Explorando recursos do geogebrabook no estudo de quádricas a partir de diferentes representações

Detalhes bibliográficos
Autor(a) principal: Londero, Nandyne
Data de Publicação: 2017
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Manancial - Repositório Digital da UFSM
dARK ID: ark:/26339/001300000t02k
Texto Completo: http://repositorio.ufsm.br/handle/1/13480
Resumo: This dissertation work presents as a guiding question of research: How can GeoGebraBook's capabilities in the study of quadric surfaces be explored in order to generate a didactic material in which different representations are present and can be related to each other? In order to answer this question, a virtual didactic material was developed using GeoGebraBook tools to compose exploratory activities that seek to mobilize different representation registers in the study of quadratic surfaces. Initially, to support this research was adopted as an instrument of data collection the analysis of some books of analytical geometry directed to higher education that have been published since the 40's. For this, it was considered as a methodological reference the guidelines of the qualitative oriented research by the principles of the bibliographic research of GIL (2002). The theoretical basis was based on Raymond Duval's theory of registers of semiotic representation. Since this theory has a broad reference on the visualization process and, consequently, presents possibilities of interconnection in the use of potentialities of the virtual environment generated by GeoGebraBook. In this perspective twelve activities were elaborated containing innumerable applets that seek to relate the graphic representation with the algebric representation, since in the analysis of the books it was observed that the proposed activities remain, in the majority, only algebric scope.
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spelling Explorando recursos do geogebrabook no estudo de quádricas a partir de diferentes representaçõesExploring resources of geogebrabook in the quadric study from different representationsSuperfícies quádricasGeoGebraBookRegistros de representação semióticaQuadrics surfacesGeoGebraBookRecords of semiotic representationCNPQ::CIENCIAS HUMANAS::EDUCACAOThis dissertation work presents as a guiding question of research: How can GeoGebraBook's capabilities in the study of quadric surfaces be explored in order to generate a didactic material in which different representations are present and can be related to each other? In order to answer this question, a virtual didactic material was developed using GeoGebraBook tools to compose exploratory activities that seek to mobilize different representation registers in the study of quadratic surfaces. Initially, to support this research was adopted as an instrument of data collection the analysis of some books of analytical geometry directed to higher education that have been published since the 40's. For this, it was considered as a methodological reference the guidelines of the qualitative oriented research by the principles of the bibliographic research of GIL (2002). The theoretical basis was based on Raymond Duval's theory of registers of semiotic representation. Since this theory has a broad reference on the visualization process and, consequently, presents possibilities of interconnection in the use of potentialities of the virtual environment generated by GeoGebraBook. In this perspective twelve activities were elaborated containing innumerable applets that seek to relate the graphic representation with the algebric representation, since in the analysis of the books it was observed that the proposed activities remain, in the majority, only algebric scope.Este trabalho de dissertação apresenta como questão norteadora de pesquisa: Como as potencialidades do GeoGebraBook no estudo de superfícies quádricas podem ser exploradas a fim de gerar um material didático em que diferentes representações estejam presentes e possam ser relacionadas entre si? Com o intuito de buscar responder a esta questão foi elaborado um material didático virtual utilizando ferramentas do GeoGebraBook para compor atividades exploratórias que mobilizem diferentes registros de representação no estudo de superfícies quádricas. Inicialmente, fez-se um levantamento bibliográfico de pesquisas desenvolvidas, a fim de definir o conteúdo de geometria analítica que seria abordado. A partir disso, para subsidiar este trabalho adotou-se como instrumento de coleta de dados a análise de alguns livros de geometria analítica direcionados ao ensino superior que foram publicados no Brasil desde a década de 40. Para isso, foi considerado como referencial metodológico as orientações da pesquisa qualitativa orientada pelos princípios da pesquisa bibliográfica, com base em GIL (2002). A fundamentação teórica baseou-se na teoria de registros de representação semiótica de Raymond Duval. Uma vez que esta teoria possui um vasto referencial quanto ao processo de visualização e, consequentemente, apresenta possibilidades de interligação na utilização de potencialidades do ambiente virtual gerado pelo GeoGebraBook. Nesta perspectiva e pautando-se na análise realizada nos livros, onde observou-se, em sua maioria, atividades que permaneciam no âmbito apenas das representações