线性代数教材改革指导思想探析

Practices and Thoughts on Linear Algebra Textbook Reform

论述线性代数教材改革的必要性及其指导思想,主张线性代数教材建设应以矩阵为主线,以教育部颁发的硕士研究生入学考试线性代数部分的大纲为纲,结合教学现代化的现状,强调几何与代数相结合,重视代数学思想方法的渗透,化抽象为具体,同时在教学中还要引入数学建模的思想.

In this paper, practices and thoughts about linear algebra textbook reform are shared. The author believes that linear algebra textbooks should be written so that the matrix theory becomes the main focus as advocated by the Ministry of Education for Graduate Entrance Examination. With the modern teaching tools, meaningful combination of geometry and algebra, suitable penetration of mathematical ideals, and helpful realization of abstract concepts can all be emphasized. At the same time, mathematical modeling should be also introduced.