Learning to measure the area of composite shapes
Open access copy at publisher website
Description
Learning to calculate the area of composite shapes is an important application of area measurement but evidence suggests that many middle school students struggle to calculate the area of even simple composite shapes. In this article, I report the findings of a classroom design study conducted to investigate the collective development of strategies for measuring the area of composite shapes. I used the theory of strategy choice from an emergent perspective to analyze the collective strategy choice of two Year 8 mathematics classes (n = 31) and the findings revealed that the classes developed a repertoire of strategies to decompose the shapes, measure the area of the constituent shapes, and recompose those areas to calculate total area. The students used their strategies in flexible combinations in response to the varying features of the composite shapes presented and developed justifications to support their emerging adaptive strategy choice.
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ID Code: | 237255 | ||
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Item Type: | Contribution to Journal (Journal Article) | ||
Refereed: | Yes | ||
ORCID iD: |
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Additional Information: | Funding: Open Access funding enabled and organized by CAUL and its Member Institutions | ||
Measurements or Duration: | 35 pages | ||
Keywords: | Area measurement, Composite shapes, Decomposition and recomposition, Strategy choice | ||
DOI: | 10.1007/s10649-022-10191-z | ||
ISSN: | 0013-1954 | ||
Pure ID: | 122236561 | ||
Divisions: | Current > QUT Faculties and Divisions > Faculty of Creative Industries, Education & Social Justice Current > Schools > School of Teacher Education & Leadership |
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Copyright Owner: | 2022 Crown | ||
Copyright Statement: | This work is covered by copyright. Unless the document is being made available under a Creative Commons Licence, you must assume that re-use is limited to personal use and that permission from the copyright owner must be obtained for all other uses. If the document is available under a Creative Commons License (or other specified license) then refer to the Licence for details of permitted re-use. It is a condition of access that users recognise and abide by the legal requirements associated with these rights. If you believe that this work infringes copyright please provide details by email to qut.copyright@qut.edu.au | ||
Deposited On: | 23 Jan 2023 05:59 | ||
Last Modified: | 22 Apr 2024 15:58 |
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