Issues in the Design of an Environment to Support the Learning of Mathematical Generalisation

Authors:
Darren Pearce;Manolis Mavrikis;Eirini Geraniou;Sergio Gutiérrez
Affiliations:
London Knowledge Lab, Birkbeck College,;London Knowledge Lab, Institute of Education,;London Knowledge Lab, Institute of Education,;London Knowledge Lab, Birkbeck College,
Venue:
EC-TEL '08 Proceedings of the 3rd European conference on Technology Enhanced Learning: Times of Convergence: Technologies Across Learning Contexts
Year:
2008

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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.