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当前数学教学中有两个应改变的倾向。一种倾向是忽视结合知识发生的全过程给学生以必要的训练:从概念的抽象,理论的推演,方法的导出,甚至到例题的分析,都只由教师来讲解,只要求学生听懂(其实常常仅是未发现矛盾),然后学生则记住一些结论,通过大量做题获得训练。这样,做题前既未做好概念、理论、方法上的准备,往往只能照例题去套,对有综合性或需灵活思考的题目,则直到高中毕业时还不会处理;至于做题之后通过分析、讨论、小结以充分消化有关知识并概括出
There are two tendencies to change in current mathematics teaching. One tendency is to ignore the whole process of combining knowledge to give students the necessary training: from the abstraction of the concept, the deduction of the theory, the derivation of the method, and even the analysis of the example, all are explained only by the teacher and only require the students to understand ( In fact, it is often only that no contradiction is found. Then the student remembers some conclusions and obtains training through a large number of questions. In this way, there is no preparation for concepts, theories, and methods before doing questions. Often, they can only be solved according to examples. For topics that are comprehensive or need flexible thinking, they will not be processed until they graduate from high school; After analysis, discussion, and summary to fully digest the knowledge and outline