中学新课标背景下高师近世代数群定义的教学探究  

Teaching approach to the definition of group in modern algebra for normal college under new curriculum criterion

作　　者：林记[1] 姚云飞[1] 张杰[1] 

机构地区：[1]阜阳师范学院数学与计算科学学院,安徽阜阳236037

出　　处：《阜阳师范学院学报（自然科学版）》2013年第4期95-98,共4页Journal of Fuyang Normal University(Natural Science)

基　　金：国家级特色专业"数学与应用数学"建设项目(TS11496);阜阳师范学院教学团队(2010JXTD01);阜阳师范学院精品开放课程(2012KFKC10);阜阳师范学院教研项目(2010JYXM41);阜阳师范学院基础教育研究专项重点课题(2012JCJY04);阜阳师范学院自然科学研究项目(2013FSKJ07)资助

摘　　要：解读中学新课标对"对称与群"专题的要求,分析了高师近世代数课程群论的特点。从高中选修课需要的角度,提出高师近世代数介绍群定义的教学策略:借助正多边形的对称性,引入定义;挖掘群的内涵和外延,理解定义;重新认识特殊的群,巩固定义。The criterion of symmetry and group and the characteristics of modem algebra for normal college are analyzed. Considering the needs of high school elective courses, we proposed some strategies for teaching the definition of group in modem al- gebra for normal college, such as introducing the definition hy the symmetry of regular polygon, understanding the definition by ex- ploring the intension and extension of group, and consolidating the definition by reconsidering the special groups.

关 键 词：中学新课标 高师近世代数 群定义 教学探究 

分 类 号：G424.1[文化科学—课程与教学论]