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  • MALE SPEAKER: We have a very, very special guest with us

  • today.

  • I remember reading Charlie Munger saying

  • that he didn't know a smart man who didn't read all the time.

  • And he has categorized Warren Buffett as a learning machine.

  • The inspiration from there is how does one become

  • a very effective learner?

  • What is the science of learning?

  • And reading Barb's book, that is exactly what the book

  • seems to be teaching us.

  • And I have loved reading her book.

  • Not only loved reading her book, I

  • could identify that the voice in that book

  • is the voice of a teacher, and that resonated a lot with me

  • personally.

  • So I'm very glad Barb is here with us today.

  • So without further ado, ladies and gentlemen,

  • please join me in welcoming Barb Oakley.

  • [APPLAUSE]

  • BARBARA OAKLEY: It's such a pleasure to be here.

  • And I'd like to begin by telling you

  • a little story-- another one.

  • And this story is about-- well, I think all of us

  • love to watch other people, right?

  • To some greater or lesser extent.

  • And I love people watching.

  • And so I have to tell you about this one

  • guy who was one of the most interesting people

  • I've ever watched.

  • And this was when I was working down

  • in Antarctica at McMurdo Station,

  • and this guy's name was Neil.

  • And Neil was this thin, wispy little guy

  • with kind of a high-pitched voice.

  • And he had a big head, so he looked

  • like this sort of upside-down exclamation point.

  • And what Neil used to like to do is he liked to pick up

  • the phone and answer it with a perfect imitation

  • of the 6'8" gorilla of a station manager, Art Brown.

  • So one day, phone rings.

  • Neil picks it up, as usual.

  • (IN DEEP VOICE) "Hello.

  • This is Art Brown speaking."

  • And it was Art Brown on the other end of the line.

  • So Art says, who the heck is this?

  • Or more unprintable words to that effect.

  • And Neil says, why, Art, this is you.

  • I'm so glad you've finally gotten in touch with yourself.

  • And so that's actually what we're going to do here today,

  • is to help you to get more in touch with yourself

  • and what you're doing when you're

  • doing one of the most important things

  • you can do as a human being, and that is to learn new things.

  • Now, to start, I have to tell you

  • a little bit about my background and growing up.

  • I grew up moving all over the place.

  • By the time I'd hit 10th grade, I'd

  • lived in 10 different places.

  • Now, moving around a lot like this has some benefits,

  • but it also has some drawbacks, or potential drawbacks.

  • And one of the things for me was math

  • is a very sequential topic.

  • And if you miss it anywhere along the line, right?

  • Somebody's a little bit further ahead,

  • and you're from the school where it was a little behind.

  • All of a sudden, you can actually

  • fall off the bandwagon, and then you've fallen off.

  • It's hard to get back on.

  • And that's what happened to me early on.

  • I fell off the math bandwagon.

  • Just said, I can't do this.

  • I hate it.

  • I really want nothing to do with it at all.

  • Science is the same way.

  • And so I basically flunked my way

  • through elementary, middle, and high school math and science.

  • And it's really funny, thinking back on it now,

  • because I'm a professor of engineering.

  • And I publish well in some of the top journals,

  • so I do very well as an engineer.

  • But one day, one of my students found out about my sordid past

  • as a math flunky, and he asked me, he said, how'd you do it?

  • How'd you change your brain?

  • And I thought, you know, how did I do it?

  • I mean, looking back on it, I was just this little kid,

  • and I loved animals, and I liked fluffy, furry things,

  • and I liked to knit, and I loved language and studying language.

  • And at that time, there weren't college loans

  • that were relatively straightforward to get.

  • And so I really wanted to learn a language.

  • And I couldn't afford to go to school,

  • and so how could I study language

  • in that kind of situation?

  • And there was one way I could do it.

  • I could actually go and learn a language

  • and get paid for it while I was doing it.

  • And that was to join the Army.

  • And so that's what I did.

  • I joined the Army.

  • And there you see me, looking incredibly nervous,

  • about to throw a hand grenade.

  • And I did learn a language.

  • I learned Russian.

  • And I ended up working out on Russian trawlers,

  • Soviet trawlers, up in the Bering Sea.

  • And that's me standing on a bunch of fish there.

  • I can still swear quite well in Russian,

  • although the rest of the Russian's a little rusty.

  • But I loved having adventures and gaining new perspectives.

  • And so I also ended up at the South Pole station

  • in Antarctica.

  • And that's where I met my husband.

  • So I always say, I had to go to the end of the Earth

  • to meet that man, and I did.

  • So the thing is, though, what was going on

  • was I began to realize that you know, I was always

  • interested in these new perspectives,

  • but they always sort of perspectives

  • that I was kind of comfortable with somehow.

  • You know, and having adventures, that's

  • sort of a comfortable thing.

  • But I wasn't actually kind of stretching myself

  • to really have a totally new perspective,

  • I thought back on the engineers that I'd

  • worked with, West Point engineers, who

  • were in the military.

  • And I realized that their problem-solving skills were,

  • in many ways, exceptional.

  • They could think in a way that I couldn't think.

  • And I thought, you know, what if I

  • could read these kinds of equations

  • like they could read equations?

  • What if I could, in some sense, learn the language

  • that they were able to speak.

  • Could I actually change my brain to learn in that way?

  • To learn what these people knew?

  • And so as I began to try to answer that student's question,

  • how did you change your brain?

  • I started working on a book to kind of describe what

  • some of these key ideas were.

  • And while I was working on this book,

  • I did things like I went to ratemyprofessors.com.

  • Probably a few of you who've been in schools

  • realize that that's a pretty good website.

  • And I looked to see who were the top professors worldwide,

  • teaching subjects like engineering, math, chemistry,

  • physics, economics, a lot of really difficult subjects.

  • And a lot of very relevant subjects,

  • as well, like psychology, even English.

  • How did they teach so people could learn,

  • and how did they learn themselves?

  • And I also reached out to top cognitive psychologists

  • and neuroscientists.

  • And my background also informed this.

  • I've taught for several decades as an engineering professor,

  • done active research in active learning.

  • And so all of these things kind of combined together.

  • And what I found that I thought was very interesting was when

  • I reached out to all these professors, a lot of the ones

  • in the STEM disciplines in particular-- Science,

  • Technology, Engineering, and Math--

  • used these approaches that might involve things

  • like metaphor or analogy.

  • But they were very embarrassed to say

  • that, because other professors would kind of be like,

  • oh, you're dumbing things down.

  • But it was actually something that all

  • of these top professors used to more easily communicate

  • the ideas.

  • It was like this shared handshake.

