Revising the history of number: how Ethnomathematics transforms perspectives on indigenous cultures

Detalhes bibliográficos
Autor(a) principal: Owens, Kay
Data de Publicação: 2020
Outros Autores: Muke, Charly
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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spelling 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)
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instname_str Universidade Federal de Ouro Preto (UFOP)
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institution UFOP
reponame_str Revemop
collection Revemop
repository.name.fl_str_mv Revemop - Universidade Federal de Ouro Preto (UFOP)
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