Habilidades de visualização espacial na formação de professores de matemática

Detalhes bibliográficos
Autor(a) principal: Silva, Cristian Martins 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/1/29664
Resumo: Spatial Visualization Skills (SVS) can be defined as the ability to mentally visualize, manipulate and recognize an object. In the last two decades, a growing number of researches have discussed the potential of SVS as evidence and justification in teaching and learning problems in the area of Mathematics. Given its relevance in the context of Mathematics Education and its presence in Basic Education, mainly in Didactic Books (DB) and in the Exame Nacional do Ensino Médio (ENEM), it is understood the importance of addressing SVS in teacher training, and, in addition, the need to propose activities that develop SVS is evident. Therefore, a possible proposal is to associate these tasks with Digital Technologies (DT). In view of the above, the objective of this research is to investigate possibilities of working with SVS articulated with DT in a teacher training course. In this way, the present dissertation was structured in the format of articles, in which the five stages for the research are described: the first is the discussion of the theoretical aspects of SVS; the second consists of a mapping of dissertations on SVS; the third is the analysis of the presence of SVS in DB tasks; the fourth stage is the occurrence of questions present in ENEM tests that depend on the HVE to be resolved; the fifth step refers to the elaboration and application of a sequence of activities to develop SVS in a training course for Mathematics teachers. In this way, the first three stages of the investigation are characterized as Bibliographic Research, the fourth as Documentary Research and the last, being applied, as a Case Study. In this sense, based on the results of each stage, understand how some authors classify SVS, it was possible to place the research carried out in relation to the others selected in the mapping, evaluate how SVS are present in DB and how it is not broadly developed from of the analyzed categories, as well as in relation to ENEM questions that require certain visualization actions for resolution. Finally, the elaboration of a sequence of activities articulating the development of SVS with the use of DT showed how Dynamic Geometry Environments, in particular GeoGebra, played an important role in the exercise of spatial visualization with students of a teacher training course of math. In addition, this research found emerging difficulties in the development of SVS and expands the discussion on how to overcome these obstacles with the use of DT.
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spelling Habilidades de visualização espacial na formação de professores de matemáticaSpatial visualization skills in mathematics teacher trainingHabilidades de visualização espacialTecnologias digitaisLivros didáticos.Exame Nacional do Ensino MédioFormação de professores de matemáticaSpatial visualization skillsDigital technologiesDidactic booksNational High School ExaminationFormation of mathematics teachersCNPQ::CIENCIAS HUMANAS::EDUCACAOSpatial Visualization Skills (SVS) can be defined as the ability to mentally visualize, manipulate and recognize an object. In the last two decades, a growing number of researches have discussed the potential of SVS as evidence and justification in teaching and learning problems in the area of Mathematics. Given its relevance in the context of Mathematics Education and its presence in Basic Education, mainly in Didactic Books (DB) and in the Exame Nacional do Ensino Médio (ENEM), it is understood the importance of addressing SVS in teacher training, and, in addition, the need to propose activities that develop SVS is evident. Therefore, a possible proposal is to associate these tasks with Digital Technologies (DT). In view of the above, the objective of this research is to investigate possibilities of working with SVS articulated with DT in a teacher training course. In this way, the present dissertation was structured in the format of articles, in which the five stages for the research are described: the first is the discussion of the theoretical aspects of SVS; the second consists of a mapping of dissertations on SVS; the third is the analysis of the presence of SVS in DB tasks; the fourth stage is the occurrence of questions present in ENEM tests that depend on the HVE to be resolved; the fifth step refers to the elaboration and application of a sequence of activities to develop SVS in a training course for Mathematics teachers. In this way, the first three stages of the investigation are characterized as Bibliographic Research, the fourth as Documentary Research and the