Contributions of Didactic Engineering and the technique of tiling in the development of a course aimed at undergraduate students in Mathematics
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | , |
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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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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1797052750940340224 |