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RESEARCH PAPER
Epistemological Obstacle in Transformation Geometry Based on van Hiele’s Level
1
Mathematics Education Study Program, School of Postgraduate Studies, Universitas Pendidikan Indonesia, INDONESIA
2
Mathematics Education, Faculty of Teacher Training and Education, Universitas Pasundan, INDONESIA
3
Department of Mathematics Education, Universitas Pendidikan Indonesia, INDONESIA
Publication date: 2022-03-23
EURASIA J. Math., Sci Tech. Ed 2022;18(4):em2096
KEYWORDS
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.
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| eISSN: | 1305-8223 |
| ISSN: | 1305-8215 |
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