Aprendizagem baseada em problemas na formação inicial do professor de matemática: um experimento

Detalhes bibliográficos
Autor(a) principal: Zimmermann, Samuel Sonego
Data de Publicação: 2019
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Manancial - Repositório Digital da UFSM
Texto Completo: http://repositorio.ufsm.br/handle/1/23593
Resumo: The present research has as a problem to investigate what are the learning potentials of a group, composed of four students of the Mathematics Degree course at the Federal University of Santa Maria (UFSM). Through a didactic sequence along the lines of Problem Based Learning (PBL) in teaching functions. Altogether, 11 meetings were held, one per week in the afternoon shift, with an average duration of two hours. The elaborated activities are composed by the concept of affine functions, quadratic and applications. As a theoretical contribution, John Sweller's Theory of Cognitive Load was adopted. Before the development of the study, the group answered an initial questionnaire to verify previous knowledge about functions and PBL, and a second questionnaire at the end of the didactic sequence. As a tool for data collection, the researcher's diary and a spreadsheet called the photograph of the moment were created, serving as support to fulfill the objective. Therefore, a qualitative research-action was carried out. Analyzing the first questionnaire, it was possible to identify the lack of knowledge about active methodologies, the concept of open problem. By comparing the researcher's diary and the second questionnaire with the first, it was possible to infer that PBL has so many complicating factors - time, teacher preparation, problem construction, fear of using new methods and students' difficulties - such as facilitators - interdisciplinarity, professional preparation, initiation into the scientific method, practical activity and group work.
id UFSM-20_57cfa816ec3a63051269508d94d606e1
oai_identifier_str oai:repositorio.ufsm.br:1/23593
network_acronym_str UFSM-20
network_name_str Manancial - Repositório Digital da UFSM
repository_id_str 3913
spelling 2022-01-20T14:09:51Z2022-01-20T14:09:51Z2019-12-17http://repositorio.ufsm.br/handle/1/23593The present research has as a problem to investigate what are the learning potentials of a group, composed of four students of the Mathematics Degree course at the Federal University of Santa Maria (UFSM). Through a didactic sequence along the lines of Problem Based Learning (PBL) in teaching functions. Altogether, 11 meetings were held, one per week in the afternoon shift, with an average duration of two hours. The elaborated activities are composed by the concept of affine functions, quadratic and applications. As a theoretical contribution, John Sweller's Theory of Cognitive Load was adopted. Before the development of the study, the group answered an initial questionnaire to verify previous knowledge about functions and PBL, and a second questionnaire at the end of the didactic sequence. As a tool for data collection, the researcher's diary and a spreadsheet called the photograph of the moment were created, serving as support to fulfill the objective. Therefore, a qualitative research-action was carried out. Analyzing the first questionnaire, it was possible to identify the lack of knowledge about active methodologies, the concept of open problem. By comparing the researcher's diary and the second questionnaire with the first, it was possible to infer that PBL has so many complicating factors - time, teacher preparation, problem construction, fear of using new methods and students' difficulties - such as facilitators - interdisciplinarity, professional preparation, initiation into the scientific method, practical activity and group work.A presente pesquisa tem por problemática investigar quais são as potencialidades de aprendizados de um grupo, composto por quatro estudantes do curso de Licenciatura em Matemática da Universidade Federal de Santa Maria (UFSM). Através de uma sequência didática nos moldes da Aprendizagem Baseada em Problemas (ABP) no ensino de funções. Ao todo, foram desenvolvidos 11 encontros, sendo um por semana no turno da tarde, com duração média de duas