algébricas, elaborou-se três livros virtuais. Sendo que, no primeiro apresenta-se uma breve descrição envolvendo cônicas; no segundo aborda-se superfícies quádricas e, o terceiro contém doze atividades, onde é feito uso de applets que buscam relacionar diferentes representações, em particular, dando ênfase a representação gráfica.Universidade Federal de Santa MariaBrasilEducaçãoUFSMPrograma de Pós-Graduação em Educação Matemática e Ensino de FísicaCentro de Ciências Naturais e ExatasFerreira, Inês Fariashttp://lattes.cnpq.br/0979050331045936Bulegon, Ana Marlihttp://lattes.cnpq.br/1315096515847809Mathias, Carmen Vieirahttp://lattes.cnpq.br/0112509701698645Londero, Nandyne2018-06-20T18:31:29Z2018-06-20T18:31:29Z2017-08-30info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisapplication/pdfhttp://repositorio.ufsm.br/handle/1/13480ark:/26339/001300000t02kporAttribution-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:UFSM2018-06-20T18:31:30Zoai:repositorio.ufsm.br:1/13480Biblioteca Digital de Teses e Dissertaçõeshttps://repositorio.ufsm.br/ONGhttps://repositorio.ufsm.br/oai/requestatendimento.sib@ufsm.br||tedebc@gmail.comopendoar:2018-06-20T18:31:30Manancial - Repositório Digital da UFSM - Universidade Federal de Santa Maria (UFSM)false
dc.title.none.fl_str_mv Explorando recursos do geogebrabook no estudo de quádricas a partir de diferentes representações
Exploring resources of geogebrabook in the quadric study from different representations
title Explorando recursos do geogebrabook no estudo de quádricas a partir de diferentes representações
spellingShingle Explorando recursos do geogebrabook no estudo de quádricas a partir de diferentes representações
Londero, Nandyne
Superfícies quádricas
GeoGebraBook
Registros de representação semiótica
Quadrics surfaces
GeoGebraBook
Records of semiotic representation
CNPQ::CIENCIAS HUMANAS::EDUCACAO
title_short Explorando recursos do geogebrabook no estudo de quádricas a partir de diferentes representações
title_full Explorando recursos do geogebrabook no estudo de quádricas a partir de diferentes representações
title_fullStr Explorando recursos do geogebrabook no estudo de quádricas a partir de diferentes representações
title_full_unstemmed Explorando recursos do geogebrabook no estudo de quádricas a partir de diferentes representações
title_sort Explorando recursos do geogebrabook no estudo de quádricas a partir de diferentes representações
author Londero, Nandyne
author_facet Londero, Nandyne
author_role author
dc.contributor.none.fl_str_mv Ferreira, Inês Farias
http://lattes.cnpq.br/0979050331045936
Bulegon, Ana Marli
http://lattes.cnpq.br/1315096515847809
Mathias, Carmen Vieira
http://lattes.cnpq.br/0112509701698645
dc.contributor.author.fl_str_mv Londero, Nandyne
dc.subject.por.fl_str_mv Superfícies quádricas
GeoGebraBook
Registros de representação semiótica
Quadrics surfaces
GeoGebraBook
Records of semiotic representation
CNPQ::CIENCIAS HUMANAS::EDUCACAO
topic Superfícies quádricas
GeoGebraBook
Registros de representação semiótica
Quadrics surfaces
GeoGebraBook
Records of semiotic representation
CNPQ::CIENCIAS HUMANAS::EDUCACAO
description This dissertation work presents as a guiding question of research: How can GeoGebraBook's capabilities in the study of quadric surfaces be explored in order to generate a didactic material in which different representations are present and can be related to each other? In order to answer this question, a virtual didactic material was developed using GeoGebraBook tools to compose exploratory activities that seek to mobilize different representation registers in the study of quadratic surfaces. Initially, to support this research was adopted as an instrument of data collection the analysis of some books of analytical geometry directed to higher education that have been published since the 40's. For this, it was considered as a methodological reference the guidelines of the qualitative oriented research by the principles of the bibliographic research of GIL (2002). The theoretical basis was based on Raymond Duval's theory of registers of semiotic representation. Since this theory has a broad reference on the visualization process and, consequently, presents possibilities of interconnection in the use of potentialities of the virtual environment generated by GeoGebraBook. In this perspective twelve activities were elaborated containing innumerable applets that seek to relate the graphic representation with the algebric representation, since in the analysis of the books it was observed that the proposed activities remain, in the majority, only algebric scope.
publishDate 2017
dc.date.none.fl_str_mv 2017-08-30
2018-06-20T18:31:29Z
2018-06-20T18:31:29Z
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/1/13480
dc.identifier.dark.fl_str_mv ark:/26339/001300000t02k
url http://repositorio.ufsm.br/handle/1/13480
identifier_str_mv ark:/26339/001300000t02k
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
Educação
UFSM
Programa de Pós-Graduação em Educação Matemática e Ensino de Física
Centro de Ciências Naturais e Exatas
publisher.none.fl_str_mv Universidade Federal de Santa Maria
Brasil
Educação
UFSM
Programa de Pós-Graduação em Educação Matemática e Ensino de Física
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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