Abstraction level of van Hiele’s theory: Occurrence of side effects in GeoGebra integration

One of the obstacles to teaching geometric transformation is the complex procedures that require a broad base of prerequisite knowledge. This complexity often leads students to focus on rote memorization and procedural calculations instead of understanding the underlying context. This study aims to...

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Main Authors: Thesa Kandaga, Idha Novianti, Mazlini Adnan
Format: Article
Language:Indonesian
Published: Universitas Hamzanwadi 2025-02-01
Series:Jurnal Elemen
Subjects:
Online Access:https://e-journal.hamzanwadi.ac.id/index.php/jel/article/view/26938
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author Thesa Kandaga
Idha Novianti
Mazlini Adnan
author_facet Thesa Kandaga
Idha Novianti
Mazlini Adnan
author_sort Thesa Kandaga
collection DOAJ
description One of the obstacles to teaching geometric transformation is the complex procedures that require a broad base of prerequisite knowledge. This complexity often leads students to focus on rote memorization and procedural calculations instead of understanding the underlying context. This study aims to overcome these challenges by developing a hypothetical learning trajectory (HLT) and using GeoGebra to enhance visualization and understanding. The case study involved ten university students in Indonesia who tackled the abstraction level in the Transformation, Isometries, and Reflection topics. The researchers analyzed students' worksheets, activity observations, and learning obstacle tests to extract their geometric thinking. Qualitative analysis of the data revealed that seven out of ten participants met three of the four abstraction level indicators. The use of GeoGebra in HLT helped overcome epistemological obstacles. However, integrating GeoGebra into the HLT introduced a new issue: a GeoGebra-centric habit characterized by an excessive dependence on GeoGebra in solving geometric transformation problems.
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institution Kabale University
issn 2442-4226
language Indonesian
publishDate 2025-02-01
publisher Universitas Hamzanwadi
record_format Article
series Jurnal Elemen
spelling doaj-art-4e412d6da68d461494fcdd3d91ff66bd2025-02-04T02:04:35ZindUniversitas HamzanwadiJurnal Elemen2442-42262025-02-0111110.29408/jel.v11i1.2693834184Abstraction level of van Hiele’s theory: Occurrence of side effects in GeoGebra integrationThesa Kandaga0https://orcid.org/0000-0003-0007-6307Idha Novianti1Mazlini Adnan2Universitas TerbukaUniversitas TerbukaUniversiti Pendidikan Sultan Idris One of the obstacles to teaching geometric transformation is the complex procedures that require a broad base of prerequisite knowledge. This complexity often leads students to focus on rote memorization and procedural calculations instead of understanding the underlying context. This study aims to overcome these challenges by developing a hypothetical learning trajectory (HLT) and using GeoGebra to enhance visualization and understanding. The case study involved ten university students in Indonesia who tackled the abstraction level in the Transformation, Isometries, and Reflection topics. The researchers analyzed students' worksheets, activity observations, and learning obstacle tests to extract their geometric thinking. Qualitative analysis of the data revealed that seven out of ten participants met three of the four abstraction level indicators. The use of GeoGebra in HLT helped overcome epistemological obstacles. However, integrating GeoGebra into the HLT introduced a new issue: a GeoGebra-centric habit characterized by an excessive dependence on GeoGebra in solving geometric transformation problems. https://e-journal.hamzanwadi.ac.id/index.php/jel/article/view/26938geometric thinkingvan Hiele modelhypothetical learning trajectoryepistemological obstacleGeoGebra
spellingShingle Thesa Kandaga
Idha Novianti
Mazlini Adnan
Abstraction level of van Hiele’s theory: Occurrence of side effects in GeoGebra integration
Jurnal Elemen
geometric thinking
van Hiele model
hypothetical learning trajectory
epistemological obstacle
GeoGebra
title Abstraction level of van Hiele’s theory: Occurrence of side effects in GeoGebra integration
title_full Abstraction level of van Hiele’s theory: Occurrence of side effects in GeoGebra integration
title_fullStr Abstraction level of van Hiele’s theory: Occurrence of side effects in GeoGebra integration
title_full_unstemmed Abstraction level of van Hiele’s theory: Occurrence of side effects in GeoGebra integration
title_short Abstraction level of van Hiele’s theory: Occurrence of side effects in GeoGebra integration
title_sort abstraction level of van hiele s theory occurrence of side effects in geogebra integration
topic geometric thinking
van Hiele model
hypothetical learning trajectory
epistemological obstacle
GeoGebra
url https://e-journal.hamzanwadi.ac.id/index.php/jel/article/view/26938
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AT idhanovianti abstractionlevelofvanhielestheoryoccurrenceofsideeffectsingeogebraintegration
AT mazliniadnan abstractionlevelofvanhielestheoryoccurrenceofsideeffectsingeogebraintegration