  • They all knew how to do it, but they

  • didn't realize these other top professors were

  • using the same approaches.

  • So what I'm going to tell you now

  • is I'm going to give you some insight.

  • This, these, are the key ideas related

  • to learning that all of these people have discovered.

  • So first off, we know that the brain is really complicated.

  • So what we're going to do is simplify it.

  • And you can simplify the brain's operation

  • into two fundamentally different modes.

  • First one is what I'll call focused mode,

  • and the second is what I'll call the diffuse mode.

  • And this is actually-- it relates to the default mode

  • network and other related-- there's some 24 or 25 so far--

  • neural resting states that have been detected.

  • And so all of these states altogether,

  • I'll just call the diffuse mode.

  • And what can happen-- I mean, our best

  • way to really understand these two different modes

  • is to use a metaphor.

  • And the metaphor we're going to use

  • is that of a pinball machine.

  • And a pinball machine, you all know how it works.

  • You just take the pinball and you pull back on the plunger,

  • and a ball was boinking around on the rubber bumpers,

  • and that's how you get points.

  • And what we're going to do is we're

  • going to take that pinball machine,

  • and we're going to superimpose it on the brain.

  • And you see the brain right here.

  • Here's the little ears, and there's the nose right there.

  • And what we're going to do, we're

  • going to take that pinball machine

  • and we're going to put it right on the brain.

  • And there you go.

  • There's the pinball machine on the brain.

  • And you can see how you can pull back on the plunger there,

  • and you've got all these little pinballs in there,

  • or the rubber bumpers, and they're all very close

  • together.

  • So what happens is in focused mode-type thinking,

  • like what I'm showing right here,

  • you've got these close together bumpers,

  • and you often have patterns that are already here.

  • For example, if you've already learned how to multiply,

  • and you're trying to do a multiplication problem,

  • you would sit in focused mode, and you've

  • got these patterns that are already there.

  • And you think a thought, and it takes off,

  • and it moves roughly around the rubber bumpers

  • along the pathways it's already been in before,

  • that you've developed as a consequence

  • of previous learning.

  • But what if the pattern you're trying to think

  • is something new?

  • What if you already know about multiplication,

  • but you've never encountered division before?

  • So you're trying to understand this idea.

  • Or the concept of limits in calculus.

  • How do you go at a completely new idea

  • that you've never encountered before?

  • Well, that's where this other way the brain works,

  • in diffuse mode thinking, can actually be a benefit.

  • Now, take a look.

  • Here's the representative of the diffuse mode.

  • And it's just an analogy, but it's a very good one

  • that helps us understand.

  • Look at how far apart those rubber bumpers are.

  • When you think a thought in diffuse mode,

  • the thoughts can range much more widely.

  • Now you can't think in a tight-grain fashion

  • to actually solve the particulars of a problem,

  • but you can at least get to a new sort of way

  • of thinking about things that you couldn't have gotten if you

  • were just in the focused mode.

  • In fact, sometimes, when you're trying

  • to solve a really difficult problem,

  • the worst thing you could do is just keep

  • sitting there and focusing and focusing on it.

  • Because you can be up on that part of the brain,

  • so to speak, and yet you need to be in a completely different

  • place.

  • So the best thing to do when you're really

  • stuck and frustrated on a problem

  • is not to keep focusing on it.

  • You actually need to get in a very different mode

  • of thinking.

  • And that's what's represented here.

  • And so what this means practically

  • for you is you're sitting there, you're working-- hey, get out.

  • Go for a run.

  • Go down and have a-- go take a shower if you need to.

  • Or do something that really gets your mind totally off it.

  • Because when you're in this mode,

  • as long as your attention is focused on that problem,

  • you're still in this mode, and you can't get

  • to this way of solving things.

  • So how can this play out for people?

  • If you look at this guy right here--

  • he was Salvador Dali, one of the most

  • brilliant of the Surrealist painters of the 20th century.

  • He's shown here with his pet ocelot, Babou.

  • And what Dali used to do is this.

  • He'd sit in a chair when he had kind of an intractable problem

  • with his paintings to solve.

  • He'd sit, and he'd relax, and he'd relax away.

  • And just as he'd relaxed so much,

  • you know, kind of letting his mind run free,

  • he'd have a key in his hand.

  • And just as he'd relax so much that he'd fall asleep,

  • the key would fall from his hand,

  • the clatter would wake him up, and off he'd

  • go with this new idea from the diffuse mode,

  • taking it back to the focused mode, where he could

  • refine and really use them.

  • So you might think, well, you know,

  • that's just great for artists.

  • But what if you're an engineer?

  • If you look at this guy right here, this was Thomas Edison.

  • And what Edison used to do, at least according to legend,

  • was he'd sit in a chair with ball bearings in his hand.

  • And he'd relax and relax, and then finally when

  • he'd fall asleep, the ball bearings

  • would fall from his hand.

  • And whatever he'd, in his very relaxed way,

  • been thinking about, he'd be able to take

  • some of those ideas from that mode

  • and bring them back with him to the focused mode, where

  • he could refine it, analyze, and come up with some

  • of those brilliant inventions.

  • So the lesson for us, out of all of this, is this.

  • I'm giving some exemplary innovators in various fields.

  • But whenever you're solving a problem,

  • even if it's a problem that thousands

  • or even millions of other people have solved before, for you,

  • it's the very first time that you've solved that problem.

  • And you need to use some of these same creative approaches

  • that these other brilliant thinkers have used.

  • And what you want to do, be aware of,

  • is that you can be in focused mode

  • or you can be in diffuse mode, but you can't really--

  • as far as we know, unless you're an exceptionally

  • well-trained monk-- be in both modes at the same time.

  • So focused or diffuse.

  • And you want to develop both modes.

  • Diffuse thinking is often not conscious,

  • but it is also learning.

  • And so that's why that relaxation process can also

  • be very important.

  • Now I just wanted to give you a quick image here.

  • This shows some of the brilliant connectivity of the default

  • mode network.

  • See all these connections here between various aspects

  • of the brain?

  • This is a web for one mode of working,

  • but focused mode has a very different web.

  • So if you're only focusing, you're

  • not making access or getting access

  • to a lot of the different connections that

  • are available for you.

  • That's why going back and forth between modes

  • can be so very important.

  • Now, it takes time to do this.

  • That's why you can't sit down and just

  • solve a difficult problem immediately.

  • You often have to go back and forth between the modes.

  • And in some sense, you can almost think of it

  • like this is a weight-lifter.

  • And a weight-lifter, he doesn't cram the night

  • before a big meet and build muscles like that.

  • It takes time to develop those muscles.

