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cover of episode Shalinee Sharma on Why the World Needs More Math Minds EP 494

Shalinee Sharma on Why the World Needs More Math Minds EP 494

2024/8/13
logo of podcast Passion Struck with John R. Miles

Passion Struck with John R. Miles

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John R. Miles: 本期节目讨论了数学教育的重要性以及人们对孩子数学学习的期望过低的问题。主持人认为,应该更多地关注成年人在孩子数学学习中的责任,而不是仅仅责备孩子。 Shalinee Sharma: Sharma女士分享了她自己的数学学习经历,以及她创立Zearn平台的初衷。她认为,许多人的数学学习经历充满负面情绪,这与社会上普遍存在的错误观念有关。她指出,在数学课堂上,学生常常被分为“数学天才”和“其他人”,这种分类会影响学生的学习积极性和自信心。她还强调了老师的鼓励和相信能够改变学生的学习轨迹,激发他们寻求帮助并努力学习。Sharma女士还谈到了在数学学习中取得成功的孩子通常会得到来自学校以外的支持,为了让所有孩子都能在数学学习中取得成功,需要建立一个能够帮助他们及时弥补学习差距的系统。 Shalinee Sharma: Sharma女士介绍了她的新书《Math Mind: The Simple Path to Loving Math》,并解释了书中提到的数学学习中的几个误区:1. 数学能力是天生的;2. 数学只是快速计算;3. 数学学习是死记硬背技巧。她认为,这些误区会让孩子对数学产生恐惧和厌恶。她还强调了理解比死记硬背更重要,可以使用图片或实物来帮助理解。她鼓励学生寻找更简单的解题方法,提高学习效率和兴趣,并尝试不同的解题方法,提高解决问题的能力。Sharma女士还谈到了数学是一种语言,需要不断练习,练习的方式应该有趣且有效。她认为,归属感对数学学习至关重要,尤其对女性而言。她还分享了一些研究结果,这些研究表明,女性在数学学习中更容易缺乏归属感,这会影响她们的学习成绩和自信心。Sharma女士最后呼吁全社会共同努力,创造一个全民具备数学素养的社会,并建议家长应该对孩子的数学学习抱有积极的态度,并给予他们必要的支持和帮助。

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Start shopping now at CarMax.com. CarMax, the way car buying should be. Coming up next on Passion Struck. When children can't read, we get mad at the adults.

And when children can't solve math problems, we don't get mad at the adults. We just absolve the children of building a math mind. And we think adults pushing on it are being mean to the kids, right? That's so weird. And I think we should have much higher expectations of the adults.

Welcome to Passion Struck. Hi, I'm your host, John R. Miles, and on the show, we decipher the secrets, tips, and guidance of the world's most inspiring people and turn their wisdom into practical advice for you and those around you. Our mission is to help you unlock the

power of intentionality so that you can become the best version of yourself. If you're new to the show, I offer advice and answer listener questions on Fridays. We have long form interviews the rest of the week with guests ranging from astronauts to authors, CEOs, creators, innovators, scientists, military leaders, visionaries, and athletes. Now let's go out there and become passion struck.

Hello, everyone, and welcome back to episode 493 of Passion Struck. A heartfelt thank you to each and every one of you who return to the show every week, eager to listen, learn, and discover new ways to live better, to be better, and to make a meaningful impact in the world. If you're new to the show, thank you so much for being here. It means the world to us. Or you simply want to introduce this to a friend or a family member, and we sure love it when you do that.

We have episode starter packs, which are collections of our fans' favorite episodes that we organize in convenient playlists to get any new listener pointed to everything we do here on the show, especially now that we have almost 500 episodes to go through. You can find these playlists on Spotify or passionstruck.com slash starter packs. In case you missed my interviews from last week, they featured Rachel Rogers and Clint Padgett. Rachel is the CEO and founder of Hello7 and author of the groundbreaking book,

We should all be millionaires. Rachel has sparked a revolution in how we think about money and wealth. In my episode with her, she's back with a highly anticipated companion guide, Million Dollar Action, your step-by-step guide to making wealth happen, where she shares practical tools and transformative insights to help you achieve financial abundance.

In my interview with Clint Padgett, who's the CEO and president of Project Success, we explore his unique strategies from his book, How Teams Triumph, and gain insights on fostering engagement, building resilient teams, and achieving project success. Don't miss this chance to learn from two of the best in the field. I also wanted to say thank you for your ratings and reviews. If you love today's episode or

either of those others, we would appreciate you giving it a five-star review and sharing it with your friends and families. Before we dive into today's incredible episode, I have some truly exciting news to share about my book, Passion Struck. For the first time ever, and only through August 18th, the e-book is being discounted from $14.99 down to just 99 cents for a limited time. I'm also thrilled to announce that Passion Struck is a finalist for the Global Book Awards. It has already won the gold medal at the Nonfiction Book Awards, was named a must-read

by the Next Big Idea Club and was also named the best nonfiction book at the International Book Awards. You can pick up a copy at Amazon or wherever you purchase books. Now, let's get into today's episode. I am thrilled to interview Shalini Sharma, a leading math learning expert and CEO on a mission to prove that math is for everyone.

