Fiche du document
10 juillet 2023
- handle: 10670/1.vd4syp
- isbn: 978-963-7031-04-5
- hal: hal-04406015
info:eu-repo/semantics/OpenAccess
Sujets proches
School life Students--Education Pupils Student life and customs Scientific research Science research Science--Research Mechanical perspective Linear perspective Architectural perspective Complex multiplication Math Complex variables Several complex variables, Functions of Complex variables Methods of analysis Analysis and chemistry Analytical methods Chemical analysis Analysis methods Analysis and examinationCiter ce document
Rebecca Dibbs et al., « Investigating students’ worldviews of complex multiplication and derivatives », HAL-SHS : sciences de l'éducation, ID : 10670/1.vd4syp
Métriques
Partage / Export
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.