三融理念下的无穷级数教学改革研究

Trinity-Guided Reform in Infinite Series Teaching

摘要: 本文以高等数学无穷级数教学改革为研究对象，构建“思政价值引领–学科交叉赋能–数字技术驱动”三位一体教学模式，创设“思政 + 科技”双主线融合机制，将价值塑造与科学研究像DNA双螺旋一样深度嵌入教学全过程，实现知识传授、能力培养与价值引领的有机统一。此外，创新性地引入GeoGebra动态可视化工具，通过思政元素融入、多学科案例交叉、动态交互演示及线上线下混合教学实践，系统解决传统教学中抽象概念难理解、跨学科应用薄弱等问题。实践教学研究表明，该创新模式有效激发学生学习兴趣、提升学生知识掌握深度和应用能力，为高等数学教学改革提供可复制的实践路径。

Abstract: This paper focuses on the teaching reform of infinite series in higher mathematics, constructing a trinity teaching model of “ideological education value guidance, interdisciplinary empowerment, and digital technology drive”. Creating a “Political + Sci-Tech” dual-core integration mechanism, which deeply embeds value cultivation and scientific inquiry into the entire teaching process like a DNA double helix, achieves the organic unity and synergistic advancement of knowledge impartation, ability development, and value guidance. It innovatively introduces the dynamic visualization tool GeoGebra and, through the integration of ideological elements, interdisciplinary case studies, dynamic interactive demonstrations, and online-offline blended teaching practices, systematically addresses issues in traditional teaching such as difficulties in understanding abstract concepts and weak interdisciplinary application. Practical teaching research demonstrates that this innovative model effectively stimulates students’ learning interest, deepens their knowledge acquisition, and enhances their application skills, thereby providing a replicable pathway for the reform of advanced mathematics education.