建模思想在“数学分析”教学中的应用

Application of Modeling Ideas in the Teaching of Mathematical Analysis

摘要: “数学分析”是数学专业的一门基础学科，它在产生和发展的过程中，一直是和各种各样的应用问题紧密相连的。建模思想是可以根据实际问题来设计教学，不仅能提高学生的学习兴趣，更有助于培养学生的创新研究能力，而且建模过程中每阶段的拓展能给不同层次的学生带来不同的收获。本文以曲率为例，研究建模思想在“数学分析”教学中的应用。

Abstract: “Mathematical analysis” is a basic discipline of mathematics. In the process of its production and development, it has been closely connected with various application problems. Modeling ideas can design teaching according to practical problems, which not only can improve students’ learning interest, but also help to cultivate students’ innovative research ability. Moreover, the expansion of each stage in the modeling process can bring different levels of students reward. This article takes the curvature as an example to study the application of modeling ideas in the “mathematics analysis” hierarchical teaching.