Abordagens diversificadas para o ensino dos poliedros de Platão
Autor(a) principal: | |
---|---|
Data de Publicação: | 2018 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Manancial - Repositório Digital da UFSM |
Texto Completo: | http://repositorio.ufsm.br/handle/1/16105 |
Resumo: | In this research we aimed to offer students the knowledge of the existence of only five types of regular Plato’s polyhedra, through formal demonstration and practical work of construction of these polyhedra. We presented a part of the history which involves these solid objects, comprehended how the polyhedra are addressed in Brazilian legislation in what regards to Math teaching, defined the concept of polyhedron, presented the Euler’s Relation, pointed the difference between platonic polyhedra and regular polyhedra, as approached by the textbook used in class, and defined the duality of the polyhedra. The practical work consisted of a didactic intervention in classroom, in which the textbook explanations were used with the students and complemented with demonstration and the help of concrete material, as wooden sticks and play dough, as well as folds. This paper has also been developed by using Uma Pletora de Poliedros software that allowed students to know various types of polyhedra and to get acquainted with its elements, by rotating, translating, enlarging, reducing and visualizing faces, edges and vertices of the polyhedra. This research has led us to the comprehension of the importance of the articulation between theoretical and practical work, as it facilitates in a significant way the teaching-learning process of the students. |
id |
UFSM_a6ea30ef7da84aee03940a06abfe6c25 |
---|---|
oai_identifier_str |
oai:repositorio.ufsm.br:1/16105 |
network_acronym_str |
UFSM |
network_name_str |
Manancial - Repositório Digital da UFSM |
repository_id_str |
|
spelling |
Abordagens diversificadas para o ensino dos poliedros de PlatãoDiversified approaches for the teaching of Plato’s polyhedraPoliedros regularesPoliedros de PlatãoRelação de EulerEnsinoRegular polyhedraPlato’s polyhedraEuler’s relationTeachingCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICAIn this research we aimed to offer students the knowledge of the existence of only five types of regular Plato’s polyhedra, through formal demonstration and practical work of construction of these polyhedra. We presented a part of the history which involves these solid objects, comprehended how the polyhedra are addressed in Brazilian legislation in what regards to Math teaching, defined the concept of polyhedron, presented the Euler’s Relation, pointed the difference between platonic polyhedra and regular polyhedra, as approached by the textbook used in class, and defined the duality of the polyhedra. The practical work consisted of a didactic intervention in classroom, in which the textbook explanations were used with the students and complemented with demonstration and the help of concrete material, as wooden sticks and play dough, as well as folds. This paper has also been developed by using Uma Pletora de Poliedros software that allowed students to know various types of polyhedra and to get acquainted with its elements, by rotating, translating, enlarging, reducing and visualizing faces, edges and vertices of the polyhedra. This research has led us to the comprehension of the importance of the articulation between theoretical and practical work, as it facilitates in a significant way the teaching-learning process of the students.Nesta pesquisa tivemos como objetivo proporcionar aos alunos o conhecimento da existência de somente cinco classes de poliedros de Platão, por meio de demonstração formal e trabalho prático de construção desses poliedros. Apresentamos um pouco da história que envolve esses objetos sólidos, compreendemos como os poliedros são abordados na legislação brasileira referente ao ensino de matemática, definimos o conceito de poliedro, apresentamos a Relação de Euler, a diferença entre os poliedros platônicos e os poliedros regulares, abordada pelo livro didático utilizado nas aulas, e definimos a dualidade dos poliedros. O trabalho prático consistiu de uma intervenção didática em sala de aula em que se fez uso das explicações presentes no livro didático utilizado com os alunos, as quais foram complementadas com demonstrações e auxílio de material concreto, como palitos e massa de modelar, bem como dobraduras. Este trabalho também foi desenvolvido utilizando o software Uma Pletora de Poliedros que possibilitou aos alunos o conhecimento de diversos tipos de poliedros e a