Even fairly good students, when they have obtained the solution of the problem and written down neatly the argument, shut their books and look for something else. Doing so, they miss an important and instructive phase of the work. ... A good teacher should understand and impress on his students the view that no problem whatever is completely exhausted.
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.
Beauty in mathematics is seeing the truth without effort. - George Polya
Beauty in mathematics is seeing the truth without effort.
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.
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.
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…
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.
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