Revising the history of number: how Ethnomathematics transforms perspectives on indigenous cultures
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Revemop |
Texto Completo: | https://periodicos.ufop.br/revemop/article/view/2466 |
Resumo: | Many accounts of the history of number rely on written evidence such as clay, stone, and wood engravings or paintings. However, some of the oldest cultural groups (between 5 000 and 30 000 years old) have had only recent contact with the rest of the world, namely between 80 and 140 years ago but these were oral cultures without written records. Finding out about their understanding of number has involved analysis of the types of counting but also how counting related to the rest of their cultural relationships. There is some surprising evidence of diversity of number systems, longevity of the systems, and the interplay with cultural practices that begs respect for Indigenous cultures. Brief summaries of this history of number in Papua New Guinea and Oceania and the diversity of systems is followed by how this new knowledge can inform school mathematics learning in any part of the world. |
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Revising the history of number: how Ethnomathematics transforms perspectives on indigenous culturesRevisando la historia de los números: cómo las Etnomatemáticas transforma las perspectivas sobre las culturas indígenasRevisando a história do número: como a Etnomatemática transforma perspectivas sobre culturas indígenasHistory of numberIndigenous mathematicsPapua New GuineaMelanesiaPacificLongevity of number systemsHistoria de los NúmerosMatemáticas indígenasPapua Nueva GuineaMelanesiaPacificoLongevidad de sistemas numéricosHistória do númeroMatemática indígenaPapua Nova GuinéMelanésiaPacíficoLongevidade de sistemas numéricosMany accounts of the history of number rely on written evidence such as clay, stone, and wood engravings or paintings. However, some of the oldest cultural groups (between 5 000 and 30 000 years old) have had only recent contact with the rest of the world, namely between 80 and 140 years ago but these were oral cultures without written records. Finding out about their understanding of number has involved analysis of the types of counting but also how counting related to the rest of their cultural relationships. There is some surprising evidence of diversity of number systems, longevity of the systems, and the interplay with cultural practices that begs respect for Indigenous cultures. Brief summaries of this history of number in Papua New Guinea and Oceania and the diversity of systems is followed by how this new knowledge can inform school mathematics learning in any part of the world.Muchos relatos de la historia de los números se basan en pruebas escritas como grabados o pinturas de arcilla, piedra y madera. Sin embargo, algunos de los grupos culturales más antiguos (entre 5 000 y 30 000 años) solo han tenido contacto reciente con el resto del mundo, es decir, hace entre 80 y 140 años, pero se trataba de culturas orales sin registros escritos. Conocer su comprensión del número ha implicado el análisis de los tipos de conteo, pero también cómo el conteo se relaciona con el resto de sus relaciones culturales. Hay alguna evidencia sorprendente de la diversidad de sistemas numéricos, la longevidad de los sistemas y la interacción con prácticas culturales que exigen respeto por las culturas indígenas. Breves resúmenes de esta historia del número en Papua Nueva Guinea y Oceanía y la diversidad de sistemas es seguida por cómo este nuevo conocimiento puede informar el aprendizaje matemático escolar en cualquier parte del mundo.Muitos relatos da história do número dependem de evidências escritas como em argila, em pedra, em gravuras, em madeira ou em pinturas. No entanto, alguns dos grupos culturais mais antigos (entre 5.000 e 30.000 anos) tiveram apenas um contacto recente com o resto do mundo, nomeadamente entre 80 e 140 anos atrás, mas esses tinham culturas orais sem registos escritos. Descobrir a compreensão do número envolveu a análise dos tipos de contagem, mas também como a contagem se relacionava com o restante de suas relações culturais. Há algumas evidências surpreendentes da diversidade de sistemas numéricos, longevidade dos sistemas e interação com as práticas culturais que imploram respeito pelas culturas indígenas. Breves sumários desta história de números em Papua Nova Guiné, Oceânia e numa diversidade de sistemas são seguidos por uma reflexão sobre como esse novo conhecimento pode informar a aprendizagem de Matemática escolar em qualquer parte do mundo.Editora da UFOP2020-03-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufop.br/revemop/article/view/246610.33532/revemop.e202007Revemop; v. 2 (2020): Rolling Pass; e2020072596-0245reponame:Revemopinstname:Universidade Federal de Ouro Preto (UFOP)instacron:UFOPenghttps://periodicos.ufop.br/revemop/article/view/2466/3172https://periodicos.ufop.br/revemop/article/view/2466/3736https://creativecommons.org/licenses/by-nc-sa/4.0info:eu-repo/semantics/openAccessOwens, KayMuke, Charly2021-05-15T09:53:13Zoai:pp.www.periodicos.ufop.br:article/2466Revistahttps://periodicos.ufop.br/revemop/indexPUBhttps://periodicos.ufop.br/revemop/oairevemop@ufop.edu.br||2596-02452596-0245opendoar:2021-05-15T09:53:13Revemop - Universidade Federal de Ouro Preto (UFOP)false |
