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.
Quality educational care grows resilient children, provides support for working families and stability for employers, makes Georgia more competitive, and invests in the workforce of the future, beginning in early childhood.
September 11 We thought we'd outdistanced history Told our children it was nowhere near; Even when history struck Columbine, It didn't happen here. We took down the maps in the classroom, And when they were safely furled, We told the young what they wanted to hear, That they were immune from a menacing world. But history isn't a folded-up map, Or an unread textbook tome; Now we know history's a fireman's child Waiting at home alone.
Children are excellent observers, and will often perceive your slightest defects. In general, those who govern children, forgive nothing in them, but everything in themselves
I don't see why a book shouldn't be intellectually sound, entertaining, and fun to read. Historians who write academic history, which is unreadable, are basically wasting their time.
What we want is to see the child in pursuit of knowledge, and not knowledge in pursuit of the child.
Grammar is a piano I play by ear.
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