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- W2735743559 abstract "ABSTRACTThis mixed methods study investigated undergraduate elementary grades pre-service teachers’ (PSTs) mathematical reasoning. In the context of combinatorics, we examined two aspects of mathematical reasoning, namely, the processes of enumerating and generalizing, and sought to understand the relationship between them through analyses of 150 PSTs’ solutions to a set of combinatorics tasks. A subset of eight PSTs participated in follow-up interviews to further understand these aspects of reasoning when completing similar tasks. Findings suggest that the processes of reflecting and recalling prior knowledge mediated the relation between these two processes of PSTs’ reasoning. An analysis of PSTs’ written work suggested that many did not draw on their process of enumeration to generalize. Subsequent opportunities for reflection during interviews allowed PSTs to refine their enumeration process. For some, recalling prior knowledge assisted them in connecting their observations with an underlying mathemat..." @default.
- W2735743559 created "2017-07-21" @default.
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- W2735743559 date "2016-12-09" @default.
- W2735743559 modified "2023-09-23" @default.
- W2735743559 title "Examining aspects of elementary grades pre-service teachers’ mathematical reasoning" @default.
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- W2735743559 doi "https://doi.org/10.1080/19477503.2016.1258857" @default.
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