基于唯物辩证法的线性代数课程思政实践与探讨  

Practice and Exploration of Ideological and Political Education in Linear Algebra Course Based on Materialist Dialectics

作　　者：周小双[1] 赵琳琳[1] 尹秀玲[1] ZHOU Xiaoshuang;ZHAO Linlin;YIN Xiuling(School of Mathematics and Big Data,Dezhou University,Dezhou Shandong 253023,China)

机构地区：[1]德州学院数学与大数据学院,山东德州253023

出　　处：《德州学院学报》2025年第2期95-98,共4页Journal of Dezhou University

基　　金：山东省本科教学改革项目重点课题项目(Z2021269);山东省本科教学改革面上项目(M2023499)。

摘　　要：线性代数是高等院校理工类、经济管理类专业的必修课程,为后续理论课程的学习提供重要的数学知识和方法,在大数据技术、人工智能、计算机图像学、密码学等技术中有着广泛的应用。由于该课程具有较强的抽象性和逻辑性,学生对于某些知识点往往难以理解和掌握。文章通过线性代数课程思政建设,结合理论知识点与案例,着重将联系与发展、变与不变、有限与无限、对立与统一、特殊与一般等唯物辩证法的认识论与方法论融入线性代数的教学过程中,帮助学生掌握不同知识点之间的联系与区别,提升了学生的数学思维和理性思辨的能力,进而达到知识传授、能力培养与价值引领三位一体的教学目标,为提升教学质量和人才培养质量提供有力支撑。Linear Algebra is a compulsory course for various majors in science,engineering,economics and management in higher education institutions,providing important mathematical knowledge and methods for subsequent theoretical courses.It has a wide range of applications in technical disciplines such as big data technology,artificial intelligence,computer graphics,and cryptography.Owing to its strong abstraction and logicality,students often find it difficult to understand and master certain knowledge points.The article focuses on integrating the epistemology and methodology of dialectical materialism,such as connection and development,changes and unchanges,finite and infinite,opposition and unity,special and general into the teaching process of linear algebra through the ideological and political construction of linear algebra courses,combined with theoretical knowledge points and cases of linear algebra.It helps students grasp the connections and differences between different knowledge points,enhances their mathematical thinking and rational reasoning abilities,and ultimately achieves the teaching goal of knowledge transmission,ability cultivation,and value guidance,providing strong support for improving teaching quality and talent cultivation quality.

关 键 词：线性代数 唯物辩证法 课程思政 

分 类 号：O151.2[理学—数学] G420[理学—基础数学]