Geometria espacial na EJA: uma proposta de ensino à luz do modelo van Hiele com auxílio do software de geometria dinâmica GeoGebra
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Repositório Institucional da UFG |
Texto Completo: | http://repositorio.bc.ufg.br/tede/handle/tede/11639 |
Resumo: | This dissertation is the result of a study that aims to analyze the challenges and possibilities for the teaching of spatial geometry in Youth and Adult Education (EJA), based on official documents, on EJA conceptions, on theories of thought development. geometric and methodological resources adopted for this teaching. The study begins with the analysis of the legal aspects of EJA and the peculiarities of this modality of Basic Education, highlighting some conceptions, challenges and possibilities for teaching young people and adults today. Next, an approach to van Hiele's theory is made, seeking to understand the development phases of geometric thinking in young and adult students and how geometric concepts should be approached in the teaching and learning process. As an auxiliary resource to the teaching of Spatial Geometry at EJA, a proposal for the use of the GeoGebra software is presented to the area's teachers, with pedagogical aspects for this teaching. In the author's experience as an EJA teacher, what can be seen is that most publications dealing with the teaching of Geometry with the help of GeoGebra, despite the great contributions to teaching, are not motivating for the EJA student, mainly because the vocabulary adopted and the way of approaching the contents are not adequate to the reality of this student. In this sense, this work discusses the need for the teacher to look at the specifics of teaching for young and adult students, considering their interests, expectations, potential, levels of geometric thinking and learning rhythms. Seeking theoretical support in official documents of Basic Education and in authors such as D’Ambrosio (2012); Fonseca (2005); Freire (1996); Gadotti e Romão (2000); Kaleff [et al] (1994); Lorenzato (1995); Nunes, Carraher e Schliemann (2011); among others, seeks to understand the educational aspects of EJA and propose alternatives to improve geometry teaching, so that learning occurs satisfactorily, in compliance with the role of the teacher and the school in providing quality education for young and adult students, as guaranteed by current legislation. |
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Faria, Elisabeth Cristina dehttp://lattes.cnpq.br/5007480938176936Faria, Elisabeth Cristina deSouza, Marcelo Almeida deVieira, Vanda Domingoshttp://lattes.cnpq.br/6243838824261254Silva, Eber Oliveira2021-09-20T11:19:30Z2021-09-20T11:19:30Z2021-08-16SILVA, E. O. Geometria espacial na EJA: uma proposta de ensino à luz do modelo van Hiele com auxílio do software de geometria dinâmica GeoGebra. 2021. 300 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2021.http://repositorio.bc.ufg.br/tede/handle/tede/11639This dissertation is the result of a study that aims to analyze the challenges and possibilities for the teaching of spatial geometry in Youth and Adult Education (EJA), based on official documents, on EJA conceptions, on theories of thought development. geometric and methodological resources adopted for this teaching. The study begins with the analysis of the legal aspects of EJA and the peculiarities of this modality of Basic Education, highlighting some conceptions, challenges and possibilities for teaching young people and adults today. Next, an approach to van Hiele's theory is made, seeking to understand the development phases of geometric thinking in young and adult students and how geometric concepts should be approached in the teaching and learning process. As an auxiliary resource to the teaching of Spatial Geometry at EJA, a proposal for the use of the GeoGebra software is presented to the area's teachers, with pedagogical aspects for this teaching. In the author's experience as an EJA teacher, what can be seen is that most publications dealing with the teaching of Geometry