独立学院n维向量空间的教学改革

Teaching reform ofn-dimensional vector space in independent college

作为数学专业基础课的高等代数课程,对于独立院校数学专业而言,是一门重要而又难学的课程.高等代数有着深刻的几何背景,教师在进行教学设计时,要巧妙借助向量空间的几何背景来优化教学.以n维向量空间为例,结合数学学习论理论,给出相关的教学建议,从而达到提高教学质量的目的.

As a basic course in mathematics major,advanced algebra is important and difficult to learn for students of independent colleges.Advanced algebra has a profound background of geometry,teachers must rely on geometric background of vector space to optimize teaching.Taking the n-dimensional vector space as example,gave some suggestions to improve teaching quality based on mathematical theory of learning theory.