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著名的数学教育家波利亚曾形象地指出:“好问题同某种蘑菇有些相像,它们都成堆地生长,找到一个以后,你应当在周围找一找,很可能附近就有好几个.”可见,数学教学中由一个基本问题出发,运用类比、联想、特殊化和一般化等思维方法,探索问题的发展变化,有利于发现问题的本质.本文对一道抛物线习题进行变式设计,一题多用、一题多变,由浅入深、举一反三,培养学生分析问题和解决问题的能力及创新能力.
Well-known mathematical educator Polyana once vividly pointed out: “The good question is somewhat similar to some kind of mushrooms. All of them grow in heaps. After finding one, you should look around for it. Probably there are several nearby . ”Visible mathematics teaching from a basic problem, the use of analogy, association, specialization and generalization of thinking methods to explore the development and changes of the problem, help to discover the nature of the problem.This paper on a parabolic exercise variant design , A multi-purpose question, a question changeable, from the shallower to the deeper, take advantage of the other hand, cultivate students ability to analyze and solve problems and innovation.