Ensino de geometria espacial : uma abordagem investigativa
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Repositório Institucional da UFS |
Texto Completo: | http://ri.ufs.br/jspui/handle/riufs/11064 |
Resumo: | The teaching of spatial geometry is most often seen as applying solids formulas and calculating surface areas, a process in which students play a passive role and the teacher assumes the role of content exhibitor. Believing that the teaching-learning process of geometry is more successful when the student assumes an active role, the spatial geometry content was worked in two classes of third year of high school using a mathematical research approach. To do so, based on the ideas of Ponte, Oliveira and Brocado (2009), the activities developed in fourteen days of classes were analyzed. In order to check the advantages and disadvantages of working with this active approach. With this, it was observed that several challenges are encountered by the teacher: better preparation and mastery of the content and methodologies to be used, greater time consumption for preparation and execution of the classes, a closer look at the difficulties of the students, between others. It was also observed that research allows the teacher to continually evaluate his students and to detect, in a more specific way, the individual difficulties of these students. In addition, it provides learners with a legitimate mathematical experience in which they construct mathematical knowledge while developing other skills such as working in groups and expressing themselves mathematically. |
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Silva, Gilberlania Pereira SantosSantos, Wagner Ferreira2019-04-30T20:10:56Z2019-04-30T20:10:56Z2019-03-15SILVA, Gilberlania Pereira Santos. Ensino de geometria espacial : uma abordagem investigativa. 2019. 72 f. Dissertação (Mestrado profissional em Matemática) - Universidade Federal de Sergipe, São Cristóvão, SE, 2019.http://ri.ufs.br/jspui/handle/riufs/11064The teaching of spatial geometry is most often seen as applying solids formulas and calculating surface areas, a process in which students play a passive role and the teacher assumes the role of content exhibitor. Believing that the teaching-learning process of geometry is more successful when the student assumes an active role, the spatial geometry content was worked in two classes of third year of high school using a mathematical research approach. To do so, based on the ideas of Ponte, Oliveira and Brocado (2009), the activities developed in fourteen days of classes were analyzed. In order to check the advantages and disadvantages of working with this active approach. With this, it was observed that several challenges are encountered by the teacher: better preparation and mastery of the content and methodologies to be used, greater time consumption for preparation and execution of the classes, a closer look at the difficulties of the students, between others. It was also observed that research allows the teacher to continually evaluate his students and to detect, in a more specific way, the individual difficulties of these students. In addition, it provides learners with a legitimate mathematical experience in which they construct mathematical knowledge while developing other skills such as working in groups and expressing themselves mathematically.O ensino de geometria espacial, na maioria das vezes, é visto como aplicação de fórmulas de volumes de sólidos e cálculo de áreas de superfícies, um processo em que os alunos exercem um papel passivo e o professor assume o papel de expositor de conteúdo. Acreditando que o processo ensino-aprendizagem de geometria tenha maior êxito quando o aluno assume um papel ativo, o conteúdo de geometria espacial foi trabalhado em duas turmas de terceiro ano do ensino médio utilizando uma abordagem de investigação matemática. Para tanto, apoiado nas ideias de Ponte, Oliveira e Brocado (2009), foram analisadas as atividades desenvolvidas em quatorze dias de aula. A fim de verificar quais