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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Geometria analítica: articulando registros algébricos e geométricos com o GrafEqAnalytical geometry: articulating algebraic and geometric records with GrafEqRegistros de representação semióticaEngenharia didáticaEnsino médioGeometria analíticaGrafEqRegisters of semiotic representationDidactic engineeringHigh schoolAnalytical geometryCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICAIn 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.Universidade Federal de Santa MariaBrasilMatemáticaUFSMPrograma de Pós-Graduação em Matemática em Rede NacionalCentro de Ciências Naturais e ExatasBittencourt, Fidelishttp://lattes.cnpq.br/8222657444317759Magnago, Karine FaverzaniFioreze, Leandra AnversaMartinelli, Diego da Silva Pinto2021-07-22T17:31:29Z2021-07-22T17:31:29Z2017-08-04info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisapplication/pdfhttp://repositorio.ufsm.br/handle/1/21566porAttribution-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:UFSM2021-07-23T06:02:35Zoai:repositorio.ufsm.br:1/21566Biblioteca Digital de Teses e Dissertaçõeshttps://repositorio.ufsm.br/ONGhttps://repositorio.ufsm.br/oai/requestatendimento.sib@ufsm.br||tedebc@gmail.comopendoar:2021-07-23T06:02:35Manancial - Repositório Digital da UFSM - Universidade Federal de Santa Maria (UFSM)false |
dc.title.none.fl_str_mv |
Geometria analítica: articulando registros algébricos e geométricos com o GrafEq 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.none.fl_str_mv |
Bittencourt, Fidelis http://lattes.cnpq.br/8222657444317759 Magnago, Karine Faverzani Fioreze, Leandra Anversa |
dc.contributor.author.fl_str_mv |
Martinelli, Diego da Silva Pinto |
dc.subject.por.fl_str_mv |
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 |
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 |
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.none.fl_str_mv |
2017-08-04 2021-07-22T17:31:29Z 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.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 Matemática UFSM Programa de Pós-Graduação em Matemática em Rede Nacional Centro de Ciências Naturais e Exatas |
publisher.none.fl_str_mv |
Universidade Federal de Santa Maria Brasil Matemática UFSM Programa de Pós-Graduação em Matemática em Rede Nacional 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) |
instacron_str |
UFSM |
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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1805922043761262592 |