last, being applied, as a Case Study. In this sense, based on the results of each stage, understand how some authors classify SVS, it was possible to place the research carried out in relation to the others selected in the mapping, evaluate how SVS are present in DB and how it is not broadly developed from of the analyzed categories, as well as in relation to ENEM questions that require certain visualization actions for resolution. Finally, the elaboration of a sequence of activities articulating the development of SVS with the use of DT showed how Dynamic Geometry Environments, in particular GeoGebra, played an important role in the exercise of spatial visualization with students of a teacher training course of math. In addition, this research found emerging difficulties in the development of SVS and expands the discussion on how to overcome these obstacles with the use of DT.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESAs Habilidades de Visualização Espacial (HVE) podem ser definidas como a capacidade de visualizar, manipular e reconhecer um objeto mentalmente. Nas últimas duas décadas, um número crescente de pesquisas tem discutido o potencial das HVE como evidência e justificativa em problemas de ensino e aprendizagem na área de Matemática. Dada sua relevância no contexto da Educação Matemática e diante da sua presença na Educação Básica, principalmente nos Livros Didáticos (LD) e no Exame Nacional do Ensino Médio (ENEM), entende-se a importância de abordar as HVE na formação de professores, e, além disso, evidencia-se a necessidade de propor atividades que desenvolvam as HVE. Sendo assim, uma possibilidade de proposta é associar essas tarefas às Tecnologias Digitais (TD). Mediante o exposto, o objetivo desta pesquisa é investigar possibilidades de trabalhar as HVE articuladas às TD em um curso de formação de professores. Dessa forma, a presente dissertação foi estruturada no formato de artigos, em que descrevem-se as cinco etapas para a pesquisa: a primeira é a discussão dos aspectos teóricos das HVE; a segunda consiste em um mapeamento de dissertações sobre HVE; a terceira é a análise da presença das HVE em tarefas de LD; a quarta etapa é a ocorrência de questões presentes em provas do ENEM que dependem das HVE para serem resolvidas; a quinta etapa refere-se à elaboração e aplicação de uma sequência de atividades para desenvolver HVE em um curso de formação de professores de Matemática. Desta forma, as três primeiras etapas da investigação caracterizam-se como Pesquisa Bibliográfica, a quarta como Pesquisa Documental e a última, sendo aplicada, como um Estudo de Caso. Nesse sentido a partir dos resultados de cada etapa foi possível, entender como alguns autores classificam as HVE, situar a pesquisa realizada em relação às demais selecionadas no mapeamento, avaliar como as HVE estão presente nos LD e como ela não é desenvolvida de forma ampla a partir das categorias analisadas, assim como em relação às questões do ENEM que exigem determinadas ações de visualização para a resolução. Por fim, a elaboração de uma sequência de atividades articulando o desenvolvimento das HVE com o uso das TD evidenciou como os Ambientes de Geometria Dinâmica, em especial o GeoGebra, desempenharam um papel importante no exercício da visualização espacial com alunos de um curso de formação de professores de Matemática. Além disso, a presente pesquisa constatou dificuldades emergentes no desenvolvimento das HVE e amplia a discussão de como superar esses empecilhos com o uso das TD.Universidade Federal de Santa MariaBrasilEducaçãoUFSMPrograma de Pós-Graduação em Educação Matemática e Ensino de FísicaCentro de Ciências Naturais e ExatasMathias, Carmen Vieirahttp://lattes.cnpq.br/0112509701698645Pozzebon, SimoneBulegon, Ana MarliSilva, Cristian Martins da2023-07-10T17:59:08Z2023-07-10T17:59:08Z2023-05-25info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisapplication/pdfhttp://repositorio.ufsm.br/handle/1/29664porAttribution-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:UFSM2023-07-10T17:59:08Zoai:repositorio.ufsm.br:1/29664Biblioteca Digital de Teses e Dissertaçõeshttps://repositorio.ufsm.br/ONGhttps://repositorio.ufsm.br/oai/requestatendimento.sib@ufsm.br||tedebc@gmail.comopendoar:2023-07-10T17:59:08Manancial - Repositório Digital da UFSM - Universidade Federal de Santa Maria (UFSM)false
dc.title.none.fl_str_mv Habilidades de visualização espacial na formação de professores de matemática
Spatial visualization skills in mathematics teacher training
title Habilidades de visualização espacial na formação de professores de matemática
spellingShingle Habilidades de visualização espacial na formação de professores de matemática
Silva, Cristian Martins da
Habilidades de visualização espacial
Tecnologias digitais
Livros didáticos.
