基于生活情境教学法的线性代数课程教学改革的探索与实践

Exploration and Practice of Teaching Reform in Linear Algebra Course Based on Life-Situational Teaching Method

摘要: 线性代数是高等院校理工科、经管类等专业的公共基础必修课，是学生学习其专业核心课程、开展专业研究的重要基础。该课程具有符号多、式子大、抽象度高、规律性强、公式定理密集的特点，学生在学习过程中常常感觉理解困难且不能真正理解其实际应用价值。鉴于学习线性代数课程的学生绝大部分还未深入学习其专业课程，因此，为提高该课程的教学效果，本文立足大班授课和课时有限的现状，引入生活情境教学法，构建并实践了“情境导入–思考互动–知识解构–迁移升华”的四段式线性代数闭环教学模式，有效激活了学生的学习兴趣和主动性，培养了学生知识应用的能力，为高校公共数学课程大班授课教学改革提供参考。

Abstract: Linear algebra is a compulsory foundational course offered to students in such disciplines as science, engineering, economics, management at higher education institutions. It serves as an essential foundation for students to engage with their core professional courses and conduct specialized research. This course is characterized by a large number of symbols, complex expressions, high abstraction, strong structural regularity, and a dense concentration of formulas and theorems. As a result, students often encounter difficulties in comprehending the material and may fail to fully appreciate its practical applications. Given that the vast majority of students enrolled in linear algebra courses have not yet delved deeply into their specific professional fields, this paper aims to enhance the teaching effectiveness of this course via introducing the Life-Context-Based Teaching Method. Addressing the realities of large-class instruction and limited instructional time, a four-stage linear algebra closed-loop teaching model—comprising “contextual introduction - reflective interaction - knowledge deconstruction - knowledge transfer and elevation”—was developed and implemented, effectively stimulating students’ interest in learning and their proactive engagement, while fostering their ability to apply knowledge. This model provides a valuable reference for teaching reform in large-scale public mathematics courses at higher education institutions.