SearcharxivSearch

arXiv · 2503.23454

The Ethical Turn in Mathematics Education

Abstract

This article analyzes the emerging ethical turn in mathematics education, arguing that it is a nuanced extension of the sociopolitical turn. While sociopolitical studies of mathematics have highlighted systemic issues and group concerns (e.g., equity, diversity, exclusion), the newer scholarship on ethics in mathematics presents a sharpened focus on the individual responsibility of learners, teachers, and mathematicians by explicitly engaging with philosophical ethics. We analyze key themes of the discourse, including the tension between "doing good" and "preventing harm," and present various philosophical foundations from which scholars have engaged with ethics: Levinas, non-Western perspectives, and pragmatism. We show that the ethical turn holds significant implications for training teachers, including self-reflection, responsibility towards the Other, historical and philosophical awareness, the role of mathematics in society, individual flexibility, cultural sensitivity, and courage to navigate the complex reality of today's mathematics classrooms. The article is designed to also serve as an introduction to ethics in mathematics education.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Dennis Müller. 2025-03-30. The Ethical Turn in Mathematics Education. https://arxiv.org/abs/2503.23454

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Perspectives on the unit distance problem

This is a survey on an old open problem in combinatorics called the unit distance problem, and the field of mathematics around it, called incidence geometry. What do we know about the problem? Why is it difficult? How does it connect with other parts of math?

math.HO

A Categorical Approach to Euclidean Ratios and Proportions

A categorial approach to the non-metric geometry in Books V and VI of Euclid's \textit{Elements} is presented. Specifically, we introduce a diagrammatic syntax that can be overlaid immediately on his diagrams, thus bridging intuitive presentation with fidelity to Euclid's arguments. This syntax makes complicated definitions like V.5, and indeed the arguments throughout books V and VI, including arguments about similar figures, intuitively clear. We show in an appendix that this syntax can be used to solve a puzzle regarding ancient mathematics. Finally, we offer evidence that this approach to Euclidean diagrams is rooted in the Aristotelian tradition itself, and that a similar syntax was utilized, in antiquity, for related questions of numeric and proportions. Thus the syntax is plausibly faithful to Euclid's own thought-world, and not an outside-imposition.

math.HO

Some Early Results by Tutte Regarding the Cycle Double Cover Conjecture in 1948

OpenAI recently announced a proof of the Cycle Double Cover (CDC) Conjecture. Most media reports have characterized it as a 50-year-old open problem. In reality, according to a 1987 letter from Tutte to Fleischner, the Cycle Double Cover Problem has been open for at least 80 years. Two early results regarding the CDC conjecture were established in one of Tutte's 1949 publications.

math.HO