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我时常听说:“那不是我们所学的方法,去年我们老师的做法要简单得多。”而在观察了这个较简单的方法之后,就会发觉解不是不完全,就是不正确。通常会出现下面所列三者之一:1.学生忘记了某些东西;2.学生对所见到的特殊解法做了不正确的推广;3.学生所见到的方法仅对某些类型的问题“奏效”。
I often heard that: “That was not what we learned. Last year our teacher’s approach was much simpler.” After observing this simpler method, you will find that the solution is either incomplete or incorrect. Usually one of the following three categories will appear: 1. The student has forgotten something; 2. The student improperly promotes the special solution he has seen; 3. The student sees only certain types of methods The problem “works.”