The approach of mathematical concepts through the table of timber measure by Leonard Digges (1520-1559)

Detalhes bibliográficos
Autor(a) principal: Paulino, Sabrina de Sousa
Data de Publicação: 2021
Outros Autores: Pereira, Ana Carolina Costa
Tipo de documento: Artigo
Idioma: por
Título da fonte: Remat (Bento Gonçalves)
Texto Completo: https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/4265
Resumo: In the quest to contribute to the dissemination of didactic resources coming from the history of mathematics, suggestions have been found which aim for the construction of interfaces between history and the teaching of mathematics under a historical view of current history. Thus, this case study aims to present some preliminary aspects of the table of timber measure, displayed in the treatise A Booke Named Tectonicon, written and published for the first time in London, year of 1556, by the Englishman Leonard Digges (1520-1559). Therefore, a qualitative research of documentary nature was held, carrying out a longitudinal study involving translation, the understanding of contextual elements of that time and the mathematical and extra-mathematical knowledge presented in the treatise. The table of timber measure is used in the construction, grading and administration of two of the surveying instruments proposed by Digges (1605). In his construction, it is noticed the embodiment of some concepts that can be used in the teaching of mathematics. Among them, it can be highlighted the mobilization of the concept of fractions and their operations, as well as the simple rule of three and the conversion of units of measure. Thus, it is considered that from the construction of the table of timber measure, it is possible to extract potentially didactic items aimed at the use of historical documents in teaching, focusing mainly on the articulation between history and mathematics teaching.
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spelling The approach of mathematical concepts through the table of timber measure by Leonard Digges (1520-1559)A abordagem de conceitos matemáticos por meio da tabela de medidas da madeira de Leonard Digges (1520-1559)Tabela de Medidas da MadeiraA Booke Named TectoniconEnsino de MatemáticaTable of Timber MeasureA Booke Named TectoniconMathematics TeachingIn the quest to contribute to the dissemination of didactic resources coming from the history of mathematics, suggestions have been found which aim for the construction of interfaces between history and the teaching of mathematics under a historical view of current history. Thus, this case study aims to present some preliminary aspects of the table of timber measure, displayed in the treatise A Booke Named Tectonicon, written and published for the first time in London, year of 1556, by the Englishman Leonard Digges (1520-1559). Therefore, a qualitative research of documentary nature was held, carrying out a longitudinal study involving translation, the understanding of contextual elements of that time and the mathematical and extra-mathematical knowledge presented in the treatise. The table of timber measure is used in the construction, grading and administration of two of the surveying instruments proposed by Digges (1605). In his construction, it is noticed the embodiment of some concepts that can be used in the teaching of mathematics. Among them, it can be highlighted the mobilization of the concept of fractions and their operations, as well as the simple rule of three and the conversion of units of measure. Thus, it is considered that from the construction of the table of timber measure, it is possible to extract potentially didactic items aimed at the use of historical documents in teaching, focusing mainly on the articulation between history and mathematics teaching.Na busca de contribuir para a disseminação de recursos didáticos advindos da história da matemática, têm-se encontrado propostas que visam a construção de interfaces entre a história e o ensino de matemática sob uma visão das historiografias atualizadas. Assim, o intuito deste estudo é apresentar alguns aspectos epistemológicos da tabela de medidas da madeira, expostos no tratado A Booke Named Tectonicon, escrito e publicado pela primeira vez em Londres, no ano de 1556, pelo inglês Leonard Digges (1520-1559). Para isso, realizou-se uma pesquisa qualitativa de cunho documental, efetuando um estudo longitudinal que envolveu a tradução, a compreensão dos elementos contextuais da época e dos conhecimentos matemáticos e extramatemáticos presentes no tratado. A tabela de medidas da madeira é utilizada no processo de construção, graduação e aplicação de dois dos instrumentos de agrimensura propostos por Digges (1605). Na sua construção, percebe-se a incorporação de diversos conceitos que podem ser utilizados no ensino de matemática. Dentre eles, pode-se destacar a mobilização do conceito de frações e suas operações, assim como a regra de três simples e a conversão de unidades de medida. Dessa forma, considera-se que, a partir da construção da tabela de medidas da madeira, é possível extrair itens potencialmente didáticos, voltados para o uso de documentos históricos no ensino, com o foco principalmente voltado para a articulação entre história e ensino de matemática.Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul2021-04-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtigo avaliado pelos paresapplication/pdfhttps://periodicos.ifrs.edu.br/index.php/REMAT/article/view/426510.35819/remat2021v7i1id4265REMAT: Revista Eletrônica da Matemática; Vol. 7 No. 1 (2021); e2007REMAT: Revista Eletrônica da Matemática; Vol. 7 Núm. 1 (2021); e2007REMAT: Revista Eletrônica da Matemática; v. 7 n. 1 (2021); e20072447-2689reponame:Remat (Bento Gonçalves)instname:Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)instacron:IFRSporhttps://periodicos.ifrs.edu.br/index.php/REMAT/article/view/4265/2866Copyright (c) 2021 REMAT: Revista Eletrônica da Matemáticahttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessPaulino, Sabrina de SousaPereira, Ana Carolina Costa2022-12-28T16:06:35Zoai:ojs2.periodicos.ifrs.edu.br:article/4265Revistahttp://periodicos.ifrs.edu.br/index.php/REMATPUBhttps://periodicos.ifrs.edu.br/index.php/REMAT/oai||greice.andreis@caxias.ifrs.edu.br2447-26892447-2689opendoar:2022-12-28T16:06:35Remat (Bento Gonçalves) - Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)false
