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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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.

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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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S2-02: Developing your own teaching style: Tips from a veteran teacher.

Poster for "Science Connections" podcast with an image of Marilyn Dieppa, featuring a logo of an atom and text promoting season 2, episode 2 about veteran teaching styles.

In this episode, Eric Cross sits down with veteran educator and former Miami-Dade County Public Schools (M-DCPS) Middle School Science Teacher of the Year, Marilyn Dieppa. During the show, Marilyn shares tips for new teachers, ways to inspire students, and how she utilizes her journalism background to develop literacy skills within her science classroom. She also shares her experiences developing a robotics academy, and the VEX IQ World’s Competition. Explore more from Science Connections by visiting our main page.

Download Transcript

Marilyn Dieppa (00:01):
I think my favorite thing is their success. Whether it’s robotics, whether it’s in the classroom, that they pass a test for the first time, those are my moments of success. And that’s what makes me happy.

Eric Cross (00:15):
Marilyn Dieppa is a veteran middle-school science educator at Miami-Dade County public schools. Dieppa launched her school’s STEM Academy in 2016 and developed professional development through the STEM Transformation Institute of Florida International University. Dieppa’s coached numerous new teachers and was the 2018 Miami-Dade County public schools’ middle-school Science Teacher of the Year. In this episode, we discussed her transition from a career in journalism to the science classroom and the value of personal and professional support systems for teacher longevity. And now, please enjoy my conversation with Marilyn Dieppa.

Marilyn Dieppa (00:52):
Nice to meet you, Eric.

Eric Cross (00:53):
Nice to meet you too. Thank you for being willing to come on the podcast.

Marilyn Dieppa (00:58):
Not a problem.

Eric Cross (00:59):
So you’re out in, you’re out in Florida. In Dade County. I’m out here in San Diego. So I’m like literally on the other side of the country. Have you—were you born and raised in Florida?

Marilyn Dieppa (01:09):
I’ve been here for 40 years, so I’ve been here most of my life. Yeah. I’m Puerto Rican, but I was, you know, my young childhood, I was in New Jersey. And then when I was 15, I came down.

Eric Cross (01:23):
I looked at like your—some of your accolades, which are really impressive. The things that you’ve done for students with robotics, and all the education, or, kind of like teacher enrichment, a lot of mentoring and coaching that you do now.

Marilyn Dieppa (01:35):
I am part of leadership team for the district. I do a lot of training. I work on curriculum. I help with pacing guides to make sure that everything is based on what the state wants, what the district wants. I have done a lot for the district in the last, probably 20 years.

Eric Cross (01:52):
What got you into teaching initially? What was your…like, why middle school science? We’re like a unique group.

Marilyn Dieppa (01:57):
This is the second career choice for me. So I’ve only been doing this for 24 years. I was a journalism major and then I got married and then I had my child and I wanted to do something. My thing was that I wanted to go to Iraq. I wanted to cover the news. I have a minor in Middle Eastern culture. so there was a lot of things that were in my mind when I was young, pre-married. and after, you know, you have children, priorities kind of change. So I totally changed, pretty much had to start from scratch, with my degree, because nothing kind of transferred over from journalism to teaching. So before I actually did that, I started subbing just to see if I liked it. And I fell in love with teaching right away. And that’s how I got into it. So my degree is really in elementary.

Eric Cross (02:45):
Now, when you were subbing, you were doing elementary school.

Marilyn Dieppa (02:47):
Yes. Pretty much elementary.

Eric Cross (02:48):
How did you go from there to like, middle-school science?

Marilyn Dieppa (02:50):
My thing was writing, not necessarily math and science. But I ended up with my cooperating teacher, my CT, she was a math and science teacher. So I was put with her, and who knew that I liked science and I liked math? So I ended up with that and I infused a lot of labs. So in elementary you tend to—I think teachers are a little bit afraid of the labs, so I infused a lot of literature with my labs. I infused all my—I did it like a whole-group type thing, everything I did with my labs, I incorporated the math. I incorporated the science. I incorporated, you know, the reading with it. And from there, I just—you know, they ended up putting me in a lot of leadership roles with science. And then my principal was opening up the school where I’m at now, my former principal. And she, you know, she took me with her. And so her dissertation was in looping, on how following your students, did that really make a difference in test scores? So I was part of her like test study, and I had students that I followed for two years in a row. And she would look at data and that was part of her dissertation. So that really made a difference. So I ended up moving with my students and my first group of middle-school students, I had them for four years.

Eric Cross (04:10):
Oh, wow.

Marilyn Dieppa (04:10):
And that was—those were my children. I, like, boohooed when they left. And I ended up, you know, literally following them from fourth grade all the way to more than four years. Because it was all the way until they left eighth grade.

Eric Cross (04:21):
What did you think of that model of looping with students?

Marilyn Dieppa (04:24):
I think it’s a great model, depending on the kids that you have. I love, you know, the school that I’m at. I’m very blessed, because it’s a great school. It’s really a wonderful school. I’ve had really good relationships with students. They always come back, and they always come back when they wanna tell me that they’re in something in science, right? They’re an engineer or they’re a nurse, or they’re, you know, doctors at this point. So I’ve seen a little bit of everything with my students. And it’s very rewarding.

Eric Cross (04:52):
That’s super-exciting, right? When they come back and they’re either telling you about their college major or what career they’re in. And I like to recruit them at that point and ask them to come talk to my students. Because Google photos gives you unlimited storage, if you have a teacher account, I actually have photos of students from like 10 years ago.

Marilyn Dieppa (05:09):
Oh, wow.

Eric Cross (05:10):
And I’ll put their middle school picture next to their—and then their current picture.

Marilyn Dieppa (05:14):
Oh, that’s awesome. I’ve never done that.

Eric Cross (05:17):
Yeah. You could see, like, they could see the younger version of them.

Marilyn Dieppa (05:19):
And it’s funny because even with the STEM Academy, which I have now, I have the same group of kids for three years. So I’ve had already few groups that have gone by, and those kids come back to me, they come back to our competitions, they help out, you know, they’re very integrated with the robotics. So I’m getting those students back as well. So I’ve maintained that relationship with them as well.

Eric Cross (05:46):
How do you develop your own classroom management style? How did you figure out where your—where you fit and what works for you? What was your process like for that?

Marilyn Dieppa (05:55):
You know what I think, just by teaching, teaching them to respect. And one thing that I’ve developed that—I don’t scream in my classroom; I just talk to the kids. I have very good one-on-one communication with them. I show them respect. I treat them as an equal.

Eric Cross (06:12):
And what grade are you teaching currently?

Marilyn Dieppa (06:14):
Eighth grade. So I do science. I teach high school science. I teach comprehensive, which is like our regular students. I have kids who are inclusion. I have kids that are ESL. So I teach all, you know, dynamics of students. And then I have the academy, which is something separate. But I infuse a lot of physics and of course that they need in order for them to be competitive.

Eric Cross (06:38):
So tell me about that. What is the STEM Academy?

Marilyn Dieppa (06:40):
It is an enrichment program. So it is an advanced enrichment program, because they do follow like the math enrichment. so they have to be really good at math in order for them to be accepted into the program. So, one day we got like a grant, and we got a little robot, the VEX. I don’t know if you’re familiar with VEX. I know it’s big in California. So I was told, “Here, this is for you. See what you can do with it.” So I started with an after-school club, the following year. It kind of hit off. We went to our first little competition. The kids did really well. And then the following year, they told me, “Hey, we need an academy, make it happen.” So it’s not like I had a curriculum. I kind of do my own thing. But we do a lot of different types of things. Our big portion is the VEX, but I also do sec me, we do Future City. We do a whole bunch of competitions within the district. You know, Math Bowl. So I get my kids prepared for anything that really has to do competitive-based. I do that with those students.

Eric Cross (07:38):
What age range or which grade range?

Marilyn Dieppa (07:40):
Sixth to eighth. We have kids who stay the three years and then we have kids that after, you know, sometimes it’s more the parents that want them to be part of the engineering. but sometimes we lose kids after the first year and you know, that’s fine because we wanna really have kids who really wanna be there and are, you know, committed to it. Because there’s a lot of commitments to that program.

Eric Cross (08:01):
Those types of programs, there’s so many like outside-of-the-classroom things that you need to take care of. If you’re going to competitions, and weekends, and all those types of things. Is there a team of teachers that are doing this or is it just you?

Marilyn Dieppa (08:10):
Team of one! .

Eric Cross (08:11):
A team of one! Right? Like, yeah. And how long have you been running this yourself?

Marilyn Dieppa (08:16):
This is probably like my sixth year.

Eric Cross (08:19):
OK.

Marilyn Dieppa (08:20):
So we’ve been very successful. That program is totally inquiry. It’s totally on them. I don’t know how to use a little, you know, remote control. I don’t know how to do anything. I’m there for troubleshoot and to make sure that they’re on task, but they have been very successful because I do put everything on them. And I go, “It’s not my robot. This is your robot.” So they build everything

Eric Cross (08:40):
And that seems to be the theme, especially with, a lot of times, with science teachers. And encouraging them to say, “You don’t have to be the expert in everything.” Teachers tend to be more like risk-taking and innovative when they’re willing to like, not have to be—I don’t have to know everything in order to do something.

Marilyn Dieppa (08:54):
Exactly. So we’ve been very successful. Very proud of my students because you know, we’ve, gone to Worlds twice. We’ve qualified three times in the six years. Actually, I had two teams that went last year.

Eric Cross (09:07):
What is, what is Worlds? That sounds like a big deal.

Marilyn Dieppa (09:10):
It’s a huge thing. And it’s teams from all over the world. You can actually look it up online. It’s—from this year, there were teams, although they said China was not gonna be in there, there were actually some teams from China. There were teams from New Zealand. There were teams from South Africa, the UK, a lot of teams from, from Europe. And then there are teams from here. We are the host country. We’ve been the host country for a while. But it’s amazing. The first time we went, the first team that we were paired up with was a Russian team. So, you know, there was Google Translate and the kids—and it’s, they didn’t need to know the same language because they communicated with the robots. So it was really amazing. They work collaboratively. So it’s not like a battle box. So they work two teams together and whatever, they both get together, they both earn the same points. So it teaches leadership, and there’s so much more to it than just a robot. They have to know how to communicate, because they do get interviewed. They do online challenges. It’s so many things. It’s just—I think it’s one of the best things that our district has really invested in, because these kids are so into it, and they love it so much. For the last year and this year I have the same kids that are in the robotics. I’m also gonna be teaching them physical science. So I have to teach them that separation between what we’re doing in our science classes versus what they’re doing in the class. So there has to be a separation. So they see one side of me in this class where it’s very laid back. It’s very chill. No, no, you, you guys do it. There’s no sitting down. It’s like organized chaos, I call it all the time. But then in the classroom, it has to be a little bit more organized.

Eric Cross (10:53):
Is that something that, as far as getting the parts—like people do, like, GoFundMes and donations and Donors Choose. Can you—

Marilyn Dieppa (11:00):
We get grant money, grant money from the town of Miami Lakes, the town that I work in. So the town actually sponsors us. Without them, we could not do that. It is a very expensive activity to do. If you go online and you look up the prices, you’ll be, “Oh my gosh, goodness, it’s very expensive.” You know? But the smiles on their faces when they come back and they have those little certificates, it means nothing, you know, it’s a little piece of paper. But that, to me, to them, it means the world.

Eric Cross (11:27):
Well, teachers, if you’re looking for ways to get that stuff funded, be fearless on behalf of asking for free things for your kids. Find a local business that somewhat connects to even robotics and say, “Hey, look, I’ve got 50 kids that really want to get after it. And we need X amount of dollars so we can buy those robotics kits. We’ll put your banner up somewhere. We’ll do all these other things. But come support our students. Come to the competition. Donate whatever you can for our students.” And many organizations will say, will say yes. Many just aren’t asked.

Marilyn Dieppa (11:57):
Right. And a lot of towns do have, like, education advisory boards. You wanna reach out to those people. ‘Cause those are the communities where they have money set aside in order to assist things like this.

Eric Cross (12:09):
Do you notice any carryover between the students that do get involved with these extracurriculars into the regular science classroom?

Marilyn Dieppa (12:16):
For sure. They’re more, they’re more disciplined. They tend to care more about the sciences because they see that link in the science. I mean, my kids are talking about gear ratios. They’re talking about, you know, mass accelerations. They had—they infuse all these things. And when they see it in the science class, they’re making that connection, which is really wonderful.

Eric Cross (12:41):
It seems like there’s a high level of engagement because this is an authentic thing. It’s almost, this should be science.

Marilyn Dieppa (12:46):
Yes. And not only that, the writing skills that have to be interpreted because part of the program is that they, they don’t necessarily have to have it, but in order for them to go far and make it to Worlds, they have to have an engineering notebook. So our strength sometimes is not the robot, but the engineering notebook.

Eric Cross (13:02):
his is where the journalism major shines.

Marilyn Dieppa (13:05):
Yes. And I go, “Guys, this is your Ikea manual. You have to explain what you’re doing, what pieces you’re using, what’s going right.” You know, and then they have to interpret and see what didn’t work. How can they fix it? So there’s so much problem-solving. It’s real life, it’s what they’re doing there. More so than sitting and learning rote, you know, vocabulary or whatever the case might be, ’cause they’re actually applying what they’re learning.

Eric Cross (13:31):
Yeah. And that’s, that’s so critical, the communication piece. Because seems like now in society, more than ever, even just being able to communicate something with bad science is convincing to people. Versus if you have great science, but you can’t communicate it, you’re not gonna be able to get it out into the public. It’s so great to see a program that exactly brings together this literacy aspect, in addition to kind of this content and skills aspect of doing the science.

Marilyn Dieppa (13:57):
And that’s what really, you know, since I started, that’s pretty much what I’ve done. My strength, believe it or not, when I was growing up, was not the science. I think I didn’t really have a really good science background. But I remember reflecting and saying, “I don’t want my students to feel like I felt when I was a child.” I wanna make sure that I give them everything, you know, give them the hands-on experience. I think I had one teacher when I was growing up and I still remember him. He was my second-grade teacher and he was just so amazing with the science. And it was just like the only really good experience I had. And I think that always stayed in the back of my mind. And when I started teaching and I go, “I wanna give these kids these experiences.” You know, sometimes I see kids in eighth grade and I go, how sad! They see water boiling and they’re just, like, in a lab room. And they’re just like, in awe, because there’s water boiling. And I go, “You guys haven’t seen water boil before?” And he goes, “No, no, no, not like this!” And I go, oh wow.

Eric Cross (14:58):
Even if it’s simple, everyday phenomena, everyday things that people deal with in a science classroom, or when you’re a teacher in that setting, it’s just—it just hits different, right? Like you, you know, you drop dye into water and watch it diffuse. And it’s like, whoa! Because they’re looking at it through that different lens. And that’s why one of the reasons why—I’m super-biased, but as science teachers, we get to do the coolest stuff.

Marilyn Dieppa (15:21):
Yeah, we do.

Eric Cross (15:22):
We just do. It’s so much fun. And basically anything that happens, that’s cool, like in, innovation and things like that, we can figure out ways to incorporate into our classroom. Now, as a coach and as a mentor, you’ve had multiple student teachers in your classroom. And we have, you know, huge need for new teachers. I teach teachers who are getting their CR, getting their credential. And the landscape of education is, is constantly shifting. You’ve watched it shift over the years. What are your biggest tips that you give to new teachers?

Marilyn Dieppa (15:49):
Well, I just had an intern last semester. I’ve had a few interns where, you know, not only are they doing this, but they’re also learning robotics too. So they’re really getting aspect in how to incorporate that. You don’t have to have everything separate. You can include everything together. But I think, I think it just comes from the foundation where they’re not exposed. Even me, when I went to college, I don’t remember doing so many labs as I should have. And I think it’s just a fear of them trying new things and failing. And I go, you know what? I, sometimes my first class is my guinea pig class, because I always change my labs. I don’t like to do the same thing over and over again. If I see something online, I go, “Oh wow. You know what, I’m gonna try it.” And I go, “Hey guys, this is the first time; we’re gonna do this together.” And it’s really—it’s just for them not to be fearful. And I think especially for science teachers or like even elementary, to give the kids the foundation that they need, they’re afraid. They’re afraid of failing and not trying something new, and say, “Hey, it’s OK. There’s other ways of doing this.” You know? So I always say, “My first class is always my guinea pig class, ’cause that’s the class I’m gonna try this on.” And then, you know, when you have to tweak, reflect, then we do that.

Eric Cross (17:06):
What are some of the things that you’ve seen or encouragements that you give to teachers who are teaching, kind of, in this kind of newer landscape, where as teachers, you become more than just a science teacher. I mean, you’re a mentor. You’re an encourager. Sometimes you’re a counselor for students. And then there, there are things that happen externally that impact teachers as well. It’s a tough job.

Marilyn Dieppa (17:24):
So I always say, you know, when you have a child, we have to be very aware of what’s happening with our children. Especially after these two years of the pandemic. That was kind of crazy. Last year was a really tough year, I think, for most educators that were back in the classroom. But I always tell ’em, you have to be really aware of what’s going on with these kids outside. When you see somebody who’s not doing anything and then you have the parents are there supporting. There’s something going—I mean, there has to be something going on. Kids are not just going to be so, so defiant. You’re gonna have very few that will be like that. But most of them it’s just gotta see and read those kids and see what’s going on, and don’t be afraid to—and I always say, I’m not there to really be your friend, but I’m there to help you. And you gotta tell ’em, you know, if you need to talk, come talk to me. Have an open-door policy with those kids.

Eric Cross (18:16):
What’s been your favorite part of the job? Something you really enjoy about the job? Especially having been teaching for as long as you have.

Marilyn Dieppa (18:23):
I think my favorite thing is their success. Whether they have struggled all the year and they’ve had that one piece of success or they don’t realize what they got out of middle school until they get to high school and they come back to you and they tell you it’s, you know, seeing my kids, whether it’s robotics, whether it’s in the classroom, that they pass a test for the first time, those are my moments of success. And that’s what makes me happy.

Eric Cross (18:52):
So you get those ahas, you get those wins, those turnarounds. And it’s like, “Ah, this keeps me going. This is so good!” But there’s something that I say to myself when I do get challenges in the classroom is teaching seventh grade, I say, “They’re 12. They’re 13. They’ve been on earth for 13 years. And for the first five or six, like, you know, they’re just kind of coming online at that point. And they’re going through all these changes.” And it grounds me in the fact that ’cause sometimes the things that you experience can be really, really challenging kind of interpersonally. And I remind myself, “Well, it’s like—you’re not 28 years old. Like, you’re, 12 and 13, and you need me to not be Mr. Cross, the science teacher. You need me to be, you know, Mr. Cross, the mentor, or Mr. Cross, the coach.” Like you were saying, open door. Keeping that open door, keeping that relationship. Because so much of what we’re doing is like life coaching in addition—and that connects to their success in the classroom. There’s a direct relationship.

Marilyn Dieppa (19:45):
Yes, yes, yes, absolutely.

Eric Cross (19:46):
Now what gets you back each fall? Because at the end, you know, every school year it’s like, “That was a tough one!” Especially with the last couple years. Right? So what’s been something, what gets you back in the classroom every fall, so that you’re ready for your students?

