问题教学法在高等数学教学中的实践和运用  

The Implementation and Practical Application of The Problem-Based Teaching Method in Advanced Mathematics Education

作　　者：王攀[1] Wang Pan(School of Science Xuchang University,HenanXuchang 461000)

机构地区：[1]许昌学院数理学院,河南许昌461000

出　　处：《科技风》2025年第7期54-57,共4页

基　　金：2021年度许昌学院教育教学改革研究与实践项目(XCU2021-YB-043)。

摘　　要：在高等数学教学中,优化教学模式以提升教学效果,是我们需要持续探索与实践的课题,也是当前高等教育教学改革的一个重要方向。本文阐述了问题教学法的内涵以及将其实施在高等数学教学中的意义,并以判定正项级数敛散性为例,引导学生设置一系列问题,通过对这些问题的分析和解决,让学生充分理解并掌握正项级数敛散性的判定方法,还深入讨论了在高等数学教学中实施问题教学法时应注意的事项,以便更好地提升教学质量和教学效率。In the teaching of advanced mathematics,optimizing the teaching mode to enhance the teaching effect is a subject we need to continue to explore and practice,and it is also an important direction of the current teaching reform in higher education.This article initiates by elucidating the fundamental concepts of the problem-based teaching approach and the significance of its implementation in the teaching of advanced mathematics.It employs the analysis of convergence for positive-term series as a demonstration,guiding students in constructing a series of questions,which,through their examination and resolution,enables them to fully grasp and internalize the methods for assessing the convergence of such series.Finally,this article thoroughly examines the essential aspects to be mindful of when employing problem-based teaching in advanced mathematics,with the ultimate goal of improving both teaching standards and efficiency.

关 键 词：问题教学法 高等数学 教学改革与实践 正项级数 

分 类 号：O193[理学—数学]