基于PageRank算法的线性代数案例式教学设计

Case-Based Teaching Design of Linear Algebra Based on the PageRank Algorithm

摘要: 线性代数是理工科专业的重要基础课程，但传统教学方式存在概念抽象、学生参与度低、理论与实践脱节等痛点问题。为提升教学效果，文章以搜索引擎PageRank算法的数学原理为例，探索线性代数课程的案例式教学改革路径。采用“问题驱动 + 案例教学 + 数字化工具”的教学模式，将线性代数知识点融入具体应用中，增强学生的直观理解与实践能力。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与自主学习能力，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 foundational course for science and engineering majors, but traditional teaching methods suffer from challenges such as abstract concepts, low student engagement, and a disconnect between theory and practice. To improve teaching effectiveness, this paper explores the case-based teaching reform path for linear algebra courses by taking the mathematical principles of the PageRank search engine algorithm as an example. Adopting a teaching model that combines “problem-driven learning, case-based teaching, and digital tools”, the study integrates linear algebra concepts into practical applications, enhancing students’ intuitive understanding and practical skills. Teaching practice shows that case-based teaching can effectively increase student engagement and autonomous learning ability, promote the transfer and application of theoretical knowledge, and ultimately achieve the goal of optimizing course instruction.