The study of the Clepsydra using the Cavalieri’s Principle: a didactic experimentation in spatial geometry using the three-dimensional version of GeoGebra

Detalhes bibliográficos
Autor(a) principal: Barbosa, Nelson Machado
Data de Publicação: 2023
Outros Autores: Fontes, Gilmar Ferreira
Tipo de documento: Artigo
Idioma: por
Título da fonte: Research, Society and Development
Texto Completo: https://rsdjournal.org/index.php/rsd/article/view/40619
Resumo: This research aimed to present and analyze a didactic experiment using the three-dimensional version of GeoGebra, aiming at teaching and learning spatial geometry, in particular, the study of Clepsydra using Cavalieri's Principle, in a practical and dynamic application. The research had a qualitative character, with field research, carried out in a class of the 3rd year of high school at the Fluminense Federal Institute – IFF, located in the city of Campos dos Goytacazes, in the State of Rio de Janeiro. Didactic experimentation was based on the action-research methodology and the activities were designed with the objective of developing skills necessary for students, exploring their use in a perspective of improvement and overcoming the learning difficulties found in the studies of three-dimensional geometries. With interactive animations, the involvement between technology and mathematical learning was provided. It can be concluded that the contents exposed in a dynamic perspective, significantly facilitated the teaching and learning process in spatial geometry.
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spelling The study of the Clepsydra using the Cavalieri’s Principle: a didactic experimentation in spatial geometry using the three-dimensional version of GeoGebraEl estudio de la Clepsidra através del Princípio de Cavalieri: una experimentación didáctica en geometría espacial utilizando la versión tridimensional de GeoGebraO estudo da Clepsidra via Princípio de Cavalieri: uma experimentação didática em geometria espacial utilizando a versão tridimensional do GeoGebraInteractive animationCavalieri’s PrincipleGeoGebra.Animación interactivaPrincipio de CavalieriGeoGebra.Animação interativaPrincípio de CavalieriGeoGebraThis research aimed to present and analyze a didactic experiment using the three-dimensional version of GeoGebra, aiming at teaching and learning spatial geometry, in particular, the study of Clepsydra using Cavalieri's Principle, in a practical and dynamic application. The research had a qualitative character, with field research, carried out in a class of the 3rd year of high school at the Fluminense Federal Institute – IFF, located in the city of Campos dos Goytacazes, in the State of Rio de Janeiro. Didactic experimentation was based on the action-research methodology and the activities were designed with the objective of developing skills necessary for students, exploring their use in a perspective of improvement and overcoming the learning difficulties found in the studies of three-dimensional geometries. With interactive animations, the involvement between technology and mathematical learning was provided. It can be concluded that the contents exposed in a dynamic perspective, significantly facilitated the teaching and learning process in spatial geometry.Esta investigación tuvo como objetivo presentar y analizar un experimento didáctica utilizando la versión tridimensional de GeoGebra, con el objetivo de la enseñanza y el aprendizaje de la Geometría Espacial, en particular, el estudio de Clepsidra utilizando el Principio de Cavalieri, en una aplicación práctica y dinámica. La investigación tuvo un carácter cualitativo, con investigación de campo, realizado en una clase del 3º año de la enseñanza media del Instituto Federal Fluminense – IFF, ubicado en la ciudad de Campos dos Goytacazes, en el Estado de Río de Janeiro. La experimentación didáctica se basó en la metodología de investigación-acción, y las actividades fueron diseñadas con el objetivo de desarrollar habilidades necesarias para los estudiantes, explorando su uso en una perspectiva de superación y superando las dificultades de aprendizaje encontradas en los estudios de geometrías tridimensionales. Con animaciones interactivas se facilitó la implicación entre la tecnología y el aprendizaje matemático. Así, se puede concluir que los contenidos expuestos en una perspectiva dinámica, facilitaron significativamente el proceso de enseñanza y aprendizaje en Geometría Espacial.Esta pesquisa teve como objetivo apresentar e analisar uma experimentação didática utilizando a versão tridimensional do GeoGebra, visando o ensino e aprendizagem de Geometria Espacial, em especial, o estudo da Clepsidra via utilização do Princípio de Cavalieri, numa aplicação prática e dinâmica. A pesquisa teve caráter qualitativa, com realização de uma pesquisa de campo, realizada em uma turma do 3º ano do ensino médio do Instituto Federal Fluminense – IFF, localizado na cidade de Campos dos Goytacazes, no Estado do Rio de Janeiro. A experimentação didática baseou-se na metodologia do tipo investigação-ação, e as atividades foram elaboradas com objetivo de desenvolver competências necessárias aos alunos, explorando seu uso numa perspectiva de aperfeiçoamento e superação das dificuldades de aprendizagem encontradas nos estudos das geometrias tridimensionais. Com animações interativas, foi proporcionado o envolvimento entre a tecnologia e a aprendizagem matemática. Assim, pode-se concluir que os conteúdos expostos numa perspectiva dinâmica, facilitou de forma significativa o processo de ensino e aprendizagem em Geometria Espacial.Research, Society and Development2023-03-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://rsdjournal.org/index.php/rsd/article/view/4061910.33448/rsd-v12i3.40619Research, Society and Development; Vol. 12 No. 3; e18412340619Research, Society and Development; Vol. 12 Núm. 3; e18412340619Research, Society and Development; v. 12 n. 3; e184123406192525-3409reponame:Research, Society and Developmentinstname:Universidade Federal de Itajubá (UNIFEI)instacron:UNIFEIporhttps://rsdjournal.org/index.php/rsd/article/view/40619/33180Copyright (c) 2023 Nelson Machado Barbosa; Gilmar Ferreira Fonteshttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessBarbosa, Nelson Machado Fontes, Gilmar Ferreira2023-03-23T08:33:38Zoai:ojs.pkp.sfu.ca:article/40619Revistahttps://rsdjournal.org/index.php/rsd/indexPUBhttps://rsdjournal.org/index.php/rsd/oairsd.articles@gmail.com2525-34092525-3409opendoar:2023-03-23T08:33:38Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)false
dc.title.none.fl_str_mv The study of the Clepsydra using the Cavalieri’s Principle: a didactic experimentation in spatial geometry using the three-dimensional version of GeoGebra
El estudio de la Clepsidra através del Princípio de Cavalieri: una experimentación didáctica en geometría espacial utilizando la versión tridimensional de GeoGebra
O estudo da Clepsidra via Princípio de Cavalieri: uma experimentação didática em geometria espacial utilizando a versão tridimensional do GeoGebra
title The study of the Clepsydra using the Cavalieri’s Principle: a didactic experimentation in spatial geometry using the three-dimensional version of GeoGebra
spellingShingle The study of the Clepsydra using the Cavalieri’s Principle: a didactic experimentation in spatial geometry using the three-dimensional version of GeoGebra
Barbosa, Nelson Machado
Interactive animation
Cavalieri’s Principle
GeoGebra.
