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Exploring the generalisation strategies children apply to visual spatial patterns. (English)
Adams, G. (ed.), Proceedings of the British Society for Research into Learning Mathematics (BSRLM). Vol. 34, No. 2. Proceedings of the day conference, University of Southampton, UK, June 14, 2014. London: British Society for Research into Learning Mathematics (BSRLM). 73-78 (2014).
Summary: The purpose of my research is to explore to what extent children in Irish primary schools are developing skills in algebraic reasoning. Generalisation has been identified as a highly significant component of algebraic reasoning. Patterning plays a key role in supporting children’s developing skills in generalisation and internationally visual spatial patterns tasks have been utilised in many research projects to investigate children’s success in generalising. In this paper I discuss preliminary findings of research into the algebraic reasoning of children in Irish primary schools, focusing on generalisation strategies in response to visual spatial patterns. The research instrument I am using is the clinical interview. In assessing children’s ability to generalise, I am interested in exploring the reasons behind responses they proffer and the clinical interview is a research instrument which offers this facility. Through the method of clinical interviewing I investigate the participants’ responses to the patterns and ask them to consider near and far generalisations of the patterns. In this way I aim to develop “an interpretation or a series of interpretations" that may provide a new perspective on Irish children’s algebraic reasoning and in particular their thinking about generalisation.
Classification: H20 C30
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