Hypothetical learning trajectory in student’s spatial abilities to learn geometric transformation

The relationship between spatial conceptions and students' spatial abilities is still rarely studied specifically, even though this is the basis for students to think in learning geometry. This paper aims to explore spatial abilities and the development of spatial ability theory, discusses the...

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Autores principales: Ricki Yuliardi, Rizky Rosjanuardi
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Publicado: Muhammadiyah University Press 2021
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Acceso en línea:https://doaj.org/article/a281e7dbdd4d41ecb6e18303e4bde555
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spelling oai:doaj.org-article:a281e7dbdd4d41ecb6e18303e4bde5552021-11-21T14:42:31ZHypothetical learning trajectory in student’s spatial abilities to learn geometric transformation2503-369710.23917/jramathedu.v6i3.13338https://doaj.org/article/a281e7dbdd4d41ecb6e18303e4bde5552021-06-01T00:00:00Zhttps://journals.ums.ac.id/index.php/jramathedu/article/view/13338https://doaj.org/toc/2503-3697The relationship between spatial conceptions and students' spatial abilities is still rarely studied specifically, even though this is the basis for students to think in learning geometry. This paper aims to explore spatial abilities and the development of spatial ability theory, discusses the relationship between spatial conceptions in students' understanding, and how to develop HLT (Hypothetical Learning Trajectory)in transformation geometry learning. HLT design consists of three stages: initial design, experimental, and retrospective analysis. The results of HLT are then refined into LIT (Local Instructional Trajectory). Then this paper present the empirical results of the perceptions of twenty  9th grade students in one of Islamic private school in Kabupaten Kuningan, West Java, Indonesia, towards the corresponding geometric and math questions. Literature review analysis was used to analyze the retrieved articles. At the end of the paper, we explain and discuss how to apply mathematical conceptions in learning geometry. This research is expected to be a guidance for teachers to develop learning in accordance with the students' spatial thinking process in studying geometry.Ricki YuliardiRizky RosjanuardiMuhammadiyah University Pressarticlespatial abilities, spatial conception, geometric transformations, hypothetical learning trajectoryEducation (General)L7-991ScienceQMathematicsQA1-939ENIDJournal of Research and Advances in Mathematics Education, Vol 6, Iss 3, Pp 174-190 (2021)
institution DOAJ
collection DOAJ
language EN
ID
topic spatial abilities, spatial conception, geometric transformations, hypothetical learning trajectory
Education (General)
L7-991
Science
Q
Mathematics
QA1-939
spellingShingle spatial abilities, spatial conception, geometric transformations, hypothetical learning trajectory
Education (General)
L7-991
Science
Q
Mathematics
QA1-939
Ricki Yuliardi
Rizky Rosjanuardi
Hypothetical learning trajectory in student’s spatial abilities to learn geometric transformation
description The relationship between spatial conceptions and students' spatial abilities is still rarely studied specifically, even though this is the basis for students to think in learning geometry. This paper aims to explore spatial abilities and the development of spatial ability theory, discusses the relationship between spatial conceptions in students' understanding, and how to develop HLT (Hypothetical Learning Trajectory)in transformation geometry learning. HLT design consists of three stages: initial design, experimental, and retrospective analysis. The results of HLT are then refined into LIT (Local Instructional Trajectory). Then this paper present the empirical results of the perceptions of twenty  9th grade students in one of Islamic private school in Kabupaten Kuningan, West Java, Indonesia, towards the corresponding geometric and math questions. Literature review analysis was used to analyze the retrieved articles. At the end of the paper, we explain and discuss how to apply mathematical conceptions in learning geometry. This research is expected to be a guidance for teachers to develop learning in accordance with the students' spatial thinking process in studying geometry.
format article
author Ricki Yuliardi
Rizky Rosjanuardi
author_facet Ricki Yuliardi
Rizky Rosjanuardi
author_sort Ricki Yuliardi
title Hypothetical learning trajectory in student’s spatial abilities to learn geometric transformation
title_short Hypothetical learning trajectory in student’s spatial abilities to learn geometric transformation
title_full Hypothetical learning trajectory in student’s spatial abilities to learn geometric transformation
title_fullStr Hypothetical learning trajectory in student’s spatial abilities to learn geometric transformation
title_full_unstemmed Hypothetical learning trajectory in student’s spatial abilities to learn geometric transformation
title_sort hypothetical learning trajectory in student’s spatial abilities to learn geometric transformation
publisher Muhammadiyah University Press
publishDate 2021
url https://doaj.org/article/a281e7dbdd4d41ecb6e18303e4bde555
work_keys_str_mv AT rickiyuliardi hypotheticallearningtrajectoryinstudentsspatialabilitiestolearngeometrictransformation
AT rizkyrosjanuardi hypotheticallearningtrajectoryinstudentsspatialabilitiestolearngeometrictransformation
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