Podcasts about Mathematics

Tutita Casa, Anna Strauss, Jenna Waggoner & Mhret Wondmagegne, Developing Student Agency: The Strategy Showcase ROUNDING UP: SEASON 4 | EPISODE 7 When students aren't sure how to approach a problem, many of them default to asking the teacher for help. This tendency is one of the central challenges of teaching: walking the fine line between offering support and inadvertently cultivating dependence.  In this episode, we're talking with a team of educators about a practice called the strategy showcase, designed to foster collaboration and help students engage with their peers' ideas.  BIOGRAPHIES Tutita Casa is an associate professor of elementary mathematics education at the Neag School of Education at the University of Connecticut. Mhret Wondmagegne, Anna Strauss, and Jenna Waggoner are all recent graduates of the University of Connecticut School of Education and early career elementary educators who recently completed their first years of teaching. RESOURCE National Council of Teachers of Mathematics  TRANSCRIPT Mike Wallus: Well, we have a full show today and I want to welcome all of our guests. So Anna, Mhret, Jenna, Tutita, welcome to the podcast. I'm really excited to be talking with you all about the strategy showcase. Jenna Waggoner: Thank you.  Tutita Casa: It's our pleasure.  Anna Strauss: Thanks.  Mhret Wondmagegne: Thank you. Mike: So for listeners who've not read your article, Anna, could you briefly describe a strategy showcase? So what is it and what could it look like in an elementary classroom? Anna: So the main idea of the strategy showcase is to have students' work displayed either on a bulletin board—I know Mhret and Jenna, some of them use posters or whiteboards. It's a place where students can display work that they've either started or that they've completed, and to become a resource for other students to use. It has different strategies that either students identified or you identified that serves as a place for students to go and reference if they need help on a problem or they're stuck, and it's just a good way to have student work up in the classroom and give students confidence to have their work be used as a resource for others. Mike: That was really helpful. I have a picture in my mind of what you're talking about, and I think for a lot of educators that's a really important starting point.  Something that really stood out for me in what you said just now, but even in our preparation for the interview, is the idea that this strategy showcase grew out of a common problem of practice that you all and many teachers face. And I'm wondering if we can explore that a little bit. So Tutita, I'm wondering if you could talk about what Anna and Jenna and Mhret were seeing and maybe set the stage for the problem of practice that they were working on and the things that may have led into the design of the strategy showcase. Tutita: Yeah. I had the pleasure of teaching my coauthors when they were master's students, and a lot of what we talk about in our teacher prep program is how can we get our students to express their own reasoning? And that's been a problem of practice for decades now. The National Council of Teachers of Mathematics has led that work. And to me, [what] I see is that idea of letting go and really being curious about where students are coming from. So that reasoning is really theirs. So the question is what can teachers do? And I think at the core of that is really trying to find out what might be limiting students in that work. And so Anna, Jenna, and Mhret, one of the issues that they kept bringing back to our university classroom is just being bothered by the fact that their students across the elementary grades were just lacking the confidence, and they knew that their students were more than capable. Mike: Jenna, I wonder if you could talk a little bit about, what did that actually look like? I'm trying to imagine what that lack of confidence translated into. What you were seeing potentially or what you and Anna and Mhret were seeing in classrooms that led you to this work. Jenna: Yeah, I know definitely we were reflecting, we were all in upper elementary, but we were also across grade levels anywhere from fourth to fifth grade all the way to sixth and seventh. And across all of those places, when we would give students especially a word problem or something that didn't feel like it had one definite answer or one way to solve it or something that could be more open-ended, we a lot of times saw students either looking to teachers. "I'm not sure what to do. Can you help me?" Or just sitting there looking at the problem and not even approaching it or putting something on their paper, or trying to think, "What do I know?" A lot of times if they didn't feel like there was one concrete approach to start the problem, they would shut down and feel like they weren't doing what they were supposed to or they didn't know what the right way to solve it was. And then that felt like kind of a halting thing to them. So we would see a lot of hesitancy and not that courage to just kind of be productively struggling. They wanted to either feel like there was something to do or they would kind of wait for teacher guidance on what to do. Mike: So we're doing this interview and I can see Jenna and the audience who's listening, obviously Jenna, they can't see you, but when you said "the right way," you used a set of air quotes around that. And I'm wondering if you or Anna or Mhret would like to talk about this notion of the right way and how when students imagined there was a right way, that had an effect on what you saw in the classroom. Jenna: I think it can be definitely, even if you're working on a concept like multiplication or division, whatever they've been currently learning, depending on how they're presented instruction, if they're shown one way how to do something but they don't understand it, they feel like that's how they're supposed to understand to solve the problem. But if it doesn't make sense for them or they can't see how it connects to the problem and the overall concept, if they don't understand the concept for multiplication, but they've been taught one strategy that they don't understand, they feel like they don't know how to approach it. So I think a lot of it comes down to they're not being taught how to understand the concept, but they're more just being given one direct way to do something. And if that doesn't make sense to them or they don't understand the concepts through that, then they have a really difficult time of being able to approach something independently. Mike: Mhret, I think Jenna offered a really nice segue here because you all were dealing with this question of confidence and with kids who, when they didn't see a clear path or they didn't see something that they could replicate, just got stuck, or for lack of a better word, they kind of turned to the teacher or imagined that that was the next step. And I was really excited about the fact that you all had designed some really specific features into the strategy showcase that addressed that problem of practice. So I'm wondering if you could just talk about the particular features or the practices that you all thought were important in setting up the strategy showcase and trying to take up this practice of a strategy showcase. Mhret: Yeah, so we had three components in this strategy showcase. The first one, we saw it being really important, being open-ended tasks, and that combats what Jenna was saying of "the right way." The questions that we asked didn't ask them to use a specific strategy. It was open-ended in a way that it asked them if they agreed or disagreed with a way that someone found an answer, and it just was open to see whatever came to their mind and how they wanted to start the task. So that was very important as being the first component.  And the second one was the student work displayed, which Anna was talking about earlier. The root of this being we want students' confidence to grow and have their voices heard. And so their work being displayed was very important—not teacher work or not an example being given to them, but what they had in their mind. And so we did that intentionally with having their names covered up in the beginning because we didn't want the focus to be on who did it, but just seeing their work displayed—being worth it to be displayed and to learn from—and so their names were covered up in the beginning and it was on one side of the board.  And then the third component was the students' co-identified strategies. So that's when after they have displayed their individual work, we would come up as a group and talk about what similarities did we see, what differences in what the students have used. And they start naming strategies out of that. They start giving names to the strategies that they see their peers using, and we co-identify and create this strategy that they are owning. So those are the three important components. Mike: OK. Wow. There's a lot there. And I want to spend a little bit of time digging into each one of these and I'm going to invite all four of you to feel free to jump in and just let us know who's talking so that everybody has a sense of that.  I wonder if you could talk about this whole idea that, when you say open-ended tasks, I think that's really important because it's important that we build a common definition. So when you all describe open-ended tasks, let's make sure that we're talking the same language. What does that mean? And Tutita, I wonder if you want to just jump in on that one. Tutita: Sure. Yeah. An open-ended task, as it suggests, it's not a direct line where, for example, you can prompt students to say, "You must use 'blank' strategy to solve this particular problem." To me, it's just mathematical. That's what a really good rich problem is, is that it really allows for that problem solving, that reasoning. You want to be able to showcase and really gauge where your students are. Which, as a side benefit, is really beneficial to teachers because you can formatively assess where they're even starting with a problem and what approaches they try, which might not work out at first—which is OK, that's part of the reasoning process—and they might try something else. So what's in their toolbox and what tool do they reach for first and how do they use it? Mike: I want to name another one that really jumped out for me. I really—this was a big deal that everybody's strategy goes up. And Anna, I wonder if you can talk about the value and the importance of everybody's strategy going up. Why did that matter so much? Anna: I think it really helps, the main thing, for confidence. I had a lot of students who in the beginning of starting the strategy showcase would start kind of like at least with a couple ideas, maybe a drawing, maybe they outlined all of the numbers, and it helps to see all of the strategies because even if you are a student who started out with maybe one simple idea and didn't get too far in the problem, seeing up on the board maybe, "Oh, I have the same beginning as someone else who got farther into the problem." And really using that to be like, "I can start a problem and I can start with different ideas, and it's something that can potentially lead to a solution." So there is a lot of value in having all of the work that everyone did because even something that is just the beginning of a solution, someone can jump in and be like, "Oh, I love the way that you outlined that," or "You picked those numbers first to work on. Let's see what we can use from the way that you started the problem to begin to work on a solution." So in that way, everyone's voice and everyone's decisions have value. And even if you just start off with something small, it can lead to something that can grow into a bigger solution. Mike: Mhret, can I ask you about another feature that you mentioned? You talked about the importance, at least initially, of having names removed from the work. And I wonder if you could just expand on why that was important and maybe just the practical ways that you managed withholding the names, at least for some of the time when the strategy showcase was being set up. Can you talk about both of those please? Mhret: Yes, yeah. I think all three of us when we were implementing this, we—all kids are different. Some of them are very eager to share their work and have their name on it. But we had those kids that maybe they just started with a picture or whatever it may be. And so we saw their nerves with that, and we didn't want that to just mask that whole experience. And so it was very important for us that everybody felt safe. And later we'll talk about group norms and how we made it a safe space for everyone to try different strategies. But I think not having their names attached to it helped them focus not on who did it, but just the process of reasoning and doing the work. And so we did that practically I think in different ways, but I just use tape, masking tape to cover up their names. I know some of—I think maybe Jenna, you wrote their names on the back of the paper instead of the front. But I think a way to not make the name the focus is very important. And then hopefully by the end of it, our hope is that they would gain more confidence and want to name their strategy and say that that is who did it. Mike: I want to ask a follow up about this because it feels like one of the things that this very simple, but I think really important, idea of withholding who created the strategy or who did the work. I mean, I think I can say during my time in classrooms when I was teaching, there are kids that classmates kind of saw as really competent or strong in math. And I also know that there were kids who didn't think they were good at math or perhaps their classmates didn't think were good at math. And it feels like by withholding the names that would have a real impact on the extent to which work would be considered as valuable. Because you don't know who created it, you're really looking at the work as opposed to looking at who did the work and then deciding whether it's worth taking up. Did you see any effects like that as you were doing this? Jenna: This is Jenna. I was going to say, I know for me, even once the names were removed, you would still see kids sometimes want to be like, "Oh, who did this?" You could tell they still are almost very fixated on that idea of who is doing the work. So I think by removing it, it still was definitely good too. With time, they started to less focus on "Who did this?" And like you said, it's more taking ownership if they feel comfortable later down the road. But sometimes you would have, several students would choose one approach, kind of what they've seen in classrooms, and then you might have a few other slightly different, of maybe drawing a picture or using division and connecting it to multiplication. And then you never wanted those kids to feel like what they were doing was wrong. Even if they chose the wrong operation, there was still value in seeing how that was connected to the problem or why they got confused. So we never wanted one or two students also to feel individually focused on if maybe what they did initially—not [that it] wasn't correct, but maybe was leading them in the wrong direction, but still had value to understand why they chose to do that. So I think just helping, again, all the strategies work that they did feel valuable and not having any one particular person feel like they were being focused on when we were reflecting on what we put up on display. Mike: I want to go back to one other thing that, Mhret, you mentioned, and I'm going to invite any of you, again, to jump in and talk about this, but this whole idea that part of the prompting that you did when you invited kids to examine the strategies was this question of do you agree or do you disagree? And I think that's a really interesting way to kind of initiate students' reflections. I wonder if you can talk about why this idea of, "Do you agree or do you disagree" was something that you chose to engage with when you were prompting kids? And again, any of you all are welcome to jump in and address this, Anna: It's Anna. I think one of the reasons that we chose to [have them] agree or disagree is because students are starting to look for different ways to address the problem at hand. Instead of being like, "I need to find this final number" or "I need to find this final solution," it's kind of looking [at], "How did this person go about solving the problem? What did they use?" And it gives them more of an opportunity to really think about what they would do and how what they're looking at helps in any way. Jenna: And then this is Jenna. I was also going to add on that I think by being "agree or disagree" versus being like, "yes, I got the same answer," and I feel like the conversation just kind of ends at that point. But they could even be like, "I agree with the solution that was reached, but I would've solved it this way, or my approach was different." So I think by having "agree or disagree," it wasn't just focusing on, "yes, this is the correct number, this is the correct solution," and more focused on, again, that approach and the different strategies that could be used to reach one specific solution that was the answer or the correct thing that you're looking for. Tutita: And this is Tutita, and I agree with all of that. And I can't help but going back just to the word "strategy," which really reflects students' reasoning, their problem solving, argumentation. It's really not a noun; it's a verb. It's a very active process. And sometimes we, as teachers, we're so excited to have our students get the right answer that we forget the fun in mathematics is trying to figure it out.  