More Math for More People
CPM Educational Program is a non-profit publisher of math textbooks for grades 6-12. As part of its mission, CPM provides a multitude of professional learning opportunities for math educators. The More Math for More People podcast is part of that outreach and mission. Published biweekly, the hosts, Joel Miller and Misty Nikula, discuss the CPM curriculum, trends in math education and share strategies to shift instructional practices to create a more inclusive and student-centered classroom. They also highlight upcoming CPM professional learning opportunities and have conversations with math educators about how they do what they do. We hope that you find the podcast informative, engaging and fun. Intro music credit: JuliusH from pixabay.com.
More Math for More People
Episode 6.5: How do you picture taking a monkey to lunch?
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An AI voice answers the phone, sounds friendly, and almost passes as human. For a moment it feels convenient, even a little magical, and then something shifts and you realize you’re craving a real person. That tension, between efficiency and human connection, drives our conversation as we explore what AI tools can do well, what they cannot do at all, and why “human review” is quickly becoming a non-negotiable habit. What’s your personal “tell” that you’re talking to AI and not a human?
Also, it's Take a Monkey to Lunch Day!!! What in the world? We're very curious. If you imagine taking a monkey to lunch... Do it now... What do you imagine it would look like? Let us know!
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The More Math for More People Podcast is produced by CPM Educational Program.
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New Setup And Day Of
Listening to the More Math for More People podcast, an outreach of CPM Educational Program. Boom
MistyAll right, so here we are. It's our day of. Ba-da.
JoelIt's that time
MistyWe're trying out some new recording digs, so maybe we feel... I feel a little bit, like, tentative in some way. I don't know why. Nobody else knows that. I mean, no- well, they know that now, but I... They wouldn't have known it if I hadn't been so
JoelJust so you know, I have a warning that we are only reco- recording audio. Just, okay, hold
MistyBut your vid- but your video is still visible unless you turn off your camera. That's, you know... All right, I need to hide myself, though. I don't like looking at myself when I'm talking. All right, there we go. Okay, so it is,
What Is Take A Monkey Lunch
Mistyit is the Nash- it is our day of, and I don't remember what day it is right now
JoelIt's July 21st
MistyOkay, great. July 21st. What's the
Joel2026, and it is Take a Monkey to Lunch Day.
MistyWhat?
JoelYeah, I'm so excited to talk about this because I, I was looking for that reaction exactly. And
MistyIt's pretty much my standard
Joelwhat, isn't it a great day, though? Take a monkey to lunch. Who would've
MistyI, where are you gonna get a monkey?
JoelWell,
Mistymy first question
JoelI, I would say, but then I can't really say because that's ille- I think that's
MistyBecause it's, uh, illegal to have a monkey? I don't think it's total- I mean, Ross on Friends had a monkey
JoelYeah, but he had to take him to the zoo.
MistyWell, yes,
JoelAnd then he got on TV or something. He got, he was an actor
MistySo, okay, so, b-
JoelYes. Ask your questions,
Mistydon't even know which question to ask first. That's the thing. Like, is it take a real monkey to work? Is it take, like, a s- one of those, like, sock monkeys to work? Is it...
JoelIt's referring
Mistyto lun- to, to lunch. Not to work, to
JoelThat's right, it's to lunch
MistyAre you taking them to lunch with you, or are you gonna go to a monkey lunch?
JoelY- uh,
MistyYou don't even know where to start answering my questions, do you, C?
Joelor, I think because it, the idea of the holiday is just to bring awareness and celebrate non-human primates, the monkey. And so
MistySo it's
Joelnot go to lunch?
Mistyto lunch.
JoelYou could go to lunch with a monkey,
MistyI see, I see
Joelor you could go to a monkey lunch. Either way, you're w- you're bringing awareness to the holiday
MistyI'm just imagining a monkey lunch. Part of it is like the monkeys are being crazy and they're like throwing things around and they're, doing their monkey screams and things like that, which I will not mimic. But then they're, but they're doing it, in my mind, they're doing it at some kind of like fancy tea luncheon or something, which is weird. I don't know why they would be there. But, like you're taking them to a fancy tea, but then they're not behaving. That's the image I have of a monkey lunch
JoelI also had the image of actually going somewhere, sitting down, ordering from a menu, but I would have my monkey with me. Like, there weren't necessarily... Just sitting there waiting for my assistance.
Mistypatiently waiting
JoelYeah. What, I mean, what else are you gonna do when you take a monkey? You gotta behave yourself, otherwise you don't get invited back to lunch.
MistyWell, I don't, maybe the monkeys don't care
JoelMaybe that's true.
MistyInteresting. All right. So, okay, so it is sort of like, when it's just about building awareness, it feels it's more like figuratively speaking. It's sort of like the i- like thinking about the ideas and being aware of
Joelthat's right.
MistyYeah, yeah. I do like monkeys. I think monkeys are... I like, I like when I go to the zoo and see the monkeys, or seeing monkeys in the wild. Have you seen monkeys in the wild?
