Tasks and teachers’ justifications in virtual, collaborative, dynamic geometry environments

Detalhes bibliográficos
Autor(a) principal: Powell, Arthur Belford
Data de Publicação: 2016
Outros Autores: Pazuch, Vinícius
Tipo de documento: Artigo
Idioma: por
Título da fonte: Zetetiké (Online)
Texto Completo: https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8646517
Resumo: In this article, we reflect on how mathematics teachers build geometric justifications based on geometricrelations and properties as they solve a task about quadrilaterals and their angle bisectors, all within the onlineenvironment, Virtual Math Teams with GeoGebra (VMTwG). The teachers, participants in a continuingeducation project with digital technologies, work collaboratively in small teams to construct geometric figures and solve geometric problems. Given a sequence of tasks designed for discussion and resolution within acollaborative online environment, we analyze how three teachers collaboratively and discursively construct theoretical justifications based on their own conjectures and perceptions of relations among geometric objects,without the use of measurement. These theoretical justifications and the conditions in which it manifestedgenerate implications for mathematics teacher education and for teachers’ classroom practice.
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spelling Tasks and teachers’ justifications in virtual, collaborative, dynamic geometry environments Tarefas e justificativas de professores em ambientes virtuais colaborativos de geometria dinâmicaGeometric relationsTheoretical justificationsDigital technologiesDynamic geometryPre- and inservice teacher educationRelações geométricas Justificações dedutivasTecnologias digitaisGeometria dinâmicaIn this article, we reflect on how mathematics teachers build geometric justifications based on geometricrelations and properties as they solve a task about quadrilaterals and their angle bisectors, all within the onlineenvironment, Virtual Math Teams with GeoGebra (VMTwG). The teachers, participants in a continuingeducation project with digital technologies, work collaboratively in small teams to construct geometric figures and solve geometric problems. Given a sequence of tasks designed for discussion and resolution within acollaborative online environment, we analyze how three teachers collaboratively and discursively construct theoretical justifications based on their own conjectures and perceptions of relations among geometric objects,without the use of measurement. These theoretical justifications and the conditions in which it manifestedgenerate implications for mathematics teacher education and for teachers’ classroom practice.Neste artigo, refletimos como professores que ensinam matemática constroem justificações geométricas usando relações e propriedades e como esses resolvem uma tarefa sobre quadriláteros e suas bissetrizes no ambiente VMTcG. Os professores são participantes do projeto de formação continuada com tecnologias digitais, trabalham em pequenas equipes colaborativamente para construir figuras geométricas e resolver problemas geométricos. Dada uma sequência de tarefas elaboradas para colaboração em um ambiente virtual colaborativo, analisamos como três professores colaborativamente e discursivamente construíram justificações dedutivas com base em suas próprias conjecturas e percepções de relações entre objetos geométricos, sem o uso de medidas. Esse resultado e as condições em que ele foi realizado geram implicações para a Educação Matemática de professores e para a prática docente deles.Universidade Estadual de Campinas2016-09-22info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionTextoinfo:eu-repo/semantics/otherapplication/pdfhttps://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/864651710.20396/zet.v24i2.8646517Zetetike; Vol. 24 No. 2 (2016): maio/ago. [46]; 191-207Zetetike; Vol. 24 Núm. 2 (2016): maio/ago. [46]; 191-207Zetetike; v. 24 n. 2 (2016): maio/ago. [46]; 191-2072176-1744reponame:Zetetiké (Online)instname:Universidade Estadual de Campinas (UNICAMP)instacron:UNICAMPporhttps://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8646517/13417Brazil; ContemporaryBrasil; ContemporâneoCopyright (c) 2016 Zetetiké: Revista de Educação Matemáticahttps://creativecommons.org/licenses/by-nc-nd/4.0info:eu-repo/semantics/openAccessPowell, Arthur BelfordPazuch, Vinícius2023-12-12T13:20:26Zoai:ojs.periodicos.sbu.unicamp.br:article/8646517Revistahttp://www.fe.unicamp.br/zetetike/PUBhttps://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/oaizetetike@unicamp.br2176-17440104-4877opendoar:2023-12-12T13:20:26Zetetiké (Online) - Universidade Estadual de Campinas (UNICAMP)false
