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I'm an artist. I've been doing art since I was a child: I started oil painting when I was 8 or something, and remember drawing and coloring being one of my favo

I'm an artist. I've been doing art since I was a child: I started oil painting when I was 8 or something, and remember drawing and coloring being one of my favorite activities as a young child (before kindergarten). I can't properly explain how I see things the way I do. I can't really explain why I choose some colors in non-realistic pieces other than "they look good", although I know that learning color theory from the color wheel helps explain that and helps folks learn. It took me some time to learn to explain this stuff to others. I'm not autistic, though I likely have a mild case of dyslexia. I always imagine that skilled mathematicians are somewhat the same. It isn't that it only works for someone that already knows, it is more that they are writing the books for folks whose mind simply has that sort of slant to it. If we change all the books to help someone like me - I generally did poorly in algebra, trig, and calculus but found geometry fairly straighforward - that's going to let the other folks down because their mind's logic simply doesn't work on the same wavelength. This isn't autism, but simply human variation.

watwut 10y ago
I think that there is difference - there is nothing natural about things like notations, axiomatic system or concrete theories. They have been developed for hundreds of years and have to be learned. Kid will not invent them intuitively (unlike colors matching). As you are learning math, you oftentimes you don't understand for long and then something clicks and suddenly you get it. Mathematicien coming to new theory oftentimes needs a lot of time to go through just one page of article. I am not denying that talent exist, but it just makes learning harder or easier and defines plateau. Through, if you was good in geometry, then your brain works well enough in math (meaning some click on algebra did not happened but you are unlikely to be unable to think that way - thinking is not that dissimilar).

watwut 10y ago

I think that there is difference - there is nothing natural about things like notations, axiomatic system or concrete theories. They have been developed for hundreds of years and have to be learned. Kid will not invent them intuitively (unlike colors matching). As you are learning math, you oftentimes you don't understand for long and then something clicks and suddenly you get it. Mathematicien coming to new theory oftentimes needs a lot of time to go through just one page of article. I am not denying that talent exist, but it just makes learning harder or easier and defines plateau. Through, if you was good in geometry, then your brain works well enough in math (meaning some click on algebra did not happened but you are unlikely to be unable to think that way - thinking is not that dissimilar).