JoelI have not seen monkeys in the wild
MistySomething just happened to your recording
JoelI, I
MistyNo, it did
JoelI think something is happening with your recording
MistyNo, 'cause your, the background noise just
JoelI did
MistyNow it went away again
JoelNo, it says it's on.
MistyYeah, now it's back on
JoelWe'll edit that
MistyOkay, well, maybe the, maybe the, maybe this filter will be able to take care of it. We'll figure it out. Ah, anyway. Okay.
JoelSorry.
MistyWell, I have see- I've seen monkeys in the
New World Versus Old World Monkeys
Joelnot. Where did you see them?
MistyDid you s- You have not? Costa Rica
Joelthat's a popular monkey spot
MistyIt's a popular monkey spot. All the monkeys just go hang out
JoelDo you, did you know... Here's some fascinating facts about monkeys.
MistyOkay.
Joelspread diseases
MistyThat sort of people
JoelI know I'm not comparing them to people. These are monkeys. We're talking about non-human primates here
MistyI think that, I think that all animals spread diseases technically
JoelWhat's a New World monkey? New World
MistyNew World monkey, New World monkeys live in North and South America. Old World monkeys live in like Asia and Africa, Europe I suppose, but mostly Asia and Africa
JoelWell, old world, old world monkeys are bigger than new world monkeys, and they don't live in trees New World monkeys do Yeah
MistyI, I guess I can't think of any exceptions to that
JoelI can't either who, do you know who is considered to be a Take a Monkey to Lunch Day hero? Can you think of somebody who advocates for monkeys
MistyHuh. Somebody who advocates for monkeys. No, I'm gonna feel stumped on that
JoelJane Goodall.
MistyOh, well
JoelJane Goodall
MistyBut see, I don't think of chimpanzees as monkeys
JoelBut it's a primate, isn't it?
MistyYeah, but pri- not all, not all primates are monkeys.
JoelWow
MistyLike apes, apes and monkeys in my mind are different
JoelMaybe that
MistyI think it depends on what level of biology you're talking about
JoelI, I do- I would've thought of a chimpanzee as a monkey
MistyMm-hmm. Interesting. All right. I would not. I would think of a chimpanzee as a chimpanzee
JoelI wh- when I was in college, they- Jane Goodall came to speak, and I was chosen to be a student representative to be on stage and listen to her while she was talking. And so that was pretty fun to hear her do the calls like she did. I'm gonna go ahead and call them monkey calls, even though we're having that argument. But, uh, it was really cool to be around Jane Goodall and hear her stories. Yeah
MistyThat's cool. So according to the Google AI overview, apes are a subgroup of Old World monkeys. So monkeys is a larger class than, uh, apes. Apes are subgroups. All... Well, this doesn't make sense then. All monkeys have tails, whereas apes do not. That's, that doesn't... If it, if apes are a subgroup of monkeys, all monkeys have tails can't be true. So, so anyway but it's like apes is a smaller group. Monkey refers to like all of the other species, including like baboons and macaps, macaques, and capuchins, but not chimpanzees. Apes and, apes is chimpanzees, humans, gorillas, orangutans, and gibbons.
JoelDid this sounds like this would be like a good problem from geometry when you're trying to formulize proof.
MistyYeah. Well, the whole point is like apes can't be a subgroup... Well, it's a subgroup of old world monkeys, but then you can't say
Simple Ways To Celebrate Monkeys
Mistyall monkeys have tails, but apes don't. That doesn't, that does not, that, my brain is really struggling with that statement. Anyway.
JoelUh, that's one way you could celebrate Take a Monkey to Lunch Day is think about that statement or maybe talk it through with your monkey. Can you think of some other ways that you might celebrate this day?
MistyI don't know, make a donation to something that helps preserve monkeys.
Joelnot on my list, but I bet you could. You could visit a zoo
MistyOh, nice.
JoelYou could wear a monkey costume Okay.
Mistynot doing that
JoelYou could... It sa- it says it might feel silly, but it might, it might be a good experience for you. Or you can just learn about monkeys, and I think we've done that here today.
MistyWe, we've definitely done that here today. Well, awesome. Enjoy Take a Monkey to Lunch Day with your monkeys
Claude, Voices, And Anthropomorphism
RafaelHello.
JoelHello.
RafaelI'm sorry I'm late.
Mistyfine
RafaelUh, the game was over, and then I started chit-chatting with Claude, and Claude is very chatty. Very chatty. And I'm chatty, so
MistyClaude is very chatty.
RafaelYes. Claude is getting spicy with, with like some of the stuff that it, he, they
MistyMm-hmm.
JoelIf if Claude had-- Do you imagine a voice in your head
RafaelOh, that's interesting Well, I imagine a guy 'cause he's Claude, although may- that
Mistya sort of, it's sort of a male-ish name usually.
