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Communication Dans Un Congrès Année : 2023

Investigating students’ worldviews of complex multiplication and derivatives

Rebecca Dibbs
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Résumé

While there has been extensive research on introductory and proof-based undergraduate courses, complex analysis has been relatively understudied. Most of the research on complex variables has focused on specific interventions to teach particular concepts in complex arithmetic and derivatives or mathematicians’ reasoning about complex variables. The purpose of this case study was to investigate how students in a complex analysis course interpret multiplication and its relationship to the complex derivative and the amplitwist concept using Tall’s three worlds of mathematics. Overall, participants were able to describe multiplication from a proceptual and embodied perspective, but struggled to conceptualize the complex derivative from an embodied perspective.
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Dates et versions

hal-04406015 , version 1 (19-01-2024)

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  • HAL Id : hal-04406015 , version 1

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Rebecca Dibbs, Mehmet Celik. Investigating students’ worldviews of complex multiplication and derivatives. Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), Alfréd Rényi Institute of Mathematics; Eötvös Loránd University of Budapest, Jul 2023, Budapest, Hungary. ⟨hal-04406015⟩

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