“线性代数”课程的探索和创新

Explorations and Innovations for Teaching and Learning Linear Algebra

针对"线性代数"课程在教学过程中遇到的问题和困难,从教材的建设和教学的方式、方法、手段等方面进行了探索。特别地,在教材建设方面,在知识构架、内容设计、双语改革三个方面对教材进行创新编排,并正式出版了教材;在教学中采用了一些新的做法,如强调各知识点的应用背景、贯彻初等变换这一主线、坚持讲思路讲方法讲思维方式、渗透算法设计分析的思想、创新双语教学的模式。

In terms of the problems and difficulties encountered in the process of teaching linear algebra,we made some helpful explorations including the construction of textbook,and the modes,methods and tools for teaching. Particularly,on the aspect of construction of the textbook,we have preceded some innovative edits for the textbook on three aspects,namely,the knowledge framework,the content design,and the bilingual reformation; as a result,we have published a textbook formally. In the teaching process,we adopt some new practices,such as emphasizing the application backgrounds of the knowledge,implementing the main line of elementary transformations,insisting on the ideas,methods and the way of thinking,permeating the idea of design and analysis of algorithms,and innovating the pattern of bilingual education.