浅谈初中生数学分类讨论思想的培养

On the Cultivation of Junior Middle School Students’ Thoughts of Mathematical Classification Discussion

分类讨论思想是初中数学学习中一种重要的思想方法,但初中生往往缺乏分类讨论的意识,不会熟练地运用分类讨论的思想分析问题,导致思考问题不够全面,解题时存在漏解的现象。这就需要教师深入挖掘教材,在知识讲解的过程中渗透分类讨论的思想,以及提出一些需要区分各种情况进行分类讨论的问题,启发诱导,培养学生有条理,严谨地思考问题的习惯。这种思想方法对提高学生的数学素养和解题水平意义重大。

The idea of classification discussion is an important method of thinking in Junior high school mathematics learning, but junior high school students often lack the sense of classification discussion, not proficient in using the idea of classification discussion to analyze problems, resulting in insufficient comprehensive thinking problems and the phenomenon of missing solutions when solving problems. This requires teachers to dig deep into the textbooks, infiltrate the idea of classified discussion in the process of knowledge explanation, and put forward some problems that need to distinguish various situations for classified discussion, inspire and induce students, and cultivate students’ habit of thinking systematically and rigorously about problems. This method of thinking is of great significance to improve students’ mathematical literacy and problem-solving level.