Scopus: 2 citations, Google Scholar: citations
The understanding of the derivative concept in higher education
Fuentealba, Claudio (Universidad Austral de Chile)
Badillo Jiménez, Edelmira Rosa (Universitat Autònoma de Barcelona. Departament de Didàctica de la Matemàtica i de les Ciències Experimentals)
Sánchez-Matamoros, Gloria (Universidad de Sevilla. Departamento de Didáctica de la Matemática)
Cárcamo Bahamonde, Andrea (Universidad Austral de Chile)

Date: 2019
Abstract: The aim of this work was to identify and characterize the levels of development of derivative schema. In order to do so, a questionnaire to 103 university students with previous instruction in Differential Calculus was applied. The questionnaire was composed of three tasks. For the identification of the levels of development of schema and their subsequent characterization, we consider the framework proposed by the APOS theory. In particular, this framework was operationalized through the establishment of 27 variables that allowed for the breakdown of the resolution protocols from the questionnaire into discrete elements. In this way, we obtained a vector associated with each of these variables. The identification of students assigned to each level of development of schema was carried out by a cluster analysis. Subsequently, we performed a statistical analysis of frequencies and implicative, with the 27 variables, which allowed to characterize the levels of development identified.
Note: Número d'acord de subvenció AGAUR/2017/101
Note: Número d'acord de subvenció MINECO/EDU2014-54526-R
Note: Número d'acord de subvenció MINECO/EDU2015-65378-P
Note: Número d'acord de subvenció MINECO/EDU2016-81994-REDT
Note: Número d'acord de subvenció MINECO/EDU2017-87411-R
Rights: Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original. Creative Commons
Language: Anglès
Document: article ; recerca ; publishedVersion
Subject: Derivative schema ; Levels of development ; Cluster analysis ; Implicative analysis ; Calculus
Published in: EURASIA Journal of Mathematics Science and Technology Education, Vol. 15, núm. 2 (2019) , p. 1-15, ISSN 1305-8215

DOI: 10.29333/ejmste/100640


15 p, 1.5 MB

The record appears in these collections:
Articles > Research articles
Articles > Published articles

 Record created 2020-05-29, last modified 2020-08-01



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