高等代数教学中数学思维若干性质的两重性  

Duality of Some Properties of Mathematical Thinking in Advanced Algebra Teaching

作　　者：李伟[1] 

机构地区：[1]合肥师范学院数学系,安徽合肥230061

出　　处：《合肥师范学院学报》2009年第6期11-15,共5页Journal of Hefei Normal University

基　　金：合肥师范学院教学研究项目(JYZ2006001)

摘　　要：在师范院校数学系基础课程中,高等代数作为数学系最重要的基础课之一,在建构学生知识体系中起着重要的基础作用。高等代数的学习是比较困难的。学生课听得懂,但习题无从下手。因为它的抽象性,学生还不习惯、也没有这方面的思维基本训练。分析问题的原因,主要是学生的学习习惯,尤其是数学思维方法存在着缺陷。具体说对数学思维个性品质的两重性认识不够。本文通过高等代数教学,对存在着的七种优秀思维品质所具有的两重性进行了剖析,旨在教学中应引起足够的重视。In the elementary courses in normal universities, as one of the most important courses in mathematics department, advanced algebra plays an important role in constructing students＇ knowledge system, but as one of the difficult courses, students have a lot problems understanding it because they are not well-trained in mathematical thinking. Analyzing some causes such as students＇ learning habits, particularly the weakness in mathematical thinking method, specifically, poor awareness of duality of some properties of mathematical thinking, this paper makes a detailed discussion on seven excellent thinking properties with duality so as to draw adeauate attention from teaching.

关 键 词：高等代数 数学思维 思维品质 两重性 

分 类 号：G642.0[文化科学—高等教育学]