Epistemological Obstacle in Transformation Geometry Based on van Hiele’s Level

Thesa Kandaga; Rizky Rosjanuardi; Dadang Juandi

doi:10.29333/ejmste/11914

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Thesa Kandaga ¹ ² ^* , Rizky Rosjanuardi ³ , Dadang Juandi ³

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¹ Mathematics Education Study Program, School of Postgraduate Studies, Universitas Pendidikan Indonesia, INDONESIA² Mathematics Education, Faculty of Teacher Training and Education, Universitas Pasundan, INDONESIA³ Department of Mathematics Education, Universitas Pendidikan Indonesia, INDONESIA^* Corresponding Author

Abstract

Each level on van Hiele’s model has its characteristics, such as terminology, concept, and reasoning strategies. This study attempts to reveal epistemological obstacles on all van Hiele’s levels of geometric thinking in the topic of geometric transformation. Thus, a student could overcome the epistemological obstacles in transformation geometry and develop appropriate reasoning strategies. That way, van Hiele’s geometric thinking could promote level by level. This research is a case study that investigates and analyzes the epistemological obstacles on the topic of transformation geometry for each level of thinking of the van Hiele model of geometry. The study was conducted on ten prospective mathematics teachers who had received lectures in transformation geometry at a university in Indonesia. The results found in this study indicated epistemological obstacles at each level of geometric thinking in van Hiele’s model.

Keywords

epistemological obstacles
transformation geometry
van Hiele’s model

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

EURASIA J Math Sci Tech Ed, 2022, Volume 18, Issue 4, Article No: em2096

https://doi.org/10.29333/ejmste/11914

Publication date: 23 Mar 2022

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Article Downloads: 1053

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Disclosure

Declaration of Conflict of Interest: No conflict of interest is declared by author(s).

Data sharing statement: Data supporting the findings and conclusions are available upon request from the corresponding author(s).

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How to cite this article

APA

Kandaga, T., Rosjanuardi, R., & Juandi, D. (2022). Epistemological Obstacle in Transformation Geometry Based on van Hiele’s Level. Eurasia Journal of Mathematics, Science and Technology Education, 18(4), em2096. https://doi.org/10.29333/ejmste/11914

Vancouver

Kandaga T, Rosjanuardi R, Juandi D. Epistemological Obstacle in Transformation Geometry Based on van Hiele’s Level. EURASIA J Math Sci Tech Ed. 2022;18(4):em2096. https://doi.org/10.29333/ejmste/11914

AMA

Kandaga T, Rosjanuardi R, Juandi D. Epistemological Obstacle in Transformation Geometry Based on van Hiele’s Level. EURASIA J Math Sci Tech Ed. 2022;18(4), em2096. https://doi.org/10.29333/ejmste/11914

Chicago

Kandaga, Thesa, Rizky Rosjanuardi, and Dadang Juandi. "Epistemological Obstacle in Transformation Geometry Based on van Hiele’s Level". Eurasia Journal of Mathematics, Science and Technology Education 2022 18 no. 4 (2022): em2096. https://doi.org/10.29333/ejmste/11914

Harvard

Kandaga, T., Rosjanuardi, R., and Juandi, D. (2022). Epistemological Obstacle in Transformation Geometry Based on van Hiele’s Level. Eurasia Journal of Mathematics, Science and Technology Education, 18(4), em2096. https://doi.org/10.29333/ejmste/11914

MLA

Kandaga, Thesa et al. "Epistemological Obstacle in Transformation Geometry Based on van Hiele’s Level". Eurasia Journal of Mathematics, Science and Technology Education, vol. 18, no. 4, 2022, em2096. https://doi.org/10.29333/ejmste/11914