Edumatika
Vol. 4 No. 2 (2021): November 2021, Edumatika : Jurnal Riset Pendidikan Matematika

The Weaknesses of Euclidean Geometry: A Step of Needs Analysis of Non-Euclidean Geometry Learning through an Ethnomathematics Approach

Khathibul Umam Zaid Nugroho (Universitas Negeri Semarang)
Y. L. Sukestiyarno (Universitas Negeri Semarang)
Adi Nurcahyo (Universitas Negeri Semarang)



Article Info

Publish Date
10 Nov 2021

Abstract

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.

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Journal Info

Abbrev

edumatika

Publisher

Subject

Computer Science & IT Education Mathematics

Description

Focus and Scope Edumatika : Jurnal Riset Pendidikan Matematika e-ISSN: 2620-8911 p-ISSN: 2620-8903 Published by Fakultas Tarbiyah dan Ilmu Keguruan (FTIK), Institut Agama Islam Negeri Kerinci The aim of the Edumatika : Jurnal Riset Pendidikan Matematika (EJRPM) is to provide an international or ...