And I can't help but think of an analogy. So many people love to watch sports. I know Jenna's a huge UConn women's basketball… Jenna: Woohoo! Tutita: …fan, big time. Or if you're into football, whatever it might be, that there's always that goal. You're trying to get as many more points, and as many as you can, more points than the other team. And there are a lot of different strategies to get there, but we appreciate the fact that the team is trying to move forward and individuals are trying to move forward. So it's that idea with the strategy, we need to as teachers really open up that space to allow that to come out and progressively—in the end, we're moving forward even though within a particular time frame, it might not look like we are quite yet. I like the word "yet." But it's really giving students the time that they need to figure it out themselves to deepen their understanding. Mike: Well, I will say as a former Twin Cities resident, I've watched Paige Bueckers for a long time, and… Tutita: There we go. Mike: …in addition to being a great shooter, she's a pretty darn good passer and moves the ball.  And in some ways that kind of connects with what you all are doing with kids, which is that—moving ideas around a space is really not that different from moving the ball in basketball. And that you have the same goal in scoring a basket or reaching understanding, but it's the exchange that are actually the things that sometimes makes that happen. Jenna: I love it. Thank you.  Tutita: Nice job. Mike: Mhret, I wanted to go back to this notion that you were talking about, which is co-naming the strategies as you were going through and reflecting on them. I wonder if you could talk a little bit about, what does co-naming mean and why was it important as a part of the process? Mhret: Mm-hmm. Yeah. So, I think the idea of co-naming and co-identifying the strategies was important. Just to add on to the idea, we wanted it all to be about the students and their voice, and it's their strategy and they're discussing and coming up with everything. And we know of the standard names of strategies like standard algorithm or whatever, but I think it gave them an extra confidence when it was like, "Oh, we want to call it—" I forgot the different names that they would come up with for strategies. Jenna: I think they had said maybe "stacking numbers," something like that. They would put their own words. It wasn't standard algorithm, but like, "We're going to stack the numbers on top of each other," I think was maybe one they had said. Mhret: Mm-hmm. So I think it added to that collaboration within the group that they were in and also just them owning their strategy. And so, yeah. Mike: That leads really nicely into my next question. And Anna, this is one I was going to pose to you, but everyone else is certainly welcome to contribute.  I'm wondering if you could talk a little bit about what happened when you all started to implement this strategy showcase in your classroom. So what impacts did you see on students' efficacy, their confidence, the ways that they collaborated? Could you talk a little bit about that? Anna: So I think one of the biggest things that I saw that I was very proud of was there was less of a need for me to become part of the conversation as the teacher because students were more confident to build off of each other's ideas instead of me having to jump in and be like, "Alright, what do we think about what this person did?" Students, because their work became more anonymous and because everyone was kind of working together and had different strategies, they were more open to discussing with each other or working off of each other's ideas because it wasn't just, "I don't know how to do this strategy." It was working together to really put the pieces together and come to a final agree or disagree.  So it really helped me almost figure out where students are, and it brought the confidence into the students without me having to step in and really officiate the conversation. So that was the really big thing that I saw at least in some of my groups, was that huge confidence and more communication happening. Mhret: Yeah. This is Mhret. I think it was very exciting too, like Anna was saying, that—them getting excited about their work, and everything up on the board is their work. And so seeing them with a sticky note, trying to find the similarities and differences between strategies, and getting excited about what someone is doing, I think that was a very good experience and feeling for me because of the confidence that I saw grow through the process of the kids, but also the collaboration of, "It's OK to use what other people know to build upon the things that I need to build upon." And so I think it just increased collaboration, which I think is really important when we talk about reasoning and strategies. Mike: Which actually brings me to my next question, and Jenna, I was wondering if you could talk a little bit about: What did you see in the ways that students were reasoning around the mathematics or engaging in problem solving? Jenna: Yeah, I know one specific example that stood out was—again, that initial thing of when we gave a student a problem, they would look to the teacher and a little bit later on in the process when giving a problem, we had done putting the strategies up, we'd cocreated the names, and then they were trying a similar problem independently. And one of my students right off the bat had that initial reaction that we would've seen a few weeks ago of being like, "I don't know what to do." And she put a question mark on the paper. So I gave her a minute and then she looked at me and I said, "Look at this strategy. Look at what you and your classmates have done to come together." And then she got a little redirection, but it wasn't me telling her what to do. And from there I stepped away and let her just reference that tool that was being displayed. And from there, she was able to show her work, she was able to choose a strategy she wanted to do, and she was able to give her answer of whether she agreed or disagreed on what she had seen. So I think it was just again, that moment of realizing that what I needed to step in and do was a lot smaller than it had previously been, and she could use this tool that we had created together and that she had created with her peers to help her answer that question. Anna: I think to add onto that, it's Anna, there was a huge spike in efficiency as well because all these different strategies were being discovered and brought to light and put onto the strategy showcase. Maybe if we're talking about multiplication, if some student had repeated addition in the beginning and they're repeatedly adding numbers together to find a multiplication product, they're realizing, "Oh my goodness, I can do this so much more efficiently if I use this person's strategy or if I try this one instead." And it gives them the confidence to try different things. Instead of getting stuck in the rut of saying, "This is my strategy and this is the way that I'm going to do it," they became a little more explorative, and they wanted to try different things out or maybe draw a picture and use that resource to differentiate their math experience. Mike: I want to mark something here that seems meaningful, which is this whole notion that you saw this spike. But the part that I'm really contemplating is when you said kids were less attached to, "This is my strategy" and more willing to adopt some of the ideas that they saw coming out of the group. That feels really, really significant, both in terms of how we want kids to engage in problem solving and also in terms of efficacy. That really I think is one to ponder for folks who are listening to the podcast, is the effect on students' ability to be more flexible in adopting ideas that may not have been theirs to begin with. Thank you for sharing that. Anna.  I wonder if you could also spend a bit of time talking about some of the ways that you held onto or preserve the insights and the strategies that emerged during a showcase. Are there artifacts or ways that a teacher might save what came from a strategy showcase for future reference? Anna: So, I think the biggest thing as a takeaway and something to hold onto as a teacher who uses the strategy showcase is the ability to take a step back and allow students to utilize the resources that they created. And I think something that I used is I had a lot of intervention time and time where students were able to work in small groups and work together in teams and that sort of thing, keeping their strategies and utilizing them in groups. Remember when this person brought up this strategy, maybe we can build off of that and really utilizing their work and carrying it through instead of just putting it up and taking it down and putting up another one. Really bringing it through. And any student work is valuable. Anything that a student can bring to the table that can be used in the future, like holding onto that and re-giving them that confidence. "Remember when this person brought up that we can use a picture to help solve this problem?" Bringing that back in and recycling those ideas and bringing back in not just something that the teacher came up with, but what another student came up with, really helps any student's confidence in the classroom. Mike: So I want to ask a question, and Tutita and Mhret, I'm hoping you all can weigh in on this. If an educator wanted to implement the strategy showcase in their classroom, I want to explore a bit about how we could help them get started. And Tutita, I think I want to start with you and just say from a foundational perspective of building the understanding that helps support something like a strategy showcase, what do you think is important? Tutita: I actually think there are two critical things. The first is considering the social aspect and just building off of what Anna was saying is, if you've listened carefully, she's really honoring the individual. So instead of saying, "Look," that there was this paper up there—as teachers, we have a lot on our walls—it's actually naming the student and honoring that student, even though it's something that as a teacher, you're like, "Yes, someone said it! I want them to actually think more about that." But it's so much more powerful by giving students the credit for the thinking that they're doing to continue to advance that. And all that starts with assuming that students can. And oftentimes at the elementary level, we tend to overlook that. They're so cute—especially those kindergartens, pre-K, kindergarten—but it's amazing what they can do. So if you start with assuming that they can and waiting for their response, then following up and nurturing that, I think you as teachers will get so much more from our students and starting with that confidence. And that brings me to the next point that I think listeners who teach in the upper elementary grades or maybe middle school or high school might be like, "Oh, this sounds great. I'll start with them." But I want to caution that those students might be even more reticent because they might think that to be a good math student, you're supposed to know the answer, you're supposed to know it quickly, and there's one strategy you're supposed to use. And so, in fact, I would argue that probably those really cute pre-K and kindergartners will probably be more open because if anyone has asked a primary student to explain what they have down on paper, 83 minutes later, the story will be done.  And so it might take time. You have to start with that belief and just really going with where your class and individuals are socially. Some of them might not care that you use their name. Others might, and that might take time. So taking the time and finding different ways to stay with that belief and make sure that you're transferring it to students once they have it. As you can hear, a lot of what my coauthors mentioned, then they take it from there. But you have to start with that belief at the beginning that elementary students can. Mike: Mhret, I wonder if you'd be willing to pick up on that, because I find myself thinking that the belief aspect of this is absolutely critical, and then there's the work that a teacher does to build a set of norms or routines that actually bring that belief to life, not only for yourself but for students. I wonder if you could talk about some of the ways that a teacher might set up norms, set up routines, maybe even just set up their classroom in ways that support the showcase. Mhret: Yeah. So practically, I think for the strategy showcase, an important aspect is finding a space that's accessible to students because we wanted them to be going back to it to use it as a resource. So some of us used a poster board, a whiteboard, but a vertical space in the room where students can go and see their work up I think is really important so that the classroom can feel like theirs. And then we also did a group norm during our first meeting with the kids where we co-constructed group norms with the kids of like, "What does it look like to disagree with one another?" "If you see a strategy that you haven't used, how can you be kind with our words and how we talk about different strategies that we see up there?" I think that's really important for all grades in elementary because some kids can be quick to their opinions or comments, and then providing resources that students can use to share their idea or have their idea on paper I think is important. If that's sticky notes, a blank piece of paper, pencils, just practical things like that where students have access to resources where they can be thinking through their ideas.  And then, yeah, I think just constantly affirming their ideas that, as a teacher, I think—I teach second grade this year and [they are] very different from the fourth graders that I student taught—but I think just knowing that every kid can do it. They are able, they have a lot in their mind. And I think affirming what you see and building their confidence does a lot for them. And so I think always being positive in what you see and starting with what you see them doing and not the mistakes or problems that are not important. Mike: Jenna, before we go, I wanted to ask you one final question. I wonder if you could talk about the resources that you drew on when you were developing the strategy showcase. Are there any particular recommendations you would have for someone who's listening to the podcast and wants to learn a little bit more about the practices or the foundations that would be important? Or anything else that you think it would be worth someone reading if they wanted to try to take up your ideas? Jenna: I know, in general, when we were developing this project—a lot of it again came from our seminar class that we did at UConn with Tutita—and we had a lot of great resources that she provided us. But I know one thing that we would see a lot that we referenced throughout our article is the National Council of Teachers of Mathematics. I think it's just really important that when you're building ideas to, one, look at research and projects that other people are doing to see connections that you can build on from your own classroom, and then also talking with your colleagues. A lot of this came from us talking and seeing what we saw in our classrooms and commonalities that we realized that we're in very different districts, we're in very different grades and what classrooms look like. Some of us were helping, pushing into a general ed classroom. Some of us were taking kids for small groups. But even across all those differences, there were so many similarities that we saw rooted in how kids approach problems or how kids thought about math. So I think also it's just really important to talk with the people that you work with and see how can you best support the students. And I think that was one really important thing for us, that collaboration along with the research that's already out there that people have done. Mike: Well, I think this is a good place to stop, but I just want to say thank you again. I really appreciate the way that you unpack the features of the strategy showcase, the way that you brought it to life in this interview. And I'm really hopeful that for folks who are listening, we've offered a spark and other people will start to take up some of the ideas and the features that you described. Thanks so much to all of you for joining us. It really has been a pleasure talking with all of you. Jenna: Thank you.  Anna: Thank you Mhret: Thank you.  Tutita: Thank you so much. Mike: This podcast is brought to you by The Math Learning Center and the Maier Math Foundation, dedicated to inspiring and enabling all individuals to discover and develop their mathematical confidence and ability. © 2025 The Math Learning Center | www.mathlearningcenter.org

