Characterizing Interaction with Visual Mathematical Representations
IJCFML Volume 11, Number 1, ISSN 1382-3892
This paper presents a characterization of computer-based interactions by which learners can explore and investigate visual mathematical representations (VMRs). VMRs (e.g., geometric structures, graphs, and diagrams) refer to graphical representations that visually encode properties and relationships of mathematical structures and concepts. Currently, most mathematical tools provide methods by which a learner can interact with these representations. Interaction, in such cases, mediates between the VMR and the thinking, reasoning, and intentions of the learner, and is often intended to support the cognitive tasks that the learner may want to perform on or with the representation. This paper brings together a diverse set of interaction techniques and categorizes and describes them according to their common characteristics, goals, intended benefits, and features. In this way, this paper aims to provide a preliminary framework to help designers of mathematical cognitive tools in their selection and analysis of different interaction techniques as well as to foster the design of more innovative interactive mathematical tools. An effort is made to demonstrate how the different interaction techniques developed in the context of other disciplines (e.g., information visualization) can support a diverse set of mathematical tasks and activities involving VMRs.
Sedig, K. & Sumner, M. (2006). Characterizing Interaction with Visual Mathematical Representations. International Journal of Computers for Mathematical Learning, 11(1), 1-55.
Cited ByView References & Citations Map
Paul Parsons & Kamran Sedig, University of Western Ontario, Canada
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Kamran Sedig & Hai-Ning Liang, University of Western Ontario, Canada; Jim Morey, Wesleyan College, United States
EdMedia + Innovate Learning 2009 (Jun 22, 2009) pp. 1021–1029
From Play to Thoughtful Learning: A Design Strategy to Engage Children With Mathematical Representations
Kamran Sedig, The University of Western Ontario, Canada
Journal of Computers in Mathematics and Science Teaching Vol. 27, No. 1 (January 2008) pp. 65–101
Kamran Sedig & Hai-Ning Liang, The University of Western Ontario, Canada
Journal of Interactive Learning Research Vol. 19, No. 1 (January 2008) pp. 147–173
George Gadanidis, Faculty of Education, University of Western Ontario, Canada; Rick Jardine & Kamran Sedig, Faculty of Science, University of Western Ontario, Canada
EdMedia + Innovate Learning 2007 (Jun 25, 2007) pp. 3532–3537
Kamran Sedig & Hai-Ning Liang, University of Western Ontario, Canada
EdMedia + Innovate Learning 2006 (June 2006) pp. 712–719
Hai-Ning Liang & Sedig Kamran, University of Western Ontario, Canada
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