With 80% of students who fail algebra dropping out of high school, numeracy, not literacy, has become one of the biggest predictors of getting into and graduating from college. Despite this, society continues to perpetuate the harmful myth that some people just aren't math people. Shalini is determined to change this narrative. Today, we discuss her new book, Math Mind, The Simple Path to Loving Math, which debunks common myths about the importance of math

and how we learn it, revealing the dire need for numeracy and the beauty and creativity of math. As the child of refugees, Shalini has always been passionate about universal access to excellent education. In 2012, she founded Zearn, the top-rated math learning platform used by one in four elementary students and over one million middle school students nationwide. To date, students have solved over 14 billion problems on Zearn. In our discussion, Shalini shows how learning and appreciating math

can help us master problem-solving skills, develop reasoning minds, create more career opportunities, understand personal finance, engage fully in the digital world, and even soothe our souls. Our interview is more than a roadmap to math learning success. It's a call to action to create a numerate generation capable of solving our biggest challenges in tech, climate,

health, and more. The good news is we are all math people. Join us as we delve into Shalini's journey, the transformative power of math, and how we can all embrace our inner math people. Thank you for choosing PassionStruck and choosing me to be your host and guide on your journey to creating an intentional life. Now, let that journey begin.

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I am so excited today to welcome Shalini Sharma to PassionStruck. Welcome, Shalini. Thank you. Thanks for including me, John. So excited to be here today.

Well, thank you for being such a fan of the show. And it's always great to have fans as guests. I truly love that. And I know that our community does as well. So thank you for tuning in and being a regular listener. So I want to start today's interview off, as I often do, by asking you, how did your experience as a child shape your views on education? Thanks for that question. I love that question.

I'm so curious about your answer to that question. And I'm sure a lot of your listeners are going to reflect on this through our conversation today. And I'd love to share my experiences with mathematics. We're going to talk about math learning and the idea that all kids can love learning math, which is a shockingly controversial idea. But my journey with math, I was not a math prodigy. So my journey with math, like many of our journeys with math was a lot of emotions that were often negative.

One of my most vivid memories in math learning is sixth grade.

So I had just transferred middle schools and I was the new kid in the middle school. I was really struggling in that school. I'd never moved from classroom to classroom. So just getting my schedule settled and figuring out where I needed to go for my next class was hard enough. And I was really academically behind my peers, which I felt in all my classes, but particularly felt in math class, I had decided pretty quickly that my

my best chance was just to survive that year. And I had no expectations whatsoever that I was going to be successful. And I'd also pretty quickly figured out in math class that there were math kids and there was everybody else. And I was everybody else.

And I remember after a test, my math teacher, Mr. Snyder, who is this amazing, passionate teacher, he asked me to come to his desk for a conference. So I went to his desk and he showed me the test and it had less red ink than usual. And he said, you did better on this test. And he said, if you try your best,

you could be as good as the boys. And when he said that, he tipped his head in the direction of the group of boys that were like the math kids. They were the best at math and they knew it and they were having a lot of fun in the class. And while by today's standards, that may not be the most sensitive way of sharing the sentiment, it totally blew my mind because what Mr. Snyder was saying to me was that first he believed in me,

a teacher that was that impressive to me believed in me and he didn't just believe that I could get a B and survive, but he thought that I could be one of the best. He thought I could understand. He thought I could be great. And I just never even considered that possibility. It wasn't on the table for me to think about. And I really think those few sentences may have changed the trajectory of my life because I, it gave me the courage to ask for help. I asked him for help. I asked my parents for help.

And I worked really hard. And through the course of that year in sixth grade, I went from memorizing, not understanding, learning the math for a test and forgetting it, to deeply understanding, learning math in a way I can never forget it, just like I can learn to read and never forget it. And actually, I even got to the place at times where

I wasn't just doing the math to please Mr. Snyder, though I did very much desire to do a good job for him. I found pleasure myself. I was having a blast just doing the math. And I think that all kids can have that. Well, for me, I have always done well in math and it always came easy to me. However, as I got more into advanced math and a plus, especially when I was in college and doing applied math,

I've started to find that to be extremely difficult because it was using a completely different part of my brain and how I was having to proof those equations than when I was doing algebra or geometry or even calculus. But for me, it's something that for the most part always came easy to me, although I do remember my mom being my primary tutor when I was growing up. And I think for you, it was your father.

How do you think his influence helped you to fall in love with math even more?

I don't have a scientific survey here, but whenever I get a chance to chat with middle schoolers, high schoolers, or grownups, other adults who feel positive about mathematics, they always share one additional support that was outside of school. 100% of the time, every single person. I know you were going to, I was going to, I could have asked you who supported you outside of school and you would have given me an answer.

And so I think that's an interesting phenomena to consider. What my dad did when I didn't understand math, let's say I went to math class. I didn't understand it. I came home, I was doing my homework. I was getting frustrated. I just needed 10 minutes of help. I didn't need to redo the fifth grade. And also that's not practical. I couldn't read you the fifth grade. I was on the seventh week of sixth grade. I needed to do sixth grade, but he sat with me for 10 minutes.

that's it sat with me for 10 minutes calmly taught me whatever i needed to learn asked me some questions believed in me told me i could do it and off i was again and what i would say is that again i don't have a scientific study here but it strikes me that kids who feel successful in mathematics have a system and a support to catch up when they fall behind

And kids who don't feel successful in mathematics, they have the accumulated experience of always being 10 minutes behind. If you're 10 minutes behind every day for a year, your confidence is shot and you don't understand. And so I would say that the question I always ask myself is how can we build for all kids systems so that they can catch up in a calm and supported fashion, which we don't really have in math teaching and learning today across the country.

