人工智能AI赋能《线性代数》教材建设中的几点思考

Some Thoughts on AI Empowering the Construction of “Linear Algebra” Textbooks

摘要: 在新工科建设与数字化教育转型的双重驱动下，人工智能(AI)技术为高校公共数学教材改革提供了全新路径。本文以《线性代数》教材建设为研究对象，围绕应用实例拓展、课程思政融入、数字化资源建设、教学规律遵循、呈现形式创新等关键维度，深入探讨AI赋能教材建设的核心内涵，通过配置重难点知识点视频二维码、增设应用实例与课程思政内容、优化习题体系等具体举措，构建“思政引领、AI支撑、应用导向、学科为本”的精品教材体系，进而为同类数学教材的数字化、智能化改革提供参考。

Abstract: Driven by the dual forces of emerging engineering education construction and digital education transformation, artificial intelligence (AI) technology has provided a brand-new approach for the reform of public mathematics textbooks in colleges and universities. Taking the construction of “Linear Algebra” textbooks as the research object, this paper deeply explores the core connotation of AI-enabled textbook construction around key dimensions such as expansion of application cases, integration of ideological and political education, development of digital resources, adherence to teaching laws, and innovation of presentation forms. Through specific measures including embedding QR codes linked to videos of key and difficult knowledge points, adding application cases and ideological and political content, and optimizing the exercise system, a high-quality textbook system featuring “ideological and political guidance, AI support, application orientation, and discipline-oriented” is constructed, so as to provide references for the digital and intelligent reform of similar mathematics textbooks.