The result of the mathematician's creative work is demonstrative reasoning, a proof; but the proof is discovered by plausible reasoning, by guessing.
Success in solving the problem depends on choosing the right aspect, on attacking the fortress from its accessible side. - George Polya
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
Mathematics is not a spectator sport!
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
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.
The best of ideas is hurt by uncritical acceptance and thrives on critical examination. - George Polya
The best of ideas is hurt by uncritical acceptance and thrives on critical examination.
Beauty in mathematics is seeing the truth without effort. - George Polya
Beauty in mathematics is seeing the truth without effort.
It is better to solve one problem five different ways, than to solve five problems one way. - George Polya
It is better to solve one problem five different ways, than to solve five problems one way.
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
An idea which can be used only once is a trick. If one can use it more than once it becomes a method.
It may be more important in the mathematics class how you teach than what you teach. - George Polya
It may be more important in the mathematics class how you teach than what you teach.
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
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…
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