CHARACTERISTICS OF THE THREE WORLDS OF MATHEMATICS THAT EMERGE IN SOLVING QUESTIONS INVOLVING THE CONCEPT OF LIMIT

Detalhes bibliográficos
Autor(a) principal: Oliveira Soares , Gabriel de
Data de Publicação: 2019
Tipo de documento: Artigo
Idioma: por
Título da fonte: Revista Prática Docente
Texto Completo: https://periodicos.cfs.ifmt.edu.br/periodicos/index.php/rpd/article/view/548
Resumo: The concept of limit of a function is conceived with one of the main, and also one of the most complex in the work with the disciplines of Differential and Integral Calculus (CDI), being the basis for learning the concept of derivative, for example. In this sense, in order to understand how students who have already studied a CDI discipline understand this concept, this study aims to analyze the characteristics of the Three Worlds of Mathematics proposed by Tall (2004; 2013) that students of two Mathematics Degree courses mobilize when solving questions involving the concept of limit. For that, a test with seven questions was proposed to the fourteen students of two courses of Mathematics Degree of the state of Rio Grande do Sul, of which, three are analyzed in this text, in view of the proposed theoretical framework. It can be concluded that most of the students present weak conceptual images in relation to this concept, being their learning based mainly on the characteristics of Conceptual Embodied World.
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spelling CHARACTERISTICS OF THE THREE WORLDS OF MATHEMATICS THAT EMERGE IN SOLVING QUESTIONS INVOLVING THE CONCEPT OF LIMITCARACTERÍSTICAS DOS TRÊS MUNDOS DA MATEMÁTICA QUE EMERGEM NA RESOLUÇÃO DE QUESTÕES ENVOLVENDO O CONCEITO DE LIMITEEducação Matemática no Ensino SuperiorTrês Mundos da MatemáticaLimite de uma funçãoMathematics Education in Higher EducationLimit of a functionThree Worlds of MathematicsThe concept of limit of a function is conceived with one of the main, and also one of the most complex in the work with the disciplines of Differential and Integral Calculus (CDI), being the basis for learning the concept of derivative, for example. In this sense, in order to understand how students who have already studied a CDI discipline understand this concept, this study aims to analyze the characteristics of the Three Worlds of Mathematics proposed by Tall (2004; 2013) that students of two Mathematics Degree courses mobilize when solving questions involving the concept of limit. For that, a test with seven questions was proposed to the fourteen students of two courses of Mathematics Degree of the state of Rio Grande do Sul, of which, three are analyzed in this text, in view of the proposed theoretical framework. It can be concluded that most of the students present weak conceptual images in relation to this concept, being their learning based mainly on the characteristics of Conceptual Embodied World.O conceito de limite de uma função é concebido com um dos principais e mais complexos no trabalho com as disciplinas de Cálculo Diferencial e Integral (CDI), sendo base para a aprendizagem do conceito de derivada, por exemplo. Nesse sentido, buscando compreender como alunos que já cursaram uma disciplina de CDI compreendem esse conceito, esse estudo objetiva analisar características dos Três Mundos da Matemática propostos por Tall (2004; 2013) que estudantes de dois cursos de Licenciatura em Matemática mobilizam ao resolverem questões envolvendo o conceito de limite. Para tal, foi proposto um teste com sete questões à catorze estudantes de dois cursos de Licenciatura em Matemática do estado do Rio Grande do Sul, das quais, três são analisadas nesse texto, com vistas ao quadro teórico proposto. Pode-se concluir que a maioria dos estudantes apresenta imagens conceituais fracas em relação a esse conceito, estando suas aprendizagens baseadas principalmente em características do Mundo Conceitual Corporificado.Revista Prática Docente2019-07-15info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionMathematicsMatemáticasMatemáticaapplication/pdfhttps://periodicos.cfs.ifmt.edu.br/periodicos/index.php/rpd/article/view/54810.23926/RPD.2526-2149.2019.v4.n1.p80-95.id370Revista Prática Docente (Journal Practice Teacher); Vol. 4 No. 1 (2019): Janeiro a Junho de 2019; 80-95Revista Prática Docente (Revista Práctica Docente); Vol. 4 Núm. 1 (2019): Janeiro a Junho de 2019; 80-95Revista Prática Docente; v. 4 n. 1 (2019): Janeiro a Junho de 2019; 80-952526-2149reponame:Revista Prática Docenteinstname:Instituto Federal de Educação, Ciência e Tecnologia de Mato Grosso (IFMT)instacron:IFMTporhttps://periodicos.cfs.ifmt.edu.br/periodicos/index.php/rpd/article/view/548/538Copyright (c) 2023 A Revista Prática Docente tem o direito de primeira publicaçãohttps://creativecommons.org/licenses/by-nc/4.0info:eu-repo/semantics/openAccessOliveira Soares , Gabriel de2023-06-08T00:54:36Zoai:ojs2.periodicos.cfs.ifmt.edu.br:article/548Revistahttp://periodicos.cfs.ifmt.edu.br/periodicos/index.php/rpdPUBhttps://periodicos.cfs.ifmt.edu.br/periodicos/index.php/rpd/oairevistapraticadocente@cfs.ifmt.edu.br||2526-21492526-2149opendoar:2023-06-08T00:54:36Revista Prática Docente - Instituto Federal de Educação, Ciência e Tecnologia de Mato Grosso (IFMT)false