  • In the same way, it takes time to develop the neural scaffold

  • that is involved in learning and in new thinking processes.

  • But I know what you're really thinking.

  • You may be thinking, I'm a procrastinator.

  • I wait.

  • Sometimes I don't, like, have time to do stuff, right?

  • And so let's talk a little bit about procrastination.

  • And sometimes you can be a really effective human being

  • but still procrastinate about some things.

  • And so in that sense, there are things

  • to learn to help improve your productivity

  • and your effectiveness in what you do.

  • So procrastination arises in a very interesting way.

  • Studies have shown that if you look at something you

  • don't like, the pain centers of your brain actually activate.

  • So if you look at a book for a subject you don't like,

  • you can actually feel a twinge, and we can see it in the brain,

  • if you're being imaged.

  • So what do you do when you feel pain?

  • I mean, it's the same pain as when you hammer

  • your thumb with a hammer.

  • Well, you have two different ways of handling it.

  • The first way is you can work through it, like 20 minutes

  • or so, and the pain will gradually disappear.

  • But if you're like most people, what you'll do

  • is you'll just kind of turn your attention away to something

  • more pleasant, and guess what?

  • You'll feel better immediately, right?

  • And so in some sense, procrastination

  • can actually be a little bit like an addiction.

  • You do it once, you do it twice--

  • it's not that big a deal.

  • You do it a lot of times, though,

  • and it actually can be very, very detrimental for your life.

  • So I'm an engineer.

  • I believe in totally practical, useful things.

  • So what I'm going to do is cut right to the chase

  • and say here's the most effective way

  • to help you deal with procrastination.

  • And it is simply to use the Pomodoro Technique.

  • And this is a technique that was developed by Francesco

  • Cirillo in the 1980s.

  • And it involved-- he called it the Pomodoro Technique

  • because he had a tomato-shaped timer,

  • and pomodoro is Italian for tomato.

  • And what he would do is he would--

  • he recommends you set a timer for 25 minutes.

  • Actually, you can have different times.

  • Different time lengths are useful for different people.

  • But you set it, in general, for 25 minutes,

  • and then you turn off everything else.

  • So no alarms, no instant messages-- anything

  • that can disturb your concentration,

  • you turn that off.

  • And then you work with as careful a focused attention

  • as you can for those 25 minutes.

  • Now sometimes, I'll be working away, and I'll think,

  • am I really focusing as hard as I can?

  • And then I think, well, obviously not,

  • because I just got distracted, and I'm

  • wondering whether I'm focusing instead of actually working.

  • But I let that thought just drift by,

  • and then I get back to my work, right?

  • And that's what you're doing in this technique.

  • You want to just keep your mind on your work.

  • And what happens is because you're only

  • focusing on the task and the time, and not the pain of "I

  • must complete this task," it somehow makes it so much easier

  • to do.

  • I mean, anybody, virtually anybody,

  • can sit for 25 minutes and work.

  • And then when you're done, you reward yourself.

  • And that reward is actually very important.

  • Because what you're doing is you're

  • focusing during the focused mode,

  • but then you want to train yourself to relax, and enjoy,

  • and do something different.

  • Just surf the web, go out for a-- whatever floats your boat,

  • you go off and do that.

  • And this, actually, is important.

  • Because we know that some aspects of learning take

  • place during this relaxed process.

  • So your tendency is to think, I'm not

  • working when I'm not focusing.

  • But you actually are.

  • So it kind of gives you a little bit

  • of a feeling of relief and accomplishment

  • that is OK to relax.

  • So a couple of little pointers.

  • First, don't sit down and do a Pomodoro and say,

  • you know, I'm going to finish off my work.

  • Don't focus on the task.

  • Only focus on the time.

  • And that's the trick to this technique.

  • Because it gets you past that pain in the brain

  • and allows you to just relax comfortably and get

  • into the flow of the task.

  • The other thing is don't say, OK,

  • I'm going to do 20 Pomodoros today,

  • and think that you're going to beat yourself into more

  • productivity that way.

  • You want to just gradually start getting used to this technique,

  • and you'll see that it works very, very well.

  • Now another aspect that's really important, related to learning,

  • is we've also been told, hey, sleep's

  • really important before a big test or something like that.

  • Actually, sleep is important in a lot of different ways.

  • And I'm going to talk to you, just

  • mention a little bit of one of the primary important reasons

  • that sleep's important for learning.

  • We've found that if you look at the cells--

  • these little circles here represent

  • cells, neurons, in the brain.

  • And what happens when you go to sleep is this.

  • Well, when you're awake-- first, when you're awake,

  • these metabolites will come out, and they'll

  • go in between the junctions.

  • And they kind of sit out there, and they're essentially

  • toxins in your brain.

  • So when you're awake, these toxins

  • are gradually accumulating in your brain.

  • And they affect your judgment.

  • That's why, when you stay awake a longer and longer time,

  • it's more and more difficult to think clearly.

  • So when you go to sleep, though, here's what happens.

  • Now watch very carefully to what happens to those cells.

  • You go to sleep, they shrink.

  • I'll do that again, because I just

  • have so much fun doing this.

  • See?

  • They shrink when you go to sleep.

  • And because they shrink, what that does

  • is that allows fluids to wash by the cells

  • and wash these metabolites out.

  • So a very important part of sleep

  • is just the housekeeping, the cleaning

  • that takes place, that allows your brain to function

  • so much more effectively.

  • Now, another very important aspect of sleep

  • relates to neural synaptic growth.

  • In this wonderful paper by Guang Yang -- she's out of Langone--

  • is if you look at the top picture,

  • you can see here what's going on.

  • This is the same neuron at the top and the bottom.

  • The top neuron is before learning and before sleep.

  • The bottom neuron is after learning and after sleep.

  • All of these little triangles or new synaptic connections.

  • And so when you learn something and you go to sleep,

  • that's when the new synaptic connections are forming.

  • And this is what's going on when you're learning.

  • So that's why it's very important, when you're

  • learning something new-- again, you

  • don't want to cram at the last minute.

  • You want to have many short learning periods, sleep,

  • learning, sleep, and that's helping

  • you build that neural scaffold that

  • helps you learn so much better.

  • So there's another aspect of learning,

  • and people often think this is so completely disconnected

  • from real learning that they even are taking away

  • recess from kids.

  • Because they're like, oh, that doesn't help them learn.

  • Only when they're sitting in front of us, learning from us,

  • that's when they really learn.

  • But that's not true at all.

  • We're now finding how incredibly important exercise

  • is to the learning process.

  • Now if you look here, this study was is of a mouse,

  • and they were training this mouse

  • to differentiate between two different symbols.