I don't often have repeat guests on How To Fail but Mo Gawdat is the exception. When he first came on this podcast in 2019, he fundamentally changed my mindset and my approach to life. Back then, he was on a mission to make 1 billion people happier. Now, he returns to focus his brilliant philosophical and analytical brain to the perpetual human question: how to find true love, then nurture and sustain it. He joins me to discuss the three most frequent mistakes we make in love - and to explain how AI could be the saving of us. Mo is about to launch a game-changing AI-powered app called Emma that promises to help us all navigate the dating game with compassion and insight. This is the first time Mo has spoken in depth about this revolutionary new app so, yes, that IS a How To Fail exclusive, no biggie. ✨ IN THIS EPISODE: 00:00 Introduction 04:29 Personal Growth and Relationships 05:40 Heartbreak and Grief 10:03 Reflections on Love and Breakups 18:12 The Complexity of Modern Dating 21:45 Introducing Emma: The AI for True Love 29:53 The Mathematics of Dating 30:33 The Law of Large Numbers in Love 32:54 Dating Fatigue and Its Consequences 33:39 Game Theory in Relationships 36:52 AI's Role in Modern Relationships 39:15 The Economics of Love and Relationships 47:52 Finding Contentment Amidst Global Chaos

Renaissance Man Thomas Harriot was noted for many things - devising the theory of refraction, creating mathematical symbols including ‘greater than' and ‘lesser than', and being the first person to draw the Moon through a telescope. But the contribution for which he's most remembered is bringing back the potato to Britain - an event commonly credited to 3rd December, 1586. On first spotting the vegetable on Roanoke Island, he wrote: ‘They are a kind of roots of round form, some of the bigness of walnuts, some far greater, which are found in moist & marish grounds growing many together one by another in ropes, or as though they were fastened with a string. Being boiled or sodden they are very good meate.' In this episode, Arion, Olly and Rebecca ask what a ‘versifier' is; come up with a new name for Accountancy; and discover the bizarre means by which Antoine-Augustin Parmentier popularised spuds in France… Further Reading: • ‘The history of the potato: The humble vegetable that changed the world' (Sky HISTORY): https://www.history.co.uk/articles/the-history-of-the-potato-the-humble-vegetable-that-changed-the-world • ‘Thomas Harriot (1560 - 1621) - Biography' (MacTutor History of Mathematics, St Andrews University): https://mathshistory.st-andrews.ac.uk/Biographies/Harriot/ • ‘History through the eyes of the potato' (Leo Bear-McGuinness, TEDx 2015): https://www.youtube.com/watch?v=xROmDsULcLE This episode first aired in 2021 Love the show? Support us!  Join 

Rob riffs on the fifth studio album by No Doubt, “Rock Steady,” from December 2001 (Intro / Hella Good / Hey Baby / Platinum Blonde Life / Making Out). STAFF PICKS: “Blurry” by Puddle of Mudd — Lynch. “In Too Deep” by Sum 41 — Bruce.   ENTERTAINMENT TRACK: “A Kaleidoscope of Mathematics” (from the motion picture "A Beautiful Mind"). 

On today's episode, Kyle Grieve discusses powerful mental models from systems thinking and mathematics and applies them directly to investing and life. He breaks down concepts like feedback loops, kill criteria, scale, compounding, randomness, and regression to the mean to show how they shape real-world outcomes. He'll also share practical frameworks for improving decision-making, managing uncertainty, and positioning your portfolio to benefit from long-term compounding. IN THIS EPISODE YOU'LL LEARN: 00:00:00 - Intro 00:03:23 - How feedback loops stabilize or reinforce outcomes in investing 00:10:11 - How kill criteria help you make predetermined decisions in a noisy world 00:14:09 - Why the cone of uncertainty is useful for evaluating conviction and position sizing 00:17:33 - How scale changes the behavior, costs, and risks of a growing business 00:25:06 - How algorithms clarify which inputs drive the conclusions you rely on 00:30:20 - How to evaluate a company's ability to reach critical mass and become self-sustaining 00:35:35 - The hidden forms of compounding that are just as powerful as the visible ones 00:40:02 - Why power laws should influence your portfolio concentration 00:43:12 - How randomness shapes investing outcomes, and how to take advantage of it 00:51:24 - Why regression to the mean matters during periods of strong or weak performance Disclaimer: Slight discrepancies in the timestamps may occur due to podcast platform differences. BOOKS AND RESOURCES Join the exclusive ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠TIP Mastermind Community⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠ to engage in meaningful stock investing discussions with Stig, Clay, Kyle, and the other community members. Buy Thinking in Systems ⁠here⁠. Buy The Great Mental Models Vol 3: Systems and Mathematics ⁠here⁠. Buy Quit ⁠here⁠. Listen to my interview with Annie Duke ⁠here⁠. Follow Kyle on ⁠⁠⁠X⁠⁠⁠ and ⁠⁠⁠LinkedIn⁠⁠⁠. Related ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠books⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠ mentioned in the podcast. Ad-free episodes on our ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠ ⁠⁠⁠⁠⁠⁠⁠⁠Premium Feed⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠. NEW TO THE SHOW? Get smarter about valuing businesses in just a few minutes each week through our newsletter, ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠The Intrinsic Value Newsletter⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠. Check out our ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠We Study Billionaires Starter Packs⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠. Follow our official social media accounts: ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠X (Twitter)⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠ | ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠LinkedIn⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠ | ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠Instagram⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠ | ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠Facebook⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠ | ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠TikTok⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠. Browse through all our episodes (complete with transcripts) ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠here⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠. Try our tool for picking stock winners and managing our portfolios: ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠TIP Finance Tool⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠. Enjoy exclusive perks from our ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠favorite Apps and Services⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠. Learn how to better start, manage, and grow your business with the ⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠best business podcasts⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠. SPONSORS Support our free podcast by supporting our sponsors: Simple Mining Human Rights Foundation Unchained Onramp HardBlock Amazon Ads reMarkable Alexa+ Linkedin Talent Solutions Public.com Vanta Netsuite Shopify Abundant Mines Horizon Learn more about your ad choices. Visit megaphone.fm/adchoices Support our show by becoming a premium member! https://theinvestorspodcastnetwork.supportingcast.fm

In today's episode of Next Level University, hosts Kevin Palmieri and Alan Lazaros break down why so many people stay stuck by relying on emotion instead of objective data. You'll learn how understanding your numbers builds real confidence, how measurable feedback improves decision-making, and why tracking your behavior is a cornerstone of long-term personal development. This conversation highlights the role of data, clarity, and self-awareness in creating consistent results, especially for anyone serious about growth, success, and high performance. If you've been feeling uncertain, frustrated, or unclear about your next step, this episode reveals the skill that elevates focus, accuracy, and long-term progress. Press play and become the person who builds their future with intention and evidence, not emotion or chance.Learn more about:Next Level Hope Foundation – GoFundMe donation link https://gofund.me/5c6abcf7f Episode Reference:The Map of Mathematics - https://www.youtube.com/watch?v=OmJ-4B-mS-YVisual Asset:Foundational Mathematical Thinking - https://drive.google.com/file/d/1MVXeaS3F_7pK_aR3xHnQ7UGg-NPwbE31/view?usp=drive_link_______________________NLU is not just a podcast; it's a gateway to a wealth of resources designed to help you achieve your goals and dreams. From our Next Level Dreamliner to our Group Coaching, we offer a variety of tools and communities to support your personal development journey.For more information, check out our website and socials using the links below.

Ashish Ranjan is an ex-ISRO, ex- BARC Scientist. He has spent the past 5 years writing a book on his experience of getting selected and working in India's Nuclear program and how he worked his way up into India's space program despite his poor academic background. Ashish had scored 53/100 in Mathematics and 61/100 in Physics on his 12th boards. He had even failed Physics in his 11th Standard. Ashish never got admitted to top universities for his B.Tech. like IITs or NITs. Yet, he made his way into India's two of the largest research organizations as a Scientist and got selected for Masters program in IIT Bombay. He has recently published a Book, "The Boy Who Did Not Sign" which is a fictional story inspired by a true event in Ashish's life in BARC and his road to securing an AIR-4 in ISRO national level Entrance Exam. The book is about pursuing a dream career despite our limitations and disadvantages, about relationship dynamics we all face, and about doing the right thing. The Boy Who Did Not Sign is now published worldwide (Paperback + eBook).–––––––––––––––––––

About David Cohen:David Cohen, FACHE, serves as the Chief Product and Technology Officer at Greenway Health, leading the company's technology and product strategy to drive digital healthcare innovation. Since joining in 2019, he has played a key role in modernizing Greenway's solutions and driving better outcomes for providers and patients. He also serves on the Board of the CommonWell Health Alliance, promoting interoperability across the healthcare ecosystem.Previously, David spent over 13 years at Cerner Corporation in leadership roles spanning Cerner Intelligence, Clinical Solutions, and Innovation. He began his career in technology and consulting with Pfizer and ThoughtWorks. David holds an MBA from The University of Chicago Booth School of Business and a BA in Integrated Science and Mathematics from Northwestern University.Things You'll Learn:Intelligent automation is central to transforming ambulatory healthcare, enabling providers to reduce administrative tasks and allocate more time to patient care.Greenway's “agentic-first architecture” treats AI not as a tool but as the core product, enabling end-to-end workflow automation across the encounter-to-cash spectrum.By working closely with customers and using a “working backwards” approach, Greenway designs solutions that directly address real-world practice challenges.Automation in documentation, chart review, and revenue cycle management enhances efficiency and improves care coordination through platforms like AWS HealthLake.David emphasizes “time compression,” focusing on delivering innovation within months rather than years to meet the urgent needs of healthcare providers.Resources:Connect with and follow David Cohen on LinkedIn.Follow Greenway Health on LinkedIn and visit their website. 

On October 16, 1843, William Rowan Hamilton was taking a walk with his wife Helen. He was on his way to preside over a meeting of the Royal Irish Academy. As Hamilton came to Broome Bridge, over the Royal Canal, the solution to a vexing problem finally emerged in front of him. He was so excited, and perhaps so afraid that he might forget, that he pulled out his penknife and carved the equation he had so suddenly conceived on the stonework of the bridge. That might not seem like such a revolutionary moment. But as my guest Robyn Arianrohd explains, Hamilton's equation was the result of long centuries of mathematical effort. And its consequences would be immense. Because Hamilton's thought made possible the concepts known as vectors and tensors. And vectors and tensors underlie much of modern science and technology, because they are used whenever a scientist or an engineer wants to use locations in space–everything from designing a bridge, to predicting the path of a gravitational wave; and there's quite a lot of territory in between those two applications. That moment by the Broome Bridge ushered in a new era. Robyn Arianrohd is a mathematician, and a historian of science. Her previous books include Thomas Harriot: A Life in Science, which she and I discussed in a conversation that was published on April 30, 2019. Her latest book is Vector: A Surprising Story of Space, Time, and Mathematical Transformation. For show notes, resources, and our archive, go the Historically Thinking Substack ChaptersThomas Harriet and the Birth of Modern AlgebraNavigation, Collisions, and Early Vector ConceptsNewton's Definition of Force and DirectionAugustus De Morgan and the Formalization of AlgebraHamilton's Breakthrough: Quaternions and Four DimensionsThe Non-Commutative RevolutionJames Clerk Maxwell and Electromagnetic TheoryMaxwell's Equations and the Nature of LightThe Vector Wars: Quaternions vs. VectorsTensors: Beyond Vectors to General RelativityThe Playful Seriousness of Mathematical DiscoveryConclusion: The Journey into History of Mathematics

