基于问题解决的线性代数概念教学  

On the concept learning method in linear algebra based on the problem solving

作　　者：刘耀军[1] 张姗梅[2] 

机构地区：[1]太原师范学院计算机科学与技术系,山西晋中030619 [2]太原师范学院数学系,山西晋中030619

出　　处：《高师理科学刊》2016年第2期50-54,共5页Journal of Science of Teachers＇College and University

基　　金：山西省教育厅教学改革项目(J2015137)

摘　　要：概念是线性代数教学的基础,概念教学既是教学的重点,也是教学的难点.学生存在着为什么引入这些概念,为什么这样定义这些概念等疑问.教材中存在着概念引入分析不到位、概念强行引入等问题.教师作为学生与教材之间的纽带,必须按照"教师为主导,学生为主体"的教学原则,根据学生已有的知识基础,遵循"从具体到一般、从感性认识到理性认识"的认知规律,采取"探究式"教学方法,以适应"创新精神、创新意识和创新能力培养"的要求,审视概念的教学.教学实践表明,基于问题解决的线性代数概念教学是一个有效的方法.Concept is the foundation of the linear algebra learning, the concept learning is the focal point in teaching but it is also the difficult learning point. Student doubt why the concept is introduced and why the concept is defined in this manner. There are some questions about the introduction of the concept in textbooks such as the analysis is not thorough and the concept is intruded. As the bridge between students and the textbooks teachers must be in accordance with the teaching principle which takes the teacher as leading and takes the students as the main body. According to the students＇ existing knowledge background, and following the cognitive law of start from specific to general, and from perceptual to rational knowledge, and using the inquiry teaching methods, and adapting to the training of the spirit, consciousness and ability about the innovation, teachers must reexamine the concept teaching. The teaching practice showed that the concept teaching method in linear algebra based on the problem solving is an effective way.

关 键 词：行列式 矩阵 初等变换 线性相关性 二次型 

分 类 号：O151.2[理学—数学] G642.0[理学—基础数学]