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.
Interpretation
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.
In practice
A teacher might use this quote to encourage students to tackle challenging math problems.
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.
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.
Mathematics is not a spectator sport!
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
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.
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.
Learning music by reading about it is like making love by mail.
There are many more want-to-be writers out there than good editors.
If we want children to learn to tend the land and nourish themselves and have conversations at the table, we need to communicate with them in ways that are positive.
As long as the centuries continue to unfold, the number of books will grow continually, and one can predict that a time will come when it will be almost as difficult to learn anything from books as from the direct study of the whole universe. It will be almost as convenient to search for some bit of truth concealed in nature as it will be to find it hidden away in an immense multitude of bound volumes.
A child who can love the oddities of a fantasy book cannot possibly be xenophobic as an adult. What is a different color, a different culture, a different tongue for a child who has already mastered Elvish, respected Puddleglums, or fallen under the spell of dark-skinned Ged?
When you read a short story, you come out a little more aware and a little more in love with the world around you. What I want is to have the reader come out just 6 percent more awake to the world.
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