在常微分方程教学中融入数学建模思想探析

An Analysis of Permeating Mathematical Modeling Thought in Ordinary Differential Equation Teaching

论文首先分析了常微分教学的现状与存在的问题,然后从学科特点、课程设置、教学改革与人才培养四个角度分析了在常微分方程课程教学中融入数学建模思想的重要意义,由此论证了在常微分方程课程教学中融入数学建模思想是非常必要的。最后,文章从强调方程来源的实际背景、结合数学建模充实教学内容、调动学生应用理论解决实际问题这三方面,给出了在常微分方程课程教学中融入数学建模思想的一些可供借鉴的具体方法与措施。

This paper analyzes first the current status and problems of the ordinary differential equation teaching, and then the signifieance of permeating mathematical modeling thought in ordinary differential equation teaching, from the following four perspectives： subject characteristic, curriculum provision, education reform, personnel training, that demonstrate the necessity of such permeating. Some useful methods and suggestions to realize the permeating are also presented at the end of the paper, such as emphasizing the factual backgrounds of the equations, combining mathematics modeling to enrich the course and stimulating students＇ enthusiasm to solve practical problems.