无穷级数概念教学中两个悖论引例的对比思考  

Comparison and Thoughts About Two Antinomy Examples in Conception Teaching of Infinite Progression

作　　者：吕濯缨[1] 曹秀娟[1] 

机构地区：[1]山东科技大学公共课部,山东济南250031

出　　处：《河南教育学院学报（自然科学版）》2013年第4期54-56,共3页Journal of Henan Institute of Education(Natural Science Edition)

基　　金：山东科技大学济南校区优质课程项目(311040702)

摘　　要：概念教学一直是高等数学教学过程中的基础和核心环节,其中以生动实例引出所讲授概念是一个有效手段.在高等数学课程的无穷级数一章中,多数教师采用了芝诺的阿基里斯悖论作为概念教学引例,但相比较而言,两分法悖论的分析与讨论更加全面和深刻,对于引出无穷级数的概念和性质启发性更强,因此更适合作为无穷级数概念教学的引例.Conception teaching is always the basic and central part of higher mathematics teaching, in which the method of using examples is effective. In the chapter of infinite progression many teachers use antinomy of Achilles as the example of conception teaching. But comparing to antinomy of Achilles, antinomy of dichotomy is deeper to analyze and discuss. So antinomy of dichotomy which is more heuristic to study the conceptions and properties is more appropriate as an example for conception teaching.

关 键 词：无穷级数 概念教学 两分法悖论 阿基里斯悖论 

分 类 号：G642.0[文化科学—高等教育学]