Primary pre-service teachers: reasoning and generalisation
Primary pre-service teachers: reasoning and generalisation
Generalising tasks, in the context of mathematical reasoning, have featured in our work with primary pre-service teachers (PSTs). We used two particular problems - 'matchstick squares' and 'flower beds' - to explore the generalisation approaches taken by PSTs. In this paper, we analyse the ways in which one of them, Terry, uses recursive or functional approaches to generalisation, and how he attends to looking for a relationship and seeing sameness and difference between figures in a sequence. We consider what motivates shifts in attention, the significance of the PST's prior experience and of PST-collaboration in our teaching sessions. We conclude with a discussion about the significance of this activity in the PST’s preparation for teaching, with reference to Mason's (2010) notions of pro-spection and retro-spection.
generalisation, reasoning, pre-service primary mathematics teacher education
159-166
British Congress of Mathematics Education
Rowland, Tim
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Ineson, Gwen
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Alderton, Julie
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Donaldson, Gina
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Voutsina, Chronoula
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Wilson, Kirsty
4a071218-522a-45c1-a69d-9fa86e85502a
2018
Rowland, Tim
3210f781-83d0-41fe-81c3-2106d9088ee9
Ineson, Gwen
88422ece-edea-4b9a-9bc2-c025be54be68
Alderton, Julie
e7569e57-f7cf-4fca-9eab-61139dc52811
Donaldson, Gina
78a36e57-afe6-450c-b849-8b3e8220d37e
Voutsina, Chronoula
bd9934e7-f8e0-4b82-a664-a1fe48850082
Wilson, Kirsty
4a071218-522a-45c1-a69d-9fa86e85502a
Rowland, Tim, Ineson, Gwen, Alderton, Julie, Donaldson, Gina, Voutsina, Chronoula and Wilson, Kirsty
(2018)
Primary pre-service teachers: reasoning and generalisation.
In,
Golding, Jennie, Bretscher, Nicola, Crisan, Cosette, Geraniou, Eirini, Hodgen, Jeremy and Morgan, Candia
(eds.)
Research Proceedings of the 9th British Congress on Mathematics Education (BCME9).
British Congress of Mathematics Education, .
Record type:
Book Section
Abstract
Generalising tasks, in the context of mathematical reasoning, have featured in our work with primary pre-service teachers (PSTs). We used two particular problems - 'matchstick squares' and 'flower beds' - to explore the generalisation approaches taken by PSTs. In this paper, we analyse the ways in which one of them, Terry, uses recursive or functional approaches to generalisation, and how he attends to looking for a relationship and seeing sameness and difference between figures in a sequence. We consider what motivates shifts in attention, the significance of the PST's prior experience and of PST-collaboration in our teaching sessions. We conclude with a discussion about the significance of this activity in the PST’s preparation for teaching, with reference to Mason's (2010) notions of pro-spection and retro-spection.
Text
RowlandT et al_BCME9_Authors' copy-PURE Copy
More information
Published date: 2018
Keywords:
generalisation, reasoning, pre-service primary mathematics teacher education
Identifiers
Local EPrints ID: 426020
URI: http://eprints.soton.ac.uk/id/eprint/426020
PURE UUID: e0e2a0a9-a977-46a8-84ed-22286999203d
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Date deposited: 09 Nov 2018 17:30
Last modified: 16 Mar 2024 03:45
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Contributors
Author:
Tim Rowland
Author:
Gwen Ineson
Author:
Julie Alderton
Author:
Gina Donaldson
Author:
Kirsty Wilson
Editor:
Jennie Golding
Editor:
Nicola Bretscher
Editor:
Cosette Crisan
Editor:
Eirini Geraniou
Editor:
Jeremy Hodgen
Editor:
Candia Morgan
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