  • And if you look in the background, what's happening

  • is all of these blue blobs are old neurons.

  • Now we used to think you are born with all the neurons

  • that you have, and that's what you

  • got for the rest of your life.

  • Well, of course, now we know that's not true.

  • But it was wisdom, received wisdom, for many decades.

  • And so what they found was-- see these red lines here?

  • Those are actually the new neurons

  • that are being born every day in all of us,

  • as well as in this mouse, in the hippocampus.

  • And that is how-- those are absolutely

  • essential to our ability to learn and remember

  • new information.

  • There's two ways to allow these new neurons to grow

  • and survive.

  • One is you get exposed to new environments.

  • That's why travel can be so good.

  • That's where your learning can be effective.

  • And these kinds of things can help those new neurons survive.

  • But the other way of helping these neurons survive

  • that's just as powerful as learning is simply to exercise.

  • So exercise is profoundly important.

  • And I'm not talking, hey, I've got

  • to be an Olympic weight-lifter, or be a marathon runner.

  • Even simple walking can be very, very effective.

  • And I'm sure you've all had the experience.

  • You're all muzzy-brained, and then you go out for a walk,

  • and it clears up your way of thinking.

  • But even a few days of an exercise program

  • is doing much more than that.

  • It's actually enhancing the ability of your neurons

  • to grow and survive.

  • Now, if you look, there's a name right here, Terrence Sejnowski.

  • He was on one of the original papers doing

  • this original research.

  • He's the Francis Crick Professor at the Salk Institute,

  • and she's also my colleague in doing the Massive Open Online

  • Course that's based on the book.

  • And Terry is-- he's a remarkable guy.

  • And it was really a lot of fun making the Massive Open Online

  • Course with him.

  • And so we went and we did some filming together.

  • And so then I asked him, I said, well, Terry, you know,

  • you're talking all this stuff about the importance

  • of exercise.

  • Do you exercise?

  • What do you do?

  • And he's like, do I exercise?

  • And what he does is he goes and every day, or every few days,

  • he goes down-- he's like a mountain goat.

  • The guy's 65, and he climbs down.

  • You know, I'm scrambling after him.

  • And he goes running on the beach, just like you see here.

  • And this is how he gets his exercise.

  • I love how he finishes here.

  • Watch this.

  • [LAUGHTER]

  • Look at that.

  • So he is a legend in neuroscience.

  • And I'm convinced that part of it

  • is because he uses some of these ideas

  • that he's found in his research to help him really

  • keep his edge intellectually.

  • Now, so let's just talk a little bit about something

  • called working memory.

  • Working memory is how you keep a brief thought in mind.

  • It used to be thought that you had

  • seven slots in working memory, and that's

  • why you could hold a phone number of seven numbers.

  • But now we're kind of realizing it's more like maybe there's

  • four slots in working memory.

  • So maybe for me, it's like two slots in working memory.

  • But anyway, so you have four slots,

  • and it in your prefrontal-- you can kind of think of it

  • as your working memory, you're holding things

  • in your prefrontal cortex.

  • So I've got it kind of symbolized right there

  • as your four slots of working memory.

  • So when you are remembering something,

  • are thinking about something with working memory,

  • you can think of it symbolically,

  • at least, as something like an octopus, the Octopus

  • of Attention, that reaches through those slots

  • of working memory and makes connections

  • between different ideas.

  • And that's why you can't hold too many ideas at once

  • in your brain before you get all confused.

  • But what happens if you're multitasking?

  • What happens if you've kind of got a little bit of an eye

  • out here on some, you know-- am I getting an instant message?

  • In some sense, that's like taking one of those tentacles

  • away of your working memory.

  • And you don't have a lot of tentacles.

  • So it really is kind of actually making

  • whatever intellectual heft you have,

  • you're kind of losing some of it.

  • You're getting a little stupider when you're multitasking.

  • So that's why careful focused attention is so incredibly

  • important, especially when you're working on something

  • that's rather difficult.

  • Now, I just like to contrast this with the diffuse mode.

  • The diffuse mode, it's a lot of connections,

  • but they're much more random in how they take place.

  • So how do you take something from working memory

  • into long-term memory, which is more distributed around

  • in your brain?

  • Well, the best way is through practice.

  • Practice makes, in some sense, permanent.

  • The more you practice, the broader that little neural

  • pathway becomes, and the more deeply embedded it becomes.

  • So if you're learning something and you practice,

  • those patterns get deeper and deeper.

  • And that's how you can learn something and draw it

  • from long-term memory into working memory.

  • If you don't practice, what's going to happen

  • is you've got those neurons, and it's almost

  • like you've got these little metabolic vampires that just

  • come and they suck those patterns away

  • before they can get deepened.

  • And so that's why sometimes you can learn something

  • from a professor-- you even understand it.

  • You've had that great stroke of insight.

  • You walk away.

  • You don't look at it for a few days,

  • and those little metabolic vampires just

  • suck that pattern away.

  • And you can't really remember or understand

  • what you had learned previously.

  • So the best way to get patterns well-embedded

  • in your long-term memory is to practice

  • through spaced repetition.

  • So you might practice Monday, Tuesday, Wednesday,

  • maybe again on Friday.

  • And by spacing things out, you realize, now,

  • that you're getting those new synaptic connections growing

  • every time you learn a little and then you sleep on it.

  • What you don't want to do is this kind

  • of thing, where you're just kind of cramming like crazy.

  • And then look, that metabolic vampire just

  • kind of sucks at all away, and you're left with very little.

  • It's hard to remember what you were learning.

  • A good way to think about this is just the analogy of a wall.

  • If you're building a brick wall and you give yourself

  • time between layers of mortar, it can set,

  • and you can build a solid, sturdy wall.

  • But if you don't, it's all kind of a jumble.

  • And it doesn't turn into a really good structure

  • that you can actually use.

  • So let's go back again, and we're

  • going to talk a little bit more, quickly,

  • about attention, and the relationship with working

  • memory.

  • Now, if you look here, you can see

  • you've got one slot in your working memory that's filled.

  • When you have one slot filled, you could put other things

  • in your working memory.

  • But here's the trick.

  • How do you get things into just one slot?

  • It turns out that if you create a chunk, one chunk,

  • of the material, it's easy to pull into working memory.

  • So here's what I mean by that.

  • If you look here, here's a raw pattern of information, right?

  • It's a puzzle.

  • It's hard to figure out.

  • It looks like a mad scramble.

  • And look what's going on in your working memory.

  • It's kind of going a little crazy,

  • trying to figure things out.

