To teach effectively a teacher must develop a feeling for his subject; he cannot make his students sense its vitality if he… — George Polya Copy Share Image
Hilbert once had a student in mathematics who stopped coming to his lectures, and he was finally told the young man had… — 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
The first and foremost duty of the high school in teaching mathematics is to emphasize methodical work in problem solving...The teacher who… — George Polya 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
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
