The mathematical genius Alexander Grothendieck once had a metaphor for solving problems. He suggested that instead of forcing open an impossibly hard kernel with a hammer and chisel, one should simply let it sit in water and wait. Over time, the shell softens and opens with ease. This is also true in writing; time is the only non-substitutable... See more
Creativity: “I can’t get new ideas staring at a blank page. Creativity, for me, requires motion. When you go on a walk, you can turn your world into an idea-generating sensorium, and ideas will spring up from the most unlikely sources. There is one thing that’s absolutely certain about creativity: It’s an active process, not a passive one. The best... See more
The most important active step you can take to cultivate your curiosity is probably to seek out the topics that engage it. Few adults are equally curious about everything, and it doesn't seem as if you can choose which topics interest you. So it's up to you to
The document explores the flaws of current mathematics education, criticizes the rigid curriculum, and advocates for a more creative and intuitive approach to teaching mathematics.