高等数学教学中的中学数学知识衔接思考  

On the Connection of Middle School Mathematics and Advanced Mathematics Teaching

作　　者：李兴贵[1] 饶若峰[1] 

机构地区：[1]成都师范学院数学学院,成都611130

出　　处：《成都师范学院学报》2017年第1期122-124,共3页Journal of Chengdu Normal University

基　　金：四川省卓越教师教育培养计划改革试点项目"卓越初中数学教师‘模块+平台+阶段’培养模式研究"(川教函[2016]681号)研究成果

摘　　要：高等数学中的数列极限、函数极限、函数列极限、连续函数、可积函数、反常积分、数项级数、函数项级数等诸多知识点的教学中都可以和中学数学的基础知识概念,如映射,建立知识链接。高等数学教学中新课引入阶段和课堂小结阶段,适度引入中学基础知识和概念,能够起到承上启下、温故知新、画龙点睛等良效。试图通过高等数学核心问题——微分、积分与中学数学基础概念——映射之间的一个教学衔接问题,展示大学数学教学中与中学数学基础衔接的必要性和重要意义。Some conceptions in the advanced mathematics,such as the limit of number sequence,the limit of function,the continuous function,the integrable function,the abnormal integral,the number of series,the series of functions,and so on,can be involved in basic knowledge of mathematics in middle schools,for example,mapping.In teaching the advanced mathematics,moderate introduction to middle school mathematics can play a connecting link between the preceding and the following,particularly in the new curriculum introduction or the stage of summary.In this paper,the authors try to illustrate the knowledge link of the advanced mathematics core problem(differential,integral)and the middle school mathematical basic concept-mapping,which implies the necessity and importance of the above connection.

关 键 词：映射 极限 可积函数 收敛级数 课堂教学 

分 类 号：O175[理学—数学]