Well, thank you for bringing that up. Today we're going to be discussing your new book, which comes out August 6th, the week that this episode will launch. It's titled Math Mind, The Simplest Path to Loving Math. And in it, you talk about how you've created a nonprofit called Zearn, which is the top-rated math learning platform for elementary and middle school children. What inspired you to dedicate your career to improving math education?

I was really the arms and legs of my fellow co-founders who are amazing teachers. So I'll share the stories of my co-founders. They had taught in schools for 10, 20 years and had really focused on serving students who are often not well served by our public education system.

And one of the main things they did in their classrooms is they got jaw-dropping math results for these kids. And they proved the possible. They proved that with the right support, all kids can succeed in mathematics. But their work was happening in single classrooms. And so the question really was, how do we scale this broadly? One of my co-founders asked a question at the outset. He said,

what if we put the best math learning online for free for everyone? Could we change the world? And as a child, my parents are both refugees from the partition of India, which is one of the largest refugee crisis in human history. 14 million people changed sides of the border between Pakistan and India, and several million people died in the course of a summer.

And so as a kid growing up with all of my family on both sides being refugees, I saw how important an excellent education and particularly an excellent math education was to rebuilding your life, to economic prosperity, to opportunity. And I also saw how lucky a person was to get access to that, that it wasn't a sure thing that you were going to get access to an excellent education.

And that just always troubled me as a kid. It was always something that I wanted to think about, work on, help. But when I began talking to my co-founders, I actually worked at Bain & Company. And I worked for large companies, large tech companies, helping them with all kinds of problems like digital transformation issues.

But these friends of mine, as they shared this idea that technology could augment the quality and access of math teaching and learning that kids could get, that technology could complement the important and hard work of teachers. The idea just electrified me and it still does. I've been thinking about this idea for 12 years.

And I still think that question that one of my co-founders asked, which is what if we put the best learning content up online for free? Could we change the world? That's still one of my favorite questions I've ever been asked. And it's a real privilege to get to work on that question still today. I just have to ask, when you were at Bain, did you ever work at Dell? So we can't share our clients, but Dell was one of the legendary clients and the teams that got to work at Dell loved it.

I signed an agreement that I can't share who my clients were. I got to work very closely with Bain when I was at Dell. And it was almost for us a musical chair of strategy consultants. It seemed every year we would go from Bain to Boston Consulting Group, to McKinsey, back to Bain. And so I had the opportunity to work with all of them, depending on what the project was that we were doing. But Bain was helping. It was the best, right? Obviously, John.

Well, Booz Allen was the best because that's where I used to work. But Bain was great and helped us really work on our strategy of figuring out what the new Dell was going to look like as we moved away from being just a hardware company into services and software and other things. So really helped me think about things in a completely different way.

Well, I want to go back to your book because in it, in the introduction, you write, most kids hate math and what they're taught is that math hates them back. Implicitly rather than explicitly, our way of teaching communicates to the majority of students that they don't have what it takes to be good at math. Can you explain that in a little bit more detail and why you feel that way? Thank you for that question. What I'd say is that math learning is full of myths.

And those myths are there every day. They're pervasive. And the first myth is that there are some kids who are geniuses. They are math kids. And those are the ones who are going to succeed in math.

and everybody else, it's not for you. Don't worry about it. Someone else can do math and you can do everything else. That would be the same as imagine if we brought a bunch of, I don't know, we're hanging out with a bunch of first graders and only some were going to learn how to read and the rest were going to be illiterate and that's perfectly fine. And don't be mean to them. They have other things they can do. So the first giant myth is this myth that

innumeracy is something genetic or innate, which is just absolutely not true. And the best evidence of that is that there are other countries where the majority of children come out of their schools numerate.

That isn't what happens with our schools. So, you know, it's like we have population scale proof of that first point that all kids can succeed in mathematics. So that's the first myth that's pervasive. That myth alone is a big deal. It's in the movies, it's in the books, it's in the way we talk. It's the way we talk to our own children. The humans we love the most on earth, we talk to our own children like that. So that's a big problem.

If that was the only problem, that would be great, but there are even more problems and they go into the daily way we understand and learn math. And so there are three myths that I'd love to kind of expound on a little bit. The first is that math is only for those who are really fast, who can calculate very quickly. And in fact, that is what math is. Math is just calculating very quickly.

So if you can't calculate quickly, a lot of things go on in your brain. One is you think, why doesn't a calculator do this? Why would a human who can calculate quickly be advantaged? The second is you think, let's say it's okay, well, who can finish this problem the fastest?

What you start to think is that there are problems that you can complete in a minute, and those problems are for you. And there are problems that you can't complete in a minute. And so those problems are for someone else.

And what that does is it saps any persistence or any of the problem solving mindsets that we need, right? Like when you think about working at Dell and the problem solving mindset that you wanted from your team, you didn't want them to work on a problem for one minute and give up. So that's the first myth, this myth of speed. The second myth is the myth that math is about memorizing tricks.

You know, that's kind of the empty calories of learning. So it is the case that sometimes you go into an exam and you just memorize a bunch of formulas, you plug and chug, and you hope for an A. But that is not the whole discipline of mathematics, right? So imagine if I'm in fourth grade and I have a reading test and I memorize 500 words, but I don't know how to read.