What is the true structure of reality? In his fourth appearance on Mind-Body Solution, cognitive scientist Donald Hoffman returns with the most significant update yet to Conscious Realism: trace logic, decorated permutations, the emergence of spacetime from networks of conscious agents, and the strongest mathematical progress so far toward deriving Minkowski space from consciousness itself. Across nearly three hours, we explore what has changed in Hoffman's thinking since our last dialogue two years ago: breakthroughs in the trace-order formalism, new clarifications on evolution and perception, deeper implications for identity and suffering, and the surprising philosophical consequences of consciousness being fundamental. This is Hoffman at his most refined - technically rigorous, personally honest, and metaphysically bold.TIMESTAMPS:(00:00) — Intro(03:12) — What has changed in Hoffman's thinking in the last two years? (07:45) — Why Spacetime Is Doomed: The 2026 Case(12:58) — Conscious Agents: What's Changed in the New Theory(18:30) — Traces of Consciousness (2026): Don's Biggest Breakthrough Yet(25:44) — Restricted Channels of Consciousness (RCCs)(32:02) — The Mathematics of Trace Order & Trace Logic(38:55) — Is Reality Built from Relations, Not Things?(45:40) — What the Spacetime Headset Really Is(52:18) — Scattering Amplitudes & the Illusion of Objects(59:50) — Why Evolution Hides the Truth (Updated Evidence)(1:07:14) — Perception as a User Interface, Not a Window on Reality(1:14:32) — Are Particles Just Icons? The Physics Implications(1:22:10) — Causality, Emergence, Time & the √n Structure of Trace Chains(1:29:48) — Can We Test Conscious Realism in the Lab?(1:37:05) — AI, Conscious Agents & Synthetic Phenomena(1:45:22) — Conscious Realism vs Idealism, Physicalism & Competing Frameworks(1:53:44) — The Meaning Question: Why Is There Something It's Like?(2:02:58) — What This Theory Says About Death & Identity(2:10:00) – Identity, the Avatar, Death, Suffering & the “Infinite Self” (2:30:00) – Meditation & Waking Up from the Headset (2:40:00) – The New Paper Timeline & Call for Collaborators (2:48:00) – Closing reflectionsEPISODE LINKS:- Donald's Website: https://www.cogsci.uci.edu/~ddhoff/- Donald's Books: https://tinyurl.com/5x7bmzbd- Donald's Publications: https://tinyurl.com/bp7btw9a- Donald's Round 1: https://youtu.be/M5Hz1giUUT8- Donald's Round 2: https://youtu.be/Toq9YLl49KM- Donald's Round 3: https://youtu.be/QRa8r5xOaAA- Donald's Lecture 1: https://youtu.be/r_UFm8GbSvU- Donald's Lecture 2: https://youtu.be/YBmzqNIlbcICONNECT:- Website: https://mindbodysolution.org - YouTube: https://youtube.com/@MindBodySolution- Podcast: https://creators.spotify.com/pod/show/mindbodysolution- Twitter: https://twitter.com/drtevinnaidu- Facebook: https://facebook.com/drtevinnaidu - Instagram: https://instagram.com/drtevinnaidu- LinkedIn: https://linkedin.com/in/drtevinnaidu- Website: https://tevinnaidu.com=============================Disclaimer: The information provided on this channel is for educational purposes only. The content is shared in the spirit of open discourse and does not constitute, nor does it substitute, professional or medical advice. We do not accept any liability for any loss or damage incurred from you acting or not acting as a result of listening/watching any of our contents. You acknowledge that you use the information provided at your own risk. Listeners/viewers are advised to conduct their own research and consult with their own experts in the respective fields.

In this episode of Room to Grow, Curtis and Joanie reconsider the balance of conceptual understanding and procedural fluency in math instruction. Although this topic has been discussed before, our hosts acknowledge that there is great nuance and many considerations in considering these two ideas in the teaching and learning of mathematics.Curtis and Joanie discuss how inquiry-based, discovery-style learning opportunities are more open ended, are student centered, and are less teacher directed. They support these types of lessons in math instruction while recognizing that there are times when an explicit approach where teachers are sharing important information also has a place. Additionally, our hosts consider that teaching procedures and algorithms also provides and opportunity to cultivate conceptual understanding. When teachers help student find the  conceptual understanding within the procedures, they engage in mathematical reasoning. This type of reasoning through concepts and procedures contributes to a broader and more robust understanding of meaningful mathematics. Additional referenced content includes:·       NCTM article From Rules That Expire to Deeper Mathematical Thinking. Mathematics Teacher: Learning & Teaching PK-12 Volume 118 Issue 4. April 2025. (Membership required).·       NCTM article Teaching Is a Journey: From Rules That Expire to a Journey Aspired. Mathematics Teacher: Learning & Teaching PK-12 Volume 118 Issue 4. April 2025. (Membership required).·       Robert Kaplinski's website and Open Middle websiteDid you enjoy this episode of Room to Grow? Please leave a review and share the episode with others. Share your feedback, comments, and suggestions for future episode topics by emailing roomtogrowmath@gmail.com . Be sure to connect with your hosts on X and Instagram: @JoanieFun and @cbmathguy. 

One on One Video Call W/George https://tidycal.com/georgepmonty/60-minute-meetingSupport the show:https://www.paypal.me/Truelifepodcast?locale.x=en_USThe Lila Code: https://orcid.org/0009-0008-4612-3942

Machine learning using neural networks has led to a remarkable leap forward in artificial intelligence, and the technological and social ramifications have been discussed at great length. To understand the origin and nature of this progress, it is useful to dig at least a little bit into the mathematical and algorithmic structures underlying these techniques. Anil Ananthaswamy takes up this challenge in his book Why Machines Learn: The Elegant Math Behind Modern AI. In this conversation we give a brief overview of some of the basic ideas, including the curse of dimensionality, backpropagation, transformer architectures, and more.Blog post with transcript: https://www.preposterousuniverse.com/podcast/2025/11/24/336-anil-ananthaswamy-on-the-mathematics-of-neural-nets-and-ai/Support Mindscape on Patreon.Anil Ananthaswamy received a Masters degree in electrical engineering from the University of Washington, Seattle. He is currently a freelance science writer and feature editor for PNAS Front Matter. He was formerly the deputy news editor for New Scientist, a Knight Science Journalism Fellow at MIT, and journalist-in-residence at the Simon Institute for the Theory of Computing, University of California, Berkeley. He organizes an annual science journalism workshop at the National Centre for Biological Sciences at Bengaluru, India.Web siteAmazon author pageWikipediaSee Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.

Bob revisits capital and interest theory to show why the textbook result “interest = MPK” only holds in a one-good world, and why in actual markets the interest rate emerges from time, prices, and capital valuation—not raw productivity.Bob and Alberto Bisin Discuss the Use of Mathematics in Economics: Mises.org/HAP527aBob's Dissertation, "Unanticipated Intertemporal Change in Theories of Interest": Mises.org/HAP527bThe Mises Institute is giving away 100,000 copies of Hayek for the 21st Century. Get your free copy at Mises.org/HAPodFree

Bob revisits capital and interest theory to show why the textbook result “interest = MPK” only holds in a one-good world, and why in actual markets the interest rate emerges from time, prices, and capital valuation—not raw productivity.Bob and Alberto Bisin Discuss the Use of Mathematics in Economics: Mises.org/HAP527aBob's Dissertation, "Unanticipated Intertemporal Change in Theories of Interest": Mises.org/HAP527bThe Mises Institute is giving away 100,000 copies of Hayek for the 21st Century. Get your free copy at Mises.org/HAPodFree

Episode: 1475 The tragic tale of Evariste Galois.  Today, let's tell the remarkable tale of Evariste Galois.

The Space Show Presents KATHRYN BOLISH, WEX Foundation, Friday, 11-21-25Brief Summary:The program focused on discussing the WEX Foundation's educational programs, particularly their space STEM initiatives for K-12 students through their LCATS program, which provides free education and mentorship in space-related topics. The discussion covered the foundation's approach to teaching mathematics and programming, as well as their collaboration with NASA and other aerospace companies to develop student projects and curriculum. The conversation concluded with an exploration of the program's impact on student engagement and academic performance, while addressing challenges related to the COVID pandemic, funding, and policy issues in public education.Detailed Summary:David, John Jossy, and Kathryn Bolish, our guest from the WEX Foundation, discussed the WEX Foundation, its projects, and its namesake, Judge Waldo Jimenez. Kathryn explained the power outages at her office causing WIFI issues for this broadcast. We lost audio and video with our guest a few times during the program but were fortunate that we were able to reconnect with a minor delay. We do apologize for the audio/video issues during this discussion.Kathryn discussed her passion for mathematics and her plans to pursue a PhD at UTSA. John Jossy and I welcomed Dr. Ajay Kothari to the meeting and others as they joined us. I provided a formal introduction for Kathryn Bolish, a mathematician pursuing a PhD, who discussed her passion for mathematics and its applications in space travel. They explored the disconnect between theoretical and numerical mathematics in education, with Kathryn highlighting the importance of teaching math theory and logic from an early age to improve understanding and reduce remedial needs. Before commencing with the full program, I announced upcoming guests and program changes, including a fundraising campaign after Thanksgiving which is essential for supporting The Space Show for 2026.Kathryn discussed the importance of teaching propositional logic and set theory to students early on to help them understand math as a tool rather than a monster. She explained how WEX Foundation provides free space STEM education to K-12 students, focusing on lunar exploration. The program, called LCATS, accepts 30-40 students annually for a three-year commitment, meeting bi-weekly Saturdays at San Antonio area universities. Kathryn emphasized the need for teachers to understand basic programming and math theory to effectively teach these subjects. The discussion also touched on the challenges of AI in education, with Kathryn advocating for using AI as a tool for learning rather than for cheating. David inquired about the program's impact on students' general academic performance, including students not in a WEX program but in the class with a WEX student. Kathryn replied that it has led to increased interest and engagement in STEM subjects among participating students.Kathryn explained that the WEX Foundation's LCATS program, which was piloted by NASA in 2017, faced challenges due to the COVID-19 pandemic and staff changes in 2020. She emphasized the importance of ensuring that the program's content remains relevant to the space industry and highlighted the need to find suitable locations and teachers willing to conduct classes on Saturdays. Kathryn also discussed the foundation's approach to connecting young students with space industry experts, noting that while the experts may initially seem intimidating, the students often view their feedback as valuable learning opportunities. She mentioned that the foundation plans to finalize a comprehensive LCATS curriculum by May 2026, which will then be used to expand the program to other regions.Kathryn discussed the benefits of exposing students to industry challenges, noting that while some SMEs may be harsh, the experience helps build student confidence. She shared an example of a student project that led to a 3D printer prototype for lunar construction, now displayed at a museum. David raised concerns about magical thinking among graduate students and asked how Kathryn addresses it with young minds, to which she responded that embracing the “magic” of unknown possibilities is crucial for innovation, drawing parallels to historical achievements like the moon landing.The meeting discussed the NASA-funded New Worlds program, which trains pre-service educators in lunar habitat design. Kathryn explained that the program teaches students about lunar lava tubes and challenges them to design habitat systems. Ajay raised concerns about landing on the lunar surface, suggesting that the program could help address this issue by developing solutions for landing on uneven terrain. Marshall inquired about the transition from Earth-based biospheres to lunar habitats, and Kathryn mentioned that the program partners with experts in this field to provide students with relevant constraints and knowledge. The conversation ended with a reminder that the show had a strict 60-minute time limit.Kathryn explained that her parent company, Astroport, evaluates student proposals for space-related projects by assessing their feasibility for terrestrial demonstrations before advancing to lunar applications. She noted that while Astroport works with major aerospace companies like Boeing and SpaceX, WEX focuses on space STEM education and collaborates with these organizations through mentorship and partnerships. Kathryn also mentioned that WEX operates from the same building as Astroport and occasionally hosts engineers to help students brainstorm solutions for their projects, while acknowledging the challenges of addressing policy and regulation issues in their curriculum.Kathryn explained that WEX Foundation's space education programs are structured to be self-sustaining and low-cost, allowing them to continue operations despite NASA's education budget cuts. She clarified that while students can propose their own ideas for lunar projects, the program focuses on teaching established concepts like lava tube habitation and letting students develop their own solutions. The discussion concluded with Ajay offering to share a paper about space exploration with Kathryn, who expressed gratitude for the collaborative spirit among the participants.This program featured a discussion with Kathryn from the WEX Foundation, who shared insights about her math-focused educational programs in San Antonio. She explained how her mathematical background supports her work in program management and curriculum development, despite not directly using advanced math in her current role. The conversation highlighted the diversity of her student cohorts and the collaborative nature of her programs, which bring together students of different ages and backgrounds. The discussion concluded with questions about the demographics of her students and plans for program expansion, as well as a brief conversation about the challenges of public education and the role of money in society.Special thanks to our sponsors:Northrup Grumman, American Institute of Aeronautics and Astronautics, Helix Space in Luxembourg, Celestis Memorial Spaceflights, Astrox Corporation, Dr. Haym Benaroya of Rutgers University, The Space Settlement Progress Blog by John Jossy, The Atlantis Project, and Artless EntertainmentOur Toll Free Line for Live Broadcasts: 1-866-687-7223 (Not in service at this time)For real time program participation, email Dr. Space at: drspace@thespaceshow.com for instructions and access.The Space Show is a non-profit 501C3 through its parent, One Giant Leap Foundation, Inc. To donate via Pay Pal, use:To donate with Zelle, use the email address: david@onegiantleapfoundation.org.If you prefer donating with a check, please make the check payable to One Giant Leap Foundation and mail to:One Giant Leap Foundation, 11035 Lavender Hill Drive Ste. 160-306 Las Vegas, NV 89135Upcoming Programs:Broadcast 4466: ZOOM: Dr. Avi Loeb | Sunday 23 Nov 2025 1200PM PTGuests: Dr. Abraham (Avi) LoebZOOM: Dr. Avi Loeb returns to discuss our latest interstellar visitor and more. Get full access to The Space Show-One Giant Leap Foundation at doctorspace.substack.com/subscribe

