【摘要】 从心理学以及数学认知学角度,分析了线性空间概念的形式化定义以及学生面临的学习困难,提出一些新的线性空间概念的教学方法.强调通过对线性空间形式化定义的符号化和图形化及其相互转化,以及基于计算机代数系统软件Maple的可视化教学技术等教学方法,强化学生对线性空间这一抽象数学概念的理解,从而提高课堂教学质量.更多还原

【Abstract】 From the viewpoint of psychology and mathematical cognition,the formal definition of linear space and the students′ difficulties in learning this abstract concept was investigated,and some teaching approaches was presented.In particular,the verbal-symbolical-graphical representation of an abstract mathematical concept and the visual teaching technology by using of Maple was proposed in order to facilitate the students′ understanding and consequently enhance this course′s teaching quality.更多还原