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

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

The world is anxious to admire that apex and culmination of modern mathematics: a theorem so perfectly general that no particular application of it is feasible.

Euclid 's manner of exposition, progressing relentlessly from the data to the unknown and from the hypothesis to the conclusion, is perfect for checking the argument in detail but far from being perfect for making understandable the main line of the argument.

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

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

When introduced at the wrong time or place, good logic may be the worst enemy of good teaching.