Geometria espacial no Ensino Médio: Uma abordagem concreta

Detalhes bibliográficos
Autor(a) principal: Silva Filho, Gilberto Beserra da
Data de Publicação: 2015
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Biblioteca Digital de Teses e Dissertações da UEPB
Texto Completo: http://tede.bc.uepb.edu.br/tede/jspui/handle/tede/2326
Resumo: Our research work covers the field of geometry in order to investigate how a sequence of activities can contribute to the level advancements under the Van Hiele‟s model, starting from concrete everyday life objects and manipulable materials, relating them with the concepts and properties of geometric solids. To this end, we conducted a qualitative research in a senior year of a state High School in the city of Flores - PE. As our method, a series of activities were apllied, using manipulable materials, the van Hiele model and aspects of the social interaction, in view of the relevance of teaching and learning geometry. It was observed that, among the main implications of this research, the interpersonal relationships, group work and progress on development levels of geometric thinking can be emphasized. This research was conducted in five stages; the first four with the class working in groups, carrying out the presented activities; and the last one was carried out individually, with the students solving a questionnaire to verify whether there has been level progress, based on the van Hiele theory. The data were acquired through analysis of recorded audios, films, oral and written communication records. We rely on van Hiele‟s studies, especially on his levels of learning, which guided the elaboration of the activities sequence. Concerned about an appropriate methodology to more effectively contribute to understanding of the problem, we analyzed some teaching tools, including the Laboratório de Ensino de Geometria and two methodological tendencies of the mathematical teaching, emphasizing those that we considered more suitable for use in spatial geometry teaching. Our goal was to provide objective answers to pertinent solutions in our research and show that it is possible to engage students in the process, in a pleasant way and that they can build their knowledge with meaning. The results show a certain fragility that exists in the student regarding the knowledge of geometry. On the other hand, the results also show the existence of a potentiality for realization of the work through social interaction; therefore, we conclude that the sequence of activities, tied to the way they were experienced by the students, presents itself as a significant contribution so there is advancement in the development of geometrical thinking, based on the van Hiele model.
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spelling Almeida, José Joelson Pimentel de63284626468http://lattes.cnpq.br/8166150091846962Fossa, John Andrew13056476453http://lattes.cnpq.br/2466525106349625Santos, Marcelo Câmara dos44022556772http://lattes.cnpq.br/478545541921009002787847471http://lattes.cnpq.br/1058711679856082Silva Filho, Gilberto Beserra da2016-07-21T20:41:07Z2015-12-04SILVA FILHO, G. B. da. Geometria espacial no Ensino Médio: Uma abordagem concreta. 2015. 175f. Dissertação (Programa de Pós-Graduação em Ensino de Ciências e Educação Matemática - PPGECEM)- Universidade Estadual da Paraíba, Campina Grande, 2015.http://tede.bc.uepb.edu.br/tede/jspui/handle/tede/2326Our research work covers the field of geometry in order to investigate how a sequence of activities can contribute to the level advancements under the Van Hiele‟s model, starting from concrete everyday life objects and manipulable materials, relating them with the concepts and properties of geometric solids. To this end, we conducted a qualitative research in a senior year of a state High School in the city of Flores - PE. As our method, a series of activities were apllied, using manipulable materials, the van Hiele model and aspects of the social interaction, in view of the relevance of teaching and learning geometry. It was observed that, among the main implications