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Where should I start? Start from the statement of the problem. ... What can I do? Visualize the problem as a whole as clearly and as vividly as you can. ... What can I gain by doing so? You should understand the problem, familiarize yourself with it, impress its purpose on your mind.

George Polya
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George Polya's Popular Quotes

Success in solving the problem depends on choosing the right aspect, on attacking the fortress from its accessible side.

- George Polya

Mathematics is not a spectator sport!

- George Polya

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.

- George Polya

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

- George Polya

Beauty in mathematics is seeing the truth without effort.

- George Polya

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

- George Polya

An idea which can be used only once is a trick. If one can use it more than once it becomes a method.

- George Polya

A great discovery solves a great problem, but there is a grain of discovery in the solution of any problem. Your problem may be modest, but if it cha…

- George Polya

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

- George Polya
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