Análise das concepções de professores de matemática em formação inicial sobre o ensino e a aprendizagem significativa do conceito de número racional

Detalhes bibliográficos
Autor(a) principal: Silva, Maiara Alessandra Lopes da
Data de Publicação: 2023
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Manancial - Repositório Digital da UFSM
Texto Completo: http://repositorio.ufsm.br/handle/1/29491
Resumo: The conceptions that Mathematics teachers presents regarding to the teaching and learning processes guide their pedagogical practice, with initial formation being an importante context to constitute them. Therefore, this dissertation discusses the contributions of introducing the Theory of Meaningful Learning to Mathematics teachers in initial training, aiming to investigate, build and transform conceptions, promoting those more conducive to the meaningful learning of Math. For this purpose, the selected subject was rational numbers, whose traditional approach tends to prioritize the training of mathematical operations, often converging to mechanical learning and leading to important conceptual difficulties. This is a qualitative research, of the intervention research type, which sought to answer the question: What are the conceptions of Mathematics teachers in initial formation about the teaching and learning of Mathematics and could it be possible to build or modify them based on workshops addressing the Theory of Meaningful Learning and its implications for the learning of the concept of rational number? For its elucidation, training workshops were developed with the investigated group, in which we presented the rational numbers in their distinct representations and different meanings and illustrated the TAS in this context, considering the contributions of Moreira and Masini (1982), Moreira (1999; 2006; 2010), and Novak's and Gowin’s Theory of Education (1984). To collect the data regarding the conceptions of the participants about teaching and learning, especially of Mathematics, we apply two questionnaires whose individual responses were analyzed using Discursive Textual Analysis (MORAES; GALIAZZI, 2007). The concept maps constructed by each participant provided data concerning the contributions of the workshops devolepd to the establishment of conceptual and theoretical knowledge related to the meaningful learning of the concept of rational number, and were analyzed considering the recommendations of Moreira (2010). The analysis of the questionnaires allowed us to conclude that Mathematics teachers in initial formation are influenced by the traditional methods by which they were taught, nurturing teaching conceptions strongly related to mechanical learning. Despite this, they recognize its effects not always positive for the cognitive development of the students, demonstrating interest and potential to constitute pedagogical practices that lead to the meaningful learning of Mathematics by the students. From the maps produced by the participants was possible to verify conceptual fragilities related to rational numbers, but they also evidenced the contribution of the workshops devolepd so that the volunteers could acquire knowledge and visualize the concept of rational number as a result of an articulation between its different meanings and representations. Finally, this dissertation demonstrated that to present the Theory of Meaningful Learning to Mathematics teachers in initial training is important for the promotion of conceptions that eventually lead to practices that are more conducive to the meaningful learning of Mathematics, focusing on the acquisition of concepts, with teaching initiation programs being an importante context for the ampliation and application of this knowledge.
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spelling Análise das concepções de professores de matemática em formação inicial sobre o ensino e a aprendizagem significativa do conceito de número racionalAnalysis of the conceptions of mathematics teachers in initial formation regarding the teaching and meaningful learning of the concept of rational numberConcepçõesAprendizagem significativaFormação docenteEnsino de MatemáticaPesquisa intervençãoConceptionsMeaningful learningTeacher formationMathematics teachingIntervention researchCNPQ::CIENCIAS HUMANAS::EDUCACAOThe conceptions that Mathematics teachers presents regarding to the teaching and learning processes guide their pedagogical practice, with initial formation being an importante context to constitute them. Therefore, this dissertation discusses the contributions of introducing the Theory of Meaningful Learning to Mathematics teachers in initial training, aiming to investigate, build and transform conceptions, promoting those more conducive to the meaningful