The mathematical question is "Why?" It's always why. And the only way we know how to answer such questions is to come up, from scratch, with these na….

There is nothing as dreamy and poetic, nothing as radical, subversive, and psychedelic, as mathematics. It is every bit as mind blowing as cosmology ….

If teaching is reduced to mere data transmission, if there is no sharing or excitement and wonder, if teachers themselves are passive recipients of i….

I don't see how it's doing society any good to have so many members walking around with vague memories of algebraic formulas and geometric diagrams a….

Mathematicians enjoy thinking about the simplest possible things, and the simplest possible things are imaginary..

Mathematics is the purest of the arts, as well as the most misunderstood..

To do mathematics is to engage in an act of discovery and conjecture, intuition and inspiration; to be in a state of confusion − not because it makes….

Doing mathematics should always mean finding patterns and crafting beautiful and meaningful explanations..

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

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

[Math] curriculum is obsessed with jargon and nomenclature seemingly for no other purpose than to provide teachers with something to test the student….

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,….

It is the story that matters, not just the ending..

No mathematician in the world would bother making these senseless distinctions: 2 1/2 is a "mixed number " while 5/2 is an "improper fraction." They'….

Why don't we want our children to learn to do mathematics? Is it that we don't trust them, that we think it's too hard? We seem to feel that they are….

If I had to design a mechanism for the express purpose of destroying a child's natural curiosity and love of pattern-making, I couldn't possibly do a….

In any case, do you really think kids even want something that is relevant to their daily lives? You think something practical like compound interest….

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 could….

So how does one go about proving something like this? It's not like being a lawyer, where the goal is to persuade other people; nor is it like a scie….

Teaching is not about information. It's about having an honest intellectual relationship with your students. It requires no method, no tools, and no ….

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