浅谈如何提高近世代数的教学质量  

On How to Improve Teaching Quality of Algebra

作　　者：黄影[1] 

机构地区：[1]沈阳师范大学数学与系统科学学院,沈阳110034

出　　处：《沈阳师范大学学报（自然科学版）》2010年第4期568-570,共3页Journal of Shenyang Normal University:Natural Science Edition

基　　金：辽宁省高等学校科学研究项目(2009A666)

摘　　要：针对近世代数内容抽象,学生学习热情不高这一特点,从五个方面讨论了提高课堂教学质量的方法,其中包括概念教学、定理学习方法、典型证法总结、反例列举和提高学生学习兴趣的策略,概念教学是指在讲授概念时结合实例进行深入细致的分析,讲解定理时,更加重视对定理成立的条件的分析,校正易出现的错误理解。典型证明方法总结是使其学好近世代数的关键,这使抽象的问题更加具体化。反例列举授课法对开拓学生思维大有裨益。通过对例题的分析来体现如何在近世代数的教学中培养学生的逻辑思维能力和创新能力,变被动学习为主动学习,为培养研究型人才打下坚实的基础。Corresponding to the characteristic of the abstract content of mordern algebra and students＇ low enthusiasm towards it,the paper discusses the ways on how to improve class teaching quality in five aspects,including concepts teaching,theorem studying methods,typical proof methods,counterexample enumeration and strategies for stimulating students＇ interest on the subject.Concepts teaching is to make profound and detailed analysis.In theorem explaination,analysis on conditions under which the theorem holds should be emphasized,as well as the correction of misunderstanding on it.Summary on typical proof methods and counterexample enumeration enlarges student＇ view teaching methods and stimulate students＇ interest.Students＇ logic thingking and innovation abilities are cultivated in the course of typical question teaching,and a solid foundation for cultivating reseach-typed talent is laid.

关 键 词：群的同态 循环群 子群 证明方法 反例 

分 类 号：G642[文化科学—高等教育学]