{"title":"数学知识的多种形式:范围文献研究","authors":"Hongzhang Xu, Rowena Ball","doi":"arxiv-2406.16921","DOIUrl":null,"url":null,"abstract":"We present a scoping review of published literature on ethnomathematics and\nIndigenous mathematics as a step towards a goal to decolonize the prevailing\nEurocentric view of the provenance of mathematics. Mathematical practices were\nidentified globally from 169 included studies. We map three development stages\nof ethnomathematical research from 1984 to 2023 and identify 20 categories of\nIndigenous and traditional cultural activities that evidence mathematical\ndesign and expression. We address two challenges of investigating non-Western\nbased mathematics: where to look for mathematical knowledge, and how to decode\nit from cultural practices. These two hurdles are overcome by cluster analysis\nof the keywords of included studies. Existing research falls into two\ncategories: I. identification of mathematical concepts used in Indigenous\nsocieties, and II. systematizing identified mathematical concepts. Both\napproaches are essential for research on Indigenous mathematics to flourish, in\norder to empower Indigenous knowledge holders and deconstruct restrictive\ncolonial boundaries of mathematical knowledge and education.","PeriodicalId":501462,"journal":{"name":"arXiv - MATH - History and Overview","volume":"144 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Multiple Forms of Knowing in Mathematics: A Scoping Literature Study\",\"authors\":\"Hongzhang Xu, Rowena Ball\",\"doi\":\"arxiv-2406.16921\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a scoping review of published literature on ethnomathematics and\\nIndigenous mathematics as a step towards a goal to decolonize the prevailing\\nEurocentric view of the provenance of mathematics. Mathematical practices were\\nidentified globally from 169 included studies. We map three development stages\\nof ethnomathematical research from 1984 to 2023 and identify 20 categories of\\nIndigenous and traditional cultural activities that evidence mathematical\\ndesign and expression. We address two challenges of investigating non-Western\\nbased mathematics: where to look for mathematical knowledge, and how to decode\\nit from cultural practices. These two hurdles are overcome by cluster analysis\\nof the keywords of included studies. Existing research falls into two\\ncategories: I. identification of mathematical concepts used in Indigenous\\nsocieties, and II. systematizing identified mathematical concepts. Both\\napproaches are essential for research on Indigenous mathematics to flourish, in\\norder to empower Indigenous knowledge holders and deconstruct restrictive\\ncolonial boundaries of mathematical knowledge and education.\",\"PeriodicalId\":501462,\"journal\":{\"name\":\"arXiv - MATH - History and Overview\",\"volume\":\"144 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - History and Overview\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2406.16921\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - History and Overview","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.16921","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Multiple Forms of Knowing in Mathematics: A Scoping Literature Study
We present a scoping review of published literature on ethnomathematics and
Indigenous mathematics as a step towards a goal to decolonize the prevailing
Eurocentric view of the provenance of mathematics. Mathematical practices were
identified globally from 169 included studies. We map three development stages
of ethnomathematical research from 1984 to 2023 and identify 20 categories of
Indigenous and traditional cultural activities that evidence mathematical
design and expression. We address two challenges of investigating non-Western
based mathematics: where to look for mathematical knowledge, and how to decode
it from cultural practices. These two hurdles are overcome by cluster analysis
of the keywords of included studies. Existing research falls into two
categories: I. identification of mathematical concepts used in Indigenous
societies, and II. systematizing identified mathematical concepts. Both
approaches are essential for research on Indigenous mathematics to flourish, in
order to empower Indigenous knowledge holders and deconstruct restrictive
colonial boundaries of mathematical knowledge and education.