摘要
高等代数课程的重要研究对象是有限维空间的线性理论,此部分内容具有较强的抽象性.然而高等代数所讨论的有限维空间是二维、三维几何空间的抽象和推广,因此诸多定义和方法都有相应的几何背景.将高等代数的某些抽象概念与其几何背景相结合,进而把数形结合思想运用到高等代数的教学中.特别地,针对一些具体的教学案例进行了分析.借助几何方法学习抽象概念对学生理解高等代数课程有着重要的意义.
The important research object of the advanced algebra courses is linear theory of the finite dimensional spaces,which is very abstract.However,the finite dimensional space discussed in advanced algebra is the abstraction and generalization of two-dimensional and three-dimensional geometric spaces.Therefore,many definitions and methods have corresponding geometric backgrounds.The abstract concepts of advanced algebra and its geometric background are combined firstly.Moreover,the idea of combination of numbers and shapes is applied in the teaching of higher algebra.Especially,some specific teaching cases are investigated.It is of great significance for students to understand the advanced algebra courses by using geometric methods to study abstract concepts.
作者
段景瑶
DUAN Jing-yao(School of Mathematics and Infommtion Science,Baoji University of Arts and Sciences,Baoji 721013,China)
出处
《高师理科学刊》
2018年第7期70-73,共4页
Journal of Science of Teachers＇College and University
基金
宝鸡文理学院第十二批教学改革项目(17JGYB37)
关键词
高等代数
几何背景
数形结合
advanced algebra
geometric background
combination of numbers and shap
