数学分析课程的优化与变革研究  

On Course Reformation of Mathematics Analysis

作　　者：胡凯[1] HU Kai(School of Mathematics and Statistics, Southwest University, Chongqing 400715, China)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南师范大学学报（自然科学版）》2021年第10期159-164,共6页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：2018年数学与统计学院教育教学改革研究项目;国家自然科学基金项目(11901475).

摘　　要：近年来本科生的知识结构与水平已发生显著改变,国家的科技发展战略也逐步调整.现行的数学分析课程内容与教学方案已不能完全满足新时代人才的培养需求.本文深入剖析了数学分析课程的内容设置与课堂教学的现状,指出了当前面临的知识衔接不足、教学方式单一、重理论轻应用等方面的突出问题,阐述了数学分析课程改革的必要性和迫切性.依循我国高等教育课程的改革趋势,有针对性地提出了整合资源、创新手段、交叉融合、面向应用的建设思路;实现课程知识完备化、差异化,内容的立体化、应用化,教学资源可视化、互动化.并结合具体案例阐述了各种措施的特点、作用和可行性,旨在探索本科数学分析课程改革的优化方案,打造顺应时代发展的数学分析课程.The knowledge of undergraduates gradually varies in recent years.Current content and teaching programme of mathematical analysis cannot satisfy the new demand of professional education.An intensive analysis is made on content and practical situation of this course.Main problems involve the knowledge gap between secondary and tertiary education,inadequate lessons on application and so on.According to the trend of curriculum reformation in tertiary education,a package of programmes has been proposed in this paper,which includes resource optimization,approach innovation,courses interplay,application enhancement.The features,function and feasibility of above programmes are discussed in detail.This paper provides a constructive plan of course reformation of mathematics analysis.

关 键 词：数学分析 课程改革 技术革新 应用导向 

分 类 号：G642.0[文化科学—高等教育学]