摘要
本文引入了描述数学概念抽象程度的几个量性指标:聚度、散度、长度和抽象度。并利用有向图这一图论工具对教学概念的抽象结构做了量性分析。从而为从定量角度研究数学概念提供了一个新的方法—抽象结构分析方法。这对中学数学教育和大学数学教育都有着重大意义。
In this paper, we use quantity to discribc the abstract construction relationship: degree of assembly, degree of spread, degree of length and degree of abstract, and use directed graph to show abstract construction of mathematics concept. Thereby, analytical method of abstract construction is put forword for mathematics education.
出处
《哈尔滨师范大学自然科学学报》
1994年第3期6-12,共7页
Natural Science Journal of Harbin Normal University
关键词
聚度
散度
长度
有向图
抽象结构分析
数学
概念
Degree of assembly
Degree of spread
Degree of length
Degree of abstract
Directed graph
Analytical method of abstract construction.