A systematic literature review on ethnomathematics in geometry

R. S. F. Iskandar; N. Karjanto; Y. S. Kusumah; I. R. Ihsan

Home/Archive/arXiv

arXiv · 2212.11788

A systematic literature review on ethnomathematics in geometry

R. S. F. Iskandar·N. Karjanto·Y. S. Kusumah·I. R. Ihsan

View original source ↗Read source document ↗Export metadata ↓

Abstract

This study aims to investigate geometrical concepts related to ethnomathematics in Indonesia. The research design used in this study is to summarize, review, and analyze 24 papers that discussed ethnomathematics. We selected either journal articles or conference proceedings that were published in the last five years, which cover documents from 2016 to 2020, and were indexed by Scopus abstract and citation database. With the assistance of the Publish or Perish tool, we were able to compile a collection of papers to complete the task. We also used PRISMA, an evidence-based minimum set of items for reporting in systematic reviews and meta-analyses, to conduct the systematic review on geometry and ethnomathematics. The process includes determining eligibility and exclusion criteria, steps in the review process (identification, screening, and eligibility), abstraction, and data analysis. The finding suggests that several ethnic groups use geometrical concepts in their cultural lives. We can find them in traditional houses, regional dances, regional specialties, batik motifs, fabrics/weaving, temples, and mosques.

Explore related subjects

math.HO

Keep this discovery

Explore connections, maps & timelines

BibTeX RIS

R. S. F. Iskandar, N. Karjanto, Y. S. Kusumah, I. R. Ihsan. 2022-11-30. A systematic literature review on ethnomathematics in geometry. https://arxiv.org/abs/2212.11788

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

KEEP EXPLORING

Related papers

arXiv2026

On the Reconstruction of SAS from Other Triangle Congruence Criteria, Part II: Eliminating the Pons Asinorum

In the first part of this work we showed that, within a Hilbert plane deprived of the Side-Angle-Side axiom, the Side-Angle-Angle criterion, together with a ray correspondence principle [\textbf{RCT}], the existence of angle bisectors [\textbf{AB}], the congruence of supplements of congruent angles [\textbf{SA}], and the Pons Asinorum [\textbf{PA}], suffices to reconstruct SAS. We left open the question of whether [\textbf{PA}] is genuinely required alongside the other three principles, noting only a qualitative asymmetry in the nature of the principles involved. In this second part we answer this question: we show that \begin{equation*} \textrm{SAA},\ [\textbf{RCT}],\ [\textbf{AB}] \;\vdash\; [\textbf{PA}], \end{equation*} so that [\textbf{PA}] is redundant among the hypotheses of our main theorem, which improves to \begin{equation*} \textrm{SAA},\ [\textbf{RCT}],\ [\textbf{AB}],\ [\textbf{SA}] \;\vdash\; \textrm{SAS}. \end{equation*} The proof adapts an argument recently given by Donnelly, who reconstructs SAS from SAA together with an angle addition axiom and the existence of angle bisectors.

math.HO↗

arXiv2026

Descartes' Circle Theorem, Princess Elizabeth, and Spinors

In this article, on Descartes' famous "circle theorem," we first attempt to explain how the philosopher could have arrived at the equation that he presents without demonstration in a letter to Princess Palatine Elizabeth of Bohemia in November 1643 (a previously unpublished proof, to our knowledge). Then we report some stages of the subsequent generalization of this theorem, whose Cliffordian flavor, via the equivalence of a quadratic form and the square of a linear form, still mobilizes mathematicians today. This statement, which, over time, has undergone different extensions, Euclidean and non-Euclidean, has found, {\it in fine}, a spinor formalization. We see there the proof of what we may call, in a Bachelardian style, an "inductive value" of the truth, which extends by successive generalizations. We conclude, more briefly, with the contacts between Elizabeth and Descartes, and the perhaps symbolic meaning of these considerations on "kissing circles," as they are called in Anglo-Saxon countries, in the context of their correspondence on the soul and the body, and the question of passions.

math.HO↗

arXiv2026

Mathematical folklore

We present reflections on an experimental seminar studying the human and cultural roots of modern mathematics.

math.HO↗