learning of Math. For this purpose, the selected subject was rational numbers, whose traditional approach tends to prioritize the training of mathematical operations, often converging to mechanical learning and leading to important conceptual difficulties. This is a qualitative research, of the intervention research type, which sought to answer the question: What are the conceptions of Mathematics teachers in initial formation about the teaching and learning of Mathematics and could it be possible to build or modify them based on workshops addressing the Theory of Meaningful Learning and its implications for the learning of the concept of rational number? For its elucidation, training workshops were developed with the investigated group, in which we presented the rational numbers in their distinct representations and different meanings and illustrated the TAS in this context, considering the contributions of Moreira and Masini (1982), Moreira (1999; 2006; 2010), and Novak's and Gowin’s Theory of Education (1984). To collect the data regarding the conceptions of the participants about teaching and learning, especially of Mathematics, we apply two questionnaires whose individual responses were analyzed using Discursive Textual Analysis (MORAES; GALIAZZI, 2007). The concept maps constructed by each participant provided data concerning the contributions of the workshops devolepd to the establishment of conceptual and theoretical knowledge related to the meaningful learning of the concept of rational number, and were analyzed considering the recommendations of Moreira (2010). The analysis of the questionnaires allowed us to conclude that Mathematics teachers in initial formation are influenced by the traditional methods by which they were taught, nurturing teaching conceptions strongly related to mechanical learning. Despite this, they recognize its effects not always positive for the cognitive development of the students, demonstrating interest and potential to constitute pedagogical practices that lead to the meaningful learning of Mathematics by the students. From the maps produced by the participants was possible to verify conceptual fragilities related to rational numbers, but they also evidenced the contribution of the workshops devolepd so that the volunteers could acquire knowledge and visualize the concept of rational number as a result of an articulation between its different meanings and representations. Finally, this dissertation demonstrated that to present the Theory of Meaningful Learning to Mathematics teachers in initial training is important for the promotion of conceptions that eventually lead to practices that are more conducive to the meaningful learning of Mathematics, focusing on the acquisition of concepts, with teaching initiation programs being an importante context for the ampliation and application of this knowledge.As concepções que os professores de Matemática apresentam em relação aos processos de ensino e aprendizagem são norteadoras de sua prática pedagógica, sendo a formação inicial um contexto em que elas se constituem. Sendo assim, esta dissertação discute as contribuições da abordagem da Teoria da Aprendizagem Significativa – TAS com professores de Matemática em formação inicial, objetivando investigar, construir e transformar concepções, promovendo aquelas mais propícias à aprendizagem significativa de Matemática. Para tanto, o conteúdo selecionado foram os números racionais, cuja abordagem tradicional tende a priorizar o treino das operações matemáticas, convergindo muitas vezes para uma aprendizagem mecânica e levando a importantes dificuldades conceituais. Esta é uma pesquisa qualitativa, do tipo interventiva, que buscou responder à problemática: Quais as concepções de professores de Matemática em formação inicial sobre o ensino e a aprendizagem de Matemática e seria possível construí-las ou modificá-las a partir de oficinas abordando a Teoria da Aprendizagem Significativa e suas implicações para a aprendizagem do conceito de número racional? Para sua elucidação, procedemos à realização de oficinas formativas com o grupo investigado, nas quais buscamos abordar os números racionais em suas diferentes representações e significados, e ilustrar a TAS nesse contexto, considerando as obras de Moreira e Masini (1982), Moreira (1999; 2006; 2010), e a Teoria da Educação de Novak e Gowin (1984). Para a coleta dos dados referentes às concepções dos licenciandos sobre o ensino e a aprendizagem, especialmente de Matemática, recorremos a dois questionários, cujas respostas individuais foram analisadas por meio da Análise Textual Discursiva (MORAES; GALIAZZI, 2007). Já os mapas conceituais construídos por cada participante forneceram dados relativos às contribuições das oficinas para