with the help of GeoGebra, despite the great contributions to teaching, are not motivating for the EJA student, mainly because the vocabulary adopted and the way of approaching the contents are not adequate to the reality of this student. In this sense, this work discusses the need for the teacher to look at the specifics of teaching for young and adult students, considering their interests, expectations, potential, levels of geometric thinking and learning rhythms. Seeking theoretical support in official documents of Basic Education and in authors such as D’Ambrosio (2012); Fonseca (2005); Freire (1996); Gadotti e Romão (2000); Kaleff [et al] (1994); Lorenzato (1995); Nunes, Carraher e Schliemann (2011); among others, seeks to understand the educational aspects of EJA and propose alternatives to improve geometry teaching, so that learning occurs satisfactorily, in compliance with the role of the teacher and the school in providing quality education for young and adult students, as guaranteed by current legislation.Esta dissertação é fruto de um estudo que tem como objetivo analisar os desafios e possibilidades para o ensino de geometria espacial na Educação de Jovens e Adultos (EJA), baseando-se em documentos oficiais, nas concepções de EJA, nas teorias de desenvolvimento do pensamento geométrico e nos recursos metodológicos adotados para esse ensino. O estudo se inicia com a análise dos aspectos legais da EJA e as peculiaridades dessa modalidade da Educação Básica, destacando-se algumas concepções, desafios e possibilidades para o ensino de jovens e adultos na atualidade. Na sequência, é feita uma abordagem da teoria de van Hiele, buscando compreender as fases desenvolvimento do pensamento geométrico do aluno jovem e adulto e como os conceitos geométricos devem ser abordados no processo de ensino e aprendizagem. Como recurso auxiliar ao ensino de Geometria Espacial na EJA, é apresentada, aos professores da área, uma proposta de utilização do software GeoGebra, com aspectos pedagógicos para esse ensino. Na experiência do autor como professor de EJA, o que se percebe, a maioria das publicações que tratam do ensino de Geometria com o auxílio do GeoGebra, apesar das grandes contribuições para o ensino, não são motivadoras para o aluno da EJA, principalmente porque o vocabulário adotado e a forma de abordagem dos conteúdos não estão adequados à realidade desse aluno. Nesse sentido, este trabalho discute a necessidade de o professor olhar para as especificidades do ensino para o aluno jovem e adulto, considerando-se seus interesses, expectativas, potencialidades, níveis de pensamento geométrico e ritmos de aprendizagem. Buscando aporte teórico nos documentos oficiais da Educação Básica e em autores como D’Ambrosio (2012); Fonseca (2005); Freire (1996); Gadotti e Romão (2000); Kaleff [et al] (1994); Lorenzato (1995); Nunes, Carraher e Schliemann (2011); dentre outros, procura-se compreender os aspectos educacionais da EJA e propor alternativas para a melhoria do ensino de geometria, para que a aprendizagem ocorra de forma satisfatória, em cumprimento ao papel do professor e da escola em proporcionar ao aluno jovem e adulto uma educação de qualidade, como garantido na legislação vigente.Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2021-09-17T13:33:44Z No. of bitstreams: 2 Dissertação - Eber Oliveira Silva - 2021.pdf: 22558507 bytes, checksum: 94eeab85c985d2056ac9fba64ff58040 (MD5) license_rdf: 805 bytes, checksum: 4460e5956bc1d1639be9ae6146a50347 (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2021-09-20T11:19:30Z (GMT) No. of bitstreams: 2 Dissertação - Eber Oliveira Silva - 2021.pdf: 22558507 bytes, checksum: 94eeab85c985d2056ac9fba64ff58040 (MD5) license_rdf: 805 bytes, checksum: 4460e5956bc1d1639be9ae6146a50347 (MD5)Made available in DSpace on 2021-09-20T11:19:30Z (GMT). No. of bitstreams: 2 Dissertação - Eber Oliveira Silva - 2021.pdf: 22558507 bytes, checksum: 94eeab85c985d2056ac9fba64ff58040 (MD5) license_rdf: 805 bytes, checksum: 4460e5956bc1d1639be9ae6146a50347 (MD5) Previous issue date: 2021-08-16porUniversidade