人工智能时代下线性代数的教学改革

Teaching Reform of Linear Algebra in the Era of Artificial Intelligence

摘要: 随着人工智能技术的快速发展，教育数字化转型已成为高等教育改革的核心方向。线性代数作为基础学科，面临着教学模式固化、理论与实践脱节等现实问题。本文基于AI技术的赋能优势，从教学内容重构、教学模式创新、评价体系优化三个维度，提出线性代数教学改革的整体框架，并通过核心知识点的AI深度融合案例、不同类型高校的差异化实施路径，为改革落地提供具体指导，旨在推动数学教学向智能化、个性化、实践化转型，提升人才培养质量。

Abstract: With the rapid development of artificial intelligence (AI) technologies, the digital transformation of education has become a central focus of higher education reform. As a foundational discipline, linear algebra faces practical challenges such as entrenched teaching models and a disconnect between theory and practice. This paper proposes a comprehensive framework for reforming linear algebra instruction by leveraging the empowering advantages of AI across three dimensions: curriculum restructuring, instructional innovation, and evaluation system optimization. Through case studies demonstrating the deep integration of AI with core knowledge points and differentiated implementation pathways tailored to various types of universities, the framework provides concrete guidance for effective reform implementation. The aim is to promote the transformation of mathematics education toward intelligence, personalization, and practice-oriented approaches, thereby enhancing the quality of talent cultivation.