of this research, the interpersonal relationships, group work and progress on development levels of geometric thinking can be emphasized. This research was conducted in five stages; the first four with the class working in groups, carrying out the presented activities; and the last one was carried out individually, with the students solving a questionnaire to verify whether there has been level progress, based on the van Hiele theory. The data were acquired through analysis of recorded audios, films, oral and written communication records. We rely on van Hiele‟s studies, especially on his levels of learning, which guided the elaboration of the activities sequence. Concerned about an appropriate methodology to more effectively contribute to understanding of the problem, we analyzed some teaching tools, including the Laboratório de Ensino de Geometria and two methodological tendencies of the mathematical teaching, emphasizing those that we considered more suitable for use in spatial geometry teaching. Our goal was to provide objective answers to pertinent solutions in our research and show that it is possible to engage students in the process, in a pleasant way and that they can build their knowledge with meaning. The results show a certain fragility that exists in the student regarding the knowledge of geometry. On the other hand, the results also show the existence of a potentiality for realization of the work through social interaction; therefore, we conclude that the sequence of activities, tied to the way they were experienced by the students, presents itself as a significant contribution so there is advancement in the development of geometrical thinking, based on the van Hiele model.Nosso trabalho de pesquisa aborda o campo da geometria, com o objetivo de investigar como uma sequência de atividades pode contribuir para o avanço de nível segundo o modelo van Hiele partindo de objetos concretos do cotidiano e de materiais manipuláveis relacionando-os com os conceitos e propriedades de sólidos geométricos. Para tanto, realizamos uma pesquisa de caráter qualitativo, numa turma de 3º Ano do Ensino Médio de uma escola estadual do município de Flores – PE. Utilizamos como método, a realização de uma sequência de atividades, utilizando materiais manipuláveis, o modelo van Hiele e aspectos da interação social, tendo em vista a relevância do ensino e aprendizagem da geometria. Observamos que, entre as principais repercussões desse trabalho, destacamos as relações interpessoais, o trabalho em grupo e o avanço sobre os níveis de desenvolvimento do pensamento geométrico. Essa pesquisa foi desenvolvida em cinco etapas, as quatro primeiras com a turma trabalhando em equipe na realização das atividades propostas, e a última individualmente, na resolução de um questionário para verificarmos se houve avanço de níveis, baseado na teoria de van Hiele. Os dados foram recolhidos por meio da observação de áudios, filmagens, registros da comunicação oral e escrita. Baseamo-nos nos estudos de van Hiele, sobretudo nas fases de aprendizagem, que nos nortearam na elaboração da sequência de atividades. Preocupados com uma metodologia adequada para contribuir de forma mais eficaz para compreensão do problema, fizemos uma análise de algumas ferramentas de ensino, entre elas o Laboratório de Ensino de Geometria e duas tendências metodológicas de ensino de Matemática, dando ênfase àquelas que achamos mais adequadas para utilizar no ensino de geometria espacial. Nossa proposta foi oferecer respostas objetivas para soluções pertinentes na nossa pesquisa e demonstrar que é possível envolver os alunos durante o processo, de forma prazerosa e que eles possam construir seu conhecimento com significado. Os resultados demonstram uma certa fragilidade que há por parte do aluno quanto ao conhecimento de geometria. Por outro lado, evidencia a potencialidade que há na realização do trabalho a partir da interação social, sendo assim concluímos que a sequência de atividades, atrelada à forma como foi vivenciada pelos alunos, contribui de forma significativa para que