"To teach effectively a teacher must develop a……" — George Polya
"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."
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George Polya
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47 Quotes by George Polya
George Polya has 47 quotes on this site.
A few more worth reading:
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Quite often, when an idea that could be helpful presents itself, we do not appreciate it, for it is so…
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The world is anxious to admire that apex and culmination of modern mathematics: a theorem so perfectly general that no…
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The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the…
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The first rule of discovery is to have brains and good luck. The second rule of discovery is to sit…
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Mathematics is the cheapest science. Unlike physics or chemistry, it does not require any expensive equipment. All one needs for…
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When introduced at the wrong time or place, good logic may be the worst enemy of good teaching.
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Where should I start? Start from the statement of the problem. ... What can I do? Visualize the problem as…
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If you have to prove a theorem, do not rush. First of all, understand fully what the theorem says, try…
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A great discovery solves a great problem, but there is a grain of discovery in the solution of any problem.…
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Look around when you have got your first mushroom or made your first discovery: they grow in clusters.
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The future mathematician ... should solve problems, choose the problems which are in his line, meditate upon their solution, and…
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If the proof starts from axioms, distinguishes several cases, and takes thirteen lines in the text book ... it may…
See all 47 quotes by George Polya »
More Cannot Make Quotes
This quote is filed under Cannot Make Quotes,
one of 275 quotes in that category. Here are a few more:
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I am politically pro-choice, but personally pro-life. I have my faith but refuse to force it on the world at…
— Julianna Baggott
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We cannot make events. Our business is wisely to improve them.
— Samuel Adams
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Anyone who tells a lie has not a pure heart, and cannot make a good soup.
— Ludwig van Beethoven
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You cannot make yourself feel something you do not feel, but you can make yourself do right in spite of…
— Pearl S. Buck
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A man cannot make a pair of shoes rightly unless he do it in a devout manner.
— Thomas Carlyle
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One man can be a crucial ingredient on a team, but one man cannot make a team.
— Kareem Abdul-Jabbar
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When I am finishing a picture, I hold some God-made object up to it - a rock, a flower, the…
— Marc Chagall
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Nothing is so unbelievable that oratory cannot make it acceptable.
— Marcus Tullius Cicero
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Many statements about God are confidently made by theologians on grounds that today at least sound specious. Thomas Aquinas claimed…
— Carl Sagan
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You cannot make a mistake, you can only make a decision that will be your next best step.
— Neale Donald Walsch
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Violence ever defeats its own ends. Where you cannot drive you can always persuade. A gentle word, a kind look,…
— William Hazlitt
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Without subtle ingenuity of mind, one cannot make certain of the truth of their reports.
— Sun Tzu
See all 275 Cannot Make Quotes »