基于雨课堂的《几何与线性代数》混合式教学实践

Blended Teaching Practice of “Geometry and Linear Algebra” Based on Rain Classroom

摘要: 本研究以《几何与线性代数》课程为实践载体，依托雨课堂智慧教学平台，构建了“技术赋能–模式创新–评价优化”三位一体的混合式教学模式。通过系统设计“课前自主探究–课中协作深化–课后成果拓展”的全链条教学路径，并深度融合结构化知识图谱技术，实现了教学效率的显著提升与学生参与度的全面优化。实证研究表明：教学过程中累计实现师生互动525次，课堂到课率高达97.7%，知识掌握度与教学满意度等核心指标均得到大幅提升。该教学模式不仅有效培养了学生的工程实践思维和自主学习能力，更通过可量化的教学数据验证了其有效性，为理工科专业课程的混合式教学改革提供了具有示范价值的实施路径和可推广的实践经验。

Abstract: This study establishes a novel blended teaching paradigm integrating “technology empowerment, pedagogical innovation, and assessment optimization”, which takes the “Geometry and Linear Algebra” course as a practical platform and leverages the Rain Classroom smart teaching system. A comprehensive instructional framework including “pre-class self-directed exploration, in-class collaborative deepening, and post-class outcome expansion” is systematically designed, and at the same time, structured knowledge graph technology is deeply incorporated. This approach has achieved significant improvements in teaching efficiency and student engagement, which resulted in 525 teacher-student interactions recorded, a 97.7% class attendance rate, and substantial enhancements in core metrics such as knowledge mastery and teaching satisfaction. This teaching model not only effectively cultivates students’ engineering practical thinking and self-directed learning abilities but also demonstrates its effectiveness through quantifiable teaching data. It provides an exemplary implementation path and scalable practical experience for blended teaching reform in STEM (Science, Technology, Engineering, and Mathematics) professional courses.