数智赋能背景下《线性代数》课程教学模式研究

Research on Teaching Models for Linear Algebra Courses in the Context of Digital Intelligence Empowerment

摘要: 数智时代背景下，理工类培养方案中《线性代数》课程仍然是理工科专业学生所学习的一门重要基础课程。传统教学方式以传授知识为核心，通常轻视学生的综合计算能力、创新思维培育，导致无法适应当前社会对复合型人才的需求。本文从数智赋能视角探讨了课程存在的主要问题，基于人工智能、数据分析等多重技术的耦合作用下，提出构建“智能驱动–可视化探究–项目应用–数据评价”四维教学模式。利用学习分析平台诊断学生学习状态，利用可视化工具培育学生空间想象、空间应用能力，利用项目制学习培育学生理论联系实际能力。分析结果表明，四维教学模式可激发学生学习兴趣、提升学生逻辑思维能力与知识应用能力，为高校数学基础教学变革提供了思路与经验。

Abstract: In the digital intelligence era, Linear Algebra remains a fundamental course within science and engineering curricula. However, traditional teaching approaches that focus primarily on knowledge transmission often overlook the cultivation of students’ computational literacy and innovative thinking, leaving them inadequately prepared for the demands of a technologically advanced society that values interdisciplinary competence. From the perspective of digital intelligence empowerment, this study identifies key challenges in the current teaching of Linear Algebra and proposes a four-dimensional instructional model comprising intelligence-driven learning, visual exploration, project application, and data evaluation. By integrating artificial intelligence, data analytics, and other emerging technologies, the model fosters a more interactive and adaptive learning environment. A learning analytics platform enables the diagnosis of students’ learning states; visualisation tools enhance spatial reasoning and conceptual understanding; and project-based learning strengthens the connection between theory and practice. Empirical analysis demonstrates that this four-dimensional model effectively increases student engagement, promotes logical reasoning, and enhances the application of mathematical knowledge. The findings provide valuable insights and practical guidance for the reform and innovation of foundational mathematics education in higher education institutions.