高等代数课程与思政元素的有机融合与 教学实践

Organic Integration and Teaching Practice of Ideological and Political Elements in Advanced Algebra Course

摘要: 高等代数是数学与应用数学专业的一门核心基础课，具有高度抽象、逻辑严密的特点。在地方师范类专业实际教学中普遍存在思政元素挖掘困难、师范特色体现不足、育人效果难以量化评价、思政与专业知识难融合难平衡等问题。本文针对数学专业大一学生，依托学习通平台，提出从素材挖掘、主线整合、评价反馈、教学融入四个维度系统化实施课程思政的路径。以线性空间的基与维数为具体案例，简要介绍其蕴含的思政元素及融入方法，实现价值塑造、知识传授与能力培养的有机统一。

Abstract: Advanced Algebra serves as an essential foundational course for Mathematics and Applied Mathematics majors, which is highly abstract and logically rigorous. In the teaching practice of normal majors in local universities, prevalent deficiencies remain in curriculum ideological and political construction, such as the inadequate exploration of implicit ideological and political resources, the weak manifestation of teacher-training characteristics, the lack of quantifiable evaluation systems for educational outcomes, and the ineffective integration and coordination between professional teaching and ideological education. Oriented at first-year mathematics undergraduates and supported by the Xuexitong online teaching platform, this study proposes a systematic implementation framework for curriculum ideological and political education from four dimensions: educational resource mining, teaching thread integration, teaching evaluation and optimization, and in-depth curriculum infiltration. Taking the teaching of basis and dimension in linear spaces as a typical example, this paper elaborates on the implicit ideological and political connotations contained in course knowledge and puts forward targeted integration approaches, so as to accomplish the organic unity of value guidance, knowledge dissemination and comprehensive ability cultivation in higher mathematics teaching.