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Everyone is capable of, and can benefit from, mathematical thinking

quantamagazine.org

31–40 of 419 posts

Re: Everyone is capable of, and can benefit from, mathematical thinking

#31

A nice sentiment but clearly a large % of people never do learn even basic mathematical thinking and seem very confused by it. So is there some scientific study backing up the claim that all these people could easily learn it or are we just making it up because its a nice egalitarian thesis for a math popularization book?

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Re: Everyone is capable of, and can benefit from, mathematical thinking

#32

I’m far from being any kind of serious mathematician, but I’ve learned more in the last couple years of taking that seriously as an ambition than in decades of relegating myself to inferiority on it. One of the highly generous mentors who dragged me kicking and screaming into the world of even making an attempt told me: “There are no bad math students. There are only bad math teachers who themselves had bad math teac…

How much of math aversion stems from a chain reaction of ineffective instruction

Re: Everyone is capable of, and can benefit from, mathematical thinking

#33
post #23
post #15

I agree with the sentiment of this. I think our obsession with innate mathematical skill and genius is so detrimental to the growth mindset that you need to have in order to learn things. I've been working a lot on my math skills lately (as an adult). A mindset I've had in the past is that "if it's hard, then that means you've hit your ceiling and you're wasting your time." But really, the opposite is true. If it's e…

> I agree with the sentiment of this. I think our obsession with innate ~~mathematical~~ skill and genius is so detrimental to the growth mindset that you need to have in order to learn things. I strongly believe that the average human being can be exceptional in any niche topic given enough time, dedication and focus. The author of the book has picked out mathematics because that was what he was interested in. The r…

I've had some success converting people by telling them others had convinced them they were stupid. They usually have one or two things they are actually good at, like a domain they flee to. I simply point out how everything else is exactly like [say] playing the guitar. Eventually you will be good enough to sing at the same time. Clearly you already are a genius. I cant even remember the most basic cords or lyrics because I've never bothered with it.

I met the guitar guy a few years later outside his house. He always had just one guitar but now owned something like 20, something like a hundred books about music. Quite the composer. It looked and sounded highly sophisticated. The dumb guy didn't exist anymore.

Re: Everyone is capable of, and can benefit from, mathematical thinking

#35
post #15

I agree with the sentiment of this. I think our obsession with innate mathematical skill and genius is so detrimental to the growth mindset that you need to have in order to learn things. I've been working a lot on my math skills lately (as an adult). A mindset I've had in the past is that "if it's hard, then that means you've hit your ceiling and you're wasting your time." But really, the opposite is true. If it's e…

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Re: Everyone is capable of, and can benefit from, mathematical thinking

#36
post #30

I'm not a math teacher, but I do enjoy math, and I have helped several family members and friends with math courses. I've long thought that almost all have the capability to learn roughly high school level math, though it will take more effort for some than for others. And a key factor to keep up a sustained effort is motivation. A lot of people who end up hating math or think they're terrible at it just haven't had…

Effort, combined with the right motivation, can overcome most perceived barriers

It sounds like trivial insight, but at least in my experience many adults and even teachers have this "it's hard so it's ok to not want to do it" attitude towards math. And I think that is very detrimental.

Re: Everyone is capable of, and can benefit from, mathematical thinking

#37
post #26
post #19

Earlier quoted context omitted.

Have you ever ascribed numbers to real life personal problems? I find that managing to frame something bothersome into a converging limit somehow, really dissolves stress.. A few times at least.

That’s an interesting approach. I don’t think I’ve done that myself, but I can see how it could be helpful. One positive effect of having studied pure mathematics when young might have been that I became comfortable with thinking in multiple layers of abstraction. In topology and analysis, for example, you have points, then you have sets of points, then you have properties of those sets of points (openness, compactne…

Thanks for sharing. The reverse direction here, I'm trying to go from fuzziness to the exactness of those true/false dichotomies, haha. The way I've been attacking mathematics, it's like a tree in the forest, one could start with the axioms and from the base reach each branch and the leaves and fruits. But I've just been walking around the tree, looking at the leaves and fruits and branches from different directions to see ways of climbing without doing a whole lot of climbing. What I mean is I've been thinking and reading in an imprecise way a whole lot without actually juggling symbols with pen and paper, haha. Or a roadtrip analogy, I've done little driving and a lot of map ogling. At least I won't miss the turns when I pick up some speed.

Re: Everyone is capable of, and can benefit from, mathematical thinking

#38
post #23
post #15

I agree with the sentiment of this. I think our obsession with innate mathematical skill and genius is so detrimental to the growth mindset that you need to have in order to learn things. I've been working a lot on my math skills lately (as an adult). A mindset I've had in the past is that "if it's hard, then that means you've hit your ceiling and you're wasting your time." But really, the opposite is true. If it's e…

> I agree with the sentiment of this. I think our obsession with innate ~~mathematical~~ skill and genius is so detrimental to the growth mindset that you need to have in order to learn things. I strongly believe that the average human being can be exceptional in any niche topic given enough time, dedication and focus. The author of the book has picked out mathematics because that was what he was interested in. The r…

So you're saying success at maths isn't an inbuilt ability. Instead, it depends on an (inbuilt) ability to hyper focus... Which you are just born with?

Re: Everyone is capable of, and can benefit from, mathematical thinking

#39
post #15

I agree with the sentiment of this. I think our obsession with innate mathematical skill and genius is so detrimental to the growth mindset that you need to have in order to learn things. I've been working a lot on my math skills lately (as an adult). A mindset I've had in the past is that "if it's hard, then that means you've hit your ceiling and you're wasting your time." But really, the opposite is true. If it's e…

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Most people don't try hard at the gym. Most people don't try hard at music. Most people aren't comedians.

This reads like the foreword to the incel handbook.

Re: Everyone is capable of, and can benefit from, mathematical thinking

#40
post #23

Earlier quoted context omitted.

> I agree with the sentiment of this. I think our obsession with innate ~~mathematical~~ skill and genius is so detrimental to the growth mindset that you need to have in order to learn things. I strongly believe that the average human being can be exceptional in any niche topic given enough time, dedication and focus. The author of the book has picked out mathematics because that was what he was interested in. The r…

I've had some success converting people by telling them others had convinced them they were stupid. They usually have one or two things they are actually good at, like a domain they flee to. I simply point out how everything else is exactly like [say] playing the guitar. Eventually you will be good enough to sing at the same time. Clearly you already are a genius. I cant even remember the most basic cords or lyrics b…

But also, some people are stupid, right?
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