Geometria analítica: articulando registros algébricos e geométricos com o GrafEq
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Manancial - Repositório Digital da UFSM |
Texto Completo: | http://repositorio.ufsm.br/handle/1/21566 |
Resumo: | In this dissertation an investigation and the creation of a didactic proposal for the teaching of Analytical Geometry in computerized environments were developed, that could allow to the students to explore the algebraic and geometric registers with the use of GrafEq, propitiating the articulation between them. In this regard, our teaching sequence was elaborated in light of Raymond Duval's theory of semiotic representation records. We use didactic engineering as a research methodology, which values both the theoretical and the experimental aspects, ie articulates research and didactic action, as well as providing an organization in the work structure. It is hoped that the didactic sequence in computerized environments can contribute to the student's understanding of geometric concepts, expanding his knowledge. Our research environment was a group of the third year of high school, of the public network of Porto Alegre. It was verified that, after the sequence of teaching of the content of analytical geometry in computerized environments, the students presented themselves more critical and able to discuss in groups to form a consensual opinion in the resolution of problems, besides recognizing geometric elements in their registers algebraic and vice versa. |
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2021-07-22T17:31:29Z2021-07-22T17:31:29Z2017-08-04http://repositorio.ufsm.br/handle/1/21566In this dissertation an investigation and the creation of a didactic proposal for the teaching of Analytical Geometry in computerized environments were developed, that could allow to the students to explore the algebraic and geometric registers with the use of GrafEq, propitiating the articulation between them. In this regard, our teaching sequence was elaborated in light of Raymond Duval's theory of semiotic representation records. We use didactic engineering as a research methodology, which values both the theoretical and the experimental aspects, ie articulates research and didactic action, as well as providing an organization in the work structure. It is hoped that the didactic sequence in computerized environments can contribute to the student's understanding of geometric concepts, expanding his knowledge. Our research environment was a group of the third year of high school, of the public network of Porto Alegre. It was verified that, after the sequence of teaching of the content of analytical geometry in computerized environments, the students presented themselves more critical and able to discuss in groups to form a consensual opinion in the resolution of problems, besides recognizing geometric elements in their registers algebraic and vice versa.Nesta dissertação foi desenvolvida uma investigação e a criação de uma proposta didática para o ensino de Geometria Analítica em ambientes informatizados, que possa permitir aos discentes explorar os registros algébricos e geométricos com a utilização do GrafEq, propiciando a articulação entre os mesmos. Nesse sentido, nossa sequencia de ensino foi elaborada à luz da teoria dos registros de representação semiótica de Raymond Duval. Utilizamos como metodologia da pesquisa a engenharia didática, que valoriza tanto o aspecto teórico como experimental, ou seja, articula pesquisa e ação didática, além de proporcionar uma organização na estrutura do trabalho. Espera-se que a sequência didática em ambientes informatizados possa contribuir para que o aluno compreenda conceitos geométricos, ampliando seus conhecimentos. Nosso ambiente de pesquisa foi uma turma do terceiro ano do ensino médio, da rede pública de Porto Alegre. Verificou-se que, após a sequência de ensino do conteúdo de geometria analítica em ambientes informatizados, os discentes apresentaram-se mais críticos e capazes de discutir em grupos para formar uma opinião consensual na resolução de problemas, além de reconhecer elementos geométricos em seus registros algébricos e vice-versa.porUniversidade Federal de Santa MariaCentro de Ciências Naturais e ExatasPrograma de Pós-Graduação em Matemática em Rede NacionalUFSMBrasilMatemáticaAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessRegistros de representação semióticaEngenharia didáticaEnsino médioGeometria analíticaGrafEqRegisters of semiotic representationDidactic engineeringHigh schoolAnalytical geometryCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICAGeometria analítica: articulando registros algébricos e geométricos com o GrafEqAnalytical geometry: articulating algebraic and geometric records with GrafEqinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisBittencourt, Fidelishttp://lattes.cnpq.br/8222657444317759Magnago, Karine FaverzaniFioreze, Leandra AnversaXXXXXXXXXXXXXXXXXXXXXXMartinelli, Diego da Silva Pinto100100000008600600600a1051bd0-5277-4320-bc03-1a0a23b1666b8dd1c594-1e17-417c-8a22-d8d864b5a254024c47e4-8391-4508-acd9-919bf5180c03a004ac17-4d9d-4838-9b76-979686309269reponame:Manancial - Repositório Digital da UFSMinstname:Universidade Federal de Santa Maria (UFSM)instacron:UFSMCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; 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dc.title.por.fl_str_mv |
