Weaknesses of Euclidean Geometry: A Step of Needs Analysis of Non-Euclidean Geometry Learning through an Ethnomathematics Approach
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Resumo
Non-Euclidean Geometry is a complex subject for students. It is necessary to analyze the weaknesses of Euclidean geometry to provide a basis for thinking about the need for learning non-Euclidean geometry. The starting point of learning must be close to students' local minds and culture. The purpose of this study is to describe the weaknesses of Euclidean geometry as a step in analyzing the needs of non-Euclidean geometry learning through an ethnomathematics approach. This research uses qualitative descriptive methods. The subjects of this study were students of Mathematics Education at State Islamic University (UIN) Fatmawati Soekarno Bengkulu, Indonesia. The researcher acts as a lecturer and the main instrument in this research. Researchers used a spatial ability test instrument to explore qualitative data. The data were analyzed qualitatively descriptively. The result of this research is that there are two weaknesses of Euclidean geometry, namely Euclid’s attempt to define all elements in geometry, including points, lines, and planes. Euclid defined a point as one that has no part. He defined a line as length without width. The words "section", "length", and "width" are not found in Euclidean Geometry. In addition, almost every part of Euclid’s proof of the theorem uses geometric drawings, but in practice, these drawings are misleading. Local culture and ethnomathematics approach design teaching materials and student learning trajectories in studying Non-Euclid Geometry.
Dados da obra
- Tipo
- Artigo
- Periódico
- Edumatika : Jurnal Riset Pendidikan Matematika, v. 4, n. 2, p. 126-149
- Editora
- Institut Agama Islam Negeri Kerinci
- Ano
- 2021 (2021-11-10)
- Idioma
- en
- Palavras-chave
- ethnomathematics; euclidean geometry; needs analysis; non-euclidean geometry; needs assessment; spatial ability; local culture in mathematics learning; mathematics education students
- Temas
- Avaliação, Etnomatemática, Geometria
- DOI
- 10.32939/ejrpm.v4i2.1015
- ISSN
- 2620-8911, 2620-8903
- Licença
- http://creativecommons.org/licenses/by/4.0
- Acesso
- Download disponível
- Fontes
- Crossref; DOAJ — Directory of Open Access Journals; OpenAlex
- Na Biblioteca desde
- 27/09/2026 · verificada em 27/09/2026
Como citar
ABNT
NUGROHO, Khathibul Umam Zaid; SUKESTIYARNO, Y. L.; NURCAHYO, Adi. Weaknesses of Euclidean Geometry: A Step of Needs Analysis of Non-Euclidean Geometry Learning through an Ethnomathematics Approach. Edumatika : Jurnal Riset Pendidikan Matematika, v. 4, n. 2, p. 126-149, 2021. DOI: https://doi.org/10.32939/ejrpm.v4i2.1015.
APA
Nugroho, K. U. Z., Sukestiyarno, Y. L., & Nurcahyo, A. (2021). Weaknesses of Euclidean Geometry: A Step of Needs Analysis of Non-Euclidean Geometry Learning through an Ethnomathematics Approach. Edumatika : Jurnal Riset Pendidikan Matematika, 4(2), 126-149. https://doi.org/10.32939/ejrpm.v4i2.1015
BibTeX
@article{nugroho2021,
author = {Nugroho, Khathibul Umam Zaid and Sukestiyarno, Y. L. and Nurcahyo, Adi},
title = {Weaknesses of Euclidean Geometry: A Step of Needs Analysis of Non-Euclidean Geometry Learning through an Ethnomathematics Approach},
year = {2021},
journal = {Edumatika : Jurnal Riset Pendidikan Matematika},
volume = {4},
number = {2},
pages = {126-149},
publisher = {Institut Agama Islam Negeri Kerinci},
doi = {10.32939/ejrpm.v4i2.1015},
language = {en}
}RIS
TY - JOUR AU - Nugroho, Khathibul Umam Zaid AU - Sukestiyarno, Y. L. AU - Nurcahyo, Adi TI - Weaknesses of Euclidean Geometry: A Step of Needs Analysis of Non-Euclidean Geometry Learning through an Ethnomathematics Approach PY - 2021 JO - Edumatika : Jurnal Riset Pendidikan Matematika VL - 4 IS - 2 SP - 126 EP - 149 DO - 10.32939/ejrpm.v4i2.1015 LA - en ER -
Referência gerada automaticamente a partir dos metadados das fontes; confira com o documento original. Baixar BibTeX · Baixar RIS
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