as vantagens e desvantagens de se trabalhar com esta abordagem ativa. Com isto, observou-se que vários são os desafios encontrados pelo professor: melhor preparação e domínio do conteúdo e das metodologias a serem usadas, maior consumo de tempo para preparação e execução das aulas, ter um olhar mais atento às dificuldades dos alunos, entre outros. Observou-se também que a investigação permite que o professor avalie continuamente seus alunos e detecte, de maneira mais específica, as dificuldades individuais destes. Além disso, proporciona aos discentes uma experiência matemática legítima na qual eles constroem o conhecimento matemático enquanto desenvolvem outras habilidades como trabalhar em grupo e expressar-se matematicamente.Itabaiana, SEporEstudo de geometriaEnsino de geometriaGeometria espacialInvestigação matemáticaEnsino-aprendizagemMathematical researchGeometryTeaching-learningCIENCIAS EXATAS E DA TERRA::MATEMATICAEnsino de geometria espacial : uma abordagem investigativainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisMestrado Profissional em MatemáticaUniversidade Federal de Sergipereponame:Repositório Institucional da UFSinstname:Universidade Federal de Sergipe (UFS)instacron:UFSinfo:eu-repo/semantics/openAccessTEXTGILBERLANIA_PEREIRA_SANTOS_SILVA.pdf.txtGILBERLANIA_PEREIRA_SANTOS_SILVA.pdf.txtExtracted texttext/plain101063https://ri.ufs.br/jspui/bitstream/riufs/11064/3/GILBERLANIA_PEREIRA_SANTOS_SILVA.pdf.txt78267b7d68f513bcfe64f9a2128bc11fMD53THUMBNAILGILBERLANIA_PEREIRA_SANTOS_SILVA.pdf.jpgGILBERLANIA_PEREIRA_SANTOS_SILVA.pdf.jpgGenerated Thumbnailimage/jpeg1184https://ri.ufs.br/jspui/bitstream/riufs/11064/4/GILBERLANIA_PEREIRA_SANTOS_SILVA.pdf.jpgb72730a3c89761fd8e4ebc7c1c8f6e0dMD54LICENSElicense.txtlicense.txttext/plain; charset=utf-81475https://ri.ufs.br/jspui/bitstream/riufs/11064/1/license.txt098cbbf65c2c15e1fb2e49c5d306a44cMD51ORIGINALGILBERLANIA_PEREIRA_SANTOS_SILVA.pdfGILBERLANIA_PEREIRA_SANTOS_SILVA.pdfapplication/pdf3267750https://ri.ufs.br/jspui/bitstream/riufs/11064/2/GILBERLANIA_PEREIRA_SANTOS_SILVA.pdfad0c516cc2d13629553f27422ca243b5MD52riufs/110642019-04-30 17:10:56.467oai:ufs.br:riufs/11064TElDRU7Dh0EgREUgRElTVFJJQlVJw4fDg08gTsODTy1FWENMVVNJVkEKCkNvbSBhIGFwcmVzZW50YcOnw6NvIGRlc3RhIGxpY2Vuw6dhLCB2b2PDqiAobyBhdXRvcihlcykgb3UgbyB0aXR1bGFyIGRvcyBkaXJlaXRvcyBkZSBhdXRvcikgY29uY2VkZSDDoCBVbml2ZXJzaWRhZGUgRmVkZXJhbCBkZSBTZXJnaXBlIG8gZGlyZWl0byBuw6NvLWV4Y2x1c2l2byBkZSByZXByb2R1emlyIHNldSB0cmFiYWxobyBubyBmb3JtYXRvIGVsZXRyw7RuaWNvLCBpbmNsdWluZG8gb3MgZm9ybWF0b3Mgw6F1ZGlvIG91IHbDrWRlby4KClZvY8OqIGNvbmNvcmRhIHF1ZSBhIFVuaXZlcnNpZGFkZSBGZWRlcmFsIGRlIFNlcmdpcGUgcG9kZSwgc2VtIGFsdGVyYXIgbyBjb250ZcO6ZG8sIHRyYW5zcG9yIHNldSB0cmFiYWxobyBwYXJhIHF1YWxxdWVyIG1laW8gb3UgZm9ybWF0byBwYXJhIGZpbnMgZGUgcHJlc2VydmHDp8Ojby4KClZvY8OqIHRhbWLDqW0gY29uY29yZGEgcXVlIGEgVW5pdmVyc2lkYWRlIEZlZGVyYWwgZGUgU2VyZ2lwZSBwb2RlIG1hbnRlciBtYWlzIGRlIHVtYSBjw7NwaWEgZGUgc2V1IHRyYWJhbGhvIHBhcmEgZmlucyBkZSBzZWd1cmFuw6dhLCBiYWNrLXVwIGUgcHJlc2VydmHDp8Ojby4KClZvY8OqIGRlY2xhcmEgcXVlIHNldSB0cmFiYWxobyDDqSBvcmlnaW5hbCBlIHF1ZSB2b2PDqiB0ZW0gbyBwb2RlciBkZSBjb25jZWRlciBvcyBkaXJlaXRvcyBjb250aWRvcyBuZXN0YSBsaWNlbsOnYS4gVm9jw6ogdGFtYsOpbSBkZWNsYXJhIHF1ZSBvIGRlcMOzc2l0bywgcXVlIHNlamEgZGUgc2V1IGNvbmhlY2ltZW50bywgbsOjbyBpbmZyaW5nZSBkaXJlaXRvcyBhdXRvcmFpcyBkZSBuaW5ndcOpbS4KCkNhc28gbyB0cmFiYWxobyBjb250ZW5oYSBtYXRlcmlhbCBxdWUgdm9jw6ogbsOjbyBwb3NzdWkgYSB0aXR1bGFyaWRhZGUgZG9zIGRpcmVpdG9zIGF1dG9yYWlzLCB2b2PDqiBkZWNsYXJhIHF1ZSBvYnRldmUgYSBwZXJtaXNzw6NvIGlycmVzdHJpdGEgZG8gZGV0ZW50b3IgZG9zIGRpcmVpdG9zIGF1dG9yYWlzIHBhcmEgY29uY2VkZXIgw6AgVW5pdmVyc2lkYWRlIEZlZGVyYWwgZGUgU2VyZ2lwZSBvcyBkaXJlaXRvcyBhcHJlc2VudGFkb3MgbmVzdGEgbGljZW7Dp2EsIGUgcXVlIGVzc2UgbWF0ZXJpYWwgZGUgcHJvcHJpZWRhZGUgZGUgdGVyY2Vpcm9zIGVzdMOhIGNsYXJhbWVudGUgaWRlbnRpZmljYWRvIGUgcmVjb25oZWNpZG8gbm8gdGV4dG8gb3Ugbm8gY29udGXDumRvLgoKQSBVbml2ZXJzaWRhZGUgRmVkZXJhbCBkZSBTZXJnaXBlIHNlIGNvbXByb21ldGUgYSBpZGVudGlmaWNhciBjbGFyYW1lbnRlIG8gc2V1IG5vbWUocykgb3UgbyhzKSBub21lKHMpIGRvKHMpIApkZXRlbnRvcihlcykgZG9zIGRpcmVpdG9zIGF1dG9yYWlzIGRvIHRyYWJhbGhvLCBlIG7Do28gZmFyw6EgcXVhbHF1ZXIgYWx0ZXJhw6fDo28sIGFsw6ltIGRhcXVlbGFzIGNvbmNlZGlkYXMgcG9yIGVzdGEgbGljZW7Dp2EuIAo=Repositório InstitucionalPUBhttps://ri.ufs.br/oai/requestrepositorio@academico.ufs.bropendoar:2019-04-30T20:10:56Repositório Institucional da UFS - Universidade Federal de Sergipe (UFS)false |
