Solving Exponential Situations and Conceptualization

Students have difficulty to use different representational systems. We use the Theory of Conceptual Fields in order to describe and analyze students’ responses to situations in various representational system: numerical, first order algebraic, graphic and verbal written. We conducted the study with...

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Detalhes bibliográficos
Autores: Sureda Figueroa, Diana Patricia, Otero, Maria Rita
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/58108
Acesso em linha:http://hdl.handle.net/11336/58108
Access Level:acceso abierto
Palavra-chave:Schemes
Representational Systems
Education
Secondary School
https://purl.org/becyt/ford/5.3
https://purl.org/becyt/ford/5
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spelling Solving Exponential Situations and ConceptualizationResolução de Situações Exponenciasi e ConceituaçãoSureda Figueroa, Diana PatriciaOtero, Maria RitaSchemesRepresentational SystemsEducationSecondary Schoolhttps://purl.org/becyt/ford/5.3https://purl.org/becyt/ford/5Students have difficulty to use different representational systems. We use the Theory of Conceptual Fields in order to describe and analyze students’ responses to situations in various representational system: numerical, first order algebraic, graphic and verbal written. We conducted the study with 59 students (aged between 15-16 years old) of secondary school. From the analysis we show that students do not "translate" the results of a representational system to another. They can solve exponentially in a representational system (RS) but in a different exponential RS they solve it in a non-exponential way. This indicates that students construct operational invariants for each representational system. That is to say, they build and use different schemes for each one of them.Os alunos tem dificuldades para utilizar diferentes sistemas de representação. Utilizamos a Teoría dos Campos Conceituais para descrever e analizar as respostas dos alunos em diversas situações, nos sistemas de representação numérico, algébrico de primeira ordem, gráfico e verbal escrito. Realizamos o estudo com 59 alunos (de 15-16 anos) do colégio do ensino medio. A partir da análise verificamos que os alunos não “traduzem” os resultados de um sistema de representação para outro. Eles podem resolver exponencialmente em um sistema de representação (SR) mas em forma não exponencial em um SR diferente. Isto indica que os alunos constroem invariantes operatorios para cada sistema de representação. Quer dizer, constroem e utilizam esquemas diferentes em cada um deles.Fil: Sureda Figueroa, Diana Patricia. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo de Investigación en Educacion Ciencia y Tecnologia; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Otero, Maria Rita. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo de Investigación en Educacion Ciencia y Tecnologia; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaPontifícia Universidade Católica de São Paulo2015-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/58108Sureda Figueroa, Diana Patricia; Otero, Maria Rita; Solving Exponential Situations and Conceptualization ; Pontifícia Universidade Católica de São Paulo; Educação Matemática Pesquisa; 17; 2; 9-2015; 5-281983-3156CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://revistas.pucsp.br/index.php/emp/article/view/19322info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T14:25:24Zoai:ri.conicet.gov.ar:11336/58108instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982024-05-08 14:25:24.34CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Solving Exponential Situations and Conceptualization
Resolução de Situações Exponenciasi e Conceituação
title Solving Exponential Situations and Conceptualization
spellingShingle Solving Exponential Situations and Conceptualization
Sureda Figueroa, Diana Patricia
Schemes
Representational Systems
Education
Secondary School
https://purl.org/becyt/ford/5.3
https://purl.org/becyt/ford/5
title_short Solving Exponential Situations and Conceptualization
title_full Solving Exponential Situations and Conceptualization
title_fullStr Solving Exponential Situations and Conceptualization
title_full_unstemmed Solving Exponential Situations and Conceptualization
title_sort Solving Exponential Situations and Conceptualization
dc.creator.none.fl_str_mv Sureda Figueroa, Diana Patricia
Otero, Maria Rita
author Sureda Figueroa, Diana Patricia
author_facet Sureda Figueroa, Diana Patricia
Otero, Maria Rita
author_role author
author2 Otero, Maria Rita
author2_role author
dc.subject.none.fl_str_mv Schemes
Representational Systems
Education
Secondary School
https://purl.org/becyt/ford/5.3
https://purl.org/becyt/ford/5
topic Schemes
Representational Systems
Education
Secondary School
https://purl.org/becyt/ford/5.3
https://purl.org/becyt/ford/5
description Students have difficulty to use different representational systems. We use the Theory of Conceptual Fields in order to describe and analyze students’ responses to situations in various representational system: numerical, first order algebraic, graphic and verbal written. We conducted the study with 59 students (aged between 15-16 years old) of secondary school. From the analysis we show that students do not "translate" the results of a representational system to another. They can solve exponentially in a representational system (RS) but in a different exponential RS they solve it in a non-exponential way. This indicates that students construct operational invariants for each representational system. That is to say, they build and use different schemes for each one of them.
publishDate 2015
dc.date.none.fl_str_mv 2015-09
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/58108
Sureda Figueroa, Diana Patricia; Otero, Maria Rita; Solving Exponential Situations and Conceptualization ; Pontifícia Universidade Católica de São Paulo; Educação Matemática Pesquisa; 17; 2; 9-2015; 5-28
1983-3156
CONICET Digital
CONICET
url http://hdl.handle.net/11336/58108
identifier_str_mv Sureda Figueroa, Diana Patricia; Otero, Maria Rita; Solving Exponential Situations and Conceptualization ; Pontifícia Universidade Católica de São Paulo; Educação Matemática Pesquisa; 17; 2; 9-2015; 5-28
1983-3156
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://revistas.pucsp.br/index.php/emp/article/view/19322
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Pontifícia Universidade Católica de São Paulo
publisher.none.fl_str_mv Pontifícia Universidade Católica de São Paulo
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1799196377681494016
score 15,228081

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