we’re very against hand-raising and should never see that again. We find that having this as one of our tools will be where we make really clear to the students that this is a moment where we’re turning it over to you to negotiate the space and make the decisions about when your voice comes in and who speaks next. You know, carry on kind of like that dinner table or that playground or, you know, whatever is your natural habitat for talk. And bringing that into the classroom and then hoping that it also someday transfers back out of the classroom back into the real world.

Bethany Lockhart Johnson: (19:09)

For the teachers who feel like that’s terrifying to have students just start speaking, and speaking without any sort of control or my little equity sticks, my little popsicle sticks, or my popcorn, or whatever other thing they’re using, what would you say is the first step?

Christy Hermann Thompson: (19:25)

So I think recognizing and naming that fear is part of it. And then saying to yourself, “What’s the worst that could happen here?” You know, I think the worst that could happen is that nobody talks and it’s totally silent. Or on the other hand, everybody talks at the same time. And both of those things will happen! And so what? It’s gonna be messy. And if you just acknowledge that it’s gonna look messy, and that’s part of growing; that every child as they learn—and every adult—is messy as they grow.

Kassia Omohundro Wedekind: (19:59)

And we have to see what kinds of things will happen in a hands-down conversation. Like there’s no prerequisite. You just start and then you see what happens. And those are the signs that tell you, “What can help this community grow as talkers and listeners? If everyone’s talking at the same time, and they’re kind of pushing each other over with their words by saying, “I have something to add!” “I have something to add!” or something like that, that’s a common thing that sometimes happens at the beginning. Then you know that the next step is to do some work about how to hold your thoughts back, how to add, wait for a space in the conversation to talk. And those are all things we need people to know out in the world.

Bethany Lockhart Johnson: (20:41)

So can you give an example of a micro-lesson that…well, first, what do you define as a micro-lesson? And then, what’s an example of one that maybe somebody who wants to dip their toe into the world of hands-down conversations that they could try?

Christy Hermann Thompson: (20:56)

The reason we call them micro-lessons is because we wanted to differentiate from the term mini lesson, which is out there and tends to describe about 10 or 15 minutes that might take place at the beginning of a work period of time. And this is much smaller than that. We usually follow a pretty predictable structure of naming. Here’s this thing that’s so helpful when we’re having conversations, and we love to especially be able to name something that a student had done: “Kaylee did this yesterday and it really helped us.” So what we might call that is, “And then here’s how Kaylee and other people might do that. They might do something like this.” And, you know, having a little anchor chart, so there’s a visual reminder of that skill. “So when we’re having a conversation today, you could try…”. And that’s basically a micro-lesson, just in a nutshell.

Kassia Omohundro Wedekind: (21:51)

When I was doing these hands-down conversations and I had more space for myself to listen as a teacher, I’m like, “Well, look at those kids, like, slumped onto the ground, like, pulling the carpet apart, but they’re having this amazing conversation!” And so I learned that listening is a lot broader. So in this lesson that I’m thinking about, we just talk with kids about what are lots of different ways that listening can look like. Sometimes with younger kids, I’ll take pictures of them listening in different ways and we’ll notice things about them together. And then we invite them to talk with their Turn and Talk partner about like, “How do you like to be listened to?” Or “Tell me about how you listen.” And just kind of broaden that. And really, I like to think that like the micro-lessons are for the kids, but also I’m saying those things to say them for myself. Like, “Remember, you don’t have to insist that kids are staring each other down in the eyes all the time. Like, “It’s OK when they’re doing other things. There’s other ways of listening.” So I think I’ve learned as much from the micro-lessons each time I do them as the kids that I’m trying to help grow as listeners and talkers, as well.

Dan Meyer: (23:00)

You folks have a lot of really eloquent ideals you express, around democratic classrooms and engagement. But you also have just some very tangible, practical…even down to, like, how a teacher positions their body in space and the way they use their eyes to connect. I think it would be really helpful for teachers to hear that it’s not just they’re signing on to a manifesto of sorts, but there’s ways they can act their way into the beliefs that you both expressed here.

Christy Hermann Thompson: (23:26)

When I’m starting hands-down conversation work, if I put myself a little bit outside of the circle and look down, and give myself a clipboard, it, it helps me bite my tongue and it helps me give better wait time and see what the kids are doing before I have that tendency to jump in and teach and do lots of teacher-y things.

Bethany Lockhart Johnson: (23:48)

Kassia and Christy, thank you so much for joining us. We are so excited to have this conversation and to share your work. This is exciting. And I feel like this conversation is just the beginning of a deeper dive into this book.

Kassia Omohundro Wedekind: (24:01)

Thanks for having us.

Christy Hermann Thompson: (24:02)

Thank you.

Dan Meyer: (24:03)

Thank you both.

Bethany Lockhart Johnson: (24:06)

Thanks so much for listening to our conversations with Fawn Nguyen and Christy Hermann Thompson and Kassia Omohundro Wedekind, both of which were released in 2021, part of our second season. And, you know, we hoped you enjoyed listening to it for a first, second, maybe third, fourth time.

Dan Meyer: (24:24)

Let’s be real. There’s some real fans out there.

Bethany Lockhart Johnson: (24:26)

We loved it then. We love it now!

Dan Meyer: (24:28)

Yep, yep, yep. Please keep in touch with the show by following us on Twitter at MTL Show, and join our Facebook group, the Math Teacher Lounge community. We’d love to hear from you there. And please stay tuned for more info on what we’re cooking up here in the Math Teacher Lounge. Thank you folks for listening. Take care, Bethany.

Bethany Lockhart Johnson: (24:47)

Bye now.

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What Fawn Nguyen says about math teaching

“It’s a big deal for me to have the opportunity and this trust to integrate problem-solving into the curriculum.”

– Fawn Nguyen

Specialist, Math Advance Team, Amplify Desmos Math

Meet the guests

Fawn Nguyen

Fawn began her work with Amplify in 2022 as a Math Advance Team Specialist. She was a math coach for a K-8 school district for three years, and a middle school teacher for 30 years before that. Fawn has also received a number of accolades as an educator.

Christy Thompson

Christy Thompson is a Literacy Coach in Fairfax County Public Schools in Virginia. She has spent her teaching and coaching career particularly focused on listening to and learning from the talk of our youngest students.

Kassia Omohundro Wedekind

Kassia Omohundro Wedekind spent many wonderful years as a classroom teacher and math coach in Fairfax County Public Schools in Virginia and now splits her time between being an independent math coach and an editor at Stenhouse Publishers. Her favorite days are spent in classrooms learning from the many ways children talk, listen and negotiate meaning together.

Three women are pictured separately in circular frames, each smiling and facing the camera, against a white background with overlapping pastel shapes—perfect for highlighting math teacher lounge discussions or sharing essential math teacher resources.
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!

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

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Grade 6

Unit 1: Area and Surface Area

Lesson 2: Finding Area by Decomposing and RearrangingShapes on a Plane
Lesson 3: Reasoning to Find AreaLetters
Lesson 4: ParallelogramsExploring Parallelograms, Part 2
Lesson 5: Bases and Heights of ParallelogramsExploring Parallelograms, Part 1
Lesson 6: Areas of ParallelogramsOff the Grid, Part 1
Lesson 7: From Parallelograms to TrianglesTriangles and Parallelograms
Lesson 8: Areas of TrianlgeExploring Triangles
Lesson 10: Bases and Heights of TrianglesOff the Grid, Part 2
Lesson 11: PolygonsPile of Polygons
Lesson 15: More Nets, More Surface AreaRenata’s Stickers

Unit 2: Introducing Rations

Lesson 3: RecipesPizza Maker
Lesson 5: Defining Equivalent RatiosFruit Lab
Lesson 12: Navagating a Table of Equivalent RationsDisaster Preparation

Unit 3: Unit Rates and Percentages

Lesson 1: Anchoring Units of MeasureMany Measurements
Lesson 4: Comparing Speeds and PriceWorld Records
Lesson 5: Interpreting RatesSoft Serve
Lesson 6: Equivalent Ratios Have the Same Unit RatesWelcome to the Robot Factory
Lesson 8: Solving Rate ProblemsMore Soft Serve
Lesson 9: More about Constant SpeedModel Trains
Lesson 11: Representing Percentages with Double Number Line DiagramsLucky Duckies

Unit 4: Dividing Fractions

Lesson 4: How Many Groups? (Part 1)Flour Planner
Lesson 6: Using Diagrams to Find the Number of GroupsFill the Gap
Lesson 13: Rectangles with Fractional Side LengthsPuzzling Areas

Unit 5: Arithmetic in Base 10

Lesson 1: Using Decimals in Shopping ContextDishing Out Decimals

Unit 5: Arithmetic in Base 11

Lesson 2: Using Diagrams to Represent Addition and SubtractionDecimal Diagrams and Algorithms

Unit 5: Arithmetic in Base 12

Lesson 15: Making and Measuring BoxesMovie Time

Unit 6: Expressions and Equations

Lesson 1: Tape Diagrams and EquationsFive Equations
Weight for It
Lesson 3: Staying in BalanceHanging Around
Lesson 4: Practice Solving EquationsHanging It Up
Lesson 5: Represent Situations with EquationsSwap and Solve
Lesson 9: The Distributive Property: Part 1Products and Sums
Lesson 17: Two Related Quantaties, Part 2Subway Fares

Unit 7: Rational Numbers

Lesson 3: Comparing Positive and Negative NumbersOrder in the Class
Lesson 5: Using Negative Numbers to Make Sense in ContextMinimum Wage
Lesson 8: Writing and Graphing InequalitiesTunnel Travels

Unit 8: Data Sets and Distributions

Lesson 5: Using Dot Plots to Answer Statistical QuestionsMinimum Wage
Lesson 6: Interpreting HistogramsThe Plot Thickens
Lesson 11: Variability and MADHoops
Lesson 13: MedianToy Cars

Grade 7

Unit 1: Scale Drawing

Lesson 1: What are scaled copies?Scaling Machines
Lesson 2: Correspond Parts and Scale FactorsMake it Scale
Lesson 3: Making Scaled CopiesScaling Robots
Lesson 5: The Size of the Scale FactorScale Factor Challenges
Lesson 6: Scaling AreaTiles
Lesson 6: Scaling AreaWill It Fit

Unit 2: Introducing Proportional Relationships

Lesson 1: One of These Things is Not Like the OtherPaint
Lesson 5: Two Equations for Each RelationshipTwo and Two
Lesson 10: Introducing Graphs of Proportional RelationshipsDinoPops

Unit 3: Measuring Circles

Lesson 2: Exploring CirclesMeasuring Around
Lesson 7: Exploring the Area of a CircleWhy Pi?
Lesson 9: Applying Area of a CircleArea Challenges

Unit 4: Proportional Relationships and Percentages

Lesson 6: Increasing and DecreasingMosaics
100%
Lesson 7: One Hundred PercentMore and Less
Back in My Day
Lesson 8: Percent Increase and Decrease with EquationsAll the Equations
Lesson 11: Percentage ContextsPercent Machines

Unit 5: Rational Number Arithmetic

Lesson 3: Changing ElevationFloats and Anchors
Lesson 5: Representing SubtractionMore Floats and Anchors
Lesson 6: Finding DifferencesDraw Your Own
Lesson 13: Expressions with Rational NumbersInteger Puzzles

Unit 6: Expressions, Equations, and Inequalities

Lesson 9: Dealing with Negative NumbersKeeping it True
Lesson 13: Reintroducing InequalitiesI Saw the Signs
Lesson 14: Finding Solutions to Inequalities in ContextUnbalanced Hangers
Lesson 15: Efficiently Solving InequalitiesShira the Sheep
Lesson 16: Interpreting InequalitiesBudgeting
Lesson 17: Modeling with InequalitiesWrite Them and Solve Them
Lesson 20: Combining Like Terms (Part 1)Collect the Squares

Unit 7: Angles, Triangles, and Prisms

Lesson 2: Adjacent AnglesFriendly Angles
Lesson 5: Using Equations to Solve For Unknown AnglesMissing Measures
Lesson 7: Building Polygons (Part 2)Can You Build It

Unit 8: Probability and Sampling

Lesson 1: Mystery BagsHow Likely
Lesson 3: What are Probabilities?Prob-bear-bilities
Lesson 4: Estimating Probabilities through Repeated ExperimentsIs It Fair?
Lesson 13: What Make a Good Sample?Crab Island

Grade 8

Unit 1: Rigid Transformations and Congruence

Lesson 1: Moving the PlaneTransformers
Lesson 2: Naming the MovesSpinning, Flipping, Sliding
Lesson 3: Grid MovesMoving Day
Lesson 4: Making MovesTransformation Golf
Lesson 5: Coordinate MovesGetting Coordinated, Part 1
Lesson 6: Describing TransformationsGetting Coordinated, Part 2
Lesson 16: Parallel Lines and Angles in a TrianglePuzzling It Out
Lesson 17: Rotate and TesselateTessellate

Unit 2: Dilations, Similarity, and Introducing Slope

Lesson 1: Projecting and ScalingSketchy Dilations
Lesson 3: Dilations with No GridDilation Mini Golf
Lesson 7: Similar PolygonsSocial Scavenger Hunt

Unit 3: Linear Relationships

Lesson 1: Understanding Proportional RelationshipsTurtle Time Trials
Lesson 5: Introductions to Linear RelationshipsFlags
Lesson 6: More Linear RelationshipsStacking Cups (Optional)
Lesson 8: Translating y=mx+bTranslations
Lesson 9: Slopes Don’t Have to Be PositiveWater Cooler
Lesson 10: Calculating SlopeUps and Downs

Unit 4: Linear Equations and Systems

Lesson 5: Solve Any Linear EquationEquation Roundtable
Lesson 12: Systems of EquationsMake Them Balance
Lesson 13: Solving Systems of EquationsLine Zapper

Unit 5: Functions and Volume

Lesson 1: Inputs and OutputsGuess My Rule
Lesson 5: More graphs of FunctionsTurtle Crossing
Lesson 6: Even More Graphs of FunctionsThe Tortoise and the Hare
Lesson 13: The Volume of a CylinderCylinders
Lesson 15: The Volume of a ConeCones

Unit 6: Associations and Data

Lesson 3: What a Point on a Scatter Plot MeansRobots
Lesson 4: Fitting a Line to DataDapper Cats
Lesson 5: Describing Trends in Scatter PlotsInterpreting Scatter Plots
Lesson 6: Slope of a Fitted LineFind the FIt (called Fit Fights in Desmos Math)
Lesson 7: Observing More Patterns in Scatter PlotsScatter Plot City
Lesson 8: Analyzing Bivariate DataInterpreting Slopes
Lesson 9: Looking for AssociationAnimal Brains
Lesson 10: Using Data Displays to Find AssociationFinding Associations

Unit 7: Exponents and Scientific Notation

Lesson 1: Exponent ReviewCircles
Lesson 6: What about Other Bases?Power Pairs
Lesson 12: Applicatios of Arithmetic with Powers of 10Balance the Scale
Lesson 13: Definition of Scientific NotationSpecific and Scientific (formerly Solar System)

Unit 8: Pythagorean Theorem and Irrational Numbers

Lesson 5: Square Roots on the Number LineRoot Down
Lesson 7: Finding Side Lengths of TrianglesTriangle Tracing Turtle
Lesson 11: Applications of the Pythagorean TheoremTaco Truck

Algebra 1

Intro/Launch

Unit 1: One Variable Statistics

Lesson 12: Standard DeviationFinding Desmo

Unit 2: Linear Equations and Systems

Lesson 4: Equations and Their SolutionsWorking Backwards
Solving Strategies
Same Position
Lesson 5: Equations and Their GraphsShelley the Snail
Five Representations
Lesson 6: Equivalent EquationsSubway Seats
Lesson 7: Explaining Steps for Rewriting EquationsVarious Variables
Lesson 12: Writing and Graphing Systems of Linear EquationsLizard Lines
Lesson 13: Solving Systems by SubstitutionShape It Up

Unit 3: Two Variable Statistics

Lesson 5: Fitting LinesCity Slopes
Penguin Populations
Lesson 6: ResidualsResidual Fruit
Lesson 7: Correlation CoefficientCorrelation Coefficient
City Data
Lesson 8: Using the Correlation CoefficientHow Hot Is It?
Lesson 9: Causal RelationshipsBehind the Headlines

Unit 4: Linear Inequalities and Systems

Lessons 4-6: Graphing Linear Inequalities in Two VariablesPizza Delivery
Lesson 7: Solutions to Systems of Linear Inequalities in Two VariablesQuilts
Seeking Solutions
Lesson 8: Solving Problems with Systems of Linear Inequalities in Two VariablesCarlos’s Fish

Unit 5: Functions

Lesson 1: Describing and Graphing SituationsCraft-a-Graph
Lesson 7: Using Graphs to Find Average Rate of ChangePlane, Train, and Automobile
Lesson 12: Piecewise FunctionsPumpkin Prices
Lesson 15: Inverse FunctionsChip the Robot

Unit 6: Introduction to Exponential Functions

Unit 7: Introduction to Quadratic Functions

Lesson 1: A Different Kind of ChangeRevisiting Visual Patterns, Part 1
Quadratic Visual Patterns
Lesson 10: Graphs of Quadratic Functions in Standard and Factored FormsOn the Fence
Stomp Rockets
Plenty of Parabolas
Two for One
Lesson 11: Graphing Quadratics from the Factored FormParabola Zapper
Shooting Stars
Lesson 14: Quadratic Graphs that Represent SituationsRobot Launch

Unit 8: Quadratic Equations

Lesson 2: When and Why Do We Write Quadratic Equations?Sorting Relationships
Lesson 12-14: Completing the SquareSquare Tactic
Lesson 24: Using Quadratic Equations to Model Situation and Solve ProblemsStomp Rockets in Space

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.

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 6

Chapter 1: Use Positive Rational Numbers

enVision MathDesmos Classroom
Lesson 1: Fluently Add, Subtract, and Multiply DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 2: Decimal Diagrams and Algorithms
Lesson 2: Fluently Divide Whole Numbers and DecimalsUnit 5
Lesson 13: Movie Time
Lesson 4: Understand Division with FractionsUnit 4
Lesson 13: Movie Time
Lesson 6: Divide Mixed NumbersUnit 4
Lesson 6 Fill the Gap
Lesson 7: Solve Problems with Rational NumbersUnit 4
Lesson 3: Flour Planner

Chapter 2: Integers and Rational Numbers

Lesson 1: Understand IntegersUnit 7
Lesson 1: Can You Dig It?
Lesson 2: Represent Rational Numbers on the Number LineUnit 7
Lesson 4: Order in the Class

Chapter 3: Numeric and Algebraic Expressions

Lesson 4: Write Algebraic ExpressionsUnit 6
Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 6: Generate Equivalent Expressions Unit 6
Lesson 8: Products and SumsTake Away (coming soon!)

Chapter 4: Represent and Solve Equations and Inequalities

Lesson 1: Understand Equations and SolutionsUnit 6
Lesson 1: Weight for It
Lesson 6: Understand and Write InequalitiesUnit 7
Lesson 7: Tunnel Travels
Lesson 9: Use Patterns to Write and Solve Equations
Lesson 10: Relate Tables, Graphs, and Equations
Unit 6
Lesson 16: Subway FaresTake Away (coming soon!)

Chapter 5: Understand and Use Ratio and Rate

Lesson 1: Understand RatiosUnit 2
Lesson 1: Pizza Maker
Lesson 2: Generate Equivalent RatiosUnit 2
Lesson 4: Fruit Lab
Lesson 4: Represent and Graph RatiosUnit 2
Lesson 10: Disaster Preparation
Lesson 5: Understand Rates and Unit RatesUnit 3
Lesson 6: Soft Serve
Lesson 6: Compare Unit RatesUnit 3
Lesson 6: Soft Serve

Chapter 6: Understand and Use Percent

Lesson 1: Understand PercentUnit 3
Lesson 9: Lucky Duckies

Chapter 7: Solve Area, Surface Area, and Volume Problems

Lesson 1: Find Areas of Parallelograms and RhombusesUnit 1
Lesson 3: Exploring Parallelograms, Part 1
Exploring Parallelograms, Part 2
Lesson 5: Represent Solid Figures Using NetsUnit 1
Lesson 10: Renata’s Stickers

Chapter 8: Display, Describe, and Summarize data

Lesson 2: Summarize data Using Mean, Median, and ModeUnit 8 
Lesson 11: Toy Cars
Lesson 4: Display Data in Frequency Tables and HistogramsUnit 8 
Lesson 5: The Plot Thickens
Lesson 7: Summarize Data DistributionsUnit 8 
Lesson 3: Minimum Wage

Grade 7

Chapter 1: Rational Number Operations

enVision MathDesmos Classroom
Lesson 1: Relate Integers and Their OppositesUnit 5
Lesson 1: Floats and Anchors
Lesson 3: Add Integers
Lesson 4: Subtract Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 5: Add and Subtract Rational NumbersUnit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 6: Multiply IntegersUnit 5
Lesson 10: Integer Puzzles
Lesson 7: Multiply Rational NumbersUnit 5
Lesson 10: Integer Puzzles
Lesson 9: Divide Rational NumbersUnit 5
Lesson 10: Integer Puzzles

Chapter 2: Analyze and Use Proportional Relationships

Lesson 3: Understand Proportional Relationships: Equivalent RatiosUnit 2
Lesson 1: Paint
Lesson 4: Describe Proportional Relationships: Constant of ProportionalityUnit 2
Lesson 6: Two and Two
Lesson 5: Graph Proportional RelationshipsUnit 2
Lesson 8: Dino Pops

Chapter 3: Analyze and Solve Percent Problems

Lesson 1: Analyze Percents of Numbers
Lesson 2: Connect Percent and Proportion
Unit 4
Lesson 1: Mosaics
Lesson 4: Solve Percent Change and Percent Error ProblemsUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 5: Solve Markup and Markdown ProblemsUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)

Chapter 4: Generate Equivalent Expressions

Lesson 3: Simplify ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 4: Expand ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 6: Add Expressions
Lesson 7: Subtract Expressions
Unit 6
Lesson 10: Collect the Squares

Chapter 5: Solve Problems Using Equations and Inequalities

Lesson 4: Solve Inequalities Using Addition or Subtraction
Lesson 5: Solve Inequalities Using Multiplication or Division
Unit 6
Lesson 16: Shira the Sheep
Lesson 6: Solve Two-Step Inequalities
Lesson 7: Solve Multi-Step Problems
Unit 6
Lesson 16: Shira the Sheep

Chapter 6: Use Sampling to Draw Inferences About Populations

Lesson 1: Populations and SamplesUnit 8
Lesson 10: Crab Island
Lesson 2: Draw Inferences from DataUnit 8 
Lesson 10: Crab Island
Lesson 3: Make Comparative Inferences About Populations
Lesson 4: Make More Comparative Inferences About Populations
Unit 8
Lesson 10: Crab Island

Chapter 7: Probability

Lesson 1: Understand Likelihood and ProbabilityUnit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Chapter 8: Solve Problems Involving Geometry

Lesson 1: Solve Problems Involving Scale DrawingsUnit 1 Lesson 1: Scaling Machines Lesson 7: Will It Fit?
Lesson 3: Draw Triangles with Given ConditionsUnit 7
Lesson 5: Can You Build It?
Lesson 4: Solve Problems Using Angle RelationshipsUnit 7
Lesson 2: Friendly Angles
Lesson 4: Missing Measures
Lesson 5: Solve Problems Involving Circumference of a CircleUnit 7
Lesson 3: Measuring Around
Lesson 6: Solve Problems Involving Area of a CircleUnit 3
Lesson 9: Area Challenges

Grade 8

Chapter 1: Real Numbers

enVision MathDesmos Classroom
Lesson 4: Evaluate Square Roots and Cube RootsUnit 8
Lesson 4: Root Down
Lesson 6: Use Properties of Integer ExponentsUnit 7  
Lesson 3: Power Pairs
Lesson 9: Understand Scientific NotationUnit 7  
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Chapter 2: Analyze and Solve Linear Equations

Lesson 3: Solve Multi-Step EquationsUnit 4
Lesson 5: Equation Roundtable
Lesson 5: Compare Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 6: Connect proportional Relationships and SlopeUnit 3
Lesson 4: Flags
Lesson 8: Understand the y-intercept of a LineUnit 3
Lesson 4: Flags

Chapter 3: Use Functions to Model Relationships

Lesson 1: Understand Relations and FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 2: Connect Representations of FunctionsUnit 5
Lesson 5: The Tortoise and the Hare
Lesson 5: Intervals of Increase and DecreaseUnit 5
Lesson 1: Turtle Crossing

Chapter 4: Investigate Bivariate Data

Lesson 1: Construct and Interpret Scatter PlotsUnit 6  
Lesson 3: Robots
Lesson 2: Analyze Linear AssociationUnit 6  
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Lesson 5: Interpret Two-Way Relative Frequency TablesUnit 6  
Lesson 11: Finding Associations

Chapter 5: Analyze and Solve Systems of Linear Equations

Lesson 2: Solve Systems by GraphingUnit 4  
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Chapter 6: Congruence and Similarity

Lesson 1: Analyze TranslationsUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Lesson 2: Analyze Reflections
Lesson 3: Analyze Rotations
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Lesson 6: Describe DilationsUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 7: Understand Similar FiguresUnit 2
Lesson 6: Social Scavenger Hunt
Lesson 9: Interior and Exterior Angles of TrianglesUnit 1
Lesson 12: Puzzling It Out

Chapter 7: Understand and Apply the Pythagorean Theorem

Lesson 1: Understand the Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 3: Apply the Pythagorean Theorem to Solve ProblemsUnit 8
Lesson 10: Taco Truck

Chapter 8: Solve Problems Involving Surface Area and Volume

Lesson 2: Find Volume of CylindersUnit 5
Lesson 11: Cylinders
Lesson 3: Find Volume of ConesUnit 5
Lesson 13: Cones

Algebra 1

Topic 1: Solving Equations and Inequalities

Lesson 1-2: Solving Linear EquationsWorking Backwards
Lesson 1-3: Solving Equations with Variables on Both SidesSolving Strategies
Same Position
Lesson 1-4: Literal Equations and FormulasSubway Seats
Various Variables
Lesson 1-5: Solving Inequalities in One VariablePizza Delivery

Topic 2: Linear Functions

Lessons 2-1 to 2-3 Forms of Linear EquationsSubway Seats
Five Representations

Topic 3: Linear Functions

Topic 4: Systems of Linear Equations and Inequalities

Lesson 4-1: Solving Systems of 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 FunctionsPumpkin Prices

Topic 6: Exponents and Exponential Functions

Lesson 6-2: Exponential FunctionsCarlos’s Fish
Revisiting Visual Patterns, Part 1
Lesson 6-4: Geometric SequencesSequence Carnival
More Visual Patterns

Topic 8: Quadratic Functions

Lesson 8-1: Key Features of a Quadratic FunctionQuadratic Visual Patterns
Lesson 8-2: Quadratic Functions in Vertex FormOn the Fence
Plenty of Parabolas
Lesson 8-5: Linear, Exponential and Quadratic ModelsDetroit’s Population, Part 1
Detroit’s Population, Part 2
Sorting Relationships
Lesson 8-3: Quadratic Functions in Standard FormRobot Launch
Lesson 8-4: Modeling with Quadratic FunctionsStomp Rockets

Topic 9: Solving Quadratic Equations

Lesson 9-2: Solving Quadratic Equations by FactoringTwo for One
Parabola Zapper
Shooting Stars
Lesson 9-5: Completing the SquareSquare Tactic
Lesson 9-6: The Quadratic Formula and the DiscriminantStomp Rockets in Space

Topic 10: Working with Functions

Lesson 10-1: The Square Root functionPlane, Train, and Automobile
Lesson 10-3: Analyzing Functions GraphicallyCraft-a-Graph
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.

Grade 6

Module 1: Composing and Decomposing

Topic 1: Factors and Multiples

MATHbookLesson 1: Taking Apart Numbers and ShapesProducts and Sums
MATHbookLesson 5: Yours IS to Reason Why!Fill the Gap

Topic 2: Area, Volume, and Surface Area

MATHbookLesson 1: All About That Base….and HeightExploring Triangles
Triangles and Parallelograms
MATHbookLesson 2: Slicing and Dicing: Composit FigureShapes on a Plane
Letters

Topic 3: Decimals

MATHbookLesson 1: You Have a PointDishing Out Decimals
MATHbookLesson 2: Get In LineDecimal Diagrams and Algorithms
MATHbookLesson 4: Dividend In the HouseMovie Time

Topic 4: Fraction by Fraction Division

MATHiaLesson 1: Representing Fraction DivisionFlour Planner

Topic 5: Area of Triangles and Quadrilaterals

MATHiaLesson 2: Developing Area FormulasExploring Parallelograms,
Part 1
MATHiaLesson 3: Calculating Areas of Various FiguresExploring Parallelograms,
Part 2

Off the Grid, Part 1
Off the Grid, Part 2

Topic 6: Composite Figures

MATHiaLesson 2: Calculating Area of Composite FiguresPile of Polygons

Topic 8: Surface Area of Regulat Prisms and Pyramids

MATHiaLesson 1: Determing Surface Area Using NetsRenata’s Stickers

Module 2: Relating Quantitites

Topic 1: Ratios

MATHbookLesson 2: Going StrongPizza Maker
MATHbookLesson 3: Different but the SamePizza Maker
MATHbookLesson 4: A trip to the MoonFruit Lab

Topic 2: Percents

MATHbookLesson 2: Warming the BenchLucky Duckies

Topic 3: Using Tables to Represent Equivalent Ratios

MATHbookLesson 1: Many ways to MeasureMany Measurements
Model Trains
MATHbookLesson 2: What is the Best Buy?World Records
MATHbookLesson 3: A Trip to the MoonWelcome to the Robot Factory
MATHiaLesson 2: Using Tables to Determine Equivalent RatiosDisaster Preparation
MATHiaLesson 3: Problem Solving with Equivalent Rations and Rates using TablesDisaster Preparation

Topic 9: Introduction to Unit Rate

MATHiaLesson 2: Determining and Comparing RatesSoft Serve
More Soft Serve

Module 3: Determining Unknown Values

Topic 2: Equations

MATHbookLesson 2: Double TalkWeight for It
MATHbookLesson 3: Play It in ReverseWeight for It
MATHbookLesson 4: One, None, or a TonTunnel Travels
MATHbookLesson 5: Getting RealFive Equations
Swap and Solve

Topic 3: Graphing Quantitative Relationships

MATHbookLesson 3: Planes, Trains, and PaychecksSubway Fares

Topic 6: Solving One-Step Addition and Subtraction Equations

MATHiaLesson 1: Exploring One-Step Equations with Double-Number LinesHanging Around

Topic 7: Solving One-Step Multiplication and Division Equations

MATHiaLesson 1: Using Double Number Lines to Solve One-Step Multiplicaiton EquationsHanging Around

Topic 8: Solving One-Step Equations with Decimals and Fractions

MATHiaLessons 1-4:Hanging Around

Module 4: Moving Beyond Positive Quantities

Topic 1: Signed Numbers

MATHbookLesson 1: Signed NumbersCan You Dig It?

Topic 1: Introduction to Negative Numbers

MATHiaLesson 2: Representing Integers on Number LinesOrder in the Class

Module 5: Describing Variability of Quantities

Topic 1: The Statical Process

MATHbookLesson 3: SkyscrapersThe Plot Thickens

Topic 2: Numerical Summaries of Data

MATHbookLesson 1: In the MiddleToy Cars
MATHbookLesson 3: March MADnessHoops

Topic 2: Analyzing Numeric Data Displays

MATHiaLesson 1: Creating Dot PlotsMinimum Wage

Grade 7

Module 1: Thinking Proportionally

Topic 1: Circles and Ratios

MATHbookLesson 1: Pi: The Ultimate RatioMeasuring Around
MATHbookLesson 2: That’s a Spicy Pizza!Why Pi?
MATHbookLesson 2: Circular ReasoningArea Challenges
MATHbook
Lesson 4: Pound for Pount, Inch for Inch
Scaling Machines
Tiles
Scaling Robots

Topic 2: Proportionality

MATHbookLesson 1: Poultry in MotionPaint
MATHbookLesson 6: Minding Your Ps and QsTwo and Two

Topic 3: Proportional Relationships

MATHbookLesson 1: Markups and MarkdownsAll the Equations
100%
MATHbookLesson 4: More Ups and DownsMosaics
More and Less

Topic 3: Scale and Scale Drawing

MATHiaLesson 1: Critical Attributes of Similar FiguresScale Factor Challenges
MATHiaLesson 3: Calculating Measurements Using ScaleMake it Scale
Will It Fit

Topic 4: Ratio Representations

MATHiaLesson 2: Determining Characteristics of Graphs of Proportional RelationshipsDinoPops

Topic 11: Introducing Proportions to Solve Percent Problems

MATHiaLesson 2: Solving Simple Percent ProblemsBack in My Day

Topic 13: Percent Increase and Percent Decrease

MATHiaLesson 1: Calculating Percent Change and Final AmountsPercent Machines

Module 2: Operating with Signed Numbers

Topic 1: Adding and Subtracting Rational Numbers

MATHbookLesson 1: Math FootballFloats and Anchors
MATHbookLesson 2: Walk the LineMore Floats and Anchors
MATHbookLesson 4: What’s the Difference?More Floats and Anchors

Topic 5: Rewriting Expressions

MATHiaLesson 2: Evaluating Simple Numberic Expressions with IntegersInteger Puzzles

Topic 6: Using Number Properties to Interpret Expressions with Signed Numbers

MATHiaLesson 2: Operating with Signed DecimalsDraw Your Own

Module 3: Reasoning Algebraically

Topic 1: Two-Step Expressions and Equations

MATHbookLesson 4: Formally YoursKeeping it True

Topic 2: Multiple Representations of Equations and Inequalities

MATHbookLesson 3: Solving Inequalities with Inverse OperationsUnbalanced Hangers
MATHbook
Lesson 4: Deep Dive
Budgeting
Write Them and Solve Them

Topic 1: Rewriting Algebraic Expressions

MATHiaLesson 2: Rewriting Algebraic Expressions Involving Integer CoefficientsCollect the Squares

Topic 8: Solving Inequalities with Inverse Operations

MATHiaLesson 3: Solving Two-Step InequalitiesI Saw the Signs
Shira the Sheep

Module 4: Analyzing Populations and Probabilities

Topic 1: Introduction to Probability

MATHbookLesson 1: Rolling, Rolling, Rolling…How Likely
Prob-bear-bilities
MATHbookLesson 2: Give the Model a ChanceIs It Fair?

Topic 3: Drawing Inferences

MATHbookLesson 2: Tiles, Gumballs, and PumpkinsCrab Island

Module 5: Constructing and Measuring

Topic 1: Angles and Triangles

MATHbookLesson 2: Special DeliveryFriendly Angles
MATHbookLesson 3: Consider Every SideCan You Build It

Topic 1: Special Angle Relationships

MATHiaLesson 2: Exploring Angle RelationshipsMissing Measures
MATHiaLesson 3: Solving for Angle MeasuresMissing Measures

Grade 8

Module 1: Transforming Geometric Objects

Topic 1: Rigit Motion Transformaitons

MATHbookLesson 1: Patty Paper, Patty PaperTransformers
MATHbookLesson 2: Slides, Flips, and SpinsSpinning, Flipping, Sliding
MATHbookLesson 3: Lateral MovesGetting Coordinated, Part 1
Getting Coordinated, Part 2
MATHbookLesson 4: Mirror, MirrorGetting Coordinated, Part 1
Getting Coordinated, Part 2
MATHbookLasson 5: Half Turnsa and Quarter TurnsGetting Coordinated, Part 1
Getting Coordinated, Part 2
MATHbookLesson 6: Every Which WayTransformation Golf

Topic 2: Dilations

MATHbookLesson 1: Pinch-Zoom GeometrySketchy Dilations
MATHbookLesson 2: Rising, Running, Stepping, ScalingDilation Mini Golf
MATHbookLesson 3: From Here to ThereSocial Scavenger Hunt

Topic 3: Line and Angle Relationships

MATHbookLesson 2: Crisscrsoss ApplesaucePuzzling It Out

Topic 1: Rigid Motion in the Coordinate Plane

MATHiaLesson 1: Experimenting with Rigid MotionMoving Day

Module 2: Modeling Linear Relationships

Topic 1: From Proportions to Linear Relationships

MATHbookLesson 2: Jack and Jill Went Up the HillTurtle Time Trials
MATHbookLesson 4: Up, Down, and All AroundTranslations

Topic 2: Modeling Linear Relationships

MATHbookLesson 2: Been There, Done That, Got the T-shirtWater Cooler
MATHbookLesson 3: Dining, Dancing, DrivingFlags
Ups and Downs
MATHbookLesson 4: Derby DayStacking Cups (Optional)

Topic 3: Systems of Linear Equations

MATHbookLesson 1: Crossing PathsMake Them Balance
MATHbookLesson 2: The Road Less TraveledLine Zapper

Topic 11: Solving Linear Equations with Variables on Both Sides

MATHiaLesson 3: Solving with Variables on Both Sides with RationalsEquation Roundtable

Module 3: Developing Function Foundations

Topic 1: Introduction to Functions

MATHbookLesson 1: Patterns, Sequences, Rules…Guess My Rule
MATHbookLesson 2: Once Upon a GraphTurtle Crossing
MATHbookLesson 4: Over the River and Through the WoodsThe Tortoise and the Hare
Scatter Plot City
Interpreting Slopes

Topic 2: Patterns in Bivariate Data

MATHbookLesson 1: Pass the SqueezeRobots
MATHbookLesson 2: Off the ChainDapper Cats
MATHbookLesson 3: Mia is Growing Like a WeedFind the FIt (called Fit Fights in Desmos Math)
MATHbookLesson 4: The Stroop TestInterpreting Scatter Plots
MATHbookLesson 5: Would You Rather…?Finding Associations

Topic 4: Drawing Lines of Best Fit

MATHiaLesson 1: Estimating Lines of Best FitInterpreting Slopes
MATHiaLesson 2: Using Lines of Best FitAnimal Brains

Module 4: Expanding Number Systems

Topic 2: Pythagorean Theorem

MATHbookLesson 1: The Right ConnectionTriangle Tracing Turtle
MATHbookLesson 4: Catty CornerTaco Truck

Topic 1: The Real Number System

MATHiaLesson 2: Graphing Real Numbers on the Number LineRoot Down

Module 5: Applying Powers

Topic 1: Exponents and Scientific Notation

MATHbookLesson 1: It’s a Generational ThingCircles
MATHbookLesson 2: Show What You KnowPower Pairs
MATHbookLesson 3: The Big and Small of ItSpecific and Scientific (formerly Solar System)
MATHbook
Lesson 4: How Much Larger?
Balance the Scale

Topic 2: Volume of Curved Figures

MATHbookLesson 1: Drum Roll, Please!Cylinders
MATHbookLesson 2: Conse of SilenceCones

Algebra 1

Module 1: Searching for Patterns

Topic 1: Quantities and Relationships

Lesson 3: f of x, Recognizing Functions and Function FamiliesCraft-a-Graph
Pumpkin Prices

Topic 2: Sequences

Lesson 1: Is there a Pattern Here?Visual Patterns
Revisiting Visual Patterns, Part 1
Lesson 2: The Password is Operations!Sequence Carnival
Revisiting Visual Patterns, Part 2
Lesson 3: Did You Mean: Recursion?More Visual Patterns

Topic 3: Linear Regressions

Lesson 1: Like a GlovePenguin Populations
Lesson 2: Gotta Keep It Correlatin’Correlation Coefficient
How Hot Is It?
Behind the Headlines
City Data
Lesson 3: The Residual EffectResidual Fruit
Lesson 4: To Fit or Not To Fit? That Is the Question!City Slopes

Module 2: Exploring Constant Change

Topic 1: Linear Functions

Lesson 1: Connecting the DotsPlane, Train, and Automobile

Topic 2: Solving Linear Equations and Inequalities

Lesson 1: Strike a BalanceWorking Backwards
Solving Strategies
Same Position
Lesson 2: It’s Literally About Literal EquationsSubway Seats
Various Variables
Shelley the Snail
Five Representations
Lesson 3: Not All Statements Are Made EqualPizza Delivery

Topic 3: Systems of Equations and Inequalities

Lesson 1: Double the FunShape It Up
Lizard Lines
Lesson 3: Throwing ShadeSeeking Solutions
Lesson 4: Working with ConstraintsQuilts

Module 3: Investigating Growth and Decay

Topic 1: Introduction to Exponential Functions

Lesson 2: The Power WithinCarlos’s Fish

Topic 2: Using Exponential Equations

Module 4: Describing Distributions

Topic 1: One-Variable Statistics

Lesson 2: A Skewed RealityFinding Desmo

Module 5: Maximizing and Minimizing

Topic 1: Introduction to Quadratic Functions

Lesson 1: Up and Down or Down and UpQuadratic Visual Patterns
On the Fence
Stomp Rockets
Plenty of Parabolas
Robot Launch
Lesson 2: Endless Forms Most BeautifulParabola Zapper
Two for One
Shooting Stars
Lesson 4: You Lose Some, You Lose SomeSorting Relationships

Topic 2: Solving Quadratic Equations

Lesson 4: The Missing LinkSquare Tactic
Lesson 5: The Quadratic FormulaStomp Rockets in Space

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.

Algebra 1

Chapter 1: Solving Linear Equations

Lesson 1.2: Solving Multi-Step EquationsWorking Backwards
Lesson 1.4: Solving Equations with Variables on Both SidesSolving Strategies
Same Position
Lesson 1.6: Rewriting Equations and FormulasSubway Seats
Various Variables

Chapter 2: Solving Linear Inequalities

Lesson 2.1: Writing and Graphing InequalitiesPizza Delivery

Chapter 3: Graphing Linear Functions

Lesson 3.2: Characteristics of FunctionsCraft-a-Graph
Lesson 3.5: Graphing Linear Equations in Standard FormShelley the Snail
Five Representations

Chapter 4: Writing Linear Functions

Lesson 4.4: Scatter Plots and Lines of FitCorrelation Coefficient
How Hot Is It?
City Slopes
Residual Fruit
Penguin Populations
Lesson 4.5: Analyzing Lines of FitBehind the Headlines
City Data
Lesson 4.6: Arithmetic SequencesSequence Carnival
More Visual Patterns
Lesson 4.7: Piecewise Defined FunctionsPumpkin Prices

Chapter 5: Solving Systems of Linear Equations

Lesson 5.1: Solve Systems of Linear Equations by GraphingLizard Lines
Lesson 5.2: Solving Systems of Linear Equations by SubstitutionShape It Up
Lesson 5.4: Solving Special Systems of Linear EquationsLizard Lines
Lesson 5.6: Graphing Linear Inequalities in Two VariablesQuilts
Lesson 5.7: Systems of Linear InequalitiesSeeking Solutions

Chapter 6: Exponential Functions and Sequences

Lesson 6.3: Exponential FunctionsCarlos’s Fish
Lesson 6.6 Geometric SequencesSequence Carnival
More Visual Patterns

Chapter 6 Performance Task

Chapter 8: Graphing Quadratic Functions

Lesson 8.1: Graphing f(x)=Ax^2Revisiting Visual Patterns, Part 1
Quadratic Visual Patterns
On the Fence
Lesson 8.2: Graphing f(x)=Ax^2+CPlenty of Parabolas
Lesson 8.3: Graphing f(x)=Ax^2+Bx+CStomp Rockets
Lesson 8.4: Graphing f(x)=A(x-h)^2+kRobot Launch
Lesson 8.5: Using Intercept FormTwo for One
Parabola Zapper
Shooting Stars
Lesson 8.6: Comparing Linear, Exponential, and Quadratic FunctionsPlane, Train, and Automobile
Sorting Relationships

Chapter 9: Solving Quadratic Equations

Lesson 9.4: Solving Quadratic Equations by Completing the SquareSquare Tactic
Lesson 9.5: Solving Quadratic Equations using the Quadratic FormulaStomp Rockets in Space

Chapter 10: Radical Functions and Equations

Lesson 10.4: Inverse of a FunctionChip the Robot

Chapter 11: Data Analysis and Displays

Chapter 11: Data Analysis and DisplaysFinding 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.

Eureka Math® crosswalk to Amplify Desmos Math free lessons

Grade 6

Module 1: Ratios and Unit Rates

Eureka MathAmplify Classroom
Topic A Representing and Reasoning About Ratios 
Lesson 3: Equivalent Ratios
Lesson 4: Equivalent Ratios
Unit 2
Lesson 4: Fruit Lab
Topic C Unit Rates 
Lesson 16: From Ratio to RatesUnit 3
Lesson 6: Soft Serve
Lesson 18: Finding a Rate by Dividing Two QuantitiesUnit 3
Lesson 6: Soft Serve
Lesson 24: Percent and Rates per 100Unit 3
Lesson 9: Lucky Duckies

Module 2: Arithmetic Operations Including Division of Fractions

Topic A Dividing Fractions by Fractions
Lesson 2: Interpreting Division of a Whole Number by a Fraction —Visual Models.Unit 4
Lesson 3: Flour Planner
Lesson 3: Interpreting and Computing Division of a Fraction by a Fraction—More Models
Lesson 4: Interpreting and Computing Division of a Fraction by a Fraction—More Models
Unit 4
Lesson 6: Fill the Gap
Lesson 8: Dividing Fractions and Mixed NumbersUnit 4
Lesson 6: Fill the Gap
Topic B Multi-Digit Decimal Operations—Adding, Subtracting, and Multiplying
Lesson 9: Sums and Differences of DecimalsUnit 5
Lesson 2: Decimal Diagrams and Algorithms

Module 3: Rational Numbers

Topic B Order and Absolute Value
Lesson 7: Ordering Integers and Other Rational Numbers
Lesson 8: Ordering Integers and Other Rational Numbers
Lesson 9: Comparing Integers and Other Rational Numbers
Unit 7Lesson 4: Order in the Class

Module 4: Expressions and Equations

Topic D Expanding, Factoring, and Distributing Expressions 
Lesson 9: The Relationship of Addition and SubtractionUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 10: Writing and Expanding Multiplication Expressions
Lesson 11: Factoring Expressions
Lesson 12: Distributing Expressions
Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Topic F Writing and Evaluating Expressions and Formulas 
Lesson 18: Writing and Evaluating Expressions—Addition and Subtraction
Lesson 19: Substituting to Evaluate Addition and Subtraction Expressions
Lesson 20: Writing and Evaluating Expressions—Multiplication and Division
Lesson 21: Writing and Evaluating Expressions—Multiplication and Addition
Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Topic G Solving Equations 
Lesson 23: True and False Number Sentences
Lesson 24: True and False Number Sentences
Unit 6
Lesson 1: Weight for It
Lesson 25: Finding Solutions to Make Equations TrueUnit 6
Lesson 1: Weight for It
Lesson 26: One-Step Equations—Addition and SubtractionUnit 6
Lesson 1: Weight for It
Topic H Applications of Equations 
Lesson 33: From Equations to Inequalities
Lesson 34: Writing and Graphing Inequalities in Real-World Problems
Unit 7
Lesson 7: Tunnel Travels

Module 5: Area, Surface Area, and Volume Problems

Topic A: Area of Triangles, Quadrilaterals, and Polygons
Lesson 1: The Area of Parallelograms Through Rectangle FactsUnit 1
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2
Topic D Nets and Surface Area 
Lesson 18: Determining Surface Area of Three-Dimensional FiguresUnit 1
Lesson 10: Renata’s Stickers

Module 6: Statistics

Topic A Understanding Distributions 
Lesson 2: Displaying a Data Distribution
Lesson 3: Creating a Dot Plot
Unit 8
Lesson 3: Minimum Wage
Lesson 4: Creating a Histogram
Lesson 5: Describing a Distribution Displayed in a Histogram
Unit 8
Lesson 5: The Plot Thickens
Topic C Summarizing a Distribution That Is Skewed Using the Median and the Interquartile Range 
Lesson 12: Describing the Center of a Distribution Using the MedianUnit 8
Lesson 11: Toy Cars
Topic D Summarizing and Describing Distributions 
Lesson 18: Connecting Graphical Representations and Numerical SummariesUnit 8
Lesson 5: The Plot Thickens
Lesson 3: Creating a Dot PlotUnit 8
Lesson 3: Minimum Wage

Grade 7

Module 1: Ratios and Proportional Relationships

Eureka MathAmplify Classroom
Topic A Proportional Relationships 
Lesson 1: An Experience in Relationships as Measuring RateUnit 2
Lesson 1: Paint
 
Unit 4
Lesson 1: Mosaics
Lesson 5: Identifying Proportional and Non-Proportional Relationships in Graphs
Lesson 6: Identifying Proportional and Non-Proportional Relationships in Graphs
Unit 2
Lesson 8: Dino Pops
Topic B Unit Rate and the Constant of Proportionality 
Lesson 8: Representing Proportional Relationships with Equations
Lesson 9: Representing Proportional Relationships with Equations
Unit 2
Lesson 6: Two and Two
Lesson 10: Interpreting Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops
Topic C Ratios and Rates Involving Fractions 
Lesson 11: Ratios of Fractions and Their Unit Rates
Lesson 12: Ratios of Fractions and Their Unit Rates
Unit 2
Lesson 6: Two and Two
Lesson 15: Equations of Graphs of Proportional Relationships Involving FractionsUnit 2
Lesson 8: Dino Pops
Topic D Ratios of Scale Drawings 
Lesson 16: Relating Scale Drawings to Ratios and RatesUnit 1
Lesson 1: Scaling Machines
Lesson 18: Computing Actual Lengths from a Scale DrawingUnit 1
Lesson 7: Will It Fit?
Lesson 19: Computing Actual Areas from a Scale DrawingUnit 1
Lesson 7: Will It Fit?