dc.title.pt_BR.fl_str_mv |
Ensino de geometria espacial : uma abordagem investigativa |
title |
Ensino de geometria espacial : uma abordagem investigativa |
spellingShingle |
Ensino de geometria espacial : uma abordagem investigativa Silva, Gilberlania Pereira Santos Estudo de geometria Ensino de geometria Geometria espacial Investigação matemática Ensino-aprendizagem Mathematical research Geometry Teaching-learning CIENCIAS EXATAS E DA TERRA::MATEMATICA |
title_short |
Ensino de geometria espacial : uma abordagem investigativa |
title_full |
Ensino de geometria espacial : uma abordagem investigativa |
title_fullStr |
Ensino de geometria espacial : uma abordagem investigativa |
title_full_unstemmed |
Ensino de geometria espacial : uma abordagem investigativa |
title_sort |
Ensino de geometria espacial : uma abordagem investigativa |
author |
Silva, Gilberlania Pereira Santos |
author_facet |
Silva, Gilberlania Pereira Santos |
author_role |
author |
dc.contributor.author.fl_str_mv |
Silva, Gilberlania Pereira Santos |
dc.contributor.advisor1.fl_str_mv |
Santos, Wagner Ferreira |
contributor_str_mv |
Santos, Wagner Ferreira |
dc.subject.por.fl_str_mv |
Estudo de geometria Ensino de geometria Geometria espacial Investigação matemática Ensino-aprendizagem |
topic |
Estudo de geometria Ensino de geometria Geometria espacial Investigação matemática Ensino-aprendizagem Mathematical research Geometry Teaching-learning CIENCIAS EXATAS E DA TERRA::MATEMATICA |
dc.subject.eng.fl_str_mv |
Mathematical research Geometry Teaching-learning |
dc.subject.cnpq.fl_str_mv |
CIENCIAS EXATAS E DA TERRA::MATEMATICA |
description |
The teaching of spatial geometry is most often seen as applying solids formulas and calculating surface areas, a process in which students play a passive role and the teacher assumes the role of content exhibitor. Believing that the teaching-learning process of geometry is more successful when the student assumes an active role, the spatial geometry content was worked in two classes of third year of high school using a mathematical research approach. To do so, based on the ideas of Ponte, Oliveira and Brocado (2009), the activities developed in fourteen days of classes were analyzed. In order to check the advantages and disadvantages of working with this active approach. With this, it was observed that several challenges are encountered by the teacher: better preparation and mastery of the content and methodologies to be used, greater time consumption for preparation and execution of the classes, a closer look at the difficulties of the students, between others. It was also observed that research allows the teacher to continually evaluate his students and to detect, in a more specific way, the individual difficulties of these students. In addition, it provides learners with a legitimate mathematical experience in which they construct mathematical knowledge while developing other skills such as working in groups and expressing themselves mathematically. |
publishDate |
2019 |
dc.date.accessioned.fl_str_mv |
2019-04-30T20:10:56Z |
dc.date.available.fl_str_mv |
2019-04-30T20:10:56Z |
dc.date.issued.fl_str_mv |
2019-03-15 |
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, Gilberlania Pereira Santos. Ensino de geometria espacial : uma abordagem investigativa. 2019. 72 f. Dissertação (Mestrado profissional em Matemática) - Universidade Federal de Sergipe, São Cristóvão, SE, 2019. |
dc.identifier.uri.fl_str_mv |
http://ri.ufs.br/jspui/handle/riufs/11064 |
identifier_str_mv |
SILVA, Gilberlania Pereira Santos. Ensino de geometria espacial : uma abordagem investigativa. 2019. 72 f. Dissertação (Mestrado profissional em Matemática) - Universidade Federal de Sergipe, São Cristóvão, SE, 2019. |
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