多维融合视角下《高等代数》的课程思政建设

Curriculum Ideological and Political Construction of Advanced Algebra from a Multidimensional Integration Perspective

摘要: 本文以高等代数核心基础知识为依托，始终坚定贯彻国际数学教育心理学大会宗旨、国家“十五五”计划战略蓝图、基于STEAM教育理念的数学文化项目学习模式，深度挖掘公理体系下的法治精神、不同文明对数学史的贡献、严谨负责的学习态度、哲学思辨、批判思维等思政内涵，采用案例浸润、数学发展史故事、新旧知识联动、课堂融入、兴趣引导、因材施教等方式，探讨在多维融合视角下高等代数课程思政建设的可行性实施路径与现实性实践成效，实现思政教育与专业教学同向同行的目标。本研究旨在提升学生数学素养与思想品格，引导学生树立科学有理的世界观，掌握正确可行的方法论，以高代筑基、以素养立身，将个人理想融入国家社会发展，用专业素养助力时代进步，为高校数学基础课程思政改革提供参考。

Abstract: Drawing upon the core fundamentals of Advanced Algebra, this paper steadfastly implements the mission of the International Congress on Mathematical Education (ICME), aligns with the strategic blueprint of the national 15th Five-Year Plan, and adopts a STEAM-based Project-Based Learning (PBL) model in mathematical culture. It deeply explores ideological and political connotations within an axiomatic system, including the spirit of the rule of law, contributions of diverse civilizations to the history of mathematics, a rigorous and responsible learning attitude, philosophical speculation, and critical thinking. By employing methods such as case immersion, narratives from the history of mathematical development, integration of new and existing knowledge, classroom incorporation, interest guidance, and individualized instruction, this study investigates the feasible implementation paths and practical effectiveness of integrating ideological and political education into Advanced Algebra courses from a multidimensional perspective. The ultimate goal is to achieve the alignment of ideological education with professional teaching. This research aims to enhance students’ mathematical literacy and moral character, guide them in establishing a scientific and rational worldview, and help them master correct and viable methodologies. It encourages students to build a solid foundation in Advanced Algebra, establish themselves through quality cultivation, integrate their personal ideals into national and social development, and contribute to the progress of the era with their professional expertise, thereby providing a reference for the reform of ideological and political education in fundamental university mathematics courses.