The sort of thinking in Feynman's bio is what drives math circles, though. I taught at a math circle for a few years; we did 'looking at awesome stuff' for two

The sort of thinking in Feynman's bio is what drives math circles, though. I taught at a math circle for a few years; we did 'looking at awesome stuff' for two thirds of the year, and competition prep for one third of the year. Different kids came for different parts, but will came out smarter for the experience, I think.