Animación interactiva
Principio de Cavalieri
GeoGebra.
Animação interativa
Princípio de Cavalieri
GeoGebra
title_short The study of the Clepsydra using the Cavalieri’s Principle: a didactic experimentation in spatial geometry using the three-dimensional version of GeoGebra
title_full The study of the Clepsydra using the Cavalieri’s Principle: a didactic experimentation in spatial geometry using the three-dimensional version of GeoGebra
title_fullStr The study of the Clepsydra using the Cavalieri’s Principle: a didactic experimentation in spatial geometry using the three-dimensional version of GeoGebra
title_full_unstemmed The study of the Clepsydra using the Cavalieri’s Principle: a didactic experimentation in spatial geometry using the three-dimensional version of GeoGebra
title_sort The study of the Clepsydra using the Cavalieri’s Principle: a didactic experimentation in spatial geometry using the three-dimensional version of GeoGebra
author Barbosa, Nelson Machado
author_facet Barbosa, Nelson Machado
Fontes, Gilmar Ferreira
author_role author
author2 Fontes, Gilmar Ferreira
author2_role author
dc.contributor.author.fl_str_mv Barbosa, Nelson Machado
Fontes, Gilmar Ferreira
dc.subject.por.fl_str_mv Interactive animation
Cavalieri’s Principle
GeoGebra.
Animación interactiva
Principio de Cavalieri
GeoGebra.
Animação interativa
Princípio de Cavalieri
GeoGebra
topic Interactive animation
Cavalieri’s Principle
GeoGebra.
Animación interactiva
Principio de Cavalieri
GeoGebra.
Animação interativa
Princípio de Cavalieri
GeoGebra
description This research aimed to present and analyze a didactic experiment using the three-dimensional version of GeoGebra, aiming at teaching and learning spatial geometry, in particular, the study of Clepsydra using Cavalieri's Principle, in a practical and dynamic application. The research had a qualitative character, with field research, carried out in a class of the 3rd year of high school at the Fluminense Federal Institute – IFF, located in the city of Campos dos Goytacazes, in the State of Rio de Janeiro. Didactic experimentation was based on the action-research methodology and the activities were designed with the objective of developing skills necessary for students, exploring their use in a perspective of improvement and overcoming the learning difficulties found in the studies of three-dimensional geometries. With interactive animations, the involvement between technology and mathematical learning was provided. It can be concluded that the contents exposed in a dynamic perspective, significantly facilitated the teaching and learning process in spatial geometry.
publishDate 2023
dc.date.none.fl_str_mv 2023-03-07
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://rsdjournal.org/index.php/rsd/article/view/40619
10.33448/rsd-v12i3.40619
url https://rsdjournal.org/index.php/rsd/article/view/40619
identifier_str_mv 10.33448/rsd-v12i3.40619
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://rsdjournal.org/index.php/rsd/article/view/40619/33180
dc.rights.driver.fl_str_mv Copyright (c) 2023 Nelson Machado Barbosa; Gilmar Ferreira Fontes
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2023 Nelson Machado Barbosa; Gilmar Ferreira Fontes
https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Research, Society and Development
publisher.none.fl_str_mv Research, Society and Development
dc.source.none.fl_str_mv Research, Society and Development; Vol. 12 No. 3; e18412340619
Research, Society and Development; Vol. 12 Núm. 3; e18412340619
Research, Society and Development; v. 12 n. 3; e18412340619
2525-3409
reponame:Research, Society and Development
instname:Universidade Federal de Itajubá (UNIFEI)
instacron:UNIFEI
instname_str Universidade Federal de Itajubá (UNIFEI)
instacron_str UNIFEI
institution UNIFEI
reponame_str Research, Society and Development
collection Research, Society and Development
repository.name.fl_str_mv Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)
repository.mail.fl_str_mv rsd.articles@gmail.com
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