Module 2: Rational Numbers

Topic A Addition and Subtraction of Integers and Rational Numbers 
Lesson 1: Opposite Quantities Combine to Make ZeroUnit 5
Lesson 1: Floats and Anchors
Lesson 2: Using the Number Line to Model the Addition of Integers
Lesson 3: Understanding Addition of Integers
Lesson 4: Efficiently Adding Integers and Other Rational Numbers
Lesson 5: Understanding Subtraction of Integers and Other Rational Numbers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 7: Addition and Subtraction of Rational NumbersUnit 5
Lesson 4: Draw Your Own
Lesson 10; Integer Puzzles
Topic B Multiplication and Division of Integers and Rational Numbers 
Lesson 10: Understanding Multiplication of Integers
Lesson 11: Develop Rules for Multiplying Signed Numbers
Unit 5
Lesson 10: Integer Puzzles
Lesson 15: Multiplication and Division of Rational NumbersUnit 5
Lesson 10: Integer Puzzles

Module 3: Expressions and Equations

Topic A Use Properties of Operations to Generate Equivalent Expressions 
Lesson 3: Writing Products as Sums and Sums as Products
Lesson 4: Writing Products as Sums and Sums as Products
Unit 6
Lesson 10: Collect the Squares
Topic B Solve Problems Using Expressions, Equations, and Inequalities 
Lesson 8: Using If-Then Moves in Solving Equations
Lesson 9: Using If-Then Moves in Solving Equations
Unit 6Lesson 10: Collect the Squares
Lesson 10: Angle Problems and Solving EquationsUnit 7
Lesson 2: Friendly Angles
Lesson 4: Missing Measures
Lesson 12: Properties of Inequalities
Lesson 13: Inequalities
Lesson 14: Solving Inequalities
Unit 6
Lesson 16: Shira the Sheep
Topic C Use Equations and Inequalities to Solve Geometry Problems 
Lesson 16: The Most Famous Ratio of AllUnit 3
Lesson 3: Measuring Around
Lesson 17: The Area of a CircleUnit 3
Lesson 9: Area Challenges
Lesson 18: More Problems on Area and CircumferenceUnit 3
Lesson 9: Area Challenges

Module 4: Percent and Proportional Relationships

Topic A Finding the Whole 
Lesson 1: PercentUnit 4
Lesson 1: Mosaics
Lesson 2: Part of a Whole as a PercentUnit 4
Lesson 1: Mosaics
Lesson 3: Comparing Quantities with PercentUnit 4
Lesson 1: Mosaics
Lesson 4: Percent Increase and DecreaseUnit 4
Lesson 5: Percent MachinesLesson 12: Posing Percent Problems(coming soon!)
Lesson 5: Finding One Hundred Percent Given Another Percent 
Lesson 6: Fluency with PercentsUnit 4
Lesson 5: Percent MachinesLesson 12: Posing Percent Problems(coming soon!)
Topic B Percent Problems Including More Than One Whole 
Lesson 7: Markup and Markdown ProblemsUnit 4
Lesson 5: Percent MachinesLesson 12: Posing Percent Problems(coming soon!)
Lesson 8: Percent Error Problems
Lesson 9: Problem Solving When the Percent Changes
Unit 4
Lesson 5: Percent MachinesLesson 12: Posing Percent Problems(coming soon!)
Lesson 10: Simple Interest 
Lesson 11: Tax, Commissions, Fees, and Other Real-World Percent ApplicationsUnit 4
Lesson 12: Posing Percent Problems
(coming soon!)
Topic C Scale Drawings 
Lesson 13: Changing ScalesUnit 1
Lesson 1: Scaling Machines
Lesson 7: Will It Fit?
Lesson 14: Computing Actual Lengths from a Scale DrawingUnit 1
Lesson 7: Will It Fit?
Topic D Population, Mixture, and Counting Problems Involving Percents 
Lesson 16: Population ProblemsUnit 8
Lesson 10: Crab Island

Module 5: Statistics and Probability

Topic A Calculating and Interpreting Probabilities 
Lesson 1: Chance ExperimentsUnit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities
Topic C Random Sampling and Estimating Population Characteristics 
Lesson 13: Populations, Samples, and Generalizing from a Sample to a PopulationUnit 8
Lesson 10: Crab Island
Lesson 14: Selecting a Sample
Lesson 15: Random Sampling
Lesson 16: Methods for Selecting a Random Sample
Unit 8
Lesson 10: Crab Island
Topic D Comparing Populations 
Lesson 22: Using Sample Data to Compare the Means of Two or More Populations
Lesson 23: Using Sample Data to Compare the Means of Two or More Populations
Unit 8
Lesson 10: Crab Island

Module 6: Geometry

Topic A Unknown Angles 
Lesson 1: Complementary and Supplementary AnglesUnit 7
Lesson 2: Friendly Angles
Lesson 2: Solving for Unknown Angles Using Equations
Lesson 3: Solving for Unknown Angles Using Equations
Lesson 4: Solving for Unknown Angles Using Equations
Unit 7
Lesson 4: Missing Measures
Topic B Constructing Triangles 
Lesson 8: Drawing TrianglesUnit 7
Lesson 5: Can You Build It?
Lesson 11: Conditions on Measurements That Determine a TriangleUnit 7
Lesson 5: Can You Build It?
Topic D Problems Involving Area and Surface Area 
Lesson 22: Area Problems with Circular RegionsUnit 3
Lesson 9: Area Challenges

Grade 8

Module 1: Integer Exponents and Scientific Notation

Eureka MathAmplify Classroom
Topic A Exponential Notation and Properties of Integer Exponents 
Lesson 1: Exponential NotationUnit 7 
Lesson 1: Circles
Lesson 2: Multiplication of Numbers in Exponential Form
Lesson 3: Numbers in Exponential Form Raised to a Power
Unit 7 
Lesson 3: Power Pairs
Topic B Magnitude and Scientific Notation 
Lesson 9: Scientific Notation
Lesson 10: Operations with Numbers in Scientific Notation
Unit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Module 2: The Concept of Congruence

Topic A Definitions and Properties of the Basic Rigid Motions 
Lesson 1: Why Move Things Around?
Lesson 2: Definition of Translation and Three Basic Properties
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 3: Translating LinesUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Definition of Reflection and Basic Properties
Lesson 5: Definition of Rotation and Basic Properties
Lesson 6: Rotations of 180 Degrees
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Topic B Sequencing the Basic Rigid Motions 
Lesson 9: Sequencing Rotations
Lesson 10: Sequences of Rigid Motions
Unit 1
Lesson 13: Tessellate
Lesson 14: More on the Angles of a TriangleUnit 1 
Lesson 12: Puzzling It Out

Module 3: Similarity

Topic A Dilation 
Lesson 1: What Lies Behind “Same Shape”?Unit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 2: Properties of Dilations
Lesson 3: Examples of Dilations
Unit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 4: Fundamental Theorem of Similarity
Lesson 5: First Consequences of FTS
Unit 2
Lesson 6: Social Scavenger Hunt
Topic B Similar Figures 
Lesson 8: Similarity
Lesson 9: Basic Properties of Similarity
Unit 2
Lesson 6: Social Scavenger Hunt
Topic C The Pythagorean Theorem 
Lesson 13: Proof of the Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle

Module 4: Linear Equations

Topic A Writing and Solving Linear Equations 
Lesson 4: Solving a Linear EquationUnit 4
Lesson 5: Equation Roundtable
Lesson 5: Writing and Solving Linear EquationsUnit 4
Lesson 5: Equation Roundtable
Lesson 6: Solutions of a Linear EquationUnit 4
Lesson 5: Equation Roundtable
Topic B Linear Equations in Two Variables and Their GraphsUnit 3
Lesson 4: Flags
Lesson 10: A Critical Look at Proportional RelationshipsUnit 3
Lesson 1: Turtle Time TrialsLesson 4: Flags
Lesson 11: Constant RateUnit 3
Lesson 4: Flags
Lesson 13: The Graph of a Linear Equation in Two VariablesUnit 3 
Lesson 4: Flags
Topic C Slope and Equations of Lines 
Lesson 15: The Slope of a Non-Vertical LineUnit 3
Lesson 4: Flags
Lesson 18: There Is Only One Line Passing Through a Given Point with a Given SlopeUnit 3
Lesson 4: Flags
Lesson 19: The Graph of a Linear Equation in Two Variables Is a LineUnit 3
Lesson 4: Flags
Lesson 20: Every Line Is a Graph of a Linear EquationUnit 3
Lesson 4: Flags
Lesson 22: Constant Rates RevisitedUnit 3
Lesson 1: Turtle Time Trials
Topic D Systems of Linear Equations and Their Solutions 
Lesson 25: Geometric Interpretation of the Solutions of a Linear SystemUnit 4  
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Module 5: Examples of Functions from Geometry

Topic A Functions 
Lesson 1: The Concept of a FunctionUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 2: Formal Definition of a FunctionUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 3: Linear Functions and ProportionalityUnit 3
Lesson 1: Turtle Time Trials
Lesson 5: Graphs of Functions and EquationsUnit 5
Lesson 5: The Tortoise and the Hare
Lesson 6: Graphs of Linear Functions and Rate of ChangeUnit 3
Lesson 4: Flags
Lesson 7: Comparing Linear Functions and GraphsUnit 5
Lesson 5: The Tortoise and the Hare
Topic B Volume 
Lesson 10: Volumes of Familiar Solids—Cones and CylindersUnit 5
Lesson 11: Cylinders

Module 6: Linear Functions

Topic A Linear Functions 
Lesson 2: Interpreting Rate of Change and Initial ValueUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Increasing and Decreasing Functions
Lesson 5: Increasing and Decreasing Functions
Unit 5
Lesson 1: Turtle CrossingLesson 5: The Tortoise and the Hare
Topic B Bivariate Numerical Data 
Lesson 6: Scatter Plots
Lesson 7: Patterns in Scatter Plots
Unit 6 
Lesson 3: Robots
Lesson 8: Informally Fitting a LineUnit 6
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Lesson 10: Linear Models
Lesson 11: Using Linear Models in a Data Context
Unit 5
Lesson 5: The Tortoise and the Hare
Topic D Bivariate Categorical Data 
Lesson 14: Association Between Categorical VariablesUnit 6
Lesson 11: Finding Associations

Module 7: Introduction to Irrational Numbers Using Geometry

Topic A Square and Cube Roots 
Lesson 2: Square RootsUnit 8
Lesson 4: Root Down
Lesson 4: Simplifying Square RootsUnit 8
Lesson 4: Root Down
Topic C The Pythagorean Theorem 
Lesson 18: Applications of the Pythagorean TheoremUnit 8
Lesson 10: Taco Truck

Algebra 1

Module 1: Relationships Between Quantities and Reasoning with Equations and Their Graphs

Topic A: Introduction to Functions Studied this Year—Graphing Stories

Lesson 1: Graphs of Piecewise FunctionsPumpkin Prices
Lesson 2: Graphs of Quadratic FunctionsRevisiting Visual Patterns, Part 1
Quadratic Visual Patterns

Topic C: Solving Equations and Inequalities

Lesson 10: True and False EquationsSame Position
Lesson 11: Solution Sets for Equations and InequalitiesWorking Backwards
Solving Strategies
Shelley the Snail
Lesson 19: Rearranging FormulasSubway Seats
Various Variables
Lesson 21: Solution Sets to Inequalities with Two VariablesPizza Delivery
Lesson 22 & Lesson 23: Solution Sets to Simultaneous Equations (and Inequalities)Shape It Up
Lizard Lines
Quilts
Seeking Solutions

Module 2: Descriptive Statistics

Topic D: Numerical Data on Two Variables

Lesson 14: Modeling Relationships with a LineCity Slopes
Residual Fruit
Penguin Populations
Lesson 19: Interpreting CorrelationCorrelation Coefficient
How Hot Is It?
Behind the Headlines
City Data

Module 3: Linear and Exponential Functions

Topic A: Linear and Exponential Sequences

Lesson 3: Arithmetic and Geometric SequencesSequence Carnival
More Visual Patterns
Lesson 5: The Power of Exponential GrowthCarlos’s Fish

Topic B: Describing Variability and Comparing Distributions

Lesson 4: Summarizing Deviations from the MeanFinding Desmo
Lesson 13: Interpreting the Graph of a FunctionCraft-a-Graph
Lesson 14: Linear and Exponential Models – Comparing Growth RatesDetroit’s Population, Part 1
Detroit’s Population, Part 2

Topic D: Using Functions and Graphs to Solve Problems

Lesson 21: Comparing Linear and Exponential Models AgainPlane, Train, and Automobile
Lesson 21: Comparing Linear and Exponential Models AgainCarlos’s Fish

Module 4: Polynomial and Quadratic Expressions, Equations, and Functions

Topic A: Quadratic Expressions, Equations, Functions, and Their Connection to Rectangles

Lesson 8: Exploring the Symmetry in Graphs of Quadratic FunctionsOn the Fence
Plenty of Parabolas
Robot Launch
Lesson 9: Graphing Quadratic Functions from Factored Form, 𝑓(𝑥)=𝑎(𝑥−𝑚)(𝑥−𝑛)Two for One
Parabola Zapper
Shooting Stars
Lesson 10: Interpreting Quadratic Functions from Graphs and TablesStomp Rockets

Topic B: Using Different Forms for Quadratic Functions

Lessons 11–12: Completing the SquareSquare Tactic
Lesson 15: Using the Quadratic FormulaStomp Rockets in Space

Topic C: Function Transformations and Modeling

Lesson 18: Graphing Cubic, Square Root, and Cube Root FunctionsSorting Relationships
Lesson 22: Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different WaysSorting Relationships

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, San Diego Unified School District!

At Amplify, we partner with you to engage all students deeply with high quality content while also providing teachers with powerful tools that support remote and hybrid learning. We’ll be by your side with new resources and product enhancements to ensure continuity of learning in Amplify Science, Amplify ELA, and Amplify Desmos Math.

Choose a program below for implementation resources, including onboarding videos, program overviews, information about professional learning sessions, and more.

Amplify Science

Amplify ELA

Amplify Desmos Math caregivers: K – 5th Grade

Amplify Desmos Math caregivers: 6th – 8th Grade

Amplify Desmos Math implementation

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Questions?

Amplify Support
Monday through Friday, 4 a.m.–4 p.m. PT
Saturday through Sunday, 8 a.m.–4 p.m. PT
(800) 823-1969
help@amplify.com

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Kirk Van Wagoner

Senior Account Executive

kvanwagoner@amplify.com

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JeMele Moore

Associate Director, Customer Success

jmoore@amplify.com

Welcome, Minnesota educators!

Thank you for taking the time to review Amplify’s CKLA resources for K–5.

Amplify Core Knowledge Language Arts® (CKLA) is an effective core literacy resource for students in grades K–5. CKLA was developed in partnership with the Core Knowledge Foundation and was specifically designed to help teachers implement proven evidence-based instructional practices. CKLA is all green on EdReports- read the full review on EdReports.org.

Click here for correlations to the Minnesota Learning Standards.

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Virtual presentations

Amplify CKLA for Grades K–2

Amplify CKLA for Grades 3–5

About CKLA

Amplify CKLA is a core ELA program for grades K–5 that delivers:

  • A combination of explicit foundational skills with meaningful knowledge-building.
  • Embedded support and differentiation that get all students reading grade-level texts together.
  • Opportunities for students to see the strengths and experiences that all people share while celebrating each others’ unique identities and experiences.
  • Authentic Spanish language arts instruction with Amplify Caminos.

How it Works

Amplify CKLA teaches both foundational skills and background knowledge in grades K–2 and combines them in 3–5.

  • In grades K–2, students complete one full lesson that builds foundational reading skills and one full lesson that builds background knowledge.
  • In grades 3–5, students complete one integrated lesson combining skills and knowledge with increasingly complex texts, close reading, and a greater emphasis on writing

What students Explore

Amplify CKLA builds knowledge coherently across subjects and grades.

Students make connections from year to year by exploring 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.

What students read

Amplify CKLA puts a variety of texts in the hands of students every day to build and strengthen background knowledge and vocabulary, listening and reading comprehension, and decoding and fluency skills.

A comprehensive approach to literacy instruction requires students to have a wide range of text experiences, including reading, listening, discussing, and writing. Check out our text complexity guide to learn more by clicking here. Most questions, tasks, and assignments in CKLA materials are text-dependent. See how we use questioning and analysis skills to help students understand text in CKLA here.

More than that, we ensure the texts students read represent the world around them. With a diverse range of authors, topics, and characters, all students have ample access to both windows and mirrors. Our texts include the following:

  • Authentic books
  • Authentic text passages
  • Student Readers
  • Novel Guides (grades 3–5)

Download a list of K-5 student texts.

Six children's book covers arranged in two rows, featuring colorful illustrations of animals, people, and nature. Titles include "Rain Player," "A More Perfect Union," and "The Busy Body Book.

Supports LETRS

Amplify CKLA aligns with the instructional principles recommended by 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.

A comprehensive and cohesive solution

A strong literacy program is more than a reading program or an assessment tool: it combines curriculum, instruction, regular practice, intervention, and assessments.

Amplify has brought these components together in our early literacy curriculum suite to ensure you have what you need for multi-tiered support.

Infographic describing a cycle of K–5 literacy solutions: mCLASS screening, Amplify CKLA instruction, digital and staff-led interventions, and professional development within an early literacy suite grounded in the science of reading.

Trial Access

Ready to explore on your own? Follow the instructions below to access your demo account.

Explore CKLA’s digital site:

Go to my.amplify.com
Select Log in with Amplify
Teacher login: t1.mde-mn@demo.tryamplify.net
Password: Amplify1-mde-mn
Select the CKLA icon and your desired grade level

Screenshot of the CKLA curriculum webpage displaying a list of materials, including Activity Book, Teacher Guide, Answer Key, and other educational resources.

Additional Resources

Check out the information below to learn more about Amplify CKLA and see how Amplify CKLA is impacting classrooms all over the country.

State-approved | Grades 6–8 and Algebra 1

Amplify Math for Idaho

Dear Idaho math educators,

We’re honored that you’re reviewing Amplify Math for use with your middle school students.

We’re confident you’ll find this Idaho-approved program to be a powerful tool for getting all your students talking and thinking about math concepts together.

On this site, you’ll find a variety of resources to guide you in your review, including demo account access. We look forward to meeting you and showing you what makes this program so unique.

Yvonne Rhode and Kristen Rockstroh
Idaho Account Executives

A miniature yellow van with luggage on top is parked next to a small stop sign, with a blurred, colorful vehicle in the background. Text reads: "Your literacy journey stops here!.

Virtual Caravan Stop

Amplify Math isn’t your traditional core math program. It’s different to make a difference—and the results are simply undeniable. Watch our virtual caravan presentations to the right and learn about the research-based approaches built right into this high-quality solution. Plus, see how Amplify Math brings student-centered learning to life for students in grades 6–8.

What it is

Amplify Math is a brand-new program based on the highly-rated Illustrative Mathematics curriculum IM K–12 Math™️.

It’s designed around the idea that a core math curriculum needs to serve 100 percent of students in accessing grade-level math every day. To that end, Amplify Math delivers:

  • Engaging, discourse-rich math lessons that are easier to teach.
  • Flexible, social problem-solving experiences both online and off.
  • Real-time insights, data, and reporting that inform instruction.
amplify math middle schoolers in classroom

How it works

Amplify Math delivers the instructional power of student-centered learning packaged in a lesson format that is easy and manageable. With easy-to-follow instructional supports, implementing a problem-based program becomes more effective and enjoyable for both you and your students. Paired with our digital experience, math class becomes fun and dynamic, with plenty of opportunities for students to talk through their reasoning, work with their peers, and gain new understandings.

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Featuring Desmos and more

Desmos digital lessons

Digital lessons should be powerful in their ability to surface student thinking and spark interesting and productive discussions. We’ve partnered with Desmos to bring this vision to life with our complete library of social, collaborative lessons powered by Desmos technology.

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Engaging student experience

Relevant content and interactive math tools create an intuitive and engaging student experience. Plus, working together in real time allows them to see that communicating their ideas and learning from each other are important parts of math class.

A diagram on a tablet screen shows a person holding multiple leashes, each attached to a different colored dog. Text describes a walking challenge activity.

Visibility into student thinking

Imagine having more visibility into your students’ mathematical thinking. Now imagine students have access to this same information. With Amplify Math’s collaborative lesson interface and teacher dashboard, students can’t hide. What’s more, they have visibility into the thinking of their peers—exposing them to a wider variety of approaches to solving the same problem.

A computer screen shows a student response interface, displaying a comment explaining why a square is a type of rectangle.

Pre-requisite skill building

Power-ups provide just-in-time support to help student strengthen pre-requisite skills before engaging in whole-class activities. Power-ups ensure all students have a chance to experience success in the day’s lesson even if they might be several years behind. Not teaching online? They’re available in the Teacher Edition, too.

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Ready-to-teach lesson slides

Every lesson of Amplify Math includes ready-to-teach lesson slides complete with step-by-step teaching notes, suggested student and teacher responses, options for differentiating instruction, links to useful resources, and tips for supporting students through common trouble-spots. Teacher can also customize their lesson slides, adding their own flavor, flair, and favorite problems—enabling them to truly make the lesson their own.

A laptop screen displays an educational interface with a colorful geometric shape, shape options to choose from, and instructional text on the right side.

Presentation sync and student pacing

Being able to control what slides students see and when gives teachers the ability to control the pace of the lesson to suite the needs of the class. When Presentation Sync is turned on, students can access all the slides in the lesson. When it’s off, it ensures students’ screens follow the teacher’s. Teachers can also set a range of slides, which allows students to work at their own pace within the unlocked slides only.

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Standards-level reports

Not only do our reports show progress toward standards mastery, they include detail on how students performed against the standard in the past and how many more encounters are yet to come. This feature alone helps teachers prioritize instruction and intervene with additional resources when necessary.

A computer screen displays a New York math skills tracking interface, highlighting standard 6.EE.C.9, with progress indicators and a class average score of 74% shown in a yellow pie chart.

Focus on math identify

Helping students develop strong, healthy, and flexible math identities is a cornerstone of Amplify Math. Throughout the program, students are taught that they themselves are mathematicians, that today’s math was largely shaped by a diverse range of mathematicians who deserve to be learned about, and that learning is never finished.

Illustration of a laptop displaying various colorful icons and graphics representing diverse professions and historical figures on its screen, emphasizing illustrative mathematics and desmos math concepts through its displayed content.

Access demo

Ready to explore the program? Follow these simple instructions to access our program digitally.

  • Watch the video to the right or use this document to learn how to navigate our print and digital components.
  • Click the Access demo button.
  • Select Log in with Amplify.
  • Enter the login credentials found on the unique login flyer provided. If no login flyer was provided, use the following credentials:
    • Username: t1.idahomath8@demo.tryamplify.net
    • Password: Amplify1-idahomath8
  • Click on any of the six units to explore.

Contact us

Support is always within reach. Our team is dedicated to supporting districts across Idaho and can be reached at any time by emailing HelloIdaho@amplify.com or by calling us directly.

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Yvonne Rhode

Sr. Account Executive

Districts over 4,700 students

(480) 673-0019

yrohde@amplify.com

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Kristen Rockstroh, M.Ed.

Account Executive

Districts under 4,700 students

(480) 639-8367

krockstroh@amplify.com

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Fawn Nguyen

Math Specialist

(805) 328-1115

fnguyen@amplify.com

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Francis Ogata

Math Specialist

(916) 521-1467

fogata@amplify.com

Welcome, Nebo SD, to Amplify CKLA!

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.

Truly built on the Science of Reading, Amplify CKLA helps all teachers implement the Utah Core Standards for English Language Arts and Literacy by translating the science of reading into manageable, engaging, and effective classroom practices.

Scroll down to learn how CKLA is uniquely designed to help all your students make learning leaps in literacy.

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Recognized Quality

Amplify CKLA is one of only a few high-quality, knowledge-building literacy curricula recognized by the Knowledge Matters campaign. Our shared message: Background knowledge is essential to literacy and learning.

Diagram displaying the "knowledge matters campaign" with connections between "core knowledge language arts comprehension," "skills word recognition," and "amplify ckla skilled reading.

Science of Reading Approved by USBE

Amplify CKLA is a content-rich literacy curriculum that systematically braids knowledge-building with skills instruction. Click below to see our state submission rubric on how Amplify CKLA addresses the Science of Reading requirements outlined in SB 127.

Independently and rigorously reviewed

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 literacy program that excels in building knowledge.

Intentional knowledge-building

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.

Program Overview

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.
  • Authentic Spanish language arts instruction with Amplify Caminos.

Amplify CKLA for Grades K–2

After watching the K–2 video below, scroll down to learn even more, download resources, and access a demo.

Amplify CKLA for Grades 3–5

After watching the 3–5 video below, scroll down to learn even more, download resources, and access a demo.

How it works

Amplify CKLA teaches both foundational skills and background knowledge in K–2 and combines them in 3–5, as required by the science of reading.

  • In grades K–2, students complete one full lesson that builds foundational reading skills, as well as one full lesson that builds background knowledge.
  • In grades 3–5, student complete one integrated lesson that combines skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis.
A flowchart showing word recognition and language comprehension strands intertwining to form skilled reading, with progression labeled as increasingly automatic and strategic.

Rich topics

Amplify CKLA builds knowledge coherently across subjects and grades.

Students make connections from year-to-year by exploring 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.

Illustration showing diverse cultural representations: two native american figures, a bear in a forest, and a medieval european woman, all set against colorful abstract backgrounds.

Diverse text

Amplify CKLA puts a variety of texts in the hands of students every day to build and strengthen background knowledge and vocabulary, listening and reading comprehension, and decoding and fluency skills.

More than that, we ensure the texts students read represent the world around them. With a diverse range of authors, topics, and characters, all students have ample access to both windows and mirrors. Our texts include:

  • Authentic books.
  • Authentic text passages.
  • Student Readers.
  • Novel Guides (grades 3–5).
Six children's book covers arranged in two rows, featuring colorful illustrations of animals, people, and nature. Titles include "Rain Player," "A More Perfect Union," and "The Busy Body Book.

Aligned to LETRS and Orton Gillingham

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

Universal access

We believe we have a responsibility to provide literacy instruction that gives every student the same opportunity to succeed and excel.

We know that early reading affects achievement throughout school and beyond—well into college and career. Yet most literacy programs continue to fall short of supporting early literacy success. That’s why we’re so proud that CKLA is helping close the reading gap between students within diverse communities.

A boy with glasses smiles while reading a book, with illustrated objects like a telescope, gourd, and cartoon insect in the background.

Complete curriculum

A strong literacy program is not just about a reading program or an assessment tool: it brings together curriculum, instruction, regular practice, intervention, and assessments.

Amplify has brought these components together in our early literacy suite of curriculum, ensure that you have what you need for multi-tiered support.

Science of Reading Resources

Watching students learn to read: magic. Knowing how they get there: science.

As you consider your next core ELA program, it’s critically important to understand what the Science of Reading really means and what it tells us about how to teach more effectively. Unlike other programs, Amplify CKLA was built upon these insights and practices, making it easier for teachers to implement this proven approach.

A girl runs outdoors holding a kite with colorful ribbons labeled knowledge, vocabulary, sentences, connections, gist, sounds, letters, and words.

Access demo

Ready to explore on your own? Follow the instructions below to access your demo account.

Explore the CKLA Teacher Digital Resources

First, watch the quick navigation video to the right. Then, follow the directions below.

  • Go to: learning.amplify.com or click the Access CKLA Teacher Digital button below
  • Select Log in with Amplify.
  • Enter this username: t1.nebocklak5@demo.tryamplify.net
  • Enter this password: Amplify1-nebocklak5
  • Click the CKLA button
  • Select your desired grade level from the Program drop down

Explore the CKLA Student Digital Resources

Follow the directions below to access the Student Resource Site:

  • Go to: learning.amplify.com or click the Access CKLA Student Digital button below
  • Select Log in with Amplify.
  • Enter this username: s1.nebocklak5@demo.tryamplify.net
  • Enter this password: Amplify1-nebocklak5
  • From the main page, click the backpack in the top right corner.
  • Click on the grade level to select your desired grade.

Welcome to Amplify CKLA!

To view this protected page, enter the password below:



Welcome to Amplify CKLA!

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.

Truly built on the Science of Reading, Amplify CKLA helps all teachers implement the Utah Core Standards for English Language Arts and Literacy by translating the science of reading into manageable, engaging, and effective classroom practices.

Scroll down to learn how CKLA is uniquely designed to help all your students make learning leaps in literacy.

Illustration featuring diverse cultural and historical elements like an african woman, an egyptian sphinx, a space rocket, and urban and natural landscapes under a starry sky.

Recognized Quality

Amplify CKLA is one of only a few high-quality, knowledge-building literacy curricula recognized by the Knowledge Matters campaign. Our shared message: Background knowledge is essential to literacy and learning.

Diagram displaying the "knowledge matters campaign" with connections between "core knowledge language arts comprehension," "skills word recognition," and "amplify ckla skilled reading.

Science of Reading Approved by USBE

Amplify CKLA is a content-rich literacy curriculum that systematically braids knowledge-building with skills instruction. Click below to see our state submission rubric on how Amplify CKLA addresses the Science of Reading requirements outlined in SB 127.

Independently and rigorously reviewed

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 literacy program that excels in building knowledge.

Intentional knowledge-building

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.

Program Overview

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.
  • Authentic Spanish language arts instruction with Amplify Caminos.

Amplify CKLA for Grades K–2

After watching the K–2 video below, scroll down to learn even more, download resources, and access a demo.

Amplify CKLA for Grades 3–5

After watching the 3–5 video below, scroll down to learn even more, download resources, and access a demo.

How it works

Amplify CKLA teaches both foundational skills and background knowledge in K–2 and combines them in 3–5, as required by the science of reading.

  • In grades K–2, students complete one full lesson that builds foundational reading skills, as well as one full lesson that builds background knowledge.
  • In grades 3–5, student complete one integrated lesson that combines skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis.
A flowchart shows language comprehension and word recognition strands merging into skilled reading, with processes becoming increasingly strategic and automatic.

Rich topics

Amplify CKLA builds knowledge coherently across subjects and grades.

Students make connections from year-to-year by exploring 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.

Illustration showing diverse cultural representations: two native american figures, a bear in a forest, and a medieval european woman, all set against colorful abstract backgrounds.

Diverse text

Amplify CKLA puts a variety of texts in the hands of students every day to build and strengthen background knowledge and vocabulary, listening and reading comprehension, and decoding and fluency skills. Our texts include:

  • Authentic books.
  • Authentic text passages.
  • Student Readers.
  • Novel Guides (grades 3–5).

More than that, we ensure the texts students read represent the world around them. With a diverse range of authors, topics, and characters, all students have ample access to both windows and mirrors.

Six children's book covers arranged in two rows, featuring colorful illustrations of animals, people, and nature. Titles include "Rain Player," "A More Perfect Union," and "The Busy Body Book.

Aligned to LETRS and Orton-Gillingham

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

Universal access

We believe we have a responsibility to provide literacy instruction that gives every student the same opportunity to succeed and excel.

We know that early reading affects achievement throughout school and beyond—well into college and career. Yet most literacy programs continue to fall short of supporting early literacy success. That’s why we’re so proud that CKLA is helping close the reading gap between students within diverse communities.

A boy with glasses smiles while reading a book, with illustrated objects like a telescope, gourd, and cartoon insect in the background.

Complete curriculum

A strong literacy program is not just about a reading program or an assessment tool: it brings together curriculum, instruction, regular practice, intervention, and assessments.

Amplify has brought these components together in our early literacy suite of curriculum, ensure that you have what you need for multi-tiered support.

Science of Reading Resources

Watching students learn to read: magic. Knowing how they get there: science.

As you consider your next core ELA program, it’s critically important to understand what the Science of Reading really means and what it tells us about how to teach more effectively. Unlike other programs, Amplify CKLA was built upon these insights and practices, making it easier for teachers to implement this proven approach.

A girl runs outdoors holding a kite with colorful ribbons labeled knowledge, vocabulary, sentences, connections, gist, sounds, letters, and words.

Access demo

Ready to explore on your own? Follow the instructions below to access your demo account.

Explore the CKLA Teacher Digital Site

First, watch the quick navigation video to the right. Then, follow the directions below to access the CKLA Teacher Digital Site.

  • Go to learning.amplify.com or click Access CKLA Teacher Digital below
  • Select Log in with Amplify.
  • Enter this username: t1.utahckla@demo.tryamplify.net
  • Enter this password: Amplify1-utahckla
  • Click the CKLA button on the left hand side
  • Select your desired grade level from the Program drop down

Explore the CKLA Student Digital Site

Follow the directions below to access the CKLA Student Digital Site.

  • Go to learning.amplify.com or click Access CKLA Student Digital below
  • Select Log in with Amplify.
  • Enter this username: s1.utahckla@demo.tryamplify.net
  • Enter this password: Amplify1-utahckla
  • Answer the question.
  • Click “Go” to get to the Hub!

Welcome to Amplify CKLA!

Amplify Core Knowledge Language Arts® (CKLA) is currently the only state-approved core ELA curriculum designated as a primary core program that fully meets the Science of Reading requirements outlined in SB 127.

Truly built on the Science of Reading, Amplify CKLA helps all teachers implement the Utah Core Standards for English Language Arts and Literacy by translating the science of reading into manageable, engaging, and effective classroom practices.

Scroll down to learn how CKLA is uniquely designed to help all your students make learning leaps in literacy.

Illustration featuring diverse cultural and historical elements like an african woman, an egyptian sphinx, a space rocket, and urban and natural landscapes under a starry sky.

Recognized Quality

Amplify CKLA is one of only a few high-quality, knowledge-building literacy curricula recognized by the Knowledge Matters campaign. Our shared message: Background knowledge is essential to literacy and learning.

Diagram displaying the "knowledge matters campaign" with connections between "core knowledge language arts comprehension," "skills word recognition," and "amplify ckla skilled reading.

Science of Reading Approved by USBE

Amplify CKLA is a content-rich literacy curriculum that systematically braids knowledge-building with skills instruction. In fact, according to the Utah SBE, Amplify CKLA fully meets the Science of Reading requirements outlined in SB 127.

Independently and rigorously reviewed

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 literacy program that excels in building knowledge.

Intentional knowledge-building

The Science of Reading reveals knowledge as an essential pillar of reading comprehension, and even lifelong literacy. That’s why leading scientists say knowledge-building must be incorporated into reading instruction from the beginning—and with Amplify CKLA, it is.

Program Overview

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.
  • Authentic Spanish language arts instruction with Amplify Caminos.

Amplify CKLA for Grades K–2

After watching the K–2 video below, scroll down to learn even more, download resources, and access a demo.

Amplify CKLA for Grades 3–5

After watching the 3–5 video below, scroll down to learn even more, download resources, and access a demo.

How it works

Amplify CKLA teaches both foundational skills and background knowledge in K–2 and combines them in 3–5, as required by the science of reading.

  • In grades K–2, students complete one full lesson that builds foundational reading skills, as well as one full lesson that builds background knowledge.
  • In grades 3–5, student complete one integrated lesson that combines skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis.
A flowchart shows language comprehension and word recognition strands merging into skilled reading, with processes becoming increasingly strategic and automatic.

Rich topics

Amplify CKLA builds knowledge coherently across subjects and grades.

Students make connections from year-to-year by exploring 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.

Illustration showing diverse cultural representations: two native american figures, a bear in a forest, and a medieval european woman, all set against colorful abstract backgrounds.

Diverse text

Amplify CKLA puts a variety of texts in the hands of students every day to build and strengthen background knowledge and vocabulary, listening and reading comprehension, and decoding and fluency skills.

More than that, we ensure the texts students read represent the world around them. With a diverse range of authors, topics, and characters, all students have ample access to both windows and mirrors. Our texts include:

  • Authentic books.
  • Authentic text passages.
  • Student Readers.
  • Novel Guides (grades 3–5).
Six children's book covers arranged in two rows, featuring colorful illustrations of animals, people, and nature. Titles include "Rain Player," "A More Perfect Union," and "The Busy Body Book.

Aligned to LETRS and Orton-Gillingham

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

Equitable instruction

We believe we have a responsibility to provide literacy instruction that gives every student the same opportunity to succeed and excel.

We know that early reading affects achievement throughout school and beyond—well into college and career. Yet most literacy programs continue to fall short of supporting early literacy success. That’s why we’re so proud that CKLA is helping close the reading gap between students within diverse communities.

A boy with glasses smiles while reading a book, with illustrated objects like a telescope, gourd, and cartoon insect in the background.

Complete curriculum

A strong literacy program is not just about a reading program or an assessment tool: it brings together curriculum, instruction, regular practice, intervention, and assessments.

Amplify has brought these components together in our early literacy suite of curriculum, ensure that you have what you need for multi-tiered support.

Science of Reading Resources

Watching students learn to read: magic. Knowing how they get there: science.

As you consider your next core ELA program, it’s critically important to understand what the Science of Reading really means and what it tells us about how to teach more effectively. Unlike other programs, Amplify CKLA was built upon these insights and practices, making it easier for teachers to implement this proven approach.

A girl runs outdoors holding a kite with colorful ribbons labeled knowledge, vocabulary, sentences, connections, gist, sounds, letters, and words.

Access demo

Ready to explore on your own? Follow the instructions below to access your demo account.

Explore the CKLA Teacher Resource Site

First, watch the quick navigation video to the right. Then, click the “Access CKLA Teacher Resource Site” button to log in.

  • Click the CKLA Teacher Resource Site button
  • Select Log in with Amplify.
  • Enter this username: t1.slcsd-ckla-1@demo.tryamplify.net
  • Enter this password: Amplify1-slcsd-ckla-1
  • Select the desired grade level

Welcome to Amplify CKLA!

Amplify CKLA is the only Oregon-approved elementary ELA curriculum truly built on the Science of Reading.

Not only that, it helps all teachers implement the Oregon English Language Arts and Literacy Standards by translating the science of reading into strong instructional resources. As a result, teachers can fully focus on their students and the kind of teaching they love.

If this is your first stop on your virtual caravan, start with the video presentations below.

Watched them already? Click here to skip ahead.

Illustration featuring diverse cultural and historical elements like an african woman, an egyptian sphinx, a space rocket, and urban and natural landscapes under a starry sky.

Virtual Caravan Stop

Amplify CKLA for Grades K–2

After watching the K–2 video below, scroll down to learn even more, download resources, and access a demo.

Amplify CKLA for Grades 3–5

After watching the 3–5 video below, scroll down to learn even more, download resources, and access a demo.

What it is

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.
  • Equitable and authentic Spanish language arts instruction with Amplify Caminos.

How it works

Amplify CKLA teaches both foundational skills and background knowledge in K–2 and combines them in 3–5, as required by the science of reading.

  • In grades K–2, students complete one full lesson that builds foundational reading skills, as well as one full lesson that builds background knowledge.
  • In grades 3–5, student complete one integrated lesson that combines skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis.
A flowchart showing word recognition and language comprehension strands intertwining to form skilled reading, with progression labeled as increasingly automatic and strategic.

What students explore

Amplify CKLA builds knowledge coherently across subjects and grades.

Students make connections from year-to-year by exploring 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.

Illustration showing diverse cultural representations: two native american figures, a bear in a forest, and a medieval european woman, all set against colorful abstract backgrounds.

What students read

Amplify CKLA puts a variety of texts in the hands of students every day to build and strengthen background knowledge and vocabulary, listening and reading comprehension, and decoding and fluency skills.

More than that, we ensure the texts students read represent the world around them. With a diverse range of authors, topics, and characters, all students have ample access to both windows and mirrors. Our texts include:

  • Authentic books.
  • Authentic text passages.
  • Student Readers.
  • Novel Guides (grades 3–5).
Six children's book covers arranged in two rows, featuring colorful illustrations of animals, people, and nature. Titles include "Rain Player," "A More Perfect Union," and "The Busy Body Book.

Access and equity

We believe we have a responsibility to provide literacy instruction that gives every student the same opportunity to succeed and excel.

We know that early reading affects achievement throughout school and beyond—well into college and career. Yet most literacy programs continue to fall short of supporting early literacy success. That’s why we’re so proud that CKLA is helping close the reading gap between students within diverse communities.

A boy with glasses smiles while reading a book, with illustrated objects like a telescope, gourd, and cartoon insect in the background.

Built on the Science of Reading

Watching students learn to read: magic. Knowing how they get there: science.

As you consider your next core ELA program, it’s critically important to understand what the Science of Reading really means and what it tells us about how to teach more effectively. Unlike other programs, Amplify CKLA was built upon these insights and practices, making it easier for teachers to implement this proven approach.

A girl runs outdoors holding a kite with colorful ribbons labeled knowledge, vocabulary, sentences, connections, gist, sounds, letters, and words.

Supports Orton-Gillingham and LETRS

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

A comprehensive and cohesive solution

A strong literacy program is not just about a reading program or an assessment tool: it brings together curriculum, instruction, regular practice, intervention, and assessments.

Amplify has brought these components together in our early literacy suite of curriculum, ensure that you have what you need for multi-tiered support.

Access demo

Ready to explore on your own? Follow the instructions below to access your demo account.

Explore the CKLA Teacher Resource Site

First, watch the quick navigation video to the right. Then, click the “Access CKLA Teacher Resource Site” button to log in.

  • Click the CKLA Teacher Resource Site button
  • Select Log in with Amplify.
  • Enter this username: t.orcklak5@tryamplify.net
  • Enter this password: AmplifyNumber1
  • Select the desired grade level

Contact us

Looking to speak directly with your Oregon representative? Get in touch with a team member by emailing hellooregon@amplify.com or by calling us directly.

Kristen Rockstroh

Oregon Account Executive

Districts under 4,500 students

(480) 639-8367

krockstroh@amplify.com

Lynne Kraus

Oregon Consultant

(503) 989-3533

lkraus@amplify.com

Overview Videos

Amplify CKLA and Caminos for K–2

After watching the K–2 video below, scroll down to learn even more, download resources, and access a demo.

Amplify CKLA and Caminos for 3–5

After watching the 3–5 video below, scroll down to learn even more, download resources, and access a demo.

What it is

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.
  • Equitable and authentic Spanish language arts instruction with Amplify Caminos.

 

How it works

Amplify CKLA teaches both foundational skills and background knowledge in K–2 and combines them in 3–5, as required by the science of reading.

  • In grades K–2, students complete one full lesson that builds foundational reading skills, as well as one full lesson that builds background knowledge.
  • In grades 3–5, student complete one integrated lesson that combines skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis.
How it works

What students explore

Amplify CKLA builds knowledge coherently across subjects and grades.

Students make connections from year-to-year by exploring 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.

Download the at-a-glance resources below to learn more.

What students explore

What students read

Amplify CKLA puts a variety of texts in the hands of students every day to build and strengthen background knowledge and vocabulary, listening and reading comprehension, and decoding and fluency skills.

More than that, we ensure the texts students read represent the world around them. With a diverse range of authors, topics, and characters, all students have ample access to both windows and mirrors. Our texts include:

  • Authentic books.
  • Authentic text passages.
  • Student Readers.
  • Novel Guides (grades 3–5).

Download the lists below to explore specific grade-level texts.

What students read

Access and equity

We believe we have a responsibility to provide literacy instruction that gives every student the same opportunity to succeed and excel.

We know that early reading affects achievement throughout school and beyond—well into college and career. Yet most literacy programs continue to fall short of supporting early literacy success. That’s why we’re so proud that CKLA is helping close the reading gap between students within diverse communities.

Explore how we make learning equitable for all learners with the resources below.

Built on the Science of Reading

Watching students learn to read: magic. Knowing how they get there: science.

As you consider your next core ELA program, it’s critically important to understand what the Science of Reading really means and what it tells us about how to teach more effectively. Unlike other programs, Amplify CKLA was built upon these insights and practices, making it easier for teachers to implement this proven approach.

Download the resources below to dive deeper into the Science of Reading.

Built on the Science of Reading

Supports Orton-Gillingham and LETRS

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

A comprehensive and cohesive solution

A strong literacy program is not just about a reading program or an assessment tool: it brings together curriculum, instruction, regular practice, intervention, and assessments.

Amplify has brought these components together in our early literacy suite of curriculum, ensure that you have what you need for multi-tiered support.

 

Access demo

Ready to explore on your own? Follow the instructions below to access your demo account.

Explore the CKLA Teacher Resource Site

First, watch the quick navigation video to the right. Then, click the “Access CKLA Teacher Resource Site” button to log in.

  • Click the CKLA Teacher Resource Site button
  • Select Log in with Amplify.
  • Enter this username to explore as a teacher: t1.kentcaminos2021@demo.tryamplify.net
  • Enter this username to explore as a student: s1.kentcaminos2021@demo.tryamplify.net
  • Enter this password: Amplify1-kentcaminos2021
  • Select the desired grade level

Contact us

Have questions? Your dedicated Account Executive, Patrick Momsen, is standing by and ready to help.

Patrick Momsen Senior

Account Executive

Districts over 4,500 students

(541) 207-2148

pmomsen@amplify.com

Welcome to Amplify CKLA!

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.

Truly built on the Science of Reading, Amplify CKLA helps all teachers implement the Utah Core Standards for English Language Arts and Literacy by translating the science of reading into manageable, engaging, and effective classroom practices.

Scroll down to learn how CKLA is uniquely designed to help all your students make learning leaps in literacy.

Illustration featuring diverse cultural and historical elements like an african woman, an egyptian sphinx, a space rocket, and urban and natural landscapes under a starry sky.

Recognized Quality

Amplify CKLA is one of only a few high-quality, knowledge-building literacy curricula recognized by the Knowledge Matters campaign. Our shared message: Background knowledge is essential to literacy and learning.

Diagram displaying the "knowledge matters campaign" with connections between "core knowledge language arts comprehension," "skills word recognition," and "amplify ckla skilled reading.

Science of Reading Approved by USBE

Amplify CKLA is a content-rich literacy curriculum that systematically braids knowledge-building with skills instruction. Click below to see our state submission rubric on how Amplify CKLA addresses the Science of Reading requirements outlined in SB 127.

Independently and rigorously reviewed

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 literacy program that excels in building knowledge.

Intentional knowledge-building

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.

Program Overview

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.
  • Authentic Spanish language arts instruction with Amplify Caminos.

Amplify CKLA for Grades K–2

After watching the K–2 video below, scroll down to learn even more, download resources, and access a demo.

Amplify CKLA for Grades 3–5

After watching the 3–5 video below, scroll down to learn even more, download resources, and access a demo.

How it works

Amplify CKLA teaches both foundational skills and background knowledge in K–2 and combines them in 3–5, as required by the science of reading.

  • In grades K–2, students complete one full lesson that builds foundational reading skills, as well as one full lesson that builds background knowledge.
  • In grades 3–5, student complete one integrated lesson that combines skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis.
A flowchart showing word recognition and language comprehension strands intertwining to form skilled reading, with progression labeled as increasingly automatic and strategic.

Rich topics

Amplify CKLA builds knowledge coherently across subjects and grades.

Students make connections from year-to-year by exploring 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.

Illustration showing diverse cultural representations: two native american figures, a bear in a forest, and a medieval european woman, all set against colorful abstract backgrounds.

Diverse text

Amplify CKLA puts a variety of texts in the hands of students every day to build and strengthen background knowledge and vocabulary, listening and reading comprehension, and decoding and fluency skills.

More than that, we ensure the texts students read represent the world around them. With a diverse range of authors, topics, and characters, all students have ample access to both windows and mirrors. Our texts include:

  • Authentic books.
  • Authentic text passages.
  • Student Readers.
  • Novel Guides (grades 3–5).
Six children's book covers arranged in two rows, featuring colorful illustrations of animals, people, and nature. Titles include "Rain Player," "A More Perfect Union," and "The Busy Body Book.

Aligned to LETRS and Orton Gillingham

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

Universal access

We believe we have a responsibility to provide literacy instruction that gives every student the same opportunity to succeed and excel.

We know that early reading affects achievement throughout school and beyond—well into college and career. Yet most literacy programs continue to fall short of supporting early literacy success. That’s why we’re so proud that CKLA is helping close the reading gap between students within diverse communities.

A boy with glasses smiles while reading a book, with illustrated objects like a telescope, gourd, and cartoon insect in the background.

Complete curriculum

A strong literacy program is not just about a reading program or an assessment tool: it brings together curriculum, instruction, regular practice, intervention, and assessments.

Amplify has brought these components together in our early literacy suite of curriculum, ensure that you have what you need for multi-tiered support.

Science of Reading Resources

Watching students learn to read: magic. Knowing how they get there: science.

As you consider your next core ELA program, it’s critically important to understand what the Science of Reading really means and what it tells us about how to teach more effectively. Unlike other programs, Amplify CKLA was built upon these insights and practices, making it easier for teachers to implement this proven approach.

A girl runs outdoors holding a kite with colorful ribbons labeled knowledge, vocabulary, sentences, connections, gist, sounds, letters, and words.

Access demo

Ready to explore on your own? Follow the instructions below to access your demo account.

Explore the CKLA Teacher Digital Site

First, watch the quick navigation video to the right. Then follow the directions below:

  • Go to learning.amplify.com or click Access CKLA Teacher Digital 
  • Select Log in with Amplify.
  • Enter this username: t1.davislangarts@demo.tryamplify.net
  • Enter this password: Amplify1-davislangarts
  • Click the CKLA button on the left hand side
  • Select your desired grade level from the Program drop down

Explore the CKLA Student Digital Site

To access the student digital site follow the directions below:

  • Go to learning.amplify.com or click Access CKLA Student Digital 
  • Select Log in with Amplify.
  • Enter this username: s1.davislangarts@demo.tryamplify.net
  • Enter this password: Amplify1-davislangarts
  • From the Home page, scroll down to the robot and “Click to go to the Hub
  • From the Hub, click the Grade button to select the grade.

Welcome, K-5 LAUSD principals and teachers!

What’s new?

Scroll down to learn how CKLA is uniquely designed to help all students make learning leaps in literacy.

Looking for LAUSD G6 ELA information and resources? Visit the LAUSD G6 ELA site.

A boy in glasses reading a book, surrounded by illustrations of a telescope, grasshopper, and carrot, with a logo saying "bringing the science of reading to lausd!.

Our promise

Developed in partnership with the Core Knowledge Foundation, Amplify CKLA promises:

  • A unique research-based approach based on the Science of Reading.
  • A combination of explicit foundational skills instruction with meaningful content knowledge.
  • An instructional design that levels the playing field for every child.
  • Superior results.

Built on the Science of Reading

Watching students learn to read: magic. Knowing how they get there: science.

What does the Science of Reading really mean? What does it tell us about how to teach? How can we bring those insights and practices into our classrooms (remote or otherwise)? We believe CKLA has the answers.

A girl runs outdoors holding a kite with colorful ribbons labeled knowledge, vocabulary, sentences, connections, gist, sounds, letters, and words.

Supports Orton-Gillingham and LETRS

CKLA brings the instructional principles recommended by Orton-Gillingham and LETRS to life in the classroom.

  • 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 text with constant review and reinforcement

What students read

Amplify CKLA puts a variety of texts in the hands of students every day to build and strengthen background knowledge and vocabulary, listening and reading comprehension, and decoding and fluency skills.

Reading and comprehension activities utilize:

  • Authentic books.
  • Authentic text passages.
  • Student Readers.
  • Novel Guides (grades 3–5).
Six children's book covers arranged in two rows, featuring colorful illustrations of animals, people, and nature. Titles include "Rain Player," "A More Perfect Union," and "The Busy Body Book.

CKLA DEI and Social Justice Guides

The following guide offers an overview of the many ways that the Amplify CKLA program supports students’ understanding of issues related to diversity, equity, inclusion, and social justice.

A vibrant illustration depicting diverse children and animals engaged in various activities in nature and by a pond.

The missing piece

CKLA is aligned with programs you already know and use—mCLASS and Boost Reading—making the integration between systems, your implementation, and ongoing instructional planning more efficient, effective, and easy for your teachers.

