Mathematics Elsewhere: An Exploration of Ideas Across Cultures - Hardcover

Ascher, Marcia

Hardcover

ISBN 10: 0691070202 ISBN 13: 9780691070209

Publisher: Princeton University Press, 2002

Synopsis

Mathematics Elsewhere is a fascinating and important contribution to a global view of mathematics. Presenting mathematical ideas of peoples from a variety of small-scale and traditional cultures, it humanizes our view of mathematics and expands our conception of what is mathematical.


Through engaging examples of how particular societies structure time, reach decisions about the future, make models and maps, systematize relationships, and create intriguing figures, Marcia Ascher demonstrates that traditional cultures have mathematical ideas that are far more substantial and sophisticated than is generally acknowledged. Malagasy divination rituals, for example, rely on complex algebraic algorithms. And some cultures use calendars far more abstract and elegant than our own. Ascher also shows that certain concepts assumed to be universal--that time is a single progression, for instance, or that equality is a static relationship--are not. The Basque notion of equivalence, for example, is a dynamic and temporal one not adequately captured by the familiar equal sign. Other ideas taken to be the exclusive province of professionally trained Western mathematicians are, in fact, shared by people in many societies.


The ideas discussed come from geographically varied cultures, including the Borana and Malagasy of Africa, the Tongans and Marshall Islanders of Oceania, the Tamil of South India, the Basques of Western Europe, and the Balinese and Kodi of Indonesia.


This book belongs on the shelves of mathematicians, math students, and math educators, and in the hands of anyone interested in traditional societies or how people think. Illustrating how mathematical ideas play a vital role in diverse human endeavors from navigation to social interaction to religion, it offers--through the vehicle of mathematics--unique cultural encounters to any reader.

About this title

About the Author

Marcia Ascher is Professor Emerita of Mathematics at Ithaca College. She is the coauthor of Code of the Quipu: A Study in Media, Mathematics, and Culture and the author of Ethnomathematics: A Multicultural View of Mathematical Ideas.

From the Back Cover

"Ascher's Ethnomathematics was excellent--a real landmark--and this book is at least as good. It makes us realize that our way of looking at mathematics can be completely different from those in other cultures. A wonderful book."--Peter Cameron, University of London

"This is a significant contribution to the recognized but still-emerging field of ethnomathematics. Its publication expands the available examples of mathematical ideas in traditional societies. In addition to being of interest to readers who look to the connection between culture and the development of ideas, this book should be of interest to educators at all levels who want to introduce students to diverse mathematical ideas."--Rick Scott, New Mexico State University

"Learning how others interpret time and space is extremely vital for citizenship in a globalized society. This book helps us understand how our neighbors and colleagues in an increasingly diverse world solve problems. This is a valuable and greatly needed book."--Daniel Clark Orey, Ph.D., California State University, Sacramento

From the Inside Flap

"Ascher's Ethnomathematics was excellent--a real landmark--and this book is at least as good. It makes us realize that our way of looking at mathematics can be completely different from those in other cultures. A wonderful book."--Peter Cameron, University of London

"This is a significant contribution to the recognized but still-emerging field of ethnomathematics. Its publication expands the available examples of mathematical ideas in traditional societies. In addition to being of interest to readers who look to the connection between culture and the development of ideas, this book should be of interest to educators at all levels who want to introduce students to diverse mathematical ideas."--Rick Scott, New Mexico State University

"Learning how others interpret time and space is extremely vital for citizenship in a globalized society. This book helps us understand how our neighbors and colleagues in an increasingly diverse world solve problems. This is a valuable and greatly needed book."--Daniel Clark Orey, Ph.D., California State University, Sacramento

Reviews

In a follow-up to Ascher's highly recommended Ethnomathematics, this scholarly work describes the anthropology of mathematical ideas in traditional societies and shows how the same ideas might be expressed by standard mathematical expressions. Examples include traditional calendars, fortune-telling devices, systems of family and societal relationships, stick-charts used as navigation maps by Polynesian cultures, and "kolam" sand paintings made by Tamil Nadu women in India. It is particularly interesting to see how people with no separate mathematical language made practical use of sophisticated mathematical ideas. For example, sikidy, an African method of divination, was used for hundreds of years before its mathematical ideas emerged in modern mathematics. While not ideal for young math students (they should check out Claudia Zaslavsky's