Contributions of Didactic Engineering and the technique of tiling in the development of a course aimed at undergraduate students in Mathematics

Detalhes bibliográficos
Autor(a) principal: Martins, Josiane Martins
Data de Publicação: 2021
Outros Autores: Ferreira, Cristiano Corrêa, Junqueira , Sonia Maria da Silva
Tipo de documento: Artigo
Idioma: por
Título da fonte: Research, Society and Development
Texto Completo: https://rsdjournal.org/index.php/rsd/article/view/16865
Resumo: This work is an excerpt from a master's research that is linked to the project entitled “Mathematical and Interdisciplinary Investigations in Learning Projects”. This research reports the development of a course conceived during the COVID19 pandemic and, for this reason, structured in a virtual environment, with remote activities in Geogebra Book software and synchronous in Google Meet. The purpose of the course is to encourage ways to explore principles and generalization of patterns from the composition of polygons in the plane through the technique of tiling. The target audience is academics from the undergraduate mathematics course enrolled in the sixth semester of the course. The objective of the article is to analyze the performance of 2 academics when submitted to a tiling activity through a didactic engineering. The theoretical-methodological-conceptual conception is Didactic Engineering, through which the following phases were developed: previous analyses; design and a priori analysis; experimentation, a posteriori analysis and validation. The results showed that E.D. contributed to the expansion and construction of geometric mathematical knowledge, as it was possible to detect that academics understand in a contextualized way the relationship between elements of a regular polygon and their application in the tiling technique, as well as being able to make conjectures and generalizations representable through of statements and formulas.
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spelling Contributions of Didactic Engineering and the technique of tiling in the development of a course aimed at undergraduate students in Mathematics Aportes de la Ingeniería Didáctica y la técnica del alicatado en el desarrollo de un curso dirigido a estudiantes de pregrado en MatematicasContribuições da Engenharia Didática e da técnica de ladrilhamento no desenvolvimento de um curso direcionado para acadêmicos de Licenciatura em MatemáticaDidactic EngineeringPlane GeometryTilesRegular polygons.Ingeniería DidácticaGeometria planaLosasPolígonos regulares.Engenharia DidáticaGeometria PlanaLadrilhamentoPolígonos regulares. This work is an excerpt from a master's research that is linked to the project entitled “Mathematical and Interdisciplinary Investigations in Learning Projects”. This research reports the development of a course conceived during the COVID19 pandemic and, for this reason, structured in a virtual environment, with remote activities in Geogebra Book software and synchronous in Google Meet. The purpose of the course is to encourage ways to explore principles and generalization of patterns from the composition of polygons in the plane through the technique of tiling. The target audience is academics from the undergraduate mathematics course enrolled in the sixth semester of the course. The objective of the article is to analyze the performance of 2 academics when submitted to a tiling activity through a didactic engineering. The theoretical-methodological-conceptual conception is Didactic Engineering, through which the following phases were developed: previous analyses; design and a priori analysis; experimentation, a posteriori analysis and validation. The results showed that E.D. contributed to the expansion and construction of geometric mathematical knowledge, as it was possible to detect that academics understand in a contextualized way the relationship between elements of a regular polygon and their application in the tiling technique, as well as being able to make conjectures and generalizations representable through of statements and formulas.Este trabajo es un extracto de una investigación de maestría que está vinculada al proyecto titulado “Investigaciones matemáticas e interdisciplinarias en proyectos de aprendizaje”. Esta investigación reporta el desarrollo de un curso concebido durante la pandemia COVID19 y, por tal motivo, estructurado en un entorno virtual, con actividades remotas en el software Geogebra Book y sincrónicas en Google Meet. El propósito del curso es fomentar formas de explorar principios y generalización de patrones a partir de la composición de polígonos en el plano a través de la técnica del mosaico. El público objetivo son los académicos del curso de matemáticas de pregrado matriculados en el sexto semestre del curso. El objetivo del artículo es analizar el desempeño de 2 académicos sometidos a una actividad de mosaico mediante una ingeniería didáctica. La concepción teórico-metodológica-conceptual es la Ingeniería Didáctica, a través de la cual se desarrollaron las siguientes fases: análisis previos; diseño y análisis a priori; experimentación, análisis a posteriori y validación. Los resultados mostraron que E.D. contribuyó a la expansión y construcción del conocimiento matemático geométrico, ya que fue posible detectar que los académicos comprenden de manera contextualizada la relación entre elementos de un polígono regular y su aplicación en la técnica del mosaico, además de poder hacer conjeturas y generalizaciones representable a través de declaraciones y fórmulas.Este trabalho é um recorte de uma pesquisa de mestrado que está vinculado ao projeto intitulado “ Investigações Matemáticas e Interdisciplinares em Projetos de Aprendizagens”. A presente pesquisa relata o desenvolvimento de um curso concebido durante a pandemia COVID19 e, por esse motivo, estruturado em ambiente virtual, com atividades remotas no software Geogebra Book e síncronas no Google Meet. O propósito do curso é de estimular formas de explorar princípios e generalização de padrões a partir da composição de polígonos no plano por meio da técnica do ladrilhamento. O público alvo são acadêmicos do curso de matemática-licenciatura matriculados no sexto semestre do curso. O objetivo do artigo é analisar a performance de 2 acadêmicos quando submetidos a uma atividade de ladrilhamento por meio de uma engenharia didática. A concepção teórica-metodológica-conceitual