Thematization of derivative schema in university students: nuances in constructing relations between a function's successive derivatives

Claudio Fuentealba, Gloria Sánchez-Matamoros, Edelmira Badillo, María Trigueros

Research output: Contribution to journalArticleResearchpeer-review

8 Citations (Scopus)

Abstract

© 2016 Informa UK Limited, trading as Taylor & Francis Group. This study is part of a more extensive research project that addresses the understanding of the derivative concept in university students with prior instruction in differential calculus. In particular, we focus on the analysis of students’ responses to a sequence of tasks that require a high level of understanding of the concept, and complement this information with clinical interviews. APOS (Action-Process-Object-Schema) theory and the configuration of the derivative concept that is characterized by: mathematical elements, logical relations and the representation modes that students use to solve a task were used in the analysis of students’ responses. The results obtained suggest that thematizing the derivative schema is difficult to achieve. In addition, nuances were observed in responses given by those students who succeeded, indicating differences in the construction of relations between the successive derivatives of a function.
Original languageEnglish
Pages (from-to)374-392
JournalInternational Journal of Mathematical Education in Science and Technology
Volume48
Issue number3
DOIs
Publication statusPublished - 3 Apr 2017

Keywords

  • APOS theory
  • Derivative
  • derivative schema
  • successive derivatives
  • thematization

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