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Teacher and student choices of generalising strategies: A tale of two views?
Pattern generalisation
teachers' pedagogical content knowledge
student generalising strategy
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Paper presented at the 5th East Asia Regional Conference on Mathematics Education, Tokyo, 18-22 August 2010
This paper reports a study whose aim was to examine teacher and student choices of generalising strategy to determine what teachers would prioritise and what students would judge as the most helpful strategy for expressing generality. Data were collected through the administration of a worksheet and a questionnaire to 16 secondary school mathematics teachers and 47 Secondary One students. The worksheet task concerned finding the functional rule underpinning a linear pattern. The questionnaire involved selecting and justifying the strategy that would best help students to establish the rule. The data were analysed to distinguish the kinds of views the teachers and students held about the various generalising strategies. The findings revealed differences in the judgements of teachers and students regarding the best-help generalising strategy.
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