基于BOPPPS模型的线性代数混合式教学设计——以“矩阵分块法”为例
Blended Teaching Design of Linear Algebra Based on the BOPPPS Model—A Case Study of the “Block Matrix Method”
摘要: 线性代数是一门面向高等院校理工类、经管类等非数学专业本科生的数学基础课。设计以实际问题为导向,结合当前智能化时代要求的课堂教学模式,是提高学生对这门课程的学习兴趣以及“获得感”的关键。基于BOPPPS教学模式,对线性代数课程教学内容进行设计,以矩阵分块法为例,从具体实际问题入手,强调学生参与式学习并有机融入思政元素,可以实现学生对知识的掌握、能力的培养和人格的养成。
Abstract: Linear Algebra is a foundational mathematics course for undergraduate students in non-mathematics majors such as science and engineering, economics, and management at higher education institutions. Designing classroom teaching models that are problem-oriented and aligned with the demands of the current era of intelligent technologies is key to enhancing students’ interest in the course and their sense of learning achievement. Based on the BOPPPS teaching model, this study discusses the design of the teaching content of the Linear Algebra course taking the block matrix method as an example. Starting from concrete real-world problems, it emphasizes student-centered participatory learning while organically integrating ideological and political education elements, thereby achieving students’ mastery of knowledge, development of abilities, and cultivation of character.
文章引用:周慧娟. 基于BOPPPS模型的线性代数混合式教学设计——以“矩阵分块法”为例[J]. 创新教育研究, 2026, 14(5): 674-679. https://doi.org/10.12677/ces.2026.145388

参考文献

[1] 王立本, 李伯忍, 黄香香, 张丽芳. 数学类公共基础课程教学改革与实践——以“概率论”与“数理统计”为例[J]. 教育教学论坛, 2023(44): 87-90.
[2] 张萌, 杨扬, 柳顺义. 基于双维度“金字塔”结构的数学公共课混合式教学探索与实践[J]. 大学数学, 2025, 41(5): 31-37.
[3] 张慧星, 姚香娟, 周圣武. 基于信息技术的公共数学课程教学改革与实践[J]. 大学数学, 2023, 39(5): 10-15.
[4] 种孝文, 许慧. 高效数学公共基础课线上线下混合教学模式研究[J]. 白城师范学院学报, 2023, 37(2): 115-118.
[5] 李萍, 钟守铭, 李沛瑜, 陈丽. 以“金课”建设为导向的混合式教学探索——以概率论与数理统计为例[J]. 新疆师范大学学报(自然科学版), 2022, 41(1): 85-89.
[6] 白文倩. 冯∙格拉斯费尔德的激进建构主义教学思想研究[M]. 北京: 清华大学出版社, 2019.
[7] J∙莱夫, E∙温格. 情境学习: 合法的边缘性参与[M]. 王文静, 译. 上海: 华东师范大学出版社, 2004.
[8] 许鹏飞, 公徐璐, 张权义. 基于BOPPPS模式的高等数学混合式教学设计与实践[J]. 大学数学, 2025, 41(4): 114-119.
[9] 李由, 李扉, 岳瑞锋. BOPPPS教学模式在“高等数学”课程思政教学中的应用——以可分离变量的微分方程为例[J]. 中国林业教育, 2025, 43(6): 60-63.
[10] Xu, Z., Ge, L., He, W., Song, G., Liu, J., Hou, L., et al. (2024) Developing a BOPPPS (Bridge-In, Objectives, Pre-Assessment, Participatory Learning, Post-Assessment and Summary) Model Combined with the OBE (Outcome Based Education) Concept to Improve the Teaching Outcomes of Higher Education. Humanities and Social Sciences Communications, 11, Article No. 1001. [Google Scholar] [CrossRef