QUADRIC SURFACES AND THE TEACHING OF ANALYTIC GEOMETRY: INTERSECTIONS IN RESEARCH
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Revista Reamec |
Texto Completo: | https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/9053 |
Resumo: | The present work is the result of a discipline offered in a Postgraduate Program in Science and Mathematics Teaching, which sought to explore links between concepts from oth Analytical Geometry and Linear Algebra. Thus, this research focuses on the theme of quadric surfaces, their application on the axis of Analytical Geometry and their possible links with the axis of Linear Algebra. Thus, our objective in this work was to map the productions that contemplated the theme, in order to verify what they bring from Applications and concepts related to quadric surfaces and Analytical Geometry. Whit this, this research is structured as follows: first, we conceptualize the quadric surfaces and their types, emphasizing also one of the possible relations of this theme with Analytical Geometry; Subsequently, we present the mapping performed on two digital thesis and dissertation plataforms in search of productions on the theme of quadrics, as well as the subsequente analysis of these productions. In conclusion, we observe many fragmentations regarding the teaching of mathematics, because when analyzing the productions, we found that the quadric surfaces were not connected to any other concept / content, but was worked individually. |
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QUADRIC SURFACES AND THE TEACHING OF ANALYTIC GEOMETRY: INTERSECTIONS IN RESEARCH SUPERFÍCIES QUÁDRICAS E O ENSINO DE GEOMETRIA ANALÍTICA: INTERSEÇÕES NA PESQUISASuperfícies QuádricasEnsino de MatemáticaGeometria Analítica.Quadrics SurfacesMathematics TeachingThe present work is the result of a discipline offered in a Postgraduate Program in Science and Mathematics Teaching, which sought to explore links between concepts from oth Analytical Geometry and Linear Algebra. Thus, this research focuses on the theme of quadric surfaces, their application on the axis of Analytical Geometry and their possible links with the axis of Linear Algebra. Thus, our objective in this work was to map the productions that contemplated the theme, in order to verify what they bring from Applications and concepts related to quadric surfaces and Analytical Geometry. Whit this, this research is structured as follows: first, we conceptualize the quadric surfaces and their types, emphasizing also one of the possible relations of this theme with Analytical Geometry; Subsequently, we present the mapping performed on two digital thesis and dissertation plataforms in search of productions on the theme of quadrics, as well as the subsequente analysis of these productions. In conclusion, we observe many fragmentations regarding the teaching of mathematics, because when analyzing the productions, we found that the quadric surfaces were not connected to any other concept / content, but was worked individually.O presente trabalho é fruto de uma disciplina ofertada em um Programa de Pós-graduação em Ensino de Ciências e Matemática, no qual se buscou explorar ligações entre conceitos oriundos tanto da Geometria Analítica quanto da Álgebra Linear. Assim, esta pesquisa se volta ao tema das superfícies quádricas, sua aplicação no eixo da Geometria Analítica e suas possíveis ligações com o eixo da Álgebra Linear. Desse modo, nosso objetivo, neste trabalho, foi mapear as produções que contemplassem o tema, a fim de verificar o que estas trazem de aplicações e conceitos relativos às superfícies quádricas e à Geometria Analítica. Com isso, esta pesquisa está estruturada do seguinte modo: primeiramente, conceituamos as superfícies quádricas e seus tipos, enfatizando, ainda, uma das possíveis relações desse tema com a Geometria Analítica; posteriormente, apresentamos o mapeamento realizado em duas plataformas digitais de teses e dissertações em busca de produções sobre o tema, bem como a posterior análise das referidas produções. A modo de conclusão, observamos muitas fragmentações com relação ao ensino de Matemática, pois, ao analisar as produções, verificamos que, as superfícies quádricas não foram conectadas a nenhum outro conceito/conteúdo e sim, foi trabalhada de forma individual.Universidade Federal de Mato Grosso (UFMT)2020-07-21info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/ziphttps://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/905310.26571/reamec.v7i3.9053 REAMEC - Red Amazónica de Educación en Ciencias y Matemáticas; Vol. 7 Núm. 3 (2019): Setembro a dezembro de 2019; 37-55REAMEC - Rede Amazônica de Educação em Ciências e Matemática; v. 7 n. 3 (2019): Setembro a dezembro de 2019; 37-55REAMEC Journal - Amazonian Network of Mathematical Education; Vol. 7 No. 3 (2019): Setembro a dezembro de 2019; 37-552318-6674reponame:Revista Reamecinstname:Universidade Federal de Mato Grosso (UFMT)instacron:UFMTporhttps://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/9053/pdfhttps://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/9053/8934https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/9053/8933https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/9053/8935https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/9053/8936https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/9053/8937Copyright (c) 2019 REAMEC - Rede Amazônica de Educação em Ciências e Matemáticahttps://creativecommons.org/licenses/by-nc/4.0info:eu-repo/semantics/openAccessVargas, Andressa FrancoPinto Leivas, José Carlos2020-07-28T11:50:53Zoai:periodicoscientificos.ufmt.br:article/9053Revistahttp://periodicoscientificos.ufmt.br/ojs/index.php/reamec/indexPUBhttp://periodicoscientificos.ufmt.br/ojs/index.php/reamec/oairevistareamec@gmail.com||2318-66742318-6674opendoar:2020-07-28T11:50:53Revista Reamec - Universidade Federal de Mato Grosso (UFMT)false |
