“线性代数”教学改革的实践和思考

Practice and Thought on Teaching Reform of Linear Algebra

从“线性代数”课程的内容特点和教学现状以及中国地质大学的办学特色出发,在教学内容方面,除了重视基础理论以外,提出了加强代数与几何的联系、重视应用实例在引入新教学内容时的作用,以及强调矩阵初等变换和向量组理论的重要性等举措。在教学方法和教学手段方面,从渗透数学思想方法、加强与高等数学的联系、善于类比和联系以及积极开展第二课堂等方面进行教学改革,以期增强教学效果,进而提高学生的学习兴趣,锻炼学生解决实际问题的能力,提升学生的数学素养。

Based on the content characteristics and teaching status of the linear algebra course and the university characteristics,as well as the basic theory,it is proposed to strengthen the connection between algebra and geometry,pay attention to the role of application examples in introducing new teaching contents,and emphasize the importance of matrix elementary transformation and vector group theory.In terms of teaching methods and means,this paper expounds that the teaching reform should be carried out from the aspects of infiltrating mathematical thought and methods,strengthening the connection with advanced mathematics,being good at comparison and contact and actively developing the second class to enhance the teaching effect from the aspects of improving students’interest in learning,training their ability to solve practical problems,and improving their mathematical literacy.