What is the difference between method and device? A method is a device which you use twice.

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

What is the difference between method and device? A method is a device which you use twice.

Pedantry and mastery are opposite attitudes toward rules. To apply a rule to the letter, rigidly, unquestioningly, in cases where it fits and in cases where it does not fit, is pedantry. [...] To apply a rule with natural ease, with judgment, noticing the cases where it fits, and without ever letting the words of the rule obscure the purpose of the action or the opportunities of the situation, is mastery.

A mathematics teacher is a midwife to ideas.

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.

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