familiarização com seus elementos, mediante rotação, translação, ampliação, redução e visualização de faces, arestas e vértices dos poliedros. Esta pesquisa levou-nos à compreensão da importância de se articular o trabalho teórico com o prático, pois facilita de forma significativa o processo de ensino-aprendizagem dos alunos.Universidade Federal de Santa MariaBrasilMatemáticaUFSMPrograma de Pós-Graduação em Matemática em Rede NacionalCentro de Ciências Naturais e ExatasGomes, Denilsonhttp://lattes.cnpq.br/8116912195059700Meneghetti, Cinthya Maria Schneiderhttp://lattes.cnpq.br/9380317334360530Lazzarin, João Robertohttp://lattes.cnpq.br/6965026304626005Radin, Leandro Duarte2019-04-09T11:40:12Z2019-04-09T11:40:12Z2018-08-24info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisapplication/pdfhttp://repositorio.ufsm.br/handle/1/16105porAttribution-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:UFSM2019-04-10T06:01:34Zoai:repositorio.ufsm.br:1/16105Biblioteca Digital de Teses e Dissertaçõeshttps://repositorio.ufsm.br/ONGhttps://repositorio.ufsm.br/oai/requestatendimento.sib@ufsm.br||tedebc@gmail.comopendoar:2019-04-10T06:01:34Manancial - Repositório Digital da UFSM - Universidade Federal de Santa Maria (UFSM)false |
dc.title.none.fl_str_mv |
Abordagens diversificadas para o ensino dos poliedros de Platão Diversified approaches for the teaching of Plato’s polyhedra |
title |
Abordagens diversificadas para o ensino dos poliedros de Platão |
spellingShingle |
Abordagens diversificadas para o ensino dos poliedros de Platão Radin, Leandro Duarte Poliedros regulares Poliedros de Platão Relação de Euler Ensino Regular polyhedra Plato’s polyhedra Euler’s relation Teaching CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
title_short |
Abordagens diversificadas para o ensino dos poliedros de Platão |
title_full |
Abordagens diversificadas para o ensino dos poliedros de Platão |
title_fullStr |
Abordagens diversificadas para o ensino dos poliedros de Platão |
title_full_unstemmed |
Abordagens diversificadas para o ensino dos poliedros de Platão |
title_sort |
Abordagens diversificadas para o ensino dos poliedros de Platão |
author |
Radin, Leandro Duarte |
author_facet |
Radin, Leandro Duarte |
author_role |
author |
dc.contributor.none.fl_str_mv |
Gomes, Denilson http://lattes.cnpq.br/8116912195059700 Meneghetti, Cinthya Maria Schneider http://lattes.cnpq.br/9380317334360530 Lazzarin, João Roberto http://lattes.cnpq.br/6965026304626005 |
dc.contributor.author.fl_str_mv |
Radin, Leandro Duarte |
dc.subject.por.fl_str_mv |
Poliedros regulares Poliedros de Platão Relação de Euler Ensino Regular polyhedra Plato’s polyhedra Euler’s relation Teaching CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
topic |
Poliedros regulares Poliedros de Platão Relação de Euler Ensino Regular polyhedra Plato’s polyhedra Euler’s relation Teaching CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
description |
In this research we aimed to offer students the knowledge of the existence of only five types of regular Plato’s polyhedra, through formal demonstration and practical work of construction of these polyhedra. We presented a part of the history which involves these solid objects, comprehended how the polyhedra are addressed in Brazilian legislation in what regards to Math teaching, defined the concept of polyhedron, presented the Euler’s Relation, pointed the difference between platonic polyhedra and regular polyhedra, as approached by the textbook used in class, and defined the duality of the polyhedra. The practical work consisted of a didactic intervention in classroom, in which the textbook explanations were used with the students and complemented with demonstration and the help of concrete material, as wooden sticks and play dough, as well as folds. This paper has also been developed by using Uma Pletora de Poliedros software that allowed students to know various types of polyhedra and to get acquainted with its elements, by rotating, translating, enlarging, reducing and visualizing faces, edges and vertices of the polyhedra. This research has led us to the comprehension of the importance of the articulation between theoretical and practical work, as it facilitates in a significant way the teaching-learning process of the students. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-08-24 2019-04-09T11:40:12Z 2019-04-09T11:40:12Z |
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/1/16105 |
url |
http://repositorio.ufsm.br/handle/1/16105 |
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 |
_version_ |
1805922027628920832 |