Marilyn Dieppa (20:02):
I think the support I get at home. I have a husband who is the most supportive person ever. He always tells me, “Your kids are grown up.” You know, my kids are adults now. “Enjoy these kids, what they’re doing. You don’t know how much they need you.” So he does tell me that. He goes, “And don’t complain! You love it!” And also my administration, they back me up. And that’s what I think what keeps you coming back. I love my administration. Whatever I ask for, they don’t tell me no. They tell me I’m crazy, but they don’t tell me no. You know, we have these huge competitions once a year at our school, administration has to be involved ’cause they have to be there, and they go, “We do this because we love you! But you know, you’re crazy!”

Eric Cross (20:48):
It’s interesting, ’cause both of these things, they involve human connection. And one is your support system at home, which is incredibly valuable. Shout out to your husband; I don’t know if he’s around. And then the culture, like, feeling supported. Teachers, you know—and it’s not just in education, but people, I’ve experienced—will work harder, longer, be more committed, when they have that intangible. When they feel like they’re connected to something bigger than them. Or on a team, not in a silo. And one person can really create or break whether that happens. And just like us in the classroom as a teacher, right? Like, “What makes you like this teacher’s class?” “Well, I feel connected. I feel safe. I feel it’s fun. It’s the culture!” I like to end with asking this question and you kind of alluded to an answer earlier, but who is one, or it could be multiple teachers, that you’ve had in your own life as a kid growing up or young person in kindergarten through 12th grade, could even be college, that has inspired you? Or made a difference in your life one way or another? Like, who pops out? I feel like we all have somebody.

Marilyn Dieppa (21:58):
One was my second grade teacher, as I mentioned before. Mr. Fernandez, never forget him. And my other teacher was my high school teacher, Mr. Velazquez. It was in New Jersey as well. And he was the one that really got me into the love of writing. He was my Spanish teacher, actually. He wasn’t even, you know—he was like an elective teacher. But he just made me believe like, “Wow, you’re like a really good writer!” To me, those two gentlemen really stood out. Very fond memories of being in school and really enjoying what I was doing.

Eric Cross (22:33):
There are so many teachers that we all have been impacted by. And many of us now who are teachers, we sit in that same seat. We fill those same shoes. And going back to what you had said earlier, one of the most rewarding things is when those kids come back to you. And I’m thinking about all the work that you’ve done, all the students you’ve poured into, all the competitions you’ve done. The ones that have come back to you are a small fragment of the ones that you’ve impacted.

Marilyn Dieppa (22:59):
Mm-hmm, yeah.

Eric Cross (23:00):
‘Cause we think about our own story, right? Like you’ve gone on and paid dividends for that one teacher in second grade. You know, Mr. Fernandez or Mr. Velasquez like, they went and they just gave you exposure to something or helped you fall in love with something. And you went on this trajectory. And if we could see the timeline of, like, this teacher created Marilyn, and Marilyn went and did this, and then what do all those students do? And that, I don’t know, there’s so many jobs that are gonna be hard work and that are gonna be challenging and stressful. But that is the thing that I think fills me when I listen to your story. I just think about like all the students throughout Florida that you have—you probably will never hear from, but have gone on to do amazing things or become great people who would go back and talk about you and say you were an inspiration for them. Marilyn, thank you for taking the time out to be on the podcast and for not only teaching students, but inspiring and coaching younger teachers and new teachers. It’s so critical. And for being willing to spend so much of your time beyond the classroom to create these opportunities for students to do this awesome, fun, engaging science, and go to Worlds. I wish you a great school year.

Marilyn Dieppa (24:11):
Thank you. You too.

Eric Cross (24:12):
We hope you make it to Worlds again and crush, in a competitive, collaborative type of environment. We’ll be checking out—I’m sure other teachers will check out Vex Robotics. Thanks for being on the podcast.

Marilyn Dieppa (24:23):
Thank you. You too, Eric.

Eric Cross (24:26):
Thanks so much for listening. Now we want to hear more about you. Do you have any educators who inspire you? You can nominate them as a future guest on Science Connections by emailing STEM@amplify.com. That’s S T E M at amplifycom.wpengine.com. Make sure to click subscribe wherever you listen to podcasts. And join our Facebook group, Science Connections: The Community. Until next time.

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What Marilyn Dieppa says about science

“I think as science teachers, we’re afraid of failing and not trying something new, and I say, ‘Hey, it’s okay!’ You have to tweak, reflect.”

– Marilyn Dieppa

STEM Academy Coach/Teacher, 2018 Miami-Dade County Public Schools (M-DCPS) Middle School Science Teacher of the Year

Meet the guest

Marilyn Dieppa is a long-time educator and STEM Academy coach at Miami Dade County Public Schools. Currently in her 24th year, Marilyn teaches 8th grade science and coaches the STEM Academy at Bob Graham Education Center. She launched the Science, Technology, Engineering and Math (STEM) Academy during the 2016-2017 school year, and the teams compete in VEX IQ World’s Competition representing both the district and the state. She has been the middle school department chairperson since 2003, attends the district department meetings and Instructional Capacity-building Academy (ICAD), and trains her science department.

Dieppa holds a bachelor of science in Elementary Education and a master of science in reading education. She is also a Nationally Board-Certified Teacher in Science.

Smiling woman with long dark hair wearing a patterned top, photographed against a plain white background inside a circular frame.

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!

S1-06: Supporting students with a creative twist: A conversation with Kentucky Science Teacher of the Year, Shad Lacefield

In this episode, Eric sits down with the Kentucky Science Teacher of the Year, Shad Lacefield. Shad shares his experience teaching during the first year of the pandemic, where Shad dressed up in over 100 costumes to create a unique and engaging online learning experience for his students. Shad also explains ways he connects with his students to celebrate student success, as well as large-scale efforts he leads within his school to cultivate the love of learning science content. Explore more from Science Connections by visiting our main page.

Download Transcript

Shad Lacefield (00:00):
When you stay relevant, it’s being engaged with your students and figuring out, or what are, what are they liking? And every year it’s gonna be different. And that helps you stay relevant. When you have conversations and you build relationships with your kids,Eric Cross (00:13):
Welcome to science connections. I’m your host. Eric Cross. My guest today is Shad Layfield. Shad is a teacher at garden Springs elementary and a part-time professor at Asbury University in Kentucky during the first year of the pandemic, Mr. Layfield dressed up in over a hundred costumes to create a unique and engaging online learning experience for his students. He also created Vader visits, where he visited students at their homes, dressed as Darth Vader to celebrate their online successes and keep them encouraged. During a challenging time. In this episode, we discuss how creativity impacts engagement, transferring lessons learned from distance teaching back to in-person instruction, and how upper grades can apply the same principles to improve student learning. I hope you enjoy this discussion with shad lays field. So you’ve been in fourth grade for four years, and then you were in second grade and fifth grade. And so like how long have you been teaching for like total?

Shad Lacefield (01:09):
So this is my 15th year teaching.

Eric Cross (01:12):
Really? Yeah. You’ve been in the game for a while.

Shad Lacefield (01:15):
Yeah. Yep. It, it doesn’t, and it’s always surprising to parents too during that, that first like, come in and meet your teacher. And I walk in, I’m like, yeah, I’ve been teaching for 15 years and every time it gets ’em, they’re like no way. And I’m like, yeah,

Eric Cross (01:28):
That’s, that’s a good thing though. That’s a good thing. Right?

Eric Cross (01:31):
You know? So like, well the energy and then, and you’re just how you’re perceived. Like you’re, they’re just, I don’t know. It’s something about work with young people. Like it keeps you young.

Shad Lacefield (01:39):
That’s what it is. Absolutely.

Eric Cross (01:41):
So how did, how, like, what’s your origin story? Like, how did you become a teacher? Like what, what was it? Was it something like you knew second career, like right outta school? Like how did you end up in the classroom?

Shad Lacefield (01:53):
Yeah. No, and I love this question cause I’m a big Marvel and, and superhero. So origin stories are all, I love a good origin story. So I grew up on a 13 acre farm in a little bitty town called Gustin, Kentucky, and very early on, like we were instilled my parents, amazing, amazing parents. But they really instilled like a, a super important work ethic in our lives of like, it’s, it’s all about hard work and it’s important that you’re working hard in whatever it is that you do. And I’m one of six kids as well in my family.

Eric Cross (02:24):
Where are you in the–

Shad Lacefield (02:25):
I’m second to last.

Eric Cross (02:26):
Second to last. Okay. So you’re the second youngest.

Shad Lacefield (02:29):
Yes. Okay. And and so, and so growing up, like with that, like, you know, I worked in tobacco, I worked in hay, you know, we did things being on the farm and stuff like that. And within my family as well, there’s four boys. And so when I decided to go to college I was the first guy in my family to go to college. And the first and only boy that ended up going to college. And so it was like this big deal, like, oh, you know, we got one of our boys gonna go to college. So what is he gonna be? And I was like, well, if I’m gonna put forth the, the time and effort and then the financial strain that it would cause cuz we were not poor at all. My dad worked two jobs to make sure, but I really felt the responsibility of like, if I’m gonna go, I’m gonna work in a profession.

Shad Lacefield (03:09):
That’s gonna make a lot of money. And here I am as a teacher now. So I didn’t go to college to be a teacher. I actually was pre dentistry. I thought, now here’s a profession. You can, a lot of money. You don’t work weekends or holidays, you know, I can still be the doctor thing. And so I’m gonna be pre dentistry. But like all good origin stories. There was a, there was a flip. So in my first year I started working at the most majestic place that you will ever go. It’s called Squire, boon, caverns. It’s a cave in Southern Indiana. And it’s an amazingly beautiful little place. You have to like one lane highway, like road to go back there up and down. Like you, you think you’re never gonna make it. And if it rains too much, the bridge will flood and you actually can’t even get back there.

Shad Lacefield (03:52):
So that’s how we’re talking like way back in the sticks. But once you get back, back there totally worth it. And as part of the job you were a tour I also did grist mill demonstrations and gym mining adventures, or, you know, as they’re gym mining and stuff like that. And within that, I started working with school aged kids and on very large tours and stuff. And my manager at the time, Claudia, I’m still great friends with and we still take our kids back there. Every summer she, to me, you’re really good with kids. Like you’re really good with kids. We have this scout program that’s on the weekends. And then during the summers and you would be teaching kindergarten through eighth grade kids, geology and forestry. What do you think about doing that? And I said, well, right, let’s try that out. And then I got the teaching bug and it hit and I was like, oh my gosh, like I don’t wanna spend my life doing something that is all about money or, or that is like, this is where it’s at. Like, I love this, I enjoy this. I enjoy the response that I get when I’m talking. And kids are excited about learning and getting new information and learning new stuff. And so then I change my major and here I am now, all these years later teaching instead of being a dentist,

Eric Cross (05:04):
Are there, are there days, do you ever have days where you’re like, you know, dentistry, it’s still an option. Like I can, I can go back.

Shad Lacefield (05:12):
Oh, rare, rare occasions. Rarely. Yeah.

Eric Cross (05:16):
Okay. Yeah. All right. All right. Fair enough. I, I, I always joke and say that like we have, you know, sometimes I have my, my alternate job on the hard days, which is for me, it’s working at the gap where I just want to fold clothes and go home at the end of the day, you know, on those really rough days. And you know, it’s never the kids, right. It’s always other things. The kids are like the great part. And then there’s all these other things. And I just wanna work at the gap. I just wanna work at the gap. Fold some clothes. Yes, sir. Yes. Ma’am absolutely. I can find that size for you. And then I just go home cause about their job when they go home at the end of the day, when you work at the gap, at least sorry, gap workers. I’m sure hard of that, but my perception in my mind is that you close up shop and then you’re done. Yeah,

Shad Lacefield (05:52):
Absolutely. Like you said, they can turn it, like it’s a turnoff at the end. Exactly. As teachers we know, like you don’t ever turn it off, it’s always there.

Eric Cross (06:00):
Yeah. So one of the things that I was super excited about when I, when I first heard about you is I went on your website and there’s so many things I feel like I can just talk about your website and just the, the content that you’ve produced. I, I, there’s so many directions I can go. But one, one of the things I want to ask you is, is about that. Now, one of the things that’s on there, and this is coming from a fellow star wars, Fisha who finished Bobba FET and the Mandalorian recently and is Jones in four OB one to come out.

Shad Lacefield (06:33):
Oh, so yes,

Eric Cross (06:35):
I live in Southern California next to Disneyland visited Galaxy’s edge star wars. You have these things called VA Vader visits. And so what do you do in those? And like, where did you get the idea for these Vader visits?

Shad Lacefield (06:50):
So the costumes were bringing the kids into the classroom. But when they left my room because you would, we only had them for a certain amount of time. There was still a lot of extra work that they needed to get done. And what I was seeing was I could get them to come in and they were really engaged during my lesson. But then afterwards, when it came to work completion or getting things done, there was, it was starting to fall off. As you know, we were experiencing, you know, more and more craziness of what’s going on. So then as an incentive, I decided if you have everything turned in, by the end of the day, I’m gonna dress up in my Darth Vader outfit, full costume, the, you know, the, the full helmet, like everything. And I’m gonna show up to your house and we’re gonna hang out and play any game at all that you wanna play.

Shad Lacefield (07:34):
So then it was a way of rewarding. My kids for getting everything turned in. But same time I felt like it would also help me build a relationship with them. That was a very challenging part of online learning. Like, again, I want you to feel like you’re a part of my classroom. I wanna feel like I’m invested in you and wanna learn about you. And it was a commitment because some of those kids put me through the ringer, whether it was we’re gonna do gymnastics on a trampoline. And again, I’m in full costume doing gymnast on the trampoline, or we’re doing soccer drills with their soccer coach at their house playing football games. I mean, all kinds of stuff. I made a Yachty game for a kid that loves Harry Potter. And it was really a big part of getting work turned in because, and it’s the crazy thought they wanted to spend time with me. Like that’s what it was. And so it was like, yeah, absolutely. I’ll keep dressing up. I did over 50 plus Vater visits. It wasn’t just for my homeroom. It was for all of fourth grade. So I went over 50 visits and it was cool to see kids in their home and talk to them and meet their parents. It was a great opportunity for me to engage with parents as well. How is online learning, going, what can I do to support you? Do you guys have any questions and stuff like that? So

Eric Cross (08:39):
This thing of relationships is like leading to work completion, which isn’t, which isn’t always the, the thing that we think to as educators of like how, you know, work completion. A lot of times we think of like structures or you know, certain protocols that you do in class get work completion, but here you are addressing as Darth Vader. And, and you said students were turning in more work because they’re connected to, you saw an increase in, in yeah. Engagement.

Shad Lacefield (09:07):
And absolutely. And, and I remember even saying that to myself, like this is, this is what’s getting them. But it, it was, and as part of the Vader visit as well with the videos we recorded all of them and I said, I’m gonna make you a YouTube star. And so I would, I, I recorded them. I put ’em on my YouTube channel. And so a lot of the videos that are on my website, all those Vader visits are like the kids showing off and playing against the teacher. And I promise you, I didn’t take it easy on any one of those kids. Like when it was like a verse match, I went all out and I told ’em. I was like, if you beat me, you know, it’s gonna be like, you earned it.

Eric Cross (09:38):
What a great way to leverage, just what, what is relevant to our students? Like you used your platform and then now you’re showcasing them on your, you know, your platform or what you were using. And then they’re seeing each other. And I could just see, regardless of the grade level, like just students, like beam from, from getting that kind of positive praise through, through, you know a medium that doesn’t, that tends to be more of a, just content consumption, but you’re kind of watching other folks do stuff, but now it’s about them. Like, and they’re, they’re getting that attention directly. Now I have to ask about the Vader costume. Did you, did you buy it for this event or did you already have that Darth Vader costume in your closet?

Shad Lacefield (10:19):
I had parts of the costume, but not the complete costume. And honestly, the very first Vader visit I had, I had the Vader mask that makes sounds, and like you could talk and it makes you sound like Vader.

Eric Cross (10:29):
My dark saber is on order. Yes. And it keeps getting delayed from best buy. It’s supposed to arrive in April, but I do have dark staple and order that I ordered back in November. So the best to your point, I don’t know who doesn’t have one, I’m waiting for mine though.

Shad Lacefield (10:42):
There you go, come on. Best buy come through for us. So

Eric Cross (10:44):
You, you did all this investment in time and, and you created all this content, but then we went back in person. Were, were you able to bring this back into the classroom or any of the things that you had generated during distance learning back in the classroom? Or are you, are you using some of the things that you learned? Like what, or is it just completely separate and you’re just doing something completely different. Now

Shad Lacefield (11:04):
That’s a great question. So I still try to dress up at least once every week, if not once every other week just to make whatever we’re doing fun, cuz I already have costumes that were connected to the content that I was doing. So had I had made a character called captain Soundwave that will use when I’m teaching my amplify lessons over sound. And so then I, you know, I have that or I would have, you know, specific characters that were designed for certain lessons that I would do. And so I still

Eric Cross (11:32):
Lemme interrupt you real quick. Where did you get these character ideas from? Cause they are super creative. I clicked on one random one. And you have had like a, a knitted like skull cap and like some blue shiny like cloak and I like who is this guy? I think, is that him? Is that captain sound wave? That’s

Shad Lacefield (11:48):
That’s hilarious. That was, that was my attempted Elsa. Oh, that was yeah. Started buying more and more costumes and and making characters and putting costumes together. And so yeah, it just ends up being this thing where you never know when I’m gonna show up in a completely random costume and be like today, we’re getting ready to learn about how sedimentary rocks form. And I dressed in my rock outfit, which is the old school rock with the turtleneck and the gold chain with,

Eric Cross (12:16):
Wait, do you have a Fanny pack too?

Shad Lacefield (12:17):
I have a Fanny pack. Yes you have. Yep. You nailed it. And they’re like, what does this guy

Eric Cross (12:22):
Do? He raise the one eyebrow. Can you do the, the rock eyebrow? Oh yeah, you got this. Oh, people on the podcast. Can’t see. Chad’s got it down. He’s got it down. He’s got the, he’s got the eyebrow going. Okay, so you, so I feel like I can go on a tangent and talk about all your costumes that you have, but the thinking about this. So tons of engagement, younger people now taking like some of the principles that you’ve learned from this, how can, how can upper grades like bring this joy to their classroom? Like middle school students, you know, older kids sometimes, you know, they can, they’re still kids, but you know, they might not be the same thing as fourth graders. Like would you, do you have any ideas of like how teachers and upper grades can kind of take these elements that you’ve done and, and apply them?

Shad Lacefield (13:04):
Absolutely. So some of the things that you had talked about, like with YouTube can also be applied to like TikTok videos and things like that, that kids are, are willing to watch and, and be engaged in. And so those things, I feel like I’ve seen other middle and high school teachers really utilize in their classroom. But honestly, and this is a new initiative that we’ve started in our district. Minecraft has been something that a lot of kids play and are really engaged in and has shown an amazing engagement for all of our kids when it comes to science engagement, particularly. And so with that, so there’s 126 million active Minecraft players right now in the world. And Minecraft is one of the largest selling video games. The average age, cuz they’re always like, oh, Minecraft is for kids who actually the average age is like 24.

