Demonstrations in the Teaching of Geometry: discussions on teacher education through the use of new technologies

Detalhes bibliográficos
Autor(a) principal: Ferreira, Emilia Barra
Data de Publicação: 2009
Outros Autores: Soares, Adriana Benevides, Lima, Josefino Cabral
Tipo de documento: Artigo
Idioma: por
Título da fonte: Bolema: Boletim de Educação Matemática
Texto Completo: https://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/3304
Resumo: This paper describes research conducted with mathematics teachers aiming to investigate the contribution of environments of dynamic geometry in their education, to encourage them to use demonstrations in the teaching of geometry. Considering demonstrations, which are by nature a key element in the construction of geometric knowledge, the proposal was that difficulties typically encountered in the necessary passage from empirical knowledge to formal knowledge, can be minimized or overcome through work in environments that allow experimentation, viewing, conjecturing, generalization and demonstration, as proposed by environments of dynamic geometry. The analysis was based on studies of Piaget (1983), Van Hiele (1959) and Didactic of Mathematics (BROUSSEAU, 1986, DUVAL, 1995). Didactic engineering was developed in the proposed environment, and the results suggest that such work is an effective alternative in the process of teacher education to encourage them to use demonstrations. Keywords: Teacher Education. Demonstrations. Dynamic Geometry.
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spelling Demonstrations in the Teaching of Geometry: discussions on teacher education through the use of new technologiesAs Demonstrações no Ensino da Geometria: discussões sobre a formação de professores através do uso de novas tecnologiasFormação de Professores. Demonstrações. Geometria Dinâmica.This paper describes research conducted with mathematics teachers aiming to investigate the contribution of environments of dynamic geometry in their education, to encourage them to use demonstrations in the teaching of geometry. Considering demonstrations, which are by nature a key element in the construction of geometric knowledge, the proposal was that difficulties typically encountered in the necessary passage from empirical knowledge to formal knowledge, can be minimized or overcome through work in environments that allow experimentation, viewing, conjecturing, generalization and demonstration, as proposed by environments of dynamic geometry. The analysis was based on studies of Piaget (1983), Van Hiele (1959) and Didactic of Mathematics (BROUSSEAU, 1986, DUVAL, 1995). Didactic engineering was developed in the proposed environment, and the results suggest that such work is an effective alternative in the process of teacher education to encourage them to use demonstrations. Keywords: Teacher Education. Demonstrations. Dynamic Geometry.Este trabalho descreve uma pesquisa realizada junto a professores de Matemática objetivando investigar a contribuição dos ambientes de geometria dinâmica em sua formação, no sentido de incentivá-los ao uso das demonstrações no ensino da Geometria. Considerando-se as demonstrações, pela própria natureza da Matemática, elemento fundamental na construção do conhecimento geométrico, a proposta foi que dificuldades, geralmente encontradas na necessária passagem do conhecimento de natureza empírica àquele de natureza formal, podem ser minimizadas ou superadas através de trabalho em ambientes que possibilitem o experimentar, visualizar, conjecturar, generalizar e demonstrar, como propõem os ambientes de geometria dinâmica. A análise feita baseouse em estudos de Piaget (1983), de Van Hiele (1959) e da Didática da Matemática (BROUSSEAU, 1986, DUVAl, 1995). Desenvolveu-se uma engenharia didática no ambiente proposto e os resultados sugerem que tal trabalho se constitui numa alternativa eficiente no processo de formação de professores no sentido de incentivá-los ao uso das demonstrações. Palavras-chave: Formação de Professores. Demonstrações. Geometria Dinâmica.UNESP - Campus de Rio Claro - Instituto de Geociências e Ciências Exatas2009-12-21info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/3304Bolema: Boletim de Educação Matemática; v. 22 n. 34 (2009); 185-2071980-44150103-636Xreponame:Bolema: Boletim de Educação Matemáticainstname:Universidade Estadual Paulista (UNESP)instacron:UNESPporhttps://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/3304/2785Ferreira, Emilia BarraSoares, Adriana BenevidesLima, Josefino Cabralinfo:eu-repo/semantics/openAccess2015-09-24T00:54:10Zoai:periodicos.rc.biblioteca.unesp.br:article/3304Revistahttps://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/PUBhttps://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/oaibolema.contato@gmail.com||romiarka@gmail.com1980-44150103-636Xopendoar:2015-09-24T00:54:10Bolema: Boletim de Educação Matemática - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Demonstrations in the Teaching of Geometry: discussions on teacher education through the use of new technologies
As Demonstrações no Ensino da Geometria: discussões sobre a formação de professores através do uso de novas tecnologias
title Demonstrations in the Teaching of Geometry: discussions on teacher education through the use of new technologies
spellingShingle Demonstrations in the Teaching of Geometry: discussions on teacher education through the use of new technologies
Ferreira, Emilia Barra
Formação de Professores. Demonstrações. Geometria Dinâmica.
title_short Demonstrations in the Teaching of Geometry: discussions on teacher education through the use of new technologies
title_full Demonstrations in the Teaching of Geometry: discussions on teacher education through the use of new technologies
title_fullStr Demonstrations in the Teaching of Geometry: discussions on teacher education through the use of new technologies
title_full_unstemmed Demonstrations in the Teaching of Geometry: discussions on teacher education through the use of new technologies
title_sort Demonstrations in the Teaching of Geometry: discussions on teacher education through the use of new technologies
author Ferreira, Emilia Barra
author_facet Ferreira, Emilia Barra
Soares, Adriana Benevides
Lima, Josefino Cabral
author_role author
author2 Soares, Adriana Benevides
Lima, Josefino Cabral
author2_role author
author
dc.contributor.author.fl_str_mv Ferreira, Emilia Barra
Soares, Adriana Benevides
Lima, Josefino Cabral
dc.subject.por.fl_str_mv Formação de Professores. Demonstrações. Geometria Dinâmica.
topic Formação de Professores. Demonstrações. Geometria Dinâmica.
description This paper describes research conducted with mathematics teachers aiming to investigate the contribution of environments of dynamic geometry in their education, to encourage them to use demonstrations in the teaching of geometry. Considering demonstrations, which are by nature a key element in the construction of geometric knowledge, the proposal was that difficulties typically encountered in the necessary passage from empirical knowledge to formal knowledge, can be minimized or overcome through work in environments that allow experimentation, viewing, conjecturing, generalization and demonstration, as proposed by environments of dynamic geometry. The analysis was based on studies of Piaget (1983), Van Hiele (1959) and Didactic of Mathematics (BROUSSEAU, 1986, DUVAL, 1995). Didactic engineering was developed in the proposed environment, and the results suggest that such work is an effective alternative in the process of teacher education to encourage them to use demonstrations. Keywords: Teacher Education. Demonstrations. Dynamic Geometry.
publishDate 2009
dc.date.none.fl_str_mv 2009-12-21
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://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/3304
url https://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/3304
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/3304/2785
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv UNESP - Campus de Rio Claro - Instituto de Geociências e Ciências Exatas
publisher.none.fl_str_mv UNESP - Campus de Rio Claro - Instituto de Geociências e Ciências Exatas
dc.source.none.fl_str_mv Bolema: Boletim de Educação Matemática; v. 22 n. 34 (2009); 185-207
1980-4415
0103-636X
reponame:Bolema: Boletim de Educação Matemática
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Bolema: Boletim de Educação Matemática
collection Bolema: Boletim de Educação Matemática
repository.name.fl_str_mv Bolema: Boletim de Educação Matemática - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv bolema.contato@gmail.com||romiarka@gmail.com
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