So I can't look at any word and decode it and read it. But I memorize 500 words and then I forget them because that's not a strong foundation of how the human brain works. And so then I don't know how to read the next week. That's absurd. Similarly, you can learn math so you don't forget it. You can learn it like reading. And a lot of adults and children do not know that. They think math is a series of tricks to memorize. Two divided by one half.

Well, flip and multiple. Have they ever thought about what does a whole number divided by a fraction even mean? No. Why would you bother knowing that? You just memorize, you go to the next thing. And then the last myth, and I think this one is the one that takes all the joy and love of math away, which is that there's only one way to get to the answer. Now,

Don't get me wrong. There is only one answer. Two divided by one half is only four. There's no other option. But there's a couple of ways you can solve that problem in your mind. And giving children, empowering children and adults with the creativity and freedom and enjoyment of solving a problem the way they want to has huge amounts of value.

But a lot of children, they really think that I'm not fast, I can't memorize enough, and I can't do it my way, I have to do it your way. And so I hate math. And I think that's a reasonable thought. It's just none of those things are math. Whether you're making the same breakfast that you have every day or baking a cake for an extra special day, eggs are a staple in our diets. Eggland's best eggs are nutritionally superior to ordinary eggs, containing more vitamins and 25% less saturated fat. Not

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I did this interview a while ago. I'm not sure if you ever listened to it or not, but it was with a long-term mentor of mine, Captain Wendy Lawrence, who's a former astronaut. And Wendy has gone around the United States talking to kids for the past two or three decades about giving yourself permission to dream your dream.

And she said math is one of the most critical areas where kids tend to give up on themselves the first time that they face any adversity. And she loves to tell them the story that she did extremely well when she was at the Naval Academy, was at the top of her pilot class, et cetera, et cetera. And then when she went to MIT, she realized just how smart everyone at MIT was and that for the first time in her life,

She was on the lower end of the bell curve, and she was really suffering with her classes to the point that for the first time she was starting to fail. And she said, you have a choice regardless of what your age is when you hit that point. Either you can succumb to the failure or you can double down and figure out how to overcome it. And in her case, she started setting up private sessions with her professor and

to help better train her mind how to get through the complex math that she was facing at MIT and obviously ended up prevailing. But she said that's one of the biggest things that she sees is today when kids face adversity, especially when it comes to math, there's this natural tendency to give up

rather than doubling down and trying to figure it out. Did you find that to be the case also in some of the research that you have found? Absolutely. And look, at the end of the day,

Kids are smart, right? So you walk into a middle school and there's a poster on the wall that says, making mistakes is how you learn. And it's just a lie because when they make mistakes, they get punished. And they live in an environment that says that when they make mistakes, it means they shouldn't try. It's not like kids, they don't take, why do they do this in math, but they don't do it in other things? It's because that's what adults are telling them. And so I

We have to be really careful about what are the ways in which we support kids so they actually want to double down and try. And so the first is belief, right? In the case of Wendy, your mentor, what you're sharing is she took extra time with her professor, right? Just like your mom gave you extra time, just like my dad gave me extra time. That professor would not have given her extra time if he or she, if the professor didn't believe in her.

And she also wouldn't have, if the professor, if she went to the professor's office hours and said, may I please have some extra time? And he said, nope, you're just a complete dope. You should leave this school. That would not have gone as well for her. So whatever that individual did, they showed with their actions that they believed, and then they gave her the extra support.

I think about the countless things that children do. If you, I don't know, if you are playing sports and you want to get better at batting or pitching, you wouldn't say, well, there's some kids who are just magical pitchers. They were born like that. I'm nine years old. I'm not born like that. So I'll just give up. You would say, you'd ask your parents to take you to a field and you'd say, can we practice? Can you help me? Can you help me? I want to get better.

But the world of math still has this narrative where kids give up. And I can tell you so many hazing stories. Like I told you the story of my sixth grade teacher who did not haze me. He did the opposite. But I have so many stories of

And through the course of my high school and college career, I ended up doing advanced mathematics. I ended up in the kind of honors track or the AP track. And my God, the hazing that you would get. I remember in ninth grade, there was an honors math class that I joined and the teacher opened on the first day with not enough chairs for the number of children enrolled in the class. This was already a selective class. There were so many cutoffs to get into it, including a test.

So these were children who were motivated and crossed some threshold. And just to haze them further, on the first day, he didn't provide us enough chairs. So a few friends, I got a chair, but a few of my friends were standing while he opened the class saying, this is the only path to BC Calculus AP, this class, you have to get an A. And not all of you will get A's. And I'm just showing you right now with the number of chairs here, the number of kids I'm expecting to not make it, but it could be more.

That was the first moment of the class. How is that going to make children feel when they fail, when they fail a test, when they're struggling in homework? What it means is that I need to be sorted out of mathematics. I can't learn. And what I really admire about your colleague, Wendy, or your mentor, Wendy, is she was courageous. She was brave. She was like, I need help. Help me, please. And it takes so much for... It took Mr. Snyder...

asking me to come over to his desk for me to be courageous enough to ask for help. I've been struggling for weeks. I knew I needed help. I just wasn't courageous enough to ask for it. And so I think that unfortunately, this is what math is like, though I will say it is shifting. It's a lot different than when we were kids. It's getting much better.

So I was hoping, given that backdrop, you could talk about some examples of countries or regions that excel in math education, what we can learn from them and understand why the U.S. is lagging behind these other countries when it comes to math education.

