Ensino das cônicas no plano usando isometrias e homotetias no GeoGebra

Detalhes bibliográficos
Ano de defesa: 2023
Autor(a) principal: Oliveira, Alfredo Luiz Chaves de
Orientador(a): Melo, Marcelo Ferreira de
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Não Informado pela instituição
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Palavras-chave em Português:
Link de acesso: http://www.repositorio.ufc.br/handle/riufc/72545
Resumo: Analytical geometry is losing steam on the classroom floor every year. Entrance exams used to bring, in a more forceful way, questions of geometry, but, with the unification of the test at the national level, several contents no longer appear in the editions of the contests that select students to enter public universities. The teaching of conics, then, has been neglected by many other contents considered more present in the Exam National High School (ENEM). And with the reform of secondary education, the so-called new secondary education, with several subjects losing their workload for training itineraries, analytical geometry is practically being forgotten by the new textbooks. Realizing this serious lack in the formation of our young people, I decided to present a work that rescued the teaching of conics, but with a new approach, softening the analytical part with the use of the dynamic geometry application geogebra. In the school's computer lab, we intend to present conics to our students in a more playful way, associating the geometric part with its respective analytical part through the computer screen and not just in the scribbles on the whiteboard. The tool that will allow this new approach are the isometries and homotheties, bringing important concepts in the general formation of the student body such as vectors, translations, reflections, proportionality, similarity ratio, finally using the available technology in favor of education.
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spelling Oliveira, Alfredo Luiz Chaves deMelo, Marcelo Ferreira de2023-05-29T11:52:13Z2023-05-29T11:52:13Z2023OLIVEIRA, Alfredo Luiz Chaves de. Ensino das cônicas no plano usando isometrias e homotetias no GeoGebra. 2023. 53 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Centro de Ciências, Departamento de Matemática, Universidade Federal do Ceará, Fortaleza, 2023.http://www.repositorio.ufc.br/handle/riufc/72545Analytical geometry is losing steam on the classroom floor every year. Entrance exams used to bring, in a more forceful way, questions of geometry, but, with the unification of the test at the national level, several contents no longer appear in the editions of the contests that select students to enter public universities. The teaching of conics, then, has been neglected by many other contents considered more present in the Exam National High School (ENEM). And with the reform of secondary education, the so-called new secondary education, with several subjects losing their workload for training itineraries, analytical geometry is practically being forgotten by the new textbooks. Realizing this serious lack in the formation of our young people, I decided to present a work that rescued the teaching of conics, but with a new approach, softening the analytical part with the use of the dynamic geometry application geogebra. In the school's computer lab, we intend to present conics to our students in a more playful way, associating the geometric part with its respective analytical part through the computer screen and not just in the scribbles on the whiteboard. The tool that will allow this new approach are the isometries and homotheties, bringing important concepts in the general formation of the student body such as vectors, translations, reflections, proportionality, similarity ratio, finally using the available technology in favor of education.A geometria analítica está perdendo forças no chão da sala de aula a cada ano. Os vestibulares costumavam trazer, de forma mais contundente, questões de geometria, mas, com a unificação da prova a nível nacional, vários conteúdos deixaram de figurar nas edições dos certames que selecionam os alunos ao ingresso nas universidades públicas. O ensino das cônicas, então, vem sendo preterido por muitos outros conteúdos considerados mais presentes no Exame Nacional do Ensino Médio (ENEM). E com a reforma do ensino médio, o chamado novo ensino médio, com várias disciplinas perdendo carga horária para os itinerários formativos, a geometria analítica praticamente está sendo esquecida pelos novos livros didáticos. Percebendo esta falta grave na formação dos nossos jovens, resolvi apresentar um trabalho que resgatasse o ensino das cônicas, porém com uma nova abordagem, suavizando a parte analítica com o uso do aplicativo de geometria dinâmico geogebra. No laboratório de informática da escola, pretendemos apresentar as cônicas aos nossos alunos de forma mais lúdica, associando a parte geométrica a sua respectiva parte analítica através da tela do computador e não mais apenas nos rabiscos do quadro branco. A ferramenta que permitirá essa nova abordagem são as isometrias e homotetias, trazendo conceitos importantes na formação geral do corpo discente como o de vetores, translações, reflexões, proporcionalidade, razão