Guidance, Assistance, and Research: A Tri-Integrated Exploration of Online-Offline Blended Teaching in Linear Algebra

结合“线性代数”课程内容抽象性高、理论性强、应用性广等特点，紧扣学生学习主动意识不强、学习能力不足及学而少用等现状，构建了“导、助、研”三位一体的线上线下混合式教学模式，实现了线性代数教学由“教”“学”融合式向“学”为主，“导”为辅的模式转变，进一步提升了学生学习、思考、研究等综合能力，体现了课程和课堂的育人功能。Given the highly abstract, theoretically intensive, and widely applicable nature of the “Linear Algebra” course content, along with addressing current challenges such as students’ weak proactive learning awareness, insufficient learning capabilities, and limited application of acquired knowledge, a tri-integrated online-offline blended teaching model centered on “guidance, assistance, and research” has been developed. This model shifts the teaching paradigm from a “teaching-learning” integrated approach to a student-centered learning framework supplemented by guided instruction. It further enhances students’ comprehensive abilities in learning, critical thinking, and research, while emphasizing the educative role of both curriculum and classroom practices.