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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Muhammadiyah University Press
2021
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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) |
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spatial abilities, spatial conception, geometric transformations, hypothetical learning trajectory Education (General) L7-991 Science Q Mathematics QA1-939 |
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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 |
_version_ |
1718418843340111872 |