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Investigating the processes of mathematical investigation
Citation
Paper presented at the 3rd Redesigning Pedagogy International Conference, Singapore, 1 - 3 June 2009
Abstract
This paper describes a research study on how and what secondary school students investigate when faced with an open investigative task involving an interesting game that combines magic square and tic-tac-toe. It will examine the strategies that the students use and the mathematical thinking processes that they engage in when doing their investigation. The findings will be used to inform a theoretical model that we have devised to study the cognitive processes of open mathematical investigation, which include understanding the task, posing problems to investigate, specialising, formulating and testing conjectures, generalising, looking back and extending the task.
Date Issued
June 2009