Spatial reasoning skills about 2D representations of 3D geometrical shapes in grades 4 to 9
dc.contributor.author | Fujita, T | |
dc.contributor.author | Kondo, Y | |
dc.contributor.author | Kumakura, H | |
dc.contributor.author | Kunimune, S | |
dc.contributor.author | Jones, K | |
dc.date.accessioned | 2020-05-28T09:21:34Z | |
dc.date.issued | 2020-05-27 | |
dc.description.abstract | Given the important role played by students’ spatial reasoning skills, in this paper we analyse how students use these skills to solve problems involving 2D representations of 3D geometrical shapes. Using data from in total 1357 grades 4 to 9 students, we examine how they visualise shapes in the given diagrams and make use of properties of shapes to reason. We found that using either spatial visualisation or property-based spatial analytic reasoning is not enough for the problems that required more than one step of reasoning, but also that these two skills have to be harmonised by domain-specific knowledge in order to overcome the perceptual appearance (or “look”) of the given diagram. We argue that more opportunities might be given to both primary and secondary school students in which they can exercise not only their spatial reasoning skills but also consolidate and use their existing domain-specific knowledge of geometry for productive reasoning in geometry. | en_GB |
dc.identifier.citation | Published online 27 May 2020 | en_GB |
dc.identifier.doi | 10.1007/s13394-020-00335-w | |
dc.identifier.uri | http://hdl.handle.net/10871/121190 | |
dc.language.iso | en | en_GB |
dc.publisher | Mathematics Education Research Group of Australasia / Springer Verlag | en_GB |
dc.rights | © The Author(s) 2020. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. | en_GB |
dc.title | Spatial reasoning skills about 2D representations of 3D geometrical shapes in grades 4 to 9 | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2020-05-28T09:21:34Z | |
dc.identifier.issn | 1033-2170 | |
dc.description | This is the final version. Available on open access from the Mathematics Education Research Group of Australasia via the DOI in this record | en_GB |
dc.identifier.journal | Mathematics Education Research Journal | en_GB |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_GB |
dcterms.dateAccepted | 2020-05-02 | |
rioxxterms.version | VoR | en_GB |
rioxxterms.licenseref.startdate | 2020-05-02 | |
rioxxterms.type | Journal Article/Review | en_GB |
refterms.dateFCD | 2020-05-28T06:57:47Z | |
refterms.versionFCD | EVoR | |
refterms.dateFOA | 2020-05-28T09:21:42Z | |
refterms.panel | C | en_GB |
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Except where otherwise noted, this item's licence is described as © The Author(s) 2020. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.