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The Construction of Mathematical Meanings: Connecting the Visual with the Symbolic Export

Educational Studies in Mathematics, Vol. 33, No. 2. (July 1997), pp. 203-233.

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mathsticks multiple-representations

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In this paper, we explore the relationship between learners' actions, visualisations and the means by which these are articulated. We describe a microworld, Mathsticks, designed to help students construct mathematical meanings by forging links between the rhythms of their actions and the visual and corresponding symbolic representations they developed. Through a case study of two students interacting with Mathsticks, we illustrate a view of mathematics learning which places at its core the medium of expression, and the building of connections between different mathematisations rather than ascending to hierarchies of decontextualisation.


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