dc.title.none.fl_str_mv The approach of mathematical concepts through the table of timber measure by Leonard Digges (1520-1559)
A abordagem de conceitos matemáticos por meio da tabela de medidas da madeira de Leonard Digges (1520-1559)
title The approach of mathematical concepts through the table of timber measure by Leonard Digges (1520-1559)
spellingShingle The approach of mathematical concepts through the table of timber measure by Leonard Digges (1520-1559)
Paulino, Sabrina de Sousa
Tabela de Medidas da Madeira
A Booke Named Tectonicon
Ensino de Matemática
Table of Timber Measure
A Booke Named Tectonicon
Mathematics Teaching
title_short The approach of mathematical concepts through the table of timber measure by Leonard Digges (1520-1559)
title_full The approach of mathematical concepts through the table of timber measure by Leonard Digges (1520-1559)
title_fullStr The approach of mathematical concepts through the table of timber measure by Leonard Digges (1520-1559)
title_full_unstemmed The approach of mathematical concepts through the table of timber measure by Leonard Digges (1520-1559)
title_sort The approach of mathematical concepts through the table of timber measure by Leonard Digges (1520-1559)
author Paulino, Sabrina de Sousa
author_facet Paulino, Sabrina de Sousa
Pereira, Ana Carolina Costa
author_role author
author2 Pereira, Ana Carolina Costa
author2_role author
dc.contributor.author.fl_str_mv Paulino, Sabrina de Sousa
Pereira, Ana Carolina Costa
dc.subject.por.fl_str_mv Tabela de Medidas da Madeira
A Booke Named Tectonicon
Ensino de Matemática
Table of Timber Measure
A Booke Named Tectonicon
Mathematics Teaching
topic Tabela de Medidas da Madeira
A Booke Named Tectonicon
Ensino de Matemática
Table of Timber Measure
A Booke Named Tectonicon
Mathematics Teaching
description In the quest to contribute to the dissemination of didactic resources coming from the history of mathematics, suggestions have been found which aim for the construction of interfaces between history and the teaching of mathematics under a historical view of current history. Thus, this case study aims to present some preliminary aspects of the table of timber measure, displayed in the treatise A Booke Named Tectonicon, written and published for the first time in London, year of 1556, by the Englishman Leonard Digges (1520-1559). Therefore, a qualitative research of documentary nature was held, carrying out a longitudinal study involving translation, the understanding of contextual elements of that time and the mathematical and extra-mathematical knowledge presented in the treatise. The table of timber measure is used in the construction, grading and administration of two of the surveying instruments proposed by Digges (1605). In his construction, it is noticed the embodiment of some concepts that can be used in the teaching of mathematics. Among them, it can be highlighted the mobilization of the concept of fractions and their operations, as well as the simple rule of three and the conversion of units of measure. Thus, it is considered that from the construction of the table of timber measure, it is possible to extract potentially didactic items aimed at the use of historical documents in teaching, focusing mainly on the articulation between history and mathematics teaching.
publishDate 2021
dc.date.none.fl_str_mv 2021-04-06
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Artigo avaliado pelos pares
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/4265
10.35819/remat2021v7i1id4265
url https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/4265
identifier_str_mv 10.35819/remat2021v7i1id4265
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/4265/2866
dc.rights.driver.fl_str_mv Copyright (c) 2021 REMAT: Revista Eletrônica da Matemática
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2021 REMAT: Revista Eletrônica da Matemática
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 Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul
publisher.none.fl_str_mv Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul
dc.source.none.fl_str_mv REMAT: Revista Eletrônica da Matemática; Vol. 7 No. 1 (2021); e2007
REMAT: Revista Eletrônica da Matemática; Vol. 7 Núm. 1 (2021); e2007
REMAT: Revista Eletrônica da Matemática; v. 7 n. 1 (2021); e2007
2447-2689
reponame:Remat (Bento Gonçalves)
instname:Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)
instacron:IFRS
instname_str Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)
instacron_str IFRS
institution IFRS
reponame_str Remat (Bento Gonçalves)
collection Remat (Bento Gonçalves)
repository.name.fl_str_mv Remat (Bento Gonçalves) - Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)
repository.mail.fl_str_mv ||greice.andreis@caxias.ifrs.edu.br
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