Federal de GoiásPROFMAT - Programa de Pós-graduação em Matemática em Rede Nacional - Sociedade Brasileira de Matemática (IME)UFGBrasilInstituto de Matemática e Estatística - IME (RG)Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessEJAGeoGebraGeometria espacialPensamento geométricoEJASpatial geometryGeoGebraGeometric thinkingCIENCIAS EXATAS E DA TERRA::MATEMATICAGeometria espacial na EJA: uma proposta de ensino à luz do modelo van Hiele com auxílio do software de geometria dinâmica GeoGebraSpatial geometry at EJA: a teaching proposal in the light of the van Hiele model with the aid of GeoGebra dynamic geometry softwareinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis6950050050027187reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGLICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://repositorio.bc.ufg.br/tede/bitstreams/c8e6455a-ac95-47e7-8816-874deb601068/download8a4605be74aa9ea9d79846c1fba20a33MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805http://repositorio.bc.ufg.br/tede/bitstreams/ae4f2a09-3f68-4efe-98e5-31d143cd8b5d/download4460e5956bc1d1639be9ae6146a50347MD52ORIGINALDissertação - Eber Oliveira Silva - 2021.pdfDissertação - Eber Oliveira Silva - 2021.pdfapplication/pdf22558507http://repositorio.bc.ufg.br/tede/bitstreams/52a00154-5d6d-4a21-8eb0-e6d98630443e/download94eeab85c985d2056ac9fba64ff58040MD53tede/116392021-09-20 08:19:30.952http://creativecommons.org/licenses/by-nc-nd/4.0/Attribution-NonCommercial-NoDerivatives 4.0 Internationalopen.accessoai:repositorio.bc.ufg.br:tede/11639http://repositorio.bc.ufg.br/tedeRepositório InstitucionalPUBhttp://repositorio.bc.ufg.br/oai/requesttasesdissertacoes.bc@ufg.bropendoar:2021-09-20T11:19:30Repositório Institucional da UFG - Universidade Federal de Goiás (UFG)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 |
dc.title.pt_BR.fl_str_mv |
Geometria espacial na EJA: uma proposta de ensino à luz do modelo van Hiele com auxílio do software de geometria dinâmica GeoGebra |
dc.title.alternative.eng.fl_str_mv |
Spatial geometry at EJA: a teaching proposal in the light of the van Hiele model with the aid of GeoGebra dynamic geometry software |
title |
Geometria espacial na EJA: uma proposta de ensino à luz do modelo van Hiele com auxílio do software de geometria dinâmica GeoGebra |
spellingShingle |
Geometria espacial na EJA: uma proposta de ensino à luz do modelo van Hiele com auxílio do software de geometria dinâmica GeoGebra Silva, Eber Oliveira EJA GeoGebra Geometria espacial Pensamento geométrico EJA Spatial geometry GeoGebra Geometric thinking CIENCIAS EXATAS E DA TERRA::MATEMATICA |
title_short |
Geometria espacial na EJA: uma proposta de ensino à luz do modelo van Hiele com auxílio do software de geometria dinâmica GeoGebra |
title_full |
Geometria espacial na EJA: uma proposta de ensino à luz do modelo van Hiele com auxílio do software de geometria dinâmica GeoGebra |
title_fullStr |
Geometria espacial na EJA: uma proposta de ensino à luz do modelo van Hiele com auxílio do software de geometria dinâmica GeoGebra |
title_full_unstemmed |
Geometria espacial na EJA: uma proposta de ensino à luz do modelo van Hiele com auxílio do software de geometria dinâmica GeoGebra |
title_sort |
Geometria espacial na EJA: uma proposta de ensino à luz do modelo van Hiele com auxílio do software de geometria dinâmica GeoGebra |
author |
Silva, Eber Oliveira |
author_facet |
Silva, Eber Oliveira |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Faria, Elisabeth Cristina de |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/5007480938176936 |
dc.contributor.referee1.fl_str_mv |
Faria, Elisabeth Cristina de |
dc.contributor.referee2.fl_str_mv |
Souza, Marcelo Almeida de |
dc.contributor.referee3.fl_str_mv |
Vieira, Vanda Domingos |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/6243838824261254 |
dc.contributor.author.fl_str_mv |
Silva, Eber Oliveira |
contributor_str_mv |
Faria, Elisabeth Cristina de Faria, Elisabeth Cristina de Souza, Marcelo Almeida de Vieira, Vanda Domingos |
dc.subject.por.fl_str_mv |
EJA GeoGebra Geometria espacial Pensamento geométrico |