Thank you for that question. I love that question because I think our best approach forward is to look at what's working both in our country, because there are places it's working, and certainly what's working in other countries like a Singapore or a Japan. And we shouldn't get overly attached to any one example because each one will have differences. There are cultural differences, there are context differences,

But if we step back and look across all of them, there is a there's a lot of

emerging research and learnings about how to build a math mind. The one thing that's funny is a lot of the research is American research conducted at American universities like Harvard University, but then applied in other countries. So it's just important to remember that even when we see the results in other countries, it is actually our scientists and our professors that are coming up with this research.

And in the book, I talk about the five methods to build a math mind. And I think that is the synthesis of the research we know today. And there still is more research to be done. So I don't think that we've gotten to the place where we know exactly how to build a math mind. We know all the parts and we just should be implementing. But we certainly are at the place where we know enough that we should be implementing more consistently.

So, for example, in March, I happened to be in Singapore and I spent some time with the Ministry of Education visiting classrooms and I spent three days with them. I think I heard the word believe we believe in kids from teachers, principals, math coaches, the Ministry of Education officials.

I think every day, each person said it 20 to 30 times. So by the end of it, I was like, believe. It's just over and over. I heard that word. And I think when you look at exceptional results in U.S. classrooms, you are going to see the beginning, which is belief, the belief that kids can do it. And so I'd say the first is that kids need to believe that.

And they need to feel that they belong in a community of math learners. So I love the perspective of an astronaut, right? Like somebody who is so gritty, so accomplished, has overcome so much adversity.

struggling at MIT and still having the courage to go to her professor and ask for help. So how does that arise? How that arises is that often that person feels they belong in a place, right? When that sixth grade classroom I was in, I did not feel that I belonged. I was a new kid. I was struggling in all my classes, not just mathematics. I didn't have any friends. I was just brand new at the school.

And so when Mr. Snyder took the extra time to talk to me, he was inviting me in to belong. So this idea of belief and belonging you see consistently as the basis of any math achievement we see in this country or in other countries.

So I think the second thing that we see is that this idea that you don't memorize your way through, you understand. And there's a very specific way that we teach understanding consistently, and that's with pictures or objects, right? So a simple example is what I was talking about before, which is this idea of two divided by one half.

So when you divide a number, if I take the number 10 and I divide it by two, will the number be bigger or smaller? What's going to be smaller? When I divide something, it gets smaller and I get the number five. Well, when I divide two by one half, the number gets bigger. It becomes four. Well, what's going on? How come it's getting bigger? Can you tell yourself a story? Do you understand what two divided by one half means?

Let's try to tell ourselves a story. Okay, I have twins. I have 13-year-old twins. When they were little, their friends would come over. So it's not uncommon for me to have four children at our apartment. So imagine if I have two very big cookies, but I have four little kids and I don't want that much sugar going into their bodies. So I'm going to take those two very big cookies, divide them in half so I can have four pieces for each of the children. Okay, I can tell myself a story. I know what's going on.

That is the understanding that pictures, objects, real world context, kids cannot understand mathematics unless we bring that in. Same with adults, by the way. Same with mathematicians. Same with anybody. They need a picture. Now, that picture could be a parabola. It can be something more abstract as the math gets more complex. And I'm not saying you're going to draw your way through the SAT, but if you can't tell me what's going on, then you don't understand.

And you could understand. And when you do, you'll enjoy the mathematics. You'll be able to apply it. Your learning will be durable. You can take it to another place. The third thing that we see in kind of strong performing math classrooms is kids feel the agency to make an easier problem. So the example I like to share is just the calculation 35 times 18 math.

If you learn math in a really disempowering way, you just, you think there's one way, you get out a paper and pencil and you write out the algorithm, you stack the two numbers and you multiply through. Kids who've been taught to make an easier problem, and it's sometimes by their mom or their dad or their additional support, they might say, huh, well, I don't really want to do the algorithm because that's just irritating. And so, but 35 times 20 is 700.

And then I have two extra 35s and 35 times two is 70. And so 700 minus 70 is 630. So I'm just not even going to do the algorithm. I'm going to make an easier problem. Why does that matter? That matters because kids are enjoying the math. They feel agency in the math and they actually are just using less brain energy. And so it saves brain energy. It saves cognitive load for the harder math in front of them.

The fourth thing we learn is that it comes back to the adversity piece that you shared of making mistakes, which is kids' interest and desire to try a different way. I love the video game example, right? So if you watch children play video games and they lose, they don't slay the dragon. They are not like, okay, well, I'm not a video game kid. I can't slay the dragon. They're like, okay, we should try this a different way.

And another thing that they'll often do is talk to their friends. So they'll ask their friends, well, how did you do it? Well, should we try this way? Should we try that way? They'll engage in

excited, enjoy enjoyable problem solving. And the ego is goes away, right? They don't feel humiliated. They don't feel embarrassed. They might for a second, but then they're going to jump in and be curious and be talking and really engaging in the conversation around problem solving around trying a different way, which you do with everything, right? This morning, my coffee machine wasn't working. I didn't decide I wasn't a coffee machine person. I just tried a different way. I just kept trying. And then eventually I got a cup of coffee.

And I didn't get like overwhelmed by some sense that I'm dumb. I just kept trying. And the last thing that I will say is that

Math is a language. So if you wanted to, let's say, learn French or Japanese and you practiced once a month, you would be very bad at French and Japanese. It just doesn't matter how smart you are or how great you think you are. You just have to practice. And so numeracy is like a way that the brain works and you just have to practice. Just like reading, you have to practice.

