以线性空间为主线的线性代数内容体系设计

Design of Linear Algebra Content System Based on Linear Space

摘要: 线性代数作为一门应用广泛的工具学科，理解和掌握课程内容对于解决实际问题非常重要。但由于课时等客观因素的限制，很难充分发挥课程对学生能力和素质的培养作用。为了突出课程的核心内容，发挥课程的育人作用，本文以线性空间为主线，对课程的内容体系重新进行了梳理和设计，并在此基础上进一步讨论了课程的应用模式。希望能够为线性代数的课程教学提供有益参考。

Abstract: As a widely used tool subject, understanding the course content of linear algebra is important for solving practical problems. However, due to the limitation of objective factors such as teaching arrangement, it is difficult to give full play to the role of curriculum in cultivating students’ ability and quality. In order to highlight the core content and the role of the course, the linear space is taken as the main line, and other points are reconstructed around it. The application mode of the course is further discussed at last. It is hoped that provide useful reference for the teaching of linear algebra.