大洋洲和非洲沙画比较研究

Linbin Wang, Rowena Ball, Hongzhang Xu
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引用次数: 0

摘要

人们通常认为只有欧洲数学才是正统数学,往往有意或无意地忽视了非欧洲社会数学的存在。从比较大洋洲和非洲沙画的地理、历史和文化背景开始,我们将研究欧洲图论和土著沙画的共同几何特征,包括连续性、循环性和对称性。本文还将深入探讨图论的起源,探讨 1736 年发表了康尼希斯伯格桥问题解决方案的欧洲著名数学家莱昂哈德-欧勒是否是图论的真正发明者。最后还强调了将沙画纳入学校课程的可能性。总之,本文旨在让读者认识到民族数学研究的重要性,并欣赏原住民的智慧。
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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.
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