To think deeply of simple things.

Arnold E. Ross

The value of an education… is not the learning of many facts but the training of the mind to think something that cannot be learned from textbooks.

Albert Einstein

Life is good for only two things, discovering mathematics and teaching mathematics.

Siméon Poisson

It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment.

Carl Friedrich Gauss

The only way to learn mathematics is to do mathematics.

Paul Halmos

Even fairly good students, when they have obtained the solution of the problem and written down neatly the argument, shut their books and look for something else. Doing so, they miss an important and instructive phase of the work. … A good teacher should understand and impress on his students the view that no problem whatever is completely exhausted. One of the first and foremost duties of the teacher is not to give his students the impression that mathematical problems have little connection with each other, and no connection at all with anything else. We have a natural opportunity to investigate the connections of a problem when looking back at its solution.

George Polya

The enchanting charms of this sublime science reveal only to those who have the courage to go deeply into it.

Carl Friedrich Gauss

We must know, we will know!

David Hilbert

The real satisfaction from mathematics is in learning from others and sharing with others.

Bill Thurston

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.

Paul Halmos

… it can often be profitable to try a technique on a problem even if you know in advance that it cannot possibly solve the problem completely.

Terence Tao

If you can’t solve a problem, then there is an easier problem you can solve: find it.

George Polya