论代数公理化体系与中小学数学教学  

On Algebraic Axiomatic Systems and Mathematics Teaching in Primary and Secondary Schools

作　　者：谢祥云[1] 杨蕙荥 

机构地区：[1]五邑大学数学与计算科学学院,广东江门529020

出　　处：《五邑大学学报（自然科学版）》2017年第3期13-19,共7页Journal of Wuyi University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(1361027;11271040);广东省自然科学基金资助项目(2014A030313625);广东省教育厅省级重大项目(自然科学类)(2014KZDXM055);五邑大学2016年省级(校级)研究生教育创新教育类项目(2016SFKS_40;YJS-SFKC-16-01);广东省教学改革项目(GDJX2016016)

摘　　要：数学公理化方法是研究数学的重要方法,代数公理体系是数学公理体系中的子系统.代数系统是集合连同满足某个公理体系的运算合称.中小学数学中处处体现公理化思想,因此在中小学数学教学中讲授代数公理化体系必要且可行.本文从公理化方法、代数公理体系、中小学代数教育及代数公理化在中小学教学中的作用几个方面来阐述.Axiomatic methods play an important role in mathematics. The Algebraic axiomatic system is a subsystem of axiomatic systems of mathematics. Axiomatic methods permeate in primary and secondary schools mathematics teaching, so it is necessary and feasible to teach algebraic axiomatic systems in primary and secondary schools. This paper is illustrated from several aspects of Axiomatic methods, Algebraic axiomatic systems, the algebra education in primary and secondary schools and the role of algebraic axioms in primary and secondary schools mathematics teaching.

关 键 词：代数公理化体系 公理化方法 中学数学 

分 类 号：O152.7[理学—数学]