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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
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Interpretation

What this quote means

Learning requires active participation and engagement with challenges.

This quote emphasizes the importance of hands-on experience in the learning process. Just as a person must physically get into the water to learn how to swim, an individual must actively engage in problem-solving to develop the skills necessary for effective problem-solving. The essence of gaining knowledge or expertise lies in confronting and attempting to overcome the challenges that arise.

Themes

LearningProblem-SolvingExperienceActive EngagementChallenges

In practice

Example use cases

A teacher might use this quote to encourage students to tackle challenging math problems.

More from George Polya

Pedantry and mastery are opposite attitudes toward rules. To apply a rule to the letter, rigidly, unquestioningly, in cases where it fits and in cases where it does not fit, is pedantry. [...] To apply a rule with natural ease, with judgment, noticing the cases where it fits, and without ever letting the words of the rule obscure the purpose of the action or the opportunities of the situation, is mastery.
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To teach effectively a teacher must develop a feeling for his subject; he cannot make his students sense its vitality if he does not sense it himself. He cannot share his enthusiasm when he has no enthusiasm to share. How he makes his point may be as important as the point he makes; he must personally feel it to be important.
George PolyaRead
Mathematics is not a spectator sport!
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Mathematics is being lazy. Mathematics is letting the principles do the work for you so that you do not have to do the work for yourself
George PolyaRead
In order to translate a sentence from English into French two things are necessary. First, we must understand thoroughly the English sentence. Second, we must be familiar with the forms of expression peculiar to the French language. The situation is very similar when we attempt to express in mathematical symbols a condition proposed in words. First, we must understand thoroughly the condition. Second, we must be familiar with the forms of mathematical expression.
George PolyaRead
Mathematics is the cheapest science. Unlike physics or chemistry, it does not require any expensive equipment. All one needs for mathematics is a pencil and paper.
George PolyaRead

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Quote by George Polya | QuoteProject