“线性代数”教学的几点体会  

Some Experiences in the Teaching of Linear Algebra

作　　者：吴飞[1] WU Fei(School of Science,China University of Geosciences〔Beijing〕,Beijing 100083,China)

机构地区：[1]中国地质大学〔北京〕数理学院,北京100083

出　　处：《教育教学论坛》2022年第39期145-148,共4页Education And Teaching Forum

基　　金：2020年中国地质大学(北京)教学研究与教学改革项目“‘概率论与数理统计’线下一流课程建设”(XXKC202026)。

摘　　要：“线性代数”作为理工科院校的一门重要的基础课,与其他数学基础课相比,这门课的特点是定义、定理多,内容抽象,知识联系紧密,需要较强的逻辑推理能力和抽象思维能力。为了让学生更好地学习和掌握这门课,从“线性代数”课程的重要性、把数学思想融入教学、在教学中强调矩阵行初等变换的重要性、对线性方程组求解方法的总结、把握矩阵运算系统与实数运算系统的本质区别、注意概念和相关知识间的联系、注重解题方法的总结和研究,以及注意强调在向量空间中定义内积的意义八个方面,探讨了“线性代数”课程的教学体会。Linear Algebra as an important basic course in science and engineering colleges and universities,compared with other basic mathematics, Linear Algebra is characterized by definitions, theorems, abstract content,knowledge is closely linked, which needs strong logical reasoning ability and abstract thinking ability. In order to enable students to better learn and master this course, we focus on the following eight aspects: the importance of Linear Algebra, the integration of mathematical ideas into teaching, the importance of elementary transformation of matrix rows in teaching, the summary of solving methods for linear equations, the grasp of the essential difference between matrix operation system and real number operation system, the attention to the relationship between concepts and related knowledge, the attention to the summary and research of problem solving methods, and the emphasis on the significance of defining inner products in vector space. And the teaching experience of Linear Algebra is discussed.

关 键 词：线性代数 行列式 矩阵 线性方程组 

分 类 号：G642.4[文化科学—高等教育学]