Where should I start? Start from the statement of the problem. ... What can I do? Visualize the problem as a whole… — George Polya Copy Share Image
Look around when you have got your first mushroom or made your first discovery: they grow in clusters. — George Polya Copy Share Image
The world is anxious to admire that apex and culmination of modern mathematics: a theorem so perfectly general that no particular application… — George Polya Copy Share Image
The first rule of discovery is to have brains and good luck. The second rule of discovery is to sit tight and… — George Polya Copy Share Image
There was a seminar for advanced students in Zürich that I was teaching and von Neumann was in the class. I came… — George Polya Copy Share Image
“Good problems and mushrooms of certain kinds have something in common; they grow in clusters.” — George Pólya Copy Share Image
There are many questions which fools can ask that wise men cannot answer. — George Polya Copy Share Image
Mathematics has two faces: it is the rigorous science of Euclid, but it is also something else. Mathematics presented in the Euclidean… — George Polya Copy Share Image
If there is a problem you can't solve, then there is an easier problem you can't solve: find it. — George Polya Copy Share Image
A great discovery solves a great problem, but there is a grain of discovery in the solution of any problem. Your problem… — George Polya Copy Share Image
“I started studying law, but this I could stand just for one semester. I couldn't stand more. Then I studied languages and… — George Pólya Copy Share Image
Even fairly good students, when they have obtained the solution of the problem and written down neatly the argument, shut their books… — George Polya Copy Share Image
The teacher can seldom afford to miss the questions: What is the unknown? What are the data? What is the condition? The… — George Polya Copy Share Image
One of the first and foremost duties of the teacher is not to give his students the impression that mathematical problems have… — George Polya Copy Share Image
The result of the mathematician's creative work is demonstrative reasoning, a proof; but the proof is discovered by plausible reasoning, by guessing. — George Polya Copy Share Image
The open secret of real success is to throw your whole personality into your problem. — George Polya Copy Share Image
Analogy pervades all our thinking, our everyday speech and our trivial conclusions as well as artistic ways of expression and the highest… — George Polya Copy Share Image
Mathematics is being lazy. Mathematics is letting the principles do the work for you so that you do not have to do… — George Polya Copy Share Image
When introduced at the wrong time or place, good logic may be the worst enemy of good teaching. — George Polya Copy Share Image
The future mathematician ... should solve problems, choose the problems which are in his line, meditate upon their solution, and invent new… — George Polya Copy Share Image
Pedantry and mastery are opposite attitudes toward rules. To apply a rule to the letter, rigidly, unquestioningly, in cases where it fits and in… — George Polya Copy Share Image
A GREAT discovery solves a great problem but there is a grain of discovery in any problem. — George Polya Copy Share Image
Where should I start? Start from the statement of the problem. ... What can I do? Visualize the problem as a whole as clearly… — George Polya Copy Share Image
In order to translate a sentence from English into French two things are necessary. First, we must understand thoroughly the English sentence. Second, we… — George Polya Copy Share Image
Look around when you have got your first mushroom or made your first discovery: they grow in clusters. — George Polya Copy Share Image
I am too good for philosophy and not good enough for physics. Mathematics is in between. — George Polya Copy Share Image
Solving problems is a practical art, like swimming, or skiing, or playing the piano: you can learn it only by imitation and practice. — George Polya Copy Share Image
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 Copy Share Image
To teach effectively a teacher must develop a feeling for his subject; he cannot make his students sense its vitality if he does not… — George Polya Copy Share Image
The world is anxious to admire that apex and culmination of modern mathematics: a theorem so perfectly general that no particular application of it… — George Polya Copy Share Image
The first rule of discovery is to have brains and good luck. The second rule of discovery is to sit tight and wait till… — George Polya Copy Share Image