And one of the things we do in math practice is we make it really boring and not fun. So when I think of math practice, even though I build CERN and I try to engage in a world of enjoyable, fun math practice, one of the images I conjure is a worksheet with 40 long division problems because that's what I had to do when I was little. Why? That's not fun at all. And so we have to practice math, but we have to make it fun.

I'm glad you brought up numeracy because in the book you talk about the fact that numeracy is as crucial as literacy. And you gave a great statistic in the book. You write that since the 12th century, the system to represent any number on earth with those symbols is universal. There's no tower of Babel in math. We all can understand one another. It's an ingenious structure that always works. And I don't think we think about that. We have all these different languages across the world, but we really

only have one way that everyone uses math. And that's really a unique and binding force, if you think about it. Isn't that the coolest thing ever? That before the 12th century, so the kind of the history of the numbers that we use, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, and the decimal, and those symbols represent any number that we can conceive of.

The history of that starts first in India, and that's where that set of symbols are invented. And then they find their way to probably what is modern day Uzbekistan. It was an area called Khwarazami.

And then they find their way all through the Muslim world in the Middle East, North Africa. And then finally, they make it to Europe. And while that seems slow, that took from the 8th century to the 12th century, that seems slow. You have to understand there's no internet, there's no modern telecommunications. And so that is, it's basically one way of representing numbers that's so useful that

that it goes viral. And it's not just useful to intellectuals and mathematicians. So the word algorithm is based on a man's name. His name was Al-Khwarizami. And the Latinization of his name is the word algorithm. And so he was a great mind, a great intellectual, and he loved pure mathematics and proofs. And so he really loved that structure.

But what made it go viral were actually merchants and shopkeepers who just thought it was easier to use. It was easier to use than, for example, other systems like Roman numerals, right? Try adding using Roman numerals. You can't stack them. And so it's super exciting that we can all be numerate together with the same numbers and symbols. Excuse me.

When I was in Japan last summer watching math classrooms, I don't speak a word of Japanese and no portion of math instruction is in Japanese. And so I was there with the chief academic officer of CERN and we had with us a translator who was whispering the Japanese into English in our ears. But, and we were watching a 10th grade, like an upper level math class.

It was so riveting. And because we could follow the mathematics, just the numbers and the work, the written work of numbers going up that the teacher was representing and the students were representing,

We kindly asked our translator to stop talking because it was so riveting to watch the mathematics and enjoy the mathematics. We didn't need the Japanese language translated to English. We had math that we could all universally understand. And so, and she was got flustered. Am I doing something wrong? And we were like, no, we can follow it. And so please just don't talk so we can enjoy ourselves. No, it is funny because whenever I have traveled to Japan,

It's as if your meetings take three times as long as they should, but it's because three translations take place. Yeah. And it is a tiring process. So I can sympathize with you finding an easier path that everyone understood. In the book, you give out six different benefits that math provides. And the first one you talk about is problem solving. And in the book, you explain that problem solving is a distinct cognitive experience.

You say instead we ask what is happening in the problem. It is not mindlessly following a single perspective set of steps. The way to solve the problem and every problem is to understand what is happening in the problem. And you say that your advice to problem solving is to make a movie in your mind, which I found quite interesting. Can you explain what you mean by this? Because I think it's something that could be useful for people who are listening.

to undertake problem solving themselves? Yeah. Thanks, John. Thanks for that question. Yeah. So I observe, so I get the chance to go to math classrooms. I've been to thousands of math classrooms. And what's interesting is the children are interested in pleasing the adults around them. That's often their motivation, especially in school. And what happens in that desire to please and then not really understanding what's going on is this

totally distinct cognitive process from problem solving, which I would call answer getting. Answer getting is where you don't really understand what the problem is asking, but you think you have the formula to apply. You apply the formula and you say, am I right? Well, why don't you check your work? Why don't you think about it? Are you right? How would you know if you're right?

Math, unlike other fields, has a dimension to it, which to use a technical term is called autodidactic. What does that mean? That means you can check your own work. So if you're asked to multiply three times six and you've guessed that it's 18, you can check your work. You can take 18 and you can divide it by six and see if you get three.

And so that's one of the dimensions. In order to check your work, you'd have to understand what's even being asked.

And sometimes when word problems are presented, you can't understand it when you first read it. And so what I often encourage children to do is to reread it and make a movie in your mind of what is happening. Don't get stuck into, don't read the problem and immediately think about what formula you need to apply and how do I solve this? But just take a breath, read the problem and make a movie in your mind. What is happening? I don't know that much about literacy and reading instruction.

But one of the things I've heard great reading teachers say as children are read aloud to is you ask children to close their eyes and visualize everything that's being read aloud to them and it makes them stronger readers. And what I'd say is there's a very simple problem in the book, which is something like three bags of marbles cost $18. How much does one bag of marbles cost?