Thomas Morel joins Jana Byars to tell the story of subterranean geometry, a forgotten discipline that developed in the silver mines of early modern Europe, talking about his book Underground Mathematics: Craft Culture and Knowledge Production in Early Modern Europe (Cambridge UP, 2022). Mining and metallurgy were of great significance to the rulers of early modern Europe, required for the silver bullion that fuelled warfare and numerous other uses. Through seven lively case studies, he illustrates how geometry was used in metallic mines by practitioners using esoteric manuscripts. He describes how an original culture of accuracy and measurement paved the way for technical and scientific innovations, and fruitfully brought together the world of artisans, scholars and courts. Based on a variety of original manuscripts, maps and archive material, Morel recounts how knowledge was crafted and circulated among practitioners in the Holy Roman Empire and beyond. Specific chapters deal with the material culture of surveying, map-making, expertise and the political uses of quantification. By carefully reconstructing the religious, economic and cultural context of mining cities, Underground Mathematics contextualizes the rise of numbered information, practical mathematics and quantification in the early modern period. Learn more about your ad choices. Visit megaphone.fm/adchoices Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/new-books-network

Get the book, Leading Educator Wellness: Six Critical Actions to Support All Staff About The Authors Bill Barnes is the superintendent of the Howard County Public School System in Maryland. He has served in leadership roles with the Maryland and National Council of Teachers of Mathematics, and has won a number of state and national teaching awards. Barnes holds a master of science in mathematics and science education from Johns Hopkins University, and has served as an adjunct professor for Johns Hopkins University, the University of Maryland–Baltimore County, McDaniel College, and Towson University.   Dr. Erin Lehmann is an associate professor for the University of South Dakota. She has experience as an elementary principal at a Title I school, as well as being a math teacher, math coach, and curriculum specialist. Dr. Lehmann is the author or co-author of several books, including Teaching Mathematics Today. She is a frequent speaker at national conferences, advocating for mathematics and grading practices. She holds EdD in educational leadership from the University of South Dakota.

Thomas Morel joins Jana Byars to tell the story of subterranean geometry, a forgotten discipline that developed in the silver mines of early modern Europe, talking about his book Underground Mathematics: Craft Culture and Knowledge Production in Early Modern Europe (Cambridge UP, 2022). Mining and metallurgy were of great significance to the rulers of early modern Europe, required for the silver bullion that fuelled warfare and numerous other uses. Through seven lively case studies, he illustrates how geometry was used in metallic mines by practitioners using esoteric manuscripts. He describes how an original culture of accuracy and measurement paved the way for technical and scientific innovations, and fruitfully brought together the world of artisans, scholars and courts. Based on a variety of original manuscripts, maps and archive material, Morel recounts how knowledge was crafted and circulated among practitioners in the Holy Roman Empire and beyond. Specific chapters deal with the material culture of surveying, map-making, expertise and the political uses of quantification. By carefully reconstructing the religious, economic and cultural context of mining cities, Underground Mathematics contextualizes the rise of numbered information, practical mathematics and quantification in the early modern period. Learn more about your ad choices. Visit megaphone.fm/adchoices

Thomas Morel joins Jana Byars to tell the story of subterranean geometry, a forgotten discipline that developed in the silver mines of early modern Europe, talking about his book Underground Mathematics: Craft Culture and Knowledge Production in Early Modern Europe (Cambridge UP, 2022). Mining and metallurgy were of great significance to the rulers of early modern Europe, required for the silver bullion that fuelled warfare and numerous other uses. Through seven lively case studies, he illustrates how geometry was used in metallic mines by practitioners using esoteric manuscripts. He describes how an original culture of accuracy and measurement paved the way for technical and scientific innovations, and fruitfully brought together the world of artisans, scholars and courts. Based on a variety of original manuscripts, maps and archive material, Morel recounts how knowledge was crafted and circulated among practitioners in the Holy Roman Empire and beyond. Specific chapters deal with the material culture of surveying, map-making, expertise and the political uses of quantification. By carefully reconstructing the religious, economic and cultural context of mining cities, Underground Mathematics contextualizes the rise of numbered information, practical mathematics and quantification in the early modern period. Learn more about your ad choices. Visit megaphone.fm/adchoices

Thomas Morel joins Jana Byars to tell the story of subterranean geometry, a forgotten discipline that developed in the silver mines of early modern Europe, talking about his book Underground Mathematics: Craft Culture and Knowledge Production in Early Modern Europe (Cambridge UP, 2022). Mining and metallurgy were of great significance to the rulers of early modern Europe, required for the silver bullion that fuelled warfare and numerous other uses. Through seven lively case studies, he illustrates how geometry was used in metallic mines by practitioners using esoteric manuscripts. He describes how an original culture of accuracy and measurement paved the way for technical and scientific innovations, and fruitfully brought together the world of artisans, scholars and courts. Based on a variety of original manuscripts, maps and archive material, Morel recounts how knowledge was crafted and circulated among practitioners in the Holy Roman Empire and beyond. Specific chapters deal with the material culture of surveying, map-making, expertise and the political uses of quantification. By carefully reconstructing the religious, economic and cultural context of mining cities, Underground Mathematics contextualizes the rise of numbered information, practical mathematics and quantification in the early modern period.

After 27 years, Melvyn Bragg has decided to step down from the In Our Time presenter's chair. With over a thousand episodes to choose from, he has selected just six that capture the huge range and depth of the subjects he and his experts have tackled. In this third of his choices, we hear Melvyn Bragg and his guests discuss Greek philosophy. Their topic is Zeno of Elea, a pre-Socratic philosopher from c490-430 BC whose paradoxes were described by Bertrand Russell as "immeasurably subtle and profound." The best known argue against motion, such as that of an arrow in flight which is at a series of different points but moving at none of them, or that of Achilles who, despite being the faster runner, will never catch up with a tortoise with a head start. Aristotle and Aquinas engaged with these, as did Russell, yet it is still debatable whether Zeno's Paradoxes have been resolved. With Marcus du Sautoy Professor of Mathematics and Simonyi Professor for the Public Understanding of Science at the University of Oxford Barbara Sattler Lecturer in Philosophy at the University of St Andrews and James Warren Reader in Ancient Philosophy at the University of Cambridge Producer: Simon Tillotson In Our Time is a BBC Studios Production Spanning history, religion, culture, science and philosophy, In Our Time from BBC Radio 4 is essential listening for the intellectually curious. In each episode, host Melvyn Bragg and expert guests explore the characters, events and discoveries that have shaped our world

I Imagine if your doctor had a digital model of your heart, personalised to you and updated with your latest medical information. This isn't science fiction – this revolutionary healthcare is being tested now. In this podcast we speak to Steven Niederer, who leads the CVDNet project developing and testing these ideas, and his colleague Richard Wilkinson, from the University of Nottingham. Richard is one of the organisers of the long research programme, Representing, calibrating & leveraging prediction uncertainty from statistics to machine learning (RCL), held earlier this year at the Isaac Newton Institute for the Mathematical Sciences (INI). We first spoke to Steven back in 2019 when he helped organise the Fickle Heart programme at the INI. In this podcast, Richard and Steven tell us about digital twins, digital hearts, and how the RCL programme and CVDNet build on the work started back in 2019 with the Fickle Heart programme. You can find out more about some of the ideas discussed in this podcast in these short introductions: Maths in a Minute: Mathematical models Maths in a Minute: Differential equations Maths in Minute: Machine learning This content was produced as part of our collaborations with the Isaac Newton Institute for Mathematical Sciences (INI) and the Newton Gateway to Mathematics. The INI is an international research centre and our neighbour here on the University of Cambridge's maths campus. The Newton Gateway is the impact initiative of the INI, which engages with users of mathematics. You can find all the content from the collaboration here.

When the Sahara was green, humans thrived across North Africa. Then everything changed.A sudden climate shift turned the region into a desert — triggering one of the greatest migrations in human history… and possibly the genetic bottleneck that wiped out up to 90% of all men across the planet. In this episode, researcher Michael Buttonbreaks down:·       What the Green Sahara actually looked like·       The climatic collapse that forced mass migration·       How population models show a near-complete wipeout of male lineages·       Why Europe, the Middle East, and Africa all show the same sudden genetic reset·       Whether war, scarcity, or social restructuring caused the male die-off·       How this single moment reshaped global ancestry, culture, and civilization·       What this means for human origins — and what history books still get wrong This might be the most important ancient-humanity story never told.  Follow Matt Beall Limitless: https://x.com/MattbLimitlesshttps://x.com/MBeallX https://www.tiktok.com/@mblimitless https://www.instagram.com/mattbealllimitless/ https://www.facebook.com/people/Matt-Beall-Limitless/61556879741320/ Check out our Shorts & ClipsClip Channel: https://www.youtube.com/@MBLimitlessClipsShorts Channel: https://www.youtube.com/@MBLimitlessShorts Listen Everywhere: YouTube: https://www.youtube.com/@MattBeallLimitlessApple:https://podcasts.apple.com/us/podcast/matt-beall-limitless/id1712917413  Rumble: https://rumble.com/c/c-6727221 Patreon: https://www.patreon.com/c/MattBeallLimitless   Check out Michael Button:https://www.youtube.com/@MichaelButton1https://x.com/MichaelButtonXhttps://www.instagram.com/michaelbuttonx/  Timeline:00:00:00 - Introductions00:05:18 - Life in the Academic Sector?00:12:08 - What has the backlash been like?00:18:02 - How far back do humans go?00:27:17 - Best Evidence for Lost Civilizations00:45:16 - Ancient Seafaring00:59:13 - Humans in the Americas01:04:35 - Denisovans01:11:33 - UAP & UFO's01:16:37 - Mars01:27:00 – 90% of Men Killed in a War01:37:54 - Hawara01:52:27 - Egypt01:59:41 - Mathematics in Ancient CIV02:06:09 - Interesting Finds UK02:11:59 - Human History Timeline02:14:46 - Mushrooms02:19:51 – Consciousness02:26:05 – Closing #GreenSahara #SaharaExodus #HumanOrigins #AncientHistory#MichaelButton #LimitlessPodcast #GeneticBottleneck #ClimateChangeHistory#Prehistory #MigrationPatterns #LostCivilizations #Anthropology The views and opinions expressed on this podcast are notnecessarily the views of the host or of any business related to the host.