Access demo

Ready to explore on your own? Follow the instructions below to access your demo account.

Access the CKLA Teacher Resource Site

Watch the quick navigation video first, then login using the “Access CKLA Teacher Resource Site” button.

  • Click the CKLA Teacher Resource Site below.
  • Select the Log in with Amplify button.
  • Enter the username: lausdreviewer@tryamplify.net
  • Enter the password: AmplifyNumber1
  • Select the desired grade level.

Access the CKLA Student Hub

Watch the quick navigation video first, then login using the “Access CKLA Student Hub” button.

  • Click the CKLA Student Hub button.
  • Select Log in with Amplify.
  • Enter the username lausdreviewer@tryamplify.net.
  • Enter the password AmplifyNumber1.
  • Select the desired grade level.

Contact us

Looking to speak directly with your LAUSD representative? Get in touch with a team member by emailing ckla.lausd@amplify.com or by calling us directly.

Shalonda Johnson

Customer Success Manager

(213) 310-0107

shajohnson@amplify.com


Welcome to Grade 7

Look below to learn more about our Matter and Energy in Ecosystems unit and to find select lessons and instructional materials related to the teaching and learning of this disciplinary core idea.

Collage of four images: underwater digital art, two students conducting a science experiment, hands constructing a structure from red straws, and an abstract painting of colorful figures.

About this unit

Matter and Energy in Ecosystems is the last of nine units taught at this grade level. During this unit, students take on the role of ecologists and figure out why a sealed biodome mysteriously crashed despite following the advice of experts.

This video explains just a few of the topics students learn about throughout the entire year.

Before diving into the lessons below, use review this guide to get a big picture understanding of how this unit is organized, the key questions that guide learning, and how the storyline develops across chapters.

Lessons about Ecosystems

Amplify Science California is a multi-modal program, not a traditional textbook. Therefore, multiple components are utilized in the teaching and learning of the NGSS standards.

This video explains the instructional materials used to teach.

Scroll down to find select lessons and instructional materials used in teaching Ecosystems. Below each description, you’ll find links to download the PDFs your committee requested.

A spiral-bound teacher’s guide and a laptop displaying an online curriculum titled “Matter and Energy in Ecosystems: Biodome Collapse” from Amplify Science.
Teacher’s Reference Guide

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 3-D Statements, detailed lesson plans, tips for delivering instruction, and differentiation strategies.

A laptop displays a PowerPoint presentation in presenter view, with slides about observing objects in plastic containers and related sensory instructions.
Classroom Slides

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.

Assorted craft supplies including a bottle of rubbing alcohol, plastic containers, colorful beads, small dropper bottles, plastic cups, and clear plastic spoons on a white background.
Materials Kits

Our kits include enough non-consumable materials to support 200 student uses. In other words, you have enough materials to support all five periods and small groups of 4-5 students each. Plus, our unit-specific kits mean you just grab the tub you need and then put it all back with ease.

Educational graphic depicting the energy flow in an ecosystem, showing sun, producers, consumers, and decomposers with corresponding actions like eat, cycle, and decompose.
Simulations and Practice Tools

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.

Collection of educational books from 'amplify science' on topics including ocean atmosphere, matter and energy ecosystems, and insect interactions, displayed in various angles.
Consumable Notebooks

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.

Notebook for this unit

Cover of a science textbook showing a girl doing an experiment, surrounded by animals, jellyfish, a rocket, and scientific symbols, with the title "Amplify Science.
Student Edition Hardcover

This durable Student Edition is grade-level specific and contains all of the articles that students refer to throughout the year. Districts may choose to pair these traditional student texts with our digital student experience or new 2-volume consumable notebook set.

Line drawing of a person using a laptop, with headphones and a line illustration of a rocket launching above their head, symbolizing creativity or inspiration in Boost Reading.
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. What’s more, we’ll push them out to you even after you adopt us!

See what’s coming for 2020-2021

In addition to reviewing the “printed” resources above, we invite you to explore our program digitally.

  • Click the orange button below to access the platform.
  • Choose Teacher to continue.
  • Select Grade 7 from the drop-down menu.
  • Click on the Matter and Energy in Ecosystems unit to find your program materials.

Navigating a Core Unit

Core units introduce a real-world problem and support students as they figure out the anchoring phenomenon and gain an understanding of the unit’s DCIs, SEPs, and CCCs.

Navigating Classwork and Reporting

Classwork is our new online grading tool that gives you quick and easy access to unreviewed work, student portfolios of work, and automatically generated differentiation groups.

Welcome to Life Science

BACK TO MAIN 6–8 PAGE

Amplify Science California is so effective you can cover 100% of the NGSS in half the time of other programs.

Plus, you can breathe a sigh of relief knowing we give you enough materials to support 200 students. In fact, our material kits:

  • Support small groups of 4-5 students.
  • Make organization and finding materials easy.
  • Last longer with only one of the nine kits requiring refills.
Collage of four images: underwater digital art, two students conducting a science experiment, hands constructing a structure from red straws, and an abstract painting of colorful figures.

What students learn

When you’re ready:

  • Find a summary of each unit below including each unit’s student role and anchor phenomenon.
  • Click on the orange “See how the unit works” link to download a helpful Unit Guide. These guides make great companions to busy reviewers looking for a big-picture understanding of how each unit works.
An illustration from the Microbiome unit

Unit 1

Microbiome

Student role: Microbiological researchers

Phenomenon: The presence of 100 trillion microorganisms living on and in the human body keeps the body healthy.

An illustration from the Metabolism unit

Unit 2

Metabolism

Student role: Medical students

Phenomenon: Elisa, a teenager, is tired all the time. In fact, she can’t get through the day without feeling exhausted.

See how this unit works

An illustration from the Metabolism: Engineering Internship unit

Unit 3

Metabolism Engineering Internship

Student role: Food engineers

Phenomenon: Health bars with different molecular compositions meet the metabolic needs of patients or rescue workers.

An image from the Traits and Reproduction unit

Unit 4

Traits and Reproduction

Student role: Biomedical students

Phenomenon: Darwin’s bark spider offspring have different silk flexibility traits, even though they have the same parents.

An illustration of a whale with jellyfish and turtles from Amplify Science

Unit 5

Populations and Resources

Student role: Biologists

Phenomenon: The size of the moon jelly population in the fictional Glacier Sea has experienced a puzzling increase.

See how this unit works

An illustration from the Matter and Energy unit

Unit 6

Matter and Energy in Ecosystems

Student role: Ecologists

Phenomenon: A sealed biodome built by a group of Econauts mysteriously crashed despite following the advice of experts.

See how this unit works

Cartoon image of a yellow dinosaur among green dinosaurs, all with meat and vegetables on their backs, standing in a grassy landscape.

Unit 7

Natural Selection

Student role: Biologists

Phenomenon: The rough-skinned newt population in Oregon State Park has become more poisonous over time.

See how this unit works

An illustration from the Natural Selection: Engineering Internship unit

Unit 8

Natural Selection Engineering Internship

Student role: Clinical engineers

Phenomenon: Designing malaria treatment plans that use different combinations of drugs can reduce drug resistance development.

An illustration from the Evolutionary History unit

Unit 9

Evolutionary History

Student role: Paleontologists

Phenomenon: A mystery fossil at the Natural History Museum has similarities with both wolves and whales.

See how this unit works

How teachers teach

When you’re ready:

  • Scroll down and take a closer look at your classroom resources.
  • Click on the orange links below each component to see grade-specific samples.
Most adopted curriculum for the NGSS California

Classroom Slides

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.

Video introduction to Classroom Slides

An open teacher's guide and a laptop displaying an educational website on metabolism, featuring colorful chapter thumbnails.

Teacher’s Reference Guide

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 3-D Statements, detailed lesson plans, tips for delivering instruction, and differentiation strategies.

Login to platform below to access

Assorted laboratory supplies including beakers, measuring cylinders, test tubes, pipettes, thermometers, and chemical reagents on a white background.

Materials Kits

Our kits include enough non-consumable materials to support 200 student uses. In other words, you have enough materials to support all five periods and small groups of 4-5 students each. Plus, our unit-specific kits mean you just grab the tub you need and then put it all back with ease.

A digital simulation from Amplify Science

Simulations and Practice Tools

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.

Video overview of digital tools

Two textbooks titled amplify science, one in spanish and english, featuring a spider on web the cover.

Consumable Notebooks

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.

Sample Student Investigation Notebook

Sample Student Investigation Notebook (Spanish)

Illustration for amplify science textbook cover, featuring a woman scientist with various science symbols like dna, parrot, rocket, and dinosaur on stylized background.

Student Edition Hardcover

This durable Student Edition is grade-level specific and contains all of the articles that students refer to throughout the year. Districts may choose to pair these traditional student texts with our digital student experience or new 2-volume consumable notebook set.

Line drawing of a person using a laptop, with headphones and a line illustration of a rocket launching above their head, symbolizing creativity or inspiration in Boost Reading.


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. What’s more, we’ll push them out to you even after you adopt us!

See what’s coming for 2020-2021

Navigating the program

  • Click the orange button below to access the platform.
  • Choose the resources you’d like to review.
  • Pick your grade level from the drop-down menu.
  • Scroll down to find additional grade-level resources.

Navigating a Launch Unit

Launch units are the first units taught in each year of the program. The goal of a Launch unit is to introduce students to norms, routines, and practices that will be built on throughout the year.

Navigating an Engineering Internship

Engineering Internship units invite students to design solutions for real-world problems as interns for a fictional company called Futura. In the process, they apply and deepen their learning from Core units.

Navigating a Core Unit

Core units introduce a real-world problem and support students as they figure out the anchoring phenomenon and gain an understanding of the unit’s DCIs, SEPs, and CCCs.

Navigating Classwork and Reporting

Classwork is our new online grading tool that gives you quick and easy access to unreviewed work, student portfolios of work, and automatically generated differentiation groups.

Welcome to Grade 7

BACK TO MAIN 6–8 PAGE

Amplify Science California is so effective you can cover 100% of the NGSS in fewer lessons than other programs.
 
Plus, you can breathe a sigh of relief knowing we give you enough materials to support 200 students. In fact, our material kits:

  • Support small groups of 4-5 students.
  • Make organization and finding materials easy.
  • Last longer with only one of the nine kits requiring refills.
A collage showing a rocky landscape, a forest with foxes, two kids doing a science experiment, and hands tending to seedlings in a plastic container.

What students learn

When you’re ready:

  • Find a summary of each unit below including each unit’s student role and anchor phenomenon.
  • Click on the orange “See how the unit works” link to download a helpful Unit Guide. These guides make great companions to busy reviewers looking for a big-picture understanding of how each unit works.
A barren, rocky desert landscape with rover tracks leading to a distant vehicle on a hill under a hazy sky.

Unit 1

Geology on Mars

Student role: Planetary geologists

Phenomenon: Analyzing data about landforms on Mars can provide evidence that Mars may have once been habitable.

Two prehistoric reptiles with long snouts and tails are near the shore, one on land and one in water, with plants, rocks, and an island in the background.

Unit 2

Plate Motion

Student role: Geologists

Phenomenon: Mesosaurus fossils have been found on continents separated by thousands of kilometers of ocean.

See how this unit works

Geometric design featuring a telescope, mountain, sound waves, and cosmic elements on a purple hexagonal background.

Unit 3

Plate Motion Engineering Internship

Student role: Mechanical engineering interns

Phenomenon: Patterns in earthquake data can be used to design an effective tsunami warning system.

Illustration of a cross-section of Earth showing a volcano near the ocean. Trees, mountains, and clouds are visible above, with subterranean layers below.

Unit 4

Rock Transformations

Student role: Geologists


Phenomenon: Rock samples from different U.S. regions look different, but have similar mineral compositions.

See how this unit works

Illustration showing the stages of melting an orange popsicle: whole, partially melted, more melted, and almost completely melted, with wooden sticks, on a purple background.

Unit 5

Phase Change

Student role: Chemists

Phenomenon: A methane lake on Titan no longer appears in images taken by a space probe two years apart.

See how this unit works

Green geometric graphic featuring icons: a baby, thermometer, layers, medical alert, and a flame.

Unit 6

Phase Change Engineering Internship

Student role: Chemical engineering interns

Phenomenon: Designing portable baby incubators with different phase change materials helps keep babies’ temperatures healthy.

Abstract digital artwork featuring numerous red and gray circles overlapping a split background of blue and light purple, creating a dynamic and energetic composition.

Unit 7

Chemical Reactions

Student role: Forensic chemists

Phenomenon: A mysterious reddish-brown substance has been detected in the tap water of Westfield.

See how this unit works

An illustration of a whale with jellyfish and turtles from Amplify Science

Unit 8

Populations and Resources

Student role: Biologists

Phenomenon: The size of the moon jelly population in the fictional Glacier Sea has experienced a puzzling increase.

See how this unit works

Low-poly landscape with trees and mushrooms. A fox sniffs the ground, a rabbit sits nearby, and mountains and sun are in the background.

Unit 9

Matter and Energy in Ecosystems

Student role: Ecologists

Phenomenon: A sealed biodome built by a group of Econauts mysteriously crashed despite following the advice of experts.

See how this unit works

How teachers teach

When you’re ready:

  • Scroll down and take a closer look at your classroom resources.
  • Click on the orange links below each component to see grade-specific samples.
A laptop displays a PowerPoint presentation in presenter view, with slides about observing objects in plastic containers and related sensory instructions.

Classroom Slides

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.

Video introduction to Classroom Slides

Sample Classroom Slides

A printed teacher’s guide labeled “Plate Motion: Mystery of the Mesosaurus Fossils” is displayed next to a laptop showing the same curriculum’s digital interface.

Teacher’s Reference Guide

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 3-D Statements, detailed lesson plans, tips for delivering instruction, and differentiation strategies.

Login to platform below to access

Assorted craft supplies including a bottle of rubbing alcohol, plastic containers, colorful beads, small dropper bottles, plastic cups, and clear plastic spoons on a white background.

Materials Kits

Our kits include enough non-consumable materials to support 200 student uses. In other words, you have enough materials to support all five periods and small groups of 4-5 students each. Plus, our unit-specific kits mean you just grab the tub you need and then put it all back with ease.

List of investigations by unit

List of materials by unit

A laptop screen displaying a map with three ecosystem options, each illustrated by different animal icons and accompanied by relevant data lists.

Simulations and Practice Tools

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.

Video overview of digital tools

List of digital tools by unit

Device calendars by unit

Two science textbooks, one in Spanish and one in English, titled "Movimento de placas" and "Plate Motion," both featuring an illustrated Mesosaurus fossil on the cover.

Consumable Notebooks

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.

Sample Student Investigation Notebook

Sample Student Investigation Notebook (Spanish)

Cover of a science textbook showing a girl doing an experiment, surrounded by animals, jellyfish, a rocket, and scientific symbols, with the title "Amplify Science.

Student Edition Hardcover

This durable Student Edition is grade-level specific and contains all of the articles that students refer to throughout the year. Districts may choose to pair these traditional student texts with our digital student experience or new 2-volume consumable notebook set.

A person with headphones works on a laptop; a line from their head transforms into a rocket, symbolizing imagination, innovation, and the foundational skills essential for multilingual learners.

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. What’s more, we’ll push them out to you even after you adopt us!

See what’s coming for 2020-2021

Navigating the program

  • Click the orange button below to access the platform.
  • Choose the resources you’d like to review.
  • Pick your grade level from the drop-down menu.
  • Scroll down to find additional grade-level resources.

Navigating a Launch Unit

Launch units are the first units taught in each year of the program. The goal of a Launch unit is to introduce students to norms, routines, and practices that will be built on throughout the year.

Navigating an Engineering Internship

Engineering Internship units invite students to design solutions for real-world problems as interns for a fictional company called Futura. In the process, they apply and deepen their learning from Core units.

Navigating a Core Unit

Core units introduce a real-world problem and support students as they figure out the anchoring phenomenon and gain an understanding of the unit’s DCIs, SEPs, and CCCs.

Navigating Classwork and Reporting

Classwork is our new online grading tool that gives you quick and easy access to unreviewed work, student portfolios of work, and automatically generated differentiation groups.

S3-01. Making math viral with Howie Hua

Promotional image for "math teacher lounge, season 3 episode 1," featuring a smiling man named Howie Hua, described as a Fresno State mathematics lecturer and math podcast host.

In this episode Howie Hua (you may know him from his viral TikTok videos) joins Bethany Lockhart Johnson and Dan Meyer to discuss making math accessible for students through multiple social media platforms, creating an engaging space for students to share their ideas.

Explore more from Math Teacher Lounge by visiting our main page

Download Transcript

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 Howie Hua says about math

“I think that the beauty in math is found in the process, not the final answer.”

– Howie Hua

Mathematics Lecturer, Fresno State

Meet the guest

Howie Hua is a math instructor at Fresno State University who teaches math to future elementary school teachers. He is passionate about finding ways to humanize the math classroom, listening to how students think about math, and building mathematical confidence in students. In 2019, Howie was named Outstanding Lecturer for the College of Science and Math at his university. Outside of school, Howie likes to play piano, go on walks, make math memes, and make math explainer videos.

Portrait of a smiling Asian man in a suit, identified as Juan Vivas, a SpaceX engineer, with a blurred office building background.
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!

S3 – 02. Mathematizing children’s literature with Allison Hintz and Antony Smith

Math Teacher Lounge promotion for "Mathematizing Children's Literature" with Allison Hintz and Anthony Smith from the University of Washington Bothell. Includes episode 2 details and speaker photos.

In this episode, Mathematizing Children’s Literature authors Allison Hintz and Antony Smith join Bethany Lockhart Johnson and Dan Meyer to discuss what would happen if we were to approach children’s literature, and life, through a math lens – and how we can apply those 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.

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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 guests

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 circular frames featuring close-up portraits; a smiling woman with a microphone on the left, and Juan Vivas of SpaceX, smiling in a bookstore surrounded by children’s literature, on the right.
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!

S3 – 03. Math professional learning experiences with Elham Kazemi

Podcast episode poster for "Math Teacher Lounge" featuring Elham Kazemi, a Mathematics Education Professor at the University of Washington.

How do we continue to grow and be more reflective about our own teaching? In this episode, Bethany Lockhart Johnson and Dan Meyer chat with Elham Kazemi to explore how to look at teaching as a collaborative experiment. Moving more toward analyzing student thinking and how that contributes to teaching itself, leaves more space for one’s own understanding of math to grow throughout your career. When one revises their teaching based on the data we’re collecting from students and peers, this allows us to be both teachers and learners forever.

Explore more from Math Teacher Lounge by visiting our main page.

Download Transcript

Dan Meyer (00:04):
Hey folks, welcome to math teacher lounge. My name is Dan Meyer

Bethany Lockhart Johnson (00:07):
And I’m Bethany, Lockhart Johnson.

Dan Meyer (00:09):
And this is the teacher learning week. We’re thinking this week about how we grow as teachers. And to start with, I just wanted to ask Bethany, uh, first Bethany, how are you doing? And second <laugh>. Um, what is, what, what has been your like most favorite and least favorite, most effective least effective professional learning experience when you were a classroom teacher?

Bethany Lockhart Johnson (00:30):
I think for me, most effective was definitely when I could use it right away. Right. Whatever we were talking about, whatever we were learning, like I got to go put it into practice. Sure. Uh, I, I remember we did something where we designed a lesson and then we went and taught it like one person taught it and the rest of the people watched. And then we kind of like got to workshop it, which that was like a one off the fact that we got to go out of our classroom and go observe somebody teaching. It was gold. It was gold. Um, so that was probably the most effective, because there was so much opportunity for reflection and least effective was something that felt like just completely unconnected to, you know, kind of either so theoretical that it wasn’t like touching on what we were navigating right there in the classroom. I don’t know. What about you? What can you think of times that, are you gonna say times you led a PD? Those were the most effective?

Dan Meyer (01:26):
Yeah. My favorite ones are my sessions, of course. But if I had to throw those out for a second, um, yeah, I, I like, I want, I want both, I want it all. I want the, um, the big ideas that take a long time to settle in that also have like small bits that can carve off and use relatively quickly to test my understanding of the ID is, yeah. I’ve had some, some PD where I’m like, this is very relevant to tomorrow. And I also don’t care. Like for instance, like how to use the CD, the, the, like the, the software, you know, on the, on my curriculum, for instance, it’s like, okay, yeah, this is just a little, little too practical. You know what I’m saying? I want some bigger ideas to chew on. Um, I would also say like, I love my favorite PD by a long was writing up thoughts about how the day went and putting that on the internet in a public place that we used to call a blog and where people would come along, cuz there was like 10 blogs and like, tell me like that’s no good.

Dan Meyer (02:16):
Like the thing that you like is not a thing you should like, here’s the thing you should like instead, or try instead, or just this weird community that sprung up, you know, when I was, uh, starting to teach relatively new teacher and uh, I feel like I grew a lot

Bethany Lockhart Johnson (02:28):
Go back to this idea blog. If people would call you, they’d call you on the phone. What, what

Dan Meyer (02:32):
Was they would fax me? They, it would be a fact. So

Bethany Lockhart Johnson (02:35):
Fax,

Dan Meyer (02:36):
I got it. Fax a comment. Yeah. Got it. So, uh, that’s, that’s Bethany and I, and we’re super excited to have people who have a bit broader of a perspective, a bit more of the land than what, what the two of us, um, think about with our own professional learning experiences.

Dan Meyer (02:52):
We’ve invited on an expert. We hope will help us understand alternate ways to do professional learning as teachers to grow as teachers besides, you know, all of us getting into the same room once every, every, uh, few months together, Elm Cosmi is a professor of mathematics education at the university of Washington, Elm studies, how strong professional communities develop in schools and how schools can be organized. So teachers learn from and what their students, this work is informed by equity oriented research on thinking, uh, on children’s mathematical thinking and classroom practice. She is co-author with Allison hints of intentional talk, which focuses on leading productive discussions in mathematics. And she edited coral counting and counting collections with Megan Frankie and Angela tau, which focuses on the importance of counting from preschool to fifth grade. Looking forward to a great chat with Elham, welcome Elham to the show.

Elham Kazemi (03:43):
Thanks for having me, my favorite topic ever to talk with you both about,

Bethany Lockhart Johnson (03:47):
I think something that I just deeply, deeply respected admire is that I feel like you are constantly sharing about how you are learning. You’re continue to learn, continue to, to try out new ideas and you do a very good job of like highlighting things that you’ve learned, whether that’s sharing it through a tweet or sharing it amongst colleagues or peers. And I, I just really appreciate that because I feel like being in the mathematics community with you, I feel like I grow by, I just like paying attention to like, Hey, she’s a learner, she’s done all these amazing things and thinks in these amazing ways and has shifted my thinking in such amazing ways. But she’s saying, Hey, I I’m still learning. So yeah. Hi, thank you. Thank you for your, I don’t know. We’re just glad to have you here.

Elham Kazemi (04:41):
Thanks. I do feel like the perpetual student, like I’ve never left school and I wonder like one day maybe I will, when I grow older, when I grow up, will I ever leave school? Maybe not.

Bethany Lockhart Johnson (04:52):
<laugh>

Dan Meyer (04:53):
Great. Let’s dig in. Yeah. So please tell us you partnered with a school for some professional learning that wasn’t the sort where you would go in and offer brilliant ideas and then leave. But rather it, it seemed like it was more of a job embedded sort, the sort of thing that might have a life of its own after, you know, after the, the grant ends or the program ends. Can you describe what it was you did and what the effect was?

Elham Kazemi (05:15):
I think I wanna first say that everything that I have done and experimented with as really the result of working with fabulous people, teachers, coaches, principals, other, um, colleagues and peers in the field who are constantly trying to work on what good teaching looks like and how you learn to do it. And mostly because we care about kids and we care about what students experience in the classroom. And we want kids to love school, to have school, be a place where they’re known, they’re loved, um, that they look forward to being in every day. And I think there’s that, um, the why that, that, um, per that makes you want to learn is really about the students and being, doing things in service of them. Because when, uh, as one of my colleagues said, when children thrive, teachers thrive. So what does it mean for us to thrive?

Elham Kazemi (06:06):
If we are focused on our kids’ experiences in schools, what we did at this, this particular school and a group of schools is kind of tap into a, all that curiosity and drive that teachers have to do a good job and to use their imaginations well, and to engage the actual ideas that children have in their classroom together, not separately, not like get a great idea and be inspired by it and then go figure it out by yourself, but be inspired by ideas and then try to figure them out together. Because, um, as you both know, very talented teachers, uh, who also have been inspired to change your classroom teaching. Once you figure something out or as you’re figuring it out, there’s all kinds of intricacies. Like I remember when I first learned about three act tasks, I thought what a brilliant idea, but it’s not so simple to try to enact the brilliance of it because you can simplify it too much or you can get stuck and not really know how do you move from one act to the next, or what’s the point of the third act?

Elham Kazemi (07:12):
Do you just like reveal the answer and that’s it. And then you move on. Um, how do you even do design the tasks to begin with all of those things, raise questions and working on them together, uh, and carving up that space and time to work on them together is sorely missing in schools. And so that’s what we were able to do with the schools that I parted and it is find the time and then design the structures so that teachers could, um, <affirmative> think about their teaching together and then also be in the classroom together with kids. So the kids see that we are also learning to be responsive to them. That’s the point. So we have to work stuff out when kids are present, which is the part that usually trips a lot of people up.

Bethany Lockhart Johnson (07:55):
Well, that to me is I think the part that shifted my teaching and continues to is this, it is a culture shift to tell your students, to invite your students into your learning, to tell them I’m, I’m learning too. It was an invitation to, to be vulnerable in a way that I think sometimes teachers are very afraid to be vulnerable. Uh, if they don’t know what the student response is gonna be, or they don’t know, they don’t wanna seem like they don’t know the answers or they don’t know how to figure out a problem. I think that’s a real shift in the, in the culture for, for compared to maybe what we, we experienced growing up.

Dan Meyer (08:33):
I hated not knowing the answer to a math problem. I admitting I, I was uncertain with the mathematics, but to admit that I am like a, a work in aggress as a teacher, feels like an extra admission, an extra layer of humility, which is, I don’t know, it’s a really special thing that you were up to with that school. I’d love to hear like about specific structures that you worked with to help make that transition feel, you know, more natural, more welcoming, more productive.

Elham Kazemi (08:58):
So, I mean, you probably have experienced common planning time, right? This is a thing that often happens for us teachers. I think that common planning time looks a lot sometimes like, uh, what are we gonna do on Monday, Tuesday, Wednesday? Okay. What do we need? What are the materials we need? Who is gonna do that? Will you write this? And that’s what kind of common planning time, and then it’s over. And then you might see each other at lunch and say, well, how did that go? And you’ll talk a little bit about it, but common planning time and learning labs, which is sort of what the, what we call the, the PD that we designed means. Okay. So let’s take three act task. We, we write a little bit about it. We’ve seen a couple, but okay. What would it really mean to plan this particular one?

Elham Kazemi (09:42):
So common planning time is thinking like, how are we gonna launch that first act? What are we actually gonna say? What do we think the kids are gonna say? Why would we say it that way? What if they say something else? Um, and then, okay, so what does it actually sounds like to transition from act one, to act two? What might we say, what would happen with this particular task and actually getting into the details of how you imagine, like, what, what you would do when you were actually planning the specifics of a particular lesson, but leaving it loose enough that you’re not trying to make it perfect. And I think that’s the trick. So, so that you are not so invested, that goes in that particular way or that you fail. If it doesn’t go that way. Um, but that you have something you wanna learn together and trying out this three act task with a particular group of kids so that when you go into the classroom, first of all, you’ve all thought through the full R of the lesson.

Elham Kazemi (10:40):
And you’re curious enough about what’s gonna happen at particular points that you’ve left room for uncertainty and the taking of some risks. So then when you go together into a classroom and kids start to say things that you didn’t anticipate you or, or they start to do something that you’re so jazzed about, that you didn’t anticipate that you’re like, this is the thing we should pursue more. You give each other permission to do that. You’re like, whoa, wait, did you hear what so? And so said, I think we should follow that road and see where it takes us, or, huh. Okay, hold on. And that’s what we call teacher timeouts, where you actually confer briefly and you tell the kids, this is a super special day. We’ve tried to design something. We’re very curious how you are gonna react to it. So we’re gonna try it out. And along the way, we might pause to get your ideas or for us to make some decisions and steer the ship in a, in a new directions and see what happens. So we’re gonna be sitting closely to you among you. Um, and you get to be our teachers today while we teach. That’s how it’s framed.

Bethany Lockhart Johnson (11:46):
Like, what were you seeing in professional development or in that wasn’t happening amongst teachers? Like where, where are the gaps? Because it feels like so much of your work. You’ve just looked in such nuanced ways at how teachers can continue to grow and be more reflective of their own teaching. And I’m just kind of curious where that came from or where you’re seeing the landscape.

Elham Kazemi (12:10):
Yeah, that’s a good question. Well, I, oh, everything I know about, children’s thinking to Megan Frankie and the beautiful body of work called CGI, but, um, one of the things that we noticed, there’s so many great CGI workshops, and even like all the seminars and conference presentations and amazing things that you can design to have engaging work time for teach in, in professional development, outside of their classroom, people get super jazzed, you know, they get, um, uh, they have meaningful experiences, but to contextualize that back into their classrooms with their own students is like where, where often I would see like, wait, the same group of teachers I just saw in my classroom or in either in math methods or in this PD seminar, or even myself, like noticing, like I have seen and thought about stuff a lot. But when I went to go do it with a particular group of kids, holy moly was that so hard. And I saw all kinds of new complexities that I didn’t anticipate. And if I were just left to my own devices, I might very easily say, whew, this seems a little too hard.

Bethany Lockhart Johnson (13:21):
Right,

Elham Kazemi (13:22):
Right. And that’s the thing that I always hated. I was like, oh, if only we had, or you, or if you watched somebody do a demo lesson and you saw something that was like, kind of cool that you wish you had done afterwards. I often this happened in reflections. I wish we had, because we weren’t allowed to interrupt each other during teaching. Cuz somehow that would be rude or that would undermine the teacher’s authority. But that’s only the way we frame it. If we say actually we’re all capable people. So a question we ask ourselves during instruction doesn’t mean you don’t know what you’re doing. It means actually we’re thinking together then the interruptions aren’t about undermining authority. They’re about thinking together.

Dan Meyer (14:04):
There’s a performative aspect to a lot of teaching. Like the like teaching feels like a performance and you don’t, the movie’s playing or there’s a play that’s going on. It feels like inappropriate to interrupt that in any way. Cause the performance is going and I, I love what this that’s. I love what this idea does to kind of, to redefine teaching is not a performance, but this, this co-constructed thing. Or if it’s a performance, it’s a performance, the stars, all of us, like we’re all a part of the cast and always a it’s always the dress rehearsal.

Elham Kazemi (14:30):
<laugh> it is like the dress rehearsal. Although some of my brilliant colleagues with backgrounds in drama and theater, Sarah Kavanaugh and Holly GU and Elizabeth dure, they actually were at a meeting together. And they talked about how this like breaks the fourth wall, you know, mm-hmm, <affirmative> like, which is out of theater, um, where the performer speaks to the audience, you know, I know you’re there and I have something to say to you. Yep. And I was like, well, we should, why can’t we do that in teaching? So we actually wrote a little paper, um, that’s called breaking the fourth wall as a way. That’s so cool as a metaphor for understanding and reframing what these interruptions could meet. Cuz we often get people when we about this for academic audience who say like, aren’t you using the children and what are the children gonna do while you just pause? Are they supposed to freeze? And uh, you know, while you talk about them, but it’s not really that it’s like, Hey students, we’re here because of you. So shouldn’t, we try to involve you and are decision making. To some extent, it’s not like we don’t know what we’re doing, but we’re doing things because we wanna advance your learning.

Bethany Lockhart Johnson (15:40):
I mean, I still remember the first time I did a teacher time out and it, it was, I, it was breaking the four, it was this like, okay, you’re gonna see what happens, kids like, look at my, my tap dances stopped. And you’re you mean like, you know, whoa, wait a second. And I think it is about how you frame it. Right? It’s a celebration of their thinking and you, you use the term ambitious teaching and it, to me that is such a joyful way to think about it.

Elham Kazemi (16:06):
It is risky. And you would never say anything to shame any student, no. Or to shame your colleagues. Clearly it’s not a about that kind of discussion. Right. And they’re so brief. They’re like, it, it seconds. It’s not like you’re wasting time. You’re actually trying to understand what’s happening here. And I’ve just had so many instances where something goes on. Um, like we were doing a growing patterns task in a classroom and the student built the fourth term and they built stuff that did not follow the pattern. And I was so confused. I, I just didn’t understand like what was going on. And one of the kids said, well, if you, if you did follow the pattern, that’s not her words. But you know, she’s like, well, if we built it this way, that would be too obvious. Because if you just, if you saw that and you’re like, oh, that lesson failed.

Elham Kazemi (16:59):
Now we, our kids don’t understand what patterns are. We did it. Like, we gotta pause here and we gotta say, and we’re like, well, what do you mean? Can you say more about that? And basically what they said is that, um, well, first of all, they’re, they’re right. A pattern could change at any time, but it’s like, it would be more interesting if they, they knew how many cubes it would take for the fourth term that it would be nine, but they’re like, Hey, let’s rearrange that nine in some cool new ways. <laugh> cause that’s more interesting. It was like more interesting to them if, if they didn’t keep the pattern. So like, you kind of had to wrestle with that in the moment <affirmative> with them. And that’s how they can actually be partners with you in the teacher, timeout.

Bethany Lockhart Johnson (17:40):
Right. That’s making it about them and their learning. It’s not about that. It’s not about your performance and like looking all shiny and, and I’ve got it all together and I know exactly how this lesson’s gonna go. It that’s so interesting.

Elham Kazemi (17:53):
And sometimes you pause and like some cuz somebody else who’s watching is noticing something about what the kids are doing. And while you’re, if you’re happen to be the person who’s upfront at the time leading, you’ve got so many things going on in your head that some times the person who’s just been sitting on the rug with the kids mm-hmm <affirmative> has noticed something. And they’re like, can I ask something right now? And that’s a great teacher timeout too. Mm. Because they’re interrupting you cuz they’re like, I think I, I wanna see what kids will say. If we ask this question next and those moments have been like amazing because someone has noticed something that another person hasn’t in the room and it’s been very helpful to illuminate how kids are processing something or what two ideas they could connect. That would be really powerful based on what we were hoping to learn that day or do with the kids that day.

Dan Meyer (18:47):
It’s like you have a bonus brain attached to you there in the room. Sounds really powerful. I wonder a couple about the student experience of this. I’m imagine if I was a student in the room and I heard the two teachers like kind of pause, take this time out and like talk about how interesting my thinking was like behind my back a little bit, like trying to strategize about something interesting. I had said, I just imagine I would, I would feel very good about like, that would be a very positive experience for me. Um, but I’m just curious, can you speak to how students reacted when they’re,

Bethany Lockhart Johnson (19:16):
You mean, if you had been a student in the class and you saw two teachers conferring about your work?

Dan Meyer (19:21):
Yeah. Yeah. Like I, my classmates had of thing that was like, it, it kind of like was so novel that it stymied the teachers and then they like had to pause and like talk about what are we doing? Oh, I don’t know. I can imagine that’d be like know a fun feeling. Maybe I just tell more about me than about the kids, but

Elham Kazemi (19:35):
<laugh> it points to like, how would you go about starting to do this work? Right. Because one is you do, you do have to tell kids, Hey, I’m here with so and so and so, and so, and so, and so it might be just two of you. It might be five of you. It might be more and you know how we’ve been working on X thing in class? Well, today we wanted to try this new thing and, but we’re not sure how it’s gonna go and we need, we need your feedback. Right. So here’s something that might happen. We might pause you, you, I mean, you really do directly tell the kids to do that. And then we’re gonna ask you how it felt and we’re gonna share those feelings with one another. So you do that, you do a little exit card or you,

Bethany Lockhart Johnson (20:19):
How, what felt the pause or how,

Elham Kazemi (20:22):
How, yeah. How did it feel that, how did this lesson go or how did a lesson, how did it feel when you heard, you know, ALM and Dan talk to each other, doing this lesson and they might say, Hey, it’s cool. It’s fun. Kids have definitely chimed in, in like, if we ask a question like, should we do this next or this, somebody will pipe in and say, do that, you know, do this thing. Instead. If, if you kind of pipe in to say, can I ask a question? They just turn to you and look at you and answer your question. Right. So, and we always thank them and we just like pump it up. Right? Like this is so cool because this is all about you. And usually when you say today, you’re gonna be our teachers, especially the little kids. They like get all giggly. Totally.

Bethany Lockhart Johnson (21:02):
Right.

Elham Kazemi (21:04):
Love it.

Bethany Lockhart Johnson (21:05):
You know, you, you were sharing about this really unique situation, which I wish it wasn’t as unique where you had the whole school involved, but how did that happen? And what if you don’t have the whole school involved? What if it’s just me in my grade level, who’s like, I kind of wanna try this, but what

Elham Kazemi (21:22):
<laugh>, I think you could start with your, a peer in your school or a colleague in your school. Yeah. I mean, it’s a little seed, right. And it’s a little seed and then you could make it grow. I also believe in starting small and growing, cuz you do have to invite people into a different way of thinking about what it means to learn together. So you need to experience it, um, in order to believe it.

Dan Meyer (21:49):
Yeah. It feels like we would not want to write off any student as like, oh, they just don’t wanna learn. I think a lot of, a lot of us just like don’t buy that, that there’s other reasons why people need that. A teacher shouldn’t like shouldn’t, that’s not true of students that they have been told they can’t learn or there’s various circumstances the same. I, I suppose the same as like should be true is true of teachers. Like no teacher doesn’t want to learn more about teaching is at least a helpful Axiom to use, to approach the work of teacher growth. And so maybe they, yeah, maybe I feel like I’m the only person in my school who wants to do this, but perhaps that’s not actually true. Perhaps it’s just a matter of creating an imagination or the right kind of enticement or I don’t know what, um, but to start small and grow from there makes a lot of sense.

Elham Kazemi (22:32):
I feel now, like it would be weird and a lot harder for me to invite someone to just come in and watch me teach and sit quietly in the back when I don’t know anything about what they’re thinking and wait until afterwards to get their opinion.

Bethany Lockhart Johnson (22:46):
Oh yes.

Elham Kazemi (22:47):
I would be much more willing to co-plan with someone so that we were both on the same page about what we were trying to do and then when you’re in the classroom with me. So that’s the other thing that’s important cuz I don’t think you can just be in the classroom together and I, you know, interrupt each other’s teachers, if you haven’t planned together, cuz you do have to have some common understanding of what are we trying to do here? Oh the

Dan Meyer (23:10):
Intent here.

Elham Kazemi (23:11):
Yeah. So I would definitely say don’t just show up in each other’s classroom and start interrupting each other. <laugh> if you don’t know what the heck is going on. Yeah.

Dan Meyer (23:21):
Yeah. I, I know that’s directed at one person on this call in particular. I hear that.

Elham Kazemi (23:25):
I know who we’re talking about, but you know, I would be way more intimidating for me if I was trying to do a three act task and Dan just came to watch me do it <laugh> and he hadn’t planned with me. He didn’t know why I selected that task. I had no opportunity to talk to him. Then it would be, Hey Dan, would you just like do this with me? Let’s think through this. Why would you do this then? What, what have you normally done? Oh, okay. Why have you done that? Right. And then to like, okay, let’s try it together. Um, and then, and then along the way, if I have questions, you’re there with me. So sometimes there is someone more experience like if right. And sometimes you’re both just like, I just don’t have that much experience with this. I’m learning this for the first time.

Elham Kazemi (24:04):
Right. And the beauty of the math ed community, whether it’s on Twitter or is that we’re kind of pretty accessible to each other. Right. So if I read something and I have a question about it, you bet I’m gonna reach out to the author <laugh> and say, I’ve been thinking about your work and this is what’s been coming up for us. Can you? So like, it definitely happened with hands down conversations. We tried it in the learning lab and we just couldn’t figure out like that. How do you intercede, like into the hands down conversation cuz the kids are supposed to have a conversation. So we had to like give Kaia and her co-author a few specific examples so they could help our thinking so that we could try it again. Right. And make it better. And I think that is, is what it means to be learning in community is that you use the resources more broadly.

Bethany Lockhart Johnson (24:52):
That’s a beautiful reminder too. And it also helps me feel a little better about all the messages I’ve sent you. Like what does this mean? Can you help me with this?

Elham Kazemi (24:59):
<laugh> I mean, that just makes you feel alive. <laugh> I think

Bethany Lockhart Johnson (25:06):
So. I think P part of the beauty of you talking about starting small is that it does give those of us who maybe aren’t seeing that those opportunities for collaboration reflected in our school culture, it gives us kind of some hope for like, wait, don’t just like, think you can’t start. I, how do you, how do you see, how do you see it growing? Or, or do you think like if you could magically <laugh> like wave your wand and, and create some shifts around, around, uh, the culture where folks are feeling isolated or maybe don’t feel like they have the needs to do this work. What could that look like?

Elham Kazemi (25:51):
Yeah. What could that look like? So time, like we need some imagination around the use of time in schools and I have seen some really amazing opportunities where teachers get to co-teach, which means that they really have to co-plan when, um, there’s a break in a regular school session and there’s like an intercession or like a, like an elective that, um, that doesn’t, I haven’t seen it happen a lot in public schools, but I have seen it happen a lot in independent schools where they’ll have like, stop, stop the presses. It’s like a drop everything and read, but it’s like a drop everything and do an R arts week. And then all the kids in the school get shuffled. So they into multiage groupings and the teachers get to plan something special for like the week. But you could start with like a day, which would at least get you to plan something together and try to teach together and be just in each other’s spaces. And I think that might be kind of an interesting way to start where you have to like mess with the schedule somehow. Cuz the schedule is the beast in schools

Bethany Lockhart Johnson (26:59):
Is kind of the first step. Like we are going to create a shared activity, a shared instructional goal, a shared like where do I start?

Elham Kazemi (27:09):
What, where do you start? I mean, there’s so many good books. We all read, start with something that grabs your imagination. That you’re like, if I got to do this in my class, I’d be so jazzed. And I think my kids would love it. Why would they love it? You know, whatever it is. There’s so many good ideas that people are instantly blogging about publishing, um, slow reveal graphs. I love those two. I have like all these things. I was like, I would love to try these out, but I, I gotta do them with somebody cuz I need a sounding board about like how, what does it mean to do it well? And what does it mean to just do it at the surface level and do it a, you know, in a kind of a crappy way. And we don’t wanna do a crappy job. We wanna do a good job, but you have to start, you have to start sometimes in an awkward, crappy way. Like, you know, and get past that stage. Cause often we try a bunch of stuff, eh, and then we drop it. But like you gotta work on it to make it really

Bethany Lockhart Johnson (27:58):
Good. And if you’ve already tried it and it didn’t go so well it’s, this could be an invitation, like, you know, it doesn’t mean give up on the idea. It means like, Hey let, let’s let’s collaborate. Let’s you know, come into my class. Let’s co plan this.

Elham Kazemi (28:10):
So I would challenge people to think about the schedule. <laugh> try to do something just a little bit different. You know, like when we do learning labs, people are like, well, how do you do that? And there’s no money for it. Actually. We just use our money in a slightly different way to make or that everybody four people get a sub, which I know right now, sub shortages is crazy, crazy, but then combine your classes or do something different. Yeah. You know, um, involve people differently somehow in your, in your school environment to get that time,

Bethany Lockhart Johnson (28:43):
Really see this as a priority. This is a, this is there’s is intense value in this time to collaborate. Yeah.

Elham Kazemi (28:51):
Yeah. There’s so many side benefits for, I think for kids and teachers when you’re able to do this.

Dan Meyer (28:58):
Yeah. You’ve heard of folks. Uh, usually our, our math teacher challenge, our lounge challenge has been, uh, pedagogical in nature or a new CU. And uh, this is a different kind of one. This is, uh, go, go be a Rabel Razr go Rouse rabble at your, uh, front office and figure out the right way to get some funding or some time or shuffle a master schedule in such a way that you have collaboration, time to plan to co-teach to interrupt one another and uh, let us know how it goes. We are super excited and super interested in all of that. Thank you, uh, Elham for being with us here today and sharing all of your wisdom about how teachers grow.

Elham Kazemi (29:36):
Thanks for reminding me. You too loved

Bethany Lockhart Johnson (29:38):
It. We’re never done learning. We’re never done learning. Nope.

Bethany Lockhart Johnson (29:44):
Aha. Thank you so much for joining us in the lounge. I think all of us have sat through effective and ineffective professional learning sessions and just helping us to envision of how this can truly help PD can truly transform our classrooms. It is it’s exciting. It’s exciting. And I think we’ve all learned a lot from our conversation. So thank you. Thank you. Thank you. And don’t forget, you can connect with us in the lounge on Facebook at math teacher lounge or on Twitter at MTL show. Let’s keep this conversation going. Keep it going. Thanks so much for joining us. Thanks

Speaker 4 (30:20):
Everybody. <silence>.

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What Elham Kazemi says about math

“ When children thrive, teachers thrive. So what does it mean for us to thrive if we are focused on our kids’ experiences at school?”

– Elham Kazemi

Professor of Mathematics Education, University of Washington

Meet the guest

Elham Kazemi is a professor of mathematics education at the University of Washington. She studies how strong professional communities develop in schools and how schools can be organized so teachers learn from and with their students. This work is informed by equity-oriented research on organizational learning, children’s mathematical thinking, and classroom practice.  She is co-author with Allison Hintz of Intentional Talk, which focuses on leading productive discussions in mathematics. She also edited Choral Counting and Counting Collections with Megan Franke and Angela Turrou, which focuses on the importance of counting from preschool to 5th grade.

Follow Elham on Twitter

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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.

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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!

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

Download Transcript

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.

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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!

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!

S4 – 01. Joyful math teaching with Kanchan Kant

Podcast cover for "Math Teacher Lounge," Season 4, Episode 1, titled "Joyful math teaching," featuring Kanchan Kant, described as a math educator and transformative leader.

This season on the Math Teacher Lounge podcast, we follow the theme “joyful math” and uncover its meaning.

In this episode, Kanchan Kant joins Bethany Lockhart Johnson and Dan Meyer to discuss the key, early investment she makes at the start of the school year to ensure her math teaching will be joyful for herself and for her students for the rest of the year.

Explore more from Math Teacher Lounge by visiting our main page.

Download Transcript

Dan Meyer (00:00):
Okay, we are recording. Hey folks. Welcome back to Math Teacher Lounge. (laugh)

Bethany Lockhart Johnson (00:06):
Hardly off to a rocking start.

Dan Meyer (00:06):
Yeah. Yeah. <laugh> Did you like my energy there? Hey folks. Welcome back to Math Teacher Lounge. It’s a new season with your host Dan Meyer. And…

Bethany Lockhart Johnson (00:15):
I’m Bethany, Lockhart Johnson. How’s your summer Dan?

Dan Meyer (00:22):
Summer for me feels really hectic as we prepare, here at Amplify, for the new school year, and everyone’s starting these new math programs. So I’ve been feeling quite amped up, like usual in the summer. But also, my kids started big kid school. So I’ve been seeing the educational system from the role of a parent and all the anxieties and I worry, will I be my kids’ teacher’s most annoying parent <laugh> … So what kind of math curriculum you using? Oh, have you heard of core counting? Can I lead a math center? What’s this worksheet about? I’m really worried my kids are just overall gonna hate my vibe when I come around their classes. Uh, <laugh> so lots going on with me.

Bethany Lockhart Johnson (01:06):
It’s already happening for me and I have a toddler.

Dan Meyer (01:10):
<laugh> There we go. Anyway, that’s what I’m up to. That’s how I’m feeling. I’m curious how you’re doing. We haven’t chatted in a while. We’re excited about the podcast, but it’s been a bit, you know? Bethany got a break from me and my antics over the summer. So, how are we finding you here, as we ramp up to the new season?

Bethany Lockhart Johnson (01:24):
Uhhhh. Well, let me just tell you, I have a toddler. That’s kind of all I need to say. Except that’s not all I will say. Of course, I’ll say more. I am exploring, I’m dipping my toe into the extracurricular toddler activities; the music classes of the toddler world, the creative movement of the toddler world. And yeah, I have lots of opinions and lots of things to say about the teachers. And I’m like, Ugh, I can’t wait to be room mom. And just like…<laugh>

Dan Meyer (01:55):
Just let it rip, you know?

Bethany Lockhart Johnson (01:57):
I have opinions on everything and just hope I don’t get kicked out of the class.

Bethany Lockhart Johnson (02:05):
It’s been an eventfully recharging summer and we are ready for this new season. And in fact, we’re so ready that we decided that we were gonna mix up this season. Just a, just a tiny bit. Shall I explain Dan?

Dan Meyer (02:21):
Yeah. Let’s do it.

Bethany Lockhart Johnson (02:22):
So we have loved all the different topics that we have explored in the Math Teacher Lounge world, but we kind of feel like we need to do some more deep dives. So for this season and the foreseeable seasons …

Dan Meyer (02:38):
We’ll see how it goes.

Bethany Lockhart Johnson (02:38):
Let’s stick with this season. For this season. We’re going to be exploring a singular theme.

Dan Meyer (02:46):
We’re not bouncing around. Yep. We’re not bouncing around from a guest to guest going on whatever shiny thing in the river bed catches our eye. We’re gonna take one theme and see where it goes. What we working with here this season?

Bethany Lockhart Johnson (02:57):
This season, we are going to be exploring the idea of joyful math, joyful math. And Dan, the question I have for you is, is the term joyful math one that you use on the regular?

Dan Meyer (03:10):
No, it definitely is not. I think that joy and math are very rarely, you know, connected in the popular mind. Number one, and number two, you know, I’m kind of an ornery fellow, so that’s not my natural kind of description of math. But we decided that it feels like an important one at the moment, because a lot of math teaching–a lot of teaching in general, math teaching in particular–math teaching is often not a joyful discipline for students, where, you know, I’ve done some research where you look at what people type into Google. And I looked at like, what they…why am I bad at X? And I looked at that for where X is math, where it’s science, where it’s reading, where it’s history. And it was just wild to see how many more hits there are out there on the Internet for “why am I bad at math?” People don’t really associate math with joy, but also we’re looking at joyful math in terms of joyful math teaching. Math teaching, teaching in general, is a tough field at the moment with a lot of teachers leaving teaching. And those who remain are having a lot of soul searching and thinking about, why am I here and how do I sustain this work? And in an environment that seems hostile to my interests or my talents, or work-life balance. And so that’ll be the theme that we’re gonna kind of uncover over the course of our season, talking to various interesting guests, including one today about, yeah, joyful math teaching and joyful math.