RafaelRight. Could be an assumption, right?
MistyYep
JoelIs there an accent there?
RafaelHuh, this is so interesting. So I didn't have, an image before, but I feel like by the time we're done, I will have an image. So I'm going to say French, a French
MistyYeah, it, it's that, that's again, I think there's a lot of context in there which might show our
Joelit's something,
Mistyas well.
Joeldo you think it's something you could ask Claude?
RafaelOh.
JoelHow do you sound?
RafaelDo you sound?
Joelyou have an accent?"
RafaelDo you have an... Oh
MistyWhat is-- Okay, is that, that's a very relative question. Do you have an
JoelAh, that's true.
RafaelYeah.
JoelTrue
Rafaeland and I feel like that is a road I have really avoided. Like,
JoelYeah.
Rafaelev- even though I'm clearly personalizing Claude to some degree, I'm like, like I feel like I have lines.
Mistya step of anthropomorphication you
Rafaelthis line, Claude will become more human, and I don't want Claude to be more human. He's human enough
MistyI do feel like it's our job to be the humans.
JoelJust
MistyWhich is a complicated thing to
JoelYeah.
Mistyto be a human. It's very complicated
RafaelYeah. Claude makes it feel easy, right? Like, I feel like the AI agents that are emerging, they have... It's like, how do I put it? They do things that are actually very complicated for humans, and yet we must continue to look over their shoulder,
MistyMm-hmm.
JoelRight
Rafaelright? To make sure that within all that resolution of complexity, we don't lose, like, this vital
MistyMm-hmm.
RafaelI'm going like this
MistyYeah. Yeah. I like that. Well, I know how to describe that in The on the audio podcast, but I
Rafaelhuman element
Mistyyeah. I mean, it's like, there's like, well, it's like something that can do a lot of tasks, can grapple with a lot of information and data points, right? Like data, like the, the, the number of in- the amount of information is bamboozling to us. But it, but it doesn't necessarily... I don't, I don't wanna how to call it other than in like, this is not the right word, but like, it's the, it's the intelligence part. It's the like, oh, it's the ethical part. It's the so- you know, it's the other part of like, are, how, like... And the interesting thing is that as I'm saying this even, I'm like, and we think that we know what that is. like
RafaelRi-right
MistyWe- It's very, very clear that we're not good at predicting what happens when we do particular stuff, right? Like for throughout history, this is very clear. Yes.
Joelmy, in
Oversight, Autonomy, And Math Authority
Joelmy mind, these are different things, but I'm also hearing when we try to give-- share that math authority or give authority to our students in our classroom, I better be circulating, right? And watching and yeah.
RafaelFair. Like they have they have opportunities, right? When, when given autonomy and mathematical power, right? They have uh, an opportunity to create something really solid mathematically, or they can also create misconceptions and,
JoelSure
Rafaelyou know, and, and I think we're all about like, well, e-even if you're pursuing a road that is not mathematically sound, there's something to be learned, right? Counterexample. Okay, that didn't work. Let's go back to the beginning. And, and I guess I, I, I wonder, I don't, I don't know. Can, can Claude, I don't know why I'm keep referring to just Claude, although lately I feel like the Claude is like, like the good AI. Oops, probably, probably can't say that.
MistyUh, the other
Rafaelthat out later.
Mistya note of that, by the way.
Rafaelright, like right, like next time I try to use like, which I'm not currently, but ChatGPT does... Oh, so you need the bad AI all of a sudden But my point is, I won-- I, I have posed to the company I believe on a number of occasions, this notion of like, could an AI instrument be part of a study team dynamic, right? Could an AI agent be there for not, not necessarily recalling information, although that could be part of its function, but more for a questioning, right? Uh, another all-knowing but not all feeling, not all ethically wired part of their study team. I've just wondered about that. And then I always wonder, w-will that be a good thing, right? Was that-- Will that be a good addition or would that be a harmful addition? And I don't think we adults have figured it out, so we probably should take a beat before we expose young people
Mistyas you, as you say that, it occurs to me that like the people who in our company who work in the, in the sales capacity, though they might not be labeled as that, are doing-- are working with an AI agent to try to develop their skills, right
RafaelYes, they are
MistyAnd, and I have seen some frustration in trying to pass, right? 'Cause there's certain metrics and numbers they need to meet and, and, you know, responses it's wanting and encouraging them and so on. And, and, you know, so like there's this, part of like, you know, like, uh, the intent is for them to learn and ma- and to make sense of things, right? And then also it's like, okay, but I need to do these things and I need to get to a place and I have to, you know, pass this level or whatever, so there's a, there's a game, you know, like I have to do this
RafaelYeah. No,
MistyI can get to the next thing too.
JoelHmm.
MistyUm, so just as I think about like, you know, using that kind of, a thing with, with younger people, right, than us, like how would, how might that look and what, what benefits are, you know... I mean, there's benefits, there's, there's benefits and not benefits for all of the things.
