Please use this identifier to cite or link to this item: http://hdl.handle.net/10497/19015
Title: Specialising and conjecturing in mathematical investigation
Authors: Yeo, Joseph B. W.
Issue Date: Jul-2017
Citation: Yeo, J. B. W. (2017). Specialising and conjecturing in mathematical investigation. In B. Kaur, W. K. Ho, T. L. Toh, & B. H. Choy (Eds.), Proceedings of the 41st Conference of the International Group for the Psychology of Mathematics Education: Vol. 4 (pp. 337-344). Singapore: PME.
Abstract: This paper introduces a new framework to model the interactions of the processes of specialising and conjecturing when students engage in mathematical investigation. The framework posits that there is usually a cyclic pathway alternating between examining specific examples (specialising) and searching for pattern (conjecturing), instead of a linear pathway as in many other theoretical models. The framework also distinguishes between observing a pattern and formulating it as a conjecture, unlike most models that treat an observed pattern as a conjecture to be proven or refuted. I will then use the framework to analyse and explicate a secondary school student's specialising and conjecturing processes while he attempted an open investigative task.
Description: This paper was published in the 2017 proceedings of the 41st Conference of the International Group for the Psychology of Mathematics Education held at Singapore from 17 - 22 July 2017
URI: http://hdl.handle.net/10497/19015
ISBN: 978-981-11-3742-6
Appears in Collections:Conference Papers

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