Ran into this the other day on the intertubes: A Mathematician’s Lament.
I’ll summarize the article if you don’t want to do the reading (the article is quite long.) Math is art. Math education is broken; mostly because we teach procedures and definitions in math class, not problem solving. To fix math education, we need good teachers who will let their students solve problems. Reciting multiplication tables is not problem solving. Remembering the definition of a whole number is not problem solving. Finding the least common multiple of two fractions is not problem solving. Those are definitions and procedures. Following instructions should be de-emphasized in favor of exploratory logic. Only then will math students enjoy math. Some kids will be really good at math. Other kids will struggle. That’s ok.
Math as art is an interesting discussion. Chess, in it’s abstract form is a big math problem. And good chess is definitely art. I can remember replaying some of Bobby Fisher’s chess games, and being in absolute awe of the logic of what he was accomplishing. That guy was like a force of nature. Too bad he went crazy.
And geometry always felt like the real math to me anyway.
And the rate equations in calculus.
Everything is a rate equation.