horas. As atividades elaboradas são compostas pelo conceito de funções afim, quadrática e aplicações. Como aporte teórico adotou-se a Teoria da Carga Cognitiva, de John Sweller. Antes do desenvolvimento do estudo, o grupo respondeu a um questionário inicial para verificar os conhecimentos prévios acerca de funções e do ABP, e um segundo questionário no final da sequência didática. Como ferramenta de coleta de dados foram constituídos o diário do pesquisador e uma planilha intitulada de fotografia do momento, servindo de apoio para cumprimento do objetivo. Realizou-se, portanto, uma pesquisa-ação, de cunho qualitativo. Analisando o primeiro questionário, foi possível identificar o desconhecimento acerca de metodologias ativas, do conceito de problema em aberto. Confrontando o diário do pesquisador e o segundo questionário com o primeiro, foi possível inferir que o ABP apresenta tanto fatores complicadores – o tempo, a preparação do professor, a construção do problema, o medo em utilizar métodos novos e as dificuldades dos alunos – como facilitadores – a interdisciplinaridade, a preparação profissional, a iniciação no método científico, a atividade prática e o trabalho em grupo.porUniversidade Federal de Santa MariaCentro de Ciências Naturais e ExatasPrograma de Pós-Graduação em Educação Matemática e Ensino de FísicaUFSMBrasilEducaçãoAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessTeoria da carga cognitivaAprendizagem baseada em problemasEnsino de funçõesTheory of cognitive loadProblem-based learningTeaching functionsCNPQ::CIENCIAS HUMANAS::EDUCACAOAprendizagem baseada em problemas na formação inicial do professor de matemática: um experimentoProblem-based learning in the initial training of the mathematics teacher: an experimentinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisFajardo, Ricardohttp://lattes.cnpq.br/4796609278630063Bulegon, Ana MarliMathias, Carmen Vieirahttp://lattes.cnpq.br/5162159768738862Zimmermann, Samuel Sonego7008000000066006006006b8969e6-2ca9-4ffa-8382-107fa8a29ed5eabc1840-65d8-46fa-bd68-e19af18c173a758a3eb6-b5c8-4873-bcde-741968eedf4461725bb3-72e9-42c8-9cfe-0e6e40455f2areponame:Manancial - Repositório Digital da UFSMinstname:Universidade Federal de Santa Maria (UFSM)instacron:UFSMCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805http://repositorio.ufsm.br/bitstream/1/23593/2/license_rdf4460e5956bc1d1639be9ae6146a50347MD52ORIGINALDIS_PPGEMEF_2019_ZIMMERMANN_SAMUEL.pdfDIS_PPGEMEF_2019_ZIMMERMANN_SAMUEL.pdfDissertação de Mestradoapplication/pdf5842995http://repositorio.ufsm.br/bitstream/1/23593/1/DIS_PPGEMEF_2019_ZIMMERMANN_SAMUEL.pdfd9721e345fe9a6e5d62086111ffbcfc8MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81956http://repositorio.ufsm.br/bitstream/1/23593/3/license.txt2f0571ecee68693bd5cd3f17c1e075dfMD531/235932022-01-20 11:12:51.018oai:repositorio.ufsm.br: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ório Institucionalhttp://repositorio.ufsm.br/PUBhttp://repositorio.ufsm.br/oai/requestopendoar:39132022-01-20T14:12:51Manancial - Repositório Digital da UFSM - Universidade Federal de Santa Maria (UFSM)false
dc.title.por.fl_str_mv Aprendizagem baseada em problemas na formação inicial do professor de matemática: um experimento
dc.title.alternative.eng.fl_str_mv Problem-based learning in the initial training of the mathematics teacher: an experiment
title Aprendizagem baseada em problemas na formação inicial do professor de matemática: um experimento
spellingShingle Aprendizagem baseada em problemas na formação inicial do professor de matemática: um experimento
Zimmermann, Samuel Sonego
Teoria da carga cognitiva
Aprendizagem baseada em problemas
Ensino de funções
Theory of cognitive load
Problem-based learning
Teaching functions
CNPQ::CIENCIAS HUMANAS::EDUCACAO
title_short Aprendizagem baseada em problemas na formação inicial do professor de matemática: um experimento
title_full Aprendizagem baseada em problemas na formação inicial do professor de matemática: um experimento
title_fullStr Aprendizagem baseada em problemas na formação inicial do professor de matemática: um experimento
title_full_unstemmed Aprendizagem baseada em problemas na formação inicial do professor de matemática: um experimento
