Pre service primary teachers’ approaches to mathematical generalisation

Journal article


Alderton, J., Donaldson, G., Ineson, G., Rowland, T., Voutsina, C. and Wilson, K. 2017. Pre service primary teachers’ approaches to mathematical generalisation. Proceedings of the British Society for Research into Learning Mathematics. 37 (3), pp. 1-6.
AuthorsAlderton, J., Donaldson, G., Ineson, G., Rowland, T., Voutsina, C. and Wilson, K.
Abstract

In our teaching with primary pre-service teachers (PSTs), each of us includes generalising tasks in the context of mathematical reasoning. We set out to explore the value of such activity from the perspective of PSTs and their approaches to generalisation. In this paper, we focus on one PST’s mathematical reasoning when working on the ‘flower beds’ problem. We analyse the ways in which this PST attends to: looking for a relationship; seeing structure within a single figure in a sequence; and seeing sameness and difference between figures in a sequence. We consider what motivates shifts in attention, we reflect on the significance of students’ prior experience, and of student collaboration in our teaching sessions.

KeywordsPrimary teacher training; Generalisation; Reasoning; Mathematics; Teaching mathematics
Year2017
JournalProceedings of the British Society for Research into Learning Mathematics
Journal citation37 (3), pp. 1-6
PublisherBritish Society for Research into Learning Mathematics
Official URLhttp://www.bsrlm.org.uk/wp-content/uploads/2017/12/BSRLM-CP-37-3-01.pdf
Related URLhttps://bsrlm.org.uk/publications/proceedings-of-day-conference/ip37-3/
Publication dates
Print03 Nov 2017
Publication process dates
Deposited03 Feb 2021
Accepted author manuscript
File Access Level
Open
Output statusPublished
Permalink -

https://repository.canterbury.ac.uk/item/8x0q9/pre-service-primary-teachers-approaches-to-mathematical-generalisation

Download files


Accepted author manuscript
BSRLM-CP-37-3-01.pdf
File access level: Open

  • 1
    total views
  • 0
    total downloads
  • 0
    views this month
  • 0
    downloads this month

Export as

Related outputs

Mentoring for mathematics
King, H., Donaldson, G. and Tomlinson, S. 2021. Mentoring for mathematics. in: Howells, K., Lawrence, J. and Roden, J. (ed.) Mentoring teachers in the primary school Falmer/Routledge.
The teaching and learning of primary mathematics
Donaldson, G. 2021. The teaching and learning of primary mathematics. in: Bower, V. (ed.) Debates in primary education Falmer/Routledge. pp. 218 - 230
Preservice teachers’ expressed awarenesses: emerging threads of retro-spection of learning and pro-spection of teaching.
Voutsina, C., Alderton, J., Wilson, K., Ineson, G., Donaldson, G. and Rowland, T. 2021. Preservice teachers’ expressed awarenesses: emerging threads of retro-spection of learning and pro-spection of teaching. The Journal of Mathematics Teacher Education . https://doi.org/10.1007/s10857-020-09484-y
Becoming a primary mathematics specialist teacher
Donaldson, G., Field, J., Harris, D., Taylor, H. and Tope, C. 2012. Becoming a primary mathematics specialist teacher. Abingdon Routledge.