Stimulating Proportional Reasoning through Engaging Contexts

Shelley Dole; Ann Downton; Jill Cheeseman; Carly Sawatzki

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Stimulating Proportional Reasoning through Engaging Contexts

Conference paper

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Peer reviewed

Stimulating Proportional Reasoning through Engaging Contexts

Shelley Dole, Ann Downton, Jill Cheeseman and Carly Sawatzki

Proceedings of the 41st Annual Conference of the Mathematics Education Research Group of Australasia, pp.50-66

Annual Conference of the Mathematics Education Research Group of Australasia (MERGA), 41st (Auckland, New Zealand, 01-Jul-2018–05-Jul-2018)

Mathematics Education Research Group of Australasia (MERGA)

2018

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Abstract

Specialist Studies in Education

The representations, tools and task discussed were designed as a response to a pedagogical challenge: How can the "times as many" idea of multiplication be investigated meaningfully? The task involves experimenting with different types of elastic to test their "stretchiness". Reasoning during the task, with the affordances offered by the tools, learners as young as 11 years old were able to reason in terms of the multiplicative comparison. We discuss what mathematical insight, activity, and understanding is available to learners via engagement with the task.

Details

Title: Stimulating Proportional Reasoning through Engaging Contexts
Authors: Shelley Dole (Author) - University of the Sunshine Coast - Faculty of Science, Health, Education and Engineering
Ann Downton (Author) - Monash University
Jill Cheeseman (Author) - Monash University
Carly Sawatzki (Author) - University of Canberra
Contributors: Jodie Hunter (Editor)
Lisa Darragh (Editor)
Pam Perger (Editor)
Publication details: Proceedings of the 41st Annual Conference of the Mathematics Education Research Group of Australasia, pp.50-66
Conference details: Annual Conference of the Mathematics Education Research Group of Australasia (MERGA), 41st (Auckland, New Zealand, 01-Jul-2018–05-Jul-2018)
Publisher: Mathematics Education Research Group of Australasia (MERGA)
Date published: 2018
Copyright note: 2018 Mathematics Education Research Group of Australasia Inc Reproduced here with the permission in accordance with the publisher's copyright policy.
Organisation Unit: School of Education - Legacy; Indigenous and Transcultural Research Centre; School of Education and Tertiary Access; University of the Sunshine Coast, Queensland
Language: English
Record Identifier: 99450677202621
Output Type: Conference paper

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