51 Quotes by George Pólya

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.

No idea is really bad, unless we are uncritical. What is really bad is to have no idea at all.

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

It is better to solve one problem five different ways, than to solve five problems one way.

It is foolish to answer a question that you do not understand. It is sad to work for an end that you do not desire.

The worst may happen if the student embarks upon computations or constructions without having understood the problem.

Mathematics consists in proving the most obvious thing in the least obvious way.

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.

Une méthode est un truc qui a été utilisé plusieurs fois