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谈大学数学教学中一题多解的意义
引用本文:张雅轩.谈大学数学教学中一题多解的意义[J].长春师范学院学报,2014(4):139-142.
作者姓名:张雅轩
作者单位:中国民航大学理学院,天津300300
基金项目:中国民航大学教研项目“基于CDIO和卓越班《线性代数》课程的教学改革探索与实践”
摘    要:本文针对数学例题,分别运用几何方法、代数方法和分析方法进行分析和求解,揭示不同方法之间的内在联系,体现数学分支的交叉融合.由此说明大学数学教学中一题多解的意义在于使学生更直观地认识到数学科学不同分支之间的内在联系和巧妙转化,深刻地领悟其中蕴含的数学思想,灵活地把握其中运用的数学方法,从而提高学生的数学能力.

关 键 词:一题多解  交叉融合  数学思想方法  教学意义

On the Importance of Multi-answer Problems in College Mathematics Teaching
Institution:ZHANG Ya - xuan ( College of Science, Civil Aviation University of China, Tianjin 300300, China)
Abstract:In this paper we introduce a mathematical problem and present its geometrical,algebraic and analytic solving methods respectively.Then we reveal the inner relation between among methods and the cross amalgamation of different mathematical branches.This indicates the importance of multi-answer problems in college mathematics teaching.It provides students with the ability to transformation between mathematical branches vividly,to appreciate mathematical ideologies more deeply,and to understand the inner relation and use mathematical methods more flexibly.It eventually enhances the students' mathematical ability.
Keywords:multi-answer problem  cross amalgamation  mathematical ideology and methodology  teaching significance
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