在高等数学教学中引入数学建模思想的探索与实践

Exploration and Practice on the Introduction of Mathematical Modeling Ideas in Calculus Teaching

在高等数学教学中引入数学建模思想,将数学思想和数学方法的作用展示给学生,激发学生学习高等数学的兴趣和积极性,提高高等数学的教学质量.在高等数学教学中引入数学建模案例要遵循循序渐进、逐步深入的原则,随着课程的进展选择适合学生水平的建模案例.本文用范例形式介绍在高等数学教学中引入数学建模思想的探索与实践.

The introduction of the mathematical modeling ideas in teaching calculus is helpful to show the functions of mathematical ideas and methods for students,to motivate the interest and activity of students for studying calculus,and to improve the teaching quality of calculus.To make use of mathematical modeling examples in teaching calculus,we must follow the step-by-step principle and choose the mathematical modeling questions which are appropriate for the students.In this paper,we present our exploration and practice on the introduction of mathematical modeling ideas in calculus teaching by exemplification study.