From Rakim to Kendrick Lamar, this is the story of hip-hop's obsession with numbers. Dissect's Cole Cuchna breaks down the evolution of “number bars” - a lyrical tradition where rappers use math, numeric sequences, and wordplay to showcase technical skill and encode hidden meaning. Beginning with Rakim's groundbreaking verse on “My Melody” (1986) - a quatrain built around groups of seven that secretly mirrors his own 21-letter name - we trace how MCs have used numbers as both a mathematical signature and a symbolic device for decades. From Melle Mel's divine 7-count in “Superrappin” to Jay-Z's “22 Twos”, Biggie's “Ten Crack Commandments,” and Mos Def's “Mathematics,” numbers became an essential part of hip hop tradition and lyricism. By the 2000s, artists like Lupe Fiasco, J. Cole, JID, Vince Staples, and Kendrick Lamar transformed number schemes into complex storytelling tools. We unpack everything from Lupe's hidden 3–2–1 countdown on Kanye West's “Touch the Sky” to Kendrick's quantum-level equations on “Nosetalgia.” Learn more about your ad choices. Visit podcastchoices.com/adchoices

What happens when a government abruptly cuts off the lifeline of pure science? Imagine canceling Albert Einstein just before he published [E = mc². Terence Tao, the “Mozart of Mathematics,” was one of the unlucky researchers hit when the Trump administration suddenly terminated his federal research funding. Today, I walk and talk with Tao at UCLA to understand how America's greatest living mathematician found himself blindsided by a bureaucratic earthquake — and what it means for the future of discovery. This is Part 1 of our deep dive into Tao's work, his warnings about the collapse of U.S. research infrastructure, and why mathematics is the unseen root system supporting all of modern technology.

It's YOUR time to #EdUpIn this episode, President Series #423, powered by ⁠⁠⁠Ellucian⁠⁠⁠, & sponsored by the 2026 InsightsEDU Conference in Fort Lauderdale, Florida, February 17-19,YOUR guest is Dr. Montse Fuentes, President, Professor of Mathematics, St. Edward's UniversityYOUR co-host is Gregory Clayton, President, EducationDynamicsYOUR host is ⁠⁠Elvin Freytes⁠⁠⁠⁠⁠⁠⁠⁠How does a university ranked #2 in the West for undergraduate teaching serve students where 50% are Pell recipients & over half are 1st generation while achieving 100% internship access?Why did a new school of health sciences launched during the pandemic become the #1 major in nursing in just 1 year through data driven decisions & strategic partnerships?How does St. Edward's integrate AI training while emphasizing the ethical judgment & empathy that AI cannot replace to keep graduates relevant in an evolving workforce?Listen in to #EdUpThank YOU so much for tuning in. Join us on the next episode for YOUR time to EdUp!Connect with YOUR EdUp Team - ⁠⁠⁠⁠⁠ ⁠⁠⁠⁠Elvin Freytes⁠⁠⁠⁠⁠⁠⁠⁠⁠ & ⁠⁠⁠⁠⁠⁠⁠⁠⁠ Dr. Joe Sallustio⁠⁠⁠⁠● Join YOUR EdUp community at The EdUp ExperienceWe make education YOUR business!P.S. Want to get early, ad-free access & exclusive leadership content to help support the show? Then ⁠​subscribe today​⁠ to lock in YOUR $5.99/m lifetime supporters rate! This offer ends December 31, 2025!

Episode: 1472 New uses for huge numbers.  Today, big numbers find new meaning.

"There is one and only one business. Everybody's in the exact same business. And that unique business is the manufacturing and delivery of delight." Philippe Bouissou Top Five Tips To Grow Your Business1.  Aligning the pain of your customer with your business's claim2.  Align your message with customer perception 3.  Make buying frictionless 4.  Expected Delight and Offering (what the business delivers) 5.  Internal team alignment TIME STAMP SUMMARY01:30  Growth is the only way to create sustainable shareholder value.03:51   Difference is crucial for standing out in a competitive market.12:10   Clear expectations and ensure they are met or exceeded to maintain customer satisfaction.17:10   Internal alignment for external success Where to find Philippe?Website                         https://philippebouissou.com/ LinkedIn                        https://www.linkedin.com/in/phbouissou  Philippe Bouissou Bio Dr. Philippe Bouissou is a name that resonates through the heart of Silicon Valley. For over three decades, he has danced on the cutting edge, donning the hats of an entrepreneur, a CEO, and venture capitalist. Philippe has served on the boards of 23 companies. He is a growth expert and bestselling author of Aligning the Dots. He pioneered a revolutionary methodology called A4 Precision Alignment™ that's lighting the fires of faster, sustainable revenue growth across the business world. It is brilliantly illuminated in his landmark TED talk, The Secret to Grow Any Business, that received over one million views.Philippe's groundbreaking work and innovative concept of market alignment is encapsulated in Blue Dots Partners, LLC, the firm he founded in 2014 in Palo Alto, California. Philippe and his team of highly accomplished CEOs and business builders diligently apply the Blue Dots data-driven analytical methodology to advise CEOs on how to grow their business and soar above their competitors across many industries. Philippe's groundbreaking work has earned him a spot on the cover of The Top 100 Innovators and Entrepreneurs magazine in 2024.Philippe's storied career includes launching and scaling Apple's eCommerce business from zero to $350 million, under Steve Jobs. He steered over 240 management consulting projects. As a venture capitalist, he invested $44 million generating double-digit cash-on-cash returns. With an illustrious background that boasts a BS in Mathematics, an MS in Physics, and a PhD in non-linear physics and chaos theory from the prestigious École Normale Supérieure in Paris, Philippe brings a scientific precision to the business world

This week on Schauer Thoughts we have a special guest - please give a warm welcome to Mina Neuberg, CEO of WonderMath! Also, this episode is NOT an ad, I am not being paid, I just really love math and wanted to discuss learning and executive functioning with the executive putting the “fun” in functional learning. No but seriously, math is incredibly important and I appreciate y'all listening and *hopefully* expanding the communal comfort zone! Learn More About WonderMath: https://www.wondermath.com/  Where to Reach Mina: mina@wondermath.com  New Book Club Information: https://www.patreon.com/posts/new-book-for-143088045  Resources: What We Value: The Neuroscience of Choice & Change - Emily Falk The Power of Fun - Catherine Price Mathematics for Human Flourishing - Francis Su Is Math Real? - Eugenia Cheng  The Knowledge Illusion: Why We Never Think Alone - Philip Fernbach  Neural correlates of hate https://pubmed.ncbi.nlm.nih.gov/18958169/ What Is Hate and Where Does It Live in the Brain? https://www.psychologytoday.com/us/blog/your-brain-on-food/202208/what-is-hate-and-where-does-it-live-in-the-brain The premotor cortex https://www.physio-pedia.com/Premotor_Cortex#:~:text=The%20premotor%20cortex%20is%20a,of%20the%20contralateral%20hemisphere%20alone. Behavioral energetics in human locomotion: how energy use influences how we move https://pmc.ncbi.nlm.nih.gov/articles/PMC11993254/  Demonstration and Pantomime in the Evolution of Teaching https://pmc.ncbi.nlm.nih.gov/articles/PMC5361109/ Total Physical Response (TPR) - Teaching Method https://www.researchgate.net/publication/392376539_Total_Physical_Response_TPR Screen Apnea  https://www.npr.org/2024/06/10/1247296780/screen-apnea-why-screens-cause-shallow-breathing  Olfactory Enrichment to Improve Memory https://pmc.ncbi.nlm.nih.gov/articles/PMC10405466/ What the Thalamus Does https://teachersinstitute.yale.edu/curriculum/units/2012/3/12.03.02/4#:~:text=In%20this%20way%2C%20the%20thalamus%20is%20screening,matters%20of%20value%20and%20filtering%20out%20distractions.  This is How the Brain Filters Out Unimportant Details https://www.psychologytoday.com/us/blog/brain-babble/201502/is-how-the-brain-filters-out-unimportant-details#:~:text=This%20%E2%80%9Creciprocal%E2%80%9D%20connectivity%20can%20be,popcorn%2C%20and%20air%20conditioning). Movement-Based Learning: Students Need to Use Their Bodies to Learn  https://www.teachhub.com/teaching-strategies/2025/03/movement-based-learning-students-need-to-use-their-bodies-to-learn/  Math Has Its Own Language. How Can Students Learn to Speak It? https://www.edweek.org/teaching-learning/math-has-its-own-language-how-can-students-learn-to-speak-it/2024/09 Conceived linearities in mathematics education and how to disrupt them https://www.tandfonline.com/doi/full/10.1080/14794802.2025.2579307?src=#d1e125 How Did You Solve It? Metacognition in Mathematics  https://www.ascd.org/el/articles/how-did-you-solve-it-metacognition-in-mathematics Writing Problems in Possessive Form https://www.ef.edu/english-resources/english-grammar/forming-possessive/ Learn more about your ad choices. Visit podcastchoices.com/adchoices

The Farthest Reaches is a book about "Explanatory Universality". Explanatory Universality is a concept introduced by physicist and philosopher David Deutsch in his book "The Beginning of Infinity". Links, as mentioned in the audiobook can be found in the ebook available for free here: https://www.bretthall.org/the-farthest-reaches.html This present work follows the logic of that concept as it applies to education, psychology, morality, immigration, the trans issue, "evolutionary psychology" and the significance of people to physical reality and much more. This version is significantly longer and with superior audio production compared with the original podcast of the same name. These are the chapters and timestamps: 00:00 Preface 21:51 Chapter 1 - Universality and Reach 29:38 Chapter 2 - The Reach of Explanatory Universality 38:53 Chapter 3 - Explaining Explanatory Universality 47:31 Chapter 4 - Explanatory Universality and Education 1:00:27 Chapter 5 - Explanatory Universality, Psychological Science and IQ 1:03:41 Chapter 6 - Explanatory Universality and Adopting Culture 1:10:26 Chapter 7 - Explanatory Universality and IQ Part 2 1:14:58 Chapter 8 - Explanatory Universality and the “Trans Issue” 1:22:57 Chapter 9 - Explanatory Universality and Immigration 1:48:12 Chapter 10 - Explanatory Universality and Ethnicity 2:11:39 Chapter 11 - Explanatory Universality and Multiculturalism 2:23:22 Chapter 12 - Explanatory Universality and Mental Illness 2:32:35 Chapter 13 - Explanatory Universality, Hangups and Sexuality 2:41:26 Chapter 14 - Explanatory Universality and The Woke Left and The Woke Right 2:48:29 Chapter 15 - Explanatory Universality and Optimism 2:58:20 Chapter 16 - Explanatory Universality and Artificial Intelligences 3:09:59 Chapter 17 - Universality, Freedom of Speech and Freedom of Reach 3:17:07 Chapter 18 - Explanatory Universality and Evolutionary Psychology 3:31:20 Chapter 19 - Explanatory Universality and Individuality 3:39:05 Chapter 20 - Summary and Conclusions 4:08:18 Acknowledgements and Afterward   The author thanks David Deutsch ( ⁨@DavidDeutschPhysicist⁩  ) Naval Ravikant ( ⁨@NavalR⁩  ) Reid Nicewonder ( ⁨@CordialCuriosity⁩ ) and Peter Boghossian ( ⁨@drpeterboghossian⁩ ) for their crucial support and engagement. And to all other supporters who have contributed to the ongoing viability of ToKCast and my other content output. Brett Hall is a technical advisor and content creator, Ambassador to Conjecture Institute ( ⁨@ConjectureInstitute⁩ ) and Board Member of the National Progress Alliance (www.nationalprogressalliance.org) and holds undergraduate qualifications from: The University of New South Wales )in Physics and the Philosophy of Science) The University of Western Sydney (in Science and Mathematics Teaching) and Postgraduate Qualifications from Swinburne University, Melbourne (in Astronomy and Astrophysics). Macquarie University (in the Teaching of English Language) The Australian Catholic University (in Mathematics) and a partially completed post graduate certificate in Geology and Geophysics from Macquarie University. He lives in Sydney, Australia.