Dan Meyer (04:43):
And to help us think about what joyful math teaching looks like, we figured we’d first look at what UN-joyful math teaching looks like. It happens to be the case that we’ve been in a pandemic as you might be aware, and teaching has been challenging. And the NEA, our National Education Association, surveyed its member teachers and asked them the following question … Gave a list of issues that school employees have experienced and asked, for each one indicate how serious of a problem this is for you. This is a survey where more than half of members said they are more likely to leave or retire sooner than planned because of the pandemic. And this is almost double the numbers from July, 2020. It’s really hard to keep track of teacher departures and unfilled vacancies across states. So I don’t wanna like blow this up out of proportion, but it does indicate some real challenges in teaching. So Bethany, I was curious, what do you think like at the top of the list, like what kinds of factors, issues facing educators would you imagine there are?

Bethany Lockhart Johnson (05:48):
So if I’m to understand you correctly, these are reasons someone is not actively experiencing joy in the profession of teaching. Like why would they leave?

Dan Meyer (05:58):
Exactly.

Bethany Lockhart Johnson (05:59):
Well, the number one thing that came to mind for me, well, okay. Wait, wait, one other caveat I need to ask about, you said specifically pandemic-related or just in general, because if it’s pandemic-related, then I think, well, there’s health issues, right? That people are concerned about, but in general, the thing that came to mind was a lack of support from administration districts, lack of funding, and overcrowding in classrooms. Like, you know, I saw somebody had 40 students in their classroom. So those are the two things that I can imagine like top on someone’s list that would make them experience less than a joyful day.

Dan Meyer (06:44):
Yeah. There’s a bunch of you’re kind of identifying here. So number seven on the list is lack of respect from parents and the public, which is like 76% of teachers call that out as serious for them. Others that you kind of circled around in terms of resources go like, not enough planning or unstructured time in the job kind of ties into resources. Yeah. But there’s others that are on the list that I’m curious, you wanna take on the swing at it, given what I’ve said here,

Bethany Lockhart Johnson (07:15):
I feel like too much being asked of them, like being asked to wear too many hats, like they’re being asked to not only teach their class, but also cover all the vacancies and supervise recess and, you know, make a delicious, nutritious lunch. That’s what came to mind. Am am I close?

Dan Meyer (07:33):
Yeah. Number four on the list, unfilled job openings leading to more work for remaining staff. People covering, you know, not just the kind of external to teaching work like you’re describing, but also just taking on like losing your prep period, to take on a class that has been unfilled for all kinds of reasons. Yeah.

Bethany Lockhart Johnson (07:54):
Yeah. I’ve only gotten the fourth. Give me one clue, one clue about …

Dan Meyer (07:59):
So, I mean like, so number one is general stress from the coronavirus pandemic, you know, which I feel like …

Bethany Lockhart Johnson (08:06):
I mentioned that.

Dan Meyer (08:07):
I’ll give you that one. Yep, yep, sure. And then number two, close behind, is feeling burned out, which I think ties into what you’re describing as well. I’m giving Bethany credit on that one. The third one is very different from the ones you’ve been describing. I think I cannot in good faith give you even partial credit for this one. I’ll just say it. Student…

Bethany Lockhart Johnson (08:28):
Wait! Dan, this is not how you give clues.

Dan Meyer (08:31):
Here’s a clue. It’s student absences due to COVID19. It’s really hard to deal student absences. That’s your clue.

Bethany Lockhart Johnson (08:40):
That wasn’t a clue that you told me.

Dan Meyer (08:43):
Yeah, let’s see. I think that’s largely it. There’s also pay is too low, is on the list; student behavioral issues, on the list. And I think that about covers it. So all of that, that basket of items has led to more than half of teachers in this survey, saying that they’re more likely to leave or retire from education sooner than planned. And I don’t know. I think we all know teachers who have bailed.

Bethany Lockhart Johnson (09:08):
I’ve never played a board game with you, Dan, but if we ever play a board game, we’re gonna work on your clue giving, ’cause I want to keep guessing. And you just told me.

Dan Meyer (09:22):
Yeah. Yeah.

Bethany Lockhart Johnson (09:22):
In all seriousness, the <laugh>. In all seriousness, I think yes, the stress of the pandemic and students being absent, what some folks are calling unfinished learning, all of those pieces do play into it. But a lot of those things that you’re mentioning on the list are things that are not unique to the pandemic, right? Like those are things that I feel like there is some modicum of control that we could have over shifting the way the culture of the teaching profession is going so that we could create a more joyful experience for educators, administrators, and students.

Dan Meyer (10:03):
Yeah. Good call out. That’s exactly right. We could tax the people who are not in the classrooms more and increase the pay to classroom teachers. You know, there we go.

Bethany Lockhart Johnson (10:11):
Oh. Bingo. Why didn’t we ask you sooner Dan, for your wisdom.

Dan Meyer (10:15):
Yeah. I’m … solved by Dan. Yeah, good point though. So I read that and yeah, I think that there’s been some … people have critiqued the NEA for being very alarmist about teacher departures as the year has ramped up. It has not been quite the flood of departing teachers as was predicted and thank heavens for that, but we should still be very bummed if teachers are unhappy and wanting to leave and feel like they can’t leave. That is definitely not good. So we were really excited to bring to the table, someone who is just a very joyful teacher and one in a very intentional way. Someone who has a lot of discipline in how she approaches the job and the students in it and tries to create a joyful environment for herself, Kanchan Kant. Kanchan is a math and computer science teacher at Newton North High School in Newton, Massachusetts. She’s been sharing her love for math with her students for the past four years, while also being instrumental in setting the culture and ethos of the math department at her school in her role as the assistant department head. We welcome you on the show Kanchan to help us understand joy and math teaching. Thanks for being here.

Bethany Lockhart Johnson (11:29):
Welcome!

Kanchan Kant (11:30):
Thank you for having me. I really appreciate it.

Bethany Lockhart Johnson (11:33):
One of my friends, her son was asked as his first math homework assignment to write out his math bio. And I loved that idea because we got to hear a little bit about your bio from like a broader perspective. But if we were to ask about your math bio, I will speak for myself to say like, automatically certain images flash into my mind, right? To think about my relationship, my evolving relationship with math. But I’m so curious if I was to ask you, what’s your math bio? How did you become the person, mathematically speaking, that you are today? Would you mind sharing a bit about that?

Kanchan Kant (12:10):
Of course I would love to. So I was born and raised in India and I belong to a family which considers mathematics to be extremely important to succeed in life. My father used to have me add and subtract license plates since I was four years old, when we were out and about. I loved math in school, it just made like complete sense to me. It was logical and you know, it was my favorite subject. I loved it all through high school. I had a confidence speed breaker in undergrad. When in my second semester I almost failed the engineering math course that I took. That was the first time math felt like too much and not like my best friend, which it was supposed to be. So it was a while before I could summon the courage to take on another math course in college.

Kanchan Kant (12:56):
But once I did that, it was like old times. I realized I had to persevere through the challenging bits. And once I did that, it started to make sense again. And through my journey, as an educator speaking to people from various backgrounds and like coming to the United States, I realized that math is challenging for everyone at one time or another. For some people that is elementary school. And for some others, it is college or even later. Either way does not mean that you are not a math person. When I was in college, I felt I was not a math person. Whereas my sister, my very own sister said the same thing about math in middle school. Both of us use math every day. And we are definitely, definitely math people. So for me to be a math person is to persevere, to approach problem-solving in a logical manner, and to find the joy in the process ,as well as the answer.

Dan Meyer (13:47):
That’s wonderful. Yeah. A lot of people, have a moment where they feel like almost betrayed by what they thought was a close friend of theirs, with math, where it’s like, wait, I thought we were tight. You know, I thought we were cool. You and me. And there’s that moment. And I wonder if that’s been a useful moment for you to, you know, bring back now and then as a teacher with students who might feel that even, you know, in high school or in a secondary school as a kid.

Kanchan Kant (14:15):
Absolutely. Like when I talk to students and tell them, yes, I had difficulty in math too. It has not always been easy for men and there are still things I struggle with sometimes, then it’s like more modeling for them that you have to persevere, you should persevere. And once you do that, it makes sense and you can feel successful. So, almost every year I end up sharing the story with my students.

Bethany Lockhart Johnson (14:38):
There’s so much value in that, right? That you are sharing that vulnerability with students. And to say your relationship with mathematics has not been, you know, smooth sailing the whole way through. There were times when you had to work harder than others.

Dan Meyer (14:55):
Yeah. Really fun to hear about you and your father as well. I tried to ask my five-year-old to do some skip counting the other day, like, okay, cool, you’re hot stuff. You can count, you know, up by ones, but what about by twos? And the moment really fell flat. And I watched myself becoming the kind of parent who is whose enthusiasm for math is one day resented by his children. I feel a lot of, yeah, I felt your anxiety Kanchan, with math itself. And now I feel anxiety as like someone who loves math and loves to teach math and may one day alienate the people closest to him. <laugh>

Kanchan Kant (15:31):
I don’t like that future. I have a three-month-old. I do not like this future of mine. If I have to go through what you’re going through. Uh, oh, <laugh>

Dan Meyer (15:38):
You got this. So Kanchan, you’re going back to the classroom coming up here at the time of this recording. It’s a few weeks out. And we’re thinking about like the kind of ways that math teachers sustain a disposition that is joyful. How are you feeling right now, as far as going back to class after this summer? Are you feeling excited, anxious, some combo, tell us about it.

Kanchan Kant (16:01):
I would say combo, but more excited than anxious. I was on maternity leave, as I mentioned, before the school year ended, and I missed the students dearly. Like, my students are what gives me hope in the darkest times. They are thoughtful. They’re empathetic. They’re so eager to learn. And very soon into my teaching career, I realized that if I take the time to get to know my students and make them feel safe and seen in my class, teaching them math would be so much easier and so much more fun. So I’m a little worried about this being like fourth year into the pandemic, but let’s see. Last year I felt the students were finding it difficult to interact with and work with their classmates because they had not been doing it for so long. So I’m hoping this year would go a little better and I’m really looking forward to working with them and building community and see how it goes.

Dan Meyer (16:53):
So if I’m understanding you correctly, you are feeling very well recharged here. You had basically an extended summer with this maternity leave, basically just like a lot of rest and relaxation over the last, like several months. Um, if I get you here. So anyway, I’m glad for that for you. And, yeah. I also hear you on the difficulties of teaching post pandemic or mid pandemic. Anyway, thanks for sharing that.

Bethany Lockhart Johnson (17:19):
What I love is I hear you being so intentional, like thinking about those relationships and thinking about that community that you want to build, you know? How do you hope that you’re gonna cultivate joy in your teaching this year? I mean like, are there certain routines or disciplines that you specifically call forth or that you think other teachers should think about?

Kanchan Kant (17:41):
So at the start of every school year, I dedicate like about three to four weeks to set up the classroom culture, both social and academic. I call my classroom a learning community. We start with community circles, we do icebreaker activities, group building and all those kinds of things. But most importantly, we do a lot of collective problem solving. So I try to present students with problems, which can be solved using multiple strategies and have multiple entry points, basically they are low floor, high ceiling problems. These could be stretch problems that they have seen before, like concepts that they already know or logical puzzles, or just wrapping their heads around different problems. Then I have students share their strategies. The more strategies they have on the board, the more successful I think the problem was. Every year, inevitably, students come up with strategies that I’ve never ever seen before for the same problems that I do.

Kanchan Kant (18:35):
And so I have students come up to the board, they would share their strategies. If they’re not ready for that, they would walk me through their strategies. And I would write their name on the board with different colored markers and everything. Basically to give them choice and agency. It also shows them that the process of doing the problem is so much more important than just getting the right answer and that it is okay to make mistakes in our learning community. I use a lot of vertical whiteboards, some concepts and problems align so well with the vertical surfaces, especially when students can explore together, learn from each other. So I do a lot of that. As for routines, I would say consistency is the key. I consistently reinforce that I want to hear multiple strategies, that it is okay to make mistakes. I am willing to learn from you as much as you’re willing to learn from me. So all like that consistency in culture more than the routines, is I feel important to bring that joy.

Dan Meyer (19:29):
That’s super interesting. Thanks for that. So I’ve heard, I hear two common objections or two common concerns to using rich tasks or doing problem solving. And I think I heard like answers to those two common reservations within what you described there, but I wonder if we can kind of bring it to the surface. And so one of the reservations is around the time that those problems take and another is that teachers often feel like, well, I might be surprised, you know, I might not know what to do with what a student does. And I thought I was hearing like some very interesting answers to both of those kinds of reservations from you, but would you just surface those up if you have some.

Kanchan Kant (20:09):
So in terms of time, I feel if I spend the time at the beginning of the year, setting up that community and doing those problems, it makes learning the math and learning the concepts much more faster throughout the rest of the year. And even when I am trying, like, even throughout the year, if we are doing a warm up problem, as I call it, which has multiple strategies, that’s gonna clarify so many more concepts when we talk about those five, 10 strategies of doing the same problem, then going through multiple problems to clarify those concepts. So for me, it actually saves time instead of taking more time.

Dan Meyer (20:43):
Hmm. That’s super interesting. It’s an investment I’m hearing from you that, yeah, you might not be hitting the curriculum quite as hard early on, but that all of a sudden you’re in the spring and it’s like, oh wow, we’ve been moving so much faster through territory that has been more challenging. What would you say to you know, comfort concerned educators or to address the concern that I don’t know what I’ll do with these five, 10 different strategies. You say, I always see strategies that I’ve never anticipated. Like, it’s a good thing, you know, like you’re happy about that. I think that’s a very intimidating thing for lots of educators. What would you say to that?

Kanchan Kant (21:19):
I think like, for me, it’s a good kind of discomfort. That means like a student is teaching me something, which is actually doing two things. One modeling for them that I’m willing to learn and that I don’t know everything. And two, also telling them that they’re mathematicians. They know what they’re doing. They’re not just receivers of math, they’re actually creating it. So for me, that is very, very important.

Bethany Lockhart Johnson (21:43):
I love that so much. When you think about your students and you’re about to start this new school year, how do you hope your students will experience math in your classroom?

Kanchan Kant (21:53):
So I hope my students can see the beauty and joy of math. They can see that math is a way to see the world and not as something we have to do to get through school. So my hope for my classroom is that we can learn to problem-solve and persevere through problems and learn from each other and not just get through the curriculum. Because like, I think math is a wonderful way to learn these skills, which are so important when you get out of high school. Most importantly, I just wanna make sure that my students see themselves as mathematicians. And like one of the things that like I have to share with you that, because one of my highlights for the year has to be the Desmos art project. I do it every year for the past three years, I think since I’ve started teaching sophomores. And I do it as a unit assessment for functions and my students design something that is meaningful to them, using all the different kinds of functions and colors and shading and everything that you can think of in Desmos.

Kanchan Kant (22:49):
Thank you so much for that though. It is such a cool way for me to see them do that. Like I have seen such amazing creations. One of my students once made a scaled working model of a solar system wherein the planets were rotating at relative speed. The Saturn had rings and they were like asteroids and everything. And then it was beautifully done. Then there was another one who did a very, very detailed whale scenery, her reasoning. I wanna be a Marine biologist and I wanna study whales. So this is what is meaningful to me. So like that one project is just a culmination of everything that I want students to see in math and in my classroom. And like I do more of those kinds of things, but that is one thing that it’s one of the highlights of my year.

Dan Meyer (23:32):
That’s awesome. I love hearing that. Yeah. Shout out to the team at Desmos Studio for building and continuing to develop a tool list that so good for art and animation, even, in addition to some mathematics with a more computational kind. Yeah, that’s really exciting. What’s interesting to me is that you teach high school, and I think that like students at that age have a very well-defined sense of what math is and who they are as mathematicians. And then along you come, you know, and like offer this really interesting disruption, you know, in their sophomore year of high school that like, oh, this can be totally different, this relationship who I am. And that’s just really exciting. I imagine it’s a very surprising year. I would imagine that first month, I would imagine is a very surprising month for a lot of your sophomores.

Kanchan Kant (24:20):
Yeah, it is. I mean, that’s why I take that time to build that community because then that sets the tone and the relationship that we’re gonna have for the rest of the year. Students get to know how to work with each other. They get to know each other, that whole piece is like super important because of that.

Dan Meyer (24:35):
Yeah. That’s awesome. So here’s the thing, like we’re exploring these ideas about joyful math teaching and what it will take to cultivate restore, reclaim joy in math, teaching this next year. And you’ve offered us these really interesting ideas some, some very, you know, philosophical and some technical about how you spend time in ways that lead to joy in the spring for you and your students. Love that. We don’t want to as hosts, as researchers, investigators of this joyful math teaching idea, we don’t wanna say it’s all up to teachers to change their mindset, to do different technical practices, and that will lead to joy. We also wanna be really attentive to the environment that surrounds you, the people who are around to support you, the policy makers, the social structures that influence your joy in very significant ways. So what we would love to know from you is, how are you supported by the greater educational community in keeping your joy in your work? I’m thinking, especially about administrators, you know, front office, staff, parents, even, can you name a few ways for those sorts of people who listen to this podcast, how they can cultivate a math teacher’s joy this coming year?

Kanchan Kant (25:54):
I would say trust. I think more than anything, educators want administrators, parents, the greater educational community, to trust them to be professionals and experts in what they do. That does not mean that we don’t want to learn, that we don’t want feedback, that we don’t wanna get better. It just means that we keep the wellbeing of our students as our top priority. And we would like to be trusted to do just that. Also just keeping in mind that whether we like it or not, we are still adjusting to the new normal while recovering from the worst of the pandemic times. A lot of us are recovering from trauma, a lot of our students are recovering from trauma, and we need time and space for our social and emotional wellbeing.

Dan Meyer (26:35):
Yeah. I’m really curious, Kanchan, you’ve done a lot of work in your area with your grading team and in thinking about equitable and biased resistant instruction. I’m curious how you see those efforts lining up with creating joyful math learning conditions for all students, not just students from a dominant culture of math doing, let’s say.

Kanchan Kant (26:55):
For me, creating an equitable environment in a classroom is most important because once you have that, that’s when you have the relationships, that’s when you have the culture, that’s when all students actually thrive. So to that end, our school and our department has been doing a lot of work around grading practices. We actually assess how we grade students, where the bias is, what we can do to make them more bias resistant. Should we move to mastery based grading? Like that’s something I’ve been experimenting with for the past two years. Through the pandemic, I started doing mastery based grading so that my students can get more opportunities to show that they have learned the content. And so like just little things which help bridge the opportunity gap. I would say another project that our school undertakes is called the calculus project wherein we have students in Black, Latinx, and low income families sign up for that and are recommended for that. And then we do summer classes and yearlong support to preview the material for next year, not as a remedial class, but to actually set students up for success in AP classes for the coming year. So we have the community buildup. We have the courses we have like math support. It’s a very beautiful thing actually. And I’ve been working with that program for four years now. So yeah, so those are my ways of creating more equity in our school.

Bethany Lockhart Johnson (28:19):
That’s so beautiful and I deeply, deeply wish you had been my high school math teacher. And I have to say that the theme that I kind of keep hearing is this intentionality. How you are so intentional about your work, not just with what your students are learning, but how they’re learning it, how they are engaging with this subject and how they are building their own relationship. You talked a little bit about your relationship over the years with mathematics, but how are your students building that relationship? And so I’m just very appreciative of you sharing that with us and with our listeners. And we are so excited to have learned a little bit about, like, I feel like I got a little mini peek into your classroom.

Kanchan Kant (29:03):
Thank you.

Bethany Lockhart Johnson (29:04):
And can I say that if you are listening to this prior to October at NCTM Los Angeles, you will get to hear Kanchan Kant speak at Shadow Con. Can I give that away, Dan? Is that, is that …

Dan Meyer (29:23):
You can drop that. Yeah, It’s pretty top secret.

Bethany Lockhart Johnson (29:26):
Can I drop it?

Dan Meyer (29:27):
Yeah. Do it. Yeah.

Bethany Lockhart Johnson (29:28):
Dan and I will be in the audience cheering you on. It’s been a joy to learn with and from you, and we are so excited to just, you know, kind of keep marinating on some of these ideas about how we can continue to be intentional about creating joyful math spaces for our students. Thank you so much for joining us today.
Kanchan Kant (29:49):
Thank you so much. It was a real pleasure.

Dan Meyer (29:57):
So Bethany, I loved hearing Kanchan talk about both her, just her joyful personality, but how she cultivates joy through craft and technique through, you know, through the various ways she interacts with students in intentional ways, that those make the job more joyful for her. And I thought it was really interesting to hear her talk about how autonomy is the thing that she needs most in her job environment to feel like she can be joyful in her work. In that context, I saw … something on Twitter popped up for me in my, you know, my many Twitter wanderings. This is a segment we might call, Dan finds something on Twitter and shares it with Bethany. Which we’ll tighten that up a little bit, but I’m sending this over to you right now, and I’d love to know as you check this out, what you’re seeing and what you’re thinking and we’ll chat about how it relates to our interview here in a moment.

Bethany Lockhart Johnson (30:47):
All right. I’m ready, send it over. It’s opening. So this appears to be a document by the way, outlining, maybe it’s a district, maybe it’s administration, they’re outlining expectation type and expectation guidelines. Hmm. Okay. And these are lesson plan expectations. Expectation type. Timeliness. Plans are due no later than 6 p.m.. Friday prior to the week of instruction. Comprehensive, all activities for the week for all subjects taught should be included and complete by due date and time. Plans should have at minimum, the following, see template for detail. Okay. So then it goes through the things that the plans need to have, the topic title, target, the objective, the activities, the sequence, the display agendas to be displayed backward design. Okay. So basically <laugh>, we were just talking about, overwhelm. And when I see this document, listeners, have you ever received something from your administrator or anyone, let’s take it more broadly, that is requesting something of you that would take so much time to complete and be so out of touch with your lived reality that it really genuinely sucks the joy out of the experience.

Bethany Lockhart Johnson (32:25):
So the first thing that I see that this document, and again, the goal of whichever district’s plan this is, is that these expectations will lead–now, mind you, I am a fan of like, you know, looking ahead, I’m not a like, oh, hey, what am I gonna teach in five minutes? No, but the idea that then it lays out all of the things in such detail that you’re gonna be teaching feels like one of those pacing guides where, oh, move on to the next page, whether or not your students have any sort of sense making whatsoever. So my first thought is, oh, sad. I have to stay here. I’ll be there past 6 p.m. But I’m gonna be there trying to make the plans for the next week based on what I think my students have learned. Hmm it’s sounds like a little bit of a bummer. Dan, what did you think when you saw this and did I do a fair description of what it is?

Dan Meyer (33:25):
No, it’s, it’s a tough one to describe, ’cause it’s basically a wall of text and commands from an administrator who like, I just have to imagine has just like acres and acres of teachers trying to beat down their door to teach at this school, if this is how you’re gonna treat your teachers. I mean just, yeah. The idea of having a week… I’m with you, you don’t wanna just like, just jump in by the seat of your pants, but the idea of having a full week of lessons for every section you teach, every prep you teach, planned and submitted with every minute, basically morseled out to different goals. It says down here, you gotta like, for all of these, download a CSV of grades and whatnot and attach those. It’s the sort of thing, like you said, there are some edicts that you get from administration where you just have to laugh or just like, you have definitely missed like what I am willing to do here. It’s so far beyond. Yeah. I can’t imagine it. And it just felt like, yeah, it was a great way to get teachers like Kanchan to feel like a real lack of autonomy. Like it’s this would not work. I don’t think.

Bethany Lockhart Johnson (34:33):
And it’s not even like willing to do. Like, let’s say you’re even willing to produce it. Let’s say that me, the rule follower is like, okay. I’m gonna attempt to meet these demands. One, most teachers were just, you know, they probably would put baloney down there anyway. Not saying that I would, but I’m saying like, it’s clearly just a hoop that they’re having to jump through and two…

Dan Meyer (35:04):
Yeah. Compliance, right?

Bethany Lockhart Johnson (35:05):
Yeah. Compliance, compliance. There you go. And two, yeah, it feels like it’s about control and not trusting the teacher. And I love that. Kanchan said that trust is what she needs. Right? You’re hiring me. Yes. I still have lots to learn, but you’re trusting me and you’re creating an environment where I can continue to learn from and with my students. And if I was being asked to submit this tome every Friday before six, that is predicting, what does it say, anticipating the steps necessary for student mastery? You know, I kind of feel like maybe it’s like that one or two teachers where maybe they feel like, oh, I don’t trust that teacher or that teacher isn’t doing a good job, whatever. We better do this for all of the teachers, but then it’s not gonna change the practices of that one teacher and all the other teachers are gonna be resentful.

Dan Meyer (36:00):
Like if there was like feedback that came back to you on, you know, on lesson plans or there was some like something that was very constructive or productive, like maybe that would be different, but it really just feels like these are gonna go into a digital drawer somewhere and not be looked at, at all.

Bethany Lockhart Johnson (36:15):
Yes. The digital drawer. Like I’m gonna send you this report and then nothing is going to happen with it. Except that four hours of my time. Well, you wouldn’t do it, but <laugh>…

Dan Meyer (36:29):
You’ve worn me down. You’ve worn me down. I’m now putty in your hands and more compliant for the next thing. And I also just wanna shout out the administrator today, who I emailed asking about like a teacher participating in a project and this administrator said, I have a standing policy not to email teachers over summer break, which you know, as administrators out there doing just the good work, you know, trusting teachers, watching out for them, trying to be a force multiplier for teachers, making the road wider, the way easier for teachers. So shout out to y’all doing the out there. Really appreciate that.

Bethany Lockhart Johnson (37:04):
Okay. Wait, wait. About that email thing, quick question. Did you ever check your email over the summer?

Dan Meyer (37:11):
Uh, yeah. That’s one way in which I was the, you know, I just love email, you know? Oh. Someone wanted to reach out. Oh, oh, Banana Republic wants to tell me about new clothes that are on offer. <laugh> I mean like, it’s just, I love those personal emails. So yeah, I did check my email over the summer.

Bethany Lockhart Johnson (37:26):
Somebody emailed me recently and they emailed me at like two in the morning. And because I currently have a toddler, I received the email at four in the morning because you know, the best thing to help myself fall back asleep is to hop on my phone, right? Like I’m already up trying to get my toddler back to sleep. I might as well start scrolling. Anyway, so the person had this little thing at the bottom of their email and it said, I have, something to the effect of, I have really like wonky work hours. I may be sending this outside of the like more standard nine to five. But please don’t feel pressure in any way to respond outside of your time. Would you appreciate that, seeing that or does it make you feel like you should respond? ‘Cause I almost responded at four in the morning, and maybe that says something about …

Dan Meyer (38:15):
They’re telling you not to respond.

Bethany Lockhart Johnson (38:16):
I know it was helpful.

Dan Meyer (38:18):
It says don’t, but you’re like, what if they’re saying that because they really expect me to respond and this is one of many ways that you and I are different. I’m always happy to see that.

Bethany Lockhart Johnson (38:29):
Do you respond? I’ve texted you in the evening because you know I have some wonky hours. Do you respond to things, like where’s your boundary there? Or when you were in the classroom, where was your boundary there? Did parents have your phone number?

Dan Meyer (38:43):
No. I gave kids my cell phone number for a couple years and it was a wobbly experiment. But parents will email, you know, back and forth with you. And I think the best thing to like … I love just like adding some friction, some latency into the kind of the chain, you know, like I hate going like back and forth, like da, da, da, da, and then like respond and then da, da da respond. And it just like goes back and forth. So just like just sitting back for an hour or two hours, you know, not responding, just let someone cool down, calm down. Email just gets you more email. That’s like if you send an email, you are just making it more likely to get more email. It’s a, you know, it’s a problem.

Bethany Lockhart Johnson (39:20):
Are you one of the zero people?

Dan Meyer (39:23):
My inbox is at zero. Most days before work.

Bethany Lockhart Johnson (39:26):
You’re joking!

Dan Meyer (39:28):
I end work every day with inbox, at zero.

Bethany Lockhart Johnson (39:31):
You’re joking!

Dan Meyer (39:32):
That’s just, you know.

Bethany Lockhart Johnson (39:33):
Who are you?

Dan Meyer (39:34):
You know, you should take my life coaching, Bethany. I’ll give you a discount since we’re math teacher, lunch pals. But, um yeah. I can help.

Bethany Lockhart Johnson (39:44):
Thank you for qualifying where our pal-dom lives. I wouldn’t even tell you how many are in my inbox. Point is, if you are actively starting the school year, we celebrate you and we are here and over the next few months, we’re gonna be diving into joyful math and that definition’s gonna keep evolving. But I wanna say something that is making me feel a little joyful, Dan. You ready?

Dan Meyer (40:15):
Tell me.

Bethany Lockhart Johnson (40:16):
You and I, in person, at NCTM, the National Council for Teachers and Mathematics. It’s coming up and we are going to be recording Math Teacher Lounge, live. Live, in person! And I hear there’s gonna be like a t-shirt cannon and there’s gonna be, you know, like musicians marching through the aisles or something.

Dan Meyer (40:46):
A marching band?

Bethany Lockhart Johnson (40:46):
A marching band!

Dan Meyer (40:46):
Trained animals. Yeah.

Bethany Lockhart Johnson (40:48):
But the point is, I’m so excited, Dan. And you know, when I see you, I might just, it’s been so long since I’ve seen you, Dan. I’d love to give you a big old embrace.

Dan Meyer (41:04):
You might just, you might just cry. Yeah. Yeah. It’ll be great. Yeah. It’s gonna be awesome for you folks to see me and Bethany have a real awkward first hug since the pandemic. And, uh, but it’s gonna be a blast to hang with us in person. We’ll have some special guests, probably, some interesting segments. You folks should stop on by at NCTM, if you’re gonna be there. Highly recommended.

Bethany Lockhart Johnson (41:29):
Now, we will be broadcasting that episode. You’re gonna get to hear … we’re gonna record it live. It’s gonna happen. In the meantime, you can find us at MTLshow on Twitter, or you can find us in our Facebook group, Math Teacher Lounge. We can’t wait to hear from you. And we’d love to hear what makes math joyful for you? Where can we add a little bit more joy to you this, this season? So thrilled to be back. Thanks for listening.

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What Kanchan Kant says about math

“Creating an equitable environment in the classroom is most important because once you have that, that’s when you have the relationships, and that’s when all students actually thrive.”

– Kanchan Kant

Meet the guest

As a math and computer science teacher at Newton North High School, Newton, MA, Kanchan has been sharing her love for math with her students for the past four years. Kanchan is instrumental in setting the culture and ethos of the mathematics department at her school in her role as the Assistant Department Head. Kanchan also leads the Math Department Grading Team and has been instrumental in making grading policies which are more equitable and bias resistant. In her new role as a Transformative Leaders of Massachusetts Fellow in collaboration with Springpoint and Barr Foundation, Kanchan looks forward to making equity and joy of learning the foundation of many more classrooms.

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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!

Celebrating Keppel Union: A Science of Reading Star Award winner

Find out how this California district used data, teacher partnership, and evidence-based instruction to strengthen literacy across five schools.

By Amplify Staff | June 16, 2026

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Transform literacy in Indiana with intentional knowledge building and systematic skills instruction.

Amplify Core Knowledge Language Arts (CKLA) is a core literacy resource aligned with the Indiana Academic Standards for English/Language Arts that empowers Indiana grades K–5 students. Developed in partnership with the Core Knowledge Foundation, Amplify CKLA was specifically designed to enable teachers to implement proven, evidence-based instructional practices.

Looking for core instruction for Grades 6–8? Click here.

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Recognized quality

Amplify CKLA stands out as one of only a few high-quality, knowledge-building literacy programs recognized by the Knowledge Matters Campaign. Our shared message: Background knowledge is essential to literacy and learning.

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Independently and rigorously reviewed

Amplify CKLA not only received an all-green rating from the rigorous evaluators at EdReports, but it was also recognized by the Knowledge Matters Campaign as a literacy program that excels in building knowledge.

Read our EdReports review

Read our Knowledge Matters Campaign review

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Intentional knowledge building

The Science of Reading reveals knowledge as an essential pillar of reading comprehension and lifelong literacy. Hear from author Natalie Wexler and Amplify CKLA customers on edWebinar about the importance of knowledge building in reading instruction.

Hear from Natalie Wexler

edWebinar Links

Program overview

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.
  • Authentic Spanish language arts instruction with Amplify Caminos.
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How it works

Amplify CKLA teaches both foundational skills and background knowledge in Grades K–2 and combines them in Grades 3–5, in alignment with the Science of Reading.

  • In grades K–2, students complete one full lesson that builds foundational reading skills, as well as one full lesson that builds background knowledge.
  • In grades 3–5, students complete one integrated lesson that combines skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis.

Rich topics

Amplify CKLA builds knowledge coherently across subjects and grades.

Students make connections from year to year by exploring 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.

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Science of Reading resources

Watching students learn to read? Magic. Knowing how they get there? Science.

As you consider your next core ELA program, it’s critically important to understand what the Science of Reading really means—and what it tells us about how to teach more effectively. Unlike other programs, Amplify CKLA was built upon these insights and practices, making it easier for teachers to implement this proven approach.

Contact us

Support is always available. Our team is committed to helping you every step of the way. Contact your dedicated Indiana representative here for program access, samples, and additional information.

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Elizabeth Sillies Callahan

Southern IN
(513) 407-5801

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Jody Kammer

Central IN
(310) 402-7837

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Amanda Knipper

Northern IN
(260) 894-5123

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Paige Lawrence

District enrollment below 1200
(980) 421-2608

Montana 6–8 Science

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Welcome, Middle School Science Reviewers!

Thank you for taking the time to review Amplify Science for grades 6–8. On this site, you’ll find all the resources you need to learn more about this engaging and robust NGSS program. Plus, we make it easy to experience our program firsthand with a live demo account that features our interactive learning platform.

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Overview

With Amplify Science, students don’t just passively learn about science concepts.

No matter where your students are learning—whether at school or at home—they take on the role of scientists and engineers to actively investigate and make sense of real-world phenomena. They do this through a blend of cohesive and compelling storylines, hands-on investigations, collaborative discussions, literacy-rich activities, and interactive digital tools.

Listen to these educators share how the program empowers students to think, read, write, and argue like real scientists and engineers every day.

EdReports All-Green

Amplify Science for grades K–8 has been rated all-green by EdReports.

Read the review on EdReports.

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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 NGSS in fewer days than other programs.

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Unit 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.

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Unit 1

Microbiome

Domain: Life Science

Unit type: Launch

Student role: Microbiological researchers

Phenomenon: The presence of 100 trillion microorganisms living on and in the human body may keep the body healthy.  

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Unit 2

Metabolism

Domain: Life Science

Unit type: Core

Student role: Medical researchers

Phenomenon: Elisa, a young patient, feels tired all the time.  

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Unit 3

Metabolism Engineering Internship

Domains: Life Science, Engineering Design

Unit type: Engineering internship

Student role: Food engineers

Phenomenon: Designing health bars with different molecular compositions can effectively meet the metabolic needs of patients or rescue workers.  

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Unit 4

Traits and Reproduction

Domain: Life Science

Unit type: Core

Student role: Biomedical students

Phenomenon: Darwin’s bark spider offspring have different silk flexibility traits, even though they have the same parents.  

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Unit 5

Thermal Energy

Domain: Physical Science

Unit type: Core

Student role: Thermal scientists

Phenomenon: One of two proposed heating systems for Riverdale School will best heat the school. 

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Unit 6

Ocean, Atmosphere, and Climate

Domains: Earth and Space Science, Physical Science

Unit type: Core

Student role: Climatologists

Phenomenon: During El Niño years, the air temperature in Christchurch, New Zealand is cooler than usual.  

Illustration of a village with houses, fields and mountains under a cloudy sky with waves of wind or rain.

Unit 7

Weather Patterns

Domains: Earth and Space Science, Physical Science

Unit type: Core

Student role: Forensic meteorologists

Phenomenon: In recent years, rainstorms in Galetown have been unusually severe.  

A polar bear stands on a small ice floe in the ocean with an orange sun in the sky and distant icy mountains in the background.

Unit 8

Earth’s Changing Climate

Domains: Earth and Space Science, Life Science

Unit type: Core

Student role: Climatologists

Phenomenon: The ice on Earth’s surface is melting.  

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Unit 9

Earth’s Changing Climate Engineering Internship

Domains: Earth and Space Science, Engineering Design

Unit type: Engineering internship

Student role: Civil engineers

Phenomenon: Designing rooftops with different modifications can reduce a city’s impact on climate change.  

A barren, rocky desert landscape with rover tracks leading to a distant vehicle on a hill under a hazy sky.

Unit 1

Geology on Mars

Domain: Earth and Space Science

Unit type: Launch

Student role: Planetary geologists

Phenomenon: Analyzing data about landforms on Mars can provide evidence that Mars may have once been habitable. 

Two prehistoric reptiles with long snouts and tails are near the shore, one on land and one in water, with plants, rocks, and an island in the background.

Unit 2

Plate Motion

Domain: Earth and Space Science

Unit type: Core

Student role: Geologists

Phenomenon: Mesosaurus fossils have been found on continents separated by thousands of kilometers of ocean, even though the Mesosaurus species once lived all together.  

Geometric design featuring a telescope, mountain, sound waves, and cosmic elements on a purple hexagonal background.

Unit 3

Plate Motion Engineering Internship

Domains: Earth and Space Science, Engineering Design

Unit type: Engineering internship

Student role: Mechanical engineering interns

Phenomenon: Patterns in earthquake data can be used to design an effective tsunami warning system.  

Illustration of a cross-section of Earth showing a volcano near the ocean. Trees, mountains, and clouds are visible above, with subterranean layers below.

Unit 4

Rock Transformations

Domain: Earth and Space Science

Unit type: Core

Student role: Geologists

Phenomenon: Rock samples from the Great Plains and from the Rocky Mountains — regions hundreds of miles apart — look very different, but have surprisingly similar mineral compositions.  

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Unit 5

Phase Change

Domains: Physical Science, Earth and Space Science

Unit type: Core

Student role: Chemists

Phenomenon: A methane lake on Titan no longer appears in images taken by a space probe two years apart

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Unit 6

Force and Motion Engineering Internship

Domains: Engineering Design, Physical Science

Unit type: Engineering internship

Student role: Mechanical engineering interns

Phenomenon: Designing emergency supply delivery pods with different structures can maintain the integrity of the supply pods and their contents.  

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Unit 7

Chemical Reactions

Domains: Physical Science, Life Science, Earth and Space Science

Unit type: Core

Student role: Forensic chemists

Phenomenon: A mysterious brown substance has been detected in the tap water of Westfield.  

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Unit 8

Populations and Resources

Domains: Life Science, Earth and Space Science

Unit type: Core

Student role: Biologists

Phenomenon: The size of the moon jelly population in Glacier Sea has increased. 

Low-poly landscape with trees and mushrooms. A fox sniffs the ground, a rabbit sits nearby, and mountains and sun are in the background.

Unit 9

Matter and Energy in Ecosystems

Domains: Life Science, Earth and Space Science, Physical Science

Unit type: Core

Student role: Ecologists

Phenomenon: The biodome ecosystem has collapsed.  

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Unit 1

Harnessing Human Energy

Domains: Physical Science, Earth and Space Science, Engineering Design

Unit type: Launch

Student role: Energy scientists

Phenomenon: Rescue workers can use their own human kinetic energy to power the electrical devices they use during rescue missions.  

A spacecraft approaches and docks with a space station featuring large blue solar panels, set against a backdrop of outer space.

Unit 2

Force and Motion

Domain: Physical Science

Unit type: Core

Student role: Physicists

Phenomenon: The asteroid sample-collecting pod failed to dock at the space station as planned.

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Unit 3

Phase Change Engineering Internship

Domains: Engineering Design, Physical Science

Unit type: Engineering internship

Student role: Chemical engineering interns

Phenomenon: Designing portable baby incubators with different combinations of phase change materials can keep babies at a healthy temperature.  

Illustration of a roller coaster filled with people, hands raised, going down a steep track against a bright blue sky with clouds.

Unit 4

Magnetic Fields

Domain: Physical Science

Unit type: Core

Student role: Physicists

Phenomenon: During a test launch, a spacecraft traveled much faster than expected.  

Illustration of Earth with arrows and wavy lines representing solar radiation entering the atmosphere, showing a focus on the Asia-Pacific region.

Unit 5

Light Waves

Domains: Physical Science, Life Science, Earth and Space Science

Unit type: Core

Student role: Spectroscopists

Phenomenon: The rate of skin cancer is higher in Australia than in other parts of the world.

A city skyline at night with a prominent full moon, stars in the sky, and a bridge silhouette on the left.

Unit 6

Earth, Moon, and Sun

Domains: Earth and Space Science, Physical Science

Unit type: Core

Student role: Astronomers

Phenomenon: An astrophotographer can only take pictures of specific features on the Moon at certain times.  

Four low-poly dinosaurs with missing body sections are standing in a row; one is yellow, and the others are green. They have purple spikes and red patches on their bodies.

Unit 7

Natural Selection

Domains: Life Science, Earth and Space Science

Unit type: Core

Student role: Biologists

Phenomenon: The newt population in Oregon State Park has become more poisonous over time.  

Red geometric background with icons including a mosquito, DNA strand, bar chart, and world map inside a hexagon.

Unit 8

Natural Selection Engineering Internship

Domains: Engineering Design, Life Science

Unit type: Engineering internship

Student role: Clinical engineers

Phenomenon: Designing malaria treatment plans that use different combinations of drugs can reduce drug resistance development while helping malaria patients.  

Two giant tortoises with long necks stand near water; one tortoise feeds on leaves from a tree while the other is near dense vegetation.

Unit 9

Evolutionary History

Domains: Life Science, Earth and Space Science

Unit type: Core

Student role: Paleontologists

Phenomenon: A mystery fossil at the Natural History Museum has similarities with both wolves and whales.    

Access program

Watch the video to the right plus the ones below showing you how to navigate our digital platform. When you’re ready, follow the instructions below to log into our live demo account.

  • Click the orange button below to access the platform.
  • Choose the resources you’d like to review.
  • Pick your grade level from the drop-down menu.
  • Scroll down to find additional grade-level resources.

Navigating an Engineering Internship (Part 1)

This Part 1 video demonstrates how Engineering Internship units invite students to design solutions for real-world problems as interns for a fictional company called Futura. In the process, they apply and deepen their learning from Core units.

Navigating an Engineering Internship (Part 2)

This Part 2 video demonstrates how to use the Futura Workspace to manage the immersive experience of the Engineering Internship units. This includes guidance on how to create student groups, how to review student work, and how to send students targeted feedback on their designs.

Navigating our reporting tools

Teachers of Amplify Science grades 6–8 have access to a feature called Reporting. When unit assessments are administered digitally, the Reporting tool enables teachers to analyze student performance on the unit assessments.

Differentiation post-assessment

Every core unit of Amplify Science 6–8 features a formal formative assessment opportunity at the mid-way point, or “Critical Juncture,” of the unit, which provides an important opportunity for differentiation.

Get in touch

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Have questions? Bob McCarty is standing by and ready to help.

Robert “Bob” McCarty
Senior Account Executive
(435) 655-1731
rmccarty@amplify.com

Welcome, Idaho science reviewers!

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Sweetwater 6–8 Science

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Welcome West Virginia middle school educators!

We’re honored that you’re considering Amplify ELA for grades 6-8. Below you’ll find resources to guide you in your review including:

  • An overview and introductory video.
  • Program resources to break down the program structure and its components.
  • Step-by-step digital review of all teacher and student materials.
  • Additional resources and an opportunity to request physical samples and access to multimedia resources.

West Virginia alignment coming soon!

Overview

Amplify ELA is a blended curriculum designed for middle school students and teachers, featuring: 

  • 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 over 700 full-length texts.

Before you explore the program on your own, watch the program walkthrough to the right. 

Access and equity

We have a responsibility to provide ELA instruction that gives every student the same opportunity to succeed and excel

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Start your review

Follow these steps to complete your digital review of the teacher and student materials for each grade level. Once you’ve completed your digital review, complete the form at the bottom of the page for physical samples and full access to the multimedia resources.

Review step 1: See Amplify ELA in action

Hear from teachers, administrators, and students across the country who are using Amplify ELA in their classrooms right now.

Review step 2: Watch this Amplify ELA overview

Before you explore the program, watch this overview to get familiar with the program and ways to find resources for you and your students online.

Review step 3: Start exploring

To complete your review digitally, click the orange button below to explore the digital platform. You’ll have access to two full units for every grade.

When you explore the digital platform, a quick guided tour will familiarize you with navigation of the program and its features.

While you can access all of the print resources from the digital platform, we’ve collected a few exemplars for each grade level: 

Grade 6: Summer of the Mariposas

Grade 7: Poetry & Poe

Grade 8: Space Race

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Request more information

You can request physical samples or full access to the digital resources by submitting the form to the right, or if you have any questions reach out directly to your sales representative, Melissa Webb.

Melissa Webb

Account Executive

mwebb@amplify.com
(304) 552-0234

6-8 Literacy

Welcome to Amplify ELA for grades 6–8!

On this site, you’ll find resources to guide you in your review.

When you’re ready to explore full units in the digital Teacher’s Guide, click the “Review” button at the bottom of this page.

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About the program

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 700 full-length texts.

Hear from educators like you

Hear from teachers, administrators, and students across the country who are using Amplify ELA in their classrooms right now.

Resources to support your review

Download the resources below before you review the program to better understand the program structure, components, digital resources, and more.

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Walkthrough video

Before you explore the program, watch this  overview to get familiar with the program and ways to find resources for you and your students online.

Start your review

To complete your review digitally, click the orange button below to explore the digital Teacher’s Guide, using password readingpower. You’ll have access to two full units from every grade.

When you explore the digital Teacher’s Guide, a quick guided tour will familiarize you with navigation of the program and its features.

While you can access all of the print resources from the digital Teacher’s Guide, we’ve collected a few exemplars here from each grade level:

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Request more information

If you’d like to review the full program, request physical samples, or speak to a product expert for more information, fill out the form below and we’ll be in touch.

Middle-of-year pilot

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Celebrating the 2026 Science of Reading Star Awards finalists

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Every day, teachers and education leaders guide students toward a future lit up by literacy. It’s not always easy, especially for those championing shifts toward programs grounded in the Science of Reading.

That’s why we’re thrilled to celebrate the finalists of the 2026 Science of Reading Star Awards! These awards recognize educators, schools, and districts who go above and beyond to make evidence-based instruction a reality.

Empowering students through literacy

The Science of Reading Star Awards shine a beacon on the champions of literacy—the educators putting research into action.

Studies show that systematic phonics instruction leads to significantly higher achievement, particularly for students experiencing reading difficulties. Literacy instruction grounded in the Science of Reading strengthens critical thinking by building the vocabulary and background knowledge students need to make meaning from complex texts.

But shifting to this instruction is about more than swapping programs—it’s about leading change and inspiring others. With these awards, we celebrate the educators and districts whose innovative approach does just that.

Here are this year’s categories and finalists:

  • The District Captain: For the district that exemplifies strong Science of Reading practices across the board
    • Keppel Union School District, CA
    • Traverse City Area Public Schools, MI
    • DeSoto County School District, MS
    • Colton Joint Unified School District, CA
  • The Literacy Legend: For the school that’s seen significant reading gains among their students school-wide when using the Science of Reading
    • Albuquerque Collegiate Charter School, NM
    • Faircrest Memorial Elementary School, OH
    • Grantsburg Elementary School, WI
  • The Background Knowledge Builder: For showing the world that the Science of Reading empowers students with knowledge, context, and vocabulary from elementary through middle school
    • Sara Allen, Spring Hill Unified School District 230, KS
    • Joy Villahermosa, North Slope Borough School District, AL
    • Jesse Muehler, St. John-Emmanuel Lutheran School, IN
  • The Changemaker: For showcasing exemplary Science of Reading routines and practices, and serving as an inspiration to others on the journey
    • Olivia Eastwood, Dedham Public School District, MA
    • Amy Sell, Lower Dauphin School District, PA
    • Rob Murray, Romeo Community School District, MI
  • The Comprehension Champion: For fostering deep understanding and critical thinking by expertly guiding students to make meaning from complex texts, ask thoughtful questions, and connect reading to their world and experiences
    • Kiera Bridley, Webster School District, WI
    • Sandi Bourque, Ascension Parish School District, LA
    • Rebecca Zandbergen, Kamaile Academy Public Charter School, HI
  • The Data Dynamo: For expertly using data to drive instruction within a Multi-Tiered System of Supports framework, identifying student needs with precision, and implementing targeted interventions that accelerate literacy growth for every learner
    • ZaTaya Rivenbark, Charleston County School District, SC
    • Yaneth Acosta, Buncombe County School District, NC
    • Diana Van Osdell, Northwestern School Corporation, IN
    • Kelly Scheurich, Stratford Public Schools, CT
  • The Language Luminary: For outstanding success in developing the skills and strengths of multilingual/English learners
    • Melissa García, Passaic Public Schools, NJ
    • Maria Monsivais, Cicero School District 99, IL
    • Yessenia Viera, Carthage R9 School District, MO
    • Jennifer Gomez Vallejos, Buncombe County School District, NC
  • The Science of Reading Rookie: For a teacher in their first three years of teaching already making strides with the Science of Reading
    • Johanna Vargas, Grand Island Public Schools, NE
    • Christian Watkins, Cornerstone Prep Denver, TN
    • Marissa Riley, Urbana School District 116, IL
  • The Writing Whiz: For integrating writing instruction with the Science of Reading, cultivating articulate and confident writers through innovative and effective practices
    • Joandra Mendoza, Rome City School District, GA
    • Jennifer Csolkovits, Walton-Verona Independent School District, KY
    • Caitlyn Bacom Dominguez, Cambridge Public School District, MA
    • William Strunk, South Bend Community School Corporation, IN

Welcome, New York City Educators!

Welcome! This site contains supporting resources for the New York City Department of Education’s Amplify Science adoption for grades K–8.

What’s new?

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Assessment Videos for Leaders

See overview of the new Amplify NYC Benchmarks here.

Archived PD Supports

Professional learning recordings

  • Click here to access the professional learning recordings and materials.
  • Would you like to purchase school based professional learning? Contact Michael Kasloff and Carly Kriss at mkasloff@amplify.com and ckriss@amplify.com.

Archived professional learning resources

Responsive Classroom Resources

Amplify Science supports creating a responsive classroom environment. Click below to explore resources to help aid your responsive launch.

Amplify Desmos Math for NYC

Welcome! This site contains supporting resources for the New York City Department of Education Amplify Desmos Math adoption for grade 6–A1.

What’s new?

  • Prepare for 2025–26! Get everything you need to teach Amplify Demos Math with this checklist.
  • Use this guide to learn about the materials included through Core Curriculum purchases.
  • Need help? Check here for who can help! Our dedicated phone number, just for NYC, has team members ready to help! 1-888-960-0380
amplify math middle schoolers in classroom

About the program

Amplify Desmos Math New York is based on Illustrative Mathematics® IM K–12™ and expands on Desmos Math 6–8 (which received all-green ratings from EdReports) with beautiful print resources, and robust practice, differentiation supports, assessment and reporting. Read the review on EdReports.

