An application of proportion compass in basic education education to study the proportionality theorem

Detalhes bibliográficos
Autor(a) principal: Masseno, Thalya Cristiny de Sousa
Data de Publicação: 2022
Outros Autores: Pereira, Ana Carolina Costa
Tipo de documento: Artigo
Idioma: por
Título da fonte: Research, Society and Development
Texto Completo: https://rsdjournal.org/index.php/rsd/article/view/38507
Resumo: Research focused on the history and teaching of mathematics, which allow dialogues based on their interfaces, are expanding in Brazil, mainly those developed through the study of historical mathematical instruments. Following the same perspective, this article presents an application of activity developed when studying the instrument, compass of proportion, contained in the treatise L'usage du compas de proportion published in 1631, by Didier Henrion. The objective is to show the application of the activity arising from handling and studying the historical instrument, the proportion compass, allowing to signify and re-signify the processes of geometric construction of the proportionality theorem. In which, the methodology is based on the qualitative approach, aided by group work in the application of the activity. Regarding the results, the autonomy of the students was highlighted for being able to investigate and try to solve the problem, in which it made it possible to remember concepts of parallelism, perpendicularism, line segments, straight lines, transversal lines, some even managed to identify that they were working with the theorem of proportionality. Therefore, it is concluded that from the use of lines of equal parts of the instrument compass of proportion it was possible to evidence didactic potential when studying theorem of proportionality through the process of development of the geometric design.
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spelling An application of proportion compass in basic education education to study the proportionality theoremUna aplicación del compás de proporciones en la educación básica para el estudio del teorema de la proporcionalidadUma aplicação do compasso de proporção na educação básica para o estudo do teorema de proporcionalidadeProportion compassProportionality theoremGroup work.Compás de proporcionesTeorema de proporcionalidadTrabajo en grupo.Compasso de proporçãoTeorema de proporcionalidadeTrabalho em grupo.Research focused on the history and teaching of mathematics, which allow dialogues based on their interfaces, are expanding in Brazil, mainly those developed through the study of historical mathematical instruments. Following the same perspective, this article presents an application of activity developed when studying the instrument, compass of proportion, contained in the treatise L'usage du compas de proportion published in 1631, by Didier Henrion. The objective is to show the application of the activity arising from handling and studying the historical instrument, the proportion compass, allowing to signify and re-signify the processes of geometric construction of the proportionality theorem. In which, the methodology is based on the qualitative approach, aided by group work in the application of the activity. Regarding the results, the autonomy of the students was highlighted for being able to investigate and try to solve the problem, in which it made it possible to remember concepts of parallelism, perpendicularism, line segments, straight lines, transversal lines, some even managed to identify that they were working with the theorem of proportionality. Therefore, it is concluded that from the use of lines of equal parts of the instrument compass of proportion it was possible to evidence didactic potential when studying theorem of proportionality through the process of development of the geometric design.Las investigaciones centradas en la historia y la enseñanza de las matemáticas, que permiten diálogos a partir de sus interfaces, se están expandiendo en Brasil, principalmente aquellas desarrolladas a través del estudio de instrumentos matemáticos históricos. Siguiendo la misma perspectiva, este artículo presenta una aplicación de la actividad desarrollada al estudiar el instrumento, el compás de proporción, contenido en el tratado L'usage du compas de ratio publicado en 1631, por Didier Henrion. El objetivo es mostrar la aplicación de la actividad derivada del manejo y estudio del instrumento histórico, el compás de proporciones, que permite significar y resignificar los procesos de construcción geométrica del teorema de proporcionalidad. En el cual, la metodología se basa en el enfoque cualitativo, auxiliado por el trabajo en grupo en la aplicación de la actividad. En cuanto a los resultados, se destacó la autonomía de los estudiantes para poder investigar y tratar de resolver el problema, en el que permitió recordar conceptos de paralelismo, perpendicularismo, segmentos de recta, rectas, transversales, algunos incluso lograron identificar que estaban trabajando con el teorema de proporcionalidad. Por lo tanto, se concluye que a partir del uso de líneas de partes iguales del instrumento compás de proporción se pudo evidenciar potencial didáctico al estudiar el teorema de proporcionalidad a través del proceso de elaboración del diseño geométrico.As pesquisas voltadas a história e ensino de matemática que permitem diálogos a partir de suas interfaces, estão em expansão no Brasil, principalmente as desenvolvidas mediante os estudos de instrumentos históricos matemáticos. Seguindo a mesma perspectiva, este artigo apresenta uma aplicação de atividade desenvolvida ao estudar o instrumento, compasso de proporção, contido no tratado L’usage du compas de proportion publicado em 1631, por Didier Henrion. O objetivo é mostrar a aplicação da atividade advinda ao manusear e estudar o instrumento histórico, compasso de proporção, permitindo significar e ressignificar os processos de construção geométrica do teorema de proporcionalidade. Na qual, a metodologia está fundamentada na abordagem qualitativa, auxiliada pelo