Shad Lacefield (13:51):
So a lot of the older kids are playing Minecraft as well with the younger kids. And with that in mind, it was a way when I looked at Minecraft and specifically like Minecraft educational edition came out and it was during COVID and it was free. So if you had a school email or it’s like the, what the go 365 account, you could get it for free and all of our kids got it for free. And so then, then we went from playing Minecraft on the computer as like a fun game to me looking at it and saying like, wait a minute. I feel like when I’m doing energy conversions, we can take Redstone and Minecraft and kids can now show how a simple system using different parts and devices can work and understand even more con creates how energy is converted from one form to another.

Shad Lacefield (14:39):
And so let’s make this a, a, a, an actual activity. Let’s take what I’m teaching in the classroom. And if they get done early as an enrichment piece, because there’s not a ton of science and enrichment activities at times for kids to be able to do, like, what do I do when I’m done, Minecraft ended up being that. And so I could have these elaborate worlds that I would build for them that they could then go and play and be super engaged in and show me way more on this Minecraft world, what they knew than what they were writing on paper sometimes, cuz I, you know, you’d get like a sentences out of them on paper, but then all of a sudden when they would build this elaborate system and you just had them record and talk, it was like, oh my gosh, you understand way more than I was thinking that you did with that last exit slip, an assessment that we did.

Shad Lacefield (15:25):
And so like, this is awesome. So then I went to my district and I actually proposed an idea what if we did tire Minecraft build challenges for the whole district? So our district has 37 elementary schools and I was like, I think this could be something that, you know, as we’re looking for science, curriculum engagement and making kids excited about learning science and stuff again, cuz that was always the hard part. I feel like sometimes with COVID everything kids lost this love of, of being in the classroom and, and, and learning and that it was like, you know, getting them to come back into the classroom and, and finding, learning fun again. It was like this, this started to get ’em excited and like, yeah, I get to play in Minecraft and I’m learning at the same time. And it was working for all kinds of content areas.

Shad Lacefield (16:07):
We’re doing a blast off to, to Mars. We it’s called blast off to us. We’re partnering with CLO of the future. They’re working with SpaceX. Our kids will actually get to send postcards to space and yes, it’s, it’s a super cool thing. And I love my district and all of the office of technology, individuals, Ashley Josh and Kelly for putting this together. And so it asks this question if you could a community in space, what would it be like? And the goal is that kids will write on the back what they want. And then we send this postcard off to space, they stamp it saying it’s been in space and the kids get to have it back and, and be able to use it. But what, what we decided, what we could do with Minecraft is what if they actually built the colony on Mars, like really research put time and effort into reading scientific articles about plants and how plants would grow and, and water and, and structures and apply all of that in a massive build challenge. And then that be, you know what we’re doing? That can be the answer to the question. And so it’s not just a couple sentences on a postcard, but it’s like a week or two week unit that pulls all this scientific content and standards that we’re working with and really allows kids to show so much creativity like on my Twitter I’ve been posting like pictures and stuff like that of some of the students builds. And I’m gonna continue to do that throughout the build challenge.

Eric Cross (17:26):
Now, are you using Minecraft EDU?

Shad Lacefield (17:28):
Yes. That is correct.

Eric Cross (17:29):
I love Minecraft EDU. Like it, it, you talking about it inspires me to, to try to dive back into it. One of the things sometimes I feel limited by is the time that I have and the things that we’re trying to cover. And it’s almost, it almost feels like we’re doing something wrong using a video game to teach, but it’s such a great educational tool. Like you said, you just said that students are able to show what they know in, in a way by creating something that’s different than if they would’ve just written it, but they’re actually creating, and this is one of the things, I guess you kind of hit on this, but I wanted to probe it a little more. Is do you have your students creating content like you do? Cause I kind of heard that they, you were, did you say that they were explaining or doing a video recording or describing it? How are they, how are they, how are they doing that work?

Shad Lacefield (18:17):
Yeah. So what they actually do is they’ll write a script and they will use Screencastify to record and then upload to Flipgrid. And then that way they can actually show their build to all of fourth grade. Since we weren’t allowed to be in the same class, like we were all departmentalized, so then we will have voting challenges. So after you record, you get to see everyone’s videos, you get to like and comment and leave feedback on their builds. So you can see what the other kids created. And then then from those initial videos and voting, we selected a certain of kids that then go on to the district level for our Minecraft build challenge. And then those videos are viewed by administration and other teachers to vote again. And then you end up having grade level winners and then an overall winner, which shout out to my boy in fourth grade, who was our overall winner, Eli, super proud of him.

Shad Lacefield (19:07):
He, he made this really, really space saving system, which was hidden stairs that ran off of Redstone and used motion, energy. And again, in his video, he talks about like how motion energy has changed to electrical energy and then back into motion through the process of how this hidden staircase would be in the wall. And then you’d be able to use this lever to then release that staircase. So you could go up and down but it was just, and again, when you, when you let kids talk about energy conversions and you let them build all of a sudden, you have kids making security systems for banks. Another kid that made a feeding system for kids for animals at the zoo, and it was just like, oh my gosh, I had no idea that this was what you guys could run out and do. When I, when I taught you how energy conversions work, that this is what you could produce and come over, like this is mind blowing. I love it,

Eric Cross (19:56):
What our kids can do and what they can create always kind of blows us away when we give them an opportunity to kind of have that freedom to, to create and take their knowledge and actually do something with it versus channel it into what, show me what, you know, but only do it like this. This is, this is the lane that you have to stay in. How do you get these ideas and, and stay, stay relevant? Like so many of the things like you’re touching, like pop culture, you, you have this hand in education technology, you have you’re, you’re doing video editing. Like where are you drawing from? Cause I’m just thinking like, as a teacher listening to this, that might be newer. And they go to the side like, oh my gosh, this, this guy is doing these so many things like where are you drawing from for inspiration or ideas?

Shad Lacefield (20:39):
I think a lot of it is like you say, when, when you stay relevant, it’s being engaged with your students and figuring out, or what are, what are they liking? And every year it’s gonna be different. And that helps you stay relevant. When you have conversations and you build relationships with your kids to figure out, you know, what’s going on. Because I was not a big Minecraft person. It was the group that came in that really challenged me to do Minecraft because it, it showed up on their Chromebooks one day and all of a sudden it’s like, oh, we can play Minecraft all the time. And I said, no, you can’t play Minecraft until that I’ve had training. And I know what’s going on because I’m super nervous about this new thing. And I wanna make sure you guys aren’t doing something that you’re not supposed to.

Shad Lacefield (21:13):
And like, they hounded me hardcore about you better do you need to do that training, Mr. Lacefield, you need to, we wanna play Minecraft. You better be doing this. Right. And so I was like, all right, man, I’ll, I’ll invest. I’ll, I’ll put some time into this training. And I’m so glad that I did yeah, again, that’s it just like building relationships and having those conversations help you realize like, what’s, what’s what are they interested in? What what’s going on and what would be really funny, even connecting that back to the costumes. What would it be really funny if I showed up in you know, today, princess Jasmine.

Eric Cross (21:42):
Yeah.

Shad Lacefield (21:43):
Been yes. Done that. That’s a great one. I,

Eric Cross (21:45):
I, I just went to the social studies page. I, and I stop laughing while you were talking. Cause I saw the princess Jasmine.

Shad Lacefield (21:52):
Oh yeah. Folks.

Eric Cross (21:53):
I’m telling you, you have to go, you have to go to his videos and see what he’s done. I mean, they’re just, they’re just amazing with my middle school students. They, I, I find myself having to be into things that I’m not normally into. And we have these intergenerational relationships, right? Like I think teachers are unique in this I aspect where I can connect with a 12 year old with what 12 year olds are in no matter where this 12 year old’s from. Cuz I get 12 year old culture. But sometimes when I go back into my adult world, like I forget that like, Hey yeah, haven’t watched a new anime you know, or, or whatever, you know, up

Shad Lacefield (22:26):
That. Yeah. No said too. And a kid will show up wearing a, a shirt to school and I’m like, I wasn’t the world’s that like, I’ve never even seen that before. And you’re like, okay, I’m gonna have to learn what that is cuz that yeah.

Eric Cross (22:38):
And then the next student asks you about, Hey, do you like, do you like these this game? I’m like, yeah, yeah, let me go Google that game real quick. Yeah, I’m totally into it. I’m downloading on my phone real quick. And, and now I’m connected to all kinds of obscure random interests, but to your, to what you said, it like, it helps keep us fresh, right? With I, with ideas, there, there is something that is super practical that you’ve done that you’ve created that I’ve encouraged teachers to do. And I think you really nailed it. On your site, you have these video tutorials. When I look at those, I, I think about how much time you must have saved yourself of not having to explain the same exact thing multiple times. Because you’ve created this virtual help section that allows students to log in amplify earth, check, Flipgrid, whatever. Like do you, when you’re, when you’re teaching students, do you, do you use those in direct students there so they can kind of support themselves? Or is that, what, how did that come to be when you, when you made these, these virtual tools? Because I could just imagine these are time savers for you.

Shad Lacefield (23:49):
Absolutely. Cuz again, like you said, it’s it saves on time. So a lot of when you have kids that are already visual learners as well, and they love watching YouTube and they learn stuff from YouTube, why not? I mean, make the video and then attach it to my Google classroom, keeping everything online. Everyone always has access. And by still having those videos, it allows kids to hear the directions multiple time, but on their time and at their pace. So then it’s posted on the assignment. So even though I probably still will give those directions verbally out loud if a kid forgets and maybe they feel a little nervous about asking in front of their peers, like, oh, how do I do this again? Or, oh, I don’t remember how to do that. That video is linked on there. So that way they can go back and watch it.

Eric Cross (24:28):
It’s almost like a little co-teacher that you have like a little aide that’s like, but it’s you, but it’s like a mini you who’s helping you out. I found that putting sometimes those tutorial videos on ed puzzle, where at different points in time, you can set it up so that at a certain timestamp, it asks a question and you can control it. So they can’t move faster past it until they respond to the question and you have the question be about whatever you just said. And then it, it syncs with Google classroom. So you can import all the grades and you can see how far through the video they got. But that was one other layer that I was able to do. So I can have some accountability and make sure that okay, everybody watched it and they answered all five questions of like, how do you do this?

Shad Lacefield (25:07):
Oh, see, now you’re sharing stuff with me, Eric, because I, I’m not as familiar with ed puzzle. I’ve used like near pod and per deck, but I mean just you saying that I’m like, okay, I need to check out ed puzzle and, and see what, what this is all about. Cause that sounds awesome.

Eric Cross (25:20):
Hey, I shared something with Chad and it it’s useful. I’m I’m feeling good right now. I’m feel I’m feeling good. So as we, as we kind of wind down one, couple questions I wanna ask. One of ’em is you’ve been in teaching for, for 15 years and I, I talk to you like right now and I get this energy and this vibe that’s just so upbeat, so positive. How do you stay fresh, fresh. And how did you stay fresh during a time when things have been so hard, you know, and it, and still is for so many educators, how do you stay encouraged? Like what, what have you done and, and to stay in, in education for, for this long,

Shad Lacefield (26:00):
I think it, it even goes back to like when I made my initial decision to switch my major to education, like I, I really felt like I found so thing that I thoroughly loved and enjoyed, and I always feel like you go through seasons. Like, and I definitely, when, when COVID hit, like you went through a season of where you start to feel again, that pressure like do I really like doing this as much as I thought that I like doing this and am I ready for this next thing? And then I just go back to just the, well, why did I do this to begin with? And, and it gets me, you know, excited to be like, I did it for the kids, like, and it’s about the kids. And I get joy when they’re laughing and smiling. So again, with the videos, it’s like, how can I make ’em laugh and smile because if they’re laughing and smiling and having a good time, I’m gonna get, you know, jacked and ready to start teaching again.

Eric Cross (26:48):
And I just hear that so much in what you’re saying is you’re serving your kids is, is being more than that building the relationship, that connection. And then through all that, the learning happens. The last question I wanna ask you is who’s one teacher that created a memorable experience for you or inspired you. Is it someone that you remember when you were in school or learn experience that just, that stands out to you to this day? Cuz as teachers, we remember thi like our kids remember us and it’s weird to be in that position to think that we’re gonna be that person. So is there anybody or anything that stands out to you that you remember from a, a teacher and experience?

Shad Lacefield (27:27):
Gosh, I have, I have a lot that you know, from my fifth grade science teacher, Mr. Goodman, who we did the ecology meet and the ecology team, and we went to OT Creek park and we competed against other schools about science, connected materials to my physics teacher in high school that let us build boats out of cardboard and take it to the only hotel in our town and the pool. And we had like boat races with the cardboard boats that we did. But really I, I go back to Squire boon and Claudia my manager and I remember not only was, she’s such a, a pivotal like getting me into teaching. But I remember the, the curriculum that we were using at the time that I was. And again, it goes back to what if I was to teach that curriculum, I would not still be a teacher because again, as sometimes you experience with curriculum, it can be boring and not engaging. And I was already putting my own flare on it at SQUI boon during the scout lessons. And I said, what if I just completely rewrote this curriculum? What if I made it really fun and put my own, spin on it? And, and she was like, absolutely, absolutely do that. And I feel like that encouragement as teachers, when we encourage kids to be creative when we encourage kids to, to take risk and to try new things we end up getting such amazing results that we didn’t even expect

Eric Cross (28:45):
Thought I out to Mr. Goodman for the ecology meet the physics teacher for the, the boat races, which are hilarious, by the way, if you’ve ever been able to watch students, did you make ’em at a cardboard?

Shad Lacefield (28:53):
We did. Yep.

Eric Cross (28:54):
Yeah. Those are hilarious to watch. And Claudia for giving the freedom to let you be a educational DJ and remix things to make it fun. Thanks for being on the podcast. Thanks for your inspiration and for sharing your stuff like publicly and letting other people see it and, and get ideas. It’s, I’m sure there’s more people than, you know, and more teachers than, you know, that are looking at that and getting their own ideas and coming up with their own. It might not be star wars, but coming up with their own inspiration, maybe it’s like Harry Potter or Lord of the rings or some like that.

Shad Lacefield (29:26):
Yeah. Whatever. You’re passionate about. Pull that in.

Eric Cross (29:31):
Thanks so much for joining me and Shad today. We want to hear more about you. If you have any great lessons or ways to keep student engagement high, please email us at stem@amplify.com. That’s STEM@amplify.com and make sure to click, subscribe wherever you listen to podcasts until next time.

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What Shad Lacefield says about science

“It’s about being engaged with your students and figuring out what are they liking. Every year it’s going to be different…when you have conversations and you build relationships with your kids.”

– Shad Lacefield

4th Grade Science Teacher, District Elementary Science

Meet the guest

Shad Lacefield is a teacher at Garden Springs Elementary and part-time professor at Asbury University in Kentucky. Mr. Lacefield leads professional development in his district, and has been a guest speaker for Eastern Kentucky University, Campbellsville University, and Amplify Education. His topics include classroom managment, integrating techology, and student engagement. He earned his bachelor’s degree in elementary education from Campbellsville University in 2007, and his master’s in science from Southwest Baptist University in 2011. Shad has either taught or coached every grade K-12, and in his 14 years in education he has served as a lead teacher in literacy, math, science, and social studies. He currently coordiantes with the FCPS Office of Instructional Technology to plan Minecraft build challenges for elementary students, and is working on setting up a science field trip that turns a golf course into a STEM lab. During the first year of the pandemic, Shad dressed up in over 100 costumes to create a unique and engaging online learning experience for his students. He also created Vader Visits where he visited students at their homes dressed as Darth Vader to celebrate their online successes, and keep them encouraged during a challenging time. His creative teaching style, and over 50 “Vader Visits” with students, have been featured on WKYT-TV, LEX-18, Spectrum 1 News, and several local and college news publications. Shad lives in Lexington Kentucky with his wife Whitney Lacefield and their three children.

Check out his websiteYouTube channel, and Facebook account!

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About Science Connections

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

Identifying math anxiety

Can you do long division in your head and calculate tips in your sleep? Or does the mere thought of arithmetic keep you up at night?

If you fall into the latter camp, you’re not alone.

Math anxiety is real—and an established body of research proves it. In fact, data shows that math anxiety affects at least 20% of students.

And its effects can be damaging in both the immediate and long term. It can bring down student performance both in and beyond math, and in and outside the classroom.

Fortunately, we’re also learning how teachers can help students manage math anxiety—and succeed wherever it’s holding them back.

We explored this topic on a recent episode of Math Teacher Lounge, our biweekly podcast created specifically for K–12 math educators. This season is all about recognizing and reducing math anxiety in students, with each episode featuring experts and educators who share their insights and strategies around this critical subject.

Dr. Gerardo Ramirez, associate professor of educational psychology at Ball State University, has been studying math anxiety for more than a decade. He joined podcast hosts Bethany Lockhart Johnson and Dan Meyer to share his insights.

So let’s take a look at what math anxiety is—and is not. We’ll also explore what impact it has on learning, and what we can do about it.

What is math anxiety?

Math anxiety is more than just finding math challenging, or feeling like you’re “not a math person.” Dr. Ramirez offers this definition: “[Math anxiety] is a fear or apprehension in situations that might involve math or situations that you perceive as involving math. Anything from tests to homework to paying a tip at a restaurant.”

Math anxiety may cause sweating, rapid heartbeat, shortness of breath, and other physical symptoms of anxiety.

But while math anxiety has some similarities with other forms of anxiety, it’s exclusive to math-related tasks, and comes with a unique set of characteristics and influences.

Math anxiety can lead sufferers to deliberately avoid math. And this avoidance can not only result in a student not learning math, but also limiting their academic success, career options, and even  social experiences and connections. This can look like anything from getting poor grades in math class, to tension with family members over doing math homework.

Parents and teachers can suffer from math anxiety, too. In fact, some research suggests that when teachers have math anxiety, it’s more likely that some of their students will, too.

What causes math anxiety?

It’s not correlated to high or low skill or performance in math. Students who generally don’t do well in math can experience math anxiety because they assume they’ll do poorly every time. Students who have been pressured to be high-achieving experience math anxiety because they’re worried they won’t meet expectations.

Other triggers may include:

  • Pressure. Pressure from parents or peers to do well in math can create anxiety, especially if the person feels that their worth or future success is tied to their math abilities.
  • Negative past experiences. Someone who has struggled with math or gotten negative feedback about their math skills might develop math anxiety. They may start to avoid or fear math, making it even harder to approach and improve.
  • Learning style. Different people have different learning styles. When someone’s learning style doesn’t match the way math is taught in their class or school, they may struggle and develop anxiety.
  • Cultural factors. When students hear things like, “Boys are better at math,” it can increase math anxiety in girls who may absorb the notion that they are already destined to underachieve.

Math anxiety and working memory

Dr. Ramirez has researched the important relationship between math anxiety and working memory.

Working memory refers to the ability to hold and manipulate information in short-term memory. People with math anxiety often have poorer working memory capacity when it comes to math-related tasks. This is thought to be due to the cognitive load created by anxiety, which can interfere with the ability to manage information in working memory.

The result? A negative feedback loop. Poor working memory can lead to further math anxiety, and increased anxiety can further impair working memory.

