高等数学一题多解样例教学中的变式思维

The Variant Thinking during Example Teaching of Multi-solution Questions in Higher Mathematics

运用样例进行解题教学,会时常用到解题变式。其中的一题多解能够充分体现变式思维。运用不同数学分支中的方法、运用在同一数学分支中不同的数学原理、运用同一数学原理的不同时机与角度,都能解决同一个数学问题。因此,在高等数学一题多解样例教学中,应该注重培养学生的变式思维能力。

Examples are used to teach students how to solve the problem, which uses the variants of solv?ing the problems. As one of the variants, multi-solution questions can fully reflect the variant thinking. The same mathematical problems can be solved using methods of different mathematical branches, different princi?ples of the same mathematical branch, different opportunities and angles of the same mathematical principle. Therefore, during example teaching of multi-solution questions in higher mathematics, we should pay atten?tion to the students' ability of the variant thinking.