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高等数学一题多解样例教学中的变式思维
引用本文:董锦华,耿秀荣.高等数学一题多解样例教学中的变式思维[J].毕节学院学报,2016(1):132-138.
作者姓名:董锦华  耿秀荣
作者单位:桂林航天工业学院理学部,广西 桂林,541004
基金项目:桂林航天工业学院基金项目“本科合格课程建设研究”,项目编号2013HGKC02。
摘    要: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。

关 键 词:高等数学  一题多解  样例  变式思维

The Variant Thinking during Example Teaching of Multi-solution Questions in Higher Mathematics
DONG Jin-hua,GENG Xiu-rong.The Variant Thinking during Example Teaching of Multi-solution Questions in Higher Mathematics[J].Journal of Bijie University,2016(1):132-138.
Authors:DONG Jin-hua  GENG Xiu-rong
Abstract: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.
Keywords:Higher Mathematics  Multi-solution Questions  Sample  Variable Thinking
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