I am too good for philosophy and not good enough for physics. Mathematics is in between.

To teach effectively a teacher must develop a feeling for his subject; he cannot make his students sense its vitality if he does not sense it himself. He cannot share his enthusiasm when he has no enthusiasm to share. How he makes his point may be as important as the point he makes; he must personally feel it to be important.

The first and foremost duty of the high school in teaching mathematics is to emphasize methodical work in problem solving...The teacher who wishes to serve equally all his students, future users and nonusers of mathematics, should teach problem solving so that it is about one-third mathematics and two-thirds common sense.

It may be more important in the mathematics class how you teach than what you teach.

The open secret of real success is to throw your whole personality into your problem.

Analogy pervades all our thinking, our everyday speech and our trivial conclusions as well as artistic ways of expression and the highest scientific achievements.

Mathematics is being lazy. Mathematics is letting the principles do the work for you so that you do not have to do the work for yourself