The beauty of abstraction in mathematics

Author:

Lingefjärd Thomas1ORCID,Hatami Russell2

Affiliation:

1. Gothenburg City Council, Sweden

2. Ostfold University College, Norway

Abstract

This is an article about abstraction, generalization, and the beauty of mathematics. We claim that abstraction and generalization in of itself may very well be a beauty of the human mind. The fact that we humans continue to explore and expand mathematics is truly beautiful and remarkable. Many years ago, our ancestors understood that seven stones, seven fish, and seven trees represent in some sense one entity, in this case all united by the number seven. That in itself is an abstraction. We will discuss abstraction and the different beautiful properties of mathematics in relation to some examples, where we describe the connection between algebra and geometry. Modern technological tools enable and encourage us to perform mathematical investigations of a kind that was once considered difficult.

Publisher

SAGE Publications

Subject

Education

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. From Concept to Assessment: Developing a GeoGebra Assisted Mathematics Test to Measure Semiotic-Spatial Thinking using Abstraction in Context Framework;Proceedings of the 2024 8th International Conference on Education and Multimedia Technology;2024-06-22

2. Mathematical Creativity and Society;Mathematical Creativity;2022

3. Improving the critical thinking ability of junior high school students through realistic mathematics education innovation;PROCEEDINGS OF THE 6TH NATIONAL CONFERENCE ON MATHEMATICS AND MATHEMATICS EDUCATION;2022

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