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Dotty triangles: two different approaches to analysing young children’s responses to a pattern replication activity

Thouless, H; Gifford, S; (2018) Dotty triangles: two different approaches to analysing young children’s responses to a pattern replication activity. In: Golding, Jennie and Bretscher, Nicola and Crisan, Cosette and Geraniou, Eirini and Hodgen, Jeremy and Morgan, Candia, (eds.) Proceedings of the 9th British Congress of Mathematics Education 2018. (pp. pp. 175-182). BSRLM: University of Warwick, UK. Green open access

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Abstract

This article presents results from an exploratory study into developing pattern awareness with children aged 3 to 5, following the work of Mulligan and Mitchelmore (2009) on Awareness of Mathematical Pattern and Structure (AMPS). When the children copied a 6-dot triangular pattern, we similarly found diverse responses, which we analysed using the AMPS levels and then Biggs and Collis’ SOLO taxonomy. The latter approach revealed that children responded to up to 5 elements in the pattern. This approach allowed us to identify positively the beginning stages of structural understanding, when children recognised 1 or 2 elements of the pattern. It also emphasised the challenge that the apparently simple task of copying an image can present to young children.

Type: Proceedings paper
Title: Dotty triangles: two different approaches to analysing young children’s responses to a pattern replication activity
Event: 9th British Congress on Mathematics Education
Location: University of Warwick, UK
Dates: 03 April 2018 - 06 April 2018
Open access status: An open access version is available from UCL Discovery
Publisher version: https://bsrlm.org.uk/wp-content/uploads/2018/11/BC...
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: patterns, early years mathematics, SOLO taxonomy
UCL classification: UCL
UCL > Provost and Vice Provost Offices
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 - Curriculum, Pedagogy and Assessment
URI: https://discovery.ucl.ac.uk/id/eprint/10058063
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