de semelhança, enfim usando a tecnologia disponível a favor da educação.Geometria - Estudo e ensinoIsometria (Matemática)HomotetiaGeogebraGeometry - Study andd teachingIsometry (Mathematics)HomothetyEnsino das cônicas no plano usando isometrias e homotetias no GeoGebraTeaching conics in the plane using isometries and homotheties in GeoGebrainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisporreponame:Repositório Institucional da Universidade Federal do Ceará (UFC)instname:Universidade Federal do Ceará (UFC)instacron:UFCinfo:eu-repo/semantics/openAccessORIGINAL2023_dis_alcoliveira.pdf2023_dis_alcoliveira.pdfDissertação de Alfredo Luiz Chaves de Oliveiraapplication/pdf2075662http://repositorio.ufc.br/bitstream/riufc/72545/5/2023_dis_alcoliveira.pdfdb36d45cdb25d066de04631fec30d52dMD55LICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://repositorio.ufc.br/bitstream/riufc/72545/4/license.txt8a4605be74aa9ea9d79846c1fba20a33MD54riufc/725452023-05-29 08:53:31.142oai:repositorio.ufc.br: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Repositório InstitucionalPUBhttp://www.repositorio.ufc.br/ri-oai/requestbu@ufc.br || repositorio@ufc.bropendoar:2023-05-29T11:53:31Repositório Institucional da Universidade Federal do Ceará (UFC) - Universidade Federal do Ceará (UFC)false
dc.title.pt_BR.fl_str_mv Ensino das cônicas no plano usando isometrias e homotetias no GeoGebra
dc.title.en.pt_BR.fl_str_mv Teaching conics in the plane using isometries and homotheties in GeoGebra
title Ensino das cônicas no plano usando isometrias e homotetias no GeoGebra
spellingShingle Ensino das cônicas no plano usando isometrias e homotetias no GeoGebra
Oliveira, Alfredo Luiz Chaves de
Geometria - Estudo e ensino
Isometria (Matemática)
Homotetia
Geogebra
Geometry - Study andd teaching
Isometry (Mathematics)
Homothety
title_short Ensino das cônicas no plano usando isometrias e homotetias no GeoGebra
title_full Ensino das cônicas no plano usando isometrias e homotetias no GeoGebra
title_fullStr Ensino das cônicas no plano usando isometrias e homotetias no GeoGebra
title_full_unstemmed Ensino das cônicas no plano usando isometrias e homotetias no GeoGebra
title_sort Ensino das cônicas no plano usando isometrias e homotetias no GeoGebra
author Oliveira, Alfredo Luiz Chaves de
author_facet Oliveira, Alfredo Luiz Chaves de
author_role author
dc.contributor.author.fl_str_mv Oliveira, Alfredo Luiz Chaves de
dc.contributor.advisor1.fl_str_mv Melo, Marcelo Ferreira de
contributor_str_mv Melo, Marcelo Ferreira de
dc.subject.por.fl_str_mv Geometria - Estudo e ensino
Isometria (Matemática)
Homotetia
Geogebra
Geometry - Study andd teaching
Isometry (Mathematics)
Homothety
topic Geometria - Estudo e ensino
Isometria (Matemática)
Homotetia
Geogebra
Geometry - Study andd teaching
Isometry (Mathematics)
Homothety
description Analytical geometry is losing steam on the classroom floor every year. Entrance exams used to bring, in a more forceful way, questions of geometry, but, with the unification of the test at the national level, several contents no longer appear in the editions of the contests that select students to enter public universities. The teaching of conics, then, has been neglected by many other contents considered more present in the Exam National High School (ENEM). And with the reform of secondary education, the so-called new secondary education, with several subjects losing their workload for training itineraries, analytical geometry is practically being forgotten by the new textbooks. Realizing this serious lack in the formation of our young people, I decided to present a work that rescued the teaching of conics, but with a new approach, softening the analytical part with the use of the dynamic geometry application geogebra. In the school's computer lab, we intend to present conics to our students in a more playful way, associating the geometric part with its respective analytical part through the computer screen and not just in the scribbles on the whiteboard. The tool that will allow this new approach are the isometries and homotheties, bringing important concepts in the general formation of the student body such as vectors, translations, reflections, proportionality, similarity ratio, finally using the available technology in favor of education.
publishDate 2023
dc.date.accessioned.fl_str_mv 2023-05-29T11:52:13Z
dc.date.available.fl_str_mv 2023-05-29T11:52:13Z
dc.date.issued.fl_str_mv 2023
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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dc.identifier.citation.fl_str_mv OLIVEIRA, Alfredo Luiz Chaves de. Ensino das cônicas no plano usando isometrias e homotetias no GeoGebra. 2023. 53 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Centro de Ciências, Departamento de Matemática, Universidade Federal do Ceará, Fortaleza, 2023.
dc.identifier.uri.fl_str_mv http://www.repositorio.ufc.br/handle/riufc/72545
identifier_str_mv OLIVEIRA, Alfredo Luiz Chaves de. Ensino das cônicas no plano usando isometrias e homotetias no GeoGebra. 2023. 53 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Centro de Ciências, Departamento de Matemática, Universidade Federal do Ceará, Fortaleza, 2023.
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