The "Why" of Math | Po-Shen Loh | TEDxCMU

[Applause] thank you there's a pain that affects millions billions of people around the world it causes heads to hurt some people say they're allergic to it it affects them for over a decade of their lives it's math such an epidemic surely needs a doctor I'm afraid I'm not a real doctor but I can doctor some math I'm a math professor here at Carnegie Mellon University a few years ago when I became the national coach of the United States International math Olympiad team it inspired me to think about what I could do to try to help everyone with the way they approach and learn math on a national and international scale there was only one problem one is the loneliest number as they say and one person cannot possibly have the diversity of thought diversity of skills to achieve this and so I founded the social enterprise XP to help me achieve these goals around this time I really started to think about what might be behind people's thinking about mathematics and also what we could do to try to help everyone learn math I attended a conference at Oxford University and I remember this very distinctly not at the end of the first day when we were all talking about different ways that we could run national programs to help more people learn math suddenly occurred to me you know how much money are we spending as a public society from the government's and education departments to teach people how to do math we're spending a lot actually but how much money are we spending as a government to teach people how to play basketball but how come people can still play basketball or any of your other favorite sports actually maybe we should start asking the question of why people do what they do because actually here's another interesting stat how much money is spent to try to convince people to play basketball whether through advertisements or media have you ever seen an advertisement for math ah so maybe maybe we actually need to ask the question of why but not the usual kind of question of why is this good for you I mean when was the last time you remember seeing an advertisement for your favorite soda telling you you should drink it because of how nutritious it is actually usually you see somebody that you might want to be like taking a drink and being happy you see human motivation starts even below the conscious so maybe if we want to move the needle on mass we need to be bold and take a page from entertainment [Music] dude that's a bomb that's the bus I know he's not gonna make I promise you this is actually a nice video now I'm gonna cut ahead to a part in the middle where you can see how the math and real life intersect and since the street in the alleyway create a right triangle I can use the Pythagorean theorem to beat the bus I [Music] know there are four spaces between the telephone poles on the street the bus is currently on and the street the bus and I were just on has three spaces so actually maybe the secret if you're trying to build something that will help teenagers maybe teenagers should be a key component of that design and that conversation that's the secret here maybe let me jump to the end just so you can see how this works yes there is a math lesson in between we're jumping over it right now and if I add them together it makes 25 and the square root of 25 is 5 [Music] all right how did you get here so fast hop back here Theron man I gotta learn that so collaboration by the way is a beautiful thing remember I said one person can't possibly do what is needed to move the needle credits to Christian Brown for his crazy parkour skills engaged rusalka and also the steel town steel towns teen film crew which were all behind this particular production in fact what you've just seen here is a preview in some sense is the first of a series of math real-life and entertainment that we're producing we're working actually with a variety of different partners in the film and entertainment space so that hits the first part of the Y which is the subconscious the good thing though is that actually this is worth it math actually is useful so there's the next level and that's star Park talking into the conscious because I also want to share that we're not just doing math because it makes us feel good actually math can give you a sense a sixth sense so to speak and I like to give this example to show this will be relevant to you in your life the next time that you may be facing a beverage served in a cone-shaped cup I just want to do a quick quiz of the audience just this is not a math quiz this is an intuition quiz which one of these is half-full in terms of how full of the volume who thinks it's the first one who thinks it's the second one third one fourth one and indeed the majority of the audience agrees with what I thought too which is I thought the answer was the third one and it's wrong actually there was about one or two hands that went for the fourth option believe it or not if you're looking at that fourth option that is actually half-full by volume this is an example of how human intuition is actually chronically wrong across seven billion people now most people don't believe that that could possibly be half the good thing is that math gives you a framework to go from something you don't believe to something that you might believe and the idea is that when you think about volume if you start shrinking the dimension of an object on all three dimensions the volume of the object