dc.title.none.fl_str_mv Tasks and teachers’ justifications in virtual, collaborative, dynamic geometry environments
Tarefas e justificativas de professores em ambientes virtuais colaborativos de geometria dinâmica
title Tasks and teachers’ justifications in virtual, collaborative, dynamic geometry environments
spellingShingle Tasks and teachers’ justifications in virtual, collaborative, dynamic geometry environments
Powell, Arthur Belford
Geometric relations
Theoretical justifications
Digital technologies
Dynamic geometry
Pre- and inservice teacher education
Relações geométricas
Justificações dedutivas
Tecnologias digitais
Geometria dinâmica
title_short Tasks and teachers’ justifications in virtual, collaborative, dynamic geometry environments
title_full Tasks and teachers’ justifications in virtual, collaborative, dynamic geometry environments
title_fullStr Tasks and teachers’ justifications in virtual, collaborative, dynamic geometry environments
title_full_unstemmed Tasks and teachers’ justifications in virtual, collaborative, dynamic geometry environments
title_sort Tasks and teachers’ justifications in virtual, collaborative, dynamic geometry environments
author Powell, Arthur Belford
author_facet Powell, Arthur Belford
Pazuch, Vinícius
author_role author
author2 Pazuch, Vinícius
author2_role author
dc.contributor.author.fl_str_mv Powell, Arthur Belford
Pazuch, Vinícius
dc.subject.por.fl_str_mv Geometric relations
Theoretical justifications
Digital technologies
Dynamic geometry
Pre- and inservice teacher education
Relações geométricas
Justificações dedutivas
Tecnologias digitais
Geometria dinâmica
topic Geometric relations
Theoretical justifications
Digital technologies
Dynamic geometry
Pre- and inservice teacher education
Relações geométricas
Justificações dedutivas
Tecnologias digitais
Geometria dinâmica
description In this article, we reflect on how mathematics teachers build geometric justifications based on geometricrelations and properties as they solve a task about quadrilaterals and their angle bisectors, all within the onlineenvironment, Virtual Math Teams with GeoGebra (VMTwG). The teachers, participants in a continuingeducation project with digital technologies, work collaboratively in small teams to construct geometric figures and solve geometric problems. Given a sequence of tasks designed for discussion and resolution within acollaborative online environment, we analyze how three teachers collaboratively and discursively construct theoretical justifications based on their own conjectures and perceptions of relations among geometric objects,without the use of measurement. These theoretical justifications and the conditions in which it manifestedgenerate implications for mathematics teacher education and for teachers’ classroom practice.
publishDate 2016
dc.date.none.fl_str_mv 2016-09-22
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Texto
info:eu-repo/semantics/other
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8646517
10.20396/zet.v24i2.8646517
url https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8646517
identifier_str_mv 10.20396/zet.v24i2.8646517
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8646517/13417
dc.rights.driver.fl_str_mv Copyright (c) 2016 Zetetiké: Revista de Educação Matemática
https://creativecommons.org/licenses/by-nc-nd/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2016 Zetetiké: Revista de Educação Matemática
https://creativecommons.org/licenses/by-nc-nd/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.coverage.none.fl_str_mv Brazil; Contemporary
Brasil; Contemporâneo
dc.publisher.none.fl_str_mv Universidade Estadual de Campinas
publisher.none.fl_str_mv Universidade Estadual de Campinas
dc.source.none.fl_str_mv Zetetike; Vol. 24 No. 2 (2016): maio/ago. [46]; 191-207
Zetetike; Vol. 24 Núm. 2 (2016): maio/ago. [46]; 191-207
Zetetike; v. 24 n. 2 (2016): maio/ago. [46]; 191-207
2176-1744
reponame:Zetetiké (Online)
instname:Universidade Estadual de Campinas (UNICAMP)
instacron:UNICAMP
instname_str Universidade Estadual de Campinas (UNICAMP)
instacron_str UNICAMP
institution UNICAMP
reponame_str Zetetiké (Online)
collection Zetetiké (Online)
repository.name.fl_str_mv Zetetiké (Online) - Universidade Estadual de Campinas (UNICAMP)
repository.mail.fl_str_mv zetetike@unicamp.br
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