Representation in Computational Environments: Epistemological and Social Distance |
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Authors: | Candia Morgan Maria Alessandra Mariotti and Laura Maffei |
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Institution: | (1) Institute of Education, University of London, London, UK;(2) Universit? di Siena, Siena, Italy |
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Abstract: | Computational environments have the potential to provide new representational resources and new ways of supporting teaching
and learning of mathematics. In this paper, we seek to characterize relationships between the representations offered by particular
technologies and other representations commonly available in the classroom context, using the notion of ‘distance’. Distance
between representations in different media may be epistemological, affecting the nature of the mathematical concepts available
to students, or may be social, affecting pedagogic relationships in the classroom and the ease with which the technology may
be adopted in particular classroom or national contexts. We illustrate these notions through examples taken from cross-experimentation
of computational environments in national contexts different from those in which they were developed. Implications for the
design and dissemination of computational environments for use in learning mathematics are discussed. |
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