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Next steps in implementing Kaput's research programme

Hoyles, Celia; Noss, Richard; (2008) Next steps in implementing Kaput's research programme. Educational Studies in Mathematics , 68 (2) pp. 85-97. Green open access

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Abstract

We explore some key constructs and research themes initiated by Jim Kaput, and attempt to illuminate them further with reference to our own research. These 'design principles' focus on the evolution of digital representations since the early nineties, and we attempt to take forward our collective understanding of the cognitive and cultural affordances they offer. There are two main organising ideas for the paper. The first centres around Kaput's notion of outsourcing of processing power, and explores the implications of this for mathematical learning. We argue that a key component for design is to create visible, transparent views of outsourcing, a transparency without which there may be as many pitfalls as opportunities for mathematical learning. The second organising idea is that of communication, a key notion for Kaput, and the importance of designing for communication in ways that recognise the mutual influence of tools for communication and for mathematical expression.

Type: Article
Title: Next steps in implementing Kaput's research programme
Open access status: An open access version is available from UCL Discovery
Language: English
Additional information: This invited paper, published in one of the two leading journals in the field of Mathematics Education, explores some key constructs and research themes initiated by Jim Kaput, and illuminates them further with reference to the authors' own research. A set of ‘design principles’ is elabored, which focus on the evolution of digital representations since the early nineties, and takes forward the understanding of the cognitive and cultural affordances they offer. The original publication is available at www.springerlink.com
UCL classification: UCL > Provost and Vice Provost Offices > School of Education > UCL Institute of Education
URI: https://discovery.ucl.ac.uk/id/eprint/10001721
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