The University of Southampton
University of Southampton Institutional Repository

Primary pre-service teachers: reasoning and generalisation

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
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
Golding, Jennie
Bretscher, Nicola
Crisan, Cosette
Geraniou, Eirini
Hodgen, Jeremy
Morgan, Candia
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
Golding, Jennie
Bretscher, Nicola
Crisan, Cosette
Geraniou, Eirini
Hodgen, Jeremy
Morgan, Candia

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, pp. 159-166.

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
Download (197kB)

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
ORCID for Chronoula Voutsina: ORCID iD orcid.org/0000-0003-2196-5816

Catalogue record

Date deposited: 09 Nov 2018 17:30
Last modified: 29 Nov 2022 02:39

Export record

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

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×