浅谈数学分析课程的教学

<数学分析>是数学教育、数学与应用数学等专业的专业基础之一,它的教学时间跨度长,是解决许多理论和实际问题的有效工具,也为大量后续课程提供了必要的方法和基础,对于数学分析的教学,历来是数学教育工作者的热门话题.结合前人的工作,认为在数学分析的教学实践中要渗透哲学思想;抓住课程的主要结构;要渗入现代数学的思想、观点和方法;要使用现代信息技术、加强数学形象化教学;要讲到数学分析与其他数学分支和学科的渗透和联系;要强化数学模型思想,培养解决实际问题的能力等.

About Teaching the Course of Mathematical Analysis

The Course of Mathematical Analysis is one of fundamental courses in Maths education, Maths and Applied Mathematics majors.As an effective tool of solving theoretical and practical issues, it has a long-time teaching span and provides necessary methods and bases for continued courses, which has been a heated topic in the academic field.This paper mainly puts forward some own ideas concerned with issues in the teaching practice: dialysis of philosophical thought in teaching; mastering the chief course structure with the modern Maths ideas and methods; using modern information technology and strengthening symbolic Maths teaching; combining Maths Analysis with other branches; reinforcing the thought of Maths model and training the ability of solving practical issues.