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The language brain matters more for programming than the math brain? (2020)

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Re: The language brain matters more for programming than the math brain? (2020)

#201
post #158

Earlier quoted context omitted.

I think you might be missing the point of the article: the study being cited isn't trying to establish the existence of a "language brain" or a "math brain", that's just the way the headline editorialized it to help people understand the conclusions. The conclusion of the study was that linguistic aptitude seemed to be more correlated with programming aptitude than mathematical aptitude, which seems fairly interestin…

I understood it. > The conclusion of the study was that linguistic aptitude seemed to be more correlated with programming aptitude than mathematical aptitude And this is what I'm pushing back against and where I think you've misinterpreted. > They found that how well students learned Python was mostly explained by general cognitive abilities (problem solving and working memory), while how quickly they learned was exp…

> Math is a language.

Language is not math, therefore math is not language.

Re: The language brain matters more for programming than the math brain? (2020)

#202

Earlier quoted context omitted.

100%. I have 2 kids and what they learn at school is absurd... I have to put them in an extra class outside school where they learn a lot of the more abstract stuff, albeit as you say at a level which makes sense (not too deep).

what is the name / curriculum of such a class?

"russian school of math". Putin may be a bad dude, but those russians seem to know a thing or two about math...

Re: The language brain matters more for programming than the math brain? (2020)

#203

It think this is silly on multiple accounts. I'll claim that there's not real thing such as a "language brain" or "math brain." I'll also claim that most people don't know what math is, and that their evidence supports a "math brain". Math isn't about calculations/computations, it is about patterns. You get to algebra and think "what are these letters doing in my math" but once you get further you think "what are the…

> It think this is silly on multiple accounts. I'll claim that there's not real thing such as a "language brain" or "math brain." It seems plainly obvious that this language just means “areas of brain that activate when dealing with math problems” vs “areas of brain that activate when dealing with language problems” and yes there is hard evidence that there is a difference between them.

Please reread my comment in full. I'm willing to bet we disagree on the definition of math. I'll strongly insist that the one I'm using is common among mathematicians. If you'd like to retort by saying it's about semantics then congrats, we're on the same page (and can be verified by reading you sibling comments and/or my replies to some of them)

Re: The language brain matters more for programming than the math brain? (2020)

#204
Notwithstanding Puritanism like "language is maths" or "logic is maths" I definitely agree.

I learned to program when I was a kid and my maths skills were super basic. Programming can almost be distilled to something as basic as "if this, then do that", plus "do this x times". Then read API documentation and call functions that do what the docs say.

With just this basic understanding you can create a lot of stuff. The maths is obviously the foundation of computation, but to be a programming language user and build stuff, you don't actually need to understand most of it.

In university I did eventually do some math-y stuff (econ degree so prerequisites in stats, maths and even CS) and it helps with certain stuff (understanding graphics programming, ML and LLMs, plus knowing maths on its own is useful), but I still don't feel it was strictly necessary. Language and basic logic is enough IMO.

Re: The language brain matters more for programming than the math brain? (2020)

#206

It think this is silly on multiple accounts. I'll claim that there's not real thing such as a "language brain" or "math brain." I'll also claim that most people don't know what math is, and that their evidence supports a "math brain". Math isn't about calculations/computations, it is about patterns. You get to algebra and think "what are these letters doing in my math" but once you get further you think "what are the…

Just anecdotally based on my 2000something kid high school, the copious amount of tiering of math classes seemed to indicate to me that either we're really bad at teaching math to 80% of people, or only 20% of people will be able to handle precalculus. We had basically 4 tracks: one ended with you doing algebra 1 in senior year, another ended with you doing trig in sr year, yet another that ended with trig (no precal…

In either case it would seem to suggest we should radically change the system

Re: The language brain matters more for programming than the math brain? (2020)

#207

Earlier quoted context omitted.

If you define recursion as a symbol referencing itself, either directly or indirectly, and if you define language as a system of relating symbols to each other, recursion is a linguistic concept, it is a concept that describes a relationship between symbols. There are good reasons to define each concept differently, but if you identify recursion empirically, recursion won't "actually" exist outside of the description…

> If you define recursion as a symbol referencing itself, either directly or indirectly, and if you define language as a system of relating symbols to each other, recursion is a linguistic concept But that isn't what we mean with recursive function. We don't call this recursive: x = x + 1 Its just incrementing x.

> We don't call this recursive... it's just incrementing x

That's not a recursive function as it's written, but you could certainly consider it a form of symbolic recursion. This just isn't a very useful characterization in an iterative/imperative context. You could frame incrementing as recursive, though—this is just peano axioms/church encoding.

Re: The language brain matters more for programming than the math brain? (2020)

#208

Earlier quoted context omitted.

Math is about form and traditionally the science of quantity. It is called a formal science for this reason. Language also concerns form. Grammar has form. Concepts are forms. Math is language. 'Everything' is language. Language is the image of reality. In the beginning was the Logos...

> Math is language. Facts. I think it is hard to disagree with this, and it seems like a rare opinion to be held by people at high levels. > Language is the image of reality. An image?[0] ;) [0] https://ncatlab.org/nlab/show/image

Math major here. 'is' is a reflexive relationship. If math is language, therefore language is math. I believe clearly language is not math, therefore math is not language. Math is described with language, Math itself is not language. It is a 'has-a' relationship vs a 'is-a' relationship.

Re: The language brain matters more for programming than the math brain? (2020)

#209

Earlier quoted context omitted.

> I was never told, for example, that matrices are a useful abstraction (shorthand?) for representing linear equations. Congratulations on overcoming the (very weird) choice of whoever taught your intro to linear algebra class.

I'm not sure how to interpret this comment, it could easily be read in multiple ways. (Depends on priors) Regardless, it's a shockingly common occurrence. I'd agree it's not the right way, but it is also a common way. That perspective might define those priors

Yeah, I was worried it might come off as sarcastic or something. Hopefully the original commenter doesn’t take it that way, or reads this follow up. Unfortunately, adding stuff like “honestly” often makes a comment look even more sarcastic. It is a real pain.

But yes, I am expressing honest admiration—it was a bad move on the part of the teacher I think, which the poster seems to have overcome!

Re: The language brain matters more for programming than the math brain? (2020)

#210

It think this is silly on multiple accounts. I'll claim that there's not real thing such as a "language brain" or "math brain." I'll also claim that most people don't know what math is, and that their evidence supports a "math brain". Math isn't about calculations/computations, it is about patterns. You get to algebra and think "what are these letters doing in my math" but once you get further you think "what are the…

Just anecdotally based on my 2000something kid high school, the copious amount of tiering of math classes seemed to indicate to me that either we're really bad at teaching math to 80% of people, or only 20% of people will be able to handle precalculus. We had basically 4 tracks: one ended with you doing algebra 1 in senior year, another ended with you doing trig in sr year, yet another that ended with trig (no precal…

This system sounds extremely complicated.

> the copious amount of tiering of math classes seemed to indicate to me that either we're really bad at teaching math to 80% of people, or only 20% of people will be able to handle precalculus

Or maybe it indicates that the people designing this system should be fired? Job security through complexity?

(Or maybe I’m just biased by the system I know… I’m just asking questions)

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