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A symbolic dance: the interplay between movement, notation, and mathematics on a journey toward solving equations

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journal contribution
posted on 08.07.2015 by Dave Hewitt
This article analyzes the use of the software Grid Algebra with a mixed ability class of 21 nine-to-ten-year-old students who worked with complex formal notation involving all four arithmetic operations. Unlike many other models to support learning, Grid Algebra has formal notation ever present and allows students to "look through" that notation and interpret it either in terms of physical journeys on a grid or in terms of mathematical operations. A dynamic fluidity was found between the formal notation, imagery of movements on a grid, and the process of mathematical operations. This fluidity is interpreted as a "dance" between these three. The significant way in which this dynamic took place reflects the scaffolding and fading offered by the software, which was crucial to the students' fluency with formal notation well beyond what has been reported from students of that age. © 2014 Taylor and Francis Group, LLC.
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School

  • Science

Department

  • Mathematics Education Centre

Published in

Mathematical Thinking and Learning

Volume

16

Issue

1

Pages

1 - 31

Citation

HEWITT, D., 2014. A symbolic dance: the interplay between movement, notation, and mathematics on a journey toward solving equations. Mathematical Thinking and Learning, 16 (1), pp. 1 - 31.

Publisher

© Taylor and Francis

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2014

Notes

This is an Accepted Manuscript of an article published in Mathematical Thinking and Learning on 5 February 2014, available online: http://www.tandfonline.com/10.1080/10986065.2014.857803

ISSN

1098-6065

eISSN

1532-7833

Language

en

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