Amplify Desmos Math provides:

  • Engaging, discourse-rich math lessons that are easier to teach.
  • Flexible, collaborative problem-solving experiences both online and off.
  • Real-time insights that make student thinking more transparent.

Program highlights to know about

Screenshot of a Desmos Classroom lesson page titled "Balloon Float," showing lesson objectives, standards, vocabulary, and navigation menu on the left.

Desmos Classroom digital lessons

Digital lessons should be powerful in their ability to surface student thinking and spark interesting and productive discussions. We’ve joined forces with Desmos Classroom to bring this vision to life with a complete library of interactive, collaborative lessons.

Screenshot of an educational interface showing a turtle race with lanes labeled 1 to 4, a play button, timer, and a table for writing equations for each lane.

Engaging student experience

Relevant content and interactive math tools create an intuitive and engaging student experience. Plus, working together in real time allows students to see that communicating their ideas and learning from each other are important parts of math class.

A digital activity interface showing hexagonal mosaics, a "Scale Factor = 3" label, and students' text responses about scaling and color patterns in the mosaic shapes.

Visibility into student thinking

Imagine having more visibility into your students’ mathematical thinking. Now imagine that students have access to this same information. With our collaborative lesson interface and teacher dashboard, students have awareness their own thinking and that of their peers—exposing them to a wider variety of approaches to solving the same problem.

A computer screen displays a math lesson about baking pizzas at 600°F, showing four uncooked pizzas and student response boxes below the question.

Ready-to-teach lessons

Each grade level includes 150 ready-to-teach lessons, complete with slides, step-by-step teaching notes, suggested student and teacher responses, tips for incorporating instructional routines, support for developing mathematical language, and links to useful resources. Teachers can manage what slides students see, controlling the pace of the lesson to suit the needs of the class.

Planning for instruction

Amplify Desmos Math is customized specifically to meet the New York State Next Generation Math Learning Standards. Within each document below, you’ll find direct links to lessons and activities where each individual standard is addressed.

The program is also aligned with the expectations outlined in the New York City Department of Education Definition of Culturally Responsive-Sustaining Education and the New York State Culturally Responsive-Sustaining Education Framework. Download the CR-SE alignment.

Amplify Desmos Math Scope and Sequence

Amplify Desmos Math Accelerated Scope and Sequence

Ready to plan for the 2025-26 school year? These pacing guides are designed to provide structure, not rigid mandates and resources for NYC.     

Screenshot of the Desmos Classroom interface showing the sidebar menu with "Featured Collections" highlighted and math course options displayed at the top.

Experience Amplify Desmos Math New York

Explore our digital program to review content from all grades, 6–A1. Watch our quick walkthrough video for helpful navigation tips.

Try out Amplify Desmos Math by following these steps.

A digital screen displays a rocket graphing activity, and an open textbook shows diagrams, charts, and text on building quadratics in factored form.

Lesson Sampler

Amplify Desmos Math delivers the instructional power of student-centered learning packaged in a lesson format that’s teacher-friendly and manageable.

With easy-to-follow instructional support, implementing a problem-based program becomes more effective and enjoyable for both you and your students. Paired with the Desmos Classroom digital experience, math class is suddenly fun and dynamic, with plenty of opportunities for students to talk through their reasoning, work with their peers, and gain new understanding.

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Grade 6 Lesson Sampler

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Three people stand next to a large thermometer in a snowy landscape with mountains and penguins; cover page reads "Grade 7 Sample lesson" for Amplify Desmos Math.

Grade 7 Lesson Sampler

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Grade 8 Lesson Sampler

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Additional features

Universal design

Every student is brilliant, and every student has brilliant mathematical ideas worth sharing and cultivating. Incorporating principles of Universal Design for Learning (UDL) into lessons brings students’ brilliance to the forefront. UDL is a research-based framework designed to ensure that all learners can access and participate in meaningful, challenging learning opportunities.

A feedback form with two questions, "How well did you understand the math in this lesson?" and "How did you feel about learning math in this lesson?" with corresponding emoji options for responses, perfectly complements the New York Math curriculum.

Diversity and representation

Helping students develop strong, healthy, and flexible math identities is a cornerstone of our program. Throughout the curriculum, students are taught that they themselves are mathematicians, that today’s math has been shaped by a diverse range of mathematicians who deserve to be celebrated, and that learning is never finished.

Illustration of a laptop displaying various colorful icons and graphics representing diverse professions and historical figures on its screen, emphasizing illustrative mathematics and desmos math concepts through its displayed content.

Assessments

Less exciting, but essential for learning: assessments. Amplify Desmos Math features a robust variety of formative and summative assessments, including readiness checks, exit tickets, quizzes, end-of-unit tests, and benchmarks aligned with New York State Next Generation Mathematics Learning Standards.

Illustration of a laptop displaying various colorful icons and graphics representing diverse professions and historical figures on its screen, emphasizing illustrative mathematics and desmos math concepts through its displayed content.

Reporting

Not only do our reports reveal progress toward standard mastery, but they also include details on how students performed against the standard in the past and how many encounters are yet to come. This feature alone helps teachers prioritize instruction and intervene with additional resources when necessary.

A computer screen displays a New York math skills tracking interface, highlighting standard 6.EE.C.9, with progress indicators and a class average score of 74% shown in a yellow pie chart.

NYC webinar series

Figuring out how to implement a problem-based learning approach to mathematics can be fun—and challenging. Rest assured that you won’t be alone on this journey; Amplify will be by your side every step of the way. Our back-to-school math webinar series for K–8 administrators and teachers:

  • Introduces the new NYC Solves initiative.
  • Establishes the foundation for all educators to effectively understand and implement the NYCPS Shifts in Mathematics in their classrooms.
  • Provides an overview of Amplify Desmos Math, the pre-approved NYCPS curriculum chosen to ensure that every school can successfully implement these math shifts and is supported with high-level, tailored professional development and coaching throughout the process.

Please see the specific webinars and the recordings below to learn more!

Two Amplify Desmos Math teacher edition books are shown next to a laptop displaying a digital math activity with shapes and a prompt about ordering by lightest weight.

On-demand webinar 1

Would you like to learn more about the NYCPS Shifts in Mathematics and enhance your understanding of each of the five shifts?

Explore how the NYCPS math shifts are transforming mathematics education from a procedural approach to a more engaging, discoverable, and connected learning experience.

Listen to the Understanding the NYCPS Shifts in Mathematics session recording.

On-demand webinar 2

Let’s unpack the why, what, and how to unlock every student’s mathematical mind and build math proficiency for life! In this webinar, we discuss the power of teaching our children to be skilled mathematicians through a structured approach to problem-solving.

Listen to the Unlocking Mathematical Minds: A Structured Approach to Problem-Based Learning session recording.

On-demand webinar 3

For some educators, transitioning to problem-based learning might seem daunting. There’s often concern that the open-ended nature of the approach could derail students from achieving mathematical goals. However, by finding the right balance between open-ended opportunities and structured classroom activities, teachers can encourage students to share their thinking while meeting key learning targets. Uncover simple shifts that educators can implement to foster the perfect balance of open-ended student thinking and focus on mathematical instructional goals.

Listen to the Making the Shift to Problem-Based Learning session recording.

On-demand webinar 4

Amplify Desmos Math New York K–A1 is math that motivates! During this session recording, you’ll experience a grade 6 lesson that captures the essence of NYC Solves.

Listen to the Learn More and Experience Amplify Desmos Math LIVE, an NYCPS-Approved Math Curriculum session recording.

Looking for help?

Support is always within reach. Our team is dedicated to supporting you throughout your review. You can be reached at any time by emailing or calling us directly.

  • Support pathways for NYC Core Orders
  • Chat: Click the orange icon while logged in to get immediate help.
  • Support Portal: Fill out this form, and we will get back to you as soon as possible.
  • Phone: Call our toll-free NYC Support number: (888) 960-0380.
  • Email: Send an email to AmplifyNYC@amplify.com.
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Amplify ELA: Florida Edition professional development

Amplify ELA is an engaging and rigorous curriculum designed specifically for grades 6–8. With Amplify ELA, students learn to tackle any complex text and make observations, grapple with interesting ideas, and find relevance for themselves.

We’ve created a wide suite of professional development offerings that will help you meet your unique needs this school year. Find out more below!

Professional Learning Partner Guide Certified Provider

Amplify CKLA, ELA, and Science professional development has been vetted by Rivet Education’s team through a rigorous three-step process and is listed in the Professional Learning Partner Guide.

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Plan your professional development

We’re excited to partner with you on your Amplify journey. Flexible professional development pathways have been designed to meet your needs.

Infographic showing three stages: Launch (rocket icon), Strengthen (person with cube), and Coach (people rowing), each representing phases of a teaching support program throughout the school year.

Recommended professional development plan

Our team has curated a recommended professional learning path from initial launch to continuous support. Use the Professional Development Planning Guide below to discuss the plan that best meets your school or district needs with your Account Executive.

Sessions overview

Recommended sessions are highlighted below

Title Duration Modality Available
Launch
Comprehensive initial training for teachers 2 days consecutive Onsite Yes
Initial training for teachers 1 day Onsite Yes
Initial training for teachers 2 half days Remote Yes
Program overview Half day Onsite/Remote Yes
Initial training for instructional leaders Half day Onsite/Remote Yes
Strengthen
Enhancing observations for leaders Half day Onsite/Remote 09/01/22
Enhancing planning and practice Half day Onsite/Remote Yes
Analytic reading Half day Onsite/Remote Yes
Supporting all learners Half day Onsite/Remote Yes
Data-informed instruction Half day Onsite/Remote Yes
Strengthen consultation session 1 hour Remote Yes
Strengthen consultation package 3 1-hour sessions Remote Yes
Coach
Coaching sessions 2 days consecutive Onsite Yes
Coaching sessions 1 day Onsite/Remote Yes
Half day Onsite/Remote Yes

Launch

Comprehensive initial training for teachers

2 days consecutive (6 hours per day, 12 hours total)

Prepare to implement and support Amplify ELA instruction in your schools! Learn how Amplify ELA supports students through rigorous and engaging ELA instruction. Participants will navigate the Amplify ELA platform, learn to give feedback on student work, and explore how to use Amplify ELA’s embedded supports and Reporting app to monitor student progress. Participants will engage in multiple opportunities to practice components of Amplify ELA and leave confident to begin teaching.

Audience: Teachers and coaches, maximum 30 participants
Modality: Onsite/Remote

Initial training for teachers

1 day (6 hours)

Prepare to implement and support Amplify ELA instruction in your schools! Learn how Amplify ELA supports students through rigorous and engaging ELA instruction. Participants will navigate the Amplify ELA platform, learn to give feedback on student work, and explore how to use Amplify ELA’s embedded supports and Reporting app to monitor student progress. Participants will leave with an action plan to begin teaching Amplify ELA.

Audience: Teachers and coaches, maximum 30 participants
Modality: Onsite

Initial training for teachers

Two half days (3 hours per day, 6 hours total)

This full-day initial training session (6 hours) is split into two half-day sessions (3 hours each). Part 1 and Part 2 may be scheduled consecutively on the same day or on different days, ideally within ~2 weeks. The same participants should attend both sessions in order to receive all content about key components of Amplify ELA, which includes learning how to navigate, teach, and monitor student progress.

Audience: Teachers and coaches, maximum 30 participants
Modality: Remote

Program essentials

Half day (3 hours)

Learn the program essentials including how to navigate the digital curriculum, print materials components and how to locate assessments, data reports and other features associated with the curriculum.

Audience: Teachers and coaches, maximum 30 participants.
Modality: Onsite/Remote

Initial training for instructional leaders

Half day (3 hours)

This training will provide district- and school-level instructional leaders with an overview of Amplify ELA so that they can support their staff in implementing Amplify. Learn basic navigation and gain an understanding of Amplify ELA’s approach to reading, writing, and language instruction. Participants will then have the opportunity to choose how to best support teachers by either developing a school-wide implementation plan or learning strategies for effective classroom observations.

Audience: Ideal for instructional leaders, principals, and district staff who oversee the implementation of the new curriculum, maximum 30 participants
Modality: Onsite/Remote

Strengthen

Enhancing observations for leaders

Half day (3 hours)

Elevate your program knowledge to support colleagues with effective ELA implementation! Practice analyzing ELA lessons and identify key instructional elements and next steps. Participants will be prepared to analyze data and enhance classroom observations.

Prerequisite training: Initial training for leaders

Audience: Ideal for instructional leaders, principals, and district staff who oversee the implementation of the new curriculum, maximum 30 participants
Modality: Onsite/Remote

Enhancing planning and practice

Half day (3 hours)

Dig into one unit to unpack standards, assessments, and student engagement. Through backward planning, this session guides teachers to think deeply about learning outcomes and key moments of formative assessments. Teachers will leave this session with a detailed plan of a unit of their choice that includes learning outcomes, key assessment moments, and aligned instructional strategies.

Audience: Ideal for new or experienced Amplify ELA teachers or coaches, maximum 30 participants
Modality: Onsite/Remote

Analytic reading

Half day (3 hours)

Participants will learn how close reading functions in Amplify ELA and which teacher moves support students as they tackle complex texts. Participants will learn how to facilitate a close reading session to support key reading routines, as well as promote academic discourse and the type of collaboration that drives analysis and deepens understanding.

Audience: Ideal for new or experienced Amplify ELA teachers, maximum 30 participants
Modality: Onsite/Remote

Supporting all learners

Half day (3 hours)

Participants will learn how to effectively use embedded and differentiated supports and the Classwork app to support all students, including English language learners (ELLs), students with learning disabilities, struggling readers and writers, and advanced students.

Audience: Ideal for new teachers or instructional leaders who want to learn more about included supports in Amplify ELA, maximum 30 participants
Modality: Onsite/Remote

Data-informed instruction

Half day (3 hours)

Participants will review their own student data using the Reporting and Classwork apps and align embedded supports to specific student needs. The goal of this session is to become proficient in turning Amplify ELA data into differentiated and targeted instruction.

Note: This course can be combined with the supporting all learners session to make a full day of training.

Prerequisite: 4–6 weeks of student data in Amplify’s Reporting app. It is recommended that teachers are in at least Unit B.

Audience: Ideal for teachers or support staff who want to learn how to use student data to inform instruction and provide differentiation, maximum 30 participants
Modality: Onsite/Remote

Strengthening consultation session

1 hour

This 60-minute session will focus on a specific topic that will deepen educators’ understanding of ELA and equip them with the tools needed to drive stronger student outcomes. An Amplify facilitator will align with the school or district leadership team in advance of the session on the topic (chosen from a menu of options) that will best meet educators’ unique needs. The menu includes sessions on engagement, pacing, and grading/assessment.

Audience: Teachers and coaches, maximum 30 participants
Modality: Remote

Strengthening consultation package

3 1-hour sessions

This package consists of three 60-minute sessions that can be delivered on the same day or on different days. Each session will focus on a specific topic that will deepen educators’ understanding in ELA and equip them with the tools needed to drive stronger student outcomes. An Amplify facilitator will align with the school or district leadership team in advance of the session on the topic (chosen from a menu of options) that will best meet educators’ unique needs. The menu includes sessions on: engagement, pacing and grading/assessment.

Audience: Teachers and coaches, maximum 30 participants
Modality: Remote

Coach

Coaching session

2 days consecutive (6 hours per day, 12 total)

Strengthen your implementation of Amplify ELA with an onsite Coaching visit for your teachers and/or leaders. Participants can choose from a variety of topics that include, but are not limited to: lesson modeling and debrief (conducted by an Amplify ELA coach), grade-level planning, classroom observations, and leadership consultation. The flexible onsite coaching design allows for a collaborative approach to support effective program implementation.

Audience: Teachers, coaches, and/or instructional leaders, maximum 30 participants
Modality: Onsite/Remote

Coaching session

1 day (6 hours)

Strengthen your implementation of Amplify ELA with an onsite Coaching visit for your teachers and/or leaders. Participants can choose from a variety of topics that include, but are not limited to: lesson modeling and debrief (conducted by an Amplify ELA coach), grade-level planning, classroom observations, and leadership consultation. The flexible onsite coaching design allows for a collaborative approach to support effective program implementation.

Audience: Teachers, coaches, and/or instructional leaders, maximum 30 participants
Modality: Onsite/Remote

Coaching session

Half day (3 hours)

Strengthen your implementation of Amplify ELA with a Coaching session for your teachers and/or leaders. Participants can choose from a variety of topics that include, but are not limited to: lesson modeling and debrief (conducted by an Amplify ELA coach), grade-level planning, classroom observations, and leadership consultation. The flexible coaching design allows for a collaborative approach to support effective program implementation.

Audience: Teachers, coaches, and/or instructional leaders, maximum 30 participants
Modality: Onsite/Remote

Pricing

We offer the following pricing for training sessions and packages:

Session type Pricing
2-day onsite session $4,800
1-day onsite session $3,200
1-day remote session (2 half days remote) $1,500
Half-day onsite session $2,500
Half-day remote session $750
1-hour remote session $350
3 1-hour remote sessions $1,000

Please note that the prices are general ranges and may be subject to change.

Contact

Amplify welcomes the opportunity to partner with schools and districts to design professional development plans and answer your questions.

If you would like to order any of our professional development services, please contact your local Amplify sales representative or call (800) 823-1969.

Welcome Reviewers, to Amplify Desmos Math!

Amplify Desmos Math 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 thoughtfully combines conceptual understanding, fluency, and application, motivating 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.

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.

Screening and progress monitoring

mCLASS® 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.

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 provide a structured approach to problem-based learning, helping teachers create a collaborative math community with students at its center. Each lesson systematically builds on students’ curiosity to develop lasting grade-level understandings for all students.

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.

Differentiation and intervention

Integrated resources like Mini-Lessons, Fluency Practice, and Math Adventures provide targeted intervention on a specific concept or skill connected to daily instruction. Extensions are also available to stretch students’ understanding.
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.

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.

An approach that supports teachers

Clear, step-by-step instructional moves help teachers plan and teach student-centered lessons that use student thinking to differentiate instruction and guide to grade-level understanding. They include:

  • Guidance on what to listen for and how to respond.
  • Clear learning objectives to keep learning on track for each activity and lesson.
  • Daily reinforcement activities to provide direct instruction when needed.

A structured approach to problem-based learning

Problem-based learning asks students to make sense of and think strategically about mathematically interesting problems. This approach allows students’ ideas to take
center stage, so they are active and engaged in their learning process. Teachers are able to hear and respond to student thinking in real time, guiding and differentiating instruction right in the moment.

Moving from “I do, We do, You do” to “You do, We do, I do”
Lessons begin by activating student’s prior knowledge and curiosity, inviting them to explore the math, collaborate, and refine their thinking. By focusing on developing student thinking first, teachers can better connect ideas, guide learning, and synthesize learning objectives.

Lessons that are rigorous and delightful

Every lesson in Amplify Desmos Math is designed to put students at the center of their learning. Utilizing research-based best practices, students engage in meaningful work based on rich problems and real-world experiences.

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Warm-Up

Lessons begin by inviting every student to contribute to the mathematical discussion. Instructional routines are often used to build fluency, set the context, activate prior knowledge, or highlight a strategy that may be helpful in the lesson. 

Rich learning activities

Math knowledge is built through experiences and meaningful interactions. Students notice, wonder, explore, calculate, predict, measure, explain their thinking, use math to settle disputes, create challenges for their classmates, and more. Teachers serve as a guide, using a Launch, Monitor, Connect framework:

  • Launch: Teachers offer a short introduction to the problem or challenge
  • Monitor: As students work individually, in pairs, or in groups, teachers ask questions and provide support to move student thinking closer to the intended math goal.
  • Connect: Teachers connect student ideas to the Key Takeaway of the activity to help students synthesize and solidify the big ideas.

Synthesis

Teachers ensure that students end the lesson with accurate and enduring understandings of the math goal through synthesis of student ideas, explicit instruction, and reflection.

A short Show What You Know assessment allows students to show what they know about the learning goals of the lesson and reveal what they are still learning.

Differentiation and practice

Lasting understanding requires reinforcement. Every lesson offers Lesson Practice instructional recommendations to Support, Strengthen, and Stretch learning.

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.

Print for every lesson with engaging digital experiences

Whether in print or digital form, engaging interactions enable students and teachers to openly exchange ideas. Each lesson includes student print materials, interactive teacher Presentation Screens, and digital resources for practice and differentiation. Some lessons also use manipulatives or provide options for students to use devices individually or in pairs. Device recommendations for student use are age-appropriate, with more frequent usage in middle and high school.

Demo access

Please login to the digital platform to experience our full program as part of your review. In order to access the digital platform, you’ll need to log into using your unique login credentials below.

  • Click the orange button below to access the platform.
  • Click “Log in with Amplify.”
  • Enter the username and password:
    • Username:
    • Password:
  • View the video for helpful platform navigation tips.

Assessments

By starting with what students already know, Amplify Desmos Math helps build a strong foundation for success to guide and support future learning. Teachers are empowered to transform every classroom into an engaged math community that invites, values, and develops student thinking. With explicit guidance on what to look for and how to respond, teachers can effectively support students as they develop their understanding.

Open math workbook showing an End-of-Unit Assessment with multiple-choice and written response questions on fractions and equivalent values.

Program assessments

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

Unit-Level Assessments

Our embedded unit assessments 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.

Lesson-Level Assessments

Amplify Desmos Math lessons are centered around sense-making and in-the-moment feedback. Daily moments of assessment provide valuable evidence of learning for both the teacher and student.

Data and reporting

Amplify Desmos Math 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.

A table displays students' performance levels across various items, with a detailed score distribution for a specific assessment shown in a separate overlay. Geometric design elements accented the background, providing an engaging visual touch ideal for any math classroom using Amplify Desmos Math.

Assessment reports

Reporting functionality integrates unit assessments, lesson assessments, personalized learning, Benchmark assessments, and Progress Monitoring for a comprehensive look at student learning.

Our reports show proficiency and growth by domain, cluster, standard, and priority concept using performance data from unit assessments. Then our reports highlight areas of potential student need to allow teachers to modify their instruction and target differentiated support.

At-a-glance views of unit-level assessment results inform your instructional planning, and you can also drill down to item-level analysis.

Standards reports

Our standards report allows you to monitor proficiency at the class and individual student levels. Proficiency and growth are shown by domain, cluster, standard, and priority concepts. Areas of potential student need are highlighted to allow teachers to modify their instruction and target differentiated support.

Administrator reports

Amplify Desmos Math provides a complete picture of student, class, and district performance, allowing administrators to implement instructional and intervention plans.

  • Track student, class, and district performance with usage, completion, and assessment data.
  • Accurately group students and classes with the Benchmark and Progress Monitoring data of mCLASS Assessments and allow teachers to reliably implement and track the progress of Tier 2 and Tier 3 intervention.
  • Provide one data-driven solution that educators can rely on for high-quality math instruction.

Differentiation and intervention

Amplify Desmos Math views differentiation as an ongoing process where teachers are both reactive and proactive to student needs, ensuring that all students have clear pathways to proficiency. Through rich data and teacher support, Amplify Desmos Math uses flexible categories of intervention and enrichment that adjust daily according to student thinking.

In-the-moment differentiation supports are available for every lesson, both digitally and in the print Teacher Edition.

A teacher sits at a table with two students, using small objects and a workbook to provide individualized instruction during a Boost Math lesson in a classroom with large windows.
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.

In-lesson differentiation

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.

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
Two pages from a math workbook on determining coordinates after a rotation, with diagrams, problem sets, and instructional text, displayed on a yellow and gray background.
A classroom teaching guide displays strategies for discussing pre-image and image in math, goals for a parallelogram lesson, and tips for supporting multilingual learners.

Multilingual/English Learner supports

Supports for multilingual/English learners (ML/ELs) are called out at intentiSupports for multilingual/English learners (ML/ELs) are called out at intentional points within each lesson. These suggested supports are specific, targeted actions that are beneficial for ML/ELs. They often describe a modification to increase access to the task or provide support with contextual or mathematical language development that can often be helpful to all learners. ML/EL supports may also be attached to Math Language Routines.onal points within each lesson. These suggested supports are specific, targeted actions that are beneficial for ML/ELs. They often describe a modification to increase access to the task or provide support with contextual or mathematical language development that can often be helpful to all learners. ML/EL supports may also be attached to Math Language Routines.

Math Language Development

Every lesson in Amplify Desmos Math includes opportunities for all students to develop mathematical language as they experience the content. Amplify Desmos Math 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.
  • 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.
Two girls sit at a table with open books, one making hand gestures while smiling, the other looking at her and giving a thumbs up. Behind them are shelves filled with books, capturing the lively atmosphere of a math classroom.
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.

K-5 sample materials

Click the links in the drop-down sections below to explore sample materials from each grade. For a full program review, please login to the digital platform or request physical samples.

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.

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

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 2: Counting and Comparing Images.

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

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 2: Counting and Comparing Images.

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.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

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.

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.

Skills Unit 2 Teacher Guide

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 1: Adding and Subtracting Within 10.

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

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 1: Adding and Subtracting Within 10.

Cover of "Amplify Desmos Math Centers Resources" for Grade 1, featuring a yellow and white 3D letter "C" on a light background.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

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.

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

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 1, Sub-Unit 1: Adding and Subtracting.

Cover of "Amplify Desmos Math Student Edition 2" showing three children performing a New York math activity with blocks and measurements.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 1: Adding and Subtracting.

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.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

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!

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

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 1, Sub-Unit 3: Data on Scaled Graphs.

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

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 3: Data on Scaled Graphs.

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.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

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.

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

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 1, Sub-Unit 2: Using Factors and Multiples.

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.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 2: Using Factors and Multiples.

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.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

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.

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

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 1, Sub-Unit 3: Volume of Solid Figures.

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

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 3: Volume of Solid Figures.

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.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

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.

6-A1 sample materials

Click the links in the drop-down sections below to explore sample materials from each grade. For a full program review, please login to the digital platform or request physical samples. 

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.

A laptop displays a math warm-up activity with shapes and a scale, in front of two Amplify Desmos Math teacher edition books for grades 1 and 7.
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

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 1: Solving Equations.

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

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 1: Solving Equations.

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.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Additional Practice, and Math Language Development Resources.

A digital math activity shows foxes on a seesaw balanced with 18-pound weights. A multiple-choice question and text box ask for the weight of a fox in pounds.

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`.

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

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 3: Inequalities.

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

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 3: Inequalities.

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.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Additional Practice, and Math Language Development Resources.

A digital math activity screen shows a character above a number line and a box with the inequality "x > -10" entered. A cursor points to the "Edit my response" button.

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.

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

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 2: Analyzing Numerical Data.

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

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 2: Analyzing Numerical Data.

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.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Additional Practice, and Math Language Development Resources.

A graph plots four robot colors by height and eye distance; on the right, matching colored robots stand side by side, labeled Red, Purple, Blue, and Green.

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.

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

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview 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.

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

Motivate students with mathematics that is both rigorous and delightful. To help you preview 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.

Cover of an Amplify Desmos Math Algebra 1 ancillary sampler, featuring students interacting with graphs and mathematical models, including a rocket and a parabola.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Additional Practice, and Math Language Development Resources.

A math activity screen shows a cartoon snail, purple blocks, and a table comparing blocks and a math equation; a cursor hovers over the "Edit my response" button.

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.

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.

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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!

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

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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. 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!

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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.

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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!

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A Step-by-Step Guide to a High-Quality Curriculum Adoption

Welcome


We created this guide to help leaders like you navigate the complex process of adopting a high-quality curriculum.

Leading a curriculum adoption process involves coordinating groups of people, comparing programs, and championing your decision to ensure your community is on board.

On this site, you’ll find our recommendations along with downloadable articles and templates to help you with your review and decision-making process. Don’t go it alone. Let us help.

Tell us a little about your adoption to access the guide.

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Contact information

All fields are required.

Open book with abstract shapes, arrows, and icons like a brain, rocket, and lightbulb emerging from its pages, symbolizing ideas and creativity.

Hi, educator. Here’s your Step-by-Step Guide to a Quality Curriculum Adoption.

Two people sit at a table; one types on a laptop while the other reviews a spiral-bound document. Both are smiling. Office setting with posters on walls visible in the background.

Welcome to the Step-by-Step Guide.

We talked to leaders like you and created this guide to help with the complex process of adopting a high-quality curriculum. You can explore our recommended steps and use the downloadable articles and templates to help with your decision-making process.

You can also download the entire short guide here: Word Doc | PDF

Flowchart with six numbered steps: 1) Plan your process. 2) Define the problem. 3) Build requirements. 4) Explore solutions. 5) Socialize the decision. 6) Prepare for implementation.

1. Plan your process.

Each step of the process, from assembling a team to preparing materials and socializing the decision, needs to be planned based on your district’s unique needs. 

Start with the following case studies if you’d like to see examples from small and mid-sized districts. The worksheets that come next should help you plan the steps in your process and schedule, and the articles provide some ideas for how to assemble your committee.

Links

Case studies:

Worksheets:

Articles:

  • Five things to consider as you assemble your team  Word Doc | PDF
  • Shaping the future: Participating on an adoption committee  Word Doc | PDF

2. Define the problem.

Defining the problem shapes your list of requirements and ensures that all involved parties are focused on selecting the right high-quality curriculum.

Links

Worksheet:

3. Build requirements.

Requirements help you prioritize what is most important to your school district and to evaluate why a high-quality curriculum adoption would be the best fit. 

Links 

Worksheet:

4. Explore programs.

Start with your critical focus areas from step 2 (defining the problem) and select a short list of programs to explore. Next, conduct a thorough review of those programs. If you’re a school or district that pilots, a pilot would happen during this step.

Links 

Worksheet:

Articles:

  • Getting ready for the review  Word Doc | PDF
  • Important questions to ask publishers upfront  Word Doc | PDF

5. Socialize and evangelize the decision.

You’ve done it! But your work isn’t over. Now you need to create clear, exciting messaging about the high-quality curriculum you’ve chosen and why it’s a good match for your teachers and students. 

Links

Article:

  • Designing your announcement campaign  Word Doc | PDF

Template:

6. Prepare for implementation.

A lot of things happen between signing a purchase order and the first day of professional learning. You’ll want to be organized as you coordinate people, places, and things to get ready for back to school. 

Links

Worksheet:

  • Thinking ahead: Preparing for implementation worksheet  Word Doc | PDF

Download the guide.

Download the entire guide here: Word Doc | PDF

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Finding a Path for Equitable Mathematical Student Discourse

Read the research findings

Profound things happen when one human being lets another know that their voice matters. For students, the more they feel their voice is heard, the greater their opportunity to learn.

These sentiments were the driving force for the project team that created the prototype for the 5 Practices Pathfinder, a teacher-facing app designed to support the implementation of the 5 Practices for Orchestrating Productive Mathematics Discussions (Smith & Stein, 2011).

Through a partnership between Amplify and the Bill & Melinda Gates Foundation, this project aimed to create a prototype for a digital tool to support teachers in operationalizing the pedagogical model of the 5 Practices.

Researchers and authors
Sean Nank, Ph.D.
Kathleen Sheehy, M.A.T.
Claire Chang, Ph.D.

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¡Bienvenidos a Amplify Caminos Lectoescritura!

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Caminos Skills Microsite

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Welcome to Amplify Science!

This site contains resources designed to support Clark County’s use of Amplify Science for grades K–8. Check back for exciting updates!

A woman holding a glass, overlaid with illustrations of a telescope, rocket, polar bear, and rain.

Program Introduction

Learn more about Amplify Science

Click the buttons below to explore the Amplify Science Program Guide. You can access the full digital Teacher’s Guide from the Program Guide to explore the program.

Clark County Training Sessions – Reference Materials

2021-2022 Session Materials

Unit 2: Standard Curriculum Relaunch / Guided Planning

New Teacher Training Part 1

2020-2021 Session Materials

New Teacher Orientation Part I

Returning and New Teacher Part II

Orientation Sessions

Remote Learning Session

Unit 2 Unpacking Session Materials

Unit 3 Unpacking the Unit Phenomenon

Unit 4 Unpacking Amplify Science for Hybrid Learning

2021-2022 Session Materials

Unit 2: Standard Curriculum Relaunch / Guided Planning

New Teacher Training Part 1

2020-2021 Session Materials

New Teacher Orientation Part I

Returning and New Teacher Part II

Orientation Sessions

Remote Learning Session

Unit 2 Unpacking Session Materials

Unit 3 Unpacking the Unit Phenomenon

Unit 4 Unpacking Amplify Science for Hybrid Learning

2021-2022 Session Materials

Unit 2: Standard Curriculum Relaunch / Guided Planning

New Teacher Training Part 1

2020-2021 Session Materials

New Teacher Orientation Part I

Returning and New Teacher Part II

Orientation Sessions

Remote Learning Session

Unit 2 Unpacking Session Materials

Unit 3 Unpacking the Unit Phenomenon

Unit 4 Unpacking Amplify Science for Hybrid Learning

2021-2022 Session Materials

Gr 8 Scope and Sequence 2021-22

2020-2021 Session Materials

Grade Level Orientation and Refresher

[Synchronous Session Agenda] LAUSD MS, Summer 21

Navigating Program Essentials

[Asynchronous Session Agenda] LAUSD MS, Summer 21

Remote Learning Session (6-8)

Grade 6

Gr 6 Scope and Sequence 2021-22

Grade 7

Gr 7 Scope and Sequence 2021-22

Grade 8

Gr 8 Scope and Sequence 2021-22

New! Lesson Prep Videos

Unit 1

Grade 3 Lesson Prep Videos can be found in the Resources section in the Amplify Science- Elementary group in Schoology. Access code: W4PK-W466-63F5B

Grade 4 Lesson Prep Videos can be found in the Resources section in the Amplify Science- Elementary group in Schoology. Access code: W4PK-W466-63F5B

Grade 5 Lesson Prep Videos can be found in the Resources section in the Amplify Science- Elementary group in Schoology. Access code: W4PK-W466-63F5B

Remote Learning Resources

We’ve created some guidance on resources you can send home with students and ways for you to adapt our K-5 or 6-8 curriculum for remote learning.

Learn more at Remote Learning Resources for Amplify Science

Onboarding: What to expect

Welcome to Amplify Science! To help you know what’s coming next, we created the following visual that outlines the steps of the onboarding process. You can use it as a reference.

Icons illustrating steps for teachers: attend workshop, log into guide, gather materials, ensure student access to tools, prepare lesson.

Onboarding videos

To start using Amplify Science 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 logging in and navigating the digital Teacher’s Guide.

Unpacking your first hands-on materials kit

The following videos give you a quick look into our Amplify Science classroom kits. For each grade level, we have a video for the first unit in the scope and sequence, and we show you how to unpack the kits for all the units.

A woman in a classroom setting demonstrates a large book with illustrations while sitting at a desk. She gestures towards the book, which is held open. An orange play button overlay is centered on the image.

Looking for help?

Powerful (and free!) pedagogical support

Amplify provides a unique kind of support you won’t find from other publishers. We have 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 7 a.m. to 7 p.m. ET, 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:

Welcome to Amplify Science!

This site contains supporting resources designed for the San Diego Unified School District Amplify Science adoption for grades 6–8.

Click the button below to preview the digital Teacher’s Guide, and check back for exciting updates to this site!

A woman in glasses examines a glass beaker, surrounded by illustrations including a satellite, rocket, bubbles, and clouds on an abstract background.

Program introduction

Onboarding: What to expect

Welcome to Amplify Science! To help you prepare for what’s coming next, we created the following visual that outlines the steps of the onboarding process. 

Icons representing educational preparation tasks: reviewing a checklist, attending a workshop, logging into a guide, exploring curriculum, and rechecking tools for grades 6-8.

Learn more about the program

Click the buttons below to explore the Amplify Science California Program Guide. You can access the full digital Teacher’s Guide from the Program Guide to explore the program.

Onboarding videos

To start using Amplify Science 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 logging in and navigating the digital Teacher’s Guide.

Unpacking your first hands-on materials kit

The following videos give you a quick look into our Amplify Science classroom kits. For each grade level, you’ll find a video of the first unit in the Scope and Sequence, and we’ll show you how to unpack kits for all units.

A woman presenting educational material, holding a large open book, in a classroom with a laptop and other teaching supplies.

NGSS Benchmark Assessments

Amplify’s Next Generation Science Standards (NGSS) Benchmark Assessments give you insight into how your students are progressing toward mastery of the three dimensions and performance expectations of the NGSS ahead of high-stakes end-of-year assessments. Developed by Amplify, the NGSS Benchmark Assessments are given three or four times per year, depending on the grade level, and are delivered after specific units in the recommended Amplify Science Scope and Sequence. Amplify’s NGSS Benchmark Assessments can be accessed through Illuminate.

Learn more

Looking for help?

Our chat agents are standing by to assist you!
Simply log in at learning.amplify.com and click the orange button in the bottom right corner to chat live with our support team.

Important to Note
Our support hours are Monday through Friday, 4 a.m. to 4 p.m. PT. Please check our status page if you are experiencing issues.

Don’t have a login yet?
Email us: help@amplify.com
Call us: +1 (800) 823-1969

A laptop screen displaying the AmplifyELA program with sections for different grade levels and core units, featuring colorful icons and a menu on the left side.

Monthly customer newsletters

Each month our newsletter features the information you need to know about upcoming events, tips for the classroom, educator spotlights, and more. If you missed something from a previous newsletter, you can access all previous newsletters through the following website, where you can view and search by program and also nominate a fellow educator—or yourself!—for a spotlight in a future newsletter.

Welcome to Amplify Science!

This site contains supporting resources designed for LAUSD Amplify Science for grades TK–8. Check back for exciting updates!

Sync Grades to Schoology – Amplify Classwork

Navigate to the Amplify Science Program Hub (video walk-through)

Share the The Caregiver Hub (Eng/Span)

ES Science Teachers

MS (6-8) Unpacking the Unit Videos

Upcoming Amplify Science PDs:

  • ES (K-5) – Refer to MyPLN: (Search Amplify 24)
  • MS (6-8) – Refer to MyPLN
  • Click here to go back to the LAUSD homepage.
A woman in glasses examining a glass of water, surrounded by illustrations of scientific icons like satellites, a rocket, a telescope, moons, and clouds on an abstract orange and black background.

Program Introduction

Learn more about Amplify Science

Click the buttons below to explore the Amplify Science California Program Guide. You can access the full digital Teacher’s Guide from the Program Guide to explore the program.

2024-2025 Session Materials

Supplemental Materials

Lesson Prep Videos

Unit 1

Grade 3 Lesson Prep Videos can be found in the Resources section in the Amplify Science- Elementary group in Schoology. Access code: W4PK-W466-63F5B

Grade 4 Lesson Prep Videos can be found in the Resources section in the Amplify Science- Elementary group in Schoology. Access code: W4PK-W466-63F5B

Grade 5 Lesson Prep Videos can be found in the Resources section in the Amplify Science- Elementary group in Schoology. Access code: W4PK-W466-63F5B

New Teachers – Start Here

To start using Amplify Science 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 logging in and navigating the digital Teacher’s Guide.

The following videos give you a quick look into our Amplify Science classroom kits. For each grade level, we have a video for the first unit in the scope and sequence, and we show you how to unpack the kits for all the units.

Looking for help?

Technical, program and pedagogical support

Our technical, program and pedagogical support is available from 7 a.m. to 7 p.m. ET, Monday through Friday.

For your most urgent questions (immediate help during the school day):

  • Use our live chat within your program
  • Call (800) 823-1969
  • Email help@amplify.com

We have 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:

ELD Review for Denver Public Schools

Welcome, Denver Public Schools, to Amplify CKLA’s English Language Development (ELD) program, Language Studio! Language Studio works in tandem with Amplify CKLA, your core ELA program, to help English language learners build proficiency in English while ensuring that every ELD lesson is connected to the core to extend students’ knowledge.

Below you will find information on Language Studio and additional information on Amplify CKLA in case it is a useful refresher. In the “Access demo” section, you will find digital access credentials and directions. We hope you find this information helpful in your review. Please don’t hesitate to reach out if you have any questions. Thank you!

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Language Studio

Amplify CKLA’s English Language Development (ELD) program—Language Studio— helps English language learners (ELLs) 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 ELLs, and Support and Challenge strategies for all learners. Click here for an overview of Language Studio and its components.

Supported by the latest ELD and WIDA Prime V2 standards, Language Studio follows the CKLA Knowledge domains, previewing and reinforcing skills and content from core instruction using instruction specifically built for students learning English. The program is also designed around frequent formative assessment, including assessment of language proficiency, giving you effective ways to guide and support your ELLs.

Young boy with his hands over his mouth, looking up in wonder, beside a diagram labeled "language studio" with educational elements.

Language Studio supports teachers and English language 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 ELLs 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.

To access Language Studio grade-level program guides, please click the links below:

Program Guide: Grade K

Program Guide: Grade 1

Program Guide: Grade 2

Program Guide: Grades 3-5

Recognized Quality

Amplify CKLA is one of only a few high-quality, knowledge-building literacy curricula recognized by the Knowledge Matters campaign. Our shared message: Background knowledge is essential to literacy and learning.

Diagram displaying the "knowledge matters campaign" with connections between "core knowledge language arts comprehension," "skills word recognition," and "amplify ckla skilled reading.

Independently and rigorously reviewed

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 literacy program that excels in building knowledge.

Intentional knowledge-building

Watching students learn to read: magic. Knowing how they get there: science. 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.

Program Overview

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.
  • Equitable and authentic Spanish language arts instruction with Amplify Caminos.

Amplify CKLA for Grades K–2

After watching the K–2 video below, scroll down to learn even more, download resources, and access a demo.

Amplify CKLA for Grades 3–5

After watching the 3–5 video below, scroll down to learn even more, download resources, and access a demo.

How it works

Amplify CKLA teaches both foundational skills and background knowledge in K–2 and combines them in 3–5, as required by the science of reading.

  • In grades K–2, students complete one full lesson that builds foundational reading skills, as well as one full lesson that builds background knowledge.
  • In grades 3–5, student complete one integrated lesson that combines skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis.
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Rich topics

Amplify CKLA builds knowledge coherently across subjects and grades.

Students make connections from year-to-year by exploring 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.

Illustration showing diverse cultural representations: two native american figures, a bear in a forest, and a medieval european woman, all set against colorful abstract backgrounds.

Diverse text

Amplify CKLA puts a variety of texts in the hands of students every day to build and strengthen background knowledge and vocabulary, listening and reading comprehension, and decoding and fluency skills.

More than that, we ensure the texts students read represent the world around them. With a diverse range of authors, topics, and characters, all students have ample access to both windows and mirrors. Our texts include:

  • authentic books.
  • authentic text passages.
  • student readers.
  • novel guides (grades 3–5).
A collage of six diverse children's book covers featuring themes of nature, science, history, and biographies.

Universal access

We believe we have a responsibility to provide literacy instruction that gives every student the same opportunity to succeed and excel.

We know that early reading affects achievement throughout school and beyond—well into college and career. Yet most literacy programs continue to fall short of supporting early literacy success. That’s why we’re so proud that CKLA is helping close the reading gap between students within diverse communities.

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Complete curriculum

A strong literacy program is not just about a reading program or an assessment tool: it brings together curriculum, instruction, regular practice, intervention, and assessments.

Amplify has brought these components together in our early literacy suite of curriculum, ensure that you have what you need for multi-tiered support.

Access demo

Ready to explore on your own? Follow the instructions below to access your demo account.

Explore Language Studio

Language Studio resources are on the CKLA site, making it easy for teachers to find and utilize them. Here are the directions to access them:

  • Click the CKLA Teacher Digital Site button
  • Select Log in with Amplify.
  • Enter this username: t1.dpseld@demo.tryamplify.net
  • Enter this password: Amplify1-dpseld
  • Once logged in, click CKLA on the left hand side
  • In the “Program” drop down at the top of the page, select “Language Studio Resources” at the bottom of the drop down
  • Choose your desired grade level

Contact Us

If you have any questions or need more information, please contact:

Senior Account Executive

719-964-4501

mlammers@amplify.com

Survey

We’re interested in learning more about you. Please fill out this survey!

Program overview

Boost Lectura is a high-quality, personalized Spanish literacy foundational skills program that complements Amplify Reading to build reading proficiency in both English and Spanish for grades K–2.

Student field study experience

Note: This is an early subset of the program experience. Some content may be appropriate for some students, but difficult for others. This is feedback we want to hear. The designs are also still in progress, with many aspects yet to be featured. Please email Aya Bukres with all suggestions!

Field study books and games

Below is a list of books and games (with associated skills) by grade level. Students will access these games and books through Quests.

Note: Books do not include voice-over at this time.

Kindergarten Books

¿Qué pasa con la gallina Tina?¿Qué puedes hacer con los 5 sentidos?¿Por qué croan las ranas?
Un festín de saboresUn ¡pop! en tiempoLos aluxes
El efecto mariposaLas estaciones del año

Kindergarten Games

Game NameBig IdeaSkill that will be practiced
Son sabrosónPhonological AwarenessRhyming
Alfa y betoPhonological AwarenessBlending
Jugando andoPhonological AwarenessSegmentation
Tragaletras exigentesPhonicsLetter-sound correspondences
Tragaletras gruñonesPhonicsLetter combinations
Tragaletras comelonesPhonicsReview of letter-sound correspondences and letter combinations
Investiga la escenaComprehension ProcessesGap-filling Inferences

Grade 1 Books

La leyenda de la colibríLa capibara: Un animal amigableMi ruidoso cuerpo
El zorro y el huaychaoDeseos al sol

Grade 1 Games

Game NameBig IdeaSkill that will be practiced
Alfa y betoPhonological AwarenessBlending
Jugando andoPhonological AwarenessSegmentation
Tragaletras exigentesPhonicsLetter-sound correspondences
Tragaletras gruñonesPhonicsLetter combinations
Tragaletras comelonesPhonicsReview of letter-sound correspondences and letter combinations
Silabalón: la copaPhonicsSyllable decoding
¿Aquí o alla?Phonics & Word RecognitionDecoding words with
y, g, and c
¿Esta o aquella?Phonics & Word RecognitionDecoding words with different graphemes to represent the same phoneme
¡Abra palabra!Phonics & Word RecognitionDecoding – syllable manipulation
Quita y ponPhonics & Word RecognitionDecoding – syllable manipulation
¡Conéctalo!Comprehension ProcessesUsing connectives
Investiga la escenaComprehension ProcessesGap-filling inferences

Grade 2 Books

La despedidaLa verdadera fortunaLa fascinante Ruta de la Seda
Bernardo de GálvezHormigas amigas

Grade 2 Games

Game NameBig IdeaSkill that will be practiced
¿Aquí o alla?Phonics & Word RecognitionDecoding words with y, g, and c
¿Esta o aquella?Phonics & Word RecognitionDecoding words with different graphemes to represent the same phoneme
¡Abra palabra!Phonics & Word RecognitionDecoding – syllable manipulation
Quita y ponPhonics & Word RecognitionDecoding – syllable manipulation
¡Conéctalo!Comprehension ProcessesUsing connectives
Investiga la escenaComprehension ProcessesGap-filling inferences

Consider using Boost Lectura during the following times:

  • Small group or center time
  • Choice time
  • During intervention blocks
  • After school
  • At home
  • Remote learning

Getting your students online

Amplify login page with options to log in using Google, Clever, Amplify, QR code, District SSO, or get help; a rocket illustration is on the left.

Instruct students to navigate to learning.amplify.com, and log in using the method you typically use when logging into Boost Reading.

A screen displays the question "Where are you headed?" with options "Reading" and "Lectura," and a purple "Go!" button at the bottom.

Find and click on the icon for Boost Lectura, as shown above.

At this time, students can begin playing games or reading books by clicking on “Iniciar.”

A large button labeled "INICIAR" is displayed in the center of a colorful, illustrated town map background.

Having students play games in Quests

Select a game from the list to play!

A woman smiles in a café with a blue creature beside her, a barista behind the counter, pastries on display, and three app icons with Spanish text on the right.

Students can play games in Quests by selecting the curioso icon.

A cartoon map shows various buildings, trees, and winding paths with a "Detour" sign and a blue character in the center marked by a location pin.

Students should hear quest narratives in Spanish.

The Automatic Placement Tool (APT)

The Automatic Placement Tool will be served when students first log in and choose the Lectura product. The Experience should take about 15–20 minutes total.

Students are greeted with a comical animation explaining we need their help with answering a few questions.

A concerned scientist stands in a control room surrounded by green goblin-like creatures, some using tools and wearing glasses, with a background of technological equipment.

Students are guided through a few short activities measuring different skills domains.

A digital quiz in Spanish asks, "¿Qué sílaba hace este sonido?" with a sound icon and three answer choices: "al," "en," and "ir.

Students receive closure to their experience via another short animation.

A scientist in a lab coat stands in a futuristic control room, surrounded by four small green creatures also wearing lab coats.

    Troubleshooting guide

    Please check to ensure “cookies” are accepted on your device.
    If you still receive an error message or blank screen when accessing an Amplify page, please email Aya Bukres.

    Please email Aya Bukres to confirm your login credentials.

    Desmos Math 6–A1 correlations with Carnegie Math Texas

    To view this protected page, enter the password below:



    Professional development for core programs

    Amplify professional development provides learning experiences that intentionally develop the knowledge and skills you need for effective and self-sustaining implementation.

    Learn and apply impactful instructional techniques and develop a deeper understanding of your Amplify program(s) by investing in professional development.

    Professional Learning Partner Guide Certified Provider

    Amplify professional development has been vetted by Rivet Education’s team through a rigorous three-step process and is listed in the Professional Learning Partner Guide.

    Two women smiling and looking at a laptop screen, sitting at a desk with a water bottle and notepad. decorative yellow and orange speech bubbles and shapes overlay the image.

    About Amplify core programs

    Amplify’s high-quality programs make it easier for you to teach inspiring, impactful lessons that celebrate and develop the brilliance of your students. By equipping teachers with resources and strategies to provide robust scaffolding and differentiated instruction, Amplify’s core programs ensure that all students can fully engage with rigorous subject matter.

    Literacy

    • Amplify ELAR K–5
    • Amplify SLAR K–5
    • Amplify ELAR 6–8

    STEM

    • Amplify Math
    • Desmos Math
    • Amplify Desmos Math (for Grades K–Algebra 1)*
    • Amplify Science

    We provide PD sessions for all Amplify programs. Contact your account executive to discuss the extended catalog of PD session options or request a quote.

    *Amplify Desmos Math is a new core PreK–12 program from Amplify and Desmos Classroom—available in English and Spanish—that applies a problem-based approach to get results by developing deep conceptual understanding, procedural fluency, and application. Contact us to learn more about the packages and sessions currently available.

