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

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

If you wish to learn swimming you have to go into the water and if you wish to become a problem solver you have to solve problems.

The teacher can seldom afford to miss the questions: What is the unknown? What are the data? What is the condition? The student should consider the principal parts of the problem attentively, repeatedly, and from from various sides.

Solving problems is a practical skill like, let us say, swimming. We acquire any practical skill by imitation and practice. Trying to swim, you imitate what other people do with their hands and feet to keep their heads above water, and, finally, you learn to swim by practicing swimming. Trying to solve problems, you have to observe and to imitate what other people do when solving problems, and, finally, you learn to do problems by doing them.

My method to overcome a difficulty is to go round it.

The best of ideas is hurt by uncritical acceptance and thrives on critical examination.