Emerging perspectives in mathematical cognition: Contextualizing, complementizing, and complexifying

Journal article

Scheiner, Thorsten and Pinto, Marcia M. F.. (2019). Emerging perspectives in mathematical cognition: Contextualizing, complementizing, and complexifying. Educational Studies in Mathematics: An international journal. 101(3), pp. 357 - 372. https://doi.org/10.1007/s10649-019-9879-y
AuthorsScheiner, Thorsten and Pinto, Marcia M. F.
Abstract

This article describes emerging perspectives on contextualizing, complementizing, and complexifying—three processes involved when individuals ascribe meaning to mathematical objects of their thinking. The article is oriented toward a dialectic between theory and empirical research and is structured in two parts. The first part focuses on an evolving theoretical framing that acknowledges the significance of these three processes in mathematical cognition. In the second part, the evolving theoretical framing is used to analyze one student’s knowing of the limit concept of a sequence. This analysis directs one’s attention to the emergence and function of this student’s knowledge resource, which was generic in usage and complex in structure, allowing the activation of productive ideas and contextual meaning-making as needed. Through this analysis, theoretical and interpretative possibilities were generated that inform research on mathematical cognition and elucidate the emerging theoretical perspectives of contextualizing, complementizing, and complexifying.

KeywordsMathematical cognition; Meaning-making; Theory advancement; Givingmeaning; Limit concept
Year2019
JournalEducational Studies in Mathematics: An international journal
Journal citation101 (3), pp. 357 - 372
PublisherSpringer Netherlands
ISSN0013-1954
Digital Object Identifier (DOI)https://doi.org/10.1007/s10649-019-9879-y
Scopus EID2-s2.0-85068085419
Page range357 - 372
Research GroupInstitute for Learning Sciences and Teacher Education (ILSTE)
Publisher's version
File Access Level
Controlled
Place of publicationNetherlands
EditorsA. Bakker
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