trabalho em grupo na aplicação da atividade. Em relação aos resultados, destacou-se a autonomia dos alunos por conseguir investigar e tentar solucionar o problema, em que possibilitou relembrar conceitos de paralelismo, perpendicularismo, segmentos de retas, retas, retas transversais, alguns até conseguiram identificar que estavam trabalhando com o teorema da proporcionalidade. Logo, conclui-se que a partir do uso das linhas de partes iguais do instrumento compasso de proporção foi possível evidenciar potencial didático ao estudar teorema de proporcionalidade mediante o processo de desenvolvimento do desenho geométrico.Research, Society and Development2022-12-16info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://rsdjournal.org/index.php/rsd/article/view/3850710.33448/rsd-v11i16.38507Research, Society and Development; Vol. 11 No. 16; e507111638507Research, Society and Development; Vol. 11 Núm. 16; e507111638507Research, Society and Development; v. 11 n. 16; e5071116385072525-3409reponame:Research, Society and Developmentinstname:Universidade Federal de Itajubá (UNIFEI)instacron:UNIFEIporhttps://rsdjournal.org/index.php/rsd/article/view/38507/31891Copyright (c) 2022 Thalya Cristiny de Sousa Masseno; Ana Carolina Costa Pereirahttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessMasseno, Thalya Cristiny de SousaPereira, Ana Carolina Costa2022-12-18T18:26:42Zoai:ojs.pkp.sfu.ca:article/38507Revistahttps://rsdjournal.org/index.php/rsd/indexPUBhttps://rsdjournal.org/index.php/rsd/oairsd.articles@gmail.com2525-34092525-3409opendoar:2024-01-17T09:52:13.048526Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)false
dc.title.none.fl_str_mv An application of proportion compass in basic education education to study the proportionality theorem
Una aplicación del compás de proporciones en la educación básica para el estudio del teorema de la proporcionalidad
Uma aplicação do compasso de proporção na educação básica para o estudo do teorema de proporcionalidade
title An application of proportion compass in basic education education to study the proportionality theorem
spellingShingle An application of proportion compass in basic education education to study the proportionality theorem
Masseno, Thalya Cristiny de Sousa
Proportion compass
Proportionality theorem
Group work.
Compás de proporciones
Teorema de proporcionalidad
Trabajo en grupo.
Compasso de proporção
Teorema de proporcionalidade
Trabalho em grupo.
title_short An application of proportion compass in basic education education to study the proportionality theorem
title_full An application of proportion compass in basic education education to study the proportionality theorem
title_fullStr An application of proportion compass in basic education education to study the proportionality theorem
title_full_unstemmed An application of proportion compass in basic education education to study the proportionality theorem
title_sort An application of proportion compass in basic education education to study the proportionality theorem
author Masseno, Thalya Cristiny de Sousa
author_facet Masseno, Thalya Cristiny de Sousa
Pereira, Ana Carolina Costa
author_role author
author2 Pereira, Ana Carolina Costa
author2_role author
dc.contributor.author.fl_str_mv Masseno, Thalya Cristiny de Sousa
Pereira, Ana Carolina Costa
dc.subject.por.fl_str_mv Proportion compass
Proportionality theorem
Group work.
Compás de proporciones
Teorema de proporcionalidad
Trabajo en grupo.
Compasso de proporção
Teorema de proporcionalidade
Trabalho em grupo.
topic Proportion compass
Proportionality theorem
Group work.
Compás de proporciones
Teorema de proporcionalidad
Trabajo en grupo.
Compasso de proporção
Teorema de proporcionalidade
Trabalho em grupo.
description Research focused on the history and teaching of mathematics, which allow dialogues based on their interfaces, are expanding in Brazil, mainly those developed through the study of historical mathematical instruments. Following the same perspective, this article presents an application of activity developed when studying the instrument, compass of proportion, contained in the treatise L'usage du compas de proportion published in 1631, by Didier Henrion. The objective is to show the application of the activity arising from handling and studying the historical instrument, the proportion compass, allowing to signify and re-signify the processes of geometric construction of the proportionality theorem. In which, the methodology is based on the qualitative approach, aided by group work in the application of the activity. Regarding the results, the autonomy of the students was highlighted for being able to investigate and try to solve the problem, in which it made it possible to remember concepts of parallelism, perpendicularism, line segments, straight lines, transversal lines, some even managed to identify that they were working with the theorem of proportionality. Therefore, it is concluded that from the use of lines of equal parts of the instrument compass of proportion it was possible to evidence didactic potential when studying theorem of proportionality through the process of development of the geometric design.
publishDate 2022
dc.date.none.fl_str_mv 2022-12-16
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/38507
10.33448/rsd-v11i16.38507
url https://rsdjournal.org/index.php/rsd/article/view/38507
identifier_str_mv 10.33448/rsd-v11i16.38507
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://rsdjournal.org/index.php/rsd/article/view/38507/31891
dc.rights.driver.fl_str_mv Copyright (c) 2022 Thalya Cristiny de Sousa Masseno; Ana Carolina Costa Pereira
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2022 Thalya Cristiny de Sousa Masseno; Ana Carolina Costa Pereira
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. 11 No. 16; e507111638507
Research, Society and Development; Vol. 11 Núm. 16; e507111638507
Research, Society and Development; v. 11 n. 16; e507111638507
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
_version_ 1797052642559524864

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