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. β¨ George PΓ³lya, Leon Bowden (1977). Mathematical Methods in Science, p.1, Cambridge University Press
More Author Quotes
- 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
- Quite often, when an idea that could be helpful presents itself, we do not appreciate it, for it is so inconspicuous. The expert has, perhaps, no more ideas than the inexperienced, but appreciates mo β¦ βΆ
- If there is a problem you can't solve, then there is an easier problem you can't solve: find it.
- The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and inversely proportional to the effort it takes to see them.
- It is better to solve one problem five different ways, than to solve five problems one way.
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