The PI number and the concept of approximation: possible routes coming from History to Elementary Mathematics teaching

Detalhes bibliográficos
Autor(a) principal: Pommer, Wagner Marcelo
Data de Publicação: 2019
Tipo de documento: Artigo
Idioma: por
Título da fonte: Ensino em Revista
Texto Completo: https://seer.ufu.br/index.php/emrevista/article/view/49337
Resumo: This paper aimed to present and discuss the question of approximation in infinite processes in the surroundings the History of Mathematics as a contribution to weave a possible significant approach of the PI number at basic education. The approximations theme constitutes a connection with rational numbers, since irrational numbers exist only in the pragmatic world through finite decimal representations. The search for documents in the context of the History of Mathematics revealed several moments of the ancient civilizations that allow a dialogue with epistemology, making a connection with didactic references between diverse mathematical themes, which allows the emergence of teachingsituations immersed in a present-past feedback.
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spelling The PI number and the concept of approximation: possible routes coming from History to Elementary Mathematics teachingO número PI e o conceito de aproximação: possíveis caminhos advindos da História para o ensino da Matemática ElementarHistória da MatemáticaPIAproximaçãoHistory of MathematicsPIApproximationThis paper aimed to present and discuss the question of approximation in infinite processes in the surroundings the History of Mathematics as a contribution to weave a possible significant approach of the PI number at basic education. The approximations theme constitutes a connection with rational numbers, since irrational numbers exist only in the pragmatic world through finite decimal representations. The search for documents in the context of the History of Mathematics revealed several moments of the ancient civilizations that allow a dialogue with epistemology, making a connection with didactic references between diverse mathematical themes, which allows the emergence of teachingsituations immersed in a present-past feedback.Este texto objetivou apresentar e discutir a questão de aproximação em processos infinitos no entorno da História da Matemática como aporte para tecer uma possível abordagem significativa do número PI na escolaridade básica. O tema das aproximações se constitui em uma conexão com os números racionais, pois os números irracionais somente existem no mundo pragmático através de representações decimais finitas. A busca em documentos no entorno da História da Matemática revelou diversos momentos das civilizações antigas que permitem um diálogo com a epistemologia, perfazendo uma conexão com referenciais didáticos entre temas matemáticos diversos, o que possibilita emergir situações de ensino imersas numa retroação presente-passado.  Universidade Federal de Uberlândia2019-06-30info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://seer.ufu.br/index.php/emrevista/article/view/4933710.14393/ER-v26n2a2019-3Ensino em Re-Vista; 2019: v. 26, n. 2 (maio/ago. 2019); 345-365Ensino em Re-Vista; 2019: v. 26, n. 2 (maio/ago. 2019); 345-365Ensino em Re-Vista; 2019: v. 26, n. 2 (maio/ago. 2019); 345-3651983-17300104-3757reponame:Ensino em Revistainstname:Universidade Federal de Uberlândia (UFU)instacron:UFUporhttps://seer.ufu.br/index.php/emrevista/article/view/49337/26285Pommer, Wagner Marcelo info:eu-repo/semantics/openAccess2019-10-08T21:50:44Zoai:ojs.www.seer.ufu.br:article/49337Revistahttps://seer.ufu.br/index.php/emrevistaPUBhttps://seer.ufu.br/index.php/emrevista/oai||ensinoemrevista@gmail.com1983-17300104-3757opendoar:2019-10-08T21:50:44Ensino em Revista - Universidade Federal de Uberlândia (UFU)false
dc.title.none.fl_str_mv The PI number and the concept of approximation: possible routes coming from History to Elementary Mathematics teaching
O número PI e o conceito de aproximação: possíveis caminhos advindos da História para o ensino da Matemática Elementar
title The PI number and the concept of approximation: possible routes coming from History to Elementary Mathematics teaching
spellingShingle The PI number and the concept of approximation: possible routes coming from History to Elementary Mathematics teaching
Pommer, Wagner Marcelo
História da Matemática
PI
Aproximação
History of Mathematics
PI
Approximation
title_short The PI number and the concept of approximation: possible routes coming from History to Elementary Mathematics teaching
title_full The PI number and the concept of approximation: possible routes coming from History to Elementary Mathematics teaching
title_fullStr The PI number and the concept of approximation: possible routes coming from History to Elementary Mathematics teaching
title_full_unstemmed The PI number and the concept of approximation: possible routes coming from History to Elementary Mathematics teaching
title_sort The PI number and the concept of approximation: possible routes coming from History to Elementary Mathematics teaching
author Pommer, Wagner Marcelo
author_facet Pommer, Wagner Marcelo
author_role author
dc.contributor.author.fl_str_mv Pommer, Wagner Marcelo
dc.subject.por.fl_str_mv História da Matemática
PI
Aproximação
History of Mathematics
PI
Approximation
topic História da Matemática
PI
Aproximação
History of Mathematics
PI
Approximation
description This paper aimed to present and discuss the question of approximation in infinite processes in the surroundings the History of Mathematics as a contribution to weave a possible significant approach of the PI number at basic education. The approximations theme constitutes a connection with rational numbers, since irrational numbers exist only in the pragmatic world through finite decimal representations. The search for documents in the context of the History of Mathematics revealed several moments of the ancient civilizations that allow a dialogue with epistemology, making a connection with didactic references between diverse mathematical themes, which allows the emergence of teachingsituations immersed in a present-past feedback.
publishDate 2019
dc.date.none.fl_str_mv 2019-06-30
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://seer.ufu.br/index.php/emrevista/article/view/49337
10.14393/ER-v26n2a2019-3
url https://seer.ufu.br/index.php/emrevista/article/view/49337
identifier_str_mv 10.14393/ER-v26n2a2019-3
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://seer.ufu.br/index.php/emrevista/article/view/49337/26285
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Uberlândia
publisher.none.fl_str_mv Universidade Federal de Uberlândia
dc.source.none.fl_str_mv Ensino em Re-Vista; 2019: v. 26, n. 2 (maio/ago. 2019); 345-365
Ensino em Re-Vista; 2019: v. 26, n. 2 (maio/ago. 2019); 345-365
Ensino em Re-Vista; 2019: v. 26, n. 2 (maio/ago. 2019); 345-365
1983-1730
0104-3757
reponame:Ensino em Revista
instname:Universidade Federal de Uberlândia (UFU)
instacron:UFU
instname_str Universidade Federal de Uberlândia (UFU)
instacron_str UFU
institution UFU
reponame_str Ensino em Revista
collection Ensino em Revista
repository.name.fl_str_mv Ensino em Revista - Universidade Federal de Uberlândia (UFU)
repository.mail.fl_str_mv ||ensinoemrevista@gmail.com
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