In this episode of "Dance Talk” ® with Joanne Carey , host Joanne Carey interviews choreographer, Jeevika BhatIn this episode of "Dance Talk” ® host Joanne Carey interviews Jeevika Bhatt, a choreographer and dancer premiering her work 'Clothesline,' which explores the cultural significance of the sari through dance. Jeevika shares her journey in dance, her experiences moving to New York, and the creative process behind her latest project. The conversation delves into themes of cultural identity, the evolution of traditions, and the impact of modernization on heritage. Jeevika reflects on the questions of home and belonging, and how her work seeks to bridge the gap between her Indian roots and her American upbringing.Jeevika Bhat Jeevika Bhat is a dancer and choreographer who explores the confluence of her cultures through a contemporary Indian medium. Her technical background is in Odissi, an East Indian classical dance form known for its nuanced storytelling and graceful fluidity, which she studies under the guidance of Guru Jyoti Rout. Academically, she is a graduate of UC San Diego, where she earned a BS in Mathematics with minors in Linguistics and Dance, and UC Irvine, where she earned an MFA in Dance. Her upcoming work, Clothesline, which is co-presented by the CUNY Dance Initiative at The City College of New York, is additionally supported by the Lower Manhattan Cultural Council Creative Engagement Grant and the GALLIM Moving Artist Residency.Clothesline is a contemporary Indian dance story, told from the perspective of a sari which is passed down through generations of Indian women. In addition to exploring themes of home, homesickness, and heritage inheritance, this show is largely about laundry, musing about how culture fades with each wash.tinyurl.com/clotheslinetickets“Dance Talk” ® with Joanne Carey "Where the Dance World Connects, the Conversations Inspire, and Where We Are Keeping Them Real."⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠⁠https://dancetalkwithjoannecarey.com/⁠⁠⁠⁠⁠⁠⁠⁠⁠Follow Joanne Carey on Instagram@westfieldschoolofdance

SummaryIn this episode, Shannon Valenzuela and Jake Tawney explore the significance of the quadrivium in education, particularly focusing on mathematics as a bridge between the material and the divine and the ability of mathematics to help students access truth. They discuss the eternal nature of language and mathematics, explore music as number in ratio to itself, and consider the importance of proofs in mathematics. The conversation emphasizes the need for pedagogical approaches that prioritize understanding and wonder over mere proficiency, ultimately arguing that the study of mathematics reveals deeper truths about the universe and God.Topics Covered:A different way of understanding the four arts of the quadriviumMathematics as a bridge between the material world and the eternalThe arts of language and mathematics as foundational to educationMusic and mathematicsProofs in mathematics as a form of rhetoric The power of lessons that present engaging problems that motivate inquiryThe study of mathematics and a unique longing in the human soulSuccess measured as love, not just skill proficiencyToday's Guests:J. Jacob (Jake) Tawney has been enamored by mathematics for as long as he can remember, from kindergarten to calculus. But he truly fell in love with it during his sophomore year at Denison University during a course on mathematical proofs. After completing an undergraduate degree in mathematics and computer science from Denison, he continued his studies at The Ohio State University. There he earned a master's degree in mathematics, submitting a thesis on the mathematics of juggling. During his time in Ohio, Tawney taught at Upper Arlington High School and the Pontifical College Josephinum, including courses in Euclid and the philosophy of mathematics. In 2014 he relocated his family to Phoenix, Arizona, to join Great Hearts Academies, where he currently serves as the chief academic officer. Jake is the proud husband of Christina and the proud father of eight children, all of whom have something unique in their souls that can only be satisfied by wondering about mathematics.Timestamps:00:00 Introduction03:50 The Eternal and the Earthly: Understanding the Significance of Three and Four10:34 Music and Mathematics: The Relationship of Ratios and Intervals14:54 Math's Unique Contribution: Bridging Heaven and Earth24:48 The Importance of Proof: Rhetoric in Mathematics33:09 Bridging Theory and Practice in Mathematics Education39:00 Wonder and Conversation in the Math Classroom45:14 A Different Way to Measure SuccessResources Mentioned in Today's Episode:Another Sort of Mathematics by J. Jacob Tawney at Encounter Books and on AmazonMore on the Quadrivium Retrieval: https://quadriviumretrieval.org/University of Dallas Links:Classical Education Master's Program at the University of Dallas: udallas.edu/classical-edSt. Ambrose Center Professional Development for Teachers and Administrators: https://k12classical.udallas.edu/Support the showSupport the showIf you enjoyed the show, please leave a rating and review — it helps others find us!

"AI can help us get to a destination faster... but it's not without some kind of oversight." - Catherine Holt Cat Holt is a marketing strategist, entrepreneur, and brand builder who has shaped some of the most iconic campaigns in modern advertising, including Progressive Insurance's Dr. Rick campaign. She is the Founder and Chief Brand Officer of Coologee, Inc., where she leads a one-team approach that blends agency expertise with client-side insight to drive measurable business impact. Cat also co-founded Lion + Owl, a kids' apparel brand that combines innovative design with a mission to promote kindness and inclusion. Previously, she held senior leadership roles at Falls & Co., Progressive Insurance, and several top agencies, helping brands evolve, grow, and connect with audiences in meaningful ways. Website: https://coologee.com/ LinkedIn: https://www.linkedin.com/in/catkolodij Instagram: https://www.instagram.com/coologee/# Substack: https://catholtcoologee.substack.com/   Michael Orkin is a professor, consultant, researcher, and author.  His most recent book is "The Story of Chance – Beyond the Margin of Error" (Innovative Ink, 2025).  He has appeared on numerous podcasts and TV shows and has been an invited speaker at many conferences.  Dr. Orkin has a B.A. in Mathematics and a Ph.D. in Statistics from the University of California at Berkeley.  He is currently a mathematics professor at Berkeley City College and Professor of Statistics Emeritus at California State University, East Bay.orm) Website: https://drmikeorkin.com LinkedIn: linkedin.com/in/dr-mike-orkin-5600584 Substack: https://drmikeorkin.substack.com/   In this episode, we explore how data, strategy, and creativity intersect to drive smarter decisions, stronger brands, and meaningful impact. Dr. Orkin and Cat Holt share insights from their respective worlds of statistics and marketing, showing how analysis and storytelling work together to shape success.   Apply to join our marketing mastermind group: https://notypicalmoments.typeform.com/to/hWLDNgjz Follow No Typical Moments at: Website: https://notypicalmoments.com/ LinkedIn: https://www.linkedin.com/company/no-typical-moments-llc/ YouTube: https://www.youtube.com/channel/UC4G7csw9j7zpjdASvpMzqUA Instagram: https://www.instagram.com/notypicalmoments Facebook: https://www.facebook.com/NTMoments

Iggy Ioppe is Chief Investment Officer at Theo, a gateway connecting onchain capital to global markets via institutional-grade trading infrastructure. Previously, Iggy was Co-Head of Polygon Ventures and Managing Partner at Procul Capital, a fintech and Web3-focused venture firm. Earlier, he served as Group Head of Proprietary Investing at Credit Suisse and held investing roles at Sureview Capital, Vinik Asset Management, and Bain Capital. He holds a B.S. in Mathematics from McGill University and an MBA from Harvard Business School. In this conversation, we discuss:- The convergence of TradFi Crypto - High-speed traders are now the smartest folks on Wall Street  - Going beyond issuance - why tokenizing assets is not enough - Current trends in tokenized RWAs - The value of engaging tokenized assets in spot markets - The future of tokenized finance and the path to institutional adoption - Connecting to liquidity venues - HIP-3 exchange denominated in t-bills - Money-market funds - Tokenized gold with yield TheoX: @Theo_NetworkWebsite: theo.xyzLinkedIn: TheoIggy IoppeX: @iggyioppeLinkedIn: Iggy Ioppe---------------------------------------------------------------------------------This episode is brought to you by PrimeXBT.PrimeXBT offers a robust trading system for both beginners and professional traders that demand highly reliable market data and performance. Traders of all experience levels can easily design and customize layouts and widgets to best fit their trading style. PrimeXBT is always offering innovative products and professional trading conditions to all customers.  PrimeXBT is running an exclusive promotion for listeners of the podcast. After making your first deposit, 50% of that first deposit will be credited to your account as a bonus that can be used as additional collateral to open positions. Code: CRYPTONEWS50 This promotion is available for a month after activation. Click the link below: PrimeXBT x CRYPTONEWS50FollowApple PodcastsSpotifyAmazon MusicRSS FeedSee All

"AI can help us get to a destination faster... but it's not without some kind of oversight." - Catherine Holt Cat Holt is a marketing strategist, entrepreneur, and brand builder who has shaped some of the most iconic campaigns in modern advertising, including Progressive Insurance's Dr. Rick campaign. She is the Founder and Chief Brand Officer of Coologee, Inc., where she leads a one-team approach that blends agency expertise with client-side insight to drive measurable business impact. Cat also co-founded Lion + Owl, a kids' apparel brand that combines innovative design with a mission to promote kindness and inclusion. Previously, she held senior leadership roles at Falls & Co., Progressive Insurance, and several top agencies, helping brands evolve, grow, and connect with audiences in meaningful ways. Website: https://coologee.com/ LinkedIn: https://www.linkedin.com/in/catkolodij Instagram: https://www.instagram.com/coologee/# Substack: https://catholtcoologee.substack.com/   Michael Orkin is a professor, consultant, researcher, and author.  His most recent book is "The Story of Chance – Beyond the Margin of Error" (Innovative Ink, 2025).  He has appeared on numerous podcasts and TV shows and has been an invited speaker at many conferences.  Dr. Orkin has a B.A. in Mathematics and a Ph.D. in Statistics from the University of California at Berkeley.  He is currently a mathematics professor at Berkeley City College and Professor of Statistics Emeritus at California State University, East Bay.orm) Website: https://drmikeorkin.com LinkedIn: linkedin.com/in/dr-mike-orkin-5600584 Substack: https://drmikeorkin.substack.com/   In this episode, we explore how data, strategy, and creativity intersect to drive smarter decisions, stronger brands, and meaningful impact. Dr. Orkin and Cat Holt share insights from their respective worlds of statistics and marketing, showing how analysis and storytelling work together to shape success.   Apply to join our marketing mastermind group: https://notypicalmoments.typeform.com/to/hWLDNgjz Follow No Typical Moments at: Website: https://notypicalmoments.com/ LinkedIn: https://www.linkedin.com/company/no-typical-moments-llc/ YouTube: https://www.youtube.com/channel/UC4G7csw9j7zpjdASvpMzqUA Instagram: https://www.instagram.com/notypicalmoments Facebook: https://www.facebook.com/NTMoments

Bob has a delightful discussion with one of his NYU professors on the recent controversy regarding the use of math in economics.Mentioned in the Episode and Other Links of Interest:The YouTube version of this interview.Paul Romer's critique of "mathiness" in the theory of economic growth.Bob's doctoral dissertation, with mathematical appendix showing the problems with assuming the real rate of interest equals the marginal product of capital. (The punchline is equation [4] on page 190.)The link for this episode's sponsor, Monetary Metals.Help support the Bob Murphy Show.

