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Geometric Transformations and Symmetry in Primary and Secondary Education: A Review of Themes, Media, and Theoretical Frames from 1990 to Present

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Title: Geometric Transformations and Symmetry in Primary and Secondary Education: A Review of Themes, Media, and Theoretical Frames from 1990 to Present
Language: English
Authors: J. Enrique Hernández-Zavaleta (ORCID 0000-0003-2937-1932), Sandra Becker (ORCID 0000-0002-0478-045X), Douglas Clark (ORCID 0000-0002-4757-8446), Corey Brady (ORCID 0000-0002-4086-9638), Lydia Cao (ORCID 0000-0002-4947-9281)
Source: International Journal of Education in Mathematics, Science and Technology. 2026 14(1):149-177.
Availability: International Journal of Education in Mathematics, Science and Technology. Necmettin Erbakan University, Ahmet Kelesoglu Education Faculty, Meram, Konya, 42090, Turkey. e-mail: ijermst@gmail.com; Web site: https://www.ijemst.net/index.php/ijemst/index
Peer Reviewed: Y
Page Count: 29
Publication Date: 2026
Document Type: Journal Articles
Information Analyses
Education Level: Elementary Secondary Education
Descriptors: Elementary Secondary Education, Geometry, Transformations (Mathematics), Mathematics Instruction, Educational Theories, Educational Trends, Educational Research, Instructional Materials
ISSN: 2147-611X
Abstract: There is need for increased focus on geometric transformations and symmetry in primary and secondary education, as well as increased research to support learning and teaching of geometric transformations. To identify directions for future research and teaching, we set out to map the research that has already been conducted and to identify key areas of focus and opportunity going forward. Toward these goals, this systematic review examines 62 peer-reviewed articles on teaching and learning about 2D geometric transformations and symmetry since 1990. To guide our review, we use the Preferred Reporting Items for Systematic Reviews and Meta-Analyses (PRISMA) protocol. The review explores the research in terms of: (a) how students learn about transformations, (b) how teaching about transformations has been conceptualized, (c) how media have been leveraged to support learning about transformations, and (d) which theoretical frames have been leveraged and how have those frames shifted over time. Discussion and conclusions consider key areas of growth for the field going forward to better support teachers and students learning about symmetry and transformations.
Abstractor: As Provided
Entry Date: 2026
Accession Number: EJ1494411
Database: ERIC
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  Data: Geometric Transformations and Symmetry in Primary and Secondary Education: A Review of Themes, Media, and Theoretical Frames from 1990 to Present
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  Data: <searchLink fieldCode="AR" term="%22J%2E+Enrique+Hernández-Zavaleta%22">J. Enrique Hernández-Zavaleta</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0003-2937-1932">0000-0003-2937-1932</externalLink>)<br /><searchLink fieldCode="AR" term="%22Sandra+Becker%22">Sandra Becker</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0002-0478-045X">0000-0002-0478-045X</externalLink>)<br /><searchLink fieldCode="AR" term="%22Douglas+Clark%22">Douglas Clark</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0002-4757-8446">0000-0002-4757-8446</externalLink>)<br /><searchLink fieldCode="AR" term="%22Corey+Brady%22">Corey Brady</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0002-4086-9638">0000-0002-4086-9638</externalLink>)<br /><searchLink fieldCode="AR" term="%22Lydia+Cao%22">Lydia Cao</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0002-4947-9281">0000-0002-4947-9281</externalLink>)
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  Data: International Journal of Education in Mathematics, Science and Technology. Necmettin Erbakan University, Ahmet Kelesoglu Education Faculty, Meram, Konya, 42090, Turkey. e-mail: ijermst@gmail.com; Web site: https://www.ijemst.net/index.php/ijemst/index
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  Data: There is need for increased focus on geometric transformations and symmetry in primary and secondary education, as well as increased research to support learning and teaching of geometric transformations. To identify directions for future research and teaching, we set out to map the research that has already been conducted and to identify key areas of focus and opportunity going forward. Toward these goals, this systematic review examines 62 peer-reviewed articles on teaching and learning about 2D geometric transformations and symmetry since 1990. To guide our review, we use the Preferred Reporting Items for Systematic Reviews and Meta-Analyses (PRISMA) protocol. The review explores the research in terms of: (a) how students learn about transformations, (b) how teaching about transformations has been conceptualized, (c) how media have been leveraged to support learning about transformations, and (d) which theoretical frames have been leveraged and how have those frames shifted over time. Discussion and conclusions consider key areas of growth for the field going forward to better support teachers and students learning about symmetry and transformations.
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