However, it’s important to note that not all individuals with math anxiety experience a decline in working memory capacity. Some may have average or above-average working memory capacity but still experience math anxiety. In such cases, the anxiety may be related to negative beliefs about one’s ability to perform math tasks, rather than an actual cognitive deficit.

What we can do about math anxiety

Even though math anxiety is a distinct type of anxiety, interventions such as cognitive behavioral therapy, exposure therapy, and mindfulness approaches have been shown to be effective in reducing it.

It starts, says Dr. Ramirez, with normalizing the anxiety.

“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,” says Dr. Ramirez. “And that’s a great opportunity.”

Learn more

Start your 30-day free trial of Desmos Math 6–A1.

S2-06: Making time for science in the K–5 classroom

Promotional graphic for "Science Connections" podcast, Season 2 Episode 6, featuring Lauran Woolley discussing making time for science in K–5 classrooms.

In this episode,  Eric Cross sits down with TikTok star and podcast host Lauran Woolley about her experience teaching science content within her K–5 classroom. Lauran shares how she’s learned how to make time for science, and what most K–5 teachers experience when creating their own science curriculum. Lauran also talks about her rise in popularity on TikTok, her podcast, Teachers Off Duty, and establishing strong relationships with her 5th grade students. Explore more from Science Connections by visiting our main page.

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Lauran Woolley (00:00):

I wanna make sure that they’re ready for the real world, and I wanna make sure that they’re able to apply these things that I’m teaching them in their life, not on a multiple choice test.

Eric Cross (00:11):

Welcome to Science Connections. I’m your host Eric Cross. My guest today is Lauren Woolley. Lauren is a full-time fifth grade teacher in Leetonia, Ohio, who has amassed a following of 5.5 million subscribers on TikTok and over 1 million followers on YouTube. She’s also co-host of the podcast, Teachers Off Duty. Lauren has combined her teaching vocation and her talent for entertaining to connect with her students and encourage teachers across the world using her own unique style of edutainment. My most vivid memory from our discussion was her sincerity and openness about her experiences. It quickly became obvious to me that her personal transparency was a characteristic that she has remained grounded in despite her social media success. And now, please enjoy my discussion with Lauren Woolley.

Eric Cross (00:53):

You’re currently teaching fifth grade?

Lauran Woolley (00:55):

Yes.

Eric Cross (00:55):

What is it like to teach all content areas? ‘Cause I’m a middle school science teacher.

Lauran Woolley (00:59):

I didn’t always teach all content areas. First I started in second grade, so I used to teach like primary. I taught that for about three years. And I only really got my 4-5 endorsement because it was told to me that it would make me more marketable as a teacher. So I got it <laugh>. I was like, I’m never gonna use that. And then, my second year teaching, my class had low numbers and they collapsed my second grade classroom, split up my students, and then moved me to fifth grade in January. I had to take over a fifth grade class with all content areas in the middle of a school year. And it was really hard. It was like probably one of the most challenging things I’ve ever had to do teaching. When I got my job at my current school, it was only language arts, social studies.

Lauran Woolley (01:46):

So we only have two fifth grade classes. My other teacher would teach math, science. I taught language arts, social studies, and then the timeframes weren’t matching up. Like, I didn’t have enough time in my schedule for all the things we had to do in our curriculum. And she had like a little bit too much time. We realized as a district that it would be better for our fifth grade classes to just be self-contained. And last year was the first year I taught all five subjects. And I liked the variety of teaching everything because when I taught just language arts, social studies, I just felt like I was repeating myself twice a day. <laugh>. It was kind of boring for me. So like, I like doing all of it. <laugh>.

Eric Cross (02:24):

Yeah. With all of your talents and like your background and what I’ve seen, I could totally see why having all the different content areas would like make sense. Are you using a set curriculum? How do you come up with what to teach? Do you do it with teams? Like who comes up with that?

Lauran Woolley (02:36):

Uh, me, myself and I.

Eric Cross (02:38):

Well done.

Lauran Woolley (02:39):

My school, for literacy we’re using literacy collaborative. Then for math, we just adopted bridges, which I love and it’s very hands-on, very like student-led. For science, we had nothing. And I am not a science, or was not a science teacher at the time when I took over. So I panicked a bit and I was like, “Hey, can we have some kind of science curriculum? ‘Cause I got nothing.” And it’s not hard to look at the state standards and figure out what you need to teach them, but having no resources to go off of is extremely difficult. And luckily I have an older brother, he’s like three years older than me and he’s also a teacher. He actually is a science teacher. ‘Cause that first year that I was teaching all subjects, I was like, “Hey Ryan, can you just like send me all of your Google Drive files for science <laugh>?

Lauran Woolley (03:33):

And he’s like, “Yeah, sure.” So he kind of was like a mentor for like the first year that I taught science. And this year being my second full year teaching science, I feel much more confident. I’m still using his resources. We don’t have a dedicated curriculum at my school. So that’s like one thing I’ve been fighting my school on. And not that they don’t wanna get us one, but like they were focused on getting the math curriculum last year. And then I was told, okay, this year will be science because in my state, fifth grade is a tested area for science and we have no curriculum.

Eric Cross (04:04):

Ryan, keep doing what you’re doing big bro. Second, thank you to every teacher who’s had a Google Drive folder full of curriculum that you graciously shared to a new teacher or someone else that they could have.

Lauran Woolley (04:18):

Can we just say like, can schools, like schools, please get your teacher’s science curriculums.

Eric Cross (04:24):

No, absolutely right. And there is this way of thinking that, especially as a science teacher, it’s something that is dear to my heart, but we do want to develop these math and English skills that’s important and we need that for science. But we’ve always taught so siloed for so long, but that’s not the way that we learn and that’s not the way life works. Something that intrigued me about what you said, and I think a lot of people can relate to it, and I know I can because that was me, is you created your own content or your science content. Like you’re kind of piecing that together from what Ryan had shared with you. How do you make time for that with all of the other things that you’re doing and pressures of state testing and things like that. Like how do you weave that into your teaching?

Lauran Woolley (05:02):

So we have like things that are non-negotiable in our schedules. Like we have to have so many minutes of this, so many minutes of that, so many minutes of whatever else. Well, the first year, I was self-contained. I was like, okay, my main goal, because science is a tested area, I wanna make sure that I get in science every single day, 90% of the time I’m able to get anywhere from 30 to 45 minutes of science every day. But this year it was my goal to make sure that I was getting science done and like we were doing meaningful lessons. And last year I didn’t do this, but this year I’m doing a Christmas center for STEM. So I got it off of Teachers Pay Teachers. I’m sorry, I can’t remember who it was made by, but it’s called Jingle All the Way and it’s like building Santa’s new sleigh. And so like the kids have an activity where they have popsicle sticks, straws, a plastic cup and then like tape. And they have to build a new sleigh for Santa and see how many pennies their sleigh can hold. Like talk about a sleigh being lightweight but also strong and like what would make it strong and different things like that. So I’ve been trying to incorporate a lot more STEM activities. And then something I really like to use for experiment days, I call them lab days, is Gizmo. Have you heard of Gizmo?

Eric Cross (06:15):

Yeah. The simulations.

Lauran Woolley (06:16):

Yeah. My brother showed me that too and he was using it in his class. I mean there’s so many different ones that they have that align with the standards and they have like student lab sheets that go with them and teacher guides and stuff. I’ve just been trying to like up my game a little bit more this year, because last year I was like struggling to get all of the standards in before state testing came around because, can we agree, state testing should not be as early as it is? Our state test happens in like March and we have two months of school left. So like, we better be done with standards by February so we could review, because otherwise we’re kind of outta luck because we run outta time.

Eric Cross (06:59):

Yes. That and there’s all kinds of other things that state testing brings with it that we could spend a lot of time probably critiquing and talking about like as far as what’s ideal for kids and what’s the best way to measure and assess learning. That is one question I wanna ask you though, because I know with your work on TikTok and Instagram and YouTube, you must be connected to a pretty vast teacher network and maybe you have like, kinda like more of an inner circle of people, but you must come across so many different perspectives and get into great discussions. Is there <laugh>, is there anything that kind of stands out to you as far as if you were in charge of what we’re doing? Because that’s kind of the system that we all live in and we kind of are trying to internally change it, but it’s been that way for a long time and we just kind of have to work within it until we can make changes. But if you were to, I dunno from an elementary school perspective, change or modify the way kids are learning, what would you do if you had Monarch ability?

Lauran Woolley (07:54):

Okay, I got three main things I’m thinking in my head. Okay, first things first, we got Maslow’s hierarchy of needs. Okay. If kids are coming to school hungry, if they’re coming to school and don’t have, you know, fresh clothing to put on, if they’re coming to school and they have issues at home that they are dealing with, that they are not okay with, the learning is not happening. That’s secondary. They don’t, it doesn’t matter to them. It doesn’t matter to me because what’s most important is that child as a human being and whether or not they’re okay. If I had unlimited resources, I would love to be able to build like a little mini village inside a school and have like a clothing store that kids could grab stuff from. Or like a, you know how I know how school have like closets and food pantries, but like a real place they could get some new clothes, not like hand-me-down clothes, like a store they could go and grab some food if they needed food for their homes or whatever. We have like an onsite counselor but not like a school counselor, like a therapist-type counselor for like mental health. Having some kind of like health clinic, not just like a school nurse because, let’s be real, our school nurses see everything <laugh> and they do not get enough credit, but like to have like a little like urgent care clinic, like basically a small town <laugh> inside a school that like kids would have all of the resources that they need met. Like that would be my number one thing that I would love to do. I have taught in, you know, I’ve only taught in two different schools, but like I’ve seen a lot of things and the number one thing that keeps coming back is just like home lives and mental health and having someone to talk to.

Lauran Woolley (09:41):

And I think our kids don’t have enough of that. Second of all, would be obviously state testing. Because I mean, it’s good to see like where our kids are at. I don’t think it should be used punitively and I don’t think that it should be putting as much pressure on teachers and students the way that it is. It’s not effective that way at all. Let teachers do their jobs without us having to, like, ’cause honestly, who’s not gonna say that they’re not trying to set their students up to do the best on that test. Our evaluation depends on it. I’m gonna make sure my students are prepared for it. I’m gonna teach all the standards, but like, I shouldn’t have to be teaching so that they could do well on a test. I wanna make sure that they’re ready for the real world and I wanna make sure that they’re able to apply these things that I’m teaching them in their life, not on a multiple choice test. Third of all, <laugh>.

Eric Cross (10:33):

This, this is great. And I think a lot of teachers will listen and be like, “That’s what I’m talking about right there.” Keep going. You’re on three.

Lauran Woolley (10:40):

That would be two teachers in every classroom. Either two teachers in each room or like a teacher and a paraprofessional in each room, because there’s not even an argument that teachers are more effective when they have help.

Eric Cross (10:54):

I would even carry the math on further and say that it’s a force multiplier, like exponentially, that it’s not just, it’s not just like a one plus one equals two teachers. It’s almost like you can almost have like three or four just because of the energy and the synergy that can be created between the two. And you can push off of each other, encourage one another and both support different types of students. So I agree a hundred percent. I think that if you had two teachers that were in sync and planning together and talking about kids all of the time, you would be able to go deeper with students. You’d be able to find out those things that you talked about in Maslow’s because sometimes we don’t find out about it until a parent-teacher conference or kids left our classroom. I wish I would’ve known that. The student was without these things in the very beginning.

Lauran Woolley (11:41):

Absolutely. Mm-hmm.

Eric Cross (11:42):

So when do you start in the school and do we go on LinkedIn to sign up and apply or is it like a lottery system? Like, ’cause you know, I was gonna get a lot of attention.

Lauran Woolley (11:52):

I would love to Oprah Winfrey this and like build my own school <laugh>.

Eric Cross (11:56):

We gotta get those followers up. We gotta build up the sponsorships. We gotta get you up to a hundred million.

Lauran Woolley (12:01):

Listen, if all of my followers across all my platforms donated like $2, we could have $12 million to build a school. <laugh>.

Eric Cross (12:10):

Think about like, DonorsChoose, right? People do that. And I know there’s mixed feelings about it because we need stuff in our classroom. I’m just gonna say that. All right. So, whether I have to ask for it on a website or whatever, but people want to give directly to kids, or people who need it. And I think when there’s opportunities like that, that are visible, people are more likely to want to.

Lauran Woolley (12:29):

In reality, should other people have to fund education in classrooms? No. That’s literally what your taxes are for. A government-funded classroom versus a teacher-funded classroom are two different things. And we know that. But if teachers are asking for things or asking for donations on Amazon or on DonorsChoose, just know in your heart that that teacher has probably already shelled out a lot of their own cash to do that. It’s not that they’re, you know, asking for handouts or anything like that. They’re trying to give their students the best that they can and that’s the thought process behind it. And until we get changes in our education system or changes in legislature that will allow us to do that or will allow classroom budgets, I mean, our hands are tied. Like there’s only so much teachers can do. I’m very fortunate to teach in a district that sees the value in spending money on their teachers and students. And, like my school, like I said, they just shelled out thousands of dollars on a new math curriculum. They bought school supplies. Literally every teacher made their school supply list this year. And then the district went in and paid for every single student’s school supplies in the entire district.

Eric Cross (13:49):

Can we get a shout out to your district real quick?

Lauran Woolley (13:51):

Uh, yeah. I mean, shout out Leetonia schools like, I mean, you guys are awesome and I’ll shout that from the rooftops. I love where I teach. Like I really do think that they value our students and they care about our students and our admin is great. We got a new superintendent a couple years ago. He’s been doing a phenomenal job and I really love it and I’m glad I teach there.

Eric Cross (14:12):

When you move out of the classroom, you know, in any position of leadership, you do have the microscope or magnifying glass on you and a lot of times it’s critical. And not unjustifiably so, I mean, there’s a lot of things that can be critiqued. However, what we don’t always hear is the success stories or where it’s working for teachers and why. And we need leaders to be able to talk to each other and find, “Hey, it’s working in your district? Oh, I just heard, I just heard this district get shot out. I’m gonna go reach out to those people. Hey, what are you doing?” Because we connect with each other, but I think when you go like a level up, that kind of getting up the top of the mountain, the, the connection sometimes can become more difficult for people. There’s not a lot of, I don’t know, maybe there are, but admin influencers.

Lauran Woolley (14:54):

Oh yeah, there definitely are. And I’ve met some really incredible ones. I’m on a committee at my school, it’s called NNPS, it’s the National Network of Partnership Schools. It was started out of Ohio State University. Essentially it is a committee in the school that’s dedicated to bringing together the community and businesses and partnering with people to make our school as strong as it can be. We started last year and we did a bear breakfast, ’cause our mascot is a bear. And we had Christmas things and we had the choir caroling, and we had pancake breakfast for everybody and it was completely free. It was just really nice to see everybody come together. And it feels like the culture changes when people work together and come together for the betterment of the school and for the students. And I think what’s challenging is that so many people have such a negative experience from their schooling that they’re hesitant to get involved in their kids’ schooling. I urge any parents out there, any guardians out there that are, you know, in that mindset where you’re like, I didn’t like my teachers in school, or I had this, this, this and happened to me at school. Give it a chance to know that things have changed and things are changing.

Eric Cross (16:11):

I definitely agree with you about parent engagement and getting involved and sometimes parents, they just don’t know that they should. But wow, your voice is so powerful, especially at board meetings and things like that. Getting stakeholders involved, creating community, which it sounds like your school did a great job or your district did a great job of. The last question I wanna ask you, and it’s kind of going back to who your influencer was, is you now are in a position where your impact exceeds more than, you know. You’re planting so many seeds you’re sharing, and you’ll hear maybe a few, or I’m sure you’ll hear the things that kind of come back to you, but that’s only a fraction. But I wanted to ask you, like, as you think back on your career as an educator or when you were in school K through five or K through 12, is there anyone who stands out to you or who was maybe your influencer or teacher who made a big difference that was memorable? And if so, who was it and what was it about them or what did they do?

Lauran Woolley (17:01):

So I had a lot of teachers that I really had good relationships with and I loved school growing up. But one always stood out in particular, and that was my ninth grade English teacher and her name is Andrea Reid. She was the first person who really told me that I was talented at something and that I could succeed in something because she was the English teacher. She was also a coach of the speech and debate team at my high school. Just one day after school. She was like, “Hey, like you should come to speech tryouts.” So I went to tryouts, like I did it not thinking like I cared if I made it or didn’t, and then I made the team. And honestly, I feel like speech was the starting point of all of it. I competed in speech and debate for four years of high school and she was my coach.

Lauran Woolley (17:49):

I always have horrible nervousness with public speaking, even though I do it a lot. And she would always give me like the best hype speeches and the best confidence boosters. And I feel like speech started my love of acting and started my love of like, you know, comedy and stuff like that. And so therefore TikTok happened and I don’t think any of this would’ve happened had it not been for her and her opening that door for me and telling me, “Hey, you would be good at this. You should try it.” We’re still friends to this day, 15 years later, and she is like an older sister to me and I love it.

Eric Cross (18:26):

That’s amazing. Andrea Reed, that’s her name.

Lauran Woolley (18:28):

Andrea, yep.

Eric Cross (18:29):

Andrea. Andrea Reid. Ms. Reid, thank you, for inspiring Lauran and <laugh> because of your impact, now it’s impacting so many others and as teachers, like, we don’t even, we don’t know, but it’s so humbling to know that like the words that we say to people have that impact and power. It’s so, it’s, it’s so inspiring to me. One of the things that resonate with you so much is your transparency. Like in your depth. Like even as just listening to you talk, you normalize and humanize so many things that we experience and I’m sure that’s what a lot of the people that watch you connect with. You show your life, your family, your house, all these things that are happening. And I was just looking through the comments and there’s just so many people that are warmed. Not just your students, but like so many teachers. So thank you for doing what you’re doing and I wish you tremendous success. Thank you for your time.

Lauran Woolley (19:17):

No, thank you so much for having me. This was awesome. I just wish everybody a great school year and I hope that we all make it through winter break. <laugh>.

Eric Cross (19:27):

Thanks so much for listening to this season of Science Connections. I love learning about science educators just like you. You can nominate educators that inspire you to become a future guest on Science Connections by emailing STEM@amplify.com. That’s S T E M at amplifycom.wpengine.com. Make sure to click subscribe wherever you listen to podcasts and tune in for a brand new season of Science Connections coming soon.

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What Lauran Woolley says about science

“I want to make sure they’re ready for the real world and I want to make sure they’re ready to apply these things I’m teaching them in their life, not just on a multiple choice test.”

– Lauran Woolley

5th Grade Teacher, Northeast Ohio

Meet the guest

Lauran Woolley is a fifth grade teacher in Northeast Ohio. She has loved being able to combine her love of education and entertainment into one career. Her goal is not only to humanize educators to both families and students, but to create a safe space for her students on the internet. She has had the privilege of collaborating with educators around the world to shed a light on this amazing career. You can listen and watch the Teachers Off Duty podcast here!

A woman with long dark hair smiles at the camera, wearing a black top and lanyard, with a colorful blurred 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. 

S5-04. Coaching tips for managing math anxiety in teachers

A blue graphic with text reading "Math Teacher Lounge" in multicolored letters and "Amplify." at the bottom, with abstract geometric shapes and lines as decoration.