Hal Shurtleff, host of the Camp Constitution Report, interviews Dr. Max Lyons of The Biblical Thinker.  His website and E-mail:  https://thebiblicalthinker.com/   thebiblicalthinker@gmail.comDr. Max Lyons served as teacher and administrator in three Christian schools since 1979. He has served as Principal at the elementary, middle and high school levels, and was the Head Administrator and CFO at StoneBridge School. His last school position was Director of Guidance at Atlantic Shores Christian School.  He has extensive experience in all aspects of Christian School management, including curriculum development, teacher professional development, recruiting and admissions, fundraising, business management, board development, and guidance and counseling. He holds a Bachelor of Arts in Mathematics from Virginia Wesleyan College, a Masters in Christian School Administration from Regent University, and a Ph.D. in Christian Education from Whitefield Theological Seminary. From 2014-25 he served as Director of Teaching Services at the Foundation for American Christian Education and he currently serves FACE as a Coach in the Leading Schools Program. Max is a teacher, coach, curriculum writer, consultant, and conference speaker, specializing in the areas of Bible, history, government, economics, and Biblical worldview. He has taught a FACE Principled Studies Group (Biblical worldview Sunday school class) for over three decades.His nine publications include the Student Worldview Dictionary, Celebrate our Christian Holidays Like You Were There, Government Takes All…What's Left for Me?, Sons and Daughters Walking in the Truth, How to Establish a Christian School to Restore the Republic, The Seven Pillars of Liberty, Free Men and Free Markets, The Principle Approach to Teaching Bible  and The High School Student's Complete Guide to College Planning. He and his wife Margie co-authored an upper elementary Bible curriculum entitled Thinking and Acting Like Jesus. He is co-author of Odyssey of Faith, a children's book and Virginia history curriculum. He has several books published in Portuguese that are used by a network of Principle Approach schools in Brazil. Government Takes All…What's Left for Me? and Free Men and Free Markets are published in Spanish.Max currently serves as President of The Biblical Thinker, and In his spare time Max writes and produces publications with Margie and Rachel, enjoys outdoor activities including pickleball, and remodels properties owned by his children and family.Max and Margie have four children and eight grandchildren, and they attend Kempsville Presbyterian Church.Camp Constitution is a New Hampshire based charitable trust.  We run a week-long family camp, man information tables at various venues, have a book publishing arm, and post videos from our camp and others that we think are of importance. Please visit our website www.campconstitution.net

An Interview with Dr. Tobias Nicklas Professor Tobias Nicklas explores the surprising world of Christian Apocrypha — stories and traditions that continued shaping faith far beyond the biblical canon. From the Infancy Gospel of Thomas to the Acts of John and the Acts of Paul and Thecla, these writings raise profound questions about Jesus's humanity and childhood, a suffering God, and the role of women and imagination in early Christianity. Their influence, Nicklas shows, still colors Christian memory and art today. Professor Tobias Nicklas studied Theology and Mathematics at Universität Regensburg, Germany, and he did his doctorate on the "Jews in the Gospel of John." His German post-doc focused on Christian Apocrypha including the Unknown Gospel on Papyrus Egerton 2, one of the most ancient witnesses of early Christianity. He has been teaching at the Universität Regensburg since 2007. In 2018 he—and colleagues—founded the Centre for Advanced Studies "Beyond Canon" at the same University. Tobias has authored several monographs, including The Canon and Beyond (Tübingen, 2024) and the book we discuss in the podcast, Reading Christian Apocrypha with Janet E. Spittler (Minneapolis, 2025). A complete transcript is available here: https://earlychristiantexts.com/beyond-the-canon/

This conversation explores the intersection of mathematics and human experience, focusing on historical figures, philosophical debates, and the ethical implications of scientific progress. Jason Socrates Bardi discusses his book 'The Great Math War', which delves into the personal stories of mathematicians, the challenges of teaching math, and the relevance of these themes in today's world, particularly in the context of AI and misinformation.Takeaways The personal experiences of mathematicians shape their work. Philosophical clashes in mathematics reflect broader societal issues. Hilbert's optimism about problem-solving parallels today's AI discussions. Historical context is crucial in understanding mathematical developments. Ethics in science must be prioritized to avoid past mistakes. There are limits to human knowledge that we must acknowledge. Mathematics is a fundamental human skill, not just for the gifted. The future of mathematics will be influenced by AI and technology. Understanding historical fallacies can inform current practices. Kovalevsky's story is an inspiring example of overcoming barriers.Chapters 00:00 The Personal Journey Behind The Great Math War 03:08 The Philosophical Clash in Mathematics 05:13 The Great Math War: Key Players and Their Missions 07:38 The Foundations of Mathematics: Paradoxes and Theories 08:55 The Role of Historical Context in Mathematics 10:00 The Human Side of Mathematics: Stories of Resilience 12:36 Ethics in Science and the Modern Age 14:56 The Future of Mathematics and Technology 25:32 The Spectrum of Idealism and Realism 26:13 Understanding Ignoramus et Ignoramnibus 29:04 Neuroscience and the Evolution of Mathematics 33:12 The Future of AI and Consciousness 35:31 Fallacies and Paradoxes in Mathematics 38:31 The Legacy of Sofia Kovalesky 43:10 The Great Math War: A Reflection on Logic and HumanityFollow Jason on LinkedIn, Twitter, and find his new book here.Subscribe to Breaking Math wherever you get your podcasts.Follow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTokFollow Autumn on Twitter, BlueSky, and InstagramBecome a guest hereemail: breakingmathpodcast@gmail.com

In this episode, Kyle welcomes Jason To, Math Coordinator for the Toronto District School Board. Together, they address the ongoing debate between inquiry-based learning and explicit instruction. Jason shares his journey into the world of cognitive science, exploring how concepts like cognitive load theory and collective working memory may actually help explain why the Building Thinking Classrooms framework is effective. They also discuss common misunderstandings from both "sides" of the debate, the practical plateaus teachers often face, and the critical need for teacher content knowledge. Tune in for a conversation that moves beyond pedagogical labels and focuses on what's truly important: making sure students are not only engaged, but are also learning.Links:Jason's Blog Post: Why Building Thinking Classrooms Works: Using Evidence from Cognitive Science Research to Explain the Effectiveness of the BTC FrameworkOntario's High-Impact Instructional Practices in Mathematics

We start the episode discussing the outcome of the 2025 World Series and the MLB season as a whole and even find a way to relate it to our usual topics. We also share our latest video game experiences and have a fairly indepth discussion about anime phenomenon Chainsaw Man!

Dr. Julia Stoyanovich is Institute Associate Professor of Computer Science and Engineering, Associate Professor of Data Science, Director of the Center for Responsible AI, and member of the Visualization and Data Analytics Research Center at New York University. She is a recipient of the Presidential Early Career Award for Scientists and Engineers (PECASE) and a Senior member of the Association of Computing Machinery (ACM). Julia's goal is to make “Responsible AI” synonymous with “AI”. She works towards this goal by engaging in academic research, education and technology policy, and by speaking about the benefits and harms of AI to practitioners and members of the public. Julia's research interests include AI ethics and legal compliance, and data management and AI systems. Julia is engaged in technology policy and regulation in the US and internationally, having served on the New York City Automated Decision Systems Task Force, by mayoral appointment, among other roles. She received her M.S. and Ph.D. degrees in Computer Science from Columbia University, and a B.S. in Computer Science and in Mathematics & Statistics from the University of Massachusetts at Amherst.Links:https://engineering.nyu.edu/faculty/julia-stoyanovich https://airesponsibly.net/nyaiexchange_2025/ Hosted on Acast. See acast.com/privacy for more information.

— What if reality isn't material at all—but a shared dream, woven by infinite, eternal minds? In James book, The Dream of Matter, he explores the radical idea that our brains are not just organs of survival, but reflections of the soul's deeper activity. If that's true, then the existence of the soul is not only real, but measurable—visible in the patterns of thought, the rhythms of brainwaves, and the coherence or incoherence of our lives. This is more than spiritual speculation. By decoding the mathematics behind mind and matter, the book offers a structured, rational approach to consciousness—showing how personal growth, mental health, and even the future of civilization depends on the same principle: the evolution of mind toward coherence. Mental health, in this light, is not a private luxury but social infrastructure. When minds fracture, families, institutions, and nations fracture with them. Drawing on neuroscience, ontological mathematics, and systems theory, The Dream of Matter reveals how the soul can be approached as rigorously as any science—and why recovering it is essential for both individual well-being and collective survival. From the intimate journey of self-actualization to the emergence of a new social logic, this is a vision of coherence as both healing practice and civilizational compass. Valeria interviews James Croall — He is the author of "The Dream Of Matter: Neuroscience And Decoding The Mathematics Of The Soul." James is a former Silicon Valley cybersecurity leader turned neurotherapy practitioner and the author of the upcoming book The Dream of Matter: Neuroscience and Decoding the Mathematics of the Soul. After years of grappling with attention issues, burnout, and daytime fatigue, James discovered neurotherapy—an experience that profoundly reshaped his brain, his performance, and ultimately, his path. He now specializes in quantitative EEG (QEEG brain mapping), neurostimulation, and applied neurofeedback training. James holds certification as a QEEG technician and is trained in neurofeedback approaches that help clients build healthier brain patterns over time. Drawing from both systems engineering and cutting-edge neuroscience, he helps people manage and overcome symptoms related to focus, stress, mood, and trauma—without relying on medication or traditional talk therapy. His mission is to raise awareness of these science-backed tools, which remain surprisingly unknown to the general public despite their potential to change lives. The Dream of Matter grew out of a convergence between James's technical background, his transformation through neurotherapy, and a lifelong spiritual search for meaning and coherence. The book explores the deep structure of consciousness—arguing that the soul is real, governed by the same elegant mathematics that underlies the physical world, and may even be measurable. To learn more about James Croall and his work, please visit: https://thedreamofmatter.com/ and https://peakmind.health/

Do you consider yourself lucky? Or do you consider yourself have earned it by working hard? Or, is it both? Our guest today is Dr. Michael Orkin, is a statistics expert and he shares with us some surprising insights.TODAY'S WIN-WIN:In order to increase your chances, you need to put yourself in positions where opportunities can occur and create more chance.LINKS FROM THE EPISODE:Schedule your free franchise consultation with Big Sky Franchise Team: https://bigskyfranchiseteam.com/. You can visit our guest's website at: https://drmikeorkin.com/Attend our Franchise Sales Training Workshop:  https://bigskyfranchiseteam.com/franchisesalestraining/Connect with our guest on social:https://www.linkedin.com/in/dr-mike-orkin-5600584/recent-activity/all/ABOUT OUR GUEST:DR. MICHAEL ORKIN is a distinguished professor, consultant, researcher, and author with a wealth of experience that offers unique insights into the concepts of chance and luck. He holds a BA in Mathematics and a PhD in Statistics from the University of California, Berkeley. Throughout his career, Dr. Orkin has made significant contributions to the field of statistics, particularly in the gaming industry, where he frequently serves as a consultant. His extensive research has been published in numerous academic papers, and he has delivered invited talks on these topics, including a notable presentation at Google Tech Talks. Dr. Orkin is a Professor Emeritus of Statistics at California State University, East Bay, and he currently serves on the mathematics faculty at Berkeley City College. His expertise and experience make him a leading authority on the statistical principles underlying games, chance, and the role of luck in various aspects of life.    ABOUT BIG SKY FRANCHISE TEAM:This episode is powered by Big Sky Franchise Team. If you are ready to talk about franchising your business you can schedule your free, no-obligation, franchise consultation online at: https://bigskyfranchiseteam.com/.The information provided in this podcast is for informational and educational purposes only and should not be considered financial, legal, or professional advice. Always consult with a qualified professional before making any business decisions. The views and opinions expressed by guests are their own and do not necessarily reflect those of the host, Big Sky Franchise Team, or our affiliates. Additionally, this podcast may feature sponsors or advertisers, but any mention of products or services does not constitute an endorsement. Please do your own research before making any purchasing or business decisions.

Episode: 1465 In which random statistical clusters look significant.  Today, we flip six heads in a row.

Music is math that you can dance to. The fact that certain notes sound good when played together, or in succession, is related to the mathematical properties of the frequencies to which they correspond, an idea that goes back as far as Pythagoras himself. These days we have a much more intricate understanding of these relationships and how to manipulate them. I talk to composer and music theorist Dmitri Tymoczko about how different musical scales are constructed and the math underlying what sounds good.Blog post with transcript: https://www.preposterousuniverse.com/podcast/2025/10/20/332-dmitri-tymoczko-on-the-mathematics-behind-music/Support Mindscape on Patreon.Dmitri Tymoczko received a Ph.D. in music composition from the University of California, Berkeley. He is currently a professor of music at Princeton University as well as a composer and performer. He has been the recipient of Rhodes and Guggenheim fellowships. As a composer, his works have been performed by multiple groups, and recorded on several albums.Personal web sitePrinceton web pageMad Musical ScienceSpiral diagrams: rock music, classical musicGoogle Scholar publicationsAmazon author pageWikipediaWilliam Sethares's Tuning Timbre Spectrum ScaleSee Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.

It's easy to take maps for granted. After all, most of us have a pretty good map in our pockets at all times, ready to show us how to get anywhere on the globe. But to make a map useful, you have to decide what to keep in and what to leave out—and, most importantly, which mathematical equations to use. Beyond navigating from point A to point B, math and maps come together for a wide variety of things, like working out the most efficient route to deliver packages, calculating the depth of the ocean floor, and more. Host Ira Flatow is joined by Paulina Rowińska, mathematician and author of Mapmatics: A Mathematician's Guide to Navigating the World, to go on a journey through the math at the heart of all kinds of maps. Guest: Dr. Paulina Rowińska is a mathematician, writer, science journalist and author of Mapmatics: A Mathematician's Guide to Navigating the World.Transcripts for each episode are available within 1-3 days at sciencefriday.com. Subscribe to this podcast. Plus, to stay updated on all things science, sign up for Science Friday's newsletters.