RafaelWell, I wonder, I mean, just keeping this line going as soon as you bring in those bench-- Like, if you're being graded for whatever reason by AI, that in my mind is different than using a tool that's going to just... That, that you're gonna own fully, right? It's not gonna look over your shoulder. You're, you're gonna look over its shoulder, so to speak, right? And I think, uh, the sales example is a great one because if you're using it as a self-improvement tool that has its own limitations like all other tools, that's different than being measured and tracked and graded, and that, that brings me all the way back to our study teams.
MistyYeah Yeah. Well, the, it's, I think it's that difference between like a coaching capacity, right? Like a coaching, mentoring kind of capacity versus a like, like you're saying, an evaluating kind of capacity, right? Hmm.
AI Advice From The Experts
RafaelIt's interesting because I, I had thought that AI might be a thing we would wanna talk about. And I mean, I to- I took a whole like, you know, um, the Kellogg School at, at Northwestern. I took a whole three-day, you know, seminar, uh, that brought together, uh, AI experts from academia
MistyMm-hmm.
Rafaeltalk to leaders across all sorts of sectors on, on what's up with AI. Like, you know, and of course, every time, I think this is wired into me as a boomer, right? Like, oh, I go to this thing, seminar, workshop, class, and I will learn. I will come out of it as an output, having learned, be more learned in AI,
JoelMm-hmm
Rafaelright? Or the topic at hand.
JoelSure
RafaelAnd I have to say, in this case, and it's not like it wasn't wonderful, it was really interesting, but, but, my takeaway was that even the experts, folks steeped, at least in the aca-academia sector, really don't have too much to tell us beyond some of the things that are already on our plate. Use it with care. Share no personal information, And that opens up a whole other world, but we could do a whole podcast on what is personal. I, I'm pretty sure you don't feed your taxes into it. And, a-and then also be really, really careful about how you use it externally. So this was another message that really stuck with me. Like, a lot of companies, entities are using it for internal thinking, uh, processing, prompting. I think the human review right? now is essential. Like, you know, AI slop is real. It's out there. It's coming to your inbox soon, I think, no matter where you are. So that caution. But just a real be very careful whether you're Google, CPM, the department of fill in the blank, before you put it out there as an external agent, right, that steps in sort of in lieu of a human connection.
MistyHmm Mm-hmm. So we're not gonna have the AI start like, you know, taking care of all of our sales and connections and, and doing that work, but It can help us, us to do that work. Yeah, no
RafaelRight. It helps us, and then of course, there's a question of what, what does that all look like in terms of workload? Um,
MistyHmm.
Teddy The Vet Bot And Trust
RafaelI ha- I have an example, by the way, for me as a consumer. So our uh, our veterinarian,
MistyMm-hmm
Rafaeluh, has an AI agent. His name is Teddy. And Teddy is so human-like that the first time I spoke to Teddy, I really thought I
Mistyto Teddy on the phone?
RafaelIt's on the phone, yes. You call, and they, and it's like, "Hi, I'm Teddy." And doesn't outright identify himself, itself, or whatever as an AI. He's just Teddy, and I'm like, "Hi, Teddy." I'm like, I, I fell into it. I started having a conversation with Teddy, and it took a good 30, dare I say maybe 45 seconds before I realized I was not talking to a human because it was very... Like in some ways, that was great. It was like, you know, at the end of the conversation, I already knew it was an AI agent at that point, but like, "Give Lola a little scratch for us," and it was, uh, like programmed to have the dog name. So there was a certain like, oh, how, how whimsical, how interesting. But the bottom line is I have grown to resent Teddy. I, I, I don't really wanna talk to a Teddy. I w- I want-- Like there are times where I'm calling, and even though it's a simple task that Teddy could absolutely do,
MistyMm-hmm.
RafaelI crave the human connection. Like I wanna talk to the woman who truly greets Lola at the veterinarian office
MistyHmm. Mm-hmm
JoelI had something similar for a different reason, but the, the voice took me almost a minute to figure out I'm not talking to somebody. But the, at the end it was, "Let me call you back when I have that information." and then the real person called me back. so it was like a handoff. so instead of me pushing buttons for this office or this office,
RafaelHmm.
MistyHmm.
Joelit got me to that
RafaelAnd how did you feel about it?
JoelI wish I could have just talked to, the real person to begin with because that's why I was calling. If you're gonna call me back, we could have had this already sort of thing
MistySure. Well, I think, okay, so I don't-- I'm think that the piece that's niggling in my brain is that, not that it took you time to figure out, like, I'm not, this is clearly not a shaming that it took you a minute to figure out it was AI, to be clear. It, yeah, it's more like what is it that cues us it's not a person? 'cause it didn't ever, if it didn't ever come out and say, "Oh, by the way, I'm an AI agent here to help you there's there's, still something in that conversation that at some point we're like, "I don't think this is a person."