So far this season, we’ve investigated math anxiety in students and its causes with passionate researchers and curriculum experts, including one from Sesame Workshop! Now we hear from Dr. Heidi Sabnani, consultant, coach, and co-host of Math 4 All, as she gives us research-based tips for teachers who are facing math anxiety themselves! Listen as we discuss Heidi’s own math anxiety and journey through math, the effects teacher math anxiety can have on instruction, and practices educators can implement right away for overcoming math anxiety.

Listen today and don’t forget to grab your MTL study guide to track your learning and make the most of this episode!

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Dr. Heidi Sabnani (00:00):

Coaching is the opportunity to provide that just-in-time kind of professional development for teachers, if we go at it in a slightly different way.

Dan Meyer (00:10):

Hey folks, welcome back to Math Teacher Lounge. I’m your host, Dan Meyer.

Bethany Lockhart Johnson (00:14):

And I’m Bethany Lockhart Johnson.

Dan Meyer (00:16):

Bethany, how are you doing, and how are you feeling about our current trajectory through this exploration of math anxiety?

Bethany Lockhart Johnson (00:24):

Dan, I gotta tell you — let me make it about me for a second. <laugh>.

Dan Meyer (00:29):

Go. Do it.

Bethany Lockhart Johnson (00:30):

If only I had known that so many other people experienced math anxiety, and I wasn’t the only one. I mean, I’ve said it before, but you know, I hope that this series so far is helping to reframe math anxiety for folks who maybe have a narrow definition of it … and I guess expand, reframe. And also, for those folks who are working with students who have math anxiety, or who they themselves have experienced math anxiety, I hope they’ve found some tools, some resources. Right? Like, “Yes!”

Dan Meyer (01:04):

Yes! Same.

New Speaker (01:06):

And what about you? How are you feeling?

Dan Meyer (01:08):

Yeah, I hope this has been cathartic for all of our listeners who have experienced math anxiety, and not re-traumatizing, that there are lots of people who feel this way about math in particular. And that it’s so well-experienced, so broadly experienced, that people have decided to study it a whole bunch. Which is great. And now we’re moving into our kind of solutioning. You know, in my relationships, I’m sometimes told that I rush too quickly to solutions before trying to understand what’s going on. So I’ve loved our episodes that have been about what is going on. And now, with Dr. Truglio last episode and our guest today, we’re moving more into some solutions, which I’m excited about.

Bethany Lockhart Johnson (01:49):

I don’t know, Dan, I think next time I see you I’m gonna bring a list of some concerns or worries I have, and I would love if you just get right to the solution. I’m actually OK with that.

Dan Meyer (02:01):

All right. Good to know. Good to know. I’ll say I am coming off of a day where I was feeling some teacher anxiety today, because I taught really real students. So just to let you know where I’m coming from here. I taught some seventh grade students at Montera Middle, here in Oakland Unified School District. Taught ’em a lesson outta the Desmos curriculum. And it was one of those lessons where some thorny stuff comes up. I’m talking students who are wrong for smart reasons, who are right for the wrong reasons, and their minds are working so hard trying to figure out inequalities. And I’m like trying to just step into that process as an educator with some curriculum and help shape those ideas. But it’s just … I don’t know, you want it to be as easy as like, “let me just show you how it’s done a few times, and now you got it.” But whew, some of these ideas, they take a long time to form up and they’re really easily reshaped by lots of stuff going on. So that’s where I’m at, anxiety-wise, right now. The teacher anxiety stuff.

Bethany Lockhart Johnson (03:04):

I think there’s probably plenty of teachers who do kind of just say, this is how you do it. And so, from what I have seen of your teaching and what I know of the Desmos curriculum, it is such an opportunity to think hard about the things that we are assuming about our students, assuming about what we know about the math itself. And yeah, that requires some thought.

Dan Meyer (03:30):

Yeah, for sure. I came in ready, like, “When you multiply both sides of an inequality by a negative, this sign flips around.” And I could just say that to kids and say, “Hey, remember that! Write that down!” And a lot of them would do it really well, you know, provided the assessment problems looked like ones we’ve gone over in class. And they’re also learning — in addition to that math, they’re learning that math is a giant sack of tricks they gotta memorize, right? So there’s just these pros and cons. And at the end of the one period I’m gonna teach this week, I was like, “Well, your teacher’s gonna go over that tomorrow, when they’re with you instead of me.” So it felt a bit like I copped out on that one. And I’m just in in my feelings about that right now. And I’m gonna try to come on down here and be present in the math-anxiety world.

Bethany Lockhart Johnson (04:25):

I appreciate you sharing that, Dan. And I think … I have a feeling that you could write a pretty catchy rhyme to allow the students to flip and <starting to rap> “multiply by negative. and dit-dit-dit-dit.” Can you feel it? You picking up that beat?

Dan Meyer (04:40):

Ooh, yeah. A nice little beat. Uh-huh. Yup.

Bethany Lockhart Johnson (04:41):

Yeah. You know, you could come up with something pretty clever, and yet you did not lean on your wordsmithing skills. You said, “No, let us dive in.” So what are you gonna do with this lesson, by the way? What happens now? You popped in for one period, and then what happens?

Dan Meyer (05:03):

Yeah. So this is gonna be a blast. I hope you folks tune in. We’re gonna actually release the footage of me teaching this lesson live. You know, it’ll be replayed live. And on top of that, a couple of my favorite teacher coaches and just smart people about teaching are going to be giving commentary. They are gonna be giving the director’s commentary, the sports announcers’ commentary on what they’re seeing. I beg for their generosity in their commentary. But I think it’ll be a lot of fun. I’ve never seen anything like this before, a commentary track on top of a teaching lesson, in this way. So I’m just gonna gonna be excited to see what they noticed that I didn’t, what they might have done, the thoughts they might have. Maybe I’ll do a post-game interview, you know.

Bethany Lockhart Johnson (05:50):

Ooh, yes!

Dan Meyer (05:50):

With my towel around my neck, <laugh> looking all sweaty.

Bethany Lockhart Johnson (05:54):

Ready, set, grow!

Dan Meyer (05:55):

Like, “Yup, we gave it all out there, you know, just a real team effort.” You know, that kind of thing. We’ll see how that goes.

Bethany Lockhart Johnson (06:02):

I actually love that idea. I love that it’s not just this one random lesson that just kind of floats out there, and it’s about, you walk away with whatever feelings you have, and the students obviously walk away, but that this is gonna help other educators.

Dan Meyer (06:17):

Yeah. Yeah. We’ll multiply my anxiety and make it more people’s anxiety. We’ll see how that goes. So stay tuned on the Math Teacher Lounge feed for that. All right?

Bethany Lockhart Johnson (06:25):

All right! And speaking of anxiety, Dan Meyer, we gotta get to today’s show. You know, last time we had some amazing strategies for helping students from Dr. Truglio from Sesame Workshop. I gotta tell you, I sent that episode to so many of my friends, like, “Listen to these ideas!” and have had some interesting follow-up conversations. And we would love to hear what you think about this season so far, at MTLShow on Twitter or in our Facebook group, Math Teacher Lounge. So today, we’re gonna focus on strategies for supporting teachers.

Dan Meyer (07:00):

Yes. Which is why we’re so excited to bring to you folks Heidi Sabnani, who — we’ve had researchers. We’ve had Sesame Workshoppers. And Heidi Sabnani has been a classroom teacher; she’s teacher-consultant; newly minted doctoral degree holder. We’re so pumped to bring to you folks: Heidi Sabnani.

Bethany Lockhart Johnson (07:25):

Dr. Sabnani, thank you for being here. Can we call you Dr. Heidi? What would you. …

Dr. Heidi Sabnani (07:31):

You can just call me Heidi. Yeah. Heidi is good.

Dan Meyer (07:36):

Right on.

Bethany Lockhart Johnson (07:36):

  1. Heidi, thank you for joining us in the Lounge. We’re so excited to talk with you.

Dr. Heidi Sabnani (07:41):

I am super-honored to be here. It’s really exciting and I just really appreciate the opportunity.

Bethany Lockhart Johnson (07:47):

I will say I don’t have a PhD, although the two people I’m talking with right now, both do, and you’re both like holding up your degrees as we speak and saying, “Wah-wah.” But I imagine that if I did, I’d wanna throw that doctor in more frequently, so.

Dr. Heidi Sabnani (08:02):

Well—

Bethany Lockhart Johnson (08:03):

If I sneak in a “Doctor,” Heidi, it’s only out of respect.

Dr. Heidi Sabnani (08:05):

  1. I appreciate it.

Bethany Lockhart Johnson (08:07):

Dan makes me call him Dr. Meyer all the time.

Dan Meyer (08:10):

You don’t call me Dr. Dan or Dr. Meyer, ever. So—

Bethany Lockhart Johnson (08:13):

I will now!

Dan Meyer (08:14):

—this respect only goes towards Dr. Heidi, it seems. But yeah, we’ll take that off the air.

Bethany Lockhart Johnson (08:19):

Well, we are going to delve into your research on math anxiety soon, because I actually — speaking of becoming a doctor, a new doctor, I have some questions. We have questions about your research, but on a personal level, I really appreciated the way that you share that you yourself experienced math anxiety as a student. So I’m wondering if you could tell us a bit about your own math anxiety, your <laugh> journey through math.

Dr. Heidi Sabnani (08:50):

Yeah, so much like the people in the research that I did, and with the research that I read by others, many of us can tie the beginnings — or like the evil villain origin story of math anxiety — to a particular event, or series of events. And my series of events started, the big blow-up, I guess, in fourth grade. And I had had some struggles in school — I have mild dyslexia and dyscalculia. And so I had always been in the special group of kids who got some extra attention <laugh> from the teacher, or from an aide, or whoever happened to be in the room. But in fourth grade — at that time, they taught multiplication and division facts in fourth grade. Many, many moons ago. And I struggled greatly with just understanding what was happening and why we were moving so quickly. And, my teacher was probably not the best person to be entrusted with my learning at the time. Like, her style may have been OK for others, but it was obvious that she felt like kind of wasting her time with some people in the classroom. And I happened to be one of those people.

Bethany Lockhart Johnson (10:26):

Mmm. You said that really diplomatically, though. <Laugh>

Dr. Heidi Sabnani (10:30):

Well, you know, you look back at things from the perspective of many years. And having made lots of mistakes myself in the classroom as a teacher, I try to give some grace to things that happened, and how you remember them. Yeah, that’s my story, but maybe she had a different one, right?

Bethany Lockhart Johnson (10:55):

Yeah. But fourth grade Heidi was still, you know, still experiencing that. Yeah.

Dr. Heidi Sabnani (11:01):

Yeah. Fourth-grade Heidi didn’t like being in the “dumb group” and didn’t like being told that she would probably not graduate from high school. So that was kind of the general environment. And I got further and further behind in math. The dyslexia was less and less of an issue the older I got, because I had great comprehension. And so I could figure out the fluency thing just by the pattern of language, because mine is mild in comparison to so many who struggle with that. But math was not working in that same way. And I got more and more behind and to the point where I was having to stay in every day at recess. And I had had it after like a month. Like, I’m not staying in at recess anymore to do this math that I don’t understand, by myself. Like, not doing it. So I—

Bethany Lockhart Johnson (11:53):

Which, by the way, if there’s one way to make you hate it, <laugh> like, to engender, to endear you to a subject, could it be, “Let’s have you stay in at recess”?

Dr. Heidi Sabnani (12:07):

Right. And so one day I just stormed out of the classroom, I was like, “I’m not coming. I’m not staying, I’m not doing this anymore. I’m done.” And I can remember her standing up at the top of the hill screaming at me to come back, and I was like, “No way. Not doing it. Done with this.” I went to a parochial school, though, and my dad is a pastor. So that whole little incident blew up in the greater community in a way that I didn’t really anticipate as a fourth grader. And my parents had no idea that this was going on. And so they were shocked and dismayed that their — up until that point — oldest child, rule-follower, had done this. But then even more upset when they found out what was happening with my math understanding, or lack thereof. And they did what they knew best at the time. So my mom was a great memorizer. She has a brain like an elephant. And my dad grew up in the British system in India and Singapore, and it was at that time very much based on memorization. And so they were like, “We are gonna just work really hard. We’re gonna buckle down and do this thing <laugh>.” And so that’s what we did, and that’s where all of it began. It was not — it was just about “We’re gonna learn the facts. We’re not gonna ask questions; we’re not gonna think about it, because it’s just the rules. And if you can figure out the rules or the system or what the teacher wants, and mimic what the teacher is doing, then you’ll be successful.” And it was really successful for me, once I figured that out all the way through. My whole goal in high school when I took high school math was to take enough math courses with a high-enough GPA that when I got my BA in college, that I would never have to take math again. And I succeeded in that and got an English degree and a Master’s in world lit. And I was in no way doing math ever again.

Bethany Lockhart Johnson (14:31):

But little did you know that Future You was going to be researching math anxiety. How did you wind up researching it then? How did you wind up researching math anxiety?

Dr. Heidi Sabnani (14:43):

So I took a job in school improvement when I was working in Ohio, after a number of years teaching high school English in Southern California and Guatemala and Michigan, all over the place. And I took a job in school improvement with a co-consultant who was gonna be doing the math end, and I was gonna be doing the literacy end, and we were just gonna go in, and I was gonna make kids love reading, and she was gonna make kids love math, and it was gonna be so fun. And then she decided she didn’t like working with adults and they couldn’t find anyone else. And my boss said, “So you’re just gonna do both for the rest of the year.” After that year, I got requested to go back and, and do this again. I said, “Well, if I’m gonna do this, I’m going to go back and reteach myself the math in ways that I wish that fourth-grade Heidi had learned it, and fourth-grade-and-up Heidi had learned it.” And so that was like the, the beginning of the switch. And so now equal amounts of time in my career have been spent in both. But when I started, when I continued working, when I left the classroom to continue working with teachers, and when I transitioned more into an elementary setting, I began to notice the same behaviors that I had in high school of avoiding math, and avoiding teaching math, were happening in the classrooms that I was supporting. And so I would have teachers come and say, “Oh, can we talk about this literacy thing?” And even if it was like a math meeting, or we were supposed to split the time evenly, and ohhh, for some reason the literacy time talk would just like move over <laugh>. And then there was no time to talk about math at the end. And “Oh, that’s just too bad.” Like, we’re just gonna move on to this next thing. Funny how that happens, right?

Bethany Lockhart Johnson (16:32):

Yeah. <laugh>.

Dr. Heidi Sabnani (16:34):

And noticing teachers’ behaviors around going to and or avoiding math professional development that I was giving. Or getting sick. Or like having to leave the room for a long period of time. And so I began to notice these behaviors. And initially I thought I wanted to look at math anxiety in children, which is one branch of the research that I started with. But as I got into things more, the people that I have the most influence in are adults right now.

Dan Meyer (17:09):

Right.

Dr. Heidi Sabnani (17:09):

And so as I started looking at the research that had already been done, I feel like we do a really nice job of admiring the problem of math anxiety, and we do less in the “what to do about” phase. And so I was like, “Well, if I’m going to continue to be in this career and in this profession, then I need to be doing something in the space of ‘what are we gonna do about it?’” And so that’s how I switched to looking at “what do we do to help teachers?” Particularly elementary school teachers, because that’s the area of greatest need, based on previous research that we could at least do something to help.

Dan Meyer (17:51):

Yeah. A previous guest mentioned that a lot of research is better understood as me-search, especially in this kind of arena, where we’re going back in to try to understand what it was that happened for us and how to prevent it for future generations. And I have nothing but respect for that motivation right there. And your point is well-put, that it is very possible to spend a ton of time examining math anxiety from every angle, every facet, you know, put it up there on a mounted board and admire it … and there’s a lot of value there, but I appreciate that you’re moving into, “So, now what?”

Dr. Heidi Sabnani (18:27):

Yep.

Dan Meyer (18:28):

And so I’d love if you’d share with us and our listeners the broad details of your study, and what you ultimately found. Like, if there are any large takeaways here, what were they?

Dr. Heidi Sabnani (18:40):

Yeah. So a couple of things to kind of just lay a little bit of the groundwork. One out of four teachers say that they have math anxiety. Those numbers increase rapidly, the younger of the grades that the teachers teach. So if we think about preK to two, it’s about 88%, based on other people’s research. So I was like, “Well that’s a lot of people <laugh>!” And so, that’s the scope of the problem. And so I was thinking, “OK, what do we do in these moments?” Because other researchers had said they’re spending — when they don’t like it, they’re spending less time teaching math and avoiding it, or relying on methods that were done to us. Just out of fear of trying something different, at many times. And so one thing that has become more prominent in math education since I transitioned 16 years ago into this has been the role of coaches in school systems. And so one of the questions I wanted to think about was, “What can coaches or math specialists who work with adults as well do to help the teachers that they work with?” So that was kind of the lens that I was looking at. Like, let’s think about the systems that we currently have in place. Is there something that we could be doing that would help teachers, that wouldn’t be so huge or so monumental that with little shifts in our own behavior as coaches or professional development providers that we could make that would make a difference? So that being said, this was a qualitative study, so a small group of people in very intense settings. So I kind of always wanna preface that, because in academic world, you know, there’s <laugh> all sorts of thoughts about that. So I had asked teachers from districts that I work with who self-identified as having math anxiety if they would be interested in the study. So, this is what we’re thinking of, this is what it would look like, and the scope of the support they would have.

Bethany Lockhart Johnson (20:50):

So basically you’re tracking these four teachers who self-identified as math anxious. And were you serving as their coach and kind of seeing what was working?

Dr. Heidi Sabnani (21:00):

I was serving as their coach. Yeah. I was serving as their coach during that time period. And some fairly recent research that had been done was in the idea of “Can we do some reflective conversations or reflective writing around where your math anxiety started, and how that makes you feel both as a teacher of mathematics now, because you are teaching math, and how that affects your identity as a mathematician?” And so that was the first starting point. And that was a really critical moment that I’m glad that I had stumbled across the research on, because it turned out that having someone hear and acknowledge that what happened to them was both wrong and inappropriate, in many cases, and in a couple instances, was traumatic and also abusive — that that mattered. That it was OK to feel anger and hurt and frustration based on what happened to you in the past. And then have that moment to reflect on, “OK, so what do you want the classroom environment that you’re building as a teacher to feel like for your students?” So it was turning that moment of how they felt to thinking about, then, what kind of environment do we wanna make within the math classroom? And what steps can we take to ensure that happens? So that was like, Step One is just thinking about what that looks like. What kind of math identities then do you want to create for your students? Because all of the teachers were very concerned with not continuing the cyclical nature that often happens with math anxiety, from teacher to student and back again.

Bethany Lockhart Johnson (22:54):

Well, and even that validation, right? Like, how many of them hadn’t even had, like you said, had that? We had another, when in our first episode, Dr. Gerardo Ramirez talked about that validation and how key.