And children will multiply three times 18. So they'll think one bag of marbles costs more than three bags of marbles. And they'll put that answer down. And that's completely unreasonable. If you close your eyes and you picture a giant bin and there are marbles and there's a sign that says three bags cost $18. And you kind of just take a second and think about that. You are not going to make the mistake of thinking you have to multiply three times 18.

but we skip that cognitive step that the step of understanding thank you for sharing that and i think as you explain in the book the other thing that we tend to do is when we're problem solving we tend to make math seem like it's a competition use the example of 63 plus 37 that a teacher would ask asking for kids to raise their hands where they could do it the opposite way which is

If you are looking for an answer of 100 and you've got 67 and you want to add 37 to it, what is the process that you go about to make those two come together to equal 100, which is a different way to think about it completely. You also mentioned one of the benefits, and this one was my favorite one, that math can soothe the soul.

Can you elaborate on this idea? Because I think it has a lot to do with creativity and another thing that I think is important for kids, which is learning musical instruments or performing different variations of art. So math is behind a lot of the beauty we see. So beautiful building, beautiful song,

what the part of the beauty in it to us as humans is the patterns that we see. So one of the things, there's a few things we intrinsically enjoy. And one of those things is that we love patterns. We love to find them and discover them. So,

if you're kind of listening to a song and then you discover the pattern of the song that you may find that beautiful. Or if you think of a haunting melody, like a melody you really enjoy, there is a mathematical pattern in that that you're enjoying. So math literally illuminates beauty around us. And I think that

It's really important to know, well, to know, I would say to know two things. One is that math can be, math is beauty. There's beauty in mathematics and that it's for everybody. It's not just for some special group that you're not a part of. Ancient religions all incorporated mathematics as like maybe the way that they structured an altar or the way that they, you know, special sort of important numbers, the number of prayers you would say, the time of day you would say those prayers, etc.

So it's always been something that is beautiful and mystical in human history. And it kind of actually is. I would say one thing that I always wonder about, particularly you mentioned calculus. So calculus is a field of mathematics that is so astonishingly beautiful that it's kind of hard to believe that humans invented it. So if you think about it, calculus is the

Mathematics that can most efficiently explain motion on Earth. So if you think of Newtonian physics, a car is traveling at 60 miles an hour, then a car speeds up to 70 miles an hour. That change in velocity is acceleration. And calculus is the mathematics that most efficiently helps us determine what that acceleration is.

How did humans invent that? Because we didn't invent gravity and we didn't invent motion on Earth. And so if you actually start to explore some of the deep mathematics that explains how the universe works, it does get mystical. It is mind blowing. And then you start to think, are humans inventing math or are they just actually discovering math? Is math already there as the structure of the whole universe that we live in? Those are ways in which math can soothe the soul. Other ways are puzzles.

Who doesn't love puzzles? And that actually is what math is. Math is full of puzzles. Math is not torture. It's not memorization. And puzzles are things that actually create a dopamine hit into the brain. People, that aha moment when you solve a puzzle, that's what math is full of for all of us.

I personally believe we've only learned the tip of the iceberg when it comes to math. And if you do believe in extraterrestrial life, I think that the math that they practice, the concepts of physics and other things are so far advanced beyond what we have discovered up to this point. And to me, it's just this discovery that we have yet to come to that we are going to continue over the next

decades and centuries learning more and more as we get further and further into our desire to do off-world exploration, which is going to lead us to have to figure out new ways to do things. Shalini, I wanted to go back to the concept that you brought up earlier about belonging. And in the book, you talk about the benefits of membership. And you say that scientists have studied the value of belonging

and the value is immense, especially when it comes to math. And I talk a lot about on the show the importance of mattering. And to me, mattering and belonging kind of go hand in hand. And in this section of the book, you talk about Larry Summers, the then president of Harvard University in 2005, set off a firestorm by saying or implying that girls were not as capable as boys in the fields of STEM due to their gender.

And what he was talking about was the lack of participation of women in the STEM pipeline at the university level, saying that the STEM pipeline is sometimes called leaky, meaning that despite the number of women able to participate in STEM,

based on their scores comparable to men, so many of them drop out. Can you talk about the work that Carol Dweck, Anita Rattan, and Catherine Good did to research this suggestion and what they found? It's shocking, actually. Thank you for referencing that study. So I'll go back to that hazing of my ninth grade math class.

So in that ninth grade math class, we're back in the early 90s, late 80s at this point. There are only a few girls in this class to begin with. It's a selective class. The teacher comes out with the bold first day of class, first morning of ninth grade without enough chairs, and then terrifies us saying that he's going to fail us out. And I'll tell you that until the children were actually, like my other fellow peer children were failed out, until then, I was convinced I was going to be failed out.

And what's the reason? The reason is that there is a myth, which is girls can't do math. And I'm in that classroom as one of four or five girls and girls can't do math. So every day I have two challenges. The first is to learn this accelerated mathematics. And the second is to prove that girls can do math and that's just extra work. And then when I come home or if I do poorly on a test or if I come home and I can't do my math homework,

I have two thoughts in my brain. The first is, I'm thinking about the math itself, right? So let's say it's quadratics or factoring polynomials. So I'm thinking about that. And then I'm also wondering, can girls do math? I've got this extra thought process and it's referenced as churn, right? So just there's this extra churn taking away my brain from doing the work in front of me, wasting my brain energy, but also really sapping my confidence and feeling like I can participate.

And so the study, so Larry Summers allegedly said this, what he actually said isn't clear, but folks in the room freaked out for sure. And Carol Dweck and her colleagues did an incredible study. What they basically did was they looked at students at one of the most selective universities, that university isn't named, but it's one of the most selective universities in the country.

