Binary Numeration: From Ancient Egypt to a 19th Century French Mathematical Recreation
Autor(a) principal: | |
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Data de Publicação: | 2024 |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Rematec (Online) |
Texto Completo: | http://www.rematec.net.br/index.php/rematec/article/view/607 |
Resumo: | This article focuses on the use of base 2 in two historical contexts: ancient Egypt during the Middle Kingdom and 19th-century France. In ancient Egypt, base 2 was central to the “duplation” algorithm to multiply two numbers. In 19th-century France, it featured in mathematical recreations by Charles-Ange Laisant and Édouard Lucas. Duplation in ancient Egypt involved doubling a number successively, leveraging the binary nature of the numbering system for rapid calculations. In France, Laisant and Lucas contributed to mathematical recreations rooted in base 2, popularizing mathematics and engaging the public. The article aims to present these historical resources, highlighting their educational potential. It suggests integrating these examples into mandatory education from age 9 onwards, offering students a practical understanding of mathematics and its history. However, specific teaching methods are left to the reader’s discretion. |
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Binary Numeration: From Ancient Egypt to a 19th Century French Mathematical RecreationHistory of MathematicsMathematical RecreationsMathematics EducationBinary systemNumbersThis article focuses on the use of base 2 in two historical contexts: ancient Egypt during the Middle Kingdom and 19th-century France. In ancient Egypt, base 2 was central to the “duplation” algorithm to multiply two numbers. In 19th-century France, it featured in mathematical recreations by Charles-Ange Laisant and Édouard Lucas. Duplation in ancient Egypt involved doubling a number successively, leveraging the binary nature of the numbering system for rapid calculations. In France, Laisant and Lucas contributed to mathematical recreations rooted in base 2, popularizing mathematics and engaging the public. The article aims to present these historical resources, highlighting their educational potential. It suggests integrating these examples into mandatory education from age 9 onwards, offering students a practical understanding of mathematics and its history. However, specific teaching methods are left to the reader’s discretion.Grupo de Pesquisa Práticas Socioculturais e Educação Matemática2024-03-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://www.rematec.net.br/index.php/rematec/article/view/60710.37084/REMATEC.1980-3141.2024.n47.e2024005.id607REMATEC; v. 19 n. 47 (2024): Fluxo Contínuo; e20240052675-19091980-3141reponame:Rematec (Online)instname:Universidade Federal do Pará (UFPA)instacron:UFPAporhttp://www.rematec.net.br/index.php/rematec/article/view/607/546Copyright (c) 2024 REMATECinfo:eu-repo/semantics/openAccessMoyon, Marc2024-04-17T09:58:05Zoai:ojs2.www.rematec.net.br:article/607Revistahttp://www.rematec.net.br/index.php/rematecPUBhttp://www.rematec.net.br/index.php/rematec/oairevistarematec@gmail.com||revistarematec@gmail.com2675-19091980-3141opendoar:2024-04-17T09:58:05Rematec (Online) - Universidade Federal do Pará (UFPA)false |
dc.title.none.fl_str_mv |
Binary Numeration: From Ancient Egypt to a 19th Century French Mathematical Recreation |
title |
Binary Numeration: From Ancient Egypt to a 19th Century French Mathematical Recreation |
spellingShingle |
Binary Numeration: From Ancient Egypt to a 19th Century French Mathematical Recreation Moyon, Marc History of Mathematics Mathematical Recreations Mathematics Education Binary system Numbers |
title_short |
Binary Numeration: From Ancient Egypt to a 19th Century French Mathematical Recreation |
title_full |
Binary Numeration: From Ancient Egypt to a 19th Century French Mathematical Recreation |
title_fullStr |
Binary Numeration: From Ancient Egypt to a 19th Century French Mathematical Recreation |
title_full_unstemmed |
Binary Numeration: From Ancient Egypt to a 19th Century French Mathematical Recreation |
title_sort |
Binary Numeration: From Ancient Egypt to a 19th Century French Mathematical Recreation |
author |
Moyon, Marc |
author_facet |
Moyon, Marc |
author_role |
author |
dc.contributor.author.fl_str_mv |
Moyon, Marc |
dc.subject.por.fl_str_mv |
History of Mathematics Mathematical Recreations Mathematics Education Binary system Numbers |
topic |
History of Mathematics Mathematical Recreations Mathematics Education Binary system Numbers |
description |
This article focuses on the use of base 2 in two historical contexts: ancient Egypt during the Middle Kingdom and 19th-century France. In ancient Egypt, base 2 was central to the “duplation” algorithm to multiply two numbers. In 19th-century France, it featured in mathematical recreations by Charles-Ange Laisant and Édouard Lucas. Duplation in ancient Egypt involved doubling a number successively, leveraging the binary nature of the numbering system for rapid calculations. In France, Laisant and Lucas contributed to mathematical recreations rooted in base 2, popularizing mathematics and engaging the public. The article aims to present these historical resources, highlighting their educational potential. It suggests integrating these examples into mandatory education from age 9 onwards, offering students a practical understanding of mathematics and its history. However, specific teaching methods are left to the reader’s discretion. |
publishDate |
2024 |
dc.date.none.fl_str_mv |
2024-03-03 |
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 |
http://www.rematec.net.br/index.php/rematec/article/view/607 10.37084/REMATEC.1980-3141.2024.n47.e2024005.id607 |
url |
http://www.rematec.net.br/index.php/rematec/article/view/607 |
identifier_str_mv |
10.37084/REMATEC.1980-3141.2024.n47.e2024005.id607 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
http://www.rematec.net.br/index.php/rematec/article/view/607/546 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2024 REMATEC info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2024 REMATEC |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Grupo de Pesquisa Práticas Socioculturais e Educação Matemática |
publisher.none.fl_str_mv |
Grupo de Pesquisa Práticas Socioculturais e Educação Matemática |
dc.source.none.fl_str_mv |
REMATEC; v. 19 n. 47 (2024): Fluxo Contínuo; e2024005 2675-1909 1980-3141 reponame:Rematec (Online) instname:Universidade Federal do Pará (UFPA) instacron:UFPA |
instname_str |
Universidade Federal do Pará (UFPA) |
instacron_str |
UFPA |
institution |
UFPA |
reponame_str |
Rematec (Online) |
collection |
Rematec (Online) |
repository.name.fl_str_mv |
Rematec (Online) - Universidade Federal do Pará (UFPA) |
repository.mail.fl_str_mv |
revistarematec@gmail.com||revistarematec@gmail.com |
_version_ |
1797069002287087616 |