JoelI think for me it became the, the responses. Like it wasn't quite in line to what we were talking about.
MistyIt felt canned or some sort of Mm-hmm. Mm-hmm.
JoelLike it went from being a personal hello, Lola, stuff like that, a personal conversation to just a little say hi to your dog or, you know, like
MistyUh-huh.
Joelthat shift
MistyInteresting.
Rafaelagree. I think it's the cadence, right? And when you start like, "Hi, I'm Te-," like, you know, that, that exchange, that sort of greeting that we do somewhat mechanically is, I think, easily mimicked. But then you start deviating from the right human cadence, and there's just like... It's subtle though, I have to say. That's why I think it takes a minute because, well, I guess frankly, there are humans who speak
MistyI was gonna, I was gonna say as a person with some neurodiversity, like there's, like, there's little, like picking up what's not typical human patterns and, you know, speech and, you know, like you said, can be easily mimicked. Like tho- like those all like ping in my brain as things I'm like, "Well, I've done many of those things my whole life." Like, you know? Z-- And, and we all do, Right. And so there's this, that's a, it's an interesting... And, and I love that it's like, it's just nuance. Like it's hard to even point to what the thing is, but it's the accumulation of tiny little signals that eventually... And because it's a thing that's happening in our world, right? We're becoming more aware of it and so on, like that we're like w- we suspect, right? And then we decide Yeah. That's interesting
RafaelDo
Dystopia, Generations, And Creative Fear
Rafaelyou all think that the dystopic versus utopic, you know, kind of debate is generational?
MistyHmm.
RafaelLike, is it, is it like boomers like me going, "Oh my gosh, this is what we read about in, in 1984," like before 1984 was upon us?
MistyMm-hmm. Mm-hmm. Before 1984 was like more than 40 years ago.
RafaelExactly
JoelRight
MistyIt's kinda crazy. It's hard for me to say that most of the people that I talk to about this are also of a similar generation and have, I would say some variation of like, "Yeah, it's probably gonna get us at some point to outright like, yeah, we're screwed," kinds of, you
RafaelRight. So we are probably at
Mistymother is still very convinced. She's like, "I'm not using any AI." I'm like, "Okay, goo- go right ahead, Mom." Like,
JoelRight
Mistyup your phone again and do some things." But she's like, "I'm, I'm just not gonna do the AI I'm like, "Okay." I mean, but she's at another generation, right? So there's... but Yeah, I don't know. I don't, I, haven't had this conversation with millennials even, probably. I mean, well, Joel's on the verge, but like, like for sure not Gen Z-ers or Alphas, you know, like beyond, like much younger.
Joelthat be even in their mindset, right? Like,
MistyMm-hmm. Mm-hmm. There, there's still a lot of dystopian... Like, the dystopian, like the post-apocalyptic dystopian sort of storyline is still very, very prevalent. Very, very prevalent in, in any age group
RafaelI, I had an interesting window when I, you know, I got to teach at a at a small university for a year. And so I did have undergraduates and graduate students, you know, of that. I, I can't peg the generations. There's so many now, it's hard. Like, I guess there always were many, but I just wasn't tracking them. Uh, and I, I was surprised that there are some real skeptics, I mean, among the, the younger generations. And, you know, I, I, I tried to find a pattern. I mean, I think I found kinda one pattern, which is folks who are in the creative world, right? So artists, art teachers, writers, you know, folks who identify as creatives, I think see this, And I, I get it. Like, I understand where they're coming from. See this as a, a real threat to their, uh, generation of ideas and, and art and, and visual beauty and so forth. And then there were, um, there was definitely a pattern of the younger educa- educators who were gonna work with younger populations being pretty firm about keeping not just AI, but technology in general out of, out of play spaces, out of emergent, you know, spaces, be it Montessori, Reggio, whatever. And, uh, that was interesting to me that w- that we teachers k- we know collectively what parts of the, you know, pre-K to 16 plus continuum need protecting, I think
MistyMm-hmm. Mm-hmm.
Schools, Devices, And Developmental Timing
JoelYeah, I think-- So here in Utah, it's actually a law, right? That they've put into place that you can't have devices in the schools right now. And So I'm just thinking about that, like we... So then what are we teaching more of We're teaching a human experience that somebody might not get to experience outside of that environment
RafaelAnd you're talking about the kind of g- legal constraints that are happening like in California and other places, more in the six through 12
JoelCorrect
RafaelYeah.
MistyMm-hmm. Mm-hmm.
Rafaelthat's interesting because I was about to say that we, we somehow think that there's a moment, second grade, third grade, fifth grade, there's like a moment where it's okay, you know?
JoelMm-hmm.
RafaelLike y- we've waited this far. We, we knew it... Like, you know it's, you know it's not okay to pre-K, for pre-K, right? And somehow we know that third and fourth grade it's time. A- and that, that depends on a very, Like linear developmental spectrum, right? Like, what if a third or fourth grader really is not in any way ready?