And those students were in a higher level math class. So they'd already done a bunch of mathematics to get into that university. And then they were in a like an upper level math class, which means they had to have done the prerequisite courses and done well. And they first asked all of those young adults, men and women, whether or not they felt they belonged in the university setting, just general sense of belonging.

And here they found no difference. They didn't find that the girls or the women or the men had a different perspective on their belonging in the university setting. But then they drilled in to see how these young adults felt about math class.

And the level of just how fragile the sense of membership and the sense of belonging that these women had compared to the men was shocking. And one question that always like sticks with me is if I, the question I asked the women was something like, if I do poorly on a test, do I believe that the professor would invest in me? Yes or no. And most of the men said, yeah, I believe that.

And most of the women said, no, I don't believe they would. And so it's really interesting, right? That you don't even believe that the person who's there with the expertise to help you, if you did poorly, would help you. The other thing that the study showed was

how little it took to knock women off the path after a decade plus of success. So to get into the selective university, you've already done so well in mathematics. Then you've spent a couple of years at the selective university doing upper level math classes, doing well. Now you're near the end of your university experience and you do poorly, or you have one bad experience and you're like, forget it, throw in the towel, forget math. After all that effort and all that success.

That's pretty shocking. And that is still the world of math we live in. And because math is the foundation of anything in STEM, it then relates to the overall STEM pipeline.

Sean Lenny, thank you for sharing that. And last question I wanted to end on was you write that we all have a role in creating a numerate society, parents, teachers, school administrators, sports coaches, journalists, filmmakers, et cetera. But to get there, the numeracy revolution needs the same passion and purpose.

of the worldwide literacy movement, which is why the United States has been re-sparked recently. So how do we get kids to start learning the captivating yet believable idea that all kids can learn and love math, like the movements are going about loving reading, for instance? I mean, the thing that I would say to, first of all, what I would say to parents is,

Just because math, if math didn't go well for you, don't carry that forward. Don't let your kids miss out. There's too much they're going to lose. So if your child in fourth grade doesn't do well on a math test, don't say, that's okay. I wasn't good at math either. Don't say that ever. Never say that. That would be like a child who, I don't know,

wasn't whatever lost their team, their baseball team lost a baseball game in little league in fourth grade. And then your child came home and you said, that's okay. I lost all my little league games too. Don't say that. That's not what the kid needs to hear. That is not helpful. What you should say is that's okay. We all make mistakes. How can I help you?

and actually believe in the kid and then give the child support. So I think that is the number one thing that if we can switch our orientation as adults supporting kids, that I think is going to have the biggest and most lasting impact. I think the other question to ask ourselves is,

Why do we think, so what I would always say, the way I frame it is when children can't read, we get mad at the adults. And when children can't solve math problems, we don't get mad at the adults. We just absolve the children of building a math mind. And we think adults pushing on it are being mean to the kids, right? That's so weird. And I think we should have much higher expectations of the adults, right? So as I shared earlier,

If we, if you thought that a school district believed that, let's say like a large school district in your, in your state, I think it's completely reasonable. The kids come to elementary school. Some of them learn to read and the rest leave illiterate. That's fine. Like, why are you being mean to these children? We think that's okay. That is that we don't think that's okay. Sorry, because that is not okay. But with regard to mathematics and your same school district, a bunch of children come to middle school and they finished middle school and a bunch finish enumerate.

a lot, incapable of passing algebra, that's not okay. And so we just have to have those same expectations and beliefs. And it is a step change. It's a big change from how we grew up that our kids deserve.

So if there's anything I want people to take away from today's entire discussion, it's your affirmation that every kid is a math kid. And I think that this is extremely important because math proficiency is a prerequisite for success, not only today, but more importantly, in our tech dependent digital world that these next generations are growing up in, that's only going to compound in its advancements and its speed.

If people want to learn more about what you're doing, what are the best places for them to go to?

Well, so zurn.org is the platform if you have kindergarten through eight kids through eighth grade and they can, you can, anyone can sign up and create a free account to teach your parent and use all of the learning content. So that's a great place to support your kids with that kind of extra help, John, that your mom gave you or the extra help my dad gave me. And the other thing is please, if you're interested, check out the book math mind, which you can grab anywhere you buy your books.

Shalini, thank you so much today for coming on the show and for sharing this very important topic with our audience. It was a pleasure to have you. Thank you, John. Thanks so much for having me and thanks for your awesome questions.

What a fantastic interview that was with Shalini Sharma. And I wanted to thank Avery Books, Ashton Bollard, and Shalini for the honor and privilege of joining us on today's show. Links to all things Shalini will be in the show notes at passionstruck.com. Please use our website links to purchase any of the guests that we feature here on the show. Videos are on YouTube at both our main channel

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Rob, an MIT grad and former water polo team co-captain, delves into the masks that we wear, toxic leadership, and how leaders can foster high performing teams as well as authentic organizational cultures. Discover powerful insights and practical solutions for transformative leadership. There's a Stanford study from 2015 that said the way that companies manage attributes 120,000 deaths per year in the United States alone.

and 5% to 8% of the total annual health care cost.

That's crazy. It makes it the fifth leading cause of death in the United States is how we manage folks. Not to mention the fact that happier employees do better and more productive and you make more money. Toxic leadership is killing us and it almost killed me. The fee for this show is that you share it with family or friends when you find something useful or interesting. If you know someone who's really interested in math or maybe is not interested in math and this episode can be an inspiration for them, then definitely share this episode with Shalini Sharma with them.

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