A smooth lecture... may be pleasant; a good teacher challenges, asks, irritates and maintains high standards - all that is generally not pleasant.

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

The only way to learn mathematics is to do mathematics.

The heart of mathematics is its problems.

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.

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.

It is the duty of all teachers, and of teachers of mathematics in particular, to expose their students to problems much more than to facts.