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关于数学概念拓广的几种途径
引用本文:徐本顺,阴东升. 关于数学概念拓广的几种途径[J]. 陕西师范大学学报(自然科学版), 1991, 0(4)
作者姓名:徐本顺  阴东升
作者单位:曲阜师范大学科学方法论研究中心,曲阜师范大学科学方法论研究中心
摘    要:给出了数学概念拓广的四种具体途径:背景回归抽象法,推论特征化方法,层晰法和组合法;并指出了对数学概念类进行一般化系统分析,不仅有助于理解数学,而且也有助于研究和发展数学.

关 键 词:数学方法论  数学概念  层晰法  组合法  子序

On several channels to open up and extend mathematical concepts
Xu Benshun Yin Dongsheng. On several channels to open up and extend mathematical concepts[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 1991, 0(4)
Authors:Xu Benshun Yin Dongsheng
Abstract:Four concrete channels to open up and extend mathematical concepts are given,show as follows:the abstract method to come back to the original background,the method of consequence by characteristic,the stratifies-clear method and conbinatorial method.The mathematical concepts are carried on systems analysis of generalization not only to help to understand and study mathematics but also to help to develop mathematics.
Keywords:mathematical methodology  mathematical concepts  stratifies-clear method  conbinatorial method  suborder  
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