  • In fact, recent research at Stanford

  • has shown children who are trying to learn math facts,

  • their little prefrontal cortexes are going crazy

  • as they try to assimilate and master the material.

  • But once they've got those math facts down, this relaxes.

  • What's actually happening is this.

  • They've got the essential idea, and what that essential idea

  • is like is one smooth, single ribbon they can easily

  • pull into working memory when they need to,

  • in order to understand and make connections with other problems

  • that they're trying to solve.

  • Now, if you just memorize and you're not

  • understanding what you're memorizing,

  • that's like creating that little circle there.

  • And you can see it.

  • You've got it.

  • It really is a chunk.

  • But you can't fit it very well with other chunks.

  • So there's another important idea about chunking,

  • and that's this.

  • Once you've compressed an idea-- one of the most brilliant

  • mathematicians was mentioning one

  • of the great aspects of math is simply that idea

  • that you can compress it.

  • You grapple, grapple, grapple, and all of a sudden, it clicks,

  • and you've got it compressed.

  • Once you've got it compressed in a chunk,

  • there's actually-- you can make that chunk bigger, right?

  • Just like learning a little piece of song?

  • You can actually learn another piece and join them together,

  • and you've got a bigger chunk.

  • Or you can also learn similar chunks of other disciplines,

  • and it's very, very helpful.

  • That's an idea of transfer.

  • But what you're really doing when

  • you're learning and mastering a topic

  • is you are, in some sense, creating a library of chunks.

  • And you can draw on that library and make

  • connections between things.

  • And that's how great creativity arises,

  • is making connections with those chunks.

  • So true experts often have enormous libraries of chunks

  • that they've developed.

  • Now, when you're learning, there's

  • sort of a-- you can think of it as there's a top-down approach.

  • So if you're learning a new topic,

  • you can almost think of it like there's a chunk there,

  • that's that tire, and here's a chunk that's the man's face,

  • and another tire.

  • So you're learning all these chunks,

  • and when you get them all kind of learned,

  • it forms the big picture of the material.

  • Even if you're missing a few pieces here and there,

  • you've still got that big picture.

  • But if you don't practice and repeat and really master

  • your chunks, it's like this.

  • It's like you're trying to put together the big picture

  • with chunks that are faint.

  • And it's much harder to put together the big picture

  • with that in mind.

  • So again, as I was saying, you've

  • got one ribbon of thought.

  • That's a chunk.

  • Here is another chunk in another field,

  • but it's of a similar shape.

  • And that's the idea of transfer.

  • So if you're a physicist, you may

  • be able to learn economics more easily,

  • because some of the chunks are really similar in their shape.

  • If you are a language learner and you're

  • learning math and science, there are meta-chunks available.

  • For example, that idea of practice and repetition

  • for language also applies in learning math and science.

  • So let's go to some other aspect that I

  • think relates to learning.

  • Some of you may say-- so of you may

  • have wonderful memories here.

  • But some of you may wish you had better memories.

  • Well, let me kind of give you a little awareness.

  • What you think may be a negative attribute

  • actually can be a very, very positive attribute.

  • It turns out that when you have a poor working memory, what

  • that really means is you can't hold things in mind

  • very well, right?

  • So you're looking at your colleague who can remember

  • all this different stuff.

  • They can hold it in their working memory,

  • turn somersaults with it, and come up with new ideas really

  • quickly.

  • And you're lucky to remember what

  • they were even talking about.

  • But here's the thing.

  • Research has shown that if you have a poor working memory,

  • and your four slots are pretty weak,

  • other stuff is always slipping in.

  • That's why you can't hold ideas very well in your mind.

  • But because the other stuff is slipping in,

  • you're actually more creative.

  • And research has shown that if you have Attention Deficit

  • Disorder, or your attention wanders-- oh, shiny!

  • Then what that means is you have much more

  • potential for being creative.

  • Do you have to work harder than some other people

  • in order to make up for that?

  • Yeah, you do.

  • But that comes with the trade-off

  • that you are highly creative.

  • So you can be very, very valuable in your job,

  • even though you may have to work harder sometimes

  • to have that achievement.

  • Now, you may say, well, that's all well and good,

  • but I'm actually a slow thinker.

  • I see these other people, and they've got like a super race

  • car brain.

  • They can pick up these ideas so fast,

  • and I kind of move along more slowly.

  • Well, one of my heroes in the history of science

  • is the Nobel Prize winner Santiago Ramon y

  • Cajal, who's known as the father of modern neuroscience.

  • Ramon y Cajal was not a genius, and he said so himself.

  • Part of what he did was he worked hard and was persistent.

  • But he said, these with race car brains--

  • which he was not-- often race along

  • and they jump to conclusions that he didn't miss.

  • He would see them, and he was more flexible in his thinking.

  • When he'd see a mistake, he would go, wait a minute.

  • Whereas the race car driver is so used

  • to being right and being fast that they're much less

  • able to be persistent and to flexibly

  • change in the light of contradictory data.

  • So if you have a slow brain, think of it like this.

  • There's the person with the race car brain.

  • Great.

  • But you're the hiker, and your experience

  • is completely different.

  • You walk along.

  • You can see the little rabbit trails that they've missed.

  • You can reach out and touch the pine needles.

  • You can smell the pine forest.

  • All of this is missed by the race car driver.

  • So your way of thinking can be exceptionally valuable,

  • as well.

  • In fact, Maryam Mirzakhani, she won the Fields Medal,

  • which is the top award in mathematics,

  • the equivalent for mathematics of the Nobel Prize.

  • And she was told as a young person,

  • you think too slowly to be a mathematician.

  • Well, guess what?

  • She's one of the most creative mathematicians alive.

  • So if you think slowly, more power to you.

  • You're doing good.

  • Now, I also want to bring up another aspect,

  • and that is the aspect of the impostor syndrome.

  • This is so important and so common.

  • And what it is, it's a feeling like you're

  • the fake in the room, right?

  • I'm working here?

  • Maybe I'm working at Google and I'm really not

  • as good as they say that I am, and I'm kind of an impostor

  • here.

  • And people feel this all over the world,

  • no matter what they're doing.

  • You're a professor?

  • Oh, wait a minute.

  • You know, they're going to find out what the real truth is.

  • I took a test, and I did well.

  • But next time, I'm gonna fail it,

  • because I know they'll find out what the real truth is.

  • Really, really common feeling.

  • And the best way to address the impostor syndrome

  • is to just be aware how common it is.

  • So next time you have a thought like,

  • I'm really not as good as they say

  • I am, remember, that's the impostor syndrome talking.

  • And probably one of the most important things

  • that I could bring up-- and so that's

  • why I'm doing it towards the end here--

  • is this idea of illusions of competence in learning.

