The best way to learn is to do; the worst way to teach is to talk.

The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic, or Texas method.

You are allowed to lie a little, but you must never mislead.

Mathematics is not a deductive science - that's a cliché... What you do is trial and error, experimentation, guesswork.

I read once that the true mark of a pro - at anything - is that he understands, loves, and is good at even the drudgery of his profession.

Mathematics - this may surprise or shock some - is never deductive in creation.

When a student comes and asks, "Should I become a mathematician?" the answer should be no. If you have to ask, you shouldn't even ask.