    About Amplify Professional Development (PD)

    Change is more likely to stick and get results when you take a systemic approach. Partner with us to do just that by developing a learning plan that will drive your program implementation, enrich your instructional practices, and increase student impact. Begin and Practice packages are available for core programs.


    Prepare

    Begin

    Practice

    Advance
    Program-agnostic sessions will set up educators for success 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’s programs. Program-aligned packages will support those who have experience using Amplify’s programs. Offerings will support advanced implementation, build capacity for instructional leaders, certify in-house trainers to deliver Launch sessions, and more.

    At each phase of implementation, we offer a range of unique packages and offerings. Sessions are strategically bundled for multiple touch points throughout the year. A variety of high-quality sessions set educators up for success with Amplify programs—whether you’re years into using them or just starting out.

    Session types

    Select a package to uncover the benefits of a customizable Coach session.

    LAUNCH STRENGTHEN COACH
    Beginning of year Mid-year, end of year Mid-year, end of year
    Illustration of a rocket ship with a red tip, gray fins, and orange flames, featuring a person with red hair visible through a window.
    Illustration of a woman with red hair lifting a dumbbell, sweating and flexing her arm to show a muscle.
    Three people are in a rowboat; two are rowing while the third faces them, appearing to give instructions or shout.
    Propel your teachers into the new school year with sessions that introduce them to their Amplify program and support them in a strong implementation.
    Boost implementation with sessions that target specific instructional practices.
    Guide teachers and leaders with targeted learning tailored to their specific needs.
    Before teaching
    After 6+ weeks of teaching
     
    Select a package to reveal the components of a launch session. To explore the core strengthen sessions, select your program: Select a package to uncover the benefits of a customizable Coach session.

    Interactive sessions empower teachers and leaders implementing Amplify programs, giving them the tools and skills they need to inspire all students to think deeply, creatively, and for themselves.

    Explore enhancement options to see how you can further customize your package to build capacity in teachers and leaders and meet the needs of all learners within Amplify literacy, biliteracy, and/or STEM program(s).

    Begin packages

    You’re in your first year of implementation. You’re ready to start making the shift to evidence-based practices, using your Amplify program(s). You know that individual change is critical to organizational change. Let us support educators with professional development that develops new skills, knowledge, and a positive orientation to change.

    Explore the program-aligned package options below to learn more about the modality and duration of each Launch, Strengthen, and Coach session available to you during your first year of implementation.

    Select from flexible on-site, hybrid, or virtual packages, including:

    • Launch sessions to introduce Amplify programs and support strong implementation.
    • Strengthen sessions to deepen understanding of the program.
    • Coach sessions to elevate instructional practice and help meet teachers’ and schools’ specific needs.

    Each package supports up to 30 participants in similar grade bands.

    Overview: Begin packages for Amplify core programs

    Package title and duration On-site package (15 hours) Hybrid
    on-site package
    (15 hours)
    Hybrid 10 package (10 hours) Hybrid virtual package (15 hours) Virtual package   (7 hours)
    Launch
    One session per package
    On-site
    6 hr.
    On-site
    6 hr.
    On-site
    3 hr.
    Virtual
    6 hr.
    (2 half-days)
    Virtual
    3 hr.
    Strengthen
    One session per package
    On-site
    3 hr.
    Virtual
    3 hr.
    Virtual
    1 hr.
    Virtual
    3 hr.
    Virtual
    1 hr.
    Coach
    One session per package
    On-site
    6 hr.
    On-site
    6 hr.
    On-site
    6 hr.
    On-site
    6 hr.
    Virtual
    3 hr.
    Suggested enhancements
    Launch add-on On-site or virtual,
    3 hr. session
    Program overview for leaders

    On-site package

    Begin: On-site packages include program-aligned, on-site Launch, Strengthen, and Coach sessions. Providing 15 hours of professional development for up to 30 participants, this package will build understanding of research-based practices supported by Amplify program(s) and develop knowledge and skills through a variety of curated sessions.

    Begin: On-site package

    (15 hours for 30 participants)
        Select the session to learn more.
    Launch (1) On-site, 6-hr. session Initial training for teachers
    Strengthen (1) On-site, 3-hr. session Explore Core Literacy and Core STEM Strengthen sessions. Session titles scheduled upon request.
    Coach (1) On-site, 6-hr. session Coach session
    Suggested enhancements On-site or virtual,
    3-hr. session
    Program overview for leaders

    Launch

    Propel your school or district into the new school year. Program-aligned Launch sessions introduce teachers and leaders to their unique Amplify program(s) and support a strong implementation.

    Initial training for teachers

    On-site, 6 hours

    Initial training sessions are designed for educators who are new to our program. In our initial training session, educators are oriented to the key components of their program(s), including learning how to navigate, teach, and monitor student progress, while exploring content and program resources. Participants will leave the session with foundational knowledge and skills necessary to begin teaching with the program.

    Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

    Audience: Teachers, instructional staff (maximum 30 participants)

    Suggested enhancement: Program overview for leaders

    On-site or virtual, 3 hours

    The program overview for leaders session supports district and school-level instructional leaders in effectively coordinating the implementation of the program. Leaders will learn the foundational elements of the program, build an understanding of the key teacher and student practices to look for in classrooms, and develop an implementation plan.

    Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy; Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

    Audience: Leaders (maximum 30 participants)

    Strengthen

    Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

    To explore the core strengthen sessions, select your program:

    Amplify will partner closely with you to select the appropriate session(s) that will deepen educators’ understanding of Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

    Coach

    Elevate instructional practice and help meet teachers’ and schools’ specific needs with customizable Coach sessions.

    Coach session

    On-site, 6 hours

    Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

    Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify Math, Amplify Desmos Math, Amplify Science (Grades K–5 or 6–8)

    Audience: Individual teachers, grade-level teams, PLCs,
    and/or instructional leaders (maximum 30 participants)

    Hybrid 15 on-site package

    Begin: Hybrid 15 on-site packages include program-aligned, on-site Launch, Strengthen, and Coach sessions. Providing 15 hours of professional development for up to 30 participants, this package will build understanding of research-based practices supported by Amplify program(s) and develop knowledge and skills through a variety of curated sessions.

    Begin: Hybrid 15 on-site package

    (15 hours for 30 participants)
        Select the session to learn more.
    Launch (1) On-site, 6-hr. session Initial training for teachers
    Strengthen (1) Virtual, 3-hr. session Explore the Core Literacy and Core STEM Strengthen sessions. Session titles scheduled upon request.
    Coach (1) On-site, 6-hr. session Coach session
    Suggested enhancements On-site or virtual,
    3-hr. session
    Program overview for leaders

    Launch

    Propel yourself into the new school year. Program-aligned Launch sessions introduce teachers and leaders to their unique Amplify program(s) and support a strong implementation.

    Initial training for teachers

    On-site, 6 hours

    Initial training sessions are designed for educators who are new users. In our initial training session, educators are oriented to the key components of the program, including learning how to navigate, teach, and monitor student progress, while exploring content and program resources. Participants will leave the session with foundational knowledge and skills necessary to begin teaching with the program.

    Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

    Audience: Teachers, instructional staff (maximum 30 participants)

    Suggested enhancement: Program overview for leaders

    On-site or virtual, 3 hours

    The program overview for leaders session supports district and school-level instructional leaders in effectively supporting the implementation of the program. Leaders will learn the foundational elements of the program, build an understanding of the key teacher and student practices to look for in classrooms, and develop an implementation plan.

    Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy; Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

    Audience: Leaders (maximum 30 participants)

    Strengthen

    Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

    To explore the core strengthen sessions, select your program:

    Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of Amplify program(s) and equip them with the tools they need to improve student’s learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

    Coach

    Elevate instructional practice and help meet teachers’ and schools’ specific needs with customizable Coach sessions.

    Coach session

    On-site, 6 hours

    Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

    Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify Math, Amplify Desmos Math, Amplify Science

    Audience: Individual teachers, grade-level teams, PLCs,and/or instructional leaders (maximum 30 participants)

    Hybrid 10 package

    The Begin: Hybrid 10 package includes program-aligned, on-site and virtual Launch, Strengthen, and Coach sessions. Providing 10 hours of professional development for up to 30 participants, this package will build understanding of research-based practices supported by Amplify program(s) and develop knowledge and skills through a variety of curated sessions.

    Begin: Hybrid 10 package

    (10 hours for up to 30 participants)
        Select the session to learn more.
    Launch (1) On-site, 6-hr. session Program overview for teachers
    Strengthen (1) Virtual, 1-hr. session Explore Core Literacy and Core STEM Strengthen sessions. Session titles scheduled upon request.
    Coach (1) On-site, 6-hr. session Coach session
    Suggested enhancements On-site or virtual,
    3-hr. session
    Program overview for leaders

    Launch

    Propel your school or district into the new school year. Program-aligned Launch sessions introduce teachers and leaders to their unique Amplify program(s) and support a strong implementation.

    Program overview for teachers

    On-site, 3 hours

    Program overview sessions provide a basic introduction for educators who are new users of the program. In a program overview session, educators learn how to get started with the key features and materials of the program.

    Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

    Audience: Teachers, instructional staff (maximum 30 participants)

    Suggested enhancements: Program overview for leaders

    On-site or virtual, 3 hours

    The program overview for leaders session supports district and school-level instructional leaders in effectively supporting the implementation of the program. Leaders will learn the foundational elements of the program, build an understanding of the key teacher and student practices to look for in classrooms, and develop an implementation plan.

    Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy; Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

    Audience: Leaders (maximum 30 participants)

    Strengthen

    Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

    To explore the available core strengthen sessions, select your program:

    Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of your Amplify program(s) and equip them with the tools they need to improve student’s learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

    Coach

    Elevate instructional practice and help meet teachers’ and schools’ specific needs with customizable Coach sessions.

    Coach session

    On-site, 6 hours

    Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

    Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify Math, Amplify Desmos Math, Amplify Science (Grades K–5 or 6–8)

    Audience: Individual teachers, grade-level teams, PLCs,
    and/or instructional leaders (maximum 30 participants)

    Hybrid 15 virtual package

    Begin: Hybrid 15 virtual packages include program-aligned, on-site Launch, Strengthen, and Coach sessions. Providing 15 hours of professional development for up to 30 participants, this package will build understanding of research-based practices supported by Amplify program(s) and develop knowledge and skills through a variety of curated sessions.

    Begin: Hybrid 15 virtual package

    (15 hours for up to 30 participants)
        Select the session to learn more.
    Launch (1) Virtual, 6-hr. session
    (2 half-days)
    Initial training for teachers
    Strengthen (1) Virtual, 3-hr. session Explore Core Literacy and Core STEM Strengthen sessions. Session titles scheduled upon request.
    Coach (1) On-site, 6-hr. session Coach session
    Suggested enhancements On-site or virtual,
    3-hr. session
    Program overview for leaders

    Launch

    Propel your school or district into the new school year. Program-aligned Launch sessions introduce teachers and leaders to their unique Amplify program(s) and support a strong implementation.

    Initial training for teachers

    Virtual, 6 hours (2 half-days)

    Initial training sessions are designed for educators who are new to our program. In our initial training session, educators are oriented to the key components of their program(s), including learning how to navigate, teach, and monitor student progress, while exploring content and program resources. Participants will leave the session with foundational knowledge and skills necessary to begin teaching with the program.

    Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

    Audience: Teachers, instructional staff (maximum 30 participants)

    Suggested enhancement: Program overview for leaders

    On-site or virtual, 3 hours

    The program overview for leaders session supports district and school-level instructional leaders in effectively supporting the implementation of the program. Leaders will learn the foundational elements of the program, build an understanding of the key teacher and student practices to look for in classrooms, and develop an implementation plan.

    Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy; Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

    Audience: Leaders (maximum 30 participants)

    Strengthen

    Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

    To explore the available core strengthen sessions, select your program:

    Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

    Coach

    Elevate instructional practice and help meet teachers’ and schools’ specific needs with customizable Coach sessions.

    Coach session

    On-site, 6 hours

    Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

    Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

    Audience: Individual teachers, grade-level teams, PLCs, and/or instructional leaders (maximum 30 participants)

    Virtual package

    Begin: Virtual packages include program-aligned, on-site Launch, Strengthen, and Coach sessions. Providing seven hours of professional development for up to 30 participants, this package will build understanding of research-based practices supported by Amplify program(s) and develop knowledge and skills through a variety of curated sessions.

    Begin: Virtual package

    (7 hours for up to 30 participants)
        Select the session to learn more.
    Launch (1) Virtual, 3-hr. session Program overview for teachers
    Strengthen (1) Virtual, 1-hr. session Explore Core Literacy and Core STEM Strengthen sessions. Session titles scheduled upon request.
    Coach (1) Virtual, 3-hr. session Coach session
    Suggested enhancements
    Launch add-on
    On-site, 3-hr. session Program overview for leaders

    Launch

    Propel your school or district into the new school year. Program-aligned Launch sessions introduce teachers and leaders to their unique Amplify program(s) and support a strong implementation.

    Program overview for teachers

    Virtual, 3 hours

    Program overview sessions provide a basic introduction for educators who are new users of the program. In a program overview session, educators learn how to get started with the key features and materials of the program.

    Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

    Audience: Teachers, instructional staff (maximum 30 participants)

    Suggested enhancement: Program overview for leaders

    Virtual, 3 hours

    The program overview for leaders session supports district and school-level instructional leaders in effectively supporting the implementation of the program. Leaders will learn the foundational elements of the program, build an understanding of the key teacher and student practices to look for in classrooms, and develop an implementation plan.

    Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy; Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

    Audience: Leaders (maximum 30 participants)

    Strengthen

    Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

    To explore the available core strengthen sessions, select your program:

    Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of your Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

    Coach

    Elevate instructional practice and help meet teachers’ and schools’ specific needs with customizable Coach sessions.

    Coach session

    Virtual, 3 hours

    Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

    Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

    Audience: Individual teachers, grade-level teams, PLCs,
    and/or instructional leaders (maximum 30 participants)

    Practice packages

    You’re becoming familiar with Amplify programs and are ready to deepen your knowledge and implementation. Our team will facilitate learning that emphasizes deeper understanding of resources and instructional practices through learning experiences focused on continuous improvement, enhancing your understanding of your Amplify program(s), and customized coaching.

    Explore the program-aligned package options below to learn more about the modality and duration of each Strengthen and Coach session available to you at any time during your second year of implementation.

    Select from flexible on-site, hybrid, or virtual packages, including:

    • Strengthen sessions to deepen understanding of the program, expand practice, and drive student outcomes.
    • Coach sessions to elevate instructional practice and help meet teachers’ and schools’ specific needs.

    Each package supports up to 30 participants in similar grade bands.

    Overview: Practice packages for Amplify core programs

    Select the package title to view session descriptions

    Package title and duration On-site package
    (15 hours)
    Hybrid 15 package
    (15 hours)
    Hybrid 13 package
    (13 hours)
    Virtual package
    (9 hours)
    Strengthen*  One session per package On-site, 3-hr. Virtual, 3-hr. Virtual,1-hr. Virtual, 3-hr.

    Coach
    Two sessions per package    

    On-site, 6-hr. On-site, 6-hr. On-site, 6-hr. Virtual, 3-hr.

    *The topics of the Strengthen sessions will vary in Practice packages as determined by the needs of the school/district.

    Suggested enhancements
    Select the sessions to learn more.
    Launch add-on
    Virtual, 1-hr. session Amplify ELAR Grade 3 Skills supplement training for teachers

    On-site package

    Practice: On-site packages include program-aligned, on-site Strengthen and Coach sessions. Providing 15 hours of professional development for up to 30 participants, this package will build understanding of research-based practices supported by Amplify program(s) and develop knowledge and skills through a variety of curated sessions.

    Practice: On-site package

    (15 hours for up to 30 participants)
        Select the session to learn more.
    Strengthen (1) On-site, 3-hr. session Explore Core Literacy and Core STEM Strengthen sessions. Session titles scheduled upon request.
    Coach (2) On-site, 6-hr. session Practice: Coach session
    Suggested enhancements
    Select the sessions to learn more.
    Launch add-on
    Virtual, 1-hr. session Amplify ELAR Grade 3 Skills supplement training for teachers

    Strengthen

    Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

    To explore the available core strengthen sessions, select your program:

    Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of Amplify program(s) and equip them with the tools they need to improve student’s learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

    Coach

    Elevate instructional practice and help meet educators’ specific needs with customizable Coach sessions.

    Coach session

    On-site, 6 hours

    Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

    Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

    Audience: Individual teachers, grade-level teams, PLCs, and/or instructional leaders (maximum 30 participants)

    Suggested enhancement: Amplify ELAR Grade 3 Skills supplement for teachers

    Virtual, 1 hour

    Participants will get an overview of how to implement Amplify ELAR Grade 3 Skills in their classrooms! Learn the foundational elements of Amplify ELAR Grade 3 Skills, including becoming familiar with materials and key lesson components.

    Session options: Amplify ELAR

    Audience: Grade 3–5 teachers, instructional staff (maximum 30 participants)

    Hybrid 15 package

    Practice: Hybrid on-site packages include program-aligned, on-site and virtual Strengthen and Coach sessions. Providing 15 hours of professional development for up to 30 participants, this package will build understanding of research-based practices supported by Amplify program(s) and develop knowledge and skills through a variety of curated sessions.

    Practice: Hybrid 15 package

    (15 hours for 30 participants)
        Select the session to learn more.
    Strengthen (1) Virtual, 3-hr. session Explore Core Literacy and Core STEM Strengthen sessions. Session titles scheduled upon request.
    Coach (2) On-site, 6-hr. sessions Coach session
    Suggested enhancements
    Select the sessions to learn more.
    Launch add-on Virtual, 1-hr. session Amplify ELAR Grade 3 Skills supplement training for teachers

    Strengthen

    Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

    To explore the available core strengthen sessions, select your program:

    Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of your Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

    Coach

    Elevate instructional practice and help meet educators’ specific needs with customizable Coach sessions.

    Coach session

    On-site, 6 hours

    Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

    Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

    Audience: Individual teachers, grade-level teams, PLCs,
    and/or instructional leaders (maximum 30 participants)

    Suggested enhancement: Amplify ELAR Grade 3 Skills supplement for teachers

    Virtual, 1 hour

    Ideal add-on to Launch sessions
    Participants will get an overview of how to implement Amplify ELAR Grade 3 Skills in their classrooms! Learn the foundational elements of Amplify ELAR Grade 3 Skills, including becoming familiar with materials and key lesson components.

    Session options: Amplify ELAR

    Audience: Grade 3–5 teachers, instructional staff (maximum 30 participants)

    Hybrid 13 package

    Practice: Hybrid on-site packages include program-aligned, on-site and virtual Strengthen and Coach sessions. Providing 13 hours of professional development for up to 30 participants, this package will build understanding of research-based practices supported by Amplify program(s) and develop knowledge and skills through a variety of curated sessions.

    Practice: Hybrid 13 package

    (13 hours for 30 participants)
        Select the session to learn more.
    Strengthen (1) Virtual, 1-hr. session Explore Core Literacy and Core STEM Strengthen sessions. Session titles scheduled upon request.
    Coach (2) On-site, 6-hr. sessions Coach session
    Suggested enhancements
    Select the sessions to learn more.
    Launch add-on Virtual, 1-hr. session Amplify ELAR Grade 3 Skills supplement training for teachers

    Strengthen

    Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

    To explore the available core strengthen sessions, select your program:

    Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

    Coach

    Elevate instructional practice and help meet educators’ specific needs with customizable Coach sessions.

    Coach session

    On-site, 6 hours

    Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

    Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

    Audience: Individual teachers, grade-level teams, PLCs, and/or instructional leaders (maximum 30 participants)

    Suggested enhancement: Amplify ELAR Grade 3 Skills supplement for teachers

    Virtual, 1 hour

    Ideal add-on to Launch sessions
    Participants will get an overview of how to implement Amplify ELAR Grade 3 Skills in their classrooms! Learn the foundational elements of Amplify ELAR Grade 3 Skills, including becoming familiar with materials and key lesson components.

    Session options: Amplify ELAR

    Audience: Grade 3–5 teachers, instructional staff (maximum 30 participants)

    Virtual package

    Practice: Virtual packages include program-aligned, virtual Strengthen and Coach sessions. Providing nine hours of professional development for up to 30 participants, this package will build understanding of research-based practices supported by Amplify program(s) and develop knowledge and skills through a variety of curated sessions.

    Practice: Virtual package

    (9 hours for 30 participants)
        Select the session to learn more.
    Strengthen (1) Virtual, 3-hr. session Explore Core Literacy and Core STEM Strengthen sessions. Session titles scheduled upon request.
    Coach (2) Virtual, 3-hr. sessions Coach session
    Suggested enhancements
    Select the sessions to learn more.
    Launch add-on Virtual, 1-hr. session Amplify ELAR Grade 3 Skills supplement training for teachers

    Strengthen

    Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

    To explore the available core strengthen sessions, select your program:

    Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of your Amplify program(s) and equip them with the tools they need to improve student’s learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

    Coach

    Support teachers and leaders with learning experiences tailored to meet their specific needs.

    Coach session

    On-site, 6 hours

    Elevate instructional practice and help meet educators’ specific needs with customizable Coach sessions.

    Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify ELAR 6–8, Amplify Math, Desmos Math 6–A1, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

    Audience: Individual teachers, grade-level teams, PLCs,
    and/or instructional leaders (maximum 30 participants)

    Suggested enhancement: Amplify ELAR Grade 3 Skills supplement for teachers

    Virtual, 1 hour

    Ideal add-on to Launch sessions
    Participants will get an overview of how to implement Amplify ELAR Grade 3 Skills in their classrooms! Learn the foundational elements of Amplify ELAR Grade 3 Skills, including becoming familiar with materials and key lesson components.

    Session options: Amplify ELAR

    Audience: Grade 3–5 teachers, instructional staff (maximum 30 participants)

    Enhancement options

    Want to extend learning for teachers and leaders? Have a unique need that you’d like to address? Seeking more targeted coaching options? Our package enhancements allow you to tailor your PD experience to meet the needs of your staff, whether they’re new or returning to the program.

    Enhancements can be purchased for all teachers/leaders or a subset of educators.

    General enhancement offerings

    Add-on session name Leadership Launch session Leadership Strengthen session Launch
    (Practice) session
    Strengthen session
    Coach session
    Amplify ELAR Grade 3 Skills supplement for teachers session
    Session audience Leader Leader Teacher, Leader Teacher, Leader Teacher, Leader Teacher
    Session modality
    /duration
    On-site
    3-hr.
    On-site
    3-hr.
    On-site
    6-hr.
    On-site
    3-hr.
    On-site
    6-hr.
    Virtual
    1-hr.
    Virtual
    3-hr.
    Virtual
    3-hr.
    On-site
    3-hr.
    Virtual
    3-hr.
    Virtual
    3-hr.
    Virtual 6 hr.
    (2 half-days)
    Virtual
    1-hr.
    Virtual
    3-hr.

    Biliteracy packages

    Biliteracy packages for Amplify ELAR and Amplify SLAR

    Built on the Science of Reading, Amplify Texas English Language Arts and Reading (ELAR) sequences deep content knowledge with research-based foundational skills. Amplify ELAR is a K–5 literacy curriculum that inspires curiosity and drives results, empowering all students with rich background knowledge.

    Amplify SLAR serves as the perfect Spanish language arts partner to Amplify ELAR. These aligned programs combine deep content knowledge with systematic foundational skills instruction grounded in the Science of Reading. They adhere to biliteracy principles and support multiple teaching models.

    The table below lists Amplify ELAR and Amplify SLAR packages for first year implementation and beyond.

    Begin packages

      On-site
    package

    (15 hours)
    Hybrid on-site package
    (15 hours)
    Hybrid virtual package
    (15 hours)
    Virtual package
    (10 hours)
    Select the session title to view each description.
    Launch session
    Initial training for teachers
    On-site 6 hr. On-site 6 hr.  Virtual, 6 hr. (2 half-days) Virtual, 6 hr. (2 half-days)
    Strengthen session
    Session titles scheduled upon request.
    On-site 3 hr. Virtual 3 hr. Virtual 3 hr. Virtual 1 hr.
    Explore Core Literacy Strengthen sessions aligned with the duration and modality of your biliteracy package.
    Coach session On-site 6 hr. On-site 6 hr. On-site 6 hr. Virtual 3 hr.

    Practice packages

      On-site
    package

    (15 hours)
    Hybrid 15 package
    (15 hours)
    Hybrid 13 package
    (13 hours)
    Virtual package
    (9 hours)
    Strengthen session On-site 3 hr. Virtual 3 hr. Virtual 1 hr. Virtual 3 hr.
    Explore Core Literacy Strengthen sessions aligned with the duration and modality of your biliteracy package.
    Coach sessions (2) On-site 6 hr. On-site 6 hr. On-site 6 hr. Virtual 3 hr.

    Companion programs

    Additional sessions are available for Amplify ELAR’s companion programs (Writing Studio and Language Studio).

    To learn more about enhancing your Amplify experience by purchasing companion programs and/or accompanying PD sessions, please contact your account executive.

    Get in touch with a PD expert

    We’re here to provide answers and guidance as you explore your PD journey. Fill out the form to connect with us and discover how Amplify PD can enhance your educational journey.

    Welcome, Amplify ELA families!

    We’re excited to welcome you and your student to the Amplify ELA program for the new school year, and to provide you with exceptional learning opportunities through ELA. We’ve assembled the following resources and guides to help you support your student and enable them to have the most productive experience with our platform throughout the year.

    Para la versión en español, haga clic aquí.

    Illustrated collage with people playing sports, riding bikes, and a thoughtful person’s portrait, framed by natural elements and a rocket launching, next to an "EdReports Review Year 2020" badge.

    What is Amplify ELA?

    Amplify ELA helps students in grades 6–8 read and understand complex texts that encourage them to grapple with interesting ideas and find relevance for themselves. Amplify ELA is a blended program that includes both digital and print materials, but can also be used as a print-only version. Students using Amplify ELA read text passages closely, interpret what they find, discuss their thinking with peers, and develop their ideas in writing. The lesson structure is easy to follow, but flexible enough to allow for a variety of learning experiences and varied enough to keep students engaged. 

    Features include:

    • Functionality that allows individual students to work at their own level while also being challenged appropriately.
    • Built-in tools that allow teachers to track and respond to student work.
    • The digital Amplify Library, which contains more than 700 downloadable, full-length fiction and nonfiction books.
    • The Vocab App, which uses game-like activities to help students master keywords from the program’s texts. (Students using print materials will see keywords highlighted.)
    • Independent writing assignments called Solos, available on mobile devices.
    • Interactive projects called Quests that accompany certain units to provide additional practice with analytical reading, writing, speaking, and listening skills.

    Getting started

    How you can support the child in your care:

    • If possible, read with your student daily; even 15 minutes of reading together each day can make a huge impact. You can read aloud sections of the text together—many middle grade students enjoy performing sections of dialogue by taking on the role of a character in a play, or adding some dramatic flair to a poem with which they are working. If your student struggles with reading aloud, you might try reading the text to them with expression, then having them read it back to you. For additional practice, there are an array of fluency activities in the program’s Flex Days. Ask your student to help you find these activities.
    • Find moments to discuss what they are reading and discovering. Examples of questions you could ask: What stood out to you from what you read today? Were any sentences or words confusing? What was most surprising? What do you think the writer was trying to communicate? Do you agree with the writer’s ideas or descriptions? What connections can you make between what you are reading and your own life, or other issues you’ve heard about?
    • Listen to your student read their written responses or have them share with a friend over the phone or video chat. 
    • Browse the Amplify Library with your student to find books they’ll enjoy and be able to read fluently and independently.
    • Review this Protecting Kids Online website by the Federal Trade Commission addressing digital safety.

    Accessing texts in the Amplify Library

    We encourage students to utilize the core texts from the Amplify Library while at home! Please follow these steps to download a text for offline reading:

    1. Navigate to the Program & Apps menu at the top of your screen and scroll through to find the Amplify Library icon. When you select it, the Amplify Library will open in a new tab.

    A digital menu displays various educational tools and resources, with "Amplify ELA" highlighted at the top and the "Library" option outlined in orange.

    2. If prompted, follow the directions to set up a pin for the Amplify Library; otherwise, proceed to the next step.

    A pop-up window prompts the user to create a four-character PIN of lowercase letters and/or numbers for offline reading, with Cancel and Submit buttons.

    3. In the upper right corner of your screen, search for the book you would like to download. Example: The Secret of the Yellow Death: A True Story of Medical Sleuthing.

    A digital library search page displays "yellow death" in the search bar with no results found for title, authors, or genre. Book covers are visible in the left sidebar.

    4. Select the Download button.

    A digital library interface displays the book "The Secret of the Yellow Death" by Suzanne Jurmain, showing its cover, synopsis, and options to read or download.

    5.  If you lose connection while still in the Amplify Library, you can continue to access and read the downloaded book(s). If the page refreshes without internet access, or you try to login on another device without internet access, you will lose access to the downloaded book(s) until the internet connection is restored. 

    To retrieve your downloaded texts: 

    1.  In the Amplify Library app, open the My Library drop-down menu in the upper left corner.
    2. Select Downloaded. 
    3. Choose the text you wish to read from all of your pre-downloaded texts.
    A dropdown menu under "My Library" shows options: Recently Read, Favorites, Downloaded (highlighted), and All Books. Below, a Recently Read section displays three book covers.

    Materials overview

    Not every school will operate the same way, but students attending schools that have both the print and digital editions of the program will likely have the following print materials at home:

    • Student Edition: This includes all of the readings and activities necessary for instruction throughout the year. Students can read the selections both digitally and in print, annotating in either format. The lessons in the print Student Edition reflect each digital lesson, but have been modified to work effectively in print. 
    • Writing Journals: This provides space for students to respond to Writing Prompts and complete other written assignments. 

    In the case that students are without access to devices or the internet, they can continue to complete key reading and writing assignments using the print Student Editions and student Writing Journals.

    Teachers can also access, print, and mail student Novel Guides for up to 12 commonly taught novels. Six of these novels are available in the Amplify Library, and most should be available in a public library.

    Unit overviews

    Below are quick overviews of each unit your student will be working through in their grade throughout the year. Included along with each unit is a downloadable guide that provides a more in-depth look at what content is covered and how you can help your student advance their understanding of the topics.

    • Unit 6A: Dahl & Narrative  
      • Students begin with narrative writing to quickly boost their writing production, learn the foundational skill of focus, and become comfortable with key classroom habits and routines they will use all year. Students then apply their new observational focus to some lively readings from Roald Dahl’s memoir Boy and learn how to work closely with textual evidence.
    • Unit 6B: Mysteries & Investigations
      • Students read like an investigator to embark on a multi-genre study of the mesmerizing world of scientific and investigative sleuthing. At the end of the unit, students write an essay explaining which trait is most useful to problem-solving investigators.
    • Unit 6C: The Chocolate Collection
      • The Aztecs used it as currency. Robert Falcon Scott took it to the Antarctic. The Nazis made it into a bomb designed to kill Churchill. The 3,700-year-long history of chocolate is full of twists and turns, making it a rich and rewarding research topic. In this unit, students explore primary source documents and conduct independent research to better understand the strange and wonderful range of roles that chocolate has played for centuries around the world.
    • Unit 6D: The Greeks
      • Greek myths help us understand not only ancient Greek culture but also the world around us and our role in it. Drawing on the routines and skills established in previous units, these lessons ask students to move from considering the state of a single person—themselves or a character—to contemplating broader questions concerning the role people play in the world and the communities they inhabit within it.
    • Unit 6E: Summer of Mariposas
      • The borderlands between the United States and Mexico are the place of legends, both true and fictional. Summer of the Mariposas, by Guadalupe Garcia McCall, plants a retelling of the Odyssey into this setting, launching five sisters on an adventure into a world of heroes and evildoers derived from Aztec myths and Latinx legends. On the journey, the sisters reconcile the dissolution of their parent’s marriage and find new strength in their identity and connection to Aztec lineage. Students consider how McCall uses the structure of the hero’s journey to celebrate women, heritage, and a broad definition of family. Students also have the opportunity to compare these characters’ fictional journey into Mexico to a description of one boy’s true journey into the United States.
    • Unit 6F: The Titanic Collection 
      • In this research unit, students learn to tell the difference between primary, secondary, and tertiary sources; determine if a given source is reliable; and understand the ethical uses of information. Students then construct their own research questions and explore the internet for answers. They also take on the role of a passenger from the Titanic’s manifest to consider gender and class issues as they research and write narrative accounts from the point of view of their passenger.  
    • Unit 6G: Beginning Story Writing
      • In this unit, students get to practice their creative writing skills and learn the elements of storytelling and character development, as well as the importance of vivid language. Students gain a sense of ownership over their writing as they experiment with the impact of their authorial choices on sentences, language, character traits, and plot twists.
    • Grade 6: Grammar
      • In this unit, students complete self-guided grammar instruction and practice that teachers assign to them throughout the year. Sub-units are organized by key grammar topics, so teachers can assign the content that best meets their student’s needs while making sure students work with the key grammar topics for their grades.
    • Unit 7A: Red Scarf Girl & Narrative
      • In this study of a highly engaging memoir of a young woman growing up in China during the Cultural Revolution, students quickly learn the history and politics of this tumultuous period by focusing on the story of someone living through the upheaval. As students follow her journey through a world turned upside down, they will track the changes in her feelings and motivations over time.
    • Unit 7B: Character & Conflict
      • By reading the play A Raisin in the Sun and the short story “Sucker,” students explore how people facing hardships can inflict unintentional harm on the people around them. The two narratives work together to provide opportunities for students to analyze characters’ responses to conflict and the author’s development of ideas over the course of a piece of fiction.
    • Unit 7C: Brain Science
      • Could you survive an iron rod through your skull? Phineas Gage did, and his gruesome-but-true story allows students to build background information and analyze other informational texts, including the contemporary The Man Who Mistook His Wife For A Hat and the relevant Demystifying the Adolescent Brain.
    • Unit 7D: Poetry & Poe
      • Poe’s texts always offer so much to notice, decipher, talk about—and creep us out. Since things are not always what they seem, students must use close reading skills to question whether they should believe what Poe’s narrator is telling them … or not.
    • Unit 7E: The Frida & Diego Collection
      • Mexico’s most famous and provocative artists, Diego Rivera and Frida Kahlo, were an extraordinary couple who lived in extraordinary times. They were both soul mates and complete opposites. Their multifaceted lives and work offer students rich and fascinating subjects to study as they examine primary source documents and conduct independent research.
    • Unit 7F: The Gold Rush Collection
      • In this research unit, students choose from a large collection of primary and secondary sources to learn about the wide range of people who took part in the California Gold Rush. They also take on the role of someone who lived during the gold rush and write journal entries from their perspective.
    • Unit 7G: Intermediate Story Writing
      • In this unit, students get to practice their creative writing skills and learn the elements of storytelling and character development, as well as the importance of vivid language. Students gain a sense of ownership over their writing as they experiment with the impact of their authorial choices on sentences, language, character traits, and plot twists.
    • Grade 7: Grammar
      • In this unit, students complete self-guided grammar instruction and practice that teachers assign to them throughout the year. Sub-units are organized by key grammar topics, so teachers can assign the content that best meets their student’s needs while making sure students work with the key grammar topics for their grades.
    • Unit 8A: Perspectives & Narrative
      • This unit aims to teach students to read like writersThey practice paying attention to the craft of writing and to the moves a good writer makes to shape the way we see a scene or feel about a character—to stir us up, surprise us, or leave us wondering what will happen next. Students closely read examples of rich, layered narrative nonfiction, analyze the techniques each author uses to make their writing resonate, and practice applying these techniques to their own narrative writing.
    • Unit 8B: Liberty & Equality
      • In this unit, students look at the words of a range of creators—from poet Walt Whitman to abolitionist Frederick Douglass to President Abraham Lincoln—to see how their writing contributed to an extreme shift in social organization: a whole new concept of what it means for people to be considered “equal.” They also study multiple perspectives on the Civil War, including the memoir of a girl who was enslaved, a confederate girl’s diary, and a nonfiction account of the young boys who served as soldiers during the war. 
    • Unit 8C: Science & Science Fiction
      • Students read Gris Grimly’s Frankenstein, a graphic novel that adds captivating illustrations to an abridgment of the 1818 edition of Mary Shelley’s book. Paired with Shelley’s text, Grimly’s haunting—and, at times, horrific—representations of Frankenstein’s creature push students to wrestle with some of the text’s central themes: the source of humanity and the root of evil. Students then write an essay in which, after arguing both sides of the question, they determine whether or not Frankenstein’s creature should ultimately be considered human.
    • Unit 8D: Shakespeare’s Romeo & Juliet
      • Romeo and Juliet combines romance with action, offering a wide range of themes and scenes for students to read about and act out. Your middle schoolers are at the right age to identify with the lovers’ strong feelings—and also old enough to think critically about the choices Romeo and Juliet make.
    • Unit 8E: Holocaust: Memory & Meaning
      • This unit uses a range of primary source articles, images, and videos, as well as literary nonfiction and graphic nonfiction, to study what made the atrocities of the Holocaust possible. Students investigate how propaganda was generated and employed to create a political environment that ultimately corrupted a society. The Olympics are seen through the lens of an international propaganda campaign, providing cover for Nazis to begin eliminating non-Aryans from their culture. The final sub-unit examines the outcomes of Nazi doctrine and the impact on Jewish victims and survivors.
    • Unit 8F: The Space Race Collection
      • In this unit, students to put their research and close-reading skills to the test to distinguish between reliable  and unreliable sources, explore primary documents, and conduct independent research to better understand the space race that took place between two of the world’s superpowers. This dramatic story offers students a rich research topic to explore as they build information literacy skills, learn how to construct their own research questions, and explore the internet for answers.
    • Grade 8: Grammar
      • In this unit, students complete self-guided grammar instruction and practice that teachers assign to them throughout the year. Sub-units are organized by key grammar topics, so teachers can assign the content that best meets their student’s needs while making sure students work with the key grammar topics for their grades.
    • Unit 8G: Advanced Story Writing
      • In this unit, students get to practice their creative writing skills. They’ll learn the elements of storytelling and character development, and the power of vivid language to grab readers and pull them into a story.

    Additional activities

    Quests: 

    You may notice your student working with peers on the same interactive project over several days, trying to solve a mystery or explain a historical event. That’s what happens when a teacher assigns a Quest: an in-depth week-long exploration that requires collaboration and deepens engagement with texts and topics.

    Vocab App:

    The Vocab App helps students master vocabulary words through game-like activities that challenge them to think through morphology, analogy, and synonyms/antonyms, and to decipher meaning through context.

    Have a question about Amplify ELA?

    Visit our help library to search for articles with answers to your program questions. 

    For additional curriculum support, please contact your student’s teacher.

    Amplify Science professional development

    Amplify Science blends hands-on investigations, literacy-rich activities, and interactive digital tools to empower students to think, read, write, and argue like real scientists and engineers. We’ve created a wide suite of professional development offerings that will help you meet your unique needs this school year. Find out more below!

    Professional Learning Partner Guide Certified Provider

    Amplify CKLA, ELA, and Science professional development has been vetted by Rivet Education’s team through a rigorous three-step process and is listed in the Professional Learning Partner Guide.

    Three women sitting at a table using a tablet to discuss stimulus funding for schools in a professional meeting.

    Plan your professional development

    We’re excited to partner with you on your Amplify journey. Flexible professional development pathways have been designed to meet your needs.

    Illustration of three educational phases: a teacher launches a rocket, another reads a book, and four individuals discuss in a meeting setting.

    Recommended Professional Development Plan

    Our team has curated a recommended professional learning path from initial launch to continuous support. Use the Professional Development Planning Guide below to discuss the plan that best meets your school or district needs with your Account Executive.

    Sessions overview

    AudienceTitleDurationModalityAvailable
    Foundations
    K–5 instructional leadersAdministrators’ program overviewHalf dayOnsite/Remote6/2022
    Administrators’ program overview for interactive classroomHalf dayOnsite/Remote6/2022
    K–5 teachersInitial training1 day onsite
    or 2 half days
    remote
    Onsite/RemoteYes*
    Program overviewHalf dayOnsite/RemoteYes
    Initial training for Interactive Classroom1 day onsite
    or 2 half days
    remote
    Onsite/Remote6/2022
    Program overview for Interactive ClassroomHalf dayOnsite/RemoteYes
    6–8 instructional leadersAdministrators’ program overviewHalf dayOnsite/RemoteYes
    6–8 teachersInitial training1 day onsite
    or 2 half days
    remote
    Onsite/Remote6/2022
    Program overviewHalf dayOnsite/RemoteYes
    Strengthening
    K–5 instructional leadersStrengthening consultation session60 min.Remote6/2022
    Strengthening consultation package3 1-hour sessionsRemote6/2022
    K–5 teachersGuided unit internalizationHalf dayOnsite/RemoteYes
    Strengthening consultation session60 min.Remote6/2022
    Strengthening consultation package3 1-hour sessionsRemote6/2022
    6–8 instructional leadersStrengthening consultation session60 min.Remote6/2022
    Strengthening consultation package3 1-hour sessionsRemote6/2022
    6–8 teachersGuided unit internalizationHalf dayOnsite/RemoteYes
    Strengthening consultation session60 min.Remote 6/2022
    Strengthening consultation package3 1-hour sessionsRemote 6/2022
    Coaching
    K–5 instructional leadersJob-Embedded Coaching (JEC)1 dayOnsiteYes
    K–5 teachersJob-Embedded Coaching (JEC)1 dayOnsite/RemoteYes
    6–8 instructional leadersJob-Embedded Coaching (JEC)1 dayOnsiteYes
    6–8 teachersJob-Embedded Coaching (JEC)1 dayOnsite/RemoteYes

    Note for all workshops:  Any single three-hour offering can be repeated on the same day with different audiences to make one full-day session.

    *When delivered remotely, this full-day initial training session (6 hours) is split into two half-day sessions (3 hours each). Part 1 and Part 2 may be scheduled consecutively on the same day or on different days, ideally within ~2 weeks. The same participants should attend both sessions in order to receive all content. This flexible scheduling opportunity for remote sessions will be available starting 6/2022.

    Launch sessions

    For teachers

    Initial training

    1 day onsite (6 hours) or 2 half days remote (6 hours)*
    Grade band: K–5 / 6–8
    Grade level: K, 1, 2, 3, 4, 5, 6, 7, 8

    In the first half of this session, participants learn the essentials necessary to implement Amplify Science with success. They learn to navigate the digital Amplify Science platform and become familiar with planning resources and strategies. Through a model lesson and guided reflection, participants build an understanding of the instructional approach to teaching and learning. In the second half of this session, participants dig deeper into unit resources to start planning for instruction for their first grade-level unit.

    When delivered as a grade band session, Part 1 will feature an exemplar from the following units:

    • K–5 workshops feature an exemplar from the grade 4 unit Energy Conversions.
    • 6–8 workshops feature an exemplar from the Metabolism Core unit.

    When delivered as a grade level session, Part 1 features the following units:

    • K: Needs of Plants and Animals
    • 1: Animal and Plant Defenses
    • 2: Plant and Animal Relationships
    • 3: Balancing Forces
    • 4: Energy Conversions
    • 5: Patterns of Earth and Sky

    6–8 workshops feature one of the following units:

    • Metabolism
    • Ocean, Atmosphere, and Climate
    • Phase Change

    Available starting 6/2022.

    Audience:
     Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    *When delivered remotely, this full-day initial training session (6 hours) is split into two half-day sessions (3 hours each). Part 1 and Part 2 may be scheduled consecutively on the same day or on different days, ideally within two weeks. The same participants should attend both sessions in order to receive all content. This flexible scheduling opportunity for remote sessions will be available starting 6/2022.

    Initial training for Interactive Classroom

    1 day onsite (6 hours) or 2 half days remote (6 hours)*
    Grade band: K–5
    Grade level: K, 1, 2, 3, 4, 5, 6, 7, 8

    In the first half of this session, participants learn to navigate with Amplify Science Interactive Classroom and prepare to start teaching. The session opens with a model lesson that introduces the functionality of the Interactive Classroom interface and highlights the Amplify Science instructional approach. Next, participants experience a guided navigation walkthrough that prepares them to use the full suite of Interactive Classroom features with their students. The session closes with time to reflect on implementation and a walkthrough of additional resources available to support further professional learning. In the second half of this session, participants dig deeper into unit resources to start planning for instruction for their first grade-level unit.

    When delivered as a grade band session, Part 1 will feature an exemplar from the grade 4 unit Energy Conversions.

    When delivered as a grade level session, Part 1 features the following units:

    • K: Needs of Plants and Animals
    • 1: Animal and Plant Defenses
    • 2: Plant and Animal Relationships
    • 3: Balancing Forces
    • 4: Energy Conversions
    • 5: Patterns of Earth and Sky

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    *When delivered remotely, this full-day initial training session (6 hours) is split into two half-day sessions (3 hours each). Part 1 and Part 2 may be scheduled consecutively on the same day or on different days, ideally within two weeks. The same participants should attend both sessions in order to receive all content. This flexible scheduling opportunity for remote sessions will be available starting 6/2022.

    Program overview

    Half day (3 hours)
    Grade band: K–5 / 6–8
    Grade level: 6, 7, 8

    In this session, participants learn the essentials necessary to implement Amplify Science with success. They learn to navigate the digital Amplify Science platform and become familiar with planning resources and strategies. Through a model lesson and guided reflection, participants build an understanding of the instructional approach to teaching and learning.

    When delivered as a grade band session, an exemplar will be featured from the following units:

    • K–5 workshops feature an exemplar from the grade 4 unit Energy Conversions.
    • 6–8 workshops feature an exemplar from Metabolism.

    When delivered as a grade level session, the following units will be featured:

    • K: Needs of Plants and Animals
    • 1: Animal and Plant Defenses
    • 2: Plant and Animal Relationships
    • 3: Balancing Forces
    • 4: Energy Conversions
    • 5: Patterns of Earth and Sky

    6–8 workshops feature one of the following units:

    • Metabolism
    • Ocean, Atmosphere, and Climate
    • Phase Change

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Program overview for Interactive Classroom

    Half day (3 hours)
    Grand band: K–5
    Grade level: K, 1, 2, 3, 4, 5

    In this session, participants learn to navigate with Amplify Science Interactive Classroom and prepare to start teaching. The session opens with a model lesson that introduces the functionality of the Interactive Classroom interface and highlights the Amplify Science instructional approach. Next, participants experience a guided navigation walkthrough that prepares them to use the full suite of Interactive Classroom features with their students. The session closes with time to reflect on implementation and a walkthrough of additional resources available to support further professional learning.

    When delivered as a grade band session, the workshop features an exemplar from the Grade 4 unit Energy Conversions.

    When delivered as a grade level session, the workshop features the following units:

    • K: Needs of Plants and Animals
    • 1: Animal and Plant Defenses
    • 2: Plant and Animal Relationships
    • 3: Balancing Forces
    • 4: Energy Conversions
    • 5: Patterns of Earth and Sky

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    For instructional leaders

    Administrators’ program overview

    Half day (3 hours)
    Grade band: K–5 / 6–8

    In this session, instructional leaders become familiar with the principles of phenomenon-based teaching and learning, and experience the instructional approach of Amplify Science units. Leaders consider their essential role supporting teachers and students with the implementation of a new science curriculum.

    Available starting 6/2022.

    Audience: Administrators, department chairs, coaches, maximum 30 participants
    Modality: Onsite/Remote

    Administrators’ program overview for Interactive Classroom

    Half day (3 hours)
    Grade band: K-5

    In this session, instructional leaders become familiar with the functionality of Amplify Science with Interactive Classroom and are introduced to the instructional approach of Amplify Science units. Leaders consider their essential role supporting teachers and students with the implementation of a new science curriculum.

    Available starting 6/2022.

    Audience: Administrators, department chairs, coaches, maximum 30 participants
    Modality: Onsite/Remote

    Strengthening sessions

    For teachers

    Guided unit internalization

    Half day (3 hours)
    Grade band: K–5 / 6–8
    Grade level: K, 1, 2, 3, 4, 5, 6, 7, 8
    Prerequisite: Initial training or program overview

    In this session, participants leverage a planning protocol to internalize an upcoming unit. They apply their understanding of how students engage in three-dimensional learning throughout the unit to plan for the diverse needs of their classrooms and students.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Strengthening consultation session

    60-minute session
    Grade band: K–5 / 6–8
    Grade level: K, 1, 2, 3, 4, 5, 6, 7, 8
    Prerequisite: Initial training or program overview

    This 60-minute session focuses on a specific topic that will deepen teachers understanding of Amplify Science. An Amplify facilitator will align with the school or district leadership team in advance on the topic (chosen from a menu of options) that will best meet teachers unique options.

    Topics include supporting diverse learners (for K–8 teachers), Classwork/My Work/Assign/Reporting (for 6–8 teachers), and planning an Amplify Science lesson (for K–8 teachers).

    Available starting 6/2022.

    Audience: Teachers, maximum 30 participants
    Modality: Remote

    Strengthening consultation package

    3 1-hour sessions
    Grade band: K–5 / 6–8
    Grade level: K, 1, 2, 3, 4, 5, 6, 7, 8
    Prerequisite: Initial training or program overview

    This package consists of three 60-minute sessions that can be delivered on the same day or on different days. Each session will focus on a specific topic that will deepen teachers understanding of Amplify Science. An Amplify facilitator will align with the school or district’s leadership team in advance on the topic from a menu of options that will best meet teachers unique needs.

    Available starting 6/2022.

    Audience: Teachers, maximum 30 participants
    Modality: Remote

    For instructional leaders

    Strengthening consultation session

    60-minute session
    Grade band: K–5 / 6–8
    Grade level: K, 1, 2, 3, 4, 5, 6, 7, 8
    Prerequisite: Administrators’ program overview

    These 60 minute sessions will focus on a specific topic that will deepen instructional leaders’ understanding in Amplify Science and equip them in driving towards stronger student outcomes. An Amplify facilitator will align with the school or district’s leadership team in advance on the topic from a menu of options that will best meet instructional leaders’ unique needs.

    Topics include data analysis with Admin Reports (for 6-8 leaders), and Amplify Science classroom look-fors (for K-8 leaders).

    Available starting 6/2022.

    Audience: Administrators, department chairs, coaches, maximum 30 participants
    Modality: Remote

    Strengthening consultation package

    3 1-hour sessions
    Grade band: K–5 / 6–8
    Prerequisite: Administrators’ program overview

    This package consists of three 60-minute sessions that can be delivered on the same day or on different days. Each session will focus on a specific topic that will deepen leaders’ understanding of Amplify Science. An Amplify facilitator will align with the school or district’s leadership team in advance on the topic from a menu of options that will best meet leaders’ unique needs.

    Available starting 6/2022.

