A good problem is something you don't know how to solve. That's what makes it a good puzzle and a good opportunity.

Mathematics is not a language, it's an adventure

A good problem is something you don't know how to solve. That's what makes it a good puzzle and a good opportunity.

There is nothing as dreamy and poetic, nothing as radical, subversive, and psychedelic, as mathematics.

Mathematics is about problems, and problems must be made the focus of a student's mathematical life. Painful and creatively frustrating as it may be, students and their teachers should at all times be engaged in the process - having ideas, not having ideas, discovering patterns, making conjectures, constructing examples and counterexamples, devising arguments, and critiquing each other's work.

The thing I want you especially to understand is this feeling of divine revelation. I feel that this structure was "out there" all along I just couldn't see it. And now I can! This is really what keeps me in the math game- the chance that I might glimpse some kind of secret underlying truth, some sort of message from the gods.

The only thing I am interested in using mathematics for is to have a good time and to help others do the same.