  • Now, let's say that suddenly, for some reason,

  • a bear came hurtling out of this screen

  • and rampaging through the room.

  • Would you feel a surge of adrenaline and nervous energy?

  • I mean, suddenly your body would react physiologically

  • to this feeling of intense fear as you realized the bear was

  • actually in front of you.

  • But the thing is, when you think about learning situations--

  • we often say, students will come up and say,

  • you know, I have test anxiety.

  • That's why I didn't do well on this test.

  • But for a lot of students, sadly,

  • sitting down and looking at a test

  • is like there's a bear there.

  • They just realized, at that moment,

  • that they really didn't know the material,

  • even though they thought they did.

  • So students, and people, can fool themselves

  • that they're learning something when they're actually

  • not learning something.

  • So I'll give you some of the best ways for truly learning

  • something.

  • First off, tests are the best.

  • Test yourself on everything, all the time.

  • The same hour spent testing as opposed

  • to that hour spent studying, you will learn far more

  • by taking a test.

  • And use flashcards.

  • Flashcards are not just for language learners.

  • Why let them have all the fun?

  • Flashcards are for ordinary-- for learning in math

  • and science, for example.

  • If you talk to great poets, what great ports will tell

  • you is memorize the poem, because you'll

  • feel the passion and the power of the poem much more deeply.

  • Why should mathematicians not be able to share in this fun?

  • How about engineers?

  • When we have equations, if you memorize the equation,

  • and really look at what does it mean while you're doing that,

  • it actually can bring out the richness

  • of what you're learning.

  • And the thing is when you're having homework.

  • Homework-- a lot of times, people

  • make the mistake of thinking, hey,

  • you know, I did my homework problem.

  • And it's like saying, I'm learning the piano

  • and I played this piano piece one time, and so I've got it.

  • Well, nobody does that when they're

  • learning a musical instrument.

  • And in the same way, when you're studying,

  • you don't want to just do a homework problem once.

  • You don't have time to do all of them

  • and kind of repeat them, but pick some of the key ones

  • and see if you can do it again.

  • Like practice it, and maybe do it in your mind.

  • Can you step through all the steps?

  • If you can play it almost like a song in your mind,

  • you've really got it.

  • You've got it down as a chunk, and that

  • can help build your knowledge of the material.

  • Now, probably the most valuable technique

  • when you're trying to really understand something difficult

  • is simple recall.

  • When you're reading material on a page, you read away,

  • and your tendency is to-- well, I'm

  • going to underline it, right?

  • Because when you're hand is moving on the page,

  • you think it's moving it into your brain somehow.

  • But it actually is not.

  • So resist the urge.

  • You can do a little bit of underlining.

  • But it's better to write it, because you're helping

  • to neurally encode these ideas.

  • And then when you read the page, simply

  • look away and see what you can recall.

  • That, as it turns out, is very powerful in building

  • your understanding of the material in a way

  • that other techniques, including mind mapping and re-reading--

  • they're not nearly as good as recall.

  • So another very important aspect is simply

  • to study judiciously with other people,

  • or talk about what you're trying to understand

  • with other people.

  • Now, this has to be done judiciously.

  • Obviously, all learning does not take place

  • in a cooperative fashion.

  • Sometimes you have to go off.

  • But when you're learning something sort

  • of in focused mode, there's a part-and-parcel

  • of that focused mode, and that is a feeling

  • that what you've just learned is correct, right?

  • This sort of rightness feeling.

  • And the only way you can really disabuse yourself, sometimes,

  • is to go off and bounce your ideas off of other people.

  • And they can almost serve like a greater kind of diffuse mode,

  • to help disabuse you when you do make mistakes.

  • So judicious studying with friends and conversation

  • with colleagues can be incredibly helpful.

  • Also, explain in a way that a 10-year-old can understand.

  • So frequently we explain electricity,

  • the flow of electricity, as water, the flow of water.

  • It's an analogy.

  • It breaks down.

  • All analogies break down.

  • But Richard Feynman, the Nobel Prize-winning physicist,

  • used to go around and challenge top mathematicians in the world

  • to explain in a simple way, like in a way

  • that their grandmothers could understand,

  • what they were doing.

  • And you know what?

  • They could.

  • So this means that no matter how difficult

  • that problem is that you're working on,

  • if you find a way to explain it simply,

  • you'll be able to understand it much more deeply.

  • One thing to do is insert yourself

  • into whatever the problem is.

  • Like, here I am in a copper matrix, right?

  • Barbara McClintock, the Nobel Prize-winning geneticist,

  • used to kind of imagine herself down at a genetic level,

  • so she could understand and see how the genes might actually

  • be operating.

  • So that's a trick that's often used by some of the greatest

  • thinkers.

  • Try to find a way to get yourself

  • into almost like a play, whatever

  • you're trying to understand.

  • If you want some more information about what

  • I've talked about here, there's much more in the book,

  • "A Mind For Numbers."

  • And there's a lot more-- and it's all

  • free-- in the Massive Open Online

  • Course for Coursera, through UC San Diego, Learning

  • How to Learn.

  • And that is the key, except for one thing.

  • I'd like to leave you with this last thought.

  • We're often told, follow your passion.

  • That is the key to everything.

  • Just follow your passion, and your life will really

  • be a better place for it.

  • We're told that.

  • But some things-- your passion develops

  • about what you really good at.

  • And some things take much longer to get good at.

  • So don't just follow your passions.

  • Broaden your passions.

  • And your lives will be greatly enriched.

  • Thank you very much.

  • [APPLAUSE]

  • MALE SPEAKER: Thanks, Barb, for the fantastic talk.

  • Now we'll open it up for a few questions for Barb.

  • Please raise your hand if you have a question,

  • and I'll bring the mic over to you.

  • AUDIENCE: So one of the questions

  • I had was that, you know, whenever learning things

  • and tackling tough problems, people always

  • say, well, break it down into smaller parts

  • that you know how to do.

  • And so I wondered how that fits into the focused and diffuse

  • mode.

  • Because that seems kind of like breaking a diffuse problem

  • into a bunch of focused problems.

  • BARBARA OAKLEY: Actually, what that really relates

  • to is that idea of chunks.

  • So remember that you've got four slots in working memory.

  • The more you can understand one simple part of it

  • and make it into a chunk, and then

  • another little aspect of it, and make that

  • into a chunk, and then another one,

  • so you're focusing to do that.

  • And then in diffuse mode, you reaching up above

  • and making the connection randomly,

  • when you're sleeping, out for a walk, taking a shower,

  • all these kinds of things.