    Audience: Administrators, department chairs, coaches, maximum 30 participants
    Modality: Remote

    Coaching sessions

    For teachers

    Job-Embedded Coaching (JEC) services: Teachers

    1 day (6 hours)
    Grade band: K–5 / 6–8
    Grade level: K, 1, 2, 3, 4, 5, 6, 7, 8
    Prerequisite: Initial training or program overview

    Strengthen your implementation of Amplify Science with a coaching onsite visit for your teachers. An Amplify Science Professional Learning Specialist can visit classrooms for observation and debriefs with focused feedback and/or facilitate PLC or grade-level meetings to support teachers with planning decisions. The flexible coaching design allows for a collaborative and personalized approach to support effective program implementation.

    Audience: Teachers, maximum 30 participants
    Modality: Onsite/Remote

    For instructional leaders

    Job-Embedded Coaching (JEC): Administrators

    1 day (6 hours)
    Grade band: K–5 / 6–8
    Prerequisite: Administrators’ program overview

    In our Coaching sessions, instructional leaders engage in facilitated Professional Learning Walks (PLW)—non-evaluative classroom observations of Amplify Science classrooms that focus on building capacity to identify indicators of strong implementation of the program. Classroom look-fors focus on the use of instructional resources (material access/use and the Classroom Wall), instructional delivery (unpacking the unit phenomena and multimodal instruction), and monitoring of instruction (supporting all learners and use of the Assessment System). Leaders collaboratively analyze collected data in order to identify strengths and areas for growth specific to the implementation of Amplify Science for their teaching teams. Leaders leave with an action plan for supporting their teachers based on the analysis and reflection from the PLW.

    Audience: Administrators, department chairs, coaches, maximum 30 participants
    Modality: Onsite

    Pricing

    We offer the following pricing for training sessions and packages:

    Session typePricing
    2 consecutive full day onsite sessions$4,800
    1-day onsite session$3,200
    1-day remote session (2 half days)$1,500
    1-day remote coaching session$1,200
    Half-day onsite session$2,500
    Half-day remote session$750
    60-minute remote session$350
    3 1-hour remote sessions$1,000
    Customized Amplify Science onsite or remote packagesPrice will vary

    Please note that the prices are general ranges and may be subject to change.

    Contact

    Amplify welcomes the opportunity to partner with schools and districts to design professional development plans and answer your questions.

    If you would like to order any of our professional development services, please contact your local Amplify sales representative or call (800) 823-1969.

    DPS teachers, welcome to Amplify Science!

    Here you’ll learn more about the program, download a pre-launch checklist, and read about how to get help when planning and delivering instruction.

    A woman holding a glass, overlaid with illustrations of a telescope, rocket, polar bear, and rain.

    Program introduction

    Onboarding: What to expect

    Welcome to Amplify Science! To help you know what’s coming next, we created the following visual that outlines the steps of the onboarding process. You can use it as a reference.

    Illustration of an educational checklist with icons for reviewing launch steps, attending workshops, logging into a guide, exploring curriculum, and ensuring suitability for grades 6-8.

    Onboarding videos

    To start using Amplify Science 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 logging in and navigating the digital Teacher’s Guide.

    What’s online?

    Program pacing

    Planning strategies

    How to log in and navigate

    Introduction to Classwork (grades 6–8)

    DPS scope and sequence (K–5)

    Amplify Science's Year at a Glance unit breakdown for Kindergarten through grade five

    DPS scope and sequence (6–8)

    Amplify Science's Year at a Glance unit breakdown for grade six through grade eight

    Amplify Science Program Guide

    Getting started

    The Amplify Science Program Guide details information about the program, including its authorship, development, themes, and more. It serves as a resource for finding out more about the program’s structure, components, supports, how it meets standards, and flexibility.

    Navigate through the links below to access more information about the program and to explore resources that can help with your implementation:

    Digging deeper

    The sections below provide more details on the program’s approach and pedagogy:

    Join our community.

    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.

    Looking for help?

    Powerful (and free!) pedagogical support

    Amplify provides a unique kind of support you won’t find from other publishers. We have 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 7 a.m. to 7 p.m. ET, 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:

    K-8 Symposium on Early Literacy

    Once you submit this form, it will take a few days to generate and send your personalized certificate. That email will come directly from support@credential.net

    Illustrated collage featuring diverse figures and symbols of progress such as the American flag, Supreme Court building, a rocket, and a banner reading "Moving forward together.

    Get your certificate

    • In order to receive your certificate, please answer the following questions. Please do not submit this form more than once. If you have not received your certificate within 48 hours of submitting, please reach out to events@amplify.com.
    • Please include your personal, professional, or academic titles and suffixes you want on the certificate.

    Plan your professional development

    We’re excited to partner with you on your Amplify journey. Flexible professional development pathways have been designed to meet your needs.

    Illustration of three educational phases: a teacher launches a rocket, another reads a book, and four individuals discuss in a meeting setting.

    Recommended Professional Development Plan

    Our team has curated a recommended professional learning path from initial launch to continuous support. Use the Professional Development Planning Guide below to discuss the plan that best meets your school or district needs with your Account Executive.

    mCLASS with DIBELS 8th Edition sessions overview

    AudienceTitleDurationModality
    Launch
    New mCLASS with DIBELS 8th Edition customers with limited time for PDmCLASS with DIBELS 8th Edition program overviewHalf dayOnsite/Remote
    New mCLASS with DIBELS 8th Edition customersInitial training1 day onsite or 2 half days remoteOnsite/Remote
    Initial training: Train the Trainer1 day onsite or 2 half days remoteOnsite/Remote
    Initial trainingSelf-pacedOnline course
    Strengthen
    mCLASS with DIBELS 8th Edition customers with limited time for PDUnderstanding your classroom dataHalf dayOnsite/Remote
    All mCLASS with DIBELS 8th Edition customersClassroom data analysis and instructional planning1 day onsite or 2 half days remoteOnsite/Remote
    Classroom data analysis and instructional planning: Train the Trainer1 day onsite or 2 half days remoteOnsite/Remote
    Classroom data analysis and instructional planningSelf-pacedOnline course
    All mCLASS with DIBELS 8th Edition customersUnderstanding your school or district dataHalf dayOnsite/Remote
    Data-driven leadership practices 1 day onsite or 2 half days remoteOnsite/Remote
    Data-driven leadership practices: Train the Trainer1 day onsite or 2 half days remoteOnsite/Remote
    Data-driven leadership practicesSelf-pacedOnline course
    Strengthening consultation session60 min.Remote
    Strengthening consultation session package3 60-min. sessionsRemote
    Coach
    All mCLASS with DIBELS 8th Edition customersCoaching session1 dayOnsite
    Coaching sessionHalf dayOnsite/Remote
    Building readers
    All mCLASS with DIBELS 8th Edition customersBuilding readers for leaders2 half daysOnsite/Remote
    Building readers for teachers3 half daysOnsite/Remote

    Launch

    mCLASS with DIBELS 8th edition program overview

    Half day (3 hours)

    This PD prepares participants to implement the assessment and collect reliable data using standardized guidelines.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Initial training

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to implement the assessment, collect reliable data using standardized guidelines, and use the targeted lessons available on mCLASS to drive differentiated instruction.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Initial training: Train the Trainer

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to implement the assessment, collect reliable data using standardized guidelines, and use the targeted lessons available on mCLASS to drive differentiated instruction. Participants receive annotated session materials to turnkey the session to colleagues.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Initial training

    Self-paced

    This PD is an individual seat to our self-paced, on-demand online course that contains approximately 6 hours of training. Participants will learn how to implement the assessment, collect reliable data using standardized guidelines, and use the targeted lessons available on mCLASS to drive differentiated instruction. Participants will access and revisit the course anytime for up to one year as a refresher.

    Audience: Teachers (administrators welcome)
    Modality: Online

    Strengthen

    Understanding your classroom data

    Half day (3 hours)

    This PD prepares participants to understand their students’ data by utilizing the reports available on mCLASS. This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Classroom data analysis and instructional planning

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to deeply understand their students’ data and create actionable instructional plans by utilizing the reports and skills-focused lesson plans available on mCLASS.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    *This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Classroom data analysis and instructional planning: Train the Trainer

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to deeply understand their students’ data and create actionable instructional plans by utilizing the reports and skills-focused lesson plans available on mCLASS. Participants receive annotated session materials to turnkey the session to colleagues.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    *This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Classroom data analysis and instructional planning

    Online course (self-paced)

    This PD is an individual seat to our self-paced, on-demand online course that contains approximately 6 hours of training. Participants will learn how to deeply understand their students’ data and create actionable instructional plans by utilizing the reports and skills-focused lesson plans available on mCLASS. Participants will access and revisit the course anytime for up to one year as a refresher.

    Audience: Teachers (administrators welcome)
    Modality: Online

    Understanding your school or district data

    Half day (3 hours)

    This PD prepares participants to use their data in making schoolwide decisions. This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Audience: Administrators, maximum 30 participants
    Modality: Onsite/Remote

    Data-driven leadership practices

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to use their data in making school-wide decisions and build a schoolwide culture of data-driven instruction. This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Audience: Administrators, maximum 30 participants
    Modality: Onsite/Remote

    Data-driven leadership practices: Train the Trainer

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to use their data in making school-wide decisions and build a schoolwide culture of data-driven instruction. This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data. Participants receive annotated session materials to turnkey the session to colleagues.

    Audience: Administrators, maximum 30 participants
    Modality: Onsite/Remote

    Data-driven leadership practices

    Online course (self-paced)

    This PD is an individual seat to our self-paced, on-demand online course that contains approximately 6 hours of training. Participants will learn how to use their data in making school-wide decisions and build a schoolwide culture of data-driven instruction. Participants will access and revisit the course anytime for up to one year as a refresher.

    Audience: Administrators
    Modality: Online

    Strengthening consultation session

    (60-min.)

    This 60-minute session will focus on a specific topic that will deepen educators’ understanding of mCLASS and equip them with the tools needed to drive stronger student outcomes. An Amplify facilitator will align with the school or district leadership team in advance of the session on the topic (chosen from a menu of options) that will best meet educators’ unique needs.
    Topics include:

    • Progress Monitoring
    • Zones of Growth
    • Data Walkthrough for Leaders

    Audience: Teachers and/or administrators, maximum 30 participants
    Modality: Remote

    Strengthening consultation session package

    (3 hours)

    This package consists of three 60-minute sessions that can be delivered on the same day or on different days. Each session will focus on a specific topic that will deepen educators’ understanding of mCLASS and equip them in driving towards stronger student outcomes. An Amplify facilitator will align with the school or district’s leadership team in advance on the topics that will best meet educators’ unique needs.
    Topics include:

    • Progress Monitoring
    • Zones of Growth
    • Data Walkthrough for Leaders

    Audience: Teachers and/or administrators, maximum 30 participants
    Modality: Remote

    Coach

    Coaching session

    1 day (6 hours)

    This PD will deepen educators’ understanding of how to utilize mCLASS in order to accelerate data-driven student outcomes. An Amplify facilitator will visit one or two school sites for one day and work with teachers and/or leaders. Prior to the visit, the Amplify facilitator will align with each school’s leadership team on their needs and customize the visit schedule accordingly.

    Audience: Teachers and/or administrators, maximum 30 participants
    Modality: Onsite

    Coaching session

    Half day (3 hours)

    This PD is up to 3 hours of training and will deepen educators’ understanding of how to utilize mCLASS in order to accelerate data-driven student outcomes. An Amplify facilitator will visit one school site for a half-day and work with teachers and/or leaders. Prior to the visit, the Amplify facilitator will align with each school’s leadership team on their needs and customize the visit schedule accordingly.

    Audience: Teachers and/or administrators, maximum 30 participants
    Modality: Onsite/Remote

    Building readers

    Building readers for leaders

    2 half days (6 hours)

    This training session is split into 2 half-day sessions (3 hours each). The same participants should attend both sessions in order to receive all content, which includes learning the Science of Reading and how to align this theory with schoolwide instruction. Part 2 should be scheduled two to three weeks after Part 1.

    Audience: Administrators, maximum 30 participants
    Modality: Onsite

    Building readers for teachers

    3 half days (9 hours)

    This training series is split into three half-day sessions (3 hours each). The same participants should attend all sessions in order to receive all content, which includes learning the Science of Reading and how to align this theory with classroom instruction. Part 2 should be scheduled two to three weeks after Part 1, and Part 3 should be scheduled two to three weeks after Part 2.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    mCLASS with DIBELS 8th Edition and TRC sessions overview

    AudienceTitleDurationModality
    Launch
    New mCLASS with DIBELS 8th Edition and TRC customersInitial training1 day onsite or 2 half days remoteOnsite/Remote
    Initial training: Train the Trainer1 day onsite or 2 half days remoteOnsite/Remote
    Initial trainingSelf-pacedOnline course
    Strengthen
    All mCLASS with DIBELS 8th Edition and TRC customersClassroom data analysis and instructional planning1 day onsite or 2 half days remoteOnsite/Remote
    Data-driven leadership practices1 day onsite or 2 half days remoteOnsite/Remote
    Coach
    All mCLASS with DIBELS 8th Edition and TRC customersCoaching session1 dayOnsite
    Coaching sessionHalf dayOnsite/Remote

    Launch

    Initial training

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to implement the assessment, collect reliable data using standardized guidelines, and use the targeted lessons available on mCLASS to drive differentiated instruction.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Initial training: Train the Trainer

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to implement the assessment, collect reliable data using standardized guidelines, and use the targeted lessons available on mCLASS to drive differentiated instruction. Participants receive annotated session materials to turnkey the session to colleagues.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Initial training

    Self-paced

    This PD is an individual seat to our self-paced, on-demand online course that contains approximately 6 hours of training. Participants will learn how to implement the assessment, and collect reliable data using standardized guidelines and use the targeted lessons available on mCLASS to drive differentiated instruction. Participants will access and revisit the course anytime for up to one year as a refresher.

    Audience: Teachers (administrators welcome)
    Modality: Online

    Strengthen

    Classroom data analysis and instructional planning

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to deeply understand their students’ data and create actionable instructional plans by utilizing the reports and skills-focused lesson plans available on mCLASS.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    *This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Data-driven leadership practices

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to use their data in making schoolwide decisions and build a schoolwide culture of data-driven instruction. This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Audience: Administrators, maximum 30 participants
    Modality: Onsite/Remote

    Coach

    Coaching session

    1 day onsite (6 hours)

    This PD will deepen educators’ understanding of how to utilize mCLASS in order to accelerate data-driven student outcomes. An Amplify facilitator will visit one or two school sites for one day and work with teachers and/or leaders. Prior to the visit, the Amplify facilitator will align with each school’s leadership team on their needs and customize the visit schedule accordingly.

    Audience: Teachers and/or administrators, maximum 30 participants
    Modality: Onsite/Remote

    Coaching session

    Half day (3 hours)

    This PD is up to 3 hours of training and will deepen educators’ understanding of how to utilize mCLASS in order to accelerate data-driven student outcomes. An Amplify facilitator will visit one school site for a half-day and work with teachers and/or leaders. Prior to the visit, the Amplify facilitator will align with each school’s leadership team on their needs and customize the visit schedule accordingly.

    Audience: Teachers and/or administrators, maximum 30 participants
    Modality: Onsite/Remote

    mCLASS Lectura sessions overview

    AudienceTitleDurationModality
    Launch
    New mCLASS Lectura Customers with limited time for PDmCLASS Lectura program overviewHalf dayOnsite/Remote
    New mCLASS Lectura customersmCLASS Lectura initial training1 day onsite or 2 half days remoteOnsite/Remote
    mCLASS Lectura initial training: Train the Trainer1 day onsite or 2 half days remoteOnsite/Remote
    mCLASS Lectura Initial trainingSelf-pacedOnline course
    Strengthen
    All mCLASS Lectura customers with limited time for PDUnderstanding your classroom dataHalf dayOnsite/Remote
    All mCLASS Lectura customersClassroom data analysis and instructional planning1 day onsite or 2 half days remoteOnsite/Remote
    Classroom data analysis and instructional planning: Train the Trainer1 day onsite or 2 half days remoteOnsite/Remote
    Understanding your school or district dataHalf dayOnsite/Remote
    Data-driven leadership practices 1 day onsite or 2 half days remoteOnsite/Remote
    Data-driven leadership practices: Train the Trainer1 day onsite or 2 half days remoteOnsite/Remote
    Strengthening consultation session60 min.Remote
    Coach
    All mCLASS Lectura customersCoaching session1dayOnsite
    Coaching sessionHalf dayOnsite/Remote

    Launch

    mCLASS Lectura program overview

    Half day (3 hours)

    This PD prepares participants to implement the assessment and collect reliable data using standardized guidelines.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    mCLASS Lectura initial training

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to implement the assessment, collect reliable data using standardized guidelines, and use the targeted lessons available on mCLASS to drive differentiated instruction. While the assessment must be administered in Spanish, English-speaking educators educators who would like to learn about the program but will not be administering the assessment may attend.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    mCLASS Lectura initial training: Train the Trainer

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to implement the assessment and collect reliable data using standardized guidelines. While the assessment must be administered in Spanish, English-only speaking educators who would like to learn about the program but will not be administering the assessment may attend. Participants receive annotated session materials to turnkey the session to colleagues.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    mCLASS Lectura initial training

    Online course (self-paced)

    This PD is an individual seat to our self-paced, on-demand online course that contains approximately 6 hours of training. Participants will learn how to implement the assessment, collect reliable data using standardized guidelines, and use the targeted lessons available on mCLASS to drive differentiated instruction. Participants will access and revisit the course anytime for up to one year as a refresher.

    Audience: Teachers (administrators welcome)
    Modality: Online

    Strengthen

    Understanding your classroom data

    Half day (3 hours)

    This PD prepares participants to understand their students’ data by utilizing the reports available on mCLASS. This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Classroom data analysis and instructional planning

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to deeply understand their students’ data and create actionable instructional plans by utilizing the reports and skills-focused lesson plans available on mCLASS.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    *This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Classroom data analysis and instructional planning: Train the Trainer

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to deeply understand their students’ data and create actionable instructional plans by utilizing the reports and skills-focused lesson plans available on mCLASS. Participants receive annotated session materials to turnkey the session to colleagues.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    *This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Understanding your school or district data

    Half day (3 hours)

    This PD prepares participants to use their data in making schoolwide decisions. This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Audience: Administrators, maximum 30 participants
    Modality: Onsite/Remote

    Data-driven leadership practices

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to use their data in making school-wide decisions and build a schoolwide culture of data-driven instruction. This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Audience: Administrators, maximum 30 participants
    Modality: Onsite/Remote

    Data-driven leadership practices: Train the Trainer

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to use their data in making schoolwide decisions and build a schoolwide culture of data-driven instruction. This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data. Participants receive annotated session materials to turnkey the session to colleagues.

    Audience: Administrators, maximum 30 participants
    Modality: Onsite/Remote

    Strengthening consultation session package

    (3 hours)

    This package consists of three 60-minute sessions that can be delivered on the same day or on different days. Each session will focus on a specific topic that will deepen educators’ understanding of mCLASS and equip them with the tools needed to drive stronger student outcomes. An Amplify facilitator will align with the school or district leadership team in advance of the session on the topic (chosen from a menu of options) that will best meet educators’ unique needs. Topics include progress monitoring, goal setting, and a data walkthrough for leaders.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Remote

    Coach

    Coaching session

    1 day (6 hours)

    This PD will deepen educators’ understanding of how to utilize mCLASS in order to accelerate data-driven student outcomes. An Amplify facilitator will visit 1–2 school sites for one day and work with teachers and/or leaders. Prior to the visit, the Amplify facilitator will align with each school’s leadership team on their needs and customize the visit schedule accordingly.

    Audience: Teachers and/or administrators, maximum 30 participants
    Modality: Onsite

    Coaching session

    Half day (3 hours)

    This PD is up to 3 hours of training and will deepen educators’ understanding of how to utilize mCLASS in order to accelerate data-driven student outcomes. An Amplify facilitator will visit 1 school site for a half-day and work with teachers and/or leaders. Prior to the visit, the Amplify facilitator will align with each school’s leadership team on their needs and customize the visit schedule accordingly.

    Audience: Teachers and/or administrators, maximum 30 participants
    Modality: Onsite/Remote

    LaunchStrengthenOngoing
    BOYAfter BOY or MOYAfter BOY or MOY
    New customersProgram overviewUnderstanding your classroom dataCoaching session
    Initial trainingUnderstanding your school or district dataBuilding readers for teachers
    Strengthening consultation session/packageBuilding readers for leaders
    Returning customersCoaching session (refresher content)Classroom data analysis and instructional planningCoaching session
    Data-driven leadership practicesBuilding readers for teachers
    Strengthening consultation session/packageBuilding readers for leaders
    *Note: If you are currently delivering instruction in a hybrid or remote model, we recommend that all of the sessions above be delivered remotely.

    mCLASS Express sessions overview

    TitleDurationModality
    Launch
    Initial trainingHalf dayOnsite/Remote
    Initial trainingSelf-pacedOnline course

    Launch

    Initial training

    Half day (3 hours)

    Take the first step in launching mCLASS Express! The half-day initial training will help educators understand how mCLASS Express’ voice-recognition scoring generates immediate instructional recommendations for students reading below grade level. Educators will also learn how to utilize the teacher portal to assign assessments, review and correct scoring, track student growth over time, and leverage the program’s activities to create an action plan for a single classroom or across classes/grades.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Initial training

    Self-paced (2 hours)

    Take the first step in launching mCLASS Express! The two-hour initial training will help educators understand how mCLASS Express’ voice-recognition scoring generates immediate instructional recommendations for students reading below grade level. Educators will also learn how to utilize the teacher portal to assign assessments, review and correct scoring, track student growth over time, and leverage the program’s activities to create an action plan for a single classroom or across classes/grades.

    As this is a self-paced, on-demand online course, participants will be able to access the course anytime, move as quickly or slowly as needed through different sections, and revisit the course up to one year as a refresher in the future.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Online

    mCLASS: IDEL sessions overview

    TitleDurationModality
    Launch
    mCLASS IDEL program overviewHalf dayOnsite/Remote
    Initial training1 dayOnsite/Remote
    Initial training: Train the Trainer1 dayOnsite/Remote
    Initial trainingSelf-pacedOnline course

    Launch

    mCLASS IDEL program overview

    Half day (3 hours)

    This PD prepares participants to implement the assessment and collect reliable data using standardized guidelines.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Initial training

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    Prepare to implement your mCLASS:IDEL assessment with fidelity! Learn about the five basic early literacy skills that are crucial for reading development, and understand how they are assessed on the mCLASS:IDEL assessment. Then, practice administering and scoring each assessment measure and receive targeted feedback from a facilitator. Upon completion of this session, participants will be on their way to collecting reliable data to support all students.

    Audience: Teachers and/or administrators, maximum 30 participants
    Modality: Onsite/Remote

    Initial training: Train the Trainer

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    Prepare to implement your mCLASS:IDEL assessment with fidelity! Learn about the five basic early literacy skills that are crucial for reading development, and understand how they are assessed on the mCLASS:IDEL assessment. Then, practice administering and scoring each assessment measure and compare your responses to exemplars. As this is a Train the Trainer session, participants will receive annotated session materials in order to turnkey the session to colleagues.

    Audience: Teachers and/or administrators, maximum 30 participants
    Modality: Onsite/Remote

    Initial training

    Online course (self-paced)

    This PD is an individual seat to our self-paced, on-demand online course that contains approximately 6 hours of training. Participants will learn how to implement the assessment, collect reliable data using standardized guidelines, and use the targeted lessons available on mCLASS to drive differentiated instruction. Participants will access and revisit the course anytime for up to one year as a refresher.

    Audience: Teachers (administrators welcome)
    Modality: Online

    TRC Atlas Español

    Launch

    TRC Atlas Español program overview

    Half day (3 hours)

    This PD prepares participants to implement the assessment and collect reliable data using standardized guidelines.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    mCLASS Math sessions overview

    AudienceTitleDurationModality
    Launch
    New mCLASS Math customers with limited time for PDmCLASS Math program overviewHalf dayOnsite/Remote
    New mCLASS Math customersInitial training1 day onsite or 2 half days remoteOnsite/Remote
    Initial training: Train the Trainer1 day onsite or 2 half days remoteOnsite/Remote
    Strengthen
    All mCLASS Math customers with limited time for PDUnderstanding your classroom dataHalf dayOnsite/Remote
    All mCLASS Math customersClassroom data analysis and instructional planning1 day onsite or 2 half days remoteOnsite/Remote
    Classroom data analysis and instructional planning: Train the Trainer1 day onsite or 2 half days remoteOnsite/Remote
    Understanding your school or district dataHalf dayOnsite/Remote
    Data-driven leadership practices1 day onsite or 2 half days remoteOnsite/Remote
    Data-driven leadership practices: Train the Trainer1 day onsite or 2 half days remoteOnsite/Remote

    Launch

    mCLASS Math program overview

    Half day (3 hours)

    This PD prepares participants to implement the assessment and collect reliable data using standardized guidelines.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Initial training

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    Learn the foundational research for mCLASS Math and how it supports students’ abilities in mathematical reasoning. Understand the various assessment components and develop techniques for interviewing students and documenting their thinking. Interpret assessment results, and brainstorm suggested instructional activities. Upon completion of this session, participants will be on their way to collecting reliable data.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Initial training: Train the Trainer

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    Learn the foundational research for mCLASS Math and how it supports students’ abilities in mathematical reasoning. Understand the various assessment components, and develop techniques for interviewing students and documenting their thinking. Interpret assessment results, and brainstorm suggested instructional activities. Upon completion of this session, participants will be on their way to collecting reliable data. Participants receive annotated session materials to turnkey the session to colleagues.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Strengthen

    Understanding your classroom data

    Half day (3 hours)

    This PD prepares participants to understand their students’ data by utilizing the reports available on mCLASS. This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Classroom data analysis and instructional planning

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to deeply understand their students’ data and create actionable instructional plans by utilizing the reports available on mCLASS.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    *This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Classroom data analysis and instructional planning: Train the Trainer

    1 day Onsite (6 hours) or 2 half days Remote (6 hours)

    This PD prepares participants to deeply understand their students’ data and create actionable instructional plans by utilizing the reports available on mCLASS. Participants receive annotated session materials to turnkey the session to colleagues.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    *This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Understanding your School or District Data

    Half day (3 hours)

    This PD prepares participants to use their data in making schoolwide decisions. This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Audience: Administrators, maximum 30 participants
    Modality: Onsite/Remote

    Data-driven leadership practices

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to use their data in making schoolwide decisions and build a schoolwide culture of data-driven instruction. This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Audience: Administrators, maximum 30 participants
    Modality: Onsite/Remote

    Data-driven leadership practice: Train the Trainer

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to use their data in making schoolwide decisions and build a schoolwide culture of data-driven instruction. This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data. Participants receive annotated session materials to turnkey the session to colleagues.

    Audience: Administrators, maximum 30 participants
    Modality: Onsite/Remote

    Contact

    Amplify welcomes the opportunity to partner with schools and districts to design professional development plans and answer your questions.

    If you would like to order any of our professional development services, please contact your local Amplify sales representative or call (800) 823-1969.

    Amplify ELA CA Edition professional development

    Amplify ELA is an engaging and rigorous curriculum designed specifically for grades 6–8. With Amplify ELA, students learn to tackle any complex text and make observations, grapple with interesting ideas, and find relevance for themselves.

    We’ve created a wide suite of professional development offerings that will help you meet your unique needs this school year. Find out more below!

    Professional Learning Partner Guide Certified Provider

    Amplify CKLA, ELA, and Science professional development has been vetted by Rivet Education’s team through a rigorous three-step process and is listed in the Professional Learning Partner Guide.

    Two women sit at a desk; one types on a laptop while the other writes in a spiral notebook. Both are smiling. Colorful posters are visible on the wall behind them.

    Plan your professional development

    We’re excited to partner with you on your Amplify journey. Flexible professional development pathways have been designed to meet your needs.

    Illustration of three educational phases: a teacher launches a rocket, another reads a book, and four individuals discuss in a meeting setting.

    Recommended professional development plan

    Our team has curated a recommended professional learning path from initial launch to continuous support. Use the Professional Development Planning Guide below to discuss the plan that best meets your school or district needs with your Account Executive.

    Sessions overview

    Recomended sessions are highlighted below

    Title Duration Modality Available
    Launch
    Comprehensive initial + ELD training for teachers 2 days consecutive Onsite Yes
    Initial training for teachers 1 day Onsite Yes
    Initial training for teachers 2 half days Remote Yes
    Program overview Half day Onsite/Remote Yes
    Initial training for instructional leaders Half day Onsite/Remote Yes
    Comprehensive ELD training for teachers Half day Remote Yes
    Basic ELD training for teachers 90 min. Remote Yes
    Strengthen
    Enhancing observations for leaders Half day Onsite/Remote 09/01/22
    Enhancing planning and practice Half day Onsite/Remote Yes
    Analytic reading Half day Onsite/Remote Yes
    Supporting all learners Half day Onsite/Remote Yes
    Data-informed instruction Half day Onsite/Remote Yes
    Writing: Improving through feedback Half day Onsite/Remote Yes
    Strengthening consultation package 3 1-hour sessions Remote Yes
    Strengthening consultation session 1 hour Remote Yes
    Coach
    Coaching sessions 2 days consecutive Onsite Yes
    Coaching sessions 1 day Onsite/Remote Yes
    Half day Onsite/Remote Yes

    Launch

    Comprehensive initial and ELD training

    2 consecutive days (12 hours)

    Prepare to implement and support Amplify ELA and Amplify ELD instruction in your schools! Learn about the integrated and designated approaches to supporting language learners using our ELD and ELA programs. Participants will learn how to navigate the Amplify platform, practice giving feedback on student work, and explore how to use Amplify ELA’s reporting features and embedded supports to monitor student progress. Multiple opportunities to practice components of Amplify ELA and Amplify ELD are incorporated throughout this training. Participants will leave feeling confident to begin teaching Amplify ELA and Amplify ELD. Recommended for schools or districts that want embedded practice time. This session is designed for schools who have purchased Amplify ELD, Amplify’s English Language Development program.

    Audience: Teachers and coaches, maximum 30 participants

    Modality: Onsite

    Initial training for teachers

    1 day (6 hours)

    Prepare to implement and support Amplify ELA instruction in your schools! Learn how Amplify ELA supports students through rigorous and engaging ELA instruction. Participants will navigate the Amplify ELA platform, learn how to give feedback on student work, and explore how to use Amplify ELA’s embedded supports and Reporting app to monitor student progress. Participants will leave with an action plan to begin teaching Amplify ELA.

    Audience: Teachers and coaches, maximum 30 participants; Remote, maximum 15 participants

    Modality: Onsite

    Initial training for teachers

    2 half days (3 hours per day, 6 hours total)

    This full day initial training session (6 hours) is split into two half-day sessions (3 hours each). Part 1 and Part 2 may be scheduled consecutively on the same day or on different days, ideally within 2 weeks. The same participants should attend both sessions in order to receive all content about key components of Amplify ELA, which includes learning how to navigate, teach, and monitor student progress.

    Audience: Teachers and coaches, maximum 30 participants

    Modality: Remote

    Program essentials

    Half day (3 hrs)

    Learn the program essentials, including how to navigate the digital curriculum and print materials components and how to locate assessments, data reports, and other features associated with the curriculum.

    Audience: Teachers and coaches, maximum 30 participants

    Modality: Onsite/Remote

    Initial training for instructional leaders

    Half day (3 hours)

    This training will provide district-and school-level instructional leaders with an overview of Amplify ELA so that they can support their staff in implementing Amplify. Learn basic navigation and gain an understanding of Amplify ELA’s approach to reading, writing, and language instruction. Participants will then have the opportunity to choose how to best support teachers by either developing a school-wide implementation plan or learning strategies for effective classroom observations.

    Audience: Ideal for instructional leaders, principals and district staff who oversee the implementation of the new curriculum, maximum 30 participants

    Modality: Onsite/Remote

    Comprehensive ELD training

    Half day (3 hours)

    This session is designed for schools who have purchased Amplify ELD, Amplify’s English Language Development program. It reviews the integrated and designated approaches to supporting language learners using our ELA and ELD programs. Participants will learn how to navigate the Amplify ELD platform, plan to teach a lesson, and monitor student progress. Multiple opportunities to practice components of Amplify ELD are incorporated throughout this training. Participants will leave feeling confident to begin teaching Amplify ELD.

    Audience: This is an add-on for schools who have already been using or attended an ELA Initial training, maximum 30 participants

    Modality: Remote

    Basic ELD training

    90 min.

    This session is designed for schools that have purchased Amplify ELD, Amplify’s English Language Development program. It reviews the integrated and designated approaches to supporting language learners using our ELA and ELD programs. Participants will learn how to navigate the Amplify ELD platform, plan to teach a lesson, and monitor student progress. Participants will leave feeling prepared to begin teaching Amplify ELD.

    Audience: This is an add-on for schools who have already been using or attended an ELA Initial training, maximum 30 participants

    Modality: Remote

    Strengthen

    Enhancing observations for leaders

    Half day (3 hours)

    Prerequisite training: Initial training for leaders

    Elevate your program knowledge to support colleagues with effective ELA implementation! Practice analyzing ELA lessons and identify key instructional elements and next steps. Participants will be prepared to analyze data and enhance classroom observations.

    Audience: Ideal for instructional leaders, principals and district staff who oversee the implementation of the new curriculum, maximum 30 participants

    Modality: Onsite/Remote

    Enhancing planning and practice

    Half day (3 hours)

    Dig into one unit to unpack standards, assessments, and student engagement. Through backward planning, this session guides teachers to think deeply about learning outcomes and key moments of formative assessments. Teachers will leave this session with a detailed plan for a unit of their choice that includes learning outcomes, key assessment moments, and aligned instructional strategies.

    Audience: Ideal for new or experienced Amplify ELA teachers or coaches, maximum 30 participants

    Modality: Onsite/Remote

    Analytic reading

    half day (3 hours)

    Participants will learn how close reading functions in Amplify ELA and which teacher moves support students as they tackle complex texts. Participants will learn how to facilitate a close reading session to support key reading routines, as well as promote academic discourse and the type of collaboration that drives analysis and deepens understanding.

    Audience: Ideal for new or experienced Amplify ELA teachers, maximum 30 participants

    Modality: Onsite/Remote

    Supporting all learners

    Half day (3 hours)

    Participants will learn how to effectively use embedded and differentiated supports and the Classwork app to support all students, including ELLs, students with learning disabilities, struggling readers and writers, and advanced students.

    Audience: Ideal for new teachers or instructional leaders who want to learn more about included supports in Amplify ELA, maximum 30 participants

    Modality: Onsite/Remote

    Data-informed instruction

    Half day (3 hours)

    Participants will review their own student data using the Reporting and Classwork apps and align embedded supports to specific student needs. The goal of this session is to become proficient in turning Amplify ELA data into differentiated and targeted instruction.

    Note: This course can be combined with the supporting all learners session to make a full day of training.

    Prerequisite: 4–6 weeks of student data in Amplify’s Reporting app. It is recommended that teachers are in at least Unit B.

    Audience: Ideal for teachers or support staff who want to learn how to use student data to inform instruction and provide differentiation, maximum 30 participants

    Modality: Onsite/Remote

    Writing: Improving through feedback

    Half day (3 hours)

    Participants will learn how writing functions in Amplify ELA and which teacher moves support students as they build writing skills. Participants will learn how feedback supports student growth and will practice giving targeted feedback based on rubrics and assessment data.

    Audience: This course tasks teachers to look at their students’ writing, so it is recommended for delivery after 4–6 weeks of curriculum use, maximum 30 participants

    Modality: Onsite/Remote

    Strengthening consultation package

    3 1-hour sessions

    This package consists of three 60-minute sessions that can be delivered on the same day or on different days. Each session will focus on a specific topic that will deepen educators’ understanding in ELA and equip them with the tools needed to drive stronger student outcomes. An Amplify facilitator will align with the school or district leadership team in advance of the session on the topic (chosen from a menu of options) that will best meet educators’ unique needs. The menu includes sessions on: engagement, pacing and grading/assessment.

    Audience: Teachers and coaches, maximum 30 participants

    Modality: Remote

    Strengthening consultation session

    1 hour

    This 60-minute session will focus on a specific topic that will deepen educators’ understanding in ELA and equip them with the tools needed to drive stronger student outcomes. An Amplify facilitator will align with the school or district leadership team in advance of the session on the topic (chosen from a menu of options) that will best meet educators’ unique needs. The menu includes sessions on engagement, pacing, and grading/assessment.

    Audience: Teachers and coaches, maximum 30 participants

    Modality: Remote

    Coach

    Coaching session

    2 days consecutive (6 hours per day, 12 total)

    Strengthen your implementation of Amplify ELA with an Onsite coaching visit for your teachers and/or leaders. Participants can choose from a variety of topics that include, but are not limited to: lesson modeling and debrief (conducted by an Amplify ELA coach), grade-level planning, classroom observations, and leadership consultation. The flexible onsite coaching design allows for a collaborative approach to support effective program implementation.

    Audience: Teachers, coaches, and/or instructional leaders, maximum 30 participants

    Modality: Onsite

    Coaching session

    1 day (6 hours)

    Strengthen your implementation of Amplify ELA with an Onsite coaching visit for your teachers and/or leaders. Participants can choose from a variety of topics that include, but are not limited to: lesson modeling and debrief (conducted by an Amplify ELA coach), grade-level planning, classroom observations, and leadership consultation. The flexible onsite coaching design allows for a collaborative approach to support effective program implementation.

    Audience: Teachers, coaches, and/or instructional leaders

    Modality: Onsite/Remote, maximum 30 participants

    Coaching session

    Half day (3 hours)

    Strengthen your implementation of Amplify ELA with a Coaching session for your teachers and/or leaders. Participants can choose from a variety of topics that include, but are not limited to: lesson modeling and debrief (conducted by an Amplify ELA coach), grade-level planning, classroom observations, and leadership consultation. The flexible coaching design allows for a collaborative approach to support effective program implementation.

    Audience: Teachers, coaches, and/or instructional leaders, maximum 30 participants

    Modality: Onsite/Remote

    Pricing

    We offer the following pricing for training sessions and packages:

    Session type Pricing
    2 consecutive days onsite session $4,800
    1-day onsite session $3,200
    1-day remote session (2 half days remote) $1,500
    Half-day onsite session $2,500
    Half-day remote session $750
    90-min. remote session $500
    1-hour remote session $350
    3 1-hour remote sessions $1,000

    Please note that the prices are general ranges and may be subject to change.

    Contact

    Amplify welcomes the opportunity to partner with schools and districts to design professional development plans and answer your questions.

    If you would like to order any of our professional development services, please contact your local Amplify sales representative or call (800) 823-1969.

    Plan your professional development

    We’re excited to partner with you on your Amplify journey. Flexible professional development pathways have been designed to meet your needs.

    Illustration of a rocket labeled "Launch" for beginning of the year, and a woman lifting a dumbbell labeled "Strengthen" for mid-year or end of year program implementation steps.

    Recommended Professional Development Plan

    Our team has curated a recommended professional learning path from initial launch to continuous support. Use the Professional Development Planning Guide below to discuss the plan that best meets your school or district needs with your Account Executive.

    Sessions overview

    Recommended sessions are highlighted below.
    Title Duration Modality
    Elementary school sessions
    Initial training (online course) Self-paced (approximately 3 hours) Online course
    Initial training 2 hours Onsite/Remote
    Initial training, 2 sessions in 1 day 2 2-hour sessions Onsite/Remote
    Initial training, 3 sessions in 1 day 3 2-hour sessions Onsite/Remote
    Initial training (add-on session) 2 hours, scheduled consecutively with another Amplify training Onsite
    Initial training: Train the Trainer 2½ hours Onsite/Remote
    mCLASS® Initial training with Boost Reading Texas overview This Boost Reading Texas session occurs during the last hour of a 1-day mCLASS initial training. Onsite/Remote
    Teacher dashboard reporting and analysis (online course) Self-paced (approximately 3 hours) Online course
    Teacher dashboard reporting and analysis 2 hours Onsite/Remote
    Comprehensive implementation PD package 2 2-hour sessions, scheduled separately Remote
    Administrator reporting  2 hours Onsite/Remote
    Middle school sessions
    Initial training  2 hours Onsite/Remote
    Initial training, 2 sessions in 1 day 2 2-hour sessions Onsite/Remote
    Initial training, 3 sessions in 1 day 3 2-hour sessions Onsite/Remote
    Initial training: Train the Trainer 2½ hours Onsite/Remote
    Deeper dive 1 hour Remote
    Elementary and middle school sessions
    Initial training package 2 2-hour sessions Remote

    Elementary school sessions

    Initial training (online course)

    Self-paced

    Our self-paced, on-demand online course contains approximately three hours of training. Teachers in grades K-5 who are new to Boost Reading Texas will learn how to implement the program by learning about the structure of the program, the student experience, data reporting, and implementation setup.

    As this is a self-paced, on-demand online course, participants will be able to access the course anytime, move as quickly or slowly as needed through different sections, and revisit the course up to one year as a refresher in the future.

    Audience: Teachers (administrators welcome)
    Modality: Online course

    Initial training

    2 hours

    Teachers in grades K-5 who are new to Boost Reading Texas will prepare to implement the program in their classrooms by learning about the student experience, data reporting, and implementation setup.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Initial training

    2 sessions in one day

    Teachers in grades K-5 who are new to Boost Reading Texas will prepare to implement the program in their classrooms by learning about the student experience, data reporting, and implementation setup. Two training sessions will be scheduled consecutively in one day to accommodate a larger number of teachers (up to 60 teachers, with 30 participants per session.)

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Initial training

    3 sessions in one day

    Teachers in grades K-5 who are new to Boost Reading Texas will prepare to implement the program in their classrooms by learning about the student experience, data reporting, and implementation setup. Three training sessions will be scheduled consecutively in one day to accommodate a larger number of teachers (up to 90 teachers, with 30 participants per session).

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Initial training (add-on session)

    2 hours

    Scheduled consecutively with another Amplify training.

    Teachers in grades K-5 who are new to Boost Reading Texas will prepare to implement the program in their classrooms by learning about the student experience, data reporting, and implementation setup.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite

    Initial training: Train the Trainer

    2½ hours

    Educators in grades K-5 who are new to Boost Reading Texas will prepare to implement the program in their classrooms by learning about the student experience, data reporting, and implementation setup. As this is a Train the Trainer session, participants will have increased time to deepen their knowledge and receive greater hands-on support from an Amplify facilitator. Participants will also receive annotated session materials in order to turnkey the session to colleagues.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    mCLASS initial training with Boost Reading overview

    6 hours

    This training includes both mCLASS® and Boost Reading training. The first five hours are mCLASS Texas initial training, where educators will learn how to administer the mCLASS assessment. The last hour is a Boost Reading Texas overview, where educators will receive an overview of Boost Reading Texas and how it connects with their mCLASS data in grades K-5. This Boost Reading Texas session occurs during a one-day mCLASS Texas initial training.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Teacher dashboard reporting and analysis (online course)

    Self-paced

    Our self-paced, on-demand online course contains approximately three hours of training. After teachers in grades K-5 have used Boost Reading Texas for at least six weeks, they will learn how to analyze data on the Teacher dashboard and use that data to identify small groups and target instruction.

    As this is a self-paced, on-demand online course, participants will be able to access the course anytime, move as quickly or slowly as needed through different sections, and revisit the course up to one year as a refresher in the future.

    Audience: Teachers (administrators welcome)
    Modality: Online course

    Teacher dashboard reporting and analysis training

    2 hours

    Delivered after teachers in grades K-5 have used Boost Reading Texas for at least six weeks, this training will help teachers analyze the data on their teacher dashboard and use that data to identify small groups and target instruction.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Comprehensive implementation PD package

    2 2-hour sessions

    This package is intended for schools and/or districts that want the highest level of support in launching Boost Reading Texas! The first session is an initial training session and prepares teachers in grades K-5 to implement the program in their classrooms by learning about the student experience, data reporting, and implementation setup. The second session is the Boost Reading Teacher dashboard session and is delivered after at least six weeks of usage. This session will support K-5 teachers in analyzing the data on their teacher dashboard and using that data to identify small groups and target instruction.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Remote

    Administrator reporting

    2 hours

    This training supports K-5 administrators in accessing and leveraging Boost Reading Texas reports.

    Audience: Administrators, maximum 30 participants
    Modality: Onsite/Remote

    Middle school sessions

    Initial training

    2 hours

    Teachers in grades 6-8 who are new to Boost Reading Texas will prepare to implement the program in their classrooms by learning about the student experience, data reporting, and implementation setup.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Initial training

    2 sessions in one day

    Teachers in grades 6-8 who are new to Boost Reading Texas will prepare to implement the program in their classrooms by learning about the student experience, data reporting, and implementation setup. Two training sessions will be scheduled consecutively in one day to accommodate a larger number of teachers (up to 60 teachers, with 30 participants per session.)

    Audience: Teachers (administrators welcome), maximum 30 participants per session
    Modality: Onsite/Remote

    Initial training

    3 sessions in one day

    Teachers in grades 6-8 who are new to Boost Reading Texas will prepare to implement the program in their classrooms by learning about the student experience, data reporting, and implementation setup. Three training sessions will be scheduled consecutively in one day to accommodate a larger number of teachers (up to 90 teachers, with 30 participants per session.)

    Audience: Teachers (administrators welcome), maximum 30 participants per session
    Modality: Onsite/Remote

    Initial training: Train the Trainer

    2½ hours

    Educators in grades 6-8 who are new to Boost Reading will prepare to implement the program in their classrooms by learning about the student experience, data reporting, and implementation setup.

    As this is a Train the Trainer session, participants will have increased time to deepen their knowledge and receive greater hands-on support from an Amplify facilitator. Participants will also receive annotated session materials in order to turnkey the session to colleagues.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Initial training

    3 sessions in one day

    Teachers in grades 6-8 who are new to Boost Reading Texas will prepare to implement the program in their classrooms by learning about the student experience, data reporting, and implementation setup. Three training sessions will be scheduled consecutively in one day to accommodate a larger number of teachers (up to 90 teachers, with 30 participants per session.)

    Audience: Teachers (administrators welcome), maximum 30 participants per session
    Modality: Onsite/Remote

    Deeper dive

    1 hour

    This training supports educators in grades 6-8 in understanding how Boost Reading Texas was designed to benefit students and how to leverage data to inform instructional next steps.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Remote

    Elementary and middle school sessions

    Initial training package

    2 2-hour sessions

    This package consists of two 2-hour remote sessions and is intended to support schools or districts launching Boost Reading Texas in grades K–8. One session will be geared toward K–5 teachers, and the other session will be geared toward 6–8 teachers. In each session, teachers who are new to Boost Reading Texas will prepare to implement their respective program (either elementary or middle school) in their classrooms by learning about the student experience, data reporting, and implementation setup.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Remote

    Pricing

    We offer the following pricing for training sessions and packages:

    Session typePricing
    Online course$49 per individual seat
    1-hour remote session$500
    2-hour remote session$750
    2 sessions in 1 day, remote$1,200
    3 sessions in 1 day, remote$1,500
    2-hour onsite session$2,200
    2 sessions in 1 day, onsite$2,800
    3 sessions in 1 day, onsite$3,200
    2-hour add-on to onsite training$1,200
    2 ½-hour Train the Trainer session, remote$950
    2 ½-hour Train the Trainer session, onsite$2,400
    1-day mCLASS initial training with Boost Reading Texas overview, remote$1,200
    1-day mCLASS initial training with Boost Reading Texas overview, onsite$3,200
    Comprehensive implementation PD package$1,500
    Elementary and middle school initial training package$750

    Please note that the prices are general ranges and may be subject to change.

    Contact

    Amplify welcomes the opportunity to partner with schools and districts to design professional development plans and answer your questions.

    If you would like to order any of our professional development services, please contact your local Amplify sales representative or call (800) 823-1969.

    Plan your professional development

    We’re excited to partner with you on your Amplify journey. Flexible professional development pathways have been designed to meet your needs.

    Illustration of three educational phases: a teacher launches a rocket, another reads a book, and four individuals discuss in a meeting setting.

    Recommended professional development plan

    Our team has curated a recommended professional learning path from initial launch to continuous support. Use the Professional Development Planning Guide below to discuss the plan that best meets your school or district needs with your Account Executive.

    Sessions overview

    Title Duration Modality Available
    Launch
    Amplify ELAR Texas 6–8 Comprehensive initial training for teachers 2 days consecutive Onsite Yes
    Amplify ELAR Texas 6–8 Initial training for teachers 1 day Onsite Yes
    Amplify ELAR Texas 6–8 Initial training for teachers 2 half days Remote Yes
    Amplify ELAR Texas 6–8 Initial training for instructional leaders Half day Onsite/Remote Yes
    Amplify ELAR Texas 6–8 Getting started package Sess 1: 90 min.
    Sess 2: 60 min.
    Sess 3: 60 min.
    Remote Yes
    Strengthen
    Amplify ELAR Texas 6–8 Enhancing observations for leaders
    Half day Onsite/Remote 09/01/22
    Amplify ELAR Texas 6–8 Enhancing planning and practice Half day Onsite/Remote Yes
    Amplify ELAR Texas 6–8 Analytic reading Half day Onsite/Remote Yes
    Amplify ELAR Texas 6–8 Supporting all learners Half day Onsite/Remote Yes
    Amplify ELAR Texas 6–8 Data-informed instruction Half day Onsite/Remote Yes
    Amplify ELAR Texas 6–8 Strengthening consultation package 3 1-hour sessions Remote Yes
    Amplify ELAR Texas 6–8 Strengthening consultation session 1 hour Remote Yes
    Coach
    Amplify ELAR Texas 6–8 Coaching sessions 2 days consecutive Onsite Yes
    Amplify ELAR Texas 6–8 Coaching sessions
    1 day Onsite/Remote Yes
    Half day Onsite/Remote Yes

    Launch

    Amplify ELAR Texas 6–8 Comprehensive initial training for teachers

    2 days consecutive (6 hours per day, 12 hours total)

    Prepare to implement and support Amplify ELAR Texas instruction in your schools! Learn how Amplify ELAR Texas supports students through rigorous and engaging instruction. Participants will navigate the Amplify ELAR Texas platform, learn to give feedback on student work, and explore how to use the embedded supports and the Reporting app to monitor student progress. Participants will engage in multiple opportunities to practice components of Amplify ELAR Texas and leave confident to begin teaching.

    Audience: Teachers and coaches, maximum 30 participants
    Modality: Onsite

    Amplify ELAR Texas 6–8 Initial training for teachers

    1 day (6 hours)

    Prepare to implement and support Amplify ELAR Texas instruction in your schools! Learn how Amplify ELAR Texas supports students through rigorous and engaging instruction. Participants will navigate the Amplify ELAR Texas platform, learn to give feedback on student work, and explore how to use the embedded supports and the Reporting app to monitor student progress. Participants will leave with an action plan to begin teaching Amplify ELAR Texas.

