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George Polya’s 10 Commandments for Teaching Mathematics


1.Be interested in your subject. Be interested in your students.
对你(教)的学科感兴趣。对你(教)的学生感兴趣。
2.Know your subject and know your students.
熟知你(教)的学科。也了解你(教)的学生。
3.Know about the ways of learning. The best way to learn anything is to discover it by yourself.
懂得学习途径。学习任何知识的最佳途径是你独立去发现其中的奥秘。
4.Try to read the faces of your students, try to see their expectations and difficulties, put yourself in their place. Remember when you've been a student!
努力解读学生的面部表情,觉察到他们的期望和困难,学会换位思考。记得自己当学生的时候。
5.Give them not only information, but “know-how,” attitudes of the mind, the habit of methodical work. Force them to think and to organize their thoughts.
不要只是传递信息,还要教会方法,心态,井井有条的工作习惯。强迫他们思考并组织思路。
6.Let them learn guessing.
让学生学会猜想。
7.Let them learn proving.
让学生学会证明。
8.Look out for such features of the problem at hand that may be useful in solving the problems to come- try to disclose the general pattern that lies behind the present concrete situation.
从手头上的题目找出一些可能用于解决今后题目的特征,揭示出当前具体情况背后的普遍模式。
9.Do not give away your whole secret at once – let the students guess before you tell it – let them find out themselves as much as is feasible.
不要把你的全部秘密一股脑地倒给学生,让他们先猜测,尽可能找出更多的东西。
10.Suggest it, do not force it down their throats. Let them make the great discoveries!
提出自己的建议,但不是填鸭式的传授。让他们做出伟大的发现。
with love and added comments from D. Poss

thanks Lauralee ~

On this day..

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