高校数学类课程案例式实验教学方法研究

Research on Case Based Experimental Teaching Method for Mathematics Courses in Colleges and Universities

摘要: 数学类课程是高等院校大部分专业都开设的基础课程，这些课程基础性强、涉及学生人数众多，对学生知识与能力的培养至关重要。实验教学作为一种新的数学课程教学模式，其主要目的是引导学生进入做数学的境界，激发学生动手和探索的兴趣，借助一些数学软件设计分析和解决一些经过简化的实际问题，从而体验应用数学理论知识解决实际问题的过程。本文“以学生为中心”，探索结合案例式教学与实验教学各自的优势，将案例教学与实验教学进行有机融合，研究一种面向高校数学类课程的案例式实验教学方法，并运用Matlab构建一套《高等数学》案例式实验教学系统平台。

Abstract: Mathematics courses are basic courses offered by most majors in colleges and universities. These courses are highly basic and involve a large number of students, and are crucial to the cultivation of students’ knowledge and abilities. As a new teaching model for mathematics courses, the main purpose of experimental teaching is to guide students into the realm of doing mathematics, stimulate their interest in handson and exploration, analyze and solve some simplified practical problems with the help of some mathematical software design, and experience the process of applying mathematical knowledge to solve practical problems. This article is “student centered”, exploring the advantages of combining case teaching and experimental teaching, organically integrating case teaching and experimental teaching, researching a case based experimental teaching method for college mathematics courses, and using Matlab to build a case based experimental teaching system platform for Advanced Mathematics.