topic |
EJA GeoGebra Geometria espacial Pensamento geométrico EJA Spatial geometry GeoGebra Geometric thinking CIENCIAS EXATAS E DA TERRA::MATEMATICA |
dc.subject.eng.fl_str_mv |
EJA Spatial geometry GeoGebra Geometric thinking |
dc.subject.cnpq.fl_str_mv |
CIENCIAS EXATAS E DA TERRA::MATEMATICA |
description |
This dissertation is the result of a study that aims to analyze the challenges and possibilities for the teaching of spatial geometry in Youth and Adult Education (EJA), based on official documents, on EJA conceptions, on theories of thought development. geometric and methodological resources adopted for this teaching. The study begins with the analysis of the legal aspects of EJA and the peculiarities of this modality of Basic Education, highlighting some conceptions, challenges and possibilities for teaching young people and adults today. Next, an approach to van Hiele's theory is made, seeking to understand the development phases of geometric thinking in young and adult students and how geometric concepts should be approached in the teaching and learning process. As an auxiliary resource to the teaching of Spatial Geometry at EJA, a proposal for the use of the GeoGebra software is presented to the area's teachers, with pedagogical aspects for this teaching. In the author's experience as an EJA teacher, what can be seen is that most publications dealing with the teaching of Geometry with the help of GeoGebra, despite the great contributions to teaching, are not motivating for the EJA student, mainly because the vocabulary adopted and the way of approaching the contents are not adequate to the reality of this student. In this sense, this work discusses the need for the teacher to look at the specifics of teaching for young and adult students, considering their interests, expectations, potential, levels of geometric thinking and learning rhythms. Seeking theoretical support in official documents of Basic Education and in authors such as D’Ambrosio (2012); Fonseca (2005); Freire (1996); Gadotti e Romão (2000); Kaleff [et al] (1994); Lorenzato (1995); Nunes, Carraher e Schliemann (2011); among others, seeks to understand the educational aspects of EJA and propose alternatives to improve geometry teaching, so that learning occurs satisfactorily, in compliance with the role of the teacher and the school in providing quality education for young and adult students, as guaranteed by current legislation. |
publishDate |
2021 |
dc.date.accessioned.fl_str_mv |
2021-09-20T11:19:30Z |
dc.date.available.fl_str_mv |
2021-09-20T11:19:30Z |
dc.date.issued.fl_str_mv |
2021-08-16 |
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.citation.fl_str_mv |
SILVA, E. O. Geometria espacial na EJA: uma proposta de ensino à luz do modelo van Hiele com auxílio do software de geometria dinâmica GeoGebra. 2021. 300 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2021. |
dc.identifier.uri.fl_str_mv |
http://repositorio.bc.ufg.br/tede/handle/tede/11639 |
identifier_str_mv |
SILVA, E. O. Geometria espacial na EJA: uma proposta de ensino à luz do modelo van Hiele com auxílio do software de geometria dinâmica GeoGebra. 2021. 300 f. Dissertação (Mestrado em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2021. |
url |
http://repositorio.bc.ufg.br/tede/handle/tede/11639 |
dc.language.iso.fl_str_mv |
por |
language |
por |
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69 |
dc.relation.confidence.fl_str_mv |
500 500 500 |
dc.relation.department.fl_str_mv |
27 |
dc.relation.cnpq.fl_str_mv |
187 |
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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 Goiás |
dc.publisher.program.fl_str_mv |
PROFMAT - Programa de Pós-graduação em Matemática em Rede Nacional - Sociedade Brasileira de Matemática (IME) |
dc.publisher.initials.fl_str_mv |
UFG |
dc.publisher.country.fl_str_mv |
Brasil |
dc.publisher.department.fl_str_mv |
Instituto de Matemática e Estatística - IME (RG) |
publisher.none.fl_str_mv |
Universidade Federal de Goiás |
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