  • So they all are related, but actually, that's great advice.

  • If you try to learn it all at once, it's so overwhelming,

  • it's like your little prefrontal cortex is scrambling madly,

  • but it's overwhelmed.

  • So you want to just get a piece of it,

  • so you can draw that up as a ribbon.

  • Very good question.

  • AUDIENCE: A chunk requires understanding.

  • So when there is a chunk, that means

  • that there was an experience of understanding that led to that?

  • BARBARA OAKLEY: Not necessarily.

  • You can learn a word in a language,

  • and you can not know what that word means.

  • And you can learn a lot of words in a language,

  • but not know what that means.

  • But if you do know what they mean,

  • it actually can make it easier to remember that word,

  • and easier to chunk that word.

  • And easier to use those chunks, to put together sentences.

  • So for the most part, we always want

  • chunking to involve understanding, as well.

  • But technically, no.

  • You don't have to have understanding.

  • It's just that understanding helps to kind of knit things

  • together so that you can remember them more easily.

  • For example, if I'm trying to learn the word duck as "pato"

  • in Spanish, if I'm just going "pato,"

  • I'm trying to remember that word,

  • I don't have any understanding of what it means,

  • it's kind of harder to remember.

  • But if I know that "pato" means duck, I can say,

  • what if I'm trying to remember it by having a little "pot-o"

  • that my duck is floating in, and that can help,

  • that understanding, help serve as a bridge to get it

  • into my mind.

  • So that's a really good question, because people often

  • think, oh, you build a chunk, it's

  • automatic that you understand it.

  • Not necessarily.

  • But it's a very good thing to have, for the most part.

  • I

  • AUDIENCE: I wanted to ask-- we've

  • mentioned that people who've mastered one area

  • can find it easier to learn another area,

  • because they're related chunks.

  • BARBARA OAKLEY: Depending on how close the area is.

  • If you learn Icelandic, you're probably

  • going to be able to learn German more easily.

  • But it may help a little bit with some

  • of the metacognitive skills, as far as

  • when you're learning Chinese, but they're

  • so very different that it's only those metacognitive sort

  • of things that might help with learning.

  • And there's still a little bit of an aspect of fundamental

  • "how do you structure a language" that I think

  • is common to all languages.

  • So it depends on how close things are.

  • But what I think is fascinating is that you never know.

  • That's why it's so important to have

  • people coming from one field to a very different field, right?

  • You're a deep sea diver, and you go into nursing.

  • And you actually can bring some really good ideas.

  • And the best ideas are often developed

  • by two different types of people.

  • One is someone who's very young, so they

  • haven't been sort of indoctrinated

  • into "this is how you think."

  • But the other is outsiders, people

  • who are trained in a different discipline, who come and take

  • an initial look and have fresh eyes at what they're seeing.

  • So, good questions.

  • AUDIENCE: Thanks.

  • AUDIENCE: Maybe a more practical thing.

  • I'm curious about your opinion, if you're

  • familiar with the Everyday Math curriculum which

  • a lot of schools are teaching now, which, for example,

  • my kids take.

  • And for example, when they teach math,

  • they emphasize getting sort of almost

  • like a number theory feel.

  • Like they learn, like, four different ways

  • to multiply instead of one, you know, the way we learned.

  • And so for example, my kids, they're

  • incredibly confused by this.

  • I'm just wondering if you're familiar with it.

  • If you have-- how does it fit into this,

  • and if you think that's-- have opinions.

  • BARBARA OAKLEY: It's different in different parts

  • of the country.

  • And so I'm out of Michigan.

  • We have different techniques.

  • It depends.

  • I think it depends on the kids.

  • For some kids, it's great to learn

  • all these different techniques.

  • For other kids, you know, just get one method

  • down really well, and then you can climb up from there.

  • My own personal opinion is one of the best

  • math supplement programs is simply Kumon Mathematics.

  • And I'm not a paid spokesperson for Kumon Mathematics.

  • But what they do is they have simple methods of practice

  • and repetition to help build mastery

  • in your learning of mathematics.

  • And they don't give you a bunch of different methods.

  • They just make sure you know how to multiply.

  • You know how to divide.

  • And you really know how to do these things.

  • So I guess my gut sense, and I haven't really

  • encountered that question before,

  • is I think I'd prefer to see someone really learn it well

  • using one technique.

  • When you're older, you can see other ways.

  • But if you've got that one way really good, you got it,

  • and you can move up.

  • But if you're learning too many, it can be quite confusing.

  • I suppose it would be the equivalent of you're

  • growing up learning eight languages at once.

  • You know, some kids can handle it.

  • But for a lot of kids, it might be a little bit confusing

  • to have too much going on at one time, especially about

  • one thing.

  • AUDIENCE: I have a question around reading,

  • and not like math or something, but if I'm

  • reading, say, a philosophy book by Nietzsche or Heidegger,

  • for example, which is 400 pages long.

  • And I'm a slow reader.

  • And I'm assuming I'm a very focused reader,

  • because I do grasp and retain what I have read pretty well.

  • But I'm incredibly slow.

  • So do have any methods to figure out how to be a fast reader,

  • but at the same time, be able to retain

  • and deeply grasp what I'm reading?

  • BARBARA OAKLEY: The short answer is no.

  • Research has lately shown that techniques for speed reading

  • are actually-- they're a little bit, it seems,

  • somewhat spurious.

  • To read anything difficult more deeply simply takes time.

  • I always think, in the back of my mind,

  • STEM disciplines-- Science, Technology, Engineering,

  • Math-- is really difficult for a lot of people.

  • But then there's philosophy.

  • That's, I think, one of the hardest things in general

  • for people to really grasp.

  • It's incredibly important, but it's difficult.

  • And I think just having a little understanding and compassion

  • for yourself, that you're actually

  • tackling among humankind's most difficult topics.

  • And if it's slow, well, you're doing fantastic.

  • Because I would be the same way.

  • And I think a lot of people are really the same way.

  • There's some probably super-fast Maserati brain thinkers

  • who could buzz right through that stuff.

  • But they would miss things that you would see.

  • AUDIENCE: I've been wondering how your techniques apply

  • more generally to kids.

  • And you briefly touched, actually,

  • on a previous question, practice and repetition, practice

  • and repetition.

  • But more concretely, how do you get, actually,

  • kids interested in mathematics, so

  • that they keep on practicing?

  • BARBARA OAKLEY: The way that we've

  • been teaching kids is, it's like,

  • let's give them introduced to the fun stuff.

  • We're going have them hands on, and we're

  • going to have them dropping eggs, and doing

  • all this exciting stuff.

