Quotes by George Polya

George Polya

A GREAT discovery solves a great problem but there is a grain of discovery in any problem.

Education

Knowledge

Math

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 challenges your curiosity and brings into play your inventive faculties, and if you solve it by your own means, you may experience the tension and enjoy the triumph of discovery.

Discovery

Mean

Science

A mathematician who can only generalise is like a monkey who can only climb up a tree, and a mathematician who can only specialise is like a monkey who can only climb down a tree. In fact neither the up monkey nor the down monkey is a viable creature. A real monkey must find food and escape his enemies and so must be able to incessantly climb up and down. A real mathematician must be able to generalise and specialise.

Math

Real

Tree

A mathematics teacher is a midwife to ideas.

Ideas

Mathematics

Teacher

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

Ideas

Math

Method

Analogy pervades all our thinking, our everyday speech and our trivial conclusions as well as artistic ways of expression and the highest scientific achievements.

Achievement

Expression

Thinking

Beauty in mathematics is seeing the truth without effort.

Education

Effort

Math

Epitaph on Newton: Nature and Nature’s law lay hid in night: God said, “Let Newton be!,” and all was light. [added by Sir John Collings Squire: It did not last: the Devil shouting “Ho. Let Einstein be,” restored the status quo] [Aaron Hill’s version: O’er Nature’s laws God cast the veil of night, Out blaz’d a Newton’s soul and all was light.

Law

Light

Night

Euclid ‘s manner of exposition, progressing relentlessly from the data to the unknown and from the hypothesis to the conclusion, is perfect for checking the argument in detail but far from being perfect for making understandable the main line of the argument.

Data

Perfect

Progress

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.

Book

Hard Work

Teacher

Follow The Behaviour University in order to get the greatest quotes from the greatest people of all time so that you can tap into your own greatness.

Acceptance

Achievement

Answers

Anxiety

Appreciate

Appreciation

Art

Aspect

Attitude

Authority

Book

Class

Creative

Creativity

Data

Differences

Different

Difficulty

Discovery

Doe

Education

Effort

Expression

Figures

Firsts

Fool

Giving

Good Luck

Guessing

Hard Work

Hurt

Ideas

Imagination

Important

Independent

Intelligent

Inventory

Knowledge

Law

Lazy

Light

Looks

Math

Mathematics

May

Mean

Men

Method

Mind

Motivational

The Future Blueprint

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The Home Therapist: Anti Anxiety

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Quotes by George Polya

George Polya

A GREAT discovery solves a great problem but there is a grain of discovery in any problem.

A mathematics teacher is a midwife to ideas.

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

Analogy pervades all our thinking, our everyday speech and our trivial conclusions as well as artistic ways of expression and the highest scientific achievements.

Beauty in mathematics is seeing the truth without effort.

Euclid ‘s manner of exposition, progressing relentlessly from the data to the unknown and from the hypothesis to the conclusion, is perfect for checking the argument in detail but far from being perfect for making understandable the main line of the argument.

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The Future Blueprint

The Home Therapist: Anti Anxiety

The Autobiography

The Behaviour Diary

The Dating Diary

The Relationship Therapist

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