在讲解二项式定理中的一个例题时,从给出的解法中发现,学生还不会运用已学过的知识,或者想不到运用二项式展开式通项公式解决问题,这一现象非常普遍。本文通过分析三个普遍存在的教学设计,结合中职生的现状,认为立足数学基础,把握数学本质,可以达到数学课有效教学的目的。 When explaining an example in the binomial theorem, it is found that it is quite common for students to find out from the solution that they have not used the knowledge they have learned or to solve the problem by using the general formula of the binomial expansion. . By analyzing three ubiquitous teaching designs and combining the current situation of secondary vocational school students, this article thinks that based on the foundation of mathematics and grasping the nature of mathematics, the purpose of effective teaching of mathematics can be achieved.