Dr. Heidi Sabnani (23:09):

Yeah. That was the first thing. The next step of it, which very different from what I often do — I don’t generally go in and model for teachers — just me, taking over your classroom. I really like to co-plan with teachers and co-teach with teachers and have it not feel like they’re losing control over what’s happening in that moment. And that’s generally the way that I go in when I’m doing professional development in a classroom, right? Like, I’m working with the teacher and we’re a team; we’re doing this together. But in these four cases, these teachers were very, very resistant <laughs> to co-teaching. And so I said, “OK, well, let’s throw everything out. Let’s try whatever it happens to be.” So the modeling aspect turned out to be really important, in part when three out of the four cases, because they were like, “Oh, I can do that.” <laugh> like, Well, yeah, I know you can! Like, it was that having a moment to sit back and see someone else doing it — which is harder to do when you’re co-teaching, right? It’s harder to be reflective in the moment when you’re still thinking about the teaching choices you’re making, because you’re both co-teaching.

Bethany Lockhart Johnson (24:24):

Right. Or sometimes you see, like in co-teaching, it falls into “one teach, one manage,” you know, or something like that.

Dr. Heidi Sabnani (24:31):

Yes.

Bethany Lockhart Johnson (24:31):

I have definitely fallen into that. But you, by modeling … it was almost, I don’t know, it feels like you’re kind of holding their hand. Like, “I’ll show you!” And not that it has to exactly look like that, right? But you found if a coach is coming in and the teacher gets to sit back and basically watch their students learn, they’re probably gettinga ton of information about their students, and they’re really learning some teaching strategies for mathematics that they can then like dip their toe in. I think? <Laugh> Am I kind of thinking of this? I’m trying to picture this and it feels rich and rife with possibilities <laugh>.

Dr. Heidi Sabnani (25:16):

Well, and it, it turned it from … I think sometimes, when I go into a classroom, I learn so much from watching teachers and being able to sit and listen to students, that you don’t always have the luxury of when you’re the teacher. <Laugh> Right? It’s so much harder to be like, “OK, I’m gonna be watching what a kid does, because I’m hoping someone uses this strategy, so I can connect it to this other person’s strategy, so that we can take that apart and look at it and really have immediate discussion around it.” Those are all so many things that are happening in the moment as a teacher. You don’t get to sit back and look at it from a researcher kind of lens. Or look, you know, from the up-above lens. And when I had these conversations with teachers, I was like, “That’s what I want you to do. I want you to be able to sit back and look at all the things that are happening.” Because then you begin to notice not only the moves that the teacher — in this case, me — who was modeling for them was doing, but also the student conversations. And it was almost like having a case study within that moment, where they got to sit back and just experience, versus thinking about all the decisions that they would make at the moment. So that was something that was really surprising to me.

Dan Meyer (26:33):

Yeah. And I love the idea that they’re seeing the pedagogical moves, but they’re also experiencing perhaps a sense of math that’s de-stressed. You know, they are allowing themselves to sit next to students and feel as though they are a student, in ways that if you’re co-teaching, you are still like enmeshed in the gears of the whole lesson. I wonder if that’s a part of this too. So I’m hearing from you that we’re taking these teachers who have all admitted to some math anxiety, and that one of the interventions, or one of the findings, was that modeling worked really well for, again, this set of teachers. But you modeling lessons that highlighted mathematics, that was less anxious, that helped the teachers see that students were engaging in really productive un-anxious ways, brave ways. Were there other kinds of takeaways that you experienced there?

Dr. Heidi Sabnani (27:24):

Yeah. So in addition to that, we had to think about and start at Step One. One of the teachers that I worked with had done her student teaching with a teacher who had math anxiety, and who never taught math. And so she entered her teaching career, never having taught math before or seen it taught. And so in her situation, she had had one course in her teacher preparation program, that was on fractions.

Bethany Lockhart Johnson (27:54):

That’s often the case, right? One math methods course! Help, we have to get it all in in this semester! <Laugh>

Dr. Heidi Sabnani (28:01):

<Laugh> Yes. And so she came in and said, “I feel like I have to start at the beginning.” And so there was no question that was inappropriate, or that we weren’t going to explore or think about. And so that was, I think, the starting place with that particular teacher. And then one other, who was kind of in her same age range, where we had to start thinking about, “OK, how did you learn as a learner? What ways are you seeing your students learn as learners? And then let’s focus on those first as the areas that you wanna explore in your teaching.” And so a lot of that ended up being much more visual and hands-on ways of exploring. And so those were some of the changes in, I think, pedagogy that were the most significant. In a couple of cases, these are early elementary teachers who had had one experience with manipulatives in their whole teaching career up until that point. And so one teacher brought me a bucket of Cuisenaire rods and said, “These are in my room. I don’t know what they are. <Laugh> Are we building things with them? Are they blocks that are just small? <Laugh> Like what are they for?”

Bethany Lockhart Johnson (29:20):

Yes!

Dr. Heidi Sabnani (29:21):

And so, <laugh> it was that idea of, “OK, let’s, let’s explore all the different ways that we can use these, and that we can think about how your students might learn best with this particular tool that you have in your room.”

Bethany Lockhart Johnson (29:34):

So hearing you talk about this research — which by the way, I know, you’re like, for our listeners, it’s all, “Quick, boil down your years and hours of research and synthesize it for us.”

Dan Meyer (29:50):

Your life’s work.

Bethany Lockhart Johnson (29:50):

In a little tiny neat package. But really though, even though I know there’s so many layers to your research, and your work with these teachers, I wanna flag for our listeners that even the things that you’ve identified for us, you were giving teachers space — as coach, giving teachers space, and validating their experience as a mathematician, as you know, as a young student, right? Making space for that experience and validating “Yeah, that was really lousy and your math anxiety is real.” Like, Step One is already powerful. And then you’re creating space where they get to be in their classroom as a learner, right? And have a lesson modeled. And then you’re creating more <laugh> space for them to learn and ask questions. And I have absolutely seen teachers like, “I don’t know what to do with these,” and kind of shove aside the district-provided tools or the curriculum-provided tools. And so even those things, Heidi — Dr. Heidi <laugh> — you know, even if … I don’t know, for me, I am listening to you and just holding those points in mind and feeling like that, alone, if a coach did even just that … I know there’s so much more to it, but what a powerful opportunity for reclaiming math as an educator, right? That’s what I’m feeling.

Dr. Heidi Sabnani (31:25):

Well, and I was hoping that there wouldn’t be … I mean, OK, it’s a double-sided hope. If there was something like so novel and so fantastic that was so different from the things that we have already at our disposal, that would’ve made a much better book or dissertation. <Laugh> But the reality is, there are things that we already know work. And we don’t often take the time or, or are given the time to be able to explore those things. Right? So even as coaches, you have district initiatives or things like, “this is what we’re working on this year,” and that’s fantastic, right? We keep those things moving forward. But if we’re thinking about coaching teachers with math anxiety, no teacher with math anxiety is going to be coming to NCTM.

Dan Meyer (32:16):

Right. Right. Or the training.

Dr. Heidi Sabnani (32:19):

Or the training. They’re like, “Oh, PD day? Literacy! Yes, please! Bye!” You know, it’s that piece of it. So when we have these moments, the coaching is the opportunity to provide that just-in-time kind of professional development for teachers, if we go at it in a slightly different way. It does not have to be huge. It can be things like, they feel that they’re stronger in literacy. Well, then, let’s explore some of the ideas around math, anxiety and math identity and examples of people who’ve overcome either those things or other barriers in their life. And how can those things help form not only your students’ math identity, but your math identity. And it gives entry points in ways that you have access to if you’re a person’s coach.

Dan Meyer (33:18):

So in that sense, I’d love to know from you, if someone came to you at a coach’s meeting at NCSM and asked you, “What is something I can do right now to support the teachers at my site and my district, who are commonly experiencing math anxiety?” What is something that you would offer them in that brief moment you had with that coach?

Dr. Heidi Sabnani (33:40):

So it is hearing their story first. That’s the big one. And then, can you, in your coaching, provide opportunities to slow down? We all have these pacing guides in some form or another, that drive the things that are coming. Is there a way that you can set up meetings a month or more in advance of the content that those teachers are going to teach? Can we explore a month in advance, that content? And ways to teach it and understand it? There’s the ways to teach it, but there’s also like, “What is this math and how do kids experience this math?” What kind of experiences do we want to have ourselves as learners and then have as kids? If we can create cycles like that, that then don’t feel so rushed. It’s so hard when we’re like, “Oh, we have a planning meeting and we’re meeting with our coach!” And you’re teaching this lesson tomorrow. “Learn all this stuff about adding and subtracting on a number line. Go!” It’s so fast. And so if we had those opportunities to build in cycles, where we could slow down that process, it would make a huge difference in the lives of so many teachers. And it’s finding that time and the willingness. If you listen to teachers, they will work with you. If you validate what happens to them, and acknowledge that sometimes that still happens to us. I mean, I still have experiences like that. Sometimes I’ll walk into a classroom and I’m like, “Oh, I forgot how to do that!” You know, like, “I’ve not reached that far in my remaking of my own education!”

Bethany Lockhart Johnson (35:24):

Yehhhh, heh heh heh.

Dr. Heidi Sabnani (35:25):

<laugh>. And you think, “I don’t wanna look like an idiot. I’m the math consultant who’s here to duh duh duh.” All of those things still come up. Yeah. And stopping and saying like, “OK, everybody, this is what’s happening to me right now.” <laugh> The vulnerability you have, you have to think about that. Even if you don’t have experiences of math anxiety in your own life. Let’s say you always rocked out in math, and you’re now a math specialist and you love it. You think it’s the most spectacular thing. There’s some other element in your life where you face some anxiety. All of us do. So it’s about thinking about, “OK, this is where I experience anxiety. Can I find that in the teachers that I work with? And then, can my teachers find that in the students they work with?” You know, the teachers, as they begin to reflect on their own experiences, began noticing which students always went to the nurse during math time, always asked to go to the bathroom during math time, always couldn’t find a pencil, or whatever it happened to be. And they began to be more aware of their students’ behaviors as well, and could then say, “Hey, let’s sit and talk about how you feel in math class. Like, I’ve been noticing that when it’s time for math, like your stomach hurts. Can we talk about like why that might be?” Because those teachers with math are more attuned, often, to those students. And so it just … the time factor, I guess is, is the bottom line.

Bethany Lockhart Johnson (36:59):

I just wanna say, it’s so great to have you in the Lounge. Because I think you’re really bringing this perspective that we haven’t talked about, which … we are not expecting coaches to walk in and know it all. That’s actually the exact opposite. You are allowed to be vulnerable. We are not saying, “Come,” quote-unquote, “Fix this.” It’s like, “Hey, how can you facilitate and make space?” And I feel like you have given us just a taste of like how that might be possible. And you know, I think even if it’s just a chance for teachers to reflect on their own experience in math, even that would probably be kind of revolutionary for — and I don’t say that word lightly — for some PD spaces, especially if they have another peer in their team that is like quote-unquote, “a whiz,” or like, “Oh, I don’t feel like I can be vulnerable in my math anxiety because this teacher seems to know it all.” But you’re creating space where it’s like, “Hey, we all have strengths. We all have areas where we could support each other.” And I love that invitation for coaches. I love that invitation for teachers. And … yeah. I’m just, I’m so glad we get a snapshot of your research. Again, I know, I respect that this is not the whole thing!

Dan Meyer (38:22):

Can we find … is there a link to your dissertation in the show notes, for those of us who peruse dissertations? Can we add something here? Think about —

Dr. Heidi Sabnani (38:29):

Oh, I have no idea!

Dan Meyer (38:30):

Just think about it. Just think about it. But —

Dr. Heidi Sabnani (38:34):

It’s somewhere on ProQuest. It did get some. …

Dan Meyer (38:36):

Right on.

Bethany Lockhart Johnson (38:36):

Is that a thing, Dan? Could I go, like, Google your dissertation?

Dan Meyer (38:39):

You definitely could. Yeah, for sure. It’s around. Yeah, same way. Well, that’s awesome. And I think it’s so helpful for those who write those enormous unwieldy essays to, you know, distill it in different ways. I hope it’s been … we’ve enjoyed so much, hearing you carve up a huge project into pieces that were really helpful for us to think about here in the Lounge. Thank you so much for coming on and hanging out with us. Dr. Sabnani, it’s been a pleasure.

Dr. Heidi Sabnani (39:06):

Hey, I’m happy to do it any time. Always the biggest joy in the work that I do is little changes in a positive direction.

Dan Meyer (39:18):

Right on.

Dr. Heidi Sabnani (39:19):

That’s all that this is about. Right? Whether it’s kids, whether it’s teachers, whether it’s administration. The work that we all do is so valuable, and it is more and more difficult over time. And just giving ourselves a little bit of space to think about and acknowledge that, I think, is really important. So I appreciate you all making space as well. And thinking about this idea. Because <laugh> we’re math people! And we don’t have math anxiety! Right?

Bethany Lockhart Johnson (39:51):

<laugh>

Dan Meyer (39:51):

So people would assume

Dr. Heidi Sabnani (39:54):

<laugh>. Yeah.

Bethany Lockhart Johnson (39:54):

Thank you so much. You’re welcome back in the Lounge anytime. <laugh> Thanks so much for listening to our conversation with Dr. Heidi Sabnani, consultant and co-host of the show “Math for All.” I can’t get enough about talking about math anxiety!

Dan Meyer (40:13):

Especially from people who are working with teachers so closely.

Bethany Lockhart Johnson (40:18):

Yes, totally. I loved that lens of, “Hey, look at what happens if we actually focus on the teacher’s experience and help them kind of reclaim this comfort, this sense of identity, relationship with math that’s positive. How does that impact their teaching?” I loved talking about it, and I’m really interested in how that work continues to evolve. So thank you so much Dr. Sabnani, for your time. And you know, listeners, please keep in touch with us on our Facebook, in our discussion group, Math Teacher Lounge Community, or you can find us on Twitter at MTL show.

Dan Meyer (40:58):

If you haven’t already, please subscribe to Math Teacher Lounge, wherever you get podcasts. Also, if you like what you’re hearing, please rate us and leave us a review. It will help more listeners find the show. And it just makes me and Bethany feel good about ourselves, too. You can find more information on all of Amplify’s shows at our new podcast hub. Go to Amplify.com/hub.

Bethany Lockhart Johnson (41:20):

You know, Dan, I also always like to say, I find most of my podcasts through recommendations from other listeners, friends, folks. So if you like what you’re hearing, share it in your teacher lounge. Just, like, on break, turn it up and start vibing and having the conversation right there.

Dan Meyer (41:40):

Yep. Yep. I got a better idea. Take the link to this podcast and then copy it and find the longest — the thread in your inbox with the most people on it. One of those ones that’s like, someone accidentally cc’d like 500 people, everyone at your school. Press “reply.” This is crucial. Not “reply,” but “reply all.” Paste that link in. Press “send.” Watch what happens.

Bethany Lockhart Johnson (42:04):

Nothing but good —

Dan Meyer (42:04):

Good fortune will be yours.

Bethany Lockhart Johnson (42:06):

Nothing but good things can happen when you send this to 500 people in the next 10 minutes. Next time on Math Teacher Lounge, we’re gonna be joined by Dr. Marjorie Schaeffer of St. Mary’s College for a conversation about math anxiety, and specifically Dan, how parents and caregivers, how their disposition influences the way their kiddos feel about math.

Dr. Marjorie Schaeffer (42:29):

I think the most important thing we know from literature right now is that high-math-anxious parents, when they interact with their children, their children learn less math over the course of the school year.

Bethany Lockhart Johnson (42:40):

And get this, she’s gonna talk to us about an app that just might be something worth, you know, heading over to the app store for.

Dan Meyer (42:49):

I’ve used some apps, I have opinions, and I can’t wait. We just share recommendations on apps with Dr. Schaeffer.

Bethany Lockhart Johnson (42:56):

That’s next time on Math Teacher Lounge. Thanks so much for listening.

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What Dr. Heidi Sabnani says about math

“Much like the people in my research, many of us can tie the beginnings or the ‘evil villain origin story’ of our own math anxiety to an event or series of events.”

– Dr. Heidi Sabnani

Consultant and Co-host of Math 4 All

Meet the guest

Heidi Sabnani is always surprised that she works in math education. She developed math anxiety as a young student and spent much of her school life and early career avoiding math. After teaching English in the United States and Guatemala, and earning her MA in World Literature, she found herself in the uncomfortable position of working in math classrooms as a school improvement consultant. Once she realized that her life was going to involve math, Heidi decided to relearn math in the ways she wished she had learned the first time around. 18 years later she is still learning with and from the students and teachers she has the privilege to serve.

Heidi’s doctoral research at Northeastern University focused on interventions for math anxiety in elementary teachers. She currently works as a consultant, speaker, and author.

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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 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!

Join our community and get new episodes every other Tuesday!

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

What Valerie Henry says about math

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

– Val Henry

Meet the guest

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

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

About Math Teacher Lounge: The podcast

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

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

What does problem-based math learning unlock for students? Part 2

Webinar series recap, part 2 of 3

Our webinar series explores how problem-based learning engages all students in grade-level math every day, and how instructors can bring problem-based learning into their classrooms.

We reviewed part 1 of the series in this blog post. Now, in part 2, we dig deeper into this key aspect of problem-based learning: transferring responsibility for learning to the students.

So…now what? “If you watched Kristin Gray’s webinar,” says educator Kathleen Sheehy, “You may be thinking, ‘I learned so much about the power of problem-based learning. Where do I get started?’”

In this webinar, Sheehy joins fellow educator Ben Simon to explore how teachers can truly make that key shift toward student-centered instruction. “It is a journey. So we are going to talk about the small shifts that teachers and others can make that add up to something big,” Sheehy says.

The role of the teacher in student-centered learning

Most adults were not taught to do math this way as kids—and many teachers were not taught to teach math this way. When teachers have a lot of content to get across in limited time, it can feel risky to shift to a style that requires a bit of letting go.

“Student-centered instruction helps us embrace the idea that people can come at math ideas from different directions,” says Sheehy. “It’s collaborative and social. It focuses on problem-solving with an emphasis on multiple strategies and flexible thinking.”

Problem-based math learning may not be the sage-on-a-stage model, where the teacher stands up front and acts as the only math expert in the room—but it doesn’t mean the teacher relinquishes control, either. You can have both student-focused instruction and solid classroom management.

“It’s not a free-for-all. It’s very structured,” says Sheehy. “The teacher also plays a role in providing instruction and then guiding their students to the key takeaways they want for them.”

Building stakeholder investment

To be most effective, problem-based learning needs to be not only focused on the student but supported by the community as well. This means you aren’t the only one who needs to adjust to the new approach.

What actions can you take to build stakeholder investment? How can you get the principal, other teachers, parents, and kids (who are also accustomed to another style of learning) involved and excited?

Be able to articulate a really compelling reason why student-centered instruction is right for your students. The following are just a few research-backed examples:

  • It helps students develop deeper and longer-lasting mathematical understanding.
  • It helps students grow as problem-solvers, engaging them in productive struggle and collaboration and learning core life skills.
  • It helps students develop a growth mindset, which reduces math anxiety, boosts math confidence, and helps them relinquish the idea that someone either is or is not a math person.

When the teacher is the supporter of knowledge, not the gatekeeper, students lead the learning process and feel more confidence with and connection to math, says Sheehy.

How and where do you communicate these ideas? Sheehy and Dixon have found that providing a short hands-on math experience with problem-based learning examples can be very effective. This enables stakeholders to experience the difference themselves, especially when conducted in a low-stakes scenario like a parent math night or PD training.

