Primary pre-service teachers: reasoning and generalisation

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Standard

Primary pre-service teachers : reasoning and generalisation. / Rowland, Tim; Ineson, Gwen; Alderton, Julie; Donaldson, Gina ; Voutsina, Chronoula; Wilson, Kirsty.

Research Proceedings of the 9th British Congress on Mathematics Education: 3-6 April, University of Warwick, UK. ed. / Jennie Golding; Nicola Bretscher; Cosette Crisan; Eirini Geraniou; Jeremy Hodgen; Candia Morgan. British Society for Research into Learning Mathematics, 2018. p. 159-166 (BCME Conference Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Harvard

Rowland, T, Ineson, G, Alderton, J, Donaldson, G, Voutsina, C & Wilson, K 2018, Primary pre-service teachers: reasoning and generalisation. in J Golding, N Bretscher, C Crisan, E Geraniou, J Hodgen & C Morgan (eds), Research Proceedings of the 9th British Congress on Mathematics Education: 3-6 April, University of Warwick, UK. BCME Conference Proceedings, British Society for Research into Learning Mathematics, pp. 159-166, Proceedings of the 9th British Congress of Mathematics Education (BCME9) 2018, Warwick, United Kingdom, 3/04/18. <http://www.bsrlm.org.uk/wp-content/uploads/2018/11/BCME9-Research-Proceedings.pdf>

APA

Rowland, T., Ineson, G., Alderton, J., Donaldson, G., Voutsina, C., & Wilson, K. (2018). Primary pre-service teachers: reasoning and generalisation. In J. Golding, N. Bretscher, C. Crisan, E. Geraniou, J. Hodgen, & C. Morgan (Eds.), Research Proceedings of the 9th British Congress on Mathematics Education: 3-6 April, University of Warwick, UK (pp. 159-166). (BCME Conference Proceedings). British Society for Research into Learning Mathematics. http://www.bsrlm.org.uk/wp-content/uploads/2018/11/BCME9-Research-Proceedings.pdf

Vancouver

Rowland T, Ineson G, Alderton J, Donaldson G, Voutsina C, Wilson K. Primary pre-service teachers: reasoning and generalisation. In Golding J, Bretscher N, Crisan C, Geraniou E, Hodgen J, Morgan C, editors, Research Proceedings of the 9th British Congress on Mathematics Education: 3-6 April, University of Warwick, UK. British Society for Research into Learning Mathematics. 2018. p. 159-166. (BCME Conference Proceedings).

Author

Rowland, Tim ; Ineson, Gwen ; Alderton, Julie ; Donaldson, Gina ; Voutsina, Chronoula ; Wilson, Kirsty. / Primary pre-service teachers : reasoning and generalisation. Research Proceedings of the 9th British Congress on Mathematics Education: 3-6 April, University of Warwick, UK. editor / Jennie Golding ; Nicola Bretscher ; Cosette Crisan ; Eirini Geraniou ; Jeremy Hodgen ; Candia Morgan. British Society for Research into Learning Mathematics, 2018. pp. 159-166 (BCME Conference Proceedings).

Bibtex

@inproceedings{e607fc76398c4572b06da19ac81d495f,
title = "Primary pre-service teachers: reasoning and generalisation",
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{\textquoteright}s preparation for teaching, with reference to Mason's (2010) notions of pro- spection and retro-spection.",
author = "Tim Rowland and Gwen Ineson and Julie Alderton and Gina Donaldson and Chronoula Voutsina and Kirsty Wilson",
year = "2018",
month = apr,
day = "3",
language = "English",
series = "BCME Conference Proceedings",
publisher = "British Society for Research into Learning Mathematics",
pages = "159--166",
editor = "Golding, {Jennie } and Nicola Bretscher and Crisan, {Cosette } and Geraniou, {Eirini } and Jeremy Hodgen and Candia Morgan",
booktitle = "Research Proceedings of the 9th British Congress on Mathematics Education",
note = "Proceedings of the 9th British Congress of Mathematics Education (BCME9) 2018, BCME9 ; Conference date: 03-04-2018 Through 06-04-2018",

}

RIS

TY - GEN

T1 - Primary pre-service teachers

T2 - Proceedings of the 9th British Congress of Mathematics Education (BCME9) 2018

AU - Rowland, Tim

AU - Ineson, Gwen

AU - Alderton, Julie

AU - Donaldson, Gina

AU - Voutsina, Chronoula

AU - Wilson, Kirsty

PY - 2018/4/3

Y1 - 2018/4/3

N2 - 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.

AB - 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.

M3 - Conference contribution

T3 - BCME Conference Proceedings

SP - 159

EP - 166

BT - Research Proceedings of the 9th British Congress on Mathematics Education

A2 - Golding, Jennie

A2 - Bretscher, Nicola

A2 - Crisan, Cosette

A2 - Geraniou, Eirini

A2 - Hodgen, Jeremy

A2 - Morgan, Candia

PB - British Society for Research into Learning Mathematics

Y2 - 3 April 2018 through 6 April 2018

ER -