Why do mathematicians hide their natural way of thinking ? They provide their finished work and everyone is supposed to clap. Why can't they write long articles like about false starts, dead ends and so on. It's only after magazines like Quanta and YouTube channels that we get to feel the thinking process. Math is not hard. Atleast the mathematics we are expected to know.
Mathematics is extremely hard. The math people are expected to know for high school is not hard, but that is such a minuscule amount of math compared to what we (humans) know, collectively.
Mathematicians do speak and also write books about the thinking process. It’s just very difficult and individualized. It’s a nonlinear process with false starts and dead ends, as you say.
But you can’t really be told what it feels like. You have to experience it for yourself.
