Learning to measure the area of circles
Open access copy at publisher website
Description
The study of the area of circles is an important component of mathematics education for students of all ages; however, evidence suggests that many middle school students struggle to interpret and apply the area formula of a circle. In this article, I report the findings of a classroom design study conducted to investigate the collective establishment and justification for the area formula of a circle. An instructional sequence comprising paper-based decomposition and recomposition measurement tasks situated on a grid was implemented in a Year 8 classroom (n = 18) and the collective mathematical practices that emerged from an analysis of the argumentation of students during whole-class discussion were documented. The findings extend the existing literature by illustrating how decomposition/recomposition tasks can be leveraged in a classroom context by grounding students’ reasoning in measurement strategies and opportunities to examine alternative strategies and justifications through whole-class discussions.
Impact and interest:
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ID Code: | 246119 | ||
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Item Type: | Contribution to Journal (Journal Article) | ||
Refereed: | Yes | ||
ORCID iD: |
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Measurements or Duration: | 27 pages | ||
Keywords: | Area measurement, circles, Decomposition and recomposition | ||
DOI: | 10.1080/14794802.2024.2304329 | ||
ISSN: | 1479-4802 | ||
Pure ID: | 156840761 | ||
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: | 2024 The Authors | ||
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: | 05 Feb 2024 23:32 | ||
Last Modified: | 22 Apr 2024 16:00 |
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