  • And then they get to college, and they hit calculus,

  • and it's like the death march, right?

  • They start dropping like flies.

  • Because they're not used to that.

  • Everything's always been fun, right?

  • So we don't do that when we're teaching things like music.

  • We don't do that when we're teaching foreign languages.

  • But students fall in love with those subjects

  • because they can gain the expertise-- in part

  • through some drudging through practice and repetition.

  • So I think part of the reason that we

  • have so many kids in this country fall off the bandwagon

  • is we try to make everything really exciting and really fun.

  • And we forget the lessons that language learners

  • and musicians, and sports, people in sports,

  • dance instructors-- they all know

  • that practice and repetition is part of gaining expertise.

  • And when we get that incorporated back

  • into the curriculum-- it's there,

  • but it's not nearly as sound as it is in many other countries.

  • Which is why I think we see so many people coming

  • to this country with a love and a mastery of learning

  • in science and in mathematics that is not growing

  • organically, because we're not introducing kids in the United

  • States to some of these ideas of also,

  • the supplemental importance of practice and repetition.

  • So those are my thoughts.

  • We do do a little bit of it, but really not enough.

  • Because for a long time, sadly, there's

  • been this feeling that too much practice and repetition

  • in mathematics will kill your creativity.

  • Instead of the reality, which is every great expert

  • has to have practice and repetition

  • with what they're learning.

  • So those are my thoughts on that.

  • AUDIENCE: Thank you.

  • AUDIENCE: Hi.

  • So understanding is important, and context is important.

  • And speaking of that, so there could be like top-down approach

  • and bottom-up approach.

  • So what do you think is better?

  • Is it better to understand the big picture

  • and then try to study subject?

  • Or it's better to study the small chunks

  • and build this understanding from--

  • or maybe we have to mix it?

  • BARBARA OAKLEY: You've got it exactly right.

  • You don't want to be just doing small things all the time.

  • And you don't want to be perched overhead all the time.

  • You want to be-- it's hard to get what is the big picture

  • when you're-- you learn one little chunk and you learn

  • another little chunk.

  • But you want to start piecing that into the big picture

  • as much as you can.

  • And so you want to be kind of going back and forth.

  • One of the techniques that I didn't talk about,

  • that's very important, is that of interleaving.

  • And a lot of times, when you're learning, for example,

  • some new technique in calculus, you'll

  • do 10 problems pretty much the same,

  • in learning that technique in calculus.

  • But you don't want to do that.

  • You want to do one or two problems using that technique.

  • Flip to another section of the book.

  • Do that problem.

  • Kind of compare-- wait a minute, why

  • am I using this technique here and that technique here?

  • Why are those different?

  • Flip back.

  • Do another one of the first technique.

  • Then flip to a different-- we're not

  • training people-- we don't even have our books set up

  • to interleave.

  • And we need to start doing that, because that's

  • what actually-- it's practice of repetition,

  • but mixed with interleaving, that builds flexibility.

  • So those are my thoughts on that.

  • Good question.

  • AUDIENCE: Like when I was in high school and college

  • and taking math, I was perfectly fine.

  • Like I did well, and did well on the tests.

  • But my problem was always trying to apply it

  • outside that environment, like trying

  • to use it practically or in everyday life,

  • or whatever it was that I needed certain math skills.

  • I just could never do it.

  • And I was wondering if you had any sort of technique

  • or strategy or ideas about how there's a way

  • to take math from the school and sort of be

  • able to apply it in regular life,

  • or just outside of school.

  • BARBARA OAKLEY: That's a very good question.

  • One of the things that people do, they look at math

  • and they say, how am I ever going to use this?

  • In fact, I remember when I was called

  • into the principal's office in eighth grade,

  • because I wasn't doing my math.

  • I was actually reading a book.

  • And so I remonstrated with the principal,

  • saying that there was no real use for it.

  • I would never use it.

  • And they gave up on me, at that point.

  • But it's kind of like this.

  • When you're at the gym and you're

  • lifting a specific type of weight,

  • are you ever going to go into the outside world

  • and lift that kind of weight?

  • Of course not.

  • But you're actually using muscles

  • that you might use related muscles when you're lifting up

  • your luggage to get in and put it in the airline compartment.

  • So what you're doing when you're learning something

  • in math and science is you're developing

  • sort of neural pathways.

  • You may not use exactly that one, but in surprising ways,

  • they can shape how you're thinking about things.

  • So an example is this.

  • They did a study, and they found, you know,

  • there's some kids who go all the way through college.

  • And you can kind of take courses that have almost no math,

  • really, involved.

  • You know, math for poets, or i these kinds of courses.

  • And you go all the way through.

  • But people who have this kind of background,

  • where they've had very little exposure, when you control

  • for all aspects of what's going on that you can reasonably

  • control for, the ones who have no real background in math

  • are far more likely to default on their home mortgages.

  • So you know, think about that.

  • But it's actually, you're able to think more intelligently.

  • Now, what about-- you're really concerned

  • about the environment.

  • So someone comes up and says, well, we've

  • got to have electric cars.

  • Sounds really good, right?

  • But if you're trained, you've got some kind of background,

  • you could go, yeah, but wait a minute.

  • What about the effect of batteries

  • on the environment, right?

  • Do they actually make more pollution?

  • In fact, does that transfer of energy

  • create more harm for the environment

  • than a regular gasoline engine?

  • If you're taught to think a little bit more rationally

  • and carefully about things, you can actually--

  • you're using those intellectual muscles in ways

  • that you haven't really-- you don't really

  • realize how important that actually is.

  • So one way, though, just reflecting,

  • just a little bit of a different way,

  • because your question's very deep.

  • When you're learning a language, one of the things you do

  • is you're learning, you're practicing.

  • And it can be really tough to actually go and meet

  • somebody and talk with them, who speaks that language.

  • But that real life experience is what brings the language alive,

  • and what nourishes the desire to learn it.

  • So I think finding ways-- when you're walking around

  • and you're thinking about something you just learned

  • mathematically, look around and try and bring it

  • into the environment you're in.

  • And try to think about it in those ways.

  • That's such a great question.

  • Because it helps us be aware of the richness of life around us.

  • And so I think trying to bring some of these ideas you're

  • learning into the life around us is a brilliant thing to do,

  • and a great attitude to have.

  • So I thank you so very much for having me here.

  • BARBARA OAKLEY: Fantastic talk.

  • Great answers.

  • AUDIENCE: And happy learning.

  • BARBARA OAKLEY: Thank you so much, Barb.

  • Thank you.

  • [APPLAUSE]

MALE SPEAKER: We have a very, very special guest with us

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