融入案例的线性代数“矩阵”教学设计

Teaching Design for “Matrix” of Linear Algebra Based on Cases

摘要: 线性代数作为理工科的重要基础课程，其抽象性和理论性往往导致学生学习兴趣不足、应用能力薄弱。为提升教学效果，本文以线性代数知识点：矩阵的概念为例，探索线性代数课程的案例式教学改革路径，构建了“课前导入–问题分析–新知构建–应用拓展–总结实践”的教学模式，将具体案例融入知识学习中，增强学生的实践认知与问题解决能力。教学实践表明，案例式教学能够有效提高学生的课堂参与度，促进理论知识的迁移应用，进而达到优化课程教学的目的。

Abstract: Linear algebra is an important basic course of science and engineering. It is abstract and theoretical, which often leads to students’ lack of interest in learning and weak application ability. In order to improve the teaching quality, this paper takes the concept of matrix as an example to explore the case-based teaching reform of linear algebra, and constructs the teaching mode of “Warm-up Activity - Problem Analysis - Knowledge Construction - Application Extension - Summary and Practice”. The specific cases are integrated into teaching to enhance students’ practical cognition and problem-solving ability. Teaching practice shows that integrating cases can effectively improve students’ classroom participation, facilitate the transfer and application of theoretical knowledge, and ultimately optimize course teaching.