haja o avanço no desenvolvimento do pensamento geométrico baseado no modelo van Hiele.Submitted by Jean Medeiros (jeanletras@uepb.edu.br) on 2016-05-19T12:19:08Z No. of bitstreams: 1 PDF - Gilberto Beserra da Silva Filho.pdf: 2246546 bytes, checksum: 2ce35dfd1f7a8e15ac073b28740b5161 (MD5)Approved for entry into archive by Secta BC (secta.csu.bc@uepb.edu.br) on 2016-07-21T20:40:51Z (GMT) No. of bitstreams: 1 PDF - Gilberto Beserra da Silva Filho.pdf: 2246546 bytes, checksum: 2ce35dfd1f7a8e15ac073b28740b5161 (MD5)Approved for entry into archive by Secta BC (secta.csu.bc@uepb.edu.br) on 2016-07-21T20:41:07Z (GMT) No. of bitstreams: 1 PDF - Gilberto Beserra da Silva Filho.pdf: 2246546 bytes, checksum: 2ce35dfd1f7a8e15ac073b28740b5161 (MD5)Made available in DSpace on 2016-07-21T20:41:07Z (GMT). No. of bitstreams: 1 PDF - Gilberto Beserra da Silva Filho.pdf: 2246546 bytes, checksum: 2ce35dfd1f7a8e15ac073b28740b5161 (MD5) Previous issue date: 2015-12-04application/pdfhttp://tede.bc.uepb.edu.br/jspui/retrieve/4869/PDF%20-%20Gilberto%20Beserra%20da%20Silva%20Filho.pdf.jpgporUniversidade Estadual da ParaíbaPrograma de Pós-Graduação em Ensino de Ciências e Educação Matemática - PPGECEMUEPBBrasilPró-Reitoria de Pós-Graduação e Pesquisa - PRPGPEnsino de geometriaGeometria espacialInteração socialModelo Van HieleGeometry teachingSocial interactionVan Hiele ModelEDUCACAO::ENSINO-APRENDIZAGEMGeometria espacial no Ensino Médio: Uma abordagem concretaSpatial Geometry in high-school: a concrete approachinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis1724524240285131466600600600524871450381110278-4452917836576020174info:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da UEPBinstname:Universidade Estadual da Paraíba (UEPB)instacron:UEPBTHUMBNAILPDF - Gilberto Beserra da Silva Filho.pdf.jpgPDF - Gilberto Beserra da Silva Filho.pdf.jpgimage/jpeg3795http://tede.bc.uepb.edu.br/jspui/bitstream/tede/2326/3/PDF+-+Gilberto+Beserra+da+Silva+Filho.pdf.jpg897056512ad3bab4e3395bc39f5668a0MD53ORIGINALPDF - Gilberto Beserra da Silva Filho.pdfPDF - Gilberto Beserra da Silva Filho.pdfapplication/pdf2246546http://tede.bc.uepb.edu.br/jspui/bitstream/tede/2326/2/PDF+-+Gilberto+Beserra+da+Silva+Filho.pdf2ce35dfd1f7a8e15ac073b28740b5161MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81960http://tede.bc.uepb.edu.br/jspui/bitstream/tede/2326/1/license.txt6052ae61e77222b2086e666b7ae213ceMD51tede/23262016-07-22 01:04:09.414oai:tede.bc.uepb.edu.br: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Biblioteca Digital de Teses e Dissertaçõeshttp://tede.bc.uepb.edu.br/jspui/PUBhttp://tede.bc.uepb.edu.br/oai/requestbc@uepb.edu.br||opendoar:2016-07-22T04:04:09Biblioteca Digital de Teses e Dissertações da UEPB - Universidade Estadual da Paraíba (UEPB)false
dc.title.por.fl_str_mv Geometria espacial no Ensino Médio: Uma abordagem concreta
dc.title.alternative.eng.fl_str_mv Spatial Geometry in high-school: a concrete approach
title Geometria espacial no Ensino Médio: Uma abordagem concreta
spellingShingle Geometria espacial no Ensino Médio: Uma abordagem concreta
Silva Filho, Gilberto Beserra da
Ensino de geometria
Geometria espacial
Interação social
Modelo Van Hiele
Geometry teaching
Social interaction
Van Hiele Model
EDUCACAO::ENSINO-APRENDIZAGEM
title_short Geometria espacial no Ensino Médio: Uma abordagem concreta
title_full Geometria espacial no Ensino Médio: Uma abordagem concreta
title_fullStr Geometria espacial no Ensino Médio: Uma abordagem concreta
title_full_unstemmed Geometria espacial no Ensino Médio: Uma abordagem concreta
title_sort Geometria espacial no Ensino Médio: Uma abordagem concreta
author Silva Filho, Gilberto Beserra da
author_facet Silva Filho, Gilberto Beserra da
author_role author
dc.contributor.advisor1.fl_str_mv Almeida, José Joelson Pimentel de
dc.contributor.advisor1ID.fl_str_mv 63284626468
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/8166150091846962
dc.contributor.referee1.fl_str_mv Fossa, John Andrew
dc.contributor.referee1ID.fl_str_mv 13056476453
dc.contributor.referee1Lattes.fl_str_mv http://lattes.cnpq.br/2466525106349625
