Argumentação de estudantes da EJA - Ensino Médio no processo de aprendizagem de matemática

Detalhes bibliográficos
Autor(a) principal: Sá, Eloar Barreto Feitoza
Data de Publicação: 2021
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFS
Texto Completo: https://ri.ufs.br/jspui/handle/riufs/14319
Resumo: In this study, we focus the argument in mathematics. The ability to argue tends to be associated with the development of criticality, since it can favor reflective thinking, the production of knowledge and, therefore, the learning process (LEITÃO, 2011). Considering it as the expression of reasoning, it has a relevant relationship with mathematical skills to be developed in the school environment. In Mathematics Education, „reasoning‟, „representing‟, „arguing‟ and „communicating‟ are linked to competencies and skills considered fundamental to student learning and development, as evidenced by the Common National Curricular Base (Base Nacional Curricular Comum-BNCC). These capacities are articulated through the production of justifications, by students, for results achieved during the resolution of certain problems (BRASIL, 2017). In this context, our aim with the present study is to examine aspects of arguments issued by students of the Youth and Adult Education - High School (Educação de Jovens e Adultos - Ensino Médio - EJAEM) teaching method in answers that contain mathematical questions. It is a research with a qualitative approach, whose nature corresponds to a case study. Its realization occurred in four moments. In the first, we made observations of some of the remote classes of the Mathematics teacher from six school classes at the level of education of the study focus. Before that, we interviewed the referred teachers in search of information about their teaching trajectory, their lesson plans, the teaching of the discipline and their knowledge of argumentation. In a second step, we collected data for the characterization of the students participating, as well as their relationship with mathematics, from the application of a questionnaire. The third and fourth moments correspond, respectively, to the individual application of a list of questions involving mathematics in order to enable the issue of arguments and a group discussion to collectively reach solutions to other questions with mathematics. We examined the responses obtained with the individual lists and tried to classify the justifications, whenever possible, based on the types of evidence by Balacheff (1988). For the answers and justifications elaborated by the students collectively, we adopted the Toulmin model (2001) trying to identify the constituent elements of the constructed arguments. As a result, we noticed a weakness in the student's elaboration of arguments on issues involving mathematics, especially when those arguments are produced individually through writing. Thus, a significant number of responses submitted in writing did not have enough information to allow us to classify the types of evidence. In the case of the arguments produced from a communication in pairs, we found the predominance of justifications consisting of a description of the reasoning adopted by one of the components of each pair.
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spelling Sá, Eloar Barreto FeitozaAttie, João Paulo2021-06-08T02:35:33Z2021-06-08T02:35:33Z2021-02-22SÁ, Eloar Barreto Feitoza. Argumentação de estudantes da EJA - Ensino Médio no processo de aprendizagem de matemática. 2021. 182 f. Dissertação (Mestrado em Ensino de Ciências e Matemática) - Universidade Federal de Sergipe, São Cristóvão, SE, 2021.https://ri.ufs.br/jspui/handle/riufs/14319In this study, we focus the argument in mathematics. The ability to argue tends to be associated with the development of criticality, since it can favor reflective thinking, the production of knowledge and, therefore, the learning process (LEITÃO, 2011). Considering it as the expression of reasoning, it has a relevant relationship with mathematical skills to be developed in the school environment. In Mathematics Education, „reasoning‟, „representing‟, „arguing‟ and „communicating‟ are linked to competencies and skills considered fundamental to student learning and development, as evidenced by the Common National Curricular