Issues in the design of an environment to support the learning of mathematical generalisation

Pearce, D. and Mavrikis, M. and Geraniou, E. and Gutierrez-Santos, Sergio (2008) Issues in the design of an environment to support the learning of mathematical generalisation. In: Dillenbourg, P. and Specht, M. (eds.) Times of Convergence. Technologies Across Learning Contexts. Lecture Notes in Computer Science 5192. Berlin, Germany: Springer Verlag, pp. 326-337. ISBN 9783540876045.

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Official URL: http://dx.doi.org/10.1007/978-3-540-87605-2_37

Abstract

Expressing generality, recognising and analysing patterns and articulating structure is a complex task and one that is invariably problematic for students. Nonetheless, very few systems exist that support learners explicitly in the process of mathematical generalisation. We have addressed this by developing a novel environment that supports users in their reasoning and problem-solving of generalisation tasks. We have followed a stakeholder-centred design process, integrating feedback and reflections from twenty-four children, five teachers and a variety of other stakeholders. This paper focuses on several inter-related design issues that have been informed by this iterative process and demonstrates how the system can be used for a typical generalisation task to foster an appreciation of generality and indeed algebra.

Metadata

Item Type:	Book Section
School:	Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
Research Centres and Institutes:	Birkbeck Knowledge Lab
Depositing User:	Sarah Hall
Date Deposited:	17 May 2013 15:51
Last Modified:	09 Aug 2023 12:33
URI:	https://eprints.bbk.ac.uk/id/eprint/6874

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