A great discovery solves a great problem, but there is a grain of discovery in the solution of any problem. Your problem may be modest, but if it challenges your curiosity and brings into play your inventive faculties, and if you solve it by your own means, you may experience the tension and enjoy the triumph of discovery.

A GREAT discovery solves a great problem but there is a grain of discovery in any problem.

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

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.

John von Neumann was the only student I was ever afraid of.

Success in solving the problem depends on choosing the right aspect, on attacking the fortress from its accessible side.

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