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数学教育与教学研究

Mathematics Education and Pedagogy Research

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Mathematics Education and Pedagogy Research. 2025; 1: (1) ; 10.12208/j.mepr.20250003 .

On the mutual penetration of philosophy and higher mathematics in teaching
论哲学与高等数学教学中的相互渗透

作者: Hao Huang *, Xinwei Cong

南通开放大学 江苏南通

*通讯作者: Hao Huang,单位:南通开放大学 江苏南通;

引用本文: Hao Huang, Xinwei Cong 论哲学与高等数学教学中的相互渗透[J]. 数学教育与教学研究, 2025; 1: (1) : 11-13.
Published: 2025/7/16 18:04:55

摘要

高等数学中蕴含着大量的哲学思想,通过运用哲学思想可以更好地完成高等数学的教学,而数学对哲学的渗透可以为哲学思想提供佐证,所以哲学与数学的相互渗透对于二者的发展都能起到积极的作用。基于此,本文对哲学与高等数学在教学中的相互渗透进行了研究。首先分析了哲学与数学的关系,然后探讨了数学中的哲学思想,最后提出了哲学与高等数学在教学中的相互渗透策略,以促进二者的有效融合,充分发挥哲学在高等数学教学中的作用。也希望本文能为其他高等数学教师提供一些参考。

关键词: 哲学;高等数学;相互渗透

Abstract

There are a lot of philosophical thoughts in higher mathematics, through the use of philosophical thoughts can better complete the teaching of higher mathematics, and the infiltration of mathematics into philosophy can be evidence for philosophical thoughts, so the mutual infiltration of philosophy and mathematics for the development of both can play a positive role. Based on this, this paper studies the interpenetration of philosophy and higher mathematics in teaching. Firstly, it analyzes the relationship between philosophy and mathematics, then discusses the philosophical thoughts in mathematics, and finally puts forward the interpenetration strategy of philosophy and higher mathematics in teaching, so as to promote the effective integration of the two and give full play to the role of philosophy in higher mathematics teaching. It is also hoped that this article can provide some reference for other advanced mathematics teachers.

Key words: Philosophy; Advanced mathematics; Interpenetration

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