{"title":"大洋洲和非洲沙画比较研究","authors":"Linbin Wang, Rowena Ball, Hongzhang Xu","doi":"arxiv-2404.04798","DOIUrl":null,"url":null,"abstract":"People typically consider only European mathematics as orthodox, often\nintentionally or unintentionally overlooking the existence of mathematics from\nnon-European societies. Inspired by Maria Ascher's two well-known papers on\nsand drawings in Oceania and Africa, this paper focuses on the strong link\nbetween modern mathematics and the mathematics behind the sand drawings.\nBeginning with a comparison of the geography, history, and the cultural context\nof sand drawings in Oceania and Africa, we will examine shared geometric\nfeatures of European graph theory and Indigenous sand drawings, including\ncontinuity, cyclicity, and symmetry. The paper will also delve into the origin\nof graph theory, exploring whether the famous European mathematician Leonhard\nEuler, who published his solution to the Konigsberg bridge problem in 1736, was\nthe true inventor of graph theory. The potential for incorporating sand\ndrawings into the school curriculum is highlighted at the end. Overall, this\npaper aims to make readers realise the importance of ethnomathematics studies\nand appreciate the intelligence of Indigenous people.","PeriodicalId":501462,"journal":{"name":"arXiv - MATH - History and Overview","volume":"42 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Comparative Study of Sand Drawings in Oceania and Africa\",\"authors\":\"Linbin Wang, Rowena Ball, Hongzhang Xu\",\"doi\":\"arxiv-2404.04798\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"People typically consider only European mathematics as orthodox, often\\nintentionally or unintentionally overlooking the existence of mathematics from\\nnon-European societies. Inspired by Maria Ascher's two well-known papers on\\nsand drawings in Oceania and Africa, this paper focuses on the strong link\\nbetween modern mathematics and the mathematics behind the sand drawings.\\nBeginning with a comparison of the geography, history, and the cultural context\\nof sand drawings in Oceania and Africa, we will examine shared geometric\\nfeatures of European graph theory and Indigenous sand drawings, including\\ncontinuity, cyclicity, and symmetry. The paper will also delve into the origin\\nof graph theory, exploring whether the famous European mathematician Leonhard\\nEuler, who published his solution to the Konigsberg bridge problem in 1736, was\\nthe true inventor of graph theory. The potential for incorporating sand\\ndrawings into the school curriculum is highlighted at the end. Overall, this\\npaper aims to make readers realise the importance of ethnomathematics studies\\nand appreciate the intelligence of Indigenous people.\",\"PeriodicalId\":501462,\"journal\":{\"name\":\"arXiv - MATH - History and Overview\",\"volume\":\"42 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-04-07\",\"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-2404.04798\",\"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-2404.04798","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Comparative Study of Sand Drawings in Oceania and Africa
People typically consider only European mathematics as orthodox, often
intentionally or unintentionally overlooking the existence of mathematics from
non-European societies. Inspired by Maria Ascher's two well-known papers on
sand drawings in Oceania and Africa, this paper focuses on the strong link
between modern mathematics and the mathematics behind the sand drawings.
Beginning with a comparison of the geography, history, and the cultural context
of sand drawings in Oceania and Africa, we will examine shared geometric
features of European graph theory and Indigenous sand drawings, including
continuity, cyclicity, and symmetry. The paper will also delve into the origin
of graph theory, exploring whether the famous European mathematician Leonhard
Euler, who published his solution to the Konigsberg bridge problem in 1736, was
the true inventor of graph theory. The potential for incorporating sand
drawings into the school curriculum is highlighted at the end. Overall, this
paper aims to make readers realise the importance of ethnomathematics studies
and appreciate the intelligence of Indigenous people.