The best of ideas is hurt by uncritical acceptance and thrives on crit…

George Polya
43 citations
The best of ideas is hurt by uncritical acceptance and thrives on critical examination. ✨ George Pólya (1957). How to solve it: a new aspect of mathematical method
Thought
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Mathematics consists in proving the most obvious thing in the least obvious way. ✨ George Pólya (1968). Mathematical discovery: on understanding, learning, and teaching problem solving
The principle is so perfectly general that no particular application of it is possible. ✨ George Pólya (1948). How to solve it: a new aspect of mathematical method
If there is a problem you can't solve, then there is an easier problem you can't solve: find it.
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 app … ▶
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 … ▶

The best of ideas is hurt by uncritical acceptance and thrives on critical examination. ✨ George Pólya (1957). How to solve it: a new aspect of mathematical method

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