MistyMm-hmm.
RafaelAnd I would argue, some folks would argue, I'm not saying I would, but some folks would argue that, some young people are ready earlier. So is it more complicated than that? I don't know
MistyYeah. Well, and
Why Concrete Math Still Matters
Mistyit, it's interesting 'cause like as you're talking about that it makes me, reminds me about even, just as an example, when we were-- when we wrote the "Core Connections" first edition, which is now in its third edition, right. We wrote a book, right? And it, that's all it was was a book. And then it became an e-book, right? And the e-book was enhanced with tools and, various other links and, you know, oh, great, you can click And, find the graph. and I remember very distinctly there was a, point where I was like, "Wait a second. I don't think I want sixth graders clicking on this and just moving not real tiles around on a mat." Like the whole point is for them to have this physical experience so they can, like, build a physical idea and then build into a, like, a, you know, an abstract. First it's an abstraction of the tiles themselves connected to an abstraction that is a symbo- symbols, right? And I was like, moving them around on a screen is still an abstraction of it and so we went through and we really, we did a review even where we were like "Okay, where d- where do the t- tiles, one, stay with the intent of the lesson or the e-tools," whatever we had, "stay with the intent of the lesson, and where are they perhaps not, we'll call it developmentally appropriate?" right? And I remember we took a lot of them out, a lot of the e-tools back out of particularly the sixth grade and some in the seventh grade, and like in those middle school years where, like a lot of that transition, as a person who taught in middle school for 15 years Right A lot of that transition of like abstract abstraction happens, right? Usually.
RafaelAnd I think it's one of our continued strengths that we offer multiple venues for for learning, and some of them are digital and some of them are, you know, paper, pencil, uh, tactile. The tiles are interesting. It-- I, I, I had a conversation recently w- uh, it was kind of funny because it was about how our writers and, and creatives work with developers, right And how important it is that they, they work together hand-in-hand all along the path, right? Because there was a conversation where, uh, someone was like, "Well, well, is that one tile really that important?" And of course, the, the pedagogical colleague was like, "Yes, 'cause you can't complete the square without that one t-" Like, it's not like just a bunch of tiles that you're building a, a, a thing. You're, as you said, you're taking a, a, a representation of a representation. And the farther you get from, you know, kind of the, the concrete work that kids do, you know in pre-K, one, two, three, fourth grade, the more, the more distant you are from the data that is shaping your brain, Right
MistyMm-hmm. Mm-hmm. Yeah, one of the, one of the key moments for me, like in this whole idea of like abstraction and thinking about things was I was listening to some, I some video I was watching one time. I just remember it was Jo Boaler, and Jo Boaler was talking about how when, like functional MRIs show, I'm gonna very much just gist this, functional MRIs show that when we think-- when we add numbers, the part of our brain that imagines fingers, right? Where we would see our fingers, lights up. Like, we are still using our fingers in our head. Like, if that's, like that whole, you know, to me, and then she really talked about like with kids, you know, if you're still using your fingers, like they haven't internalized that enough, right? To move away from the concrete pieces. And that's not, that's not a bad thing. That just means that's, you haven't moved to that point yet, right? that whole difference of how long, when people ask, "How long should kids use t- you know, algebra tiles to solve?" I'm like, "Until they don't need them."
Joelright
MistyYou know? How long should I wait? Longer.
Rafaelexactly. Yes, longer
Joelthen I'm thinking about the w- I'm gonna make an assumption that, we... grew up counting fingers. Now somebody who's just being born now might not grow up that way 'cause they have a different technology. Their brain's gonna form in a different way. And then are we gonna put them maybe into the-- an environment where we take that away and go to counting fingers so they would get to the counting in a different direction biologically?
MistyI think that the idea of one-to-one correspondence, right? Kids start with this idea like that like, oh, it's there are three things eventually becomes the number three that doesn't have to represent individual objects is still a developmental thing that happens, right? We have to go through like The things that Piaget and, you know, all these other, you know, psychiatr- what do you all say? But when they discuss like those, that the development parts of our brain haven't... I don't think that's changed. I don't know. Maybe I'm wrong. I could be totally wrong on that, and our brains at some point, but I don't think they have
RafaelGet rewired. The thing is, we still-- Like, I used to, you know, pose the question to students in typically middle school where you were living, I was living, and I'd be like, "Why do we have a base 10 system?" Period. Just put it in the classroom, and they'd be like, "I, I don't know." And I would literally do things like this, and they I am raising all my fingers. And they still would be like, "What are you doing? Why are you being silly?"
MistyWhy are you giving us jazz hands?
RafaelAnd it's just curious because I think... I don't know. I don't know what I think about this. I th- I, I think that there is a constancy to the, the counting. Fingers are, like, there to count. Like, surely there's some evolutionary pathway where that just made a ton of sense to use our bodies to figure something out
MistyWell, and even, even other cultures that, use, have historically, right, used different bases, still used body parts to, to, to, I don't know, to like count them, right? To keep track
RafaelOr other tangible a- uh, objects.