o estabelecimento de conhecimentos conceituais e teóricos relativos à aprendizagem significativa do conceito de número racional, e foram analisados considerando as recomendações de Moreira (2010). A análise dos questionários nos permitiu concluir que os professores de Matemática em formação inicial tendem a ser influenciados pelos métodos tradicionais com os quais foram ensinados, nutrindo concepções de ensino fortemente relacionadas à aprendizagem mecânica. Apesar disso, reconhecem seus efeitos nem sempre positivos para o desenvolvimento cognitivo dos alunos, demonstrando interesse e potencial para constituir práticas pedagógicas que conduzam à aprendizagem significativa de Matemática pelos alunos. Os mapas permitiram verificar fragilidades conceituais em relação aos números racionais por parte dos licenciandos, mas também evidenciaram a contribuição das oficinas realizadas para que eles pudessem adquirir conhecimento e visualizar o conceito de número racional como resultante da articulação entre seus diferentes significados e representações. Por fim, este trabalho demonstrou que a abordagem da TAS com professores de Matemática em formação inicial é importante para a promoção de concepções que eventualmente conduzam a práticas mais propícias à aprendizagem significativa de Matemática, com foco na aquisição de conceitos, sendo os programas de iniciação à docência um contexto importante para a ampliação e aplicação desses conhecimentos.Universidade Federal de Santa MariaBrasilEducaçãoUFSMPrograma de Pós-Graduação em Educação Matemática e Ensino de FísicaCentro de Ciências Naturais e ExatasSantarosa, Maria Cecília Pereirahttp://lattes.cnpq.br/7310867402763253Leão, Alex Sandro GomesTibulo, Vaneza De CarliLemos, Evelyse dos SantosSilva, Maiara Alessandra Lopes da2023-06-19T12:56:58Z2023-06-19T12:56:58Z2023-04-17info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisapplication/pdfhttp://repositorio.ufsm.br/handle/1/29491porAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessreponame:Manancial - Repositório Digital da UFSMinstname:Universidade Federal de Santa Maria (UFSM)instacron:UFSM2023-06-19T12:56:58Zoai:repositorio.ufsm.br:1/29491Biblioteca Digital de Teses e Dissertaçõeshttps://repositorio.ufsm.br/ONGhttps://repositorio.ufsm.br/oai/requestatendimento.sib@ufsm.br||tedebc@gmail.comopendoar:2023-06-19T12:56:58Manancial - Repositório Digital da UFSM - Universidade Federal de Santa Maria (UFSM)false
dc.title.none.fl_str_mv Análise das concepções de professores de matemática em formação inicial sobre o ensino e a aprendizagem significativa do conceito de número racional
Analysis of the conceptions of mathematics teachers in initial formation regarding the teaching and meaningful learning of the concept of rational number
title Análise das concepções de professores de matemática em formação inicial sobre o ensino e a aprendizagem significativa do conceito de número racional
spellingShingle Análise das concepções de professores de matemática em formação inicial sobre o ensino e a aprendizagem significativa do conceito de número racional
Silva, Maiara Alessandra Lopes da
Concepções
Aprendizagem significativa
Formação docente
Ensino de Matemática
Pesquisa intervenção
Conceptions
Meaningful learning
Teacher formation
Mathematics teaching
Intervention research
CNPQ::CIENCIAS HUMANAS::EDUCACAO
title_short Análise das concepções de professores de matemática em formação inicial sobre o ensino e a aprendizagem significativa do conceito de número racional
title_full Análise das concepções de professores de matemática em formação inicial sobre o ensino e a aprendizagem significativa do conceito de número racional
title_fullStr Análise das concepções de professores de matemática em formação inicial sobre o ensino e a aprendizagem significativa do conceito de número racional
title_full_unstemmed Análise das concepções de professores de matemática em formação inicial sobre o ensino e a aprendizagem significativa do conceito de número racional
title_sort Análise das concepções de professores de matemática em formação inicial sobre o ensino e a aprendizagem significativa do conceito de número racional
author Silva, Maiara Alessandra Lopes da
author_facet Silva, Maiara Alessandra Lopes da
author_role author
dc.contributor.none.fl_str_mv Santarosa, Maria Cecília Pereira
http://lattes.cnpq.br/7310867402763253
Leão, Alex Sandro Gomes
Tibulo, Vaneza De Carli
Lemos, Evelyse dos Santos
dc.contributor.author.fl_str_mv Silva, Maiara Alessandra Lopes da
dc.subject.por.fl_str_mv Concepções
Aprendizagem significativa
Formação docente
Ensino de Matemática
Pesquisa intervenção
Conceptions
Meaningful learning
Teacher formation
Mathematics teaching
Intervention research
CNPQ::CIENCIAS HUMANAS::EDUCACAO
topic Concepções
Aprendizagem significativa
