2010Perspectives in EducationOpen access

Making Euclidean geometry compulsory: Are we prepared?

Sonja van Putten, Sarah Howie, Gerrit Stols

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Abstract

This study investigated the attitude towards, as well as the level of understanding of Euclidean geometry in pre-service mathematics education (PME) students. In order to do so, a case study was undertaken within which a one group pre-post-test procedure was conducted around a geometry module, and a representative group of students was interviewed before and after the module to discuss their experiences of learning geometry and to analyse their attitudes towards the subject. The Van Hiele Theory of Levels of Thought in Geometry was used as the theoretical framework for this study. The geometry module offered did change the students’ attitude towards geometry, but still did not bring about a sufficient improvement in their level of understanding for these students to be able to teach geometry adequately.

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What this paper is about

This study investigated the attitude towards, as well as the level of understanding of Euclidean geometry in pre-service mathematics education (PME) students. In order to do so, a case study was undertaken within which a one group pre-post-test procedure was conducted around a geometry module, and a representative group of students was interviewed before and after the module to discuss their experiences of learning geometry and to analyse their attitudes towards the subject. The Van Hiele Theory of Levels of Thought in Geometry was used as the theoretical framework for this study. The geometry module offered did change the students’ attitude towards geometry, but still did not bring about a sufficient improvement in their level of understanding for these students to be able to teach geometry adequately.

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OpenAlex reports 18 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This study investigated the attitude towards, as well as the level of understanding of Euclidean geometry in pre-service mathematics education (PME) students. In order to do so, a case study was undertaken within which a one group pre-post-test procedure was conducted around a geometry module, and a representative group of students was interviewed before and after the module to discuss their experiences of learning geometry and to analyse their attitudes towards the subject. The Van Hiele Theory of Levels of Thought in Geometry was used as the theoretical framework for this study. The geometry module offered did change the students’ attitude towards geometry, but still did not bring about a sufficient improvement in their level of understanding for these students to be able to teach geometry adequately.

Key concepts: Euclidean geometry, Geometry, Mathematics education, Mathematics, Non-Euclidean geometry, Test (biology), Geology, Paleontology

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