新工科背景下“线性代数”课程的案例式创新与探究——以逆矩阵的课堂为例

Teaching Innovation and Exploration of “Linear Algebra” in New Engineering Context on the Basis of Case Method—A Case Study of the Inverse Matrix

摘要: 在新工科背景下探讨了对线性代数课程教学方法进行改革。针对当前课堂“偏理论讲授，高度抽象脱离工程技术应用情景，学生缺乏兴趣和动力”等问题，通过案例教学法，以讲授逆矩阵为例，首先融入数学史和课程思政元素，同时进行案例分析，随后将一个案例贯彻课堂始终，先以案例引出并以其为主线讲授知识点，反过来再用所学数学理论分组探讨并解决该案例提出的问题，充分调动学生课堂上的主动性，逐步分析并解决问题，最终达到提升教学效果和人才培养成效的目的。

Abstract: The reform of teaching methods for the linear algebra course in the context of new engineering is explored. In response to the teaching issues like theoretical teaching, highly abstraction and detachment from engineering technology application, and lack of interest and motivation among students encountered in traditional classroom settings, the teaching of inverse matrix is taken as an example by using case method. Firstly, mathematical history and ideological and political elements of the curriculum are integrated, and case analysis is conducted. Then, a case is implemented throughout the whole class. The points are introduced through the case and taught as the main line. In turn, the learned mathematical theories are grouped to explore and solve the problems raised in the case, fully mobilizing the initiative of students in the class, gradually analyzing and solving problems, and ultimately achieving the goal of improving teaching effectiveness and talent cultivation effectiveness.