Educational method of inverse thought in mathematical proof

Journal of Chongqing Jiaotong University(Natural Science) ›› 2005, Vol. 24 ›› Issue (1): 158-160.

Educational method of inverse thought in mathematical proof

WANG Bin

Institue 0f Mathematics and Applied Mathematics，Chongqing Jiaotong University，Chongqing 400074，Chian

Received:2004-03-15 Online:2005-02-15 Published:2015-05-18

数学证明中的逆向思维教学法

王斌

重庆交通学院数学与应用数学研究所重庆400074

作者简介:王斌(1962一)，男，四川大竹人，副教授，主要从事高等数学，概率统计，数学建模，教育理论，教育管理等方面的研究。

Abstract

Abstract: Inthis paper weintroducedthe concept finvea,thought educationalmethodinmathematical proof，anadysedits ctllreir pro0f，studiedthe dialectical relation thoughtfultraining and ability development ， listed some classical examples abouttraining and devdoping mathematical inverse.

Key words: higher mathematics, mathematical thought, inverse thought, ability development

摘要： 笔者在文中提出了数学证明的逆向思维教学法概念，剖析了数学证明模式的逻辑结构，分析了数学逆向思维训练与能力培养的辨证关系，列举了若干训练和培养数学逆向思维的典型实例

关键词: 高等数学, 数学思维, 逆向思维, 能力培养

CLC Number:

WANG Bin. Educational method of inverse thought in mathematical proof[J]. Journal of Chongqing Jiaotong University(Natural Science), 2005, 24(1): 158-160.

王斌. 数学证明中的逆向思维教学法[J]. 重庆交通大学学报（自然科学版）, 2005, 24(1): 158-160.