changes by the product of how much you change on each direction if you have it this way half of this way in half of this way you just 1/8 of the whole thing and so actually 80% 0.8 times 0.8 times 0.8 that's 0.512 that's about 50% to me as somebody who loves math I feel that if you start to use this aspect of math then you can see the whole world with some sort of heightened sensitivity you see patterns you understand and that's one of the most pleasurable feelings actually to understand what's going on around you and to be able to change everything well but it wouldn't be very nice for me just to do a tease and say oh this is all great stuff but you know as everyone knows people are born either able to do math or not let me debunk that right now I don't think that's the truth actually there are certain aspects to math that if you learn it the right way actually everyone on earth could actually do math and have this sixth sense you see the best analogy I would give is this I'm gonna put something on the board I will give you two seconds it's a pattern of lines on a dark background memorize as much of it as you can in two seconds are you ready one two okay so now most of you probably can memorize a part of it instantly and for most of you there are parts of it that if you had 20 seconds you wouldn't be able to have memorized and what I'm referring to here is a car there's a notion of concepts and structure a lot of times when we learn math we're used to thinking of trying to memorize as many pieces as possible I will say if I'm trying to memorize this just by the little marks on the screen I will also fail miserably but at the same time the fact that many of you have different parts of it that you immediately recognize just show the power you have when you understand concepts and so actually pulling back to the basketball analogy one other reason why so many people can play basketball it's because of accessibility it's not just a tease saying basketball is fun but good luck you won't find a hoop anywhere there's a hoop in every neighborhood so clearly what we need to do is to do the same for math but won't that cost another billion dollars to put the equivalent in front of everyone well we are at a unique moment in human history very unique moment where it doesn't cost another billion dollars because there is a portal through which everyone can access which might be in your pocket right now in fact there are no two billion smartphones in the world and this opens up another way to let everyone learn math through maybe what should be the best possible ways which are one-on-one because actually I can even give an analysis of why math is so hard to learn every subject has concepts I claim math has less concepts to learn than history but there's one fundamental difference if you look at how the concepts of math are arranged the quadratic formula needs square roots it also needs fractions these addition subtraction there are very very long chains of dependencies links between the concepts where I say in history it is not quite so linear and so if you might have happened to get sick for a week or had something else on your mind in middle school when you were anyway transitioning into adolescence and adulthood and missed some things missed some links then you might suddenly wonder why things aren't making sense honestly it's just because some of the links in the middle are missing but then that gives a recipe to try to fix this if only we could find a way to identify everybody's missing links and patch them one at a time then everything would make sense I mean personally I'll share I liked math because for me I couldn't remember anything and so it was the easiest subject you just had to know how to problem solve away from link to link and the beauty with computers the fact that everyone has access to a smartphone and the fact that the computer servers that you build can process a billion calculations a second which by the way is doing math as fast as the entire world working together at the same time the fact that these have all converged at the same time makes a way that we could actually give that access to every single person I've just described a strategy in abstract of course it's great that there are lots of different groups all trying to achieve through this strategy with what we do actually we decided that we even wanted to combine that with something else going back to that diversity going back to that idea that there are different things that move you maybe there should even be different ways to learn every lesson how about that if we work together on this all of the different education organizations in the world we will achieve everybody being able to do math but now there's a deepest deepest why why in the world should we even bother doing this and I'll share that what is really a strong motivation for why I get up every day to work on this project because actually thinking is what makes us human math the way we are advocating is actually the art of thinking and reasoning we want to build a more thoughtful world thank you [Applause]

Channel: TEDx Talks

Views: 68,226

Rating: 4.9379706 out of 5

Keywords: TEDxTalks, English, Education, Achievement, Advertising, Creativity, Curiosity, Development, Digital, Education reform, Higher education, Ideas, Initiative, Math, Media, Online video, Passion, Rebuilding, Schools, Students, Teaching

Id: Kg0oVnHgj7A

Length: 13min 59sec (839 seconds)

Published: Wed Jun 13 2018