Exame Nacional do Ensino Médio
Formação de professores de matemática
Spatial visualization skills
Digital technologies
Didactic books
National High School Examination
Formation of mathematics teachers
CNPQ::CIENCIAS HUMANAS::EDUCACAO
title_short Habilidades de visualização espacial na formação de professores de matemática
title_full Habilidades de visualização espacial na formação de professores de matemática
title_fullStr Habilidades de visualização espacial na formação de professores de matemática
title_full_unstemmed Habilidades de visualização espacial na formação de professores de matemática
title_sort Habilidades de visualização espacial na formação de professores de matemática
author Silva, Cristian Martins da
author_facet Silva, Cristian Martins da
author_role author
dc.contributor.none.fl_str_mv Mathias, Carmen Vieira
http://lattes.cnpq.br/0112509701698645
Pozzebon, Simone
Bulegon, Ana Marli
dc.contributor.author.fl_str_mv Silva, Cristian Martins da
dc.subject.por.fl_str_mv Habilidades de visualização espacial
Tecnologias digitais
Livros didáticos.
Exame Nacional do Ensino Médio
Formação de professores de matemática
Spatial visualization skills
Digital technologies
Didactic books
National High School Examination
Formation of mathematics teachers
CNPQ::CIENCIAS HUMANAS::EDUCACAO
topic Habilidades de visualização espacial
Tecnologias digitais
Livros didáticos.
Exame Nacional do Ensino Médio
Formação de professores de matemática
Spatial visualization skills
Digital technologies
Didactic books
National High School Examination
Formation of mathematics teachers
CNPQ::CIENCIAS HUMANAS::EDUCACAO
description Spatial Visualization Skills (SVS) can be defined as the ability to mentally visualize, manipulate and recognize an object. In the last two decades, a growing number of researches have discussed the potential of SVS as evidence and justification in teaching and learning problems in the area of Mathematics. Given its relevance in the context of Mathematics Education and its presence in Basic Education, mainly in Didactic Books (DB) and in the Exame Nacional do Ensino Médio (ENEM), it is understood the importance of addressing SVS in teacher training, and, in addition, the need to propose activities that develop SVS is evident. Therefore, a possible proposal is to associate these tasks with Digital Technologies (DT). In view of the above, the objective of this research is to investigate possibilities of working with SVS articulated with DT in a teacher training course. In this way, the present dissertation was structured in the format of articles, in which the five stages for the research are described: the first is the discussion of the theoretical aspects of SVS; the second consists of a mapping of dissertations on SVS; the third is the analysis of the presence of SVS in DB tasks; the fourth stage is the occurrence of questions present in ENEM tests that depend on the HVE to be resolved; the fifth step refers to the elaboration and application of a sequence of activities to develop SVS in a training course for Mathematics teachers. In this way, the first three stages of the investigation are characterized as Bibliographic Research, the fourth as Documentary Research and the last, being applied, as a Case Study. In this sense, based on the results of each stage, understand how some authors classify SVS, it was possible to place the research carried out in relation to the others selected in the mapping, evaluate how SVS are present in DB and how it is not broadly developed from of the analyzed categories, as well as in relation to ENEM questions that require certain visualization actions for resolution. Finally, the elaboration of a sequence of activities articulating the development of SVS with the use of DT showed how Dynamic Geometry Environments, in particular GeoGebra, played an important role in the exercise of spatial visualization with students of a teacher training course of math. In addition, this research found emerging difficulties in the development of SVS and expands the discussion on how to overcome these obstacles with the use of DT.
publishDate 2023
dc.date.none.fl_str_mv 2023-07-10T17:59:08Z
2023-07-10T17:59:08Z
2023-05-25
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/1/29664
url http://repositorio.ufsm.br/handle/1/29664
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)
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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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