MistyMm-hmm. I don't know. If, I mean, how do, I'm not sure how that relates to AI. See, this is a problem, the AI does, can't imagine fingers.
RafaelWell, I think AI goes like, they-- these are large language modules,
Voice, Efficiency, And Final Human Edit
Rafaelright? So in some ways, and and, you know, I know AI is getting better at math. AI was not good at math for quite a long time. Now it's... Anyway, I've read some stuff that suggests, uh, that that may be, that gap may be closing. But what AI now does is it creates a, a framework for our languaging that we didn't have before. And on the one hand, I'm like, "Wow, cool. We can get to A coherent paragraph, paper, report, executive summary more quickly. Awesome." And we do lose voice, right? we lose voice. like, what, what I'm noticing even in my own interaction with Claude, now we're back to Claude, is that like I have to insist that Claude use my voice.
MistyHmm. Mm-hmm.
RafaelI will literally say to Claude like, "Okay, you've gotten to know me enough. I, I like this sort of, you know, most of it. Now put it in my voice." And when you ask it that, I don't know if you've ever tried that, it actually does sound more like you. And then it, i-in my world, the world I live in for AI, I have to have the last word. I don't know if that's gonna go away or not, but I have to go in there even if it looks really, really good and, and scan it. And I think that's where folks, you know, you get other set of camps, right? Another set of camps. Oh, it's, it's more work th- it's a- it's more work than doing it yourself versus no, at some point there's an efficiency. And I would argue that once you have enough templates, particularly in, in, in work that is not like straight up creative, it does help you move forward in your thinking as long as you don't abdicate thinking to, to it, to, to Claude.
JoelCollaborating
RafaelYeah
MistyWow. Well, that was a great conversation. Thank you.
Rafaeldid we wanna do this today?
MistyI don't-- I mean,
JoelNo, I think we did
Mistygood. that was good.
Rafaelokay. Yeah, you guys, I, I am always amazed at what you can pull out of, like, what is truly like... It's like eh, Claude, go.
MistyYeah.
JoelYeah.
MistyRight.
RafaelSteady teams, go
MistyI mean, I thought we were gonna come in and talk about the World Cup, but, you know, that's,
RafaelWell, let's talk about it for a minute. No
JoelOkay.
World Cup Patterns And New Fans
RafaelSo I have become a World Cup-- like I've become a soccer fan.
MistyYeah. Yeah, no, I,
RafaelCup has achieved that thing that I thought would never happen, because my view of soccer was always like, it's really fun, like, you bring the scarf with you to the stadium, and you get in, and it's like super exciting,
Mistyvery exciting to go in
Rafaelflag, and then everyone's standing up, so that's your first like, "Huh, are they gonna stand up the whole time?"
MistyYeah, probably
Rafaelthen because I did not understand the game, full disclosure, I, I classified it or categorized it as, as quote unquote boring. But now when I see like more of the patterns within the game of soccer, it becomes more and more interesting. And now I'm like curious, right? Like now I'm curious about the rules and the nuances. It's a very nuanced game in terms of the rules and all sorts of things. It's interesting. And I kind of understand like, like the whole goalllll, you know, like, like making that thing like a huge deal. And this, again, my old point of view was like, why, why carry that on? Like, okay, goal, carry on. Extra point, carry on. And now I understand that like, like emotion goes from like here to here to here in soccer in like
MistyMm-hmm.
Rafaelspan, and it's kinda cool cool to watch
Mistyreally quickly sometimes. I think it's been really interesting watching different teams. One, I always like things like World Cup, Olympics, any kind of playoffs in sport. like I, that just love that, like, oh, the tension of one, you know, one team's gonna be on the top of the world, the other one's gonna be cr- you know, crushed. Uh, that sort of thing I've always loved that And, but I really think it's interesting in the World Cup, different, these, 'cause these different teams have very different kinds of strategies and strengths. like the game, the feel of the game can be really different 'cause some teams are much more aggressive and scoring more goals. Some are more defensive. They're, clearly they're like, whether they're doing a 4-1-3-2 or a 4-2-2, whatever, 4-4-1. Like, I mean, that like, shifts things also, like how they're arranging their people. and, then, like, they talk a lot about set plays. like I hear, or set pieces, right? And I don't know. what any of them are, but I can see they're doing it. Like, I'm like, "Okay, this is the thing they've practiced. This is the thing they're, you know, trying to do." But yeah, it's, it's... And then just the skill level at that, level. The, their ability to, like, run and kick a ball at the same time is pretty amazing.
JoelYeah Yeah. And what was it the other a few games ago, Argentina... I think it's Argentina-Egypt, they're behind two-nothing, and then they just go score three goals, and it's
Mistythere's a lot of
Joelthat was 90 minutes to just go do that Yeah. It was great
Rafaelbut you're right, it's more chess-like in my mind. Whereas... And I, I will remain an American football fan. I like American football, but
Misty100%.