dc.title.none.fl_str_mv |
QUADRIC SURFACES AND THE TEACHING OF ANALYTIC GEOMETRY: INTERSECTIONS IN RESEARCH SUPERFÍCIES QUÁDRICAS E O ENSINO DE GEOMETRIA ANALÍTICA: INTERSEÇÕES NA PESQUISA |
title |
QUADRIC SURFACES AND THE TEACHING OF ANALYTIC GEOMETRY: INTERSECTIONS IN RESEARCH |
spellingShingle |
QUADRIC SURFACES AND THE TEACHING OF ANALYTIC GEOMETRY: INTERSECTIONS IN RESEARCH Vargas, Andressa Franco Superfícies Quádricas Ensino de Matemática Geometria Analítica. Quadrics Surfaces Mathematics Teaching |
title_short |
QUADRIC SURFACES AND THE TEACHING OF ANALYTIC GEOMETRY: INTERSECTIONS IN RESEARCH |
title_full |
QUADRIC SURFACES AND THE TEACHING OF ANALYTIC GEOMETRY: INTERSECTIONS IN RESEARCH |
title_fullStr |
QUADRIC SURFACES AND THE TEACHING OF ANALYTIC GEOMETRY: INTERSECTIONS IN RESEARCH |
title_full_unstemmed |
QUADRIC SURFACES AND THE TEACHING OF ANALYTIC GEOMETRY: INTERSECTIONS IN RESEARCH |
title_sort |
QUADRIC SURFACES AND THE TEACHING OF ANALYTIC GEOMETRY: INTERSECTIONS IN RESEARCH |
author |
Vargas, Andressa Franco |
author_facet |
Vargas, Andressa Franco Pinto Leivas, José Carlos |
author_role |
author |
author2 |
Pinto Leivas, José Carlos |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Vargas, Andressa Franco Pinto Leivas, José Carlos |
dc.subject.por.fl_str_mv |
Superfícies Quádricas Ensino de Matemática Geometria Analítica. Quadrics Surfaces Mathematics Teaching |
topic |
Superfícies Quádricas Ensino de Matemática Geometria Analítica. Quadrics Surfaces Mathematics Teaching |
description |
The present work is the result of a discipline offered in a Postgraduate Program in Science and Mathematics Teaching, which sought to explore links between concepts from oth Analytical Geometry and Linear Algebra. Thus, this research focuses on the theme of quadric surfaces, their application on the axis of Analytical Geometry and their possible links with the axis of Linear Algebra. Thus, our objective in this work was to map the productions that contemplated the theme, in order to verify what they bring from Applications and concepts related to quadric surfaces and Analytical Geometry. Whit this, this research is structured as follows: first, we conceptualize the quadric surfaces and their types, emphasizing also one of the possible relations of this theme with Analytical Geometry; Subsequently, we present the mapping performed on two digital thesis and dissertation plataforms in search of productions on the theme of quadrics, as well as the subsequente analysis of these productions. In conclusion, we observe many fragmentations regarding the teaching of mathematics, because when analyzing the productions, we found that the quadric surfaces were not connected to any other concept / content, but was worked individually. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-07-21 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/9053 10.26571/reamec.v7i3.9053 |
url |
https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/9053 |
identifier_str_mv |
10.26571/reamec.v7i3.9053 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/9053/pdf https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/9053/8934 https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/9053/8933 https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/9053/8935 https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/9053/8936 https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/9053/8937 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2019 REAMEC - Rede Amazônica de Educação em Ciências e Matemática https://creativecommons.org/licenses/by-nc/4.0 info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2019 REAMEC - Rede Amazônica de Educação em Ciências e Matemática https://creativecommons.org/licenses/by-nc/4.0 |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf application/zip |
dc.publisher.none.fl_str_mv |
Universidade Federal de Mato Grosso (UFMT) |
publisher.none.fl_str_mv |
Universidade Federal de Mato Grosso (UFMT) |
dc.source.none.fl_str_mv |
REAMEC - Red Amazónica de Educación en Ciencias y Matemáticas; Vol. 7 Núm. 3 (2019): Setembro a dezembro de 2019; 37-55 REAMEC - Rede Amazônica de Educação em Ciências e Matemática; v. 7 n. 3 (2019): Setembro a dezembro de 2019; 37-55 REAMEC Journal - Amazonian Network of Mathematical Education; Vol. 7 No. 3 (2019): Setembro a dezembro de 2019; 37-55 2318-6674 reponame:Revista Reamec instname:Universidade Federal de Mato Grosso (UFMT) instacron:UFMT |
instname_str |
Universidade Federal de Mato Grosso (UFMT) |
instacron_str |
UFMT |
institution |
UFMT |
reponame_str |
Revista Reamec |
collection |
Revista Reamec |
repository.name.fl_str_mv |
Revista Reamec - Universidade Federal de Mato Grosso (UFMT) |
repository.mail.fl_str_mv |
revistareamec@gmail.com|| |
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1797174815399870464 |