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Title: Empirical Re-Conceptualization as a Bridge to Insight
Identifying patterns is an important part of mathematical investigation, but many students struggle to justify their pattern-based generalizations. These findings have led some to argue for a de-emphasis on patterning, but others argue that it can support insight into a problem’s structure. We introduce a phenomenon, empirical re-conceptualization, in which learners generalize based on an empirical pattern, and then re-interpret it from a structural perspective. We elaborate this construct by providing a representative example of empirical reconceptualization from two secondary students. Our findings indicate that developing empirical results can foster subsequent insights, which can in turn lead to justification and proof.  more » « less
Award ID(s):
1920538
PAR ID:
10192431
Author(s) / Creator(s):
Date Published:
Journal Name:
The Interdisciplinarity of the Learning Sciences, 14th International Conference of the Learning Sciences (ICLS)
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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