新农科视域下数学文化融入高等数学教学的途径与方法

Approaches and Methods for Integrating Mathematical Culture into Higher Mathematics Teaching from the Perspective of New Agricultural Science

摘要: 本文系统探讨了新农科视域下数学文化融入高等数学教学的理论价值与实践路径。数学文化作为一个多维概念体系，涵盖数学思想、历史发展、人文联系等多个维度，其融入高等数学教学有助于破解传统数学教育中重知识轻文化、重理论轻应用的困境。通过数学史情境创设、课程思政渗透、哲学思维整合、应用场景构建和美学体验设计等多元路径，能够有效提升学生的数学素养、文化自信和创新能力。最后，提出了加强师资培训、开发文化资源、改革评价体系等实施建议，为推进高等数学教学改革提供了理论依据和实践指导。

Abstract: This paper systematically explores the theoretical value and practical approaches of integrating mathematical culture into advanced mathematics education from the perspective of the New Agricultural Science. As a multidimensional conceptual framework, mathematical culture encompasses dimensions such as mathematical thought, historical development, and humanistic connections. Its integration into advanced mathematics education helps address the dilemma of traditional math education, which prioritizes knowledge over culture and theory over application. Through diverse pathways—including the creation of mathematical history contexts, the infusion of ideological and political education, the integration of philosophical thinking, the construction of application scenarios, and the design of aesthetic experiences—students’ mathematical literacy, cultural confidence, and innovative abilities can be effectively enhanced. Finally, the paper proposes implementation recommendations such as strengthening faculty training, developing cultural resources, and reforming evaluation systems, providing both theoretical foundations and practical guidance for advancing the reform of advanced mathematics education.