Sheehy also suggests asking them what they think the impact of student-centered learning would have been for them when they were students. “We’ve heard people say things like, ‘I would have been way less anxious about math if I’d learned it this way,’” she says.

Making a plan to start the shift

“We’re not expecting to create a masterpiece overnight. It takes time to develop the teacher and student skills and to establish everything that needs to be in place,” Sheehy says, “You can’t get better at all the things all at once.”

Where to start? “Size up the shift,” she says, and make a plan.

“Using very clear look-fors can enable educators to decide where to focus,” says Sheehy. “‘What would I look for if I walked into a classroom that is beginning to engage in student-centered instruction?’”

Here are a few key elements to look for:

  1. Management of materials, routines, and classroom setup in a way that facilitates collaboration.
  2. Establishment of a classroom community (using norms charts, etc.) around the core idea that everybody belongs there and is a mathematician.
  3. A teachable structure that models the thinking process and creates predictability, allowing students to focus.

Sheehy and Dixon have found that a focus on these three areas helps teachers name what they are trying to improve in a systematic way.

“Once I tackle this first area and feel successful with that, I know what I’m going to tackle next, and after that,” says Sheehy. “These look-fors can help you make informed decisions that, little step by little step, can help you eventually get to where you want to be.”

How Amplify Math supports problem-based learning

Amplify Math is designed to support problem-based learning, so you’re making that shift every time you teach. The program specifically supports teachers in the planning and delivery of problem-based lessons, and enables them to monitor student progress and differentiate instruction based on real-time data.

Lessons start with warm-ups that tap into prior knowledge, then move into problems that require collaboration to solve. Teachers monitor, engage, and ultimately synthesize student work into the main idea. There are also ample opportunities for practice and reflection. 

Learn more about Amplify Desmos Math.

Register to watch the recording.

Subscribe to Math Teacher Lounge.

How teachers can address math anxiety

How teachers can address math anxiety

No one is born knowing the quadratic formula, or how to measure a triangle—math needs to be taught.

Likewise, no one is born a “math person”—or not a math person. And no one is born with math anxiety.

“Children don’t come with math anxiety,” says Dr. Rosemarie Truglio, senior vice president of curriculum and content for Sesame Workshop and a guest on Math Teacher Lounge. “Math anxiety is learned.” That’s actually good news because it means math anxiety can be unlearned, too. We can teach students (and even teachers) how to overcome it. In this post, we’ll cover some helpful learning strategies, teacher tips, and supports for caregivers.

Anxiety in—and beyond—the math classroom

First, let’s review what math anxiety is and is not.

Math anxiety is more than just finding math challenging, or feeling like you’re not a math person. Dr. Gerardo Ramirez, associate professor of educational psychology at Ball State University, defines it as “a fear or apprehension in situations that might involve math or situations that you perceive as involving math. Anything from tests to homework to paying a tip at a restaurant.” Here’s what else we know:

  • Causes: Math anxiety is not correlated with high or low skill or performance. For students who’ve been pressured to excel, math anxiety comes with the fear of not meeting expectations. For students who historically haven’t done well in math, the anxiety comes with the assumption they’ll do poorly every time. Other triggers include a mismatch between learning and teaching styles that can lead to struggle, or false cultural messages like “girls aren’t good at math.”
  • Consequences: People who suffer from math anxiety may deliberately avoid math, the consequences of which are obvious and far-reaching: not learning math at all, thus limiting academic success, career options, and even social experiences and connections. (This webinar mentions real-life—and relatable—examples of adults affected by math anxiety.)
  • Prevalence: Math anxiety affects at least 20 percent of students, and parents and teachers can suffer from math anxiety, too. In fact, some research suggests that when teachers have math anxiety, it’s more likely that some of their students will as well. Luckily, those teachers and parents can also play a key role in helping students (and maybe even themselves) get more comfortable with math.

Addressing math anxiety in the classroom

Math anxiety can arise from the contexts and cultures in which students encounter math, so it makes sense that we can also create conditions that can help reduce it—and even prevent it from taking hold. Here are some key strategies for helping even the most math-anxious students thrive:

  • Invite explicit conversation about math anxiety. In this webinarMath Teacher Lounge podcast co-host Bethany Lockhart Jones recommends having open and direct conversations with all students about how doing math makes them feel. “The more you know about your students’ ‘math stories,’ the more you can help them,” she says.
  • Build a positive, supportive, and collaborative math community where different learning styles and incorrect answers—often fuel for math anxiety—are considered part of the learning process. Embracing and working from wrong answers encourages students to focus on the “how” of math. Students feel more comfortable asking questions, taking risks, and making mistakes (as well as learning from them).

How do you build a supportive environment in your math classroom?

  • Cultivate a growth mindset. Create a culture where mistakes are not just acceptable, but inevitable—even welcomed. Encourage perseverance and persistence. Emphasize that being challenged by a math concept doesn’t mean a student is inherently bad at math or just can’t do it.  It means only that they can’t do it yet.
  • Encourage collaboration. Promote a culture of cooperation and teamwork by incorporating group activities, peer support, and class discussions into your lessons.
  • Play. Game-ifying problems and introducing friendly competition builds camaraderie and helps students find shared joy in math—a win-win!
  • Give students plenty of time. Alleviating the pressure of time constraints allows students to think more deeply, take brain breaks, make fewer rushed errors, and develop a sense of control and confidence. Here are some ways to build time into your math lessons:
    • Allow students ample time to think when you ask them questions.
    • Allow students to work on assignments in class with support and take them home to finish if they need more time.
    • Consider giving tests and quizzes in two parts and allowing students to complete them over multiple days.
  • Create a culture of revisions. Allowing students to revise homework assignments and tests/quizzes for partial credit will remind them that learning math is a process, not a mandate to get everything right the first time. This will help them deepen their understanding by learning from and correcting their errors—and remind them that mistakes are part of growth.
  • Use intentional language. The phrase “This is easy” might sound encouraging, but anxious students may hear it as “You should be able to do this.” Instead, use supportive, objective language such as “This problem is similar to when we…” or “Try using this strategy.”

Addressing math anxiety at home

Caregivers may be accustomed to reading to students at home, but sitting together and doing math? Probably less so. Some caregivers may even inadvertently perpetuate math anxiety—or the ideas that feed it—by repeating some of the associated stereotypes and misconceptions. (“Sorry, kiddo, grandpa’s not a math person.”)

Teachers can address this by sending materials home to support caregivers in engaging kids in math. Math games, for example, offer a fun, accessible opportunity for home practice—and they can even be played at bedtime, along with story time.

In general, teachers can also encourage caregivers to:

  • Use and point out their use of math in the real world wherever possible.
  • Help with math homework as much as possible.
  • Use intentional, positive phrasing about math—including about their own use of it.

Teachers have the ability to reduce math anxiety and help students unlearn the stereotypes associated with it by building a positive math ecosystem. They can build a positive community in their math classroom, set caregivers up for success in supporting students at home, and even shine a light on their own relationship to math.

To learn more, tune in to Season 5 of Math Teacher Lounge, dive into our math webinars, and read the rest of our math blog.

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

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

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

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Aryanna Trejo (00:00):

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

Eric Cross (00:19):

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

Aryanna Trejo (01:11):

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

Eric Cross (01:16):

You’re coming back?

Aryanna Trejo (01:17):

I’m coming back. Yeah.

Eric Cross (01:19):

So if you need a classroom to visit….

Aryanna Trejo (01:21):

I would love to do more classroom observations!

Eric Cross (01:24):

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

Aryanna Trejo (01:26):

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

Eric Cross (01:35):

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

Aryanna Trejo (01:40):

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

Eric Cross (01:53):

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

Aryanna Trejo (01:58):

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

Eric Cross (02:06):

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

Aryanna Trejo (02:11):

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

Eric Cross (02:15):

<laugh> Oh, we already started.

Aryanna Trejo (02:16):

Huh? We already started?

Eric Cross (02:17):

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

Aryanna Trejo (02:19):

We’re into it.

Eric Cross (02:21):

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

Aryanna Trejo (02:26):

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

Eric Cross (02:40):

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

Aryanna Trejo (02:49):

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

Eric Cross (03:11):

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

Aryanna Trejo (03:17):

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

Eric Cross (04:07):

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

Aryanna Trejo (04:11):

Yeah. We’re meant to be coworkers.

Eric Cross (04:13):

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

Aryanna Trejo (04:17):

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

Eric Cross (04:28):

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

Aryanna Trejo (04:34):

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

Eric Cross (05:26):

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

Aryanna Trejo (06:00):

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

Eric Cross (06:41):

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

Aryanna Trejo (07:28):

Sure.

Eric Cross (07:28):

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

Aryanna Trejo (07:54):

Yeah, absolutely. Yeah, that’s correct.

Eric Cross (07:57):

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

Aryanna Trejo (08:41):

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

Eric Cross (09:39):

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

Aryanna Trejo (10:06):

Sure.

Eric Cross (10:08):

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

Aryanna Trejo (10:16):

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

Eric Cross (11:00):

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

Aryanna Trejo (11:05):

Sure, yeah, I’m familiar.

Eric Cross (11:05):

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

Aryanna Trejo (11:28):

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

Eric Cross (12:50):

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

Aryanna Trejo (13:12):

Sure.

Eric Cross (13:13):

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

Aryanna Trejo (13:44):

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

Eric Cross (14:19):

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

Aryanna Trejo (14:31):

Exactly.

Eric Cross (14:32):

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

Aryanna Trejo (15:08):

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

Eric Cross (15:58):

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

Aryanna Trejo (16:27):

Sure.

Eric Cross (16:28):

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

Aryanna Trejo (17:10):

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

Eric Cross (19:07):

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

Aryanna Trejo (19:19):

Yeah.

Eric Cross (19:19):

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

Aryanna Trejo (19:42):

Yep.

Eric Cross (19:42):

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

Aryanna Trejo (20:19):

Oh yeah.

Eric Cross (20:20):

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

Aryanna Trejo (20:25):

Yeah.

Eric Cross (20:26):

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

Aryanna Trejo (21:06):

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

Eric Cross (21:39):

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

Aryanna Trejo (21:47):

It’s exactly that.

Eric Cross (21:47):

That’s exactly what it is.

Aryanna Trejo (21:49):

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

Eric Cross (24:31):

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

Aryanna Trejo (24:59):

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

Eric Cross (25:10):

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

Aryanna Trejo (25:15):

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

Eric Cross (25:42):

You work at Code.org! You get to—

Aryanna Trejo (25:42):

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

Eric Cross (26:46):

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

Aryanna Trejo (27:08):

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

Eric Cross (28:13):

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

Aryanna Trejo (28:20):

Yep.

Eric Cross (28:21):

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

Aryanna Trejo (28:32):

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

Eric Cross (29:32):

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

Aryanna Trejo (29:39):

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

Eric Cross (29:53):

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

Aryanna Trejo (30:40):

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

Eric Cross (31:36):

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

Aryanna Trejo (31:44):

Oh yeah.

Eric Cross (31:45):

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

Aryanna Trejo (31:48):

Absolutely.

Eric Cross (31:48):

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

Aryanna Trejo (32:03):

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

Eric Cross (32:19):

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

Aryanna Trejo (33:20):

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

Eric Cross (33:44):

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

Aryanna Trejo (33:49):

Yeah.

Eric Cross (33:49):

So I was really excited.

Aryanna Trejo (33:50):

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

Eric Cross (34:20):

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

Aryanna Trejo (34:26):

You would be overselling it.

Eric Cross (34:27):

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

Aryanna Trejo (34:35):

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

Eric Cross (34:37):

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

Aryanna Trejo (36:22):

Yeah.

Eric Cross (36:23):

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

Aryanna Trejo (36:27):

Yeah! You really said it.

Eric Cross (36:29):

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

Aryanna Trejo (36:31):

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

Eric Cross (36:34):

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

Aryanna Trejo (36:56):

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

Eric Cross (37:39):

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

Aryanna Trejo (37:54):

Of course. Happy to.

Eric Cross (37:59):

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

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What Aryanna Trejo says about science

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

– Aryanna Trejo

Professional Learning Specialist, Code.org

Meet the guest

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

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About Science Connections

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

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.

Stay connected!

Join our community and get new episodes every other Tuesday!

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

What Valerie Henry says about math

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

– Val Henry

Meet the 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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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!

Season 2, Episode 6

Discovering your own teaching style, starring Neysa Olivares-Torres

Our guest this week, Neysa Olivares-Torres, breaks down the process of finding and developing your own personal teaching style. Neysa details how she landed on her “firm-but-fair" approach before sharing tips for other educators trying to develop their authentic teaching style. Neysa and Ana also discuss how finding—and embodying—your teaching style can reduce classroom behavior challenges. Our beloved Classroom Insider, Eric Cross, then joins Ana to share how he carved out his personal teaching style, “the warm demander.”

Meet Our Guest(s):

Woman with long dark hair, wearing red earrings and a yellow lace top, smiling at the camera against a light background—radiating the confidence of new teachers overcoming disillusionment in their journey.

Neysa Olivares-Torres

Neysa Olivares-Torres, affectionately known as “O-T,” is an experienced educator, instructional leader, and advocate for equity and representation in education. As the child of immigrant parents and a first-generation college graduate, she understands firsthand the power of seeing yourself reflected in your teachers and in the texts you engage with. With a background in professional learning and curriculum implementation, she is deeply committed to empowering educators and students alike. Neysa grounds her work in purpose and reflection, championing teacher collaboration to improve outcomes for all students.

Meet our host, Ana Torres.

Ana has been an educator for 30 years, working in both the K–8 and higher education sectors. She served as an administrator and instructor at various public and private colleges and universities and as a bilingual and dual language teacher, dual language math and reading interventionist, dual language instructional coach, assistant principal, and principal in K–8 schools. Ana is currently the Senior Biliteracy and Multilingual Product Specialist at Amplify, and delivers literacy and biliteracy presentations across the nation. Ana’s passion and advocacy for biliteracy and support for all students from all walks of life has led her to educate leaders, teachers, and parents about the positive impact of bilingualism and biliteracy in our world.

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A man with short, closely-cropped hair and a trimmed beard smiles at the camera against a light gray background, ready to inspire diverse learners in the math classroom.

Meet our Classroom Insider, Eric Cross.

Eric Cross is a middle school science teacher who hopes to someday be a lifelong educator, like the guests on Beyond My Years! In each episode, Eric connects with host Ana Torres to discuss her guests’ best insights, gleaned from their long and rewarding careers in the classroom. Then, Eric talks about bringing some of their wisdom into his current classroom and busy life.

Quotes

“Understand that a teaching style is not just [something] you find once and then that's it, right? It's ever evolving; it's always in progress; and it's not ‘one size fits all.'”

—Neysa Olivares-Torres

“Great teaching is just like cooking, right? You never really stop learning, adjusting, and reflecting, because our students keep evolving and so we should also.”

—Neysa Olivares-Torres

“ My style came, really, with experience, with time, and with observing other teachers.”

—Neysa Olivares-Torres

“It's important to make sure that it feels like a partnership with your students, that we are equal partners in learning.”

—Neysa Olivares-Torres

“There will be times that you have challenges, and there'll be times that you call them mistakes. I call them ‘challenges’ because if they don't occur, we don't learn how to pivot.”

—Ana Torres

“Look at your strengths, your personality, and your values, and then build your classroom approach based on that.”

—Eric Cross

“When I did show up as my authentic self, it made such an impact in my classroom.”

—Ana Torres

“Students thrive when teachers combine firm boundaries, high expectations, and genuine care.”

—Eric Cross

Math strategies that build community in your classroom

It’s tough to do math without sets, sums, and multipliers, so it stands to reason that it’d be tough to learn math solo, outside of a group.

Indeed, research shows that math is best learned in a community. In this post, we’ll explain why that is, what it looks like in a classroom, and how you can create a community for your math students.

What math community means: Creative classroom ideas

There are many types of math communities: online interest groups, professional organizations, the Mathletes.

In the context of a math classroom, a math community refers to the collaborative environment a teacher can create using both math strategies and social strategies (and by involving students’ parents and guardians). In a robust math community, all students feel comfortable sharing ideas, asking questions, and engaging in mathematical conversations.

In other words, math communities are student-centered. Rather than delivering information, teachers guide students. They encourage students to explore math concepts, make connections to the real world, and ask questions—of each other, and the teacher.

And in a math community, wrong answers aren’t dismissed—in fact, they’re an essential part of the learning process. In our webinar What Amazing K–12 Math Looks Like, educator and director of research at Desmos, Dan Meyer underlines the importance of students understanding “the value in their thinking—which means the value in their wrong answers.”

Benefits of math community: Equity in schools and more

A community-oriented math classroom can help each student learn, and all students learn. Here’s how.

  1. Increased engagement. When students feel a sense of belonging and connection in their math class, they’re more likely to be engaged and motivated. By promoting open discussions, group activities, and cooperative problem-solving, teachers can help students—even those who don’t think they’re “math people”—develop a genuine interest in math.
  2. Reduced math anxiety. Math anxiety affects at least 20% of students. It can hinder their growth in math and beyond. But in a supportive math community—where different styles and wrong answers are considered part of the process—those students can thrive. Embracing and working from incorrect answers encourages students to focus on the “how” of math, and to participate without fear of getting it wrong. They feel more comfortable asking questions, taking risks, and making mistakes as well as learning from them.
  3. Improved communication skills. In a math community, all students get the chance to communicate their mathematical thinking and reasoning. Explaining their ideas to others and listening to their classmates enhances their speaking and writing skills—in math, and across other subjects, too.
  4. Learning from diverse perspectives. A supportive math classroom community allows students from different backgrounds and with varying abilities to contribute to class and feel valued. Encouraging—and observing—the sharing of diverse perspectives fosters critical thinking, creativity, and problem-solving skills.
  5. Positive reinforcement. A strong math community creates an environment where students feel valued, respected, included, and supported. It’s fertile ground for a growth mindset, one in which students believe they actually can do math regardless of challenges or errors. A math community encourages risk-taking, resilience, and perseverance—in math, and beyond.

How to engage students in math lessons that build community

Want to know how to make math fun and build community? Here are some ways to get started.

  1. Encourage collaboration. Promote a culture of cooperation and teamwork by incorporating group activities, peer support, and class discussions into your lessons.
  2. Celebrate brilliance. Recognize a variety of efforts, insights, and accomplishments among students—including taking risks, and making mistakes. This will motivate all students to appreciate different ways of learning and the value of both process and product.
  3. Personalize support. Offering individualized help to students who need it shows commitment to their success and builds a supportive environment for everyone.
  4. Develop a growth mindset. Create a culture where mistakes are inevitable, even welcomed, as part of the learning process. Encourage perseverance and persistence.
  5. Choose meaningful tasks. Assign problems with real-world relevance. Working together to solve them helps students see  the “why” of math—and connect with each other in the process.
  6.  Play. Game-ifying problems and introducing friendly competition builds camaraderie and helps students find shared joy in math—a win-win!

More to explore

Welcome, Idaho K-8 Science Reviewers!

