Everyday Examples in Linear Algebra: Individual and Collective Creativity
AffiliationUniv Arizona, Dept Math
MetadataShow full item record
PublisherCLAREMONT CENTER MATHEMATICAL SCIENCES
CitationAdiredja, A. P. and Zandieh, M. "Everyday Examples in Linear Algebra: Individual and Collective Creativity," Journal of Humanistic Mathematics, Volume 10 Issue 2 (July 2020), pages 40-75. DOI: 10.5642/jhummath.202002.05 .
Rights© 2020 by the authors. This work is licensed under a Creative Commons License.
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AbstractThis paper investigates creativity in students' constructions of everyday examples about basis in Linear Algebra. We analyze semi-structured interview data with 18 students from the United States and Germany with diverse academic and social backgrounds. Our analysis of creativity in students' everyday examples is organized into two parts. First, we analyze the range of students' creative products by investigating the mathematical variability in the more commonly mentioned examples. Second, we unpack some of the collective processes in the construction of students' examples. We examine how creativity was distributed through the interactions among the student, the interviewers, and other artifacts and ideas. Thus, in addition to contributing to the process vs. product discussion of creativity, our work also adds to the few existing studies that focus on collective mathematical creativity. The paper closes with connections to anti-deficit perspectives in mathematics education and some recommendations for individual and collective creativity in the classroom.
NoteOpen access journal
VersionFinal published version
Except where otherwise noted, this item's license is described as © 2020 by the authors. This work is licensed under a Creative Commons License.