dc.contributor.referee2.fl_str_mv Santos, Marcelo Câmara dos
dc.contributor.referee2ID.fl_str_mv 44022556772
dc.contributor.referee2Lattes.fl_str_mv http://lattes.cnpq.br/4785455419210090
dc.contributor.authorID.fl_str_mv 02787847471
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/1058711679856082
dc.contributor.author.fl_str_mv Silva Filho, Gilberto Beserra da
contributor_str_mv Almeida, José Joelson Pimentel de
Fossa, John Andrew
Santos, Marcelo Câmara dos
dc.subject.por.fl_str_mv Ensino de geometria
Geometria espacial
Interação social
Modelo Van Hiele
topic Ensino de geometria
Geometria espacial
Interação social
Modelo Van Hiele
Geometry teaching
Social interaction
Van Hiele Model
EDUCACAO::ENSINO-APRENDIZAGEM
dc.subject.eng.fl_str_mv Geometry teaching
Social interaction
Van Hiele Model
dc.subject.cnpq.fl_str_mv EDUCACAO::ENSINO-APRENDIZAGEM
description Our research work covers the field of geometry in order to investigate how a sequence of activities can contribute to the level advancements under the Van Hiele‟s model, starting from concrete everyday life objects and manipulable materials, relating them with the concepts and properties of geometric solids. To this end, we conducted a qualitative research in a senior year of a state High School in the city of Flores - PE. As our method, a series of activities were apllied, using manipulable materials, the van Hiele model and aspects of the social interaction, in view of the relevance of teaching and learning geometry. It was observed that, among the main implications of this research, the interpersonal relationships, group work and progress on development levels of geometric thinking can be emphasized. This research was conducted in five stages; the first four with the class working in groups, carrying out the presented activities; and the last one was carried out individually, with the students solving a questionnaire to verify whether there has been level progress, based on the van Hiele theory. The data were acquired through analysis of recorded audios, films, oral and written communication records. We rely on van Hiele‟s studies, especially on his levels of learning, which guided the elaboration of the activities sequence. Concerned about an appropriate methodology to more effectively contribute to understanding of the problem, we analyzed some teaching tools, including the Laboratório de Ensino de Geometria and two methodological tendencies of the mathematical teaching, emphasizing those that we considered more suitable for use in spatial geometry teaching. Our goal was to provide objective answers to pertinent solutions in our research and show that it is possible to engage students in the process, in a pleasant way and that they can build their knowledge with meaning. The results show a certain fragility that exists in the student regarding the knowledge of geometry. On the other hand, the results also show the existence of a potentiality for realization of the work through social interaction; therefore, we conclude that the sequence of activities, tied to the way they were experienced by the students, presents itself as a significant contribution so there is advancement in the development of geometrical thinking, based on the van Hiele model.
publishDate 2015
dc.date.issued.fl_str_mv 2015-12-04
dc.date.accessioned.fl_str_mv 2016-07-21T20:41:07Z
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dc.identifier.citation.fl_str_mv SILVA FILHO, G. B. da. Geometria espacial no Ensino Médio: Uma abordagem concreta. 2015. 175f. Dissertação (Programa de Pós-Graduação em Ensino de Ciências e Educação Matemática - PPGECEM)- Universidade Estadual da Paraíba, Campina Grande, 2015.
dc.identifier.uri.fl_str_mv http://tede.bc.uepb.edu.br/tede/jspui/handle/tede/2326
identifier_str_mv SILVA FILHO, G. B. da. Geometria espacial no Ensino Médio: Uma abordagem concreta. 2015. 175f. Dissertação (Programa de Pós-Graduação em Ensino de Ciências e Educação Matemática - PPGECEM)- Universidade Estadual da Paraíba, Campina Grande, 2015.
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