Thank you for taking the time to review Amplify Science. On this site, you’ll find all the resources you need to learn more about this engaging and robust NGSS program. Below, you will also have the opportunity experience our program firsthand with a demo account to access the digital platform.

Amplify Science for grades K–8 has been rated all-green by EdReports. Read the review on EdReports.

Collage of educational settings: top left, two young girls using laptop in library; bottom right, middle school science project display on tablet; bottom left, two boys with tablet discussing.

Overview

With Amplify Science, students don’t just passively learn about science concepts. Instead, they take on the roles 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.

Grades K–5

Grades 6–8

Amplify Science Grades K-5 Tour for Idaho Educators

Amplify Science Grades 6-8 Tour for Idaho Evaluators

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 teach less, but achieve more.

Rather than asking teachers to wade through unnecessary content, we designed our program to address 100 percent of the NGSS and Idaho Standards in fewer days than other programs:

  • In just 120 lessons at grades 6–8
  • In just 66 lessons at grades K–2
  • In just 88 lessons at grades 3–5
A four-step process diagram with icons: spark a real-world problem, explore sources, explain and elaborate, and evaluate claims, all linking to engage with cohesive storylines.

Unit types

Each unit delivers three-dimensional learning experiences and engages students in gathering evidence from a rich collection of sources, while also emphasizing a particular science and engineering practice.

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Two young students sit at a classroom table, one holding up a clear cup of water while the other observes closely. Papers and pencils are spread out on the table.

Investigation units

Investigation units focus on the process of strategically developing investigations and gathering data to answer questions. Students are first asked to consider questions about what happens in the natural world and why, and are then involved in designing and conducting investigations that produce data to help answer those questions.

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Modeling units

Modeling units provide extra support to students engaging in the practice of modeling. Students use physical models, investigate with computer models, and create their own diagrams to help them visualize what might be happening on the nanoscale.

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Engineering Design units

Engineering design units provide opportunities for students to solve complex problems by applying science principles to the design of functional solutions, and iteratively testing those solutions to determine how well they meet preset criteria.

Several open textbooks and notebooks are spread out on a table as a person writes in one of the notebooks with a pencil.

Argumentation units

Argumentation units are introduced at grade 3 and provide students with regular opportunities to explore and discuss available evidence, time and support to consider how evidence may be leveraged in support of claims, and independence that increases as they mount written arguments in support of their claims.

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Launch units

Launch units are the first units taught in each year of Amplify Science. The goal of the Launch unit is to introduce students to norms, routines, and practices that will be built on throughout the year, including argumentation, active reading, and using the program’s technology. For example, rather than taking the time to explain the process of active reading in every unit in a given year, it is explained thoroughly in the Launch unit, thereby preparing students to read actively in all subsequent units.

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Core units

Core units establish the context of the unit by introducing students to a real-world problem. As students move through lessons in a Core unit, they figure out the unit’s anchoring phenomenon, gain an understanding of the unit’s disciplinary core ideas and science and engineering practices, and make linkages across topics through the crosscutting concepts. Each Core unit culminates with a Science Seminar and final writing activity.

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Engineering Internship units

Engineering Internship units invite students to design solutions for real-world problems as interns for a fictional company called Futura. Students figure out how to help those in need, from tsunami victims in Sri Lanka to premature babies, through the application of engineering practices. In the process, they apply and deepen their learning from Core units.

Idaho Science Standards Alignment

Amplify Science was built from the ground up to fully embrace the instructional shifts outlined in A Framework for K-12 Science Education (2012), the same framework on which Idaho Science Content Standards were founded. Most grade levels’ respective set of Amplify Science units therefore fully address the necessary Idaho Science Content Standards (see correlation). Grade 1 teachers should plan to also use the companion mini-lesson provided below to achieve full standards coverage for their grade.

Grade 1 Companion

Standard: 1-LS-1.3 Use classification supported by evidence to differentiate between living and non-living things.

Recommended placement: Following Lesson 1.1 of the Animal and Plant Defenses unit.

Resources: Classroom Slides

Science (K-2) Evaluation Form

Science (3-5) Evaluation Form

Science (Middle School Physical Science) Evaluation Form

Science (Middle School Life Science) Evaluation Form

Science Evaluation Form Middle School Earth and Space Science

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A butterfly flies above potted plants next to a watering can and a caterpillar on a milkweed plant under sunlight in a grassy field.

Needs of Plants and Animals

Domains: Life Science, Earth and Space Science, Engineering Design

Unit type: Investigation

Student role: Scientists

Phenomenon: There are no monarch caterpillars in the Mariposa Grove community garden since vegetables were planted.  

A hand pulls a white string attached to a pegboard with rubber bands and a white ball hanging from the center.

Pushes and Pulls

Domains: Physical Science, Engineering Design

Unit type: Engineering design

Student role: Pinball engineers

Phenomenon: Pinball machines allow people to control the direction and strength of forces on a ball.  

Silhouette of a playground structure and toy train against a blue sky with clouds and two large yellow suns.

Sunlight and Weather

Domains: Earth and Space Science, Life Science, Engineering Design

Unit type: Modeling

Student role: Weather scientists

Phenomenon: Students at Carver Elementary School are too cold during morning recess, while students at Woodland Elementary School are too hot during afternoon recess.  

Illustration of sea turtles swimming among underwater plants, with a shark and another turtle visible in the background.

Animal and Plant Defenses

Domain: Life Science

Unit type: Modeling

Student role: Marine scientists

Phenomenon: Spruce the Sea Turtle lives in an aquarium and will soon be released back into the ocean, where she will survive despite ocean predators.  

A hand holds a flashlight and shines it through a transparent sheet with an image, projecting the image onto a wall in a dark room.

Light and Sound

Domains: Physical Science, Engineering Design

Unit type: Engineering design

Student role: Light and sound engineers

Phenomenon: A puppet show company uses light and sound to depict realistic scenes in puppet shows.  

A split illustration shows a cityscape at night with a crescent moon and stars on the left, and a cityscape during the day with the sun, clouds, and an airplane on the right.

Spinning Earth

Domain: Earth and Space Science

Unit type: Investigation

Student role: Sky scientists

Phenomenon: The sky looks different to Sai and his grandma when they talk on the phone.  

A grey elephant uses its trunk to pick apples from a tree, with a few apples still hanging on the branches and a small sprout growing nearby.

Plant and Animal Relationships

Domains: Life Science, Engineering Design

Unit type: Investigation

Student role: Plant scientists

Phenomenon: No new chalta trees are growing in the fictional Bengal Tiger Reserve in India.  

A hand picks up a red bean from a table scattered with more red beans, spilled white liquid, a cup, and a wooden stick.

Properties of Materials

Domains: Physical Science, Engineering Design

Unit type: Engineering design

Student role: Glue engineers

Phenomenon: Different glue recipes result in glues that have different properties.  

A building labeled "Recreation Center" stands near a cliff edge with a blue flag, surrounded by trees and overlooking a beach and water.

Changing Landforms

Domain: Earth and Space Science

Unit type: Modeling

Student role: Geologists

Phenomenon: The cliff that Oceanside Recreation Center is situated on appears to be receding over time.  

Illustration of a high-speed train traveling on an elevated track with a green landscape and blue sky in the background.

Balancing Forces

Domain: Physical Science

Unit type: Modeling

Student role: Engineers

Phenomenon: The town of Faraday is getting a new train that floats above its tracks.  

A group of wolves stands in the foreground, with a bear, elk, and several birds visible in a grassy, hilly landscape with scattered trees.

Inheritance and Traits

strong>Domain: Life Science

Unit type: Investigation

Student role: Wildlife biologists

Phenomenon: An adopted wolf in Graystone National Park (“Wolf 44”) has some traits that appear similar to one wolf pack in the park and other traits that appear to be similar to a different wolf pack. 

A small bird stands on soil, looking closely at a yellow snail, with green blades of grass on the left and a blue sky background.

Environments and Survival

Domains: Life Science, Engineering Design

Unit type: Engineering design

Student role: Biomimicry engineers

Phenomenon: Over the last 10 years, a population of grove snails has changed: The number of grove snails with yellow shells has decreased, while the number of snails with banded shells has increased.  

An orangutan hangs from a vine in a dense green forest with the sun visible in the background.

Weather and Climate

Domains: Earth and Space Science, Engineering Design

Unit type: Argumentation

Student role: Meteorologists

Phenomenon: Three different islands, each a contender for becoming an Orangutan reserve, experience different weather patterns.  

Illustration of city buildings at night with illuminated windows, a full moon, visible stars, and a silhouetted figure in one window.

Energy Conversions

Domains: Physical Science, Earth and Space Science, Engineering Design

Unit type: Engineering design

Student role: System engineers

Phenomenon: The fictional town of Ergstown experiences frequent blackouts.  

A streetlamp illuminates a cricket, which is watched by a gecko. Yellow arrows indicate the flow of light from the lamp to the cricket and then to the gecko’s eye.

Vision and Light

Domain: Physical Science, Life Science, Engineering Design

Unit type: Investigation

Student role: Conservation biologists

Phenomenon: The population of Tokay geckos in a rain forest in the Philippines has decreased since the installation of new highway lights.  

Two dolphins swimming underwater, facing each other against a blue background.

Waves, Energy, and Information

Domains: Physical Science, Life Science, Earth and Space Science, Engineering Design

Unit type: Modeling

Student role: Marine scientists

Phenomenon: Mother dolphins in the fictional Blue Bay National Park seem to be communicating with their calves when they are separated at a distance underwater.

Earth orbits the Sun in space, with dotted blue lines showing the orbital path and a white arrow indicating Earth's rotation direction.

Patterns of Earth and Sky

Domains: Physical Science, Earth and Space Science

Unit type: Investigation

Student role: Astronomers

Phenomenon: An ancient artifact depicts what we see in the sky at different times — the sun during the daytime and different stars during the nighttime — but it is missing a piece.  

Illustration of layered red and brown rocky cliffs beside a flowing blue river under a partly cloudy sky.

Earth’s Features

Domain: Earth and Space Science

Unit type: Argumentation

Student role: Geologists

Phenomenon: A mysterious fossil is discovered in a canyon within the fictional Desert Rocks National Park.  

Red blood cells scattered across a dynamic, abstract red and white background.

Modeling Matter

Domain: Physical Science

Unit type: Modeling

Student role: Food scientists

Phenomenon: Chromatography is a process for separating mixtures. Some solids dissolve in a salad dressing while others do not. Oil and vinegar appear to separate when mixed in a salad dressing.  

Illustration of wind carrying airborne particles over a coastal hill, with arrows indicating the movement up and over the hill toward the sea.

The Earth System

Domains: Earth and Space Science, Physical Science, Engineering Design

Unit type: Engineering Design

Student role: Water resource engineers

Phenomenon: East Ferris, a city on one side of the fictional Ferris Island, is experiencing a water shortage, while West Ferris is not. 

Illustration of a cheetah standing near plants, looking at a sloth hanging from a tree branch, with various foliage and mushrooms in the scene.

Ecosystem Restoration

Domains:Physical Science, Life Science, Earth and Space Science, Engineering Design

Unit type: Argumentation

Student role: Ecologists

Phenomenon: The jaguars, sloths, and cecropia trees in a reforested section of a Costa Rican rain forest are not growing and thriving.  

A rover stands on a rocky, reddish terrain with visible tire tracks leading to it; distant hills are seen under a hazy sky.

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.  

Illustration of a city skyline at night with a large full moon, a few stars in the sky, and a bridge on the left side.

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.  

Illustration of a person wearing a red hat and winter coat with fur hood, eyes closed and arms crossed, surrounded by large orange circles.

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.  

Abstract digital artwork featuring a large yellow sun with blue and orange rays over a colorful landscape with green hills and red horizon.

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 clouds above a small town with fields and mountains, showing wind patterns and atmospheric movement in the sky.

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.  

An underwater scene with a large whale, several turtles, jellyfish, and fish swimming surrounded by shafts of light.

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 illustration of a forest with trees, mushrooms, a rabbit, and a fox catching another animal under a blue sky with mountains and the sun in the background.

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.

Illustration of six spiders with different colored bodies and legs arranged in a chart-like formation on a dark background.

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.  

Abstract digital artwork featuring vibrant colors, geometric shapes, a yellow human silhouette, and various patterns layered together.

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.  

Illustration of a person receiving an oral examination with a tongue depressor and light, featuring abstract colorful shapes and an eye chart in the background.

Metabolism

Domain: Life Science

Unit type: Core

Student role: Medical researchers

Phenomenon: Elisa, a young patient, feels tired all the time. 

A spacecraft approaches a large modular space station with blue solar panels, orbiting in outer space against a black background.

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.

Green geometric background with a hexagonal badge displaying a parachute, ruler, letter A, stacked layers, bandage, and a folded paper icon.

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.  

Two prehistoric aquatic reptiles with long snouts swim near the shore of a tropical landscape with rocks, plants, and an island in the distance.

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.  

Illustration of a volcanic landscape with mountains, trees, an ocean, and a cross-section showing tectonic plates beneath the surface.

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.  

Four low-poly dinosaurs, three green and one yellow, are walking in a row on grass with rocks and red spots on their bodies under a blue sky.

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.  

Two large tortoises are near a river; one is on the riverbank reaching for leaves on a tree, while the other is on the opposite bank among grass and trees.

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.    

Two people stand atop rocky terrain littered with electronic devices; inset illustrations show a boot, a person with electronics in a vest, and a radio.

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.  

An orange popsicle melting in four stages from solid to almost fully liquid, set against a plain background.

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.  

Green graphic with icons showing a swaddled baby, a thermometer, layers of blankets, a medical symbol, and a heat source within a hexagonal frame.

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.  

Digital illustration showing red and blue molecule-like circles on a blue background, with a boundary dividing two differently shaded sides.

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.  

Illustration of people riding a roller coaster on a blue day, with arms raised as the car descends a tall loop against a sky with clouds.

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 the Earth with arrows representing radiation or energy entering the atmosphere from space over the Asia-Pacific region.

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.  

An illustrated polar bear stands on a small piece of floating ice in the ocean, with icebergs and an orange sun in the background.

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.

Hexagonal badge with icons including a wrench, building, sun, molecules, construction materials, screwdriver, paint bucket, and a letter T, all on a geometric blue background.

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.  

Access program

In addition to the grade-level sample boxes that we provided, we’ve also created custom demo accounts just for Idaho reviewers.

To access the digital portion of the program, click the link below, select “Log In with Amplify,” and then refer to the Start here digital access flyer for your personalized login credentials.

A spiral-bound teacher’s guide and a laptop displaying a digital curriculum, both titled “Balancing Forces: Investigating Floating Trains” from Amplify Science.

Resources

Committed to reading equity

We believe that all students have the right to read complex texts and engage in rich classroom discussions. They should also see themselves reflected and experience new worlds through reading.

This commitment guides our text selection, unique artwork, and dedication to reaching every student where they are.

A student with curly hair reads a book in a classroom, while other students are visible in the background, sitting at desks.

Text selection

Texts in the Amplify ELA curriculum cover a wide range of topics, themes, and genres, with differentiated supports that ensure that all students can work through each reading and lesson. Taken as a whole, the texts show students a diverse picture of the world, while fostering a lifelong love of reading.

Illustration of diverse people and landscapes, featuring native designs, botanical elements, and a silhouetted airplane against a script background.
A painted scene shows a blue sky with scattered white dots resembling stars and red clouds, against a backdrop of dark and light color gradients.

In the Liberty & Equality unit, students reflect on the harrowing journeys and avenues to freedom that enslaved African-Americans were forced to forge.

Character & Conflict

Students read A Raisin in the Sun, a play that focuses on the impact of poverty and racial tensions on family relationships and identity within an African-American family.

Summer of the Mariposas

In the Summer of the Mariposas unit, students dive into a retelling of the Odyssey through a contemporary Hispanic lens as they explore sibling and extended-family relationships.

A pencil sketch of an airplane is shown on a textured background with orange and yellow watercolor paint.

In the Perspectives and Narrative unit, students explore a coming of age moment for an adolescent daughter of immigrant parents.

Red Scarf Girl

In the Red Scarf Girl and Narrative unit, students learn about a key historic moment in Asian and world history, while making connections to relatable themes like authority figures imposing rules on children, and family and peer loyalties standing at odds.

Mysteries & Investigations

In the Mysteries & Investigations unit, many of the texts present an ethnically and culturally diverse group of characters, including many pre-teen or teen protagonists rebelling against authority, navigating their relationships with their peers and families, and figuring out their unique identities.

Created with diverse perspectives

With our new illustrations, time spent in our classrooms will feel relevant and relatable to every student. We’ve brought together an art team with unique perspectives and visual styles so that their diversity can shine along with the
complex texts in our curriculum, and illuminate their relationship with our literature. Everyone deserves to see themselves as the hero of a story. It is our hope that our students will find themselves within our program, and will be ever more curious in their learning, and engaged in their reading.

https://youtu.be/_FLV_Le7Zoc
A person sits at a desk with art supplies, flowers, and plants, speaking on camera. An orange play button overlays the image, indicating a video. A colorful artwork hangs on the wall behind them.

Dive into the world of Mysteries &
Investigations with Dr. Womack,
the illustrator who may have once
become a scientist…

A person sits on a couch in a room decorated with colorful artwork and a wooden sculpture; a play button icon is overlaid at the center.

Meet Tre, a seeker and traveller that became homies Fredrick Douglass through illustrating his narrative for our program…

A woman with long dark hair in a red top sits indoors near a window with yellow flowers and colorful decorations; a play button overlay is at the center.

There’s no one way to be a maker, and Jackie certainly has made a lot of things. Check out the weird and mysterious world of her miniatures…

A person with curly hair and hoop earrings speaks indoors, with colorful posters and decorations visible in the background. An orange play button overlays the image.

She’s been drawing characters and comics ever since middle school. Now see the drama of Edel’s work in the mythos of the Greeks…

A woman stands in front of a wall covered with colorful artwork. An orange play button icon is overlaid on the center of the image.

Travel through countries and narratives with Caroline, as she shares her delicate watercolors for illustrating the hero’s journey…

A man with short brown hair and a beard sits at a desk near a window, with artwork displayed on the wall behind him. An orange play button is centered over the image.

The haunting work that Patrick creates will leave you feeling a sense of melancholy and longing, but not without hope for the future…

A woman in a red blazer sits in an office with open books and art prints on the wall. An orange play button is overlaid in the center of the image.

She’s been drawing characters and comics ever since middle school. Now see the drama of Edel’s work in the mythos of the Greeks…

A man in a light blue shirt speaks while seated in a creative workspace with colorful artwork and sketches displayed on the wall behind him.

As a latino American, Eddie is an illustrator, a father, and a teacher. He is working in collaboration with Poetry in America to use his heritage as inspiration…

A woman sits in front of a wall covered with colorful educational posters, partially obscured by a large play button icon in the center.

Listen to a word from Tory, the Art Director at Amplify, on how the vision
was set for the project and how she brought the team together that would get to illustrate ELA…

Fanart

Here is a library of all the inspiring art that our beloved fans have submitted for our program. Do you or your students have a favorite literary character from our program? Send us your fanart to be shared with our community here!

A collage of various portrait illustrations and drawings, including stylized faces, historical figures, animals, and astronauts, in both color and black and white.