Base (Base Nacional Curricular Comum-BNCC). These capacities are articulated through the production of justifications, by students, for results achieved during the resolution of certain problems (BRASIL, 2017). In this context, our aim with the present study is to examine aspects of arguments issued by students of the Youth and Adult Education - High School (Educação de Jovens e Adultos - Ensino Médio - EJAEM) teaching method in answers that contain mathematical questions. It is a research with a qualitative approach, whose nature corresponds to a case study. Its realization occurred in four moments. In the first, we made observations of some of the remote classes of the Mathematics teacher from six school classes at the level of education of the study focus. Before that, we interviewed the referred teachers in search of information about their teaching trajectory, their lesson plans, the teaching of the discipline and their knowledge of argumentation. In a second step, we collected data for the characterization of the students participating, as well as their relationship with mathematics, from the application of a questionnaire. The third and fourth moments correspond, respectively, to the individual application of a list of questions involving mathematics in order to enable the issue of arguments and a group discussion to collectively reach solutions to other questions with mathematics. We examined the responses obtained with the individual lists and tried to classify the justifications, whenever possible, based on the types of evidence by Balacheff (1988). For the answers and justifications elaborated by the students collectively, we adopted the Toulmin model (2001) trying to identify the constituent elements of the constructed arguments. As a result, we noticed a weakness in the student's elaboration of arguments on issues involving mathematics, especially when those arguments are produced individually through writing. Thus, a significant number of responses submitted in writing did not have enough information to allow us to classify the types of evidence. In the case of the arguments produced from a communication in pairs, we found the predominance of justifications consisting of a description of the reasoning adopted by one of the components of each pair.Neste estudo, abordamos a argumentação em Matemática. A habilidade de argumentar tende a ser associada ao desenvolvimento da criticidade, uma vez que ela pode favorecer o pensamento reflexivo, a produção do conhecimento e, por conseguinte, o processo de aprendizagem (LEITÃO, 2011). Considerando-a como a expressão do raciocínio, ela tem relevante relação com habilidades matemáticas a serem desenvolvidas em ambiente escolar. Na Educação Matemática, „raciocinar‟, „representar‟, „argumentar‟ e „comunicar‟ vinculam-se às competências e habilidades consideradas fundamentais à aprendizagem e ao desenvolvimento do aluno, conforme evidenciado pela Base Nacional Curricular Comum (BNCC). Essas capacidades articulam-se mediante uma produção de justificativas, pelos estudantes, para resultados alcançados durante a resolução de determinados problemas (BRASIL, 2017). Neste contexto, o nosso objetivo com o presente estudo foi examinar aspectos de argumentos emitidos por estudantes da modalidade de ensino Educação de Jovens e Adultos – Ensino Médio (EJAEM) em respostas que apresentam a questões matemáticas. Trata-se de uma pesquisa com abordagem qualitativa, cuja natureza corresponde a um estudo de caso. A sua realização ocorreu em quatro momentos. No primeiro, realizamos observações de algumas das aulas remotas do(a)s professore(a)s de Matemática de seis turmas do nível de ensino, foco do estudo. Antes disso, entrevistamos o(a)s referido(a)s professore(a)s em busca de informações sobre as suas trajetórias docentes, os seus planejamentos de aulas, o ensino da disciplina e os seus conhecimentos sobre argumentação. Num segundo momento, levantamos dados para a caracterização do(a)s aluno(a)s participantes, bem como da relação deste(a)s com a Matemática, a partir da aplicação de um questionário. O terceiro e o quarto momentos correspondem, respectivamente, à aplicação individual de uma lista com questões que envolvem a Matemática de maneira a possibilitar a emissão de argumentos e uma discussão em