常微分方程核心课程教学改革  

作　　者：陈爱敏[1] 

机构地区：[1]河南大学,河南开封475004

出　　处：《高教学刊》2025年第5期128-131,共4页Journal of Higher Education

基　　金：河南省高等学校重点科研项目“植物生物钟分子调控机理的建模分析及应用”(23A110016);河南大学本科专业核心课程提质建设项目“常微分方程”;河南大学数学与统计学院教学质量工程提升项目“《常微分方程》国家一流课程建设”。

摘　　要：常微分方程课程是数学类专业基础课中的一门核心课程,也是数学分析、高等代数和解析几何的后继课程。在学生构建专业的数学理论体系过程中具有非常重要的作用。该文基于河南大学数学与统计学院分设的四个专业各自的不同特点,从课程教学目标、教学方法与学生学习能力提升等方面提出关于常微分方程课程分类、分层等教学模式改革,充分发挥教学团队的优势,借助在线教学平台,最大可能实现以学生为主体的教学模式,构建新的评价体系,在合适的节点融入思政元素,加强课程思政引领。力争通过改革实现更加适应当今教育理念和更加符合学生时代特征的教学模式。The course Ordinary Differential Equations is a core course in the basic courses of mathematics majors,and it is also a successor course to Mathematical Analysis,Advanced Algebra,and Analytical Geometry.It plays a very important role in the process of students building a professional mathematical theoretical system.This paper based on the different characteristics of the four majors set up by the School of Mathematics and Statistics of Henan University.From the aspects of course teaching objectives,teaching methods,and students'learning ability improvement,this paper proposes reforms in teaching models such as classification and stratification of ordinary differential equations courses,fully leveraging the advantages of teaching teams,and utilizing online teaching platforms to achieve a student-centered teaching model as much as possible,and constructing a new evaluation system,integrating ideological and political elements at appropriate nodes to strengthen the guidance of ideological and political education in the curriculum.The study strives to achieve a teaching model that is more suitable for today's educational concepts and more in line with the characteristics of the student era through reform.

关 键 词：常微分方程 核心课程 分类教学 分层教学 团队教学 

分 类 号：G642[文化科学—高等教育学]