Identification and characterization of the development sub-levels of the derivative schema

The results of the research related to the learning process of the derivative notion show that its understanding is very complex and that only a significant number of students acquire a partial comprehension of the concept. In this context, this research presents an exploratory/confirmatory analysis...

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Main Authors: Claudio Fuentealba, Edelmira Badillo, Gloria Sánchez-Matamoros
Format: Article
Language:Spanish
Published: Universitat Autònoma de Barcelona 2019-02-01
Series:Enseñanza de las Ciencias
Subjects:
Online Access:https://ensciencias.uab.es/article/view/2518
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author Claudio Fuentealba
Edelmira Badillo
Gloria Sánchez-Matamoros
author_facet Claudio Fuentealba
Edelmira Badillo
Gloria Sánchez-Matamoros
author_sort Claudio Fuentealba
collection DOAJ
description The results of the research related to the learning process of the derivative notion show that its understanding is very complex and that only a significant number of students acquire a partial comprehension of the concept. In this context, this research presents an exploratory/confirmatory analysis in which we identify and characterize, through mixed analysis methods, the different sub-levels of development of the derivative schema that university students previously instructed in Differential Calculus managed to reach. The results show how useful these methods are in this study, since they made it possible to identify the 9 sub-levels of development and to characterize 5 of them according to the dominant variables and their associated mathematical elements.
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spelling doaj.art-bcba2167426d4aa5be23ae89f2840b662023-08-02T03:13:18ZspaUniversitat Autònoma de BarcelonaEnseñanza de las Ciencias0212-45212174-64862019-02-01372638410.5565/rev/ensciencias.2518612Identification and characterization of the development sub-levels of the derivative schemaClaudio Fuentealba0Edelmira Badillo1Gloria Sánchez-Matamoros2Universidad Austral de ChileUniversitat Autònoma de BarcelonaUniversidad de SevillaThe results of the research related to the learning process of the derivative notion show that its understanding is very complex and that only a significant number of students acquire a partial comprehension of the concept. In this context, this research presents an exploratory/confirmatory analysis in which we identify and characterize, through mixed analysis methods, the different sub-levels of development of the derivative schema that university students previously instructed in Differential Calculus managed to reach. The results show how useful these methods are in this study, since they made it possible to identify the 9 sub-levels of development and to characterize 5 of them according to the dominant variables and their associated mathematical elements.https://ensciencias.uab.es/article/view/2518esquema de derivadasubnivel de desarrolloanálisis de clusteranálisis implicativoteoría apoe
spellingShingle Claudio Fuentealba
Edelmira Badillo
Gloria Sánchez-Matamoros
Identification and characterization of the development sub-levels of the derivative schema
Enseñanza de las Ciencias
esquema de derivada
subnivel de desarrollo
análisis de cluster
análisis implicativo
teoría apoe
title Identification and characterization of the development sub-levels of the derivative schema
title_full Identification and characterization of the development sub-levels of the derivative schema
title_fullStr Identification and characterization of the development sub-levels of the derivative schema
title_full_unstemmed Identification and characterization of the development sub-levels of the derivative schema
title_short Identification and characterization of the development sub-levels of the derivative schema
title_sort identification and characterization of the development sub levels of the derivative schema
topic esquema de derivada
subnivel de desarrollo
análisis de cluster
análisis implicativo
teoría apoe
url https://ensciencias.uab.es/article/view/2518
work_keys_str_mv AT claudiofuentealba identificationandcharacterizationofthedevelopmentsublevelsofthederivativeschema
AT edelmirabadillo identificationandcharacterizationofthedevelopmentsublevelsofthederivativeschema
AT gloriasanchezmatamoros identificationandcharacterizationofthedevelopmentsublevelsofthederivativeschema