基于建构主义的高职微积分教学方法探讨

Research on Constructivism Based Teaching Method of Calculus

微积分是高职院校一门非常重要的基础课程 ,是学生学习专业课程的基础和工具。传统的微积分教学基本上是传授型 ,重理论轻应用 ,忽视概念产生的实际背景和方法的实际应用 ,学生学起来感到困难 ,学了不知道如何用于解决实际问题。该文从微积分的内容、教材的编写、教师的教学、学生的学习态度与方法四个方面分析了当前微积分教学中存在的问题 ,提出以建构主义学习理论为指导对微积分的教学进行改革 ,对从微积分发展史出发建构教学内容、以问题为中心组织教学、利用计算机进行微积分概念的辅助教学。

Calculus is often difficult for beginners and a challenge to the teachers.This paper first analyzes why it is difficult to teach and learn calculus.Then from the historical and philosophic point of view and under the guidance of the theory of math constructivism.We build up calculus contents which centre around the four foundamental problems,leading to the model of 'one_method,two_concept,two_definition and one_law.'Finally,we direct the students to solve some practical problems,using the mathematical model based on calculus.