基于几何直观和工程应用的向量空间启发式教学研究  

On Heuristic Teaching of Vector Space Based on Geometric Intuition and Engineering Application

作　　者：王飞[1] 廖晓峰[1] 郭松涛[1] 詹明[1] 

机构地区：[1]西南大学电子信息工程学院,重庆400715

出　　处：《西南师范大学学报（自然科学版）》2016年第3期196-201,共6页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(61402381);西南大学教育教学改革项目(2013JY36;2014JY061)

摘　　要：对工科线性代数的教学,围绕向量空间及其相关概念,以学生为中心,从几何直观、实际应用的角度讲解抽象知识点的教学模式进行了探讨.提出借助几何图形、工程应用问题来引导学生理解抽象知识点的想法,并给出了若干教学案例,希望藉此提高学生的学习兴趣,培养他们利用数学解决实际问题的能力.For the teaching of linear algebra in engineering,revolving around vector space and its related concepts,the teaching model,which is＂student-centered＂and is based on geometric intuition and practical engineering application,has been discussed in this article.The idea that geometric figures and engineering application problems should be introduced to help students understand the abstract knowledge in linear algebra has been proposed,and a number of teaching cases also been presented.We hope that this teaching model can raise studentsinterest in learning and cultivating their ability to use mathematics to solve practical problems.

关 键 词：线性代数 向量空间 几何直观 实际工程应用 

分 类 号：G420[文化科学—课程与教学论]