Unit fractions: contributions from the History of Mathematics to rational numbers teaching

Detalhes bibliográficos
Autor(a) principal: Pommer, Wagner Marcelo
Data de Publicação: 2021
Outros Autores: Moraes, Franco Vinicius Pinto de
Tipo de documento: Artigo
Idioma: por
Título da fonte: Remat (Bento Gonçalves)
Texto Completo: https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/4816
Resumo: The History of Mathematics is a field that can bring contributions to Mathematics teaching at basic education. The objective of this work was to carry out a historical-epistemological survey on the unit fractions in History of Mathematics books and to analyze the possibilities of contribution of this theme to the final years of Elementary School. Research by Lopes (2008) and Pommer (2020) show that the teaching of rational numbers is still an open subject for academic debates. For this discussion we raised the framework on fractions teaching, as well as the relevance and possible contributions of the field of the History of Mathematics. In the methodological part, a documentary research was developed in four History of Mathematics books: Karlson (1961), Boyer (1974), Ifrah (1997) e Roque 2012. The books revealed moments of the development of unit fractions by the ancient Egyptians that allow a connection with research involving rational numbers in Mathematics Education. Still, it was observed that the cultural contexts involved in the development of unitary fractions by the ancient Egyptian people could be inserted in problematic situations to foster interdisciplinary teaching, which contributes to the learning of the fractions themselves.
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spelling Unit fractions: contributions from the History of Mathematics to rational numbers teachingFrações unitárias: contribuições da História da Matemática para o ensino dos números racionaisunit fractionsHistory of Mathematicsteachingancient egiptiansfrações unitáriasHistória da Matemáticaensinoantigos egípciosThe History of Mathematics is a field that can bring contributions to Mathematics teaching at basic education. The objective of this work was to carry out a historical-epistemological survey on the unit fractions in History of Mathematics books and to analyze the possibilities of contribution of this theme to the final years of Elementary School. Research by Lopes (2008) and Pommer (2020) show that the teaching of rational numbers is still an open subject for academic debates. For this discussion we raised the framework on fractions teaching, as well as the relevance and possible contributions of the field of the History of Mathematics. In the methodological part, a documentary research was developed in four History of Mathematics books: Karlson (1961), Boyer (1974), Ifrah (1997) e Roque 2012. The books revealed moments of the development of unit fractions by the ancient Egyptians that allow a connection with research involving rational numbers in Mathematics Education. Still, it was observed that the cultural contexts involved in the development of unitary fractions by the ancient Egyptian people could be inserted in problematic situations to foster interdisciplinary teaching, which contributes to the learning of the fractions themselves.A História da Matemática é um campo que pode trazer contribuições ao ensino de Matemática da escolaridade básica. O objetivo deste trabalho foi realizar um levantamento histórico-epistemológico sobre as frações unitárias em livros da História da Matemática e analisar as possibilidades de contribuição deste tema para os anos finais do Ensino Fundamental. As pesquisas de Lopes (2008) e Pommer (2020) apontam que o ensino dos números racionais ainda é um assunto aberto para debates acadêmicos. Para essa discussão foi levantado o quadro sobre o ensino de frações assim como da relevância e possíveis contribuições do campo da História da Matemática. Na parte metodológica foi desenvolvida uma pesquisa documental em quatro livros de História da Matemática: Karlson (1961), Boyer (1974), Ifrah (1997) e Roque 2012. Os livros revelaram momentos do desenvolvimento das frações unitárias pelos antigos egípcios que permitem uma conexão com as pesquisas envolvendo números racionais em Educação Matemática. Também foi observado que os contextos culturais envoltos no desenvolvimento das frações unitárias pelo antigo povo egípcio poderiam ser inseridos em situações problematizadoras para fomentar o ensino interdisciplinar, o que contribui para o aprendizado das próprias frações.Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul2021-08-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtigo avaliado pelos paresapplication/pdfhttps://periodicos.ifrs.edu.br/index.php/REMAT/article/view/481610.35819/remat2021v7i2id4816REMAT: Revista Eletrônica da Matemática; Vol. 7 No. 2 (2021); e2003REMAT: Revista Eletrônica da Matemática; Vol. 7 Núm. 2 (2021); e2003REMAT: Revista Eletrônica da Matemática; v. 7 n. 2 (2021); e20032447-2689reponame: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/4816/3004Copyright (c) 2021 REMAT: Revista Eletrônica da Matemáticahttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessPommer, Wagner MarceloMoraes, Franco Vinicius Pinto de2022-12-28T16:07:18Zoai:ojs2.periodicos.ifrs.edu.br:article/4816Revistahttp://periodicos.ifrs.edu.br/index.php/REMATPUBhttps://periodicos.ifrs.edu.br/index.php/REMAT/oai||greice.andreis@caxias.ifrs.edu.br2447-26892447-2689opendoar:2022-12-28T16:07:18Remat (Bento Gonçalves) - Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)false
dc.title.none.fl_str_mv Unit fractions: contributions from the History of Mathematics to rational numbers teaching
Frações unitárias: contribuições da História da Matemática para o ensino dos números racionais
title Unit fractions: contributions from the History of Mathematics to rational numbers teaching
spellingShingle Unit fractions: contributions from the History of Mathematics to rational numbers teaching
Pommer, Wagner Marcelo
unit fractions
History of Mathematics
teaching
ancient egiptians
frações unitárias
História da Matemática
ensino
antigos egípcios
title_short Unit fractions: contributions from the History of Mathematics to rational numbers teaching
title_full Unit fractions: contributions from the History of Mathematics to rational numbers teaching
title_fullStr Unit fractions: contributions from the History of Mathematics to rational numbers teaching
title_full_unstemmed Unit fractions: contributions from the History of Mathematics to rational numbers teaching
title_sort Unit fractions: contributions from the History of Mathematics to rational numbers teaching
author Pommer, Wagner Marcelo
author_facet Pommer, Wagner Marcelo
Moraes, Franco Vinicius Pinto de
author_role author
author2 Moraes, Franco Vinicius Pinto de
author2_role author
dc.contributor.author.fl_str_mv Pommer, Wagner Marcelo
Moraes, Franco Vinicius Pinto de
dc.subject.por.fl_str_mv unit fractions
History of Mathematics
teaching
ancient egiptians
frações unitárias
História da Matemática
ensino
antigos egípcios
topic unit fractions
History of Mathematics
teaching
ancient egiptians
frações unitárias
História da Matemática
ensino
antigos egípcios
description The History of Mathematics is a field that can bring contributions to Mathematics teaching at basic education. The objective of this work was to carry out a historical-epistemological survey on the unit fractions in History of Mathematics books and to analyze the possibilities of contribution of this theme to the final years of Elementary School. Research by Lopes (2008) and Pommer (2020) show that the teaching of rational numbers is still an open subject for academic debates. For this discussion we raised the framework on fractions teaching, as well as the relevance and possible contributions of the field of the History of Mathematics. In the methodological part, a documentary research was developed in four History of Mathematics books: Karlson (1961), Boyer (1974), Ifrah (1997) e Roque 2012. The books revealed moments of the development of unit fractions by the ancient Egyptians that allow a connection with research involving rational numbers in Mathematics Education. Still, it was observed that the cultural contexts involved in the development of unitary fractions by the ancient Egyptian people could be inserted in problematic situations to foster interdisciplinary teaching, which contributes to the learning of the fractions themselves.
publishDate 2021
dc.date.none.fl_str_mv 2021-08-10
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/4816
10.35819/remat2021v7i2id4816
url https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/4816
identifier_str_mv 10.35819/remat2021v7i2id4816
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/4816/3004
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. 2 (2021); e2003
REMAT: Revista Eletrônica da Matemática; Vol. 7 Núm. 2 (2021); e2003
REMAT: Revista Eletrônica da Matemática; v. 7 n. 2 (2021); e2003
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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