Ethnomathematics: A Multicultural View of Mathematical Ideas
In this truly one-of-a-kind book, Ascher introduces the mathematical ideas of people in traditional, or "small-scale", cultures often omitted from discussion of mathematics. Topics such as "Numbers: Words and Symbols", "Tracing Graphs in the Sand", "The Logic of Kin Relations", "Chance and Strategy in Games and Puzzles", and "The Organization and Modeling of Space" are traced in various cultures including the Inuit, Navajo, and Iroquois of North America; the Inca of South America; the Malekula, Warlpiri, Maori, and Caroline Islanders of Oceania, and the Tshokwe, Bushoong, and Kpelle of Africa.
As Ascher explores mathematical ideas involving numbers, logic, spatial configuration, and the organization of these into systems and structures, readers gain both a broader understanding and anappreciation for the idease of other peoples.
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A. C. Haddon African basic boat Bushoong Caroline Islands color combined concept context cords cycles decorations design symmetry diagram dihedral group direction discussed dots double bands drawing edges Ethnomathematics Eulerian paths example four games of strategy geometric glide reflect graph theory horizontal human implies Inca included Inuit involved kin system knots kowhaiwhai Kpelle labels language linguistic logical structure Malekula Maori markers mathematical ideas mathematicians matical matricycle motif motions move Native American Navajo nitus number words numeral classifiers objects odd vertices particular path player positional system possible problem processes puzzle quipus rafter patterns reference island regular graphs relationship result shown in Figure significant sona space space-time spatial specific star story straight line symmetry groups tion torere toss tracing procedures traditional translation Tshokwe University vertical reflection visual Warlpiri Western culture Western mathematics wind winning configurations