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Quadratic: manipulating algebraic expressions on an interactive tabletop

Published: 09 June 2010 Publication History

Abstract

This paper introduces Quadratic---a virtual manipulative for two people to explore algebraic expressions on an interactive tabletop. Users assemble rectangles out of fundamental components: 1, x, and x2. As the area of a rectangle is both the product of its sides and the sum of its components, users can explore how the product of two linear expressions (the rectangle's sides) equals a quadratic equation (the rectangle's area). This virtual manipulative adds several important features to the previously existing physical manipulative: 1) negative pieces; 2) multiple palettes; 3) multiple linked representations between the visual elements, the equivalent algebraic expression, and the graph of that expression; 4) the ability to provide feedback on posed challenges.

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Cited By

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  • (2018)Multimodal Algebra Learning: From Math Manipulatives to Tangible User Interfacesi-com10.1515/icom-2018-002717:3(201-209)Online publication date: 14-Nov-2018
  • (2014)Modeling Diffusion of Tabletop for Collaborative Learning Using Interactive Science Lab SimulationsProceedings of the 10th International Conference on Distributed Computing and Internet Technology - Volume 833710.1007/978-3-319-04483-5_34(333-340)Online publication date: 6-Feb-2014
  • (2011)Modeling on the tableProceedings of the 10th International Conference on Interaction Design and Children10.1145/1999030.1999058(189-192)Online publication date: 20-Jun-2011
  • Show More Cited By

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    cover image ACM Other conferences
    IDC '10: Proceedings of the 9th International Conference on Interaction Design and Children
    June 2010
    389 pages
    ISBN:9781605589510
    DOI:10.1145/1810543
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    New York, NY, United States

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    Published: 09 June 2010

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    Author Tags

    1. collaborative learning
    2. interactive tabletops
    3. manipulatives
    4. mathematics learning

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    View all
    • (2018)Multimodal Algebra Learning: From Math Manipulatives to Tangible User Interfacesi-com10.1515/icom-2018-002717:3(201-209)Online publication date: 14-Nov-2018
    • (2014)Modeling Diffusion of Tabletop for Collaborative Learning Using Interactive Science Lab SimulationsProceedings of the 10th International Conference on Distributed Computing and Internet Technology - Volume 833710.1007/978-3-319-04483-5_34(333-340)Online publication date: 6-Feb-2014
    • (2011)Modeling on the tableProceedings of the 10th International Conference on Interaction Design and Children10.1145/1999030.1999058(189-192)Online publication date: 20-Jun-2011
    • (2011)Representing equalityProceedings of the 10th International Conference on Interaction Design and Children10.1145/1999030.1999054(173-176)Online publication date: 20-Jun-2011

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