grupo para alcance coletivo de soluções para outras questões com Matemática. Examinamos as respostas que obtivemos com as listas individuais e procuramos classificar as justificativas, sempre que possível, a partir dos tipos de provas definidos por Balacheff (1988). Para as respostas e justificativas elaboradas coletivamente pelos estudantes, adotamos o modelo de Toulmin (2001) procurando identificar os elementos constituintes dos argumentos construídos. Como resultado, notamos uma fragilidade na elaboração de argumentos pelo(a)s aluno(a)s para as questões que envolvem a Matemática utilizadas, especialmente quando esses argumentos são produzidos de maneira individual através da escrita. Assim, uma quantidade significativa das respostas apresentadas por escrito não tinha informações suficientes que nos permitissem uma classificação dos tipos de provas. No caso dos argumentos produzidos a partir de uma comunicação em duplas, constatamos a predominância de justificativas constituídas pela descrição do raciocínio adotado por um dos componentes de cada dupla.São Cristóvão, SEporEnsino de ciênciasEnsino de matemáticaEducação de jovens e adultos (EJA)RaciocínioArgumentação em matemáticaEstudantes da EJAEstrutura do argumentoArgumentation in mathematicsYouth and adult education studentsArgument structureCIENCIAS HUMANAS::EDUCACAOArgumentação de estudantes da EJA - Ensino Médio no processo de aprendizagem de matemáticainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisPós-Graduação em Ensino de Ciências e MatemáticaUniversidade Federal de Sergipereponame:Repositório Institucional da UFSinstname:Universidade Federal de Sergipe (UFS)instacron:UFSinfo:eu-repo/semantics/openAccessTEXTELOAR_BARRETO_FEITOZA_SA.pdf.txtELOAR_BARRETO_FEITOZA_SA.pdf.txtExtracted texttext/plain383734https://ri.ufs.br/jspui/bitstream/riufs/14319/3/ELOAR_BARRETO_FEITOZA_SA.pdf.txt8a7acf31e7afe8aa0266d6c14b3b8a6bMD53THUMBNAILELOAR_BARRETO_FEITOZA_SA.pdf.jpgELOAR_BARRETO_FEITOZA_SA.pdf.jpgGenerated Thumbnailimage/jpeg1209https://ri.ufs.br/jspui/bitstream/riufs/14319/4/ELOAR_BARRETO_FEITOZA_SA.pdf.jpg2a6daaa8a35b74790b868514cce899cbMD54LICENSElicense.txtlicense.txttext/plain; charset=utf-81475https://ri.ufs.br/jspui/bitstream/riufs/14319/1/license.txt098cbbf65c2c15e1fb2e49c5d306a44cMD51ORIGINALELOAR_BARRETO_FEITOZA_SA.pdfELOAR_BARRETO_FEITOZA_SA.pdfapplication/pdf2448264https://ri.ufs.br/jspui/bitstream/riufs/14319/2/ELOAR_BARRETO_FEITOZA_SA.pdf599c22f7b216d34593f3055f9094d47fMD52riufs/143192021-06-07 23:35:33.538oai:ufs.br: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Repositório InstitucionalPUBhttps://ri.ufs.br/oai/requestrepositorio@academico.ufs.bropendoar:2021-06-08T02:35:33Repositório Institucional da UFS - Universidade Federal de Sergipe (UFS)false
dc.title.pt_BR.fl_str_mv Argumentação de estudantes da EJA - Ensino Médio no processo de aprendizagem de matemática
title Argumentação de estudantes da EJA - Ensino Médio no processo de aprendizagem de matemática
spellingShingle Argumentação de estudantes da EJA - Ensino Médio no processo de aprendizagem de matemática
Sá, Eloar Barreto Feitoza
Ensino de ciências
Ensino de matemática
Educação de jovens e adultos (EJA)
Raciocínio
Argumentação em matemática
Estudantes da EJA
Estrutura do argumento
Argumentation in mathematics
Youth and adult education students
Argument structure
CIENCIAS HUMANAS::EDUCACAO
title_short Argumentação de estudantes da EJA - Ensino Médio no processo de aprendizagem de matemática
title_full Argumentação de estudantes da EJA - Ensino Médio no processo de aprendizagem de matemática
title_fullStr Argumentação de estudantes da EJA - Ensino Médio no processo de aprendizagem de matemática
title_full_unstemmed Argumentação de estudantes da EJA - Ensino Médio no processo de aprendizagem de matemática
title_sort Argumentação de estudantes da EJA - Ensino Médio no processo de aprendizagem de matemática
author Sá, Eloar Barreto Feitoza
author_facet Sá, Eloar Barreto Feitoza
author_role author
dc.contributor.author.fl_str_mv Sá, Eloar Barreto Feitoza
dc.contributor.advisor1.fl_str_mv Attie, João Paulo
contributor_str_mv Attie, João Paulo
dc.subject.por.fl_str_mv Ensino de ciências
Ensino de matemática
Educação de jovens e adultos (EJA)
Raciocínio
Argumentação em matemática
Estudantes da EJA
Estrutura do argumento
topic Ensino de ciências
Ensino de matemática
Educação de jovens e adultos (EJA)
Raciocínio
Argumentação em matemática
Estudantes da EJA
Estrutura do argumento
Argumentation in mathematics
Youth and adult education students
Argument structure
CIENCIAS HUMANAS::EDUCACAO
dc.subject.eng.fl_str_mv Argumentation in mathematics
Youth and adult education students
Argument structure
dc.subject.cnpq.fl_str_mv CIENCIAS HUMANAS::EDUCACAO
description In this study, we focus the argument in mathematics. The ability to argue tends to be associated with the development of criticality, since it can favor reflective thinking, the production of knowledge and, therefore, the learning process (LEITÃO, 2011). Considering it as the expression of reasoning, it has a relevant relationship with mathematical skills to be developed in the school environment. In Mathematics Education, „reasoning‟, „representing‟, „arguing‟ and „communicating‟ are linked to competencies and skills considered fundamental to student learning and development, as evidenced by the Common National Curricular Base (Base Nacional Curricular Comum-BNCC). These capacities are articulated through the production of justifications, by students, for results achieved during the resolution of certain problems (BRASIL, 2017). In this context, our aim with the present study is to examine aspects of arguments issued by students of the Youth and Adult Education - High School (Educação de Jovens e Adultos - Ensino Médio - EJAEM) teaching method in answers that contain mathematical questions. It is a research with a qualitative approach, whose nature corresponds to a case study. Its realization occurred in four moments. In the first, we made observations of some of the remote classes of the Mathematics teacher from six school classes at the level of education of the study focus. Before that, we interviewed the referred teachers in search of information about their teaching trajectory, their lesson plans, the teaching of the discipline and their knowledge of argumentation. In a second step, we collected data for the characterization of the students participating, as well as their relationship with mathematics, from the application of a questionnaire. The third and fourth moments correspond, respectively, to the individual application of a list of questions involving mathematics in order to enable the issue of arguments and a group discussion to collectively reach solutions to other questions with mathematics. We examined the responses obtained with the individual lists and tried to classify the justifications, whenever possible, based on the types of evidence by Balacheff (1988). For the answers and justifications elaborated by the students collectively, we adopted the Toulmin model (2001) trying to identify the constituent elements of the constructed arguments. As a result, we noticed a weakness in the student's elaboration of arguments on issues involving mathematics, especially when those arguments are produced individually through writing. Thus, a significant number of responses submitted in writing did not have enough information to allow us to classify the types of evidence. In the case of the arguments produced from a communication in pairs, we found the predominance of justifications consisting of a description of the reasoning adopted by one of the components of each pair.
publishDate 2021
dc.date.accessioned.fl_str_mv 2021-06-08T02:35:33Z
dc.date.available.fl_str_mv 2021-06-08T02:35:33Z
dc.date.issued.fl_str_mv 2021-02-22
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dc.identifier.citation.fl_str_mv SÁ, Eloar Barreto Feitoza. Argumentação de estudantes da EJA - Ensino Médio no processo de aprendizagem de matemática. 2021. 182 f. Dissertação (Mestrado em Ensino de Ciências e Matemática) - Universidade Federal de Sergipe, São Cristóvão, SE, 2021.
dc.identifier.uri.fl_str_mv https://ri.ufs.br/jspui/handle/riufs/14319
identifier_str_mv SÁ, Eloar Barreto Feitoza. Argumentação de estudantes da EJA - Ensino Médio no processo de aprendizagem de matemática. 2021. 182 f. Dissertação (Mestrado em Ensino de Ciências e Matemática) - Universidade Federal de Sergipe, São Cristóvão, SE, 2021.
url https://ri.ufs.br/jspui/handle/riufs/14319
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