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

Pearce, Darren; Mavrikis, Manolis; Geraniou, Eirini; Gutiérrez, Sergio; (2008) Issues in the Design of an Environment to Support the Learning of Mathematical Generalisation. In: Dillenbourg, Pierre and Specht, Marcus, (eds.) Times of Convergence: Technologies Across Learning Contexts. (pp. pp. 326-337). Springer: Cham, Switzerland. Green open access

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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.

Type: Proceedings paper
Title: Issues in the Design of an Environment to Support the Learning of Mathematical Generalisation
Event: Third European Conference on Technology Enhanced Learning, EC-TEL 2008
Location: Maastricht, NETHERLANDS
Dates: 16 September 2008 - 19 September 2008
ISBN-13: 978-3-540-87605-2
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/978-3-540-87605-2_37
Publisher version: https://doi.org/10.1007/978-3-540-87605-2_37
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > School of Education
UCL > Provost and Vice Provost Offices > School of Education > UCL Institute of Education
UCL > Provost and Vice Provost Offices > School of Education > UCL Institute of Education > IOE - Culture, Communication and Media
UCL > Provost and Vice Provost Offices > School of Education > UCL Institute of Education > IOE - Curriculum, Pedagogy and Assessment
URI: https://discovery.ucl.ac.uk/id/eprint/1490375
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