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.
Interpretation
Mathematics is an accessible science that requires minimal resources to practice.
This quote by George Polya emphasizes that mathematics is a unique field of study that can be pursued without the need for costly tools or labs, unlike other sciences such as physics or chemistry. It highlights the simplicity and accessibility of mathematics, suggesting that anyone can engage with it using just basic materials like a pencil and paper, thereby democratizing the knowledge and exploration of this essential discipline.
In practice
In a lecture on the importance of education, this quote can be used to emphasize the accessibility of mathematics.
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.
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.
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.
The only thing that you absolutely have to know, is the location of the library.
You'll never make your mark as a writer unless you develop a respect for words and a curiosity about their shades of meaning that is almost obsessive. The English language is rich in strong and supple words. Take the time to root around and find the ones you want
I've had a lot of fun, and when I talk to kids in journalism schools, I say, look, I know what the journalism teachers tell you that this is a great way to perform public service and all that, but I say the main reason, if you decide what you want to do is be a reporter, the main reason you want to do it is because it's just so much fun.
When you're a student of poetry, you're lucky if you don't realize how untalented you are until you get a little better. Otherwise, you would just stop.
I like to build places online where readers can have productive conversations about books.
What is learned without pleasure is forgotten without remorse.
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