Rafaelthink, I think American football might be more like checkers
JoelMm.
Rafaela little bit, right? 'Cause it's very, it's very like line up.
MistyMm-hmm.
JoelYeah
Rafaelare, I
Mistyto get to the other side.
Rafaelpredictable. Whereas here it's like this fluidity that's happening all over the field.
MistyWell, and sometimes they're just out there just, you know, moving the ball around and doing a thing and just waiting for that one little break. It's, it's pretty amazing. It's pretty amazing. Yeah. Yeah, so I, I very much enjoyed it. And I think, like, this is the first time in many years now that it's been in our time zones, right?
JoelYeah.
Mistyit's been much, much easier to get into and watch continuously, so...
RafaelWell, and in Seattle, 'cause we were, we were one
MistyYeah
Rafaelof those places the impact has been incredible. And it was, I mean, part of what I love, I, I too, Misty, love all these like gatherings from different parts of the planet to play a sport. And I know y- you, you know, some folks have gotten cynical with, with good cause, like, you know, the corporatization of all this. But at the heart of it, I still see that like interesting connecting across different, um, different countries, different cultures. And in Seattle it had a huge, huge effect
JoelI was we had the 2002 Winter Olympics, and I, was very much against having it. Like, "This is gonna wreck our city. This is gonna be awful." And it was the best, like, two weeks ever. It was so cool
Mistycoming back again, right?
Joelthose people. 34, 2034.
MistyMm-hmm. Nice.
JoelSo I'm wondering if you had something similar in Seattle, like if you're surprised by that or not?
RafaelNo, I am. I mean, I, uh, soccer has been a soc-- I mean, uh, Seattle has been a soccer city for, for, for many years, right? So people were pretty jazzed to have it. But then it's, it became an economic story. Like w- like we, we thought more people would come.
MistyMm.
Rafaelthe hotels aren't filling. I'm like, well, like, first of all, wait it out, right?
JoelYeah.
RafaelAnd it turns out that in the end, as, as, as more people started making decisions to come here and people in the city got engaged with it yeah, there was a huge impact. And getting into the stadium, like, honestly was a two to $4,000 proposition. So,
MistyYeah
RafaelI get the skepticism, and that's what leads people to go like, "Eh." But then Seattle did something unique I think among the host cities. It created a dispersion of watch areas.
Seattle Watch Parties And City Energy
JoelOkay
Rafaelwas this barge that was brought right up to the waterfront, and it was this big barge with a big TV and probably holding thousands of people. But then there was one in uh, the convention center by the stadium, and there was another one at the Armory by Seattle Center. And so it dispersed the watch parties all over the city. But our most fun watch party was just right here on Bainbridge Island.
JoelOh
RafaelOkay, this is off the record.
MistyOkay. Okay. Well, we'll edit this part out
RafaelYeah. I mean, there's nothing really saucy here, to be honest, just two old guys like meeting young people. So we go to, we go to the, the nearby winery, and there's a beautiful rooftop deck, and we're there, and we're cheering on, and it was Mexico and, oh gosh, or Eng- England, right? And we were rooting for Mexico, you know, full disclosure, right? It was a good match. And these young women, you know, come up to our table, and they're like making conversation. I mean, it was all above board, obviously. Um, and we had the best time watching this game. Like they came like, "You mind if we sit here?" And we just started g-- And I suspect that that sort of thing is what makes the city experience and the local experience really, really fun. It's like there you are at a table with people from another part of the world watching the same thing and kinda getting a kick out of it. So, ha-ha. No, no pun intended.
MistyOh, yeah. Oh, man. All right. Well, as always, Raphael, it's a
RafaelAll right. See what you can do with that.
MistyUh, we-
Rafaelreally curious
MistyYou make it sound like I'm gonna do some magical changes to it. No, I'm
RafaelYou guys are magical. I, I think--
Wrap Up And Cookie Day Tease
MistyAnd put it out there for people So that is all we have time for on this episode of the More Math For More People podcast. If you are interested in connecting with us on social media, find our links in the podcast description. And the music for the podcast was created by Julius H. and can be found on pixabay.com. So thank you very much, Julius. Join us in two weeks for the next episode of More Math For More People. What day will that be, Joel?
JoelIt will be August 4th, National Chocolate Chip Cookie Day. So Misty and I will talk about chocolate chip cookies, maybe some cookies in general. I remember one time when I was growing up, mom was at work and my aunt was taking care of me, so I wanted to make my mom some cookies. So I went to my cookbook I had to make a sugar cookie, and I made sugar cookies that were so hard that they would break your teeth, but my mom still told me I was a great cook anyway. So maybe we'll share that story, maybe others. But more than just sugar cookies, it's Chocolate Chip Cookie Day. So I can't wait to see you on August 4th. See you then