dc.title.none.fl_str_mv CHARACTERISTICS OF THE THREE WORLDS OF MATHEMATICS THAT EMERGE IN SOLVING QUESTIONS INVOLVING THE CONCEPT OF LIMIT
CARACTERÍSTICAS DOS TRÊS MUNDOS DA MATEMÁTICA QUE EMERGEM NA RESOLUÇÃO DE QUESTÕES ENVOLVENDO O CONCEITO DE LIMITE
title CHARACTERISTICS OF THE THREE WORLDS OF MATHEMATICS THAT EMERGE IN SOLVING QUESTIONS INVOLVING THE CONCEPT OF LIMIT
spellingShingle CHARACTERISTICS OF THE THREE WORLDS OF MATHEMATICS THAT EMERGE IN SOLVING QUESTIONS INVOLVING THE CONCEPT OF LIMIT
Oliveira Soares , Gabriel de
Educação Matemática no Ensino Superior
Três Mundos da Matemática
Limite de uma função
Mathematics Education in Higher Education
Limit of a function
Three Worlds of Mathematics
title_short CHARACTERISTICS OF THE THREE WORLDS OF MATHEMATICS THAT EMERGE IN SOLVING QUESTIONS INVOLVING THE CONCEPT OF LIMIT
title_full CHARACTERISTICS OF THE THREE WORLDS OF MATHEMATICS THAT EMERGE IN SOLVING QUESTIONS INVOLVING THE CONCEPT OF LIMIT
title_fullStr CHARACTERISTICS OF THE THREE WORLDS OF MATHEMATICS THAT EMERGE IN SOLVING QUESTIONS INVOLVING THE CONCEPT OF LIMIT
title_full_unstemmed CHARACTERISTICS OF THE THREE WORLDS OF MATHEMATICS THAT EMERGE IN SOLVING QUESTIONS INVOLVING THE CONCEPT OF LIMIT
title_sort CHARACTERISTICS OF THE THREE WORLDS OF MATHEMATICS THAT EMERGE IN SOLVING QUESTIONS INVOLVING THE CONCEPT OF LIMIT
author Oliveira Soares , Gabriel de
author_facet Oliveira Soares , Gabriel de
author_role author
dc.contributor.author.fl_str_mv Oliveira Soares , Gabriel de
dc.subject.por.fl_str_mv Educação Matemática no Ensino Superior
Três Mundos da Matemática
Limite de uma função
Mathematics Education in Higher Education
Limit of a function
Three Worlds of Mathematics
topic Educação Matemática no Ensino Superior
Três Mundos da Matemática
Limite de uma função
Mathematics Education in Higher Education
Limit of a function
Three Worlds of Mathematics
description The concept of limit of a function is conceived with one of the main, and also one of the most complex in the work with the disciplines of Differential and Integral Calculus (CDI), being the basis for learning the concept of derivative, for example. In this sense, in order to understand how students who have already studied a CDI discipline understand this concept, this study aims to analyze the characteristics of the Three Worlds of Mathematics proposed by Tall (2004; 2013) that students of two Mathematics Degree courses mobilize when solving questions involving the concept of limit. For that, a test with seven questions was proposed to the fourteen students of two courses of Mathematics Degree of the state of Rio Grande do Sul, of which, three are analyzed in this text, in view of the proposed theoretical framework. It can be concluded that most of the students present weak conceptual images in relation to this concept, being their learning based mainly on the characteristics of Conceptual Embodied World.
publishDate 2019
dc.date.none.fl_str_mv 2019-07-15
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Mathematics
Matemáticas
Matemática
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.cfs.ifmt.edu.br/periodicos/index.php/rpd/article/view/548
10.23926/RPD.2526-2149.2019.v4.n1.p80-95.id370
url https://periodicos.cfs.ifmt.edu.br/periodicos/index.php/rpd/article/view/548
identifier_str_mv 10.23926/RPD.2526-2149.2019.v4.n1.p80-95.id370
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.cfs.ifmt.edu.br/periodicos/index.php/rpd/article/view/548/538
dc.rights.driver.fl_str_mv Copyright (c) 2023 A Revista Prática Docente tem o direito de primeira publicação
https://creativecommons.org/licenses/by-nc/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2023 A Revista Prática Docente tem o direito de primeira publicação
https://creativecommons.org/licenses/by-nc/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Revista Prática Docente
publisher.none.fl_str_mv Revista Prática Docente
dc.source.none.fl_str_mv Revista Prática Docente (Journal Practice Teacher); Vol. 4 No. 1 (2019): Janeiro a Junho de 2019; 80-95
Revista Prática Docente (Revista Práctica Docente); Vol. 4 Núm. 1 (2019): Janeiro a Junho de 2019; 80-95
Revista Prática Docente; v. 4 n. 1 (2019): Janeiro a Junho de 2019; 80-95
2526-2149
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instname:Instituto Federal de Educação, Ciência e Tecnologia de Mato Grosso (IFMT)
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