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美国著名数学家G·波利亚说:“一个专心的认真备课的教师能够拿出一个有意义的但又不太复杂的题目,去帮助学生发掘问题的各个方面,使得通过这道题,就好象通过一道门户,把学生引入一个完整的理论领域”。 事实上,教材中的许多例题、习题往往隐藏着一些学生尚未发现的“奥秘”,本文谈谈教师在“认真备课”的基础上如何来挖掘例习题作为学生探索这些“奥秘”的门户。
The famous American mathematician G. Polya said: “A concentrating teacher who prepares lessons seriously can come up with a meaningful but not too complicated topic to help students explore all aspects of the problem, so that through this question, It seems that through a portal, students are introduced into a complete theoretical field." In fact, many examples and exercises in textbooks often hide some “mysteries” that students have yet to discover. This article talks about how teachers can excavate examples as a gateway for students to explore these “secrets” on the basis of “conscientious preparation of lessons”.