title_sort Aprendizagem baseada em problemas na formação inicial do professor de matemática: um experimento
author Zimmermann, Samuel Sonego
author_facet Zimmermann, Samuel Sonego
author_role author
dc.contributor.advisor1.fl_str_mv Fajardo, Ricardo
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/4796609278630063
dc.contributor.referee1.fl_str_mv Bulegon, Ana Marli
dc.contributor.referee2.fl_str_mv Mathias, Carmen Vieira
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/5162159768738862
dc.contributor.author.fl_str_mv Zimmermann, Samuel Sonego
contributor_str_mv Fajardo, Ricardo
Bulegon, Ana Marli
Mathias, Carmen Vieira
dc.subject.por.fl_str_mv Teoria da carga cognitiva
Aprendizagem baseada em problemas
Ensino de funções
topic Teoria da carga cognitiva
Aprendizagem baseada em problemas
Ensino de funções
Theory of cognitive load
Problem-based learning
Teaching functions
CNPQ::CIENCIAS HUMANAS::EDUCACAO
dc.subject.eng.fl_str_mv Theory of cognitive load
Problem-based learning
Teaching functions
dc.subject.cnpq.fl_str_mv CNPQ::CIENCIAS HUMANAS::EDUCACAO
description The present research has as a problem to investigate what are the learning potentials of a group, composed of four students of the Mathematics Degree course at the Federal University of Santa Maria (UFSM). Through a didactic sequence along the lines of Problem Based Learning (PBL) in teaching functions. Altogether, 11 meetings were held, one per week in the afternoon shift, with an average duration of two hours. The elaborated activities are composed by the concept of affine functions, quadratic and applications. As a theoretical contribution, John Sweller's Theory of Cognitive Load was adopted. Before the development of the study, the group answered an initial questionnaire to verify previous knowledge about functions and PBL, and a second questionnaire at the end of the didactic sequence. As a tool for data collection, the researcher's diary and a spreadsheet called the photograph of the moment were created, serving as support to fulfill the objective. Therefore, a qualitative research-action was carried out. Analyzing the first questionnaire, it was possible to identify the lack of knowledge about active methodologies, the concept of open problem. By comparing the researcher's diary and the second questionnaire with the first, it was possible to infer that PBL has so many complicating factors - time, teacher preparation, problem construction, fear of using new methods and students' difficulties - such as facilitators - interdisciplinarity, professional preparation, initiation into the scientific method, practical activity and group work.
publishDate 2019
dc.date.issued.fl_str_mv 2019-12-17
dc.date.accessioned.fl_str_mv 2022-01-20T14:09:51Z
dc.date.available.fl_str_mv 2022-01-20T14:09:51Z
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/1/23593
url http://repositorio.ufsm.br/handle/1/23593
dc.language.iso.fl_str_mv por
language por
dc.relation.cnpq.fl_str_mv 700800000006
dc.relation.confidence.fl_str_mv 600
600
600
dc.relation.authority.fl_str_mv 6b8969e6-2ca9-4ffa-8382-107fa8a29ed5
eabc1840-65d8-46fa-bd68-e19af18c173a
758a3eb6-b5c8-4873-bcde-741968eedf44
61725bb3-72e9-42c8-9cfe-0e6e40455f2a
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.publisher.none.fl_str_mv Universidade Federal de Santa Maria
Centro de Ciências Naturais e Exatas
dc.publisher.program.fl_str_mv Programa de Pós-Graduação em Educação Matemática e Ensino de Física
dc.publisher.initials.fl_str_mv UFSM
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Educação
publisher.none.fl_str_mv Universidade Federal de Santa Maria
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
bitstream.url.fl_str_mv http://repositorio.ufsm.br/bitstream/1/23593/2/license_rdf
http://repositorio.ufsm.br/bitstream/1/23593/1/DIS_PPGEMEF_2019_ZIMMERMANN_SAMUEL.pdf
http://repositorio.ufsm.br/bitstream/1/23593/3/license.txt
bitstream.checksum.fl_str_mv 4460e5956bc1d1639be9ae6146a50347
d9721e345fe9a6e5d62086111ffbcfc8
2f0571ecee68693bd5cd3f17c1e075df
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Manancial - Repositório Digital da UFSM - Universidade Federal de Santa Maria (UFSM)
repository.mail.fl_str_mv
_version_ 1801223660443271168