Deep thinking and practice of the hierarchical teaching of undergraduate higher mathematics
本科高等数学分层次教学的深入思考与实践

摘要

随着知识经济时代的来临，国际及国内社会之间的竞争最终都可归结为人才的竞争，高校作为重要的人才培养基地，承担着为社会输出高素质复合型人才的艰巨任务，以满足社会发展和国际竞争的需要。高等数学是一门应用性较强的基础性学科，是学生后期学习其他课程的重要基础，能够有效培养学生的逻辑思维及运算能力。而分层教学法结合学生的个性特征及基础，针对学生具体情况进行分层分组授课，能有效提升本科高等数学教学质量和效果，体现了以学生为主体的教育理念，符合高等教育深化改革要求。文章探讨了分层次教学的重要性及当前大学本科数学教学中存在的问题，并进一步提出实践分层次教学的方法。

Abstract

With the advent of the era of knowledge economy, the competition between the international and domestic societies can be ultimately attributed to the competition of talents. As an important talent training base, colleges and universities bear the arduous task of exporting high-quality compound talents for the society to meet the needs of social development and international competition. Advanced mathematics is a basic subject with strong application, which is an important basis for students to learn other courses in the later period, and can effectively train students' logical thinking and operation ability. The stratified teaching method combines the individual characteristics and basis of students, and provides stratified group teaching according to the specific conditions of students, which can effectively improve the quality and effect of undergraduate higher mathematics teaching, embody the student-oriented education concept, and meet the requirements of deepening the reform of higher education. This paper discusses the importance of stratified teaching and the problems existing in undergraduate mathematics teaching, and further puts forward the method of practicing stratified teaching.