The only way to learn mathematics is to do mathematics.

The computer is important, but not to mathematics.

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.

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

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

...the source of all great mathematics is the special case, the concrete example. It is frequent in mathematics that every instance of a concept of seemingly generality is, in essence, the same as a small and concrete special case.

The heart of mathematics is its problems.