数学建模思想与高等数学教学融合实践

The Integration Practice of Mathematical Modeling Ideas and Advanced Mathematics Teaching

文章探讨了数学建模思想与高等数学教学的融合实践,旨在提高学生的学习兴趣,培养他们的创新思维和实践能力,进而提升高等数学课程的教学质量。文章首先分析了数学建模思想与高等数学教学的四个结合点:知识点的交融、思维方式的拓展、实践能力的提升,以及创新能力的培养。随后,提出了融合实践的策略与方法,包括引入真实世界的复杂性、强化数据驱动的思维、跨学科整合,以及培养批判性思维。这些策略旨在通过数学建模的桥梁作用,将高等数学与实际问题紧密相连,从而增强学生的数学应用能力和问题解决能力。

This article explores the integration of mathematical modeling ideas with advanced mathematics teaching,aiming to enhance students'interest in learning,cultivate their innovative thinking and practical abilities,and ultimately improve the quality of advanced mathematics teaching.The article first analyzes four integration points between mathematical modeling ideas and advanced mathematics teaching:the integration of knowledge points,the expansion of thinking modes,the improvement of practical abilities,and the cultivation of innovative abilities.Subsequently,strategies and methods for integrating practice were proposed,including introducing the complexity of the real world,strengthening data-driven thinking,interdisciplinary integration,and cultivating critical thinking.These strategies aim to closely connect advanced mathematics with practical problems through the bridging effect of mathematical modeling,thereby enhancing students'mathematical application and problem-solving abilities.