é a Engenharia Didática, por meio da qual foram desenvolvidas as seguintes fases: análises prévias; concepção e análise a priori; experimentação, análise a posteriori e validação. Os resultados mostraram que a E.D. contribuiu para a ampliação e construção de conhecimento matemático geométrico, pois foi possível detectar que os acadêmicos compreendem de forma contextualizada a relação entre elementos de um polígono regular e sua aplicação na técnica de ladrilhamentos, assim como foram capazes de realizar conjecturas e generalizações representáveis por meio de afirmações e fórmulas.Research, Society and Development2021-06-28info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://rsdjournal.org/index.php/rsd/article/view/1686510.33448/rsd-v10i7.16865Research, Society and Development; Vol. 10 No. 7; e44710716865Research, Society and Development; Vol. 10 Núm. 7; e44710716865Research, Society and Development; v. 10 n. 7; e447107168652525-3409reponame:Research, Society and Developmentinstname:Universidade Federal de Itajubá (UNIFEI)instacron:UNIFEIporhttps://rsdjournal.org/index.php/rsd/article/view/16865/15008Copyright (c) 2021 Josiane Martins Martins; Cristiano Corrêa Ferreira; Sonia Maria da Silva Junqueira https://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessMartins, Josiane MartinsFerreira, Cristiano Corrêa Junqueira , Sonia Maria da Silva 2021-07-18T21:07:03Zoai:ojs.pkp.sfu.ca:article/16865Revistahttps://rsdjournal.org/index.php/rsd/indexPUBhttps://rsdjournal.org/index.php/rsd/oairsd.articles@gmail.com2525-34092525-3409opendoar:2024-01-17T09:37:18.306743Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)false
dc.title.none.fl_str_mv Contributions of Didactic Engineering and the technique of tiling in the development of a course aimed at undergraduate students in Mathematics
Aportes de la Ingeniería Didáctica y la técnica del alicatado en el desarrollo de un curso dirigido a estudiantes de pregrado en Matematicas
Contribuições da Engenharia Didática e da técnica de ladrilhamento no desenvolvimento de um curso direcionado para acadêmicos de Licenciatura em Matemática
title Contributions of Didactic Engineering and the technique of tiling in the development of a course aimed at undergraduate students in Mathematics
spellingShingle Contributions of Didactic Engineering and the technique of tiling in the development of a course aimed at undergraduate students in Mathematics
Martins, Josiane Martins
Didactic Engineering
Plane Geometry
Tiles
Regular polygons.
Ingeniería Didáctica
Geometria plana
Losas
Polígonos regulares.
Engenharia Didática
Geometria Plana
Ladrilhamento
Polígonos regulares.
title_short Contributions of Didactic Engineering and the technique of tiling in the development of a course aimed at undergraduate students in Mathematics
title_full Contributions of Didactic Engineering and the technique of tiling in the development of a course aimed at undergraduate students in Mathematics
title_fullStr Contributions of Didactic Engineering and the technique of tiling in the development of a course aimed at undergraduate students in Mathematics
title_full_unstemmed Contributions of Didactic Engineering and the technique of tiling in the development of a course aimed at undergraduate students in Mathematics
title_sort Contributions of Didactic Engineering and the technique of tiling in the development of a course aimed at undergraduate students in Mathematics
author Martins, Josiane Martins
author_facet Martins, Josiane Martins
Ferreira, Cristiano Corrêa
Junqueira , Sonia Maria da Silva
author_role author
author2 Ferreira, Cristiano Corrêa
Junqueira , Sonia Maria da Silva
author2_role author
author
dc.contributor.author.fl_str_mv Martins, Josiane Martins
Ferreira, Cristiano Corrêa
Junqueira , Sonia Maria da Silva
dc.subject.por.fl_str_mv Didactic Engineering
Plane Geometry
Tiles
Regular polygons.
Ingeniería Didáctica
Geometria plana
Losas
Polígonos regulares.
Engenharia Didática
Geometria Plana
Ladrilhamento
Polígonos regulares.
topic Didactic Engineering
Plane Geometry
Tiles
Regular polygons.
Ingeniería Didáctica
Geometria plana
Losas
Polígonos regulares.
Engenharia Didática
Geometria Plana
Ladrilhamento
Polígonos regulares.
description This work is an excerpt from a master's research that is linked to the project entitled “Mathematical and Interdisciplinary Investigations in Learning Projects”. This research reports the development of a course conceived during the COVID19 pandemic and, for this reason, structured in a virtual environment, with remote activities in Geogebra Book software and synchronous in Google Meet. The purpose of the course is to encourage ways to explore principles and generalization of patterns from the composition of polygons in the plane through the technique of tiling. The target audience is academics from the undergraduate mathematics course enrolled in the sixth semester of the course. The objective of the article is to analyze the performance of 2 academics when submitted to a tiling activity through a didactic engineering. The theoretical-methodological-conceptual conception is Didactic Engineering, through which the following phases were developed: previous analyses; design and a priori analysis; experimentation, a posteriori analysis and validation. The results showed that E.D. contributed to the expansion and construction of geometric mathematical knowledge, as it was possible to detect that academics understand in a contextualized way the relationship between elements of a regular polygon and their application in the tiling technique, as well as being able to make conjectures and generalizations representable through of statements and formulas.
publishDate 2021
dc.date.none.fl_str_mv 2021-06-28
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/16865
10.33448/rsd-v10i7.16865
url https://rsdjournal.org/index.php/rsd/article/view/16865
identifier_str_mv 10.33448/rsd-v10i7.16865
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://rsdjournal.org/index.php/rsd/article/view/16865/15008
dc.rights.driver.fl_str_mv https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv 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. 10 No. 7; e44710716865
Research, Society and Development; Vol. 10 Núm. 7; e44710716865
Research, Society and Development; v. 10 n. 7; e44710716865
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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