Geometria analítica: articulando registros algébricos e geométricos com o GrafEq |
dc.title.alternative.eng.fl_str_mv |
Analytical geometry: articulating algebraic and geometric records with GrafEq |
title |
Geometria analítica: articulando registros algébricos e geométricos com o GrafEq |
spellingShingle |
Geometria analítica: articulando registros algébricos e geométricos com o GrafEq Martinelli, Diego da Silva Pinto Registros de representação semiótica Engenharia didática Ensino médio Geometria analítica GrafEq Registers of semiotic representation Didactic engineering High school Analytical geometry CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
title_short |
Geometria analítica: articulando registros algébricos e geométricos com o GrafEq |
title_full |
Geometria analítica: articulando registros algébricos e geométricos com o GrafEq |
title_fullStr |
Geometria analítica: articulando registros algébricos e geométricos com o GrafEq |
title_full_unstemmed |
Geometria analítica: articulando registros algébricos e geométricos com o GrafEq |
title_sort |
Geometria analítica: articulando registros algébricos e geométricos com o GrafEq |
author |
Martinelli, Diego da Silva Pinto |
author_facet |
Martinelli, Diego da Silva Pinto |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Bittencourt, Fidelis |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/8222657444317759 |
dc.contributor.referee1.fl_str_mv |
Magnago, Karine Faverzani |
dc.contributor.referee2.fl_str_mv |
Fioreze, Leandra Anversa |
dc.contributor.authorLattes.fl_str_mv |
XXXXXXXXXXXXXXXXXXXXXX |
dc.contributor.author.fl_str_mv |
Martinelli, Diego da Silva Pinto |
contributor_str_mv |
Bittencourt, Fidelis Magnago, Karine Faverzani Fioreze, Leandra Anversa |
dc.subject.por.fl_str_mv |
Registros de representação semiótica Engenharia didática Ensino médio Geometria analítica GrafEq |
topic |
Registros de representação semiótica Engenharia didática Ensino médio Geometria analítica GrafEq Registers of semiotic representation Didactic engineering High school Analytical geometry CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
dc.subject.eng.fl_str_mv |
Registers of semiotic representation Didactic engineering High school Analytical geometry |
dc.subject.cnpq.fl_str_mv |
CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
description |
In this dissertation an investigation and the creation of a didactic proposal for the teaching of Analytical Geometry in computerized environments were developed, that could allow to the students to explore the algebraic and geometric registers with the use of GrafEq, propitiating the articulation between them. In this regard, our teaching sequence was elaborated in light of Raymond Duval's theory of semiotic representation records. We use didactic engineering as a research methodology, which values both the theoretical and the experimental aspects, ie articulates research and didactic action, as well as providing an organization in the work structure. It is hoped that the didactic sequence in computerized environments can contribute to the student's understanding of geometric concepts, expanding his knowledge. Our research environment was a group of the third year of high school, of the public network of Porto Alegre. It was verified that, after the sequence of teaching of the content of analytical geometry in computerized environments, the students presented themselves more critical and able to discuss in groups to form a consensual opinion in the resolution of problems, besides recognizing geometric elements in their registers algebraic and vice versa. |
publishDate |
2017 |
dc.date.issued.fl_str_mv |
2017-08-04 |
dc.date.accessioned.fl_str_mv |
2021-07-22T17:31:29Z |
dc.date.available.fl_str_mv |
2021-07-22T17:31:29Z |
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/1/21566 |
url |
http://repositorio.ufsm.br/handle/1/21566 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.cnpq.fl_str_mv |
100100000008 |
dc.relation.confidence.fl_str_mv |
600 600 600 |
dc.relation.authority.fl_str_mv |
a1051bd0-5277-4320-bc03-1a0a23b1666b 8dd1c594-1e17-417c-8a22-d8d864b5a254 024c47e4-8391-4508-acd9-919bf5180c03 a004ac17-4d9d-4838-9b76-979686309269 |
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 Matemática em Rede Nacional |
dc.publisher.initials.fl_str_mv |
UFSM |
dc.publisher.country.fl_str_mv |
Brasil |
dc.publisher.department.fl_str_mv |
Matemática |
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 |
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Universidade Federal de Santa Maria (UFSM) |
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UFSM |
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UFSM |
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