dc.title.none.fl_str_mv |
Revising the history of number: how Ethnomathematics transforms perspectives on indigenous cultures Revisando la historia de los números: cómo las Etnomatemáticas transforma las perspectivas sobre las culturas indígenas Revisando a história do número: como a Etnomatemática transforma perspectivas sobre culturas indígenas |
title |
Revising the history of number: how Ethnomathematics transforms perspectives on indigenous cultures |
spellingShingle |
Revising the history of number: how Ethnomathematics transforms perspectives on indigenous cultures Owens, Kay History of number Indigenous mathematics Papua New Guinea Melanesia Pacific Longevity of number systems Historia de los Números Matemáticas indígenas Papua Nueva Guinea Melanesia Pacifico Longevidad de sistemas numéricos História do número Matemática indígena Papua Nova Guiné Melanésia Pacífico Longevidade de sistemas numéricos |
title_short |
Revising the history of number: how Ethnomathematics transforms perspectives on indigenous cultures |
title_full |
Revising the history of number: how Ethnomathematics transforms perspectives on indigenous cultures |
title_fullStr |
Revising the history of number: how Ethnomathematics transforms perspectives on indigenous cultures |
title_full_unstemmed |
Revising the history of number: how Ethnomathematics transforms perspectives on indigenous cultures |
title_sort |
Revising the history of number: how Ethnomathematics transforms perspectives on indigenous cultures |
author |
Owens, Kay |
author_facet |
Owens, Kay Muke, Charly |
author_role |
author |
author2 |
Muke, Charly |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Owens, Kay Muke, Charly |
dc.subject.por.fl_str_mv |
History of number Indigenous mathematics Papua New Guinea Melanesia Pacific Longevity of number systems Historia de los Números Matemáticas indígenas Papua Nueva Guinea Melanesia Pacifico Longevidad de sistemas numéricos História do número Matemática indígena Papua Nova Guiné Melanésia Pacífico Longevidade de sistemas numéricos |
topic |
History of number Indigenous mathematics Papua New Guinea Melanesia Pacific Longevity of number systems Historia de los Números Matemáticas indígenas Papua Nueva Guinea Melanesia Pacifico Longevidad de sistemas numéricos História do número Matemática indígena Papua Nova Guiné Melanésia Pacífico Longevidade de sistemas numéricos |
description |
Many accounts of the history of number rely on written evidence such as clay, stone, and wood engravings or paintings. However, some of the oldest cultural groups (between 5 000 and 30 000 years old) have had only recent contact with the rest of the world, namely between 80 and 140 years ago but these were oral cultures without written records. Finding out about their understanding of number has involved analysis of the types of counting but also how counting related to the rest of their cultural relationships. There is some surprising evidence of diversity of number systems, longevity of the systems, and the interplay with cultural practices that begs respect for Indigenous cultures. Brief summaries of this history of number in Papua New Guinea and Oceania and the diversity of systems is followed by how this new knowledge can inform school mathematics learning in any part of the world. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-03-04 |
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://periodicos.ufop.br/revemop/article/view/2466 10.33532/revemop.e202007 |
url |
https://periodicos.ufop.br/revemop/article/view/2466 |
identifier_str_mv |
10.33532/revemop.e202007 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
https://periodicos.ufop.br/revemop/article/view/2466/3172 https://periodicos.ufop.br/revemop/article/view/2466/3736 |
dc.rights.driver.fl_str_mv |
https://creativecommons.org/licenses/by-nc-sa/4.0 info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/4.0 |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Editora da UFOP |
publisher.none.fl_str_mv |
Editora da UFOP |
dc.source.none.fl_str_mv |
Revemop; v. 2 (2020): Rolling Pass; e202007 2596-0245 reponame:Revemop instname:Universidade Federal de Ouro Preto (UFOP) instacron:UFOP |
instname_str |
Universidade Federal de Ouro Preto (UFOP) |
instacron_str |
UFOP |
institution |
UFOP |
reponame_str |
Revemop |
collection |
Revemop |
repository.name.fl_str_mv |
Revemop - Universidade Federal de Ouro Preto (UFOP) |
repository.mail.fl_str_mv |
revemop@ufop.edu.br|| |
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1797068970923130880 |