    Audience: Teachers and coaches, maximum 30 participants
    Modality: Onsite

    Amplify ELAR Texas 6–8 Initial training for teachers

    2 half days (3 hours per day, 6 hours total)

    This full day initial training session (6 hours) is split into two half-day sessions (3 hours each). Part 1 and Part 2 may be scheduled consecutively on the same day or on different days, ideally within ~2 weeks. The same participants should attend both sessions in order to receive all content about key components of Amplify ELAR Texas, which includes learning how to navigate, teach, and monitor student progress.

    Audience: Teachers and coaches, maximum 30 participants
    Modality: Remote

    Amplify ELAR Texas 6–8 Initial training for instructional leaders

    Half day (3 hours)

    This training will provide district and school-level instructional leaders with an overview of Amplify ELAR Texas so that they can support their staff in implementing Amplify. Learn basic navigation and gain an understanding of Amplify’s approach to reading, writing, and language instruction. Participants will then have the opportunity to choose how to best support teachers by either developing a school-wide implementation plan or learning strategies for effective classroom observations.

    Audience: Ideal for instructional leaders, principals, and district staff who oversee the implementation of the new curriculum, maximum 30 participants
    Modality: Onsite/Remote

    Amplify ELAR Texas 6–8 Getting started package

    Participants will review the foundational elements of the program, including the structure of materials, and engage in a structured planning process. This 90 minute consultation session will focus on the upcoming unit participants are preparing to teach. This package includes 90 minutes of remote PD and two 60 minute follow-up remote sessions.

    Audience: Teachers, coaches, and/or instructional leaders, maximum 30 participants
    Modality: Remote

    Strengthen

    Amplify ELAR Texas 6–8 Enhancing observations for leaders

    Half day (3 hours)

    Prerequisite Training: Initial training for leaders

    Elevate your program knowledge to support colleagues with effective ELAR implementation! Practice analyzing Amplify ELAR Texas lessons and identify key instructional elements and next steps. Participants will be prepared to analyze data and enhance classroom observations.

    Audience: Ideal for instructional leaders, principals, and district staff who oversee the implementation of the new curriculum, maximum 30 participants
    Modality: Onsite/Remote

    Amplify ELAR Texas 6–8 Enhancing planning and practice

    Half day (3 hours)

    Dig into one unit to unpack standards, assessments, and student engagement. Through backward planning, this session guides teachers to think deeply about learning outcomes and key moments of formative assessments. Teachers will leave this session with a detailed plan of a unit of their choice, that includes learning outcomes, key assessment moments, and aligned instructional strategies.

    Audience: Ideal for new or experienced Amplify ELAR Texas teachers or coaches, maximum 30 participants
    Modality: Onsite/Remote

    Amplify ELAR Texas 6–8 Analytic Reading

    Half day (3 hours)

    Participants will learn how analytic reading functions in Amplify ELAR Texas and which teacher moves support students as they tackle complex texts. Participants will learn how to facilitate a close reading session to support key reading routines and promote academic discourse and the type of collaboration that drives analysis and deepens understanding.

    Audience: Ideal for new or experienced Amplify ELAR Texas teachers, maximum 30 participants
    Modality: Onsite/Remote

    Amplify ELAR Texas 6–8 Supporting all learners

    Half day (3 hours)

    Participants will learn how to effectively use embedded and differentiated supports and the Classwork app to support all students, including English language learners (ELL), students with learning disabilities, struggling readers, and writers, and advanced students.

    Audience: Ideal for new teachers or instructional leaders who want to learn more about included supports in Amplify ELAR Texas, maximum 30 participants
    Modality: Onsite/Remote

    Amplify ELAR Texas 6–8 Data-informed instruction

    Half day (3 hours)

    Prerequisite: 4–6 weeks of student data in Amplify’s Reporting app. It is recommended that teachers are in at least Unit B.

    Participants will review their own student data using the Reporting and Classwork apps and align embedded supports to specific student needs. The goal of this session is to become proficient in turning Amplify ELAR Texas data into differentiated and targeted instruction. Note: This course can be combined with the Supporting All Learners session to make a full day of training.

    Audience: Ideal for teachers or support staff who want to learn how to use student data to inform instruction and provide differentiation, maximum 30 participants
    Modality: Onsite/Remote

    Amplify ELAR Texas 6–8 Strengthening consultation session


    1 hour

    This 60-minute session will focus on a specific topic that will deepen educators” understanding in Amplify ELAR Texas and equip them with the tools needed to drive stronger student outcomes. An Amplify facilitator will align with the school or district leadership team in advance of the session on the topic (chosen from a menu of options) that will best meet educators unique needs. The menu includes sessions on engagement, pacing, and grading/assessment.

    Audience: Teachers and coaches, maximum 30 participants
    Modality: Remote

    Amplify ELAR Texas 6–8 Strengthening consultation package

    3 1-hour sessions

    This package consists of three 60-minute sessions that can be delivered on the same day or on different days. Each session will focus on a specific topic that will deepen educators’ understanding in ELA and equip them with the tools needed to drive stronger student outcomes. An Amplify facilitator will align with the school or district leadership team in advance of the session on the topic (chosen from a menu of options) that will best meet educators’ unique needs. The menu includes sessions on engagement, pacing, and grading/assessment.

    Audience: Teachers and coaches, maximum 30 participants
    Modality: Remote

    Coach

    Amplify ELAR Texas 6–8 Coaching session

    2 days consecutive (6 hours per day, 12 total)

    Strengthen your implementation of Amplify ELAR Texas with an onsite Coaching visit for your teachers and/or leaders. Participants can choose from a variety of topics that include, but are not limited to: lesson modeling and debrief (conducted by an Amplify coach), grade-level planning, classroom observations, and leadership consultation. The flexible onsite coaching design allows for a collaborative approach to support effective program implementation.

    Audience: Teachers, coaches, and/or instructional leaders, maximum 30 participants
    Modality: Onsite

    Amplify ELAR Texas 6–8 Coaching session

    1 day (6 hours)

    Strengthen your implementation of Amplify ELAR Texas with an onsite Coaching visit for your teachers and/or leaders. Participants can choose from a variety of topics that include, but are not limited to: lesson modeling and debrief (conducted by an Amplify coach), grade-level planning, classroom observations, and leadership consultation. The flexible onsite coaching design allows for a collaborative approach to support effective program implementation.

    Audience: Teachers, coaches, and/or instructional leaders, maximum 30 participants
    Modality: Onsite/Remote

    Amplify ELAR Texas 6–8 Coaching session

    Half day (3 hours)

    Strengthen your implementation of Amplify ELAR Texas with a Coaching session for your teachers and/or leaders. Participants can choose from a variety of topics that include, but are not limited to lesson modeling and debrief (conducted by an Amplify coach), grade-level planning, classroom observations, and leadership consultation. The flexible coaching design allows for a collaborative approach to supporting effective program implementation.

    Audience: Teachers, coaches, and/or instructional leaders, maximum 30 participants
    Modality: Onsite/Remote

    Pricing

    We offer the following pricing for training sessions and packages:

    Session type Pricing
    2-day onsite session $4,800
    1-day onsite session $3,200
    1-day remote session (2 half days remote) $1,500
    Half-day onsite session $2,500
    Half-day remote session $750
    1-hour remote session $350
    Remote getting started package $1,000
    3 1-hour remote sessions $1,000

    Please note that the prices are general ranges and may be subject to change.

    Contact

    Amplify welcomes the opportunity to partner with schools and districts to design professional development plans and answer your questions.

    If you would like to order any of our professional development services, please contact your local Amplify sales representative or call (800) 823-1969.

    Amplify Texas, K–5

    Built on a systematic scope and sequence, Amplify Texas, K–5 programs offer the explicit instruction needed in today’s classrooms. Amplify Texas includes both English and Spanish curriculums. The print version of the English curriculum is titled Amplify Texas ELAR (English Language Arts and Reading). The digital version of the English curriculum is titled Amplify Texas Elementary Literacy Program. The print version of the Spanish curriculum is titled Amplify Texas SLAR (Spanish Language Arts and Reading). The digital version of the Spanish curriculum is titled Amplify Texas Lectoescritura.

    We’ve created a wide suite of professional development offerings that will help you meet your unique needs this school year. Find out more below!

    Professional Learning Partner Guide Certified Provider

    Amplify CKLA, ELA, and Science professional development has been vetted by Rivet Education’s team through a rigorous three-step process and is listed in the Professional Learning Partner Guide.

    Teacher observes student completing activity

    Plan your professional development

    We’re excited to partner with you on your Amplify journey. Flexible professional development pathways have been designed to meet your needs.

    Illustration of three educational phases: a teacher launches a rocket, another reads a book, and four individuals discuss in a meeting setting.

    Recommended Professional Development Plan

    Our team has curated a recommended professional learning path from initial launch to continuous support. Use the Professional Development Planning Guide below to discuss the plan that best meets your school or district needs with your Account Executive.

    ELAR

    SLAR

    Session overview

    Recommended sessions are highlighted below.
    Audience Title Duration Modality Available
    Launch
    K–5 instructional leaders Amplify Texas Elementary Literacy Program (digital) and ELAR (print) initial training Half day Onsite/Remote Yes
    K–2 teachers Amplify Texas Elementary Literacy Program (digital) and ELAR (print) initial training 1 day Onsite Yes
    K–2 teachers Amplify Texas Elementary Literacy Program (digital) and ELAR (print) initial training
    2 half days
    Remote Yes
    Amplify Texas Elementary Literacy Program (digital) and ELAR (print) program overview Half day Onsite/Remote 5/1/22
    Amplify Texas Elementary Literacy Program (digital) and ELAR (print) Skills Strand initial training 1 day onsite
    or 2 half days
    remote
    Onsite/Remote Yes
    Amplify Texas Elementary Literacy Program (digital) and ELAR (print) Skills Strand program overview Half day Onsite/Remote 5/1/22
    Amplify Texas Elementary Literacy Program (digital) Knowledge Strand initial training 1 day onsite
    or 2 half days
    remote
    Onsite/Remote Yes
    Amplify Texas Elementary Literacy Program (digital) Knowledge Strand program overview Half day Onsite/Remote 5/1/22
    K–2 teachers Amplify Texas Lectoescritura (digital) and SLAR (print) initial training 1 day onsite or 2 half days remote Onsite/Remote 5/1/22
    K–2 teachers Amplify Texas Lectoescritura (digital) and SLAR (print) program overview Half day Onsite/Remote 5/1/22
    Amplify Texas Lectoescritura (digital) and SLAR (print) Skills Strand (Habilidades y destrezas) initial training 1 day onsite or 2 half days remote Onsite/Remote 5/1/22 
    Amplify Texas Lectoescritura (digital) and SLAR (print) Skills Strand (Habilidades y destrezas) program overview Half day Onsite/Remote  10/1/22 
    Amplify Texas Lectoescritura (digital) and SLAR (print) Skills Strand (Conocimiento) initial training 1 day onsite or 2 half days remote Onsite/Remote Yes
    Amplify Texas Lectoescritura (digital) and SLAR (print) Skills Strand (Conocimiento) program overview  Half day Onsite/Remote  5/1/22 
    3–5 teachers Amplify Texas Elementary Literacy program (digital) and ELAR (print) initial training 1 day or 2 half days remote Onsite/Remote Yes
    3–5 teachers Amplify Texas Elementary Literacy program (digital) and ELAR (print) program overview Half day Onsite/Remote 5/1/22
    3–5 teachers Amplify Texas Lectoescritura (digital) and SLAR (print) initial training 1 day onsite or 2 half days remote Onsite/Remote Yes
    3–5 teachers Amplify Texas Lectoescritura (digital) and SLAR (print) program overview Half day Onsite/Remote 5/1/22
    Strengthen
    K–5 leaders Amplify Texas ELAR enhancing observations for leaders Half day Onsite/Remote 9/1/22
    K–2 teachers
     
     
     
    Amplify Texas ELAR enhancing planning & practice for K–2 teachers Half day Onsite/Remote Yes
    K–2 teachers Amplify Texas ELAR writing for K–2 teachers Half day Onsite/Remote Yes
    Amplify Texas SLAR enhancing planning & practice for K–2 teachers 1 day onsite
    or 2 half days
    remote
    Onsite/Remote Yes
    Amplify Texas SLAR writing for K–2 teachers Half day Onsite/Remote 12/1/22
    3–5 teachers Amplify Texas ELAR enhancing planning & practice for 3–5 teachers Half day Onsite/Remote  Yes
    3–5 teachers Amplify Texas ELAR writing for 3–5 teachers Half day Onsite/Remote Yes
    Amplify Texas SLAR enhancing planning & practice for 3–5 teachers Half day Onsite/Remote Yes
    Amplify Texas SLAR writing for 3–5 teachers Half day Onsite/Remote 12/1/22
    K–5 teachers



    Amplify Texas ELAR enhancing planning & instruction for English language learners Half day Onsite/Remote 9/1/22
    Amplify Texas ELAR enhancing planning & instruction for students with special needs
    Half day Onsite/Remote 9/1/22
    Amplify Texas ELAR Strengthening consultation session 1 hour or 3 1-hour sessions Remote 2/1/22
    Amplify Texas SLAR Strengthening consultation session 1 hour or 3 1-hour sessions Remote 2/1/22
    Coaching sessions

    K–5 educators (leaders, principals, coaches, and teachers)

    Amplify Texas ELAR Coaching session 2 days consecutive Onsite Yes 
    K–5 educators (leaders, principals, coaches, and teachers)




    Amplify Texas ELAR Coaching session 1 day onsite or 2 half days remote
     
    Onsite/Remote Yes
    Amplify Texas ELAR Coaching session Half day Remote

    Yes

     

    Amplify Texas SLAR Coaching session 2 days consecutive Onsite Yes
    Amplify Texas SLAR Coaching session 1 day onsite
    or 2 half days
    remote
    Onsite/Remote Yes
    Amplify Texas SLAR Coaching session Half day Remote Yes

    Launch

    K–5 instructional leaders

    Amplify Texas Elementary Literacy Program (digital) and ELAR (print) initial training for K–5 instructional leaders

    Half day (3 hours)

    Prepare to implement and support Amplify Texas instruction in your schools! Learn how Amplify Texas supports students as they build literacy skills in the early grades and move among reading, writing, speaking and listening, and language activities in the upper grades. Understand the purpose of the Amplify Texas program (Skills, Knowledge, and Integrated Strands) and identify components of the Amplify Texas design principles within lessons. Participants will begin creating an action plan to support communication and change management related to Amplify Texas to staff, parents, and other stakeholders.

    Audience: Instructional leaders (principals and coaches), maximum 30 participants
    Modality: Onsite/Remote

    K–2 teachers

    Amplify Texas Elementary Literacy Program (digital) and ELAR (print) initial training for K–2 teachers

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    Prepare to implement the Amplify Texas K–2 program in your classroom! Learn the foundational elements of Amplify Texas, including the structure of materials, key lesson elements, and how to deliver specific lesson types successfully.

    Audience: Teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas Elementary Literacy Program (digital) and ELAR (print) program overview for K–2 teachers

    Half day (3 hours)

    Prepare to implement the Amplify Texas K–2 program in your classroom! Learn the foundational elements of the curriculum, including the structure of materials, key lesson elements, and how to deliver specific lesson types successfully.

    Audience: Teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas Elementary Literacy Program (digital) and ELAR (print) Skills Strand initial training for K–2 teachers

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    Prepare to implement the Amplify Texas Skills Strand program in your classroom! Learn the foundational elements of Amplify Texas, including the structure of materials, key lesson elements, and how to deliver specific lesson types successfully. Participants will begin planning for the first unit and lessons.

    Audience: Teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas Elementary Literacy Program (digital) and ELAR (print) Skills Strand program overview for K–2 teachers

    Half day (3 hours)

    Prepare to implement the Amplify Texas Skills Strand in your classroom! Learn the foundational elements of the curriculum, including the structure of materials, key lesson elements, and how to deliver specific lesson types successfully.

    Audience: Teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas Elementary Literacy Program (digital) and ELAR (print) Knowledge Strand initial training for K–2 teachers

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    Prepare to implement the Amplify Texas Knowledge Strand program in your classroom! Learn the foundational elements of Amplify Texas, including the structure of materials, key lesson elements, and how to deliver specific lesson types successfully. Participants will begin planning for the first unit and lessons.

    Audience: Teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas Elementary Literacy Program (digital) and ELAR (print) Knowledge Strand program overview for K–2 teachers

    Half day (3 hours)

    Prepare to implement the Amplify Texas Knowledge Strand in your classroom! Learn the foundational elements of the curriculum, including the structure of materials, key lesson elements, and how to deliver specific lesson types successfully.

    Audience: Teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas Lectoescritura (digital) and SLAR (print) initial training for K–2 teachers

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    Prepare to implement Amplify Texas program in your classroom! Learn the foundational elements of Amplify Texas, including the structure of materials, key lesson elements, and how to deliver specific lesson types successfully. Participants will begin planning for the first unit and lessons.

    Audience: Teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas Elementary Lectoescritura (digital) and SLAR (print) program overview for K–2 teachers

    Half day (3 hours)

    Prepare to implement Amplify Texas in your classroom! Learn the foundational elements of the curriculum, including the structure of materials, key lesson elements, and how to deliver specific lesson types successfully.

    Audience: Teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas Lectoescritura (digital) and SLAR (print) Skills Strand (Habilidades y destrezas) initial training for K–2 teachers

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    Prepare to implement Amplify Texas Skills Strand (Habilidades y destrezas) program in your classroom! Learn the foundational elements of Amplify Texas, including the structure of materials, key lesson elements, and how to deliver specific lesson types successfully. Participants will begin planning for the first unit and lessons.

    Audience: Teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas Elementary Lectoescritura (digital) and SLAR (print) Skills Strand (Habilidades y destrezas) program overview for K–2 teachers

    Half day (3 hours)

    Prepare to implement Amplify Texas Skills Strand (Habilidades y destrezas) in your classroom! Learn the foundational elements of the curriculum, including the structure of materials, key lesson elements, and how to deliver specific lesson types successfully.

    Audience: Teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas Lectoescritura (digital) and SLAR (print) Knowledge Strand (Conocimiento) initial training for K–2 teachers

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    Prepare to implement Amplify Texas Knowledge Strand (Conocimiento) program in your classroom! Learn the foundational elements of Amplify Texas, including the structure of materials, key lesson elements, and how to deliver specific lesson types successfully. Participants will begin planning for the first unit and lessons.

    Audience: Teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas Elementary Lectoescritura (digital) and SLAR (print) Knowledge Strand (Conocimiento) program overview for K–2 teachers

    Half day (3 hours)

    Prepare to implement Amplify Texas Knowledge Strand (Conocimiento) in your classroom! Learn the foundational elements of the curriculum, including the structure of materials, key lesson elements, and how to deliver specific lesson types successfully.

    Audience: Teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    3-5 Teachers

    Amplify Texas Elementary Literacy Program (digital) and ELAR (print) initial training for 3–5 teachers

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    Prepare to implement the Amplify Texas 3–5 program in your classroom! Learn the foundational elements of Amplify Texas, including the structure of materials, key lesson elements, and how to deliver specific lesson types successfully.

    Audience: Teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas Elementary Literacy Program (digital) and ELAR (print) program overview for 3–5 teachers

    Half day (3 hours)

    Prepare to implement the Amplify Texas 3–5 program in your classroom! Learn the foundational elements of the curriculum, including the structure of materials, key lesson elements, and how to deliver specific lesson types successfully.

    Audience: Teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas Lectoescritura (digital) and SLAR (print) initial training for 3–5 teachers

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    Prepare to implement the Amplify Texas 3–5 program in your classroom! Learn the foundational elements of Amplify Texas, including the structure of materials, key lesson elements, and how to deliver specific lesson types successfully.

    Audience: Teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas Lectoescritura (digital) and SLAR (print) program overview for 3–5 teachers

    Half day (3 hours)

    Prepare to implement the Amplify Texas 3–5 program in your classroom! Learn the foundational elements of the curriculum, including the structure of materials, key lesson elements, and how to deliver specific lesson types successfully.

    Audience: Teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Strengthen

    K–5 leaders

    Amplify Texas ELAR enhancing observations for K–5 leaders

    Half day (3 hours)
    Prerequisite training: Initial training for instructional leaders

    Elevate program knowledge to support colleagues with effective Amplify Texas implementation! Practice analyzing Amplify Texas lessons and identify key instructional elements and next steps. Participants will be prepared to collect data and enhance classroom observations.

    Audience: Instructional leaders (principals and coaches), maximum 30 participants
    Modality: Onsite/Remote

    K–2 teachers

    Amplify Texas ELAR enhancing planning & practice for K–2 teachers

    Half day (3 hours)
    Prerequisite training: Initial training for K–2 teachers

    Elevate program knowledge to strengthen your Amplify Texas K–2 implementation! Understand the progression of foundational skills and focus on high-quality questioning and discussion techniques through lesson study and practice. Participants will practice implementing key instructional elements and leave with annotated lessons.

    Audience: K–2 teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas ELAR writing for K–2 teachers

    Half day (3 hours)
    Prerequisite training: Initial training for K–2 teachers and 2–3 months of Amplify Texas instruction

    Dig into Amplify Texas writing instruction and student work in grades K–2! Identify writing opportunities in the Amplify Texas Skills and Knowledge Strand through analysis of a unit and daily lessons and analyze student writing using a program-aligned rubric. Participants will leave with an annotated unit highlighting the writing opportunities and student grouping suggestions.

    Audience: K–2 teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas SLAR enhancing planning & practice for K–2 teachers

    Half day (3 hours)
    Prerequisite training: Initial training for K–2 teachers

    Elevate program knowledge to strengthen your Amplify Texas K–2 implementation! Understand the progression of foundational skills and focus on high-quality questioning and discussion techniques through lesson study and practice. Participants will practice implementing key instructional elements and leave with annotated lessons.

    Audience: K–2 teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas SLAR writing for K–2 teachers

    Half day (3 hours)
    Prerequisite training: Initial training for K–2 teachers and 2–3 months of Amplify Texas instruction

    Dig into Amplify Texas writing instruction and student work in grades K–2! Identify writing opportunities in the Amplify Texas curriculum through analysis of a unit and daily lessons and analyze student writing using a program-aligned rubric. Participants will leave with an annotated unit highlighting the writing opportunities and student grouping suggestions.

    Audience: K–2 teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    3–5 teachers

    Amplify Texas ELAR enhancing planning & practice for
    3–5 teachers

    Half day (3 hours)
    Prerequisite training: Initial training for 3–5 teachers

    Elevate program knowledge to strengthen your Amplify Texas 3–5 implementation! Understand the progression of foundational skills and focus on high-quality questioning and discussion techniques through lesson study and practice. Participants will practice implementing key instructional elements and leave with annotated lessons.

    Audience: K–2 teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas ELAR writing for 3–5 teachers

    Half day (3 hours)
    Prerequisite training: Initial training for K–2 teachers and 2–3 months of Amplify Texas instruction

    Dig into Amplify Texas writing instruction and student work in grades 3–5! Identify writing opportunities in the Amplify Texas curriculum through analysis of a unit and daily lessons and analyze student writing using a program-aligned rubric. Participants will leave with an annotated unit highlighting the writing opportunities and student grouping suggestions.

    Audience: K–2 teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas SLAR enhancing planning & practice for
    3–5 teachers

    Half day (3 hours)
    Prerequisite training: Initial training for 3–5 teachers

    Elevate program knowledge to strengthen your Amplify Texas 3–5 implementation! Understand the progression of foundational skills and focus on high-quality questioning and discussion techniques through lesson study and practice. Participants will practice implementing key instructional elements and leave with annotated lessons.

    Audience: K–2 teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas SLAR writing for 3–5 teachers

    Half day (3 hours)
    Prerequisite training: Initial training for K–2 teachers and 2–3 months of Amplify Texas instruction

    Dig into Amplify Texas writing instruction and student work in grades 3–5! Identify writing opportunities in the Amplify Texas curriculum through analysis of a unit and daily lessons and analyze student writing using a program-aligned rubric. Participants will leave with an annotated unit highlighting the writing opportunities and student grouping suggestions.

    Audience: K–2 teachers (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    K–5 teachers

    Amplify Texas ELAR enhancing planning & instruction for English language learners for K–5 teachers

    Half day (3 hours)

    Prerequisite training: Initial training

    Develop a strong understanding of how to support English language learners (ELLs) with Amplify Texas instruction! Identify program-embedded instructional supports and strategies for ELL students of varying proficiency levels and plan how to adjust instruction based on formative check points. Participants will begin to develop a plan for using program supports and strategies for ELL instruction.

    Audience: K–5 classroom teachers and ELL specialists (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas enhancing planning & instruction for students with special needs for K–5 teachers

    Half day (3 hours)

    Develop a strong understanding of how to support students with special needs! Identify program-embedded instructional supports and strategies for students with special needs, including connections to IEP goals, and plan how to adjust instruction. Participants will leave with an accommodation plan aligned to Amplify Texas instruction and IEP goals.

    Audience: K–5 classroom teachers and special education specialists (instructional leaders welcome), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas ELAR Strengthening consultation session

    1 hour or 3 1-hour sessions

    These 60-minute sessions will focus on a specific topic that will deepen educators’ understanding of Amplify Texas and equip them with the support they need to drive toward stronger student outcomes. An Amplify facilitator will align with the school or district leadership team in advance of the session on the topic (chosen from a menu of options) that will best meet educators’ unique needs. The menu includes sessions on engagement, pacing, and supporting all learners.

    Audience: K–5 classroom teachers (instructional leaders welcome), maximum 30 participants
    Modality: Remote

    Amplify Texas SLAR Strengthening consultation session

    1 hour or 3 1-hour sessions

    These 60-minute sessions will focus on a specific topic that will deepen educators’ understanding of Amplify Texas and equip them with the support they need to drive toward stronger student outcomes. An Amplify facilitator will align with the school or district leadership team in advance of the session on the topic (chosen from a menu of options) that will best meet educators’ unique needs. The menu includes sessions on engagement, pacing, and supporting all learners.

    Audience: K–5 classroom teachers (instructional leaders welcome), maximum 30 participants
    Modality: Remote

    Coach

    K–5 educators (leaders, principals, coaches, teachers)

    Amplify Texas ELAR Coaching for K–5 educators

    2 days consecutive (6 hours per day, 12 total)

    Prerequisite training: Initial training

    Strengthen your implementation of Amplify Texas with a Coaching onsite visit for your teachers and/or leaders! An Amplify facilitator will visit 1–4 school sites for two days. Participants can choose from a variety of topics that include, but are not limited to: lesson modeling (conducted by an Amplify Texas facilitator) and debriefing, grade-level planning, classroom observations, and leadership consultation. The flexible onsite coaching design allows for a collaborative approach to support effective program implementation.

    Audience: Teachers and/or instructional leaders (principals and coaches), maximum 30 participants
    Modality: Onsite

    Amplify Texas ELAR Coaching for K–5 educators

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    Prerequisite training: Initial training

    Strengthen your implementation of Amplify Texas with a Coaching onsite visit for your teachers and/or leaders! An Amplify facilitator will visit 1–2 school sites for one day. Participants can choose from a variety of topics that include, but are not limited to: lesson modeling (conducted by an Amplify Texas facilitator) and debriefing, grade-level planning, classroom observations, and leadership consultation. The flexible onsite coaching design allows for a collaborative approach to support effective program implementation.

    Audience: Teachers and/or instructional leaders (principals and coaches), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas ELAR Coaching for K–5 educators

    Half day (3 hours)

    Prerequisite training: Initial training

    Strengthen your implementation of Amplify Texas with a Coaching onsite visit for your teachers and/or leaders! An Amplify facilitator will virtually visit for a half day. Participants can choose from a variety of topics that include, but are not limited to: lesson modeling (conducted by an Amplify Texas facilitator) and debriefing, grade-level planning, classroom observations, and leadership consultation.

    Audience: Teachers and/or instructional leaders (principals and coaches)
    Modality: Remote

    Amplify Texas SLAR Coaching for K–5 educators

    2 days consecutive (6 hours per day, 12 total)

    Prerequisite training: Initial training

    Strengthen your implementation of Amplify Texas with a Coaching onsite visit for your teachers and/or leaders! An Amplify facilitator will visit 1–4 school sites for two days. Participants can choose from a variety of topics that include, but are not limited to: lesson modeling (conducted by an Amplify Texas facilitator) and debriefing, grade-level planning, classroom observations, and leadership consultation. The flexible onsite coaching design allows for a collaborative approach to support effective program implementation.

    Audience: Teachers and/or instructional leaders (principals and coaches), maximum 30 participants
    Modality: Onsite

    Amplify Texas SLAR Coaching for K–5 educators

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    Prerequisite training: Initial training

    Strengthen your implementation of Amplify Texas with a Coaching onsite visit for your teachers and/or leaders! An Amplify facilitator will visit 1–2 school sites for one day. Participants can choose from a variety of topics that include, but are not limited to: lesson modeling (conducted by an Amplify Texas facilitator) and debriefing, grade-level planning, classroom observations, and leadership consultation. The flexible onsite coaching design allows for a collaborative approach to support effective program implementation.

    Audience: Teachers and/or instructional leaders (principals and coaches), maximum 30 participants
    Modality: Onsite/Remote

    Amplify Texas SLAR Coaching for K–5 educators

    Half day (3 hours)

    Prerequisite training: Initial training

    Strengthen your implementation of Amplify Texas with a Coaching onsite visit for your teachers and/or leaders! An Amplify facilitator will virtually visit for a half day. Participants can choose from a variety of topics that include, but are not limited to: lesson modeling (conducted by an Amplify Texas facilitator) and debriefing, grade-level planning, classroom observations, and leadership consultation.

    Audience: Teachers and/or instructional leaders (principals and coaches)
    Modality: Remote

    Pricing

    We offer the following pricing for training sessions and packages:

    Session typePricing
    2-day onsite session$4,800
    1-day onsite session$3,200
    1-day remote session$1,200
    Half day onsite session$2,500
    Half day remote session$750
    1-hour Strengthening consultation session$350
    3 1-hour Strengthening consultation sessions$1000
    Customized onsite or remote sessionPrice will vary

    Please note that the prices are general ranges and may be subject to change.

    Contact

    Amplify welcomes the opportunity to partner with schools and districts to design professional development plans and answer your questions.

    If you would like to order any of our professional development services, please contact your local Amplify sales representative or call (800) 823-1969.

    Plan your professional development

    We’re excited to partner with you on your Amplify journey. Flexible professional development pathways have been designed to meet your needs.

    Illustration of three educational phases: a teacher launches a rocket, another reads a book, and four individuals discuss in a meeting setting.

    Recommended Professional Development Plan

    Our team has curated a recommended professional learning path from initial launch to continuous support. Use the Professional Development Planning Guide below to discuss the plan that best meets your school or district needs with your Account Executive.

    Sessions overview

    Recommended sessions are highlighted below.
    AudienceTitleDurationModality
    mCLASS Texas Edition Launch
    All mCLASS Texas Edition customersInitial training2 half days or self-pacedRemote/Online course
    New mCLASS Texas Edition customersInitial training1 dayOnsite
    Initial training: Train the Trainer1 day onsite or 2 half days remoteOnsite/Remote
    New mCLASS Texas Edition customers with limited time for PDmCLASS program overview, English measures onlyHalf dayOnsite/Remote
    mCLASS program overview, Spanish measures onlyHalf dayOnsite/Remote
    Experienced mCLASS Texas Edition customersRefresher trainingHalf dayOnsite/Remote
    mCLASS Texas Edition and Amplify Reading Launch
    New mCLASS Texas Edition and Amplify Reading customersInitial training with Amplify Reading overview1 day onsite or 2 half days remoteOnsite/Remote
    Initial training with Amplify Reading overview: Train the Trainer1 day onsite or 2 half days remoteOnsite/Remote
    mCLASS Texas Edition and TRC Launch
    New mCLASS Texas Edition and TRC customersInitial training with TRC overview1 day onsite or 2 half days remoteOnsite/Remote
    Initial training with TRC overview: Train the Trainer1 day onsite or 2 half days remoteOnsite/Remote
    Experienced mCLASS Texas Edition customersTRC initial trainingHalf dayOnsite/Remote
    TRC initial training: Train the TrainerHalf dayOnsite/Remote
    mCLASS Express Launch
    New mCLASS Express customersInitial trainingHalf dayOnsite/Remote
    Initial trainingSelf-pacedOnline course
    mCLASS Texas Edition Strengthen
    All mCLASS Texas Edition customers with limited time for PDUnderstanding your classroom dataHalf dayOnsite/Remote
    All mCLASS Texas Edition customersClassroom data analysis and instructional planning1 day Onsite
    All mCLASS Texas Edition customersClassroom data analysis and instructional planning 2 half daysRemote
    Classroom data analysis and instructional planning: Train the Trainer1 day onsite or 2 half days remoteOnsite/Remote
    Classroom data analysis and instructional planningSelf-pacedOnline
    All mCLASS Texas Edition customersData-driven leadership practices1 day onsiteOnsite
    All mCLASS Texas Edition customersData-driven leadership practices 2 half daysRemote
    Data-driven leadership practices: Train the Trainer1 day onsite or 2 half days remoteOnsite/Remote
    Data-driven leadership practicesSelf-pacedOnline
    Understanding your school or district dataHalf dayOnsite/Remote
    Strengthening consultation session1-hour sessionRemote
    All mCLASS Texas Edition customersStrengthening consultation session package3 1-hour sessionsRemote
    mCLASS Texas Edition Coach
    All mCLASS Texas Edition customersCoaching session1 dayOnsite
    All mCLASS Texas Edition customersCoaching sessionHalf dayOnsite/Remote

    Launch

    mCLASS Texas Edition

    Initial training

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to implement the assessment, collect reliable data using standardized guidelines, and use the targeted lessons available on mCLASS to drive differentiated instruction.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Initial training: Train the Trainer

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to implement the assessment, collect reliable data using standardized guidelines, and use the targeted lessons available on mCLASS to drive differentiated instruction. Participants receive annotated session materials to turnkey the session to colleagues.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    mCLASS program overview, English measures only

    Half day (3 hours)

    This PD prepares participants to implement the English measures of the mCLASS Texas assessment and collect reliable data using standardized guidelines. Only English measures are covered in this half-day training.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    mCLASS program overview, Spanish measures only

    Half day (3 hours)

    This PD prepares participants to implement the Spanish measures of the mCLASS Texas assessment and collect reliable data using standardized guidelines. Only Spanish measures are covered in this half-day training.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Refresher training

    Half day (3 hours)

    The half-day refresher training is designed for teachers and instructional leaders who are experienced with any version of DIBELS® and/or Acadience Reading and are invested in successfully implementing mCLASS Texas Edition. This session will help educators focus on what’s new to the assessment and understand mCLASS Texas Edition’s potential to impact all students through improved measures, stronger insight into students’ instructional needs, and bolstered skills-focused lessons to support instructional planning. Upon completion of this session, participants will be prepared to implement the new assessment, collect reliable data using standardized guidelines, and use the targeted lessons available on mCLASS Texas Edition to drive differentiated instruction as part of their regular classroom practice.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    mCLASS Texas Edition and Amplify Reading

    Initial training with Amplify Reading overview

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    Take the first step in launching mCLASS Texas Edition and Amplify Reading! The initial training will help educators understand how mCLASS Texas Edition assesses the basic early literacy skills that are crucial for reading development, gain hands-on experience administering and scoring the assessment using standardized guidelines, and access the Instruction page in order to find skills-focused lessons that will support instructional planning. A high-level overview of how to get started with Amplify Reading will also be provided at the end of the training along with supplementary, on-demand resources. Upon completion of this session, participants will be prepared to implement the new assessment, collect reliable data using standardized guidelines, use the targeted lessons available on mCLASS Texas Edition to drive differentiated instruction as part of their regular classroom practice, and understand key Amplify Reading features.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Initial training with Amplify Reading overview: Train the Trainer

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    Take the first step in launching mCLASS Texas Edition and Amplify Reading! The initial training will help educators understand how mCLASS Texas Edition assesses the basic early literacy skills that are crucial for reading development, gain hands-on experience administering and scoring the assessment using standardized guidelines, and access the Instruction page in order to find skills-focused lessons that will support instructional planning. A high-level overview of how to get started with Amplify Reading will also be provided at the end of the training along with supplementary, on-demand resources. Upon completion of this session, participants will be prepared to implement the new assessment, collect reliable data using standardized guidelines, use the targeted lessons available on mCLASS Texas Edition to drive differentiated instruction as part of their regular classroom practice, and understand key Amplify Reading features. Participants receive annotated session materials to turnkey the session to colleagues.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    mCLASS Texas Edition and TRC

    Initial training with TRC overview

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    Take the first step in launching mCLASS Texas Edition and Amplify Reading! The initial training will help educators understand how mCLASS Texas Edition assesses the basic early literacy skills that are crucial for reading development, gain hands-on experience administering and scoring the assessment using standardized guidelines, and access the Instruction page in order to find skills-focused lessons that will support instructional planning. A high-level overview of how to get started with Amplify Reading will also be provided at the end of the training along with supplementary, on-demand resources. Upon completion of this session, participants will be prepared to implement the new assessment, collect reliable data using standardized guidelines, use the targeted lessons available on mCLASS Texas Edition to drive differentiated instruction as part of their regular classroom practice, and understand key Amplify Reading features.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Initial training with TRC overview: Train the Trainer

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    Take the first step in launching mCLASS Texas Edition and TRC! The initial training will help educators understand how mCLASS Texas Edition assesses the basic early literacy skills that are crucial for reading development, gain hands-on experience administering and scoring the assessment using standardized guidelines, and access the Instruction page in order to find skills-focused lessons that will support instructional planning. A high-level overview of how to get started with TRC will also be provided at the end of the training along with supplementary, on-demand resources. Upon completion of this session, participants will be prepared to implement the new assessment, collect reliable data using standardized guidelines, use the targeted lessons available on mCLASS Texas Edition to drive differentiated instruction as part of their regular classroom practice, and understand key TRC features. Participants receive annotated session materials to turnkey the session to colleagues.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    TRC initial training

    Half day (3 hours)

    Take the first step in launching TRC! The half-day initial training will help educators understand how TRC assesses the basic early literacy skills that are crucial for reading development, gain hands-on experience administering and scoring the assessment using standardized guidelines, and access the Instruction page in order to find skills-focused lessons that will support instructional planning.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Remote

    TRC initial training: Train the Trainer

    Half day (3 hours)

    Take the first step in launching TRC! The half-day initial training will help educators understand how TRC assesses the basic early literacy skills that are crucial for reading development, gain hands-on experience administering and scoring the assessment using standardized guidelines, and access the Instruction page in order to find skills-focused lessons that will support instructional planning. Participants receive annotated session materials to turnkey the session to colleagues.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Remote

    mCLASS Express

    Initial training

    Half day (3 hours)

    Take the first step in launching mCLASS Express! The half-day initial training will help educators understand how mCLASS Express’ voice-recognition scoring generates immediate instructional recommendations for students reading below grade level. Educators will also learn how to utilize the teacher portal to assign assessments, review and correct scoring, track student growth over time, and leverage the program’s activities to create an action plan for a single classroom or across classes/grades.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Remote

    Initial training

    Self-paced

    Take the first step in launching mCLASS Express! The two-hour initial training will help educators understand how mCLASS Express’ voice-recognition scoring generates immediate instructional recommendations for students reading below grade level. Educators will also learn how to utilize the teacher portal to assign assessments, review and correct scoring, track student growth over time, and leverage the program’s activities to create an action plan for a single classroom or across classes/grades. As this is a self-paced, on-demand online course, participants will be able to access the course anytime, move as quickly or as slowly as needed through different sections, and revisit the course for up to one year as a refresher in the future.

    Audience: Teachers (administrators welcome)
    Modality: Remote

    Strengthen

    Understanding your classroom data

    Half day (3 hours)

    This PD prepares participants to understand their students’ data by utilizing the reports available on mCLASS. This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    Classroom data analysis and instructional planning

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to deeply understand their students’ data and create actionable instructional plans by utilizing the reports and skills-focused lesson plans available on mCLASS.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    *This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Classroom data analysis and instructional planning: Train the Trainer

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to deeply understand their students’ data and create actionable instructional plans by utilizing the reports and skills-focused lesson plans available on mCLASS. Participants receive annotated session materials to turnkey the session to colleagues.

    Audience: Teachers (administrators welcome), maximum 30 participants
    Modality: Onsite/Remote

    *This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Classroom data analysis and instructional planning

    Self-paced

    This PD is an individual seat to our self-paced, on-demand online course that contains approximately 6 hours of training. Participants will learn how to deeply understand their students’ data and create actionable instructional plans by utilizing the reports and skills-focused lesson plans available on mCLASS. Participants will access and revisit the course anytime for up to one year as a refresher. Note: The online course focuses on the English measures only.

    Audience: Teachers (administrators welcome)
    Modality: Online

    Understanding your school or district data

    Half day (3 hours)

    This PD prepares participants to use their data in making schoolwide decisions. This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Audience: Administrators, maximum 30 participants
    Modality: Onsite/Remote

    Data-driven leadership practices

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to use their data in making schoolwide decisions and build a schoolwide culture of data-driven instruction. This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data.

    Audience: Administrators, maximum 30 participants
    Modality: Onsite/Remote

    Data-driven leadership practices: Train the Trainer

    1 day onsite (6 hours) or 2 half days remote (6 hours)

    This PD prepares participants to use their data in making schoolwide decisions and build a schoolwide culture of data-driven instruction. This session should be scheduled after the most recent benchmark window has closed so that participants can work with their own data. Participants receive annotated session materials to turnkey the session to colleagues.

    Audience: Administrators, maximum 30 participants
    Modality: Onsite/Remote

    Data driven leadership practices

    Self-paced

    This PD is an individual seat to our self-paced, on-demand online course that contains approximately 6 hours of training. Participants will learn how to use their data in making schoolwide decisions and build a schoolwide culture of data-driven instruction. Participants will access and revisit the course anytime for up to one year as a refresher. Note: The online course focuses on the English measures only.

    Audience: Administrators
    Modality: Online

    Strengthening consultation session

    60 minutes

    This 60-minute session will focus on a specific topic that will deepen educators’ understanding of mCLASS and equip them in driving towards stronger student outcomes. An Amplify facilitator will align with the school or district’s leadership team in advance on the topic from a menu of options that will best meet educators’ unique needs. Topics include progress monitoring, zones of growth, and a data walkthrough for leaders.

    Audience: Teachers and/or administrators, maximum 30 participants
    Modality: Remote

    Strengthening consultation session package

    3 hours

    This package consists of three 60-minute sessions that can be delivered on the same day or on different days. Each session will focus on a specific topic that will deepen educators’ understanding of mCLASS and equip them in driving towards stronger student outcomes. An Amplify facilitator will align with the school or district’s leadership team in advance on the topics that will best meet educators’ unique needs. Topics include progress monitoring, zones of growth, and a data walkthrough for leaders.

    Audience: Teachers and/or administrators, maximum 30 participants
    Modality: Remote

    Coach

    Coaching session

    1 day onsite (6 hours)

    This PD will deepen educators’ understanding of how to utilize mCLASS in order to accelerate data-driven student outcomes. An Amplify facilitator will visit one or two school sites for one day and work with teachers and/or leaders. Prior to the visit, the Amplify facilitator will align with each school’s leadership team on their needs and customize the visit schedule accordingly.

    Audience: Teachers and/or administrators, maximum 30 participants
    Modality: Onsite/Remote

    Coaching session

    Half day (3 hours)

    This PD is up to 3 hours of training and will deepen educators’ understanding of how to utilize mCLASS in order to accelerate data-driven student outcomes. An Amplify facilitator will visit one school site for a half-day and work with teachers and/or leaders. Prior to the visit, the Amplify facilitator will align with each school’s leadership team on their needs and customize the visit schedule accordingly.

    Audience: Teachers and/or administrators, maximum 30 participants
    Modality: Remote

    Pricing

    We offer the following pricing for training sessions and packages:

    Session typePricing
    1-day onsite session$3,200
    1-day onsite session: Train the Trainer$3,500
    2 half-day remote sessions$1,500
    2 half-day remote sessions: Train the Trainer$2,000
    Half-day onsite session$2,500
    Half-day remote session$750
    2-hour self-paced online course$20 per individual seat
    6-hour self-paced online course$49 per individual seat

    Please note that the prices are general ranges and may be subject to change.

    Contact

    Amplify welcomes the opportunity to partner with schools and districts to design professional development plans and answer your questions.

    If you would like to order any of our professional development services, please contact your local Amplify sales representative or call (800) 823-1969.

    Welcome, reviewers!

    Thank you for taking the time to review Amplify ELA for grades 6–8. With Amplify ELA, we enable teachers to foster skills through texts and develop their students’ ability to build meaning through reading. Students dive into complex texts to make observations, grapple with interesting ideas, and find relevance for themselves.

    Amplify ELA offers middle school teachers rich texts, opportunities to form better connections with their students through powerful differentiation and assessment tools, and step-by-step instructional guides and resources that save them time and simplify their days.

    Illustration of a woman with long hair and earrings, eyes closed in a serene pose, surrounded by plants and butterflies.

    Overview

    This site will allow you to experience our blended program, with access to the Amplify ELA print materials, digital curriculum, and resources to support your review. Our blended model enables teachers to design instruction based on their classroom needs and resources. Our engaging print edition highlights the many digital experiences teachers can share with students through classroom projections. Teachers can make choices about when their students use devices while providing 100-percent standards coverage and without compromising learning.

    Amplify ELA’s embedded, easy-to-find features include:

    • Full standards coverage. Standards are clearly labeled in each lesson overview, so teachers can save time planning and get back to what they love—teaching.
    • Six 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 right for everyone.
    • 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.

    Digital program

    The content and instruction in Amplify ELA’s digital program mirror the content provided in the print Teacher Edition and Student Edition, though the digital program offers more opportunity to engage students through the use of multimedia and a variety of learning apps. Teachers will find embedded apps to help with scoring, providing student feedback, and reporting on the digital platform, accessible whether students or working with devices or in print.

    Visit learning.amplify.com/ela-trial to review Amplify ELA’s digital program.

    Grade 6 print samples

    Three stacked educational book covers titled "Amplify ELA: Mysteries & Investigations" with illustrations of detective-themed elements and characters.

    6B: Mysteries & Investigations:

    Educational material cover for "the titanic collection" featuring a collage of the titanic, an iceberg, a ship's captain, and various themed illustrations.

    6F: The Titanic Collection

    Grade 7 print samples

    Grade 8 print samples

    Collage of illustrations featuring a mix of science fiction and historical figures, including a central image of a man with pointed ears and high hair. text labels include "amplify ela" and "science & science fiction".

    8C: Science & Science Fiction

    Collage of illustrations depicting various aspects of the space race, including an astronaut, a rocket in space, and mission control personnel.

    8F: The Space Race Collection

    Resources

    Welcome back to Amplify Science!

    On this page, you’ll find helpful resources, for returning educators, to support you and your students to ensure you have a successful year with Amplify. Let’s dig in.

    A woman in glasses examining a glass of water, surrounded by illustrations of scientific icons like satellites, a rocket, a telescope, moons, and clouds on an abstract orange and black background.

    Professional learning resources

    Amplify Science K-5

    When you’re ready to log in to learning.amplify.com and get started, begin by watching the navigation video for grades K–5 to familiarize you with the digital organization of materials. Visit the PD Library to learn how to find everything you need to teach with this video about navigating Amplify Science. Note: login required!

    Amplify Science 6-8

    When you are ready to log in to learning.amplify.com and get startedbegin by watching the navigation video for grades 6–8 to familiarize yourself with the digital organization of materials. Visit the PD Library to learn how to find everything you need to teach with this video about navigating Amplify Science. Note: login required!

    Program Hub

    Access self-study professional resources on our Amplify Science program hub (log-in required). Here you will find resources and videos on:

    • Remote learning resources
    • Training videos
    • Hands-on Investigation Videos

    Professional Development Library

    The Professional Development Library is a space for educators to learn more about Amplify Science through short, engaging video collections. The PD Library can be located on the Program & Apps menu when logged into the program. Watch the training videos based on your grade band to learn more about pacing, planning, and teaching Science!

    Level up learning webinars

    Level up your Amplify Science experience with our We Are Scientists webinars! We showcased expert classroom teaching strategies and offered educator tips and tricks on how to get creative with learning with your students.

    Admin tools

    Elementary school resources (grades K–5)

    For a refresher on navigating and locating resources in the digital Teacher’s Guide, access the page for new users for mini on-boarding videos.

    What’s new for 2024-25?
    Amplify Science is launching exciting new and updated features for the upcoming school year. Click here to check out improvements designed to save you time, extend your reach, and support your efforts to deliver the rigorous and riveting learning experiences your students deserve.

    Have a question? Here is where you can look to find the answer..

    Planning guides
    Planning guides for grades K–5 walk you through strategies for planning for a unit, including which resources to locate in either the print or digital Teacher’s Guide to most effectively plan:

    Additional resources
    If you’re interested in learning more about each unit’s anchor phenomena, the Student Books in each unit, and more program features, download the resources below:

    Middle school resources (grades 6–8)

    For a refresher on navigating and locating resources in the digital Teacher’s Guide, access the page for new users for mini on-boarding videos.

    What’s new for 2024-25?
    Amplify Science is launching exciting new and updated features for the upcoming school year. Click here to check out improvements designed to save you time, extend your reach, and support your efforts to deliver the rigorous and riveting learning experiences your students deserve.

    Have a question? Here is where you can look to find the answer…

    Planning guide
    Our planning guide walks you through strategies for planning for a unit, including which resources to locate in either the print or digital Teacher’s Guide to most effectively plan. Click here to download.

    Additional resources
    If you’re interested in learning more about each unit’s anchor phenomena, the Student Books in each unit, and more program features, download the resources below:

    Ready to dig a little deeper?

    Revisiting coherence flowcharts

    Take another look (or look for the first time) at the coherence flowcharts for your unit (found in the printable resources section of the unit guide).

    Sample Coherence Flowchart: First Grade: Plant and Animal Defenses

    Sample Coherence Flowchart: Fourth Grade: Energy Conversions

    Sample Coherence Flowchart: Seventh Grade: Plate Motion

    Enhance your discourse routines 

    Productive Discourse Routines

    Discourse Routines in K-5

    Using Phenomena in NGSS

    Looking for help?

    Timely technical, program, and pedagogical support
    Our technical and program support is included and available from 8 a.m. to 7 p.m. ET, 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. As a part our support, Amplify also has an Educational Support Team of former teachers and administrators who provide instructional support for every Amplify curriculum, assessment, and intervention program.

    For your most urgent questions:

    • Use our live chat within your program
    • Call our toll-free number: 1 888 850 0945

    For less urgent questions:

    Reach out to our support team at: help@amplify.com