Formação docente
Ensino de Matemática
Pesquisa intervenção
Conceptions
Meaningful learning
Teacher formation
Mathematics teaching
Intervention research
CNPQ::CIENCIAS HUMANAS::EDUCACAO
description The conceptions that Mathematics teachers presents regarding to the teaching and learning processes guide their pedagogical practice, with initial formation being an importante context to constitute them. Therefore, this dissertation discusses the contributions of introducing the Theory of Meaningful Learning to Mathematics teachers in initial training, aiming to investigate, build and transform conceptions, promoting those more conducive to the meaningful learning of Math. For this purpose, the selected subject was rational numbers, whose traditional approach tends to prioritize the training of mathematical operations, often converging to mechanical learning and leading to important conceptual difficulties. This is a qualitative research, of the intervention research type, which sought to answer the question: What are the conceptions of Mathematics teachers in initial formation about the teaching and learning of Mathematics and could it be possible to build or modify them based on workshops addressing the Theory of Meaningful Learning and its implications for the learning of the concept of rational number? For its elucidation, training workshops were developed with the investigated group, in which we presented the rational numbers in their distinct representations and different meanings and illustrated the TAS in this context, considering the contributions of Moreira and Masini (1982), Moreira (1999; 2006; 2010), and Novak's and Gowin’s Theory of Education (1984). To collect the data regarding the conceptions of the participants about teaching and learning, especially of Mathematics, we apply two questionnaires whose individual responses were analyzed using Discursive Textual Analysis (MORAES; GALIAZZI, 2007). The concept maps constructed by each participant provided data concerning the contributions of the workshops devolepd to the establishment of conceptual and theoretical knowledge related to the meaningful learning of the concept of rational number, and were analyzed considering the recommendations of Moreira (2010). The analysis of the questionnaires allowed us to conclude that Mathematics teachers in initial formation are influenced by the traditional methods by which they were taught, nurturing teaching conceptions strongly related to mechanical learning. Despite this, they recognize its effects not always positive for the cognitive development of the students, demonstrating interest and potential to constitute pedagogical practices that lead to the meaningful learning of Mathematics by the students. From the maps produced by the participants was possible to verify conceptual fragilities related to rational numbers, but they also evidenced the contribution of the workshops devolepd so that the volunteers could acquire knowledge and visualize the concept of rational number as a result of an articulation between its different meanings and representations. Finally, this dissertation demonstrated that to present the Theory of Meaningful Learning to Mathematics teachers in initial training is important for the promotion of conceptions that eventually lead to practices that are more conducive to the meaningful learning of Mathematics, focusing on the acquisition of concepts, with teaching initiation programs being an importante context for the ampliation and application of this knowledge.
publishDate 2023
dc.date.none.fl_str_mv 2023-06-19T12:56:58Z
2023-06-19T12:56:58Z
2023-04-17
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://repositorio.ufsm.br/handle/1/29491
url http://repositorio.ufsm.br/handle/1/29491
dc.language.iso.fl_str_mv por
language por
dc.rights.driver.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Santa Maria
Brasil
Educação
UFSM
Programa de Pós-Graduação em Educação Matemática e Ensino de Física
Centro de Ciências Naturais e Exatas
publisher.none.fl_str_mv Universidade Federal de Santa Maria
Brasil
Educação
UFSM
Programa de Pós-Graduação em Educação Matemática e Ensino de Física
Centro de Ciências Naturais e Exatas
dc.source.none.fl_str_mv reponame:Manancial - Repositório Digital da UFSM
instname:Universidade Federal de Santa Maria (UFSM)
instacron:UFSM
instname_str Universidade Federal de Santa Maria (UFSM)
instacron_str UFSM
institution UFSM
reponame_str Manancial - Repositório Digital da UFSM
collection Manancial - Repositório Digital da UFSM
repository.name.fl_str_mv Manancial - Repositório Digital da UFSM - Universidade Federal de Santa Maria (UFSM)
repository.mail.fl_str_mv atendimento.sib@ufsm.br||tedebc@gmail.com
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