[Math is] not at all like science. There's no experiment I can do with test tubes and equipment and whatnot that will tell me the truth about a figme….

Mathematics is the art of explanation. If you deny students the opportunity to engage in this activity-- to pose their own problems, to make their ow….

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..

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..

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

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….

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….

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

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

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

Mental acuity of any kind comes from solving problems yourself, not from being told how to solve them..

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….

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

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 ….

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….

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