Instructional Design of <i>Linear Algebra</i> Based on BOPPPS Teaching Model—A Case Study of Matrix Multiplication

本文以BOPPPS教学模式为基础，针对《线性代数》课程中“矩阵乘法”这一核心知识点展开教学设计研究。通过导入(Bridge-in)、目标(Objective)、前测(Pre-assessment)、参与式学习(Participatory Learning)、后测(Post-assessment)和总结(Summary)六个环节，构建了以学生为中心、注重互动反馈的闭环教学体系。研究结合计算机图形学等实际应用案例，采用MATLAB/Python编程实践、小组探究等多元化教学方法，帮助学生深入理解矩阵乘法的运算规则及其应用价值，为理工科数学课程的教学改革提供了可借鉴的实施路径。Based on the BOPPPS teaching model, we conduct teaching design research on the core knowledge point of “Matrix Multiplication” in the Linear Algebra course. Through the six links of Bridge-in, Objective, Pre-assessment, Participatory Learning, Post-assessment and Summary, a closed-loop teaching system centered on students and emphasizing interactive feedback has been constructed. This study combines practical application cases such as computer graphics and adopts diversified teaching methods such as MATLAB/Python programming practice and group exploration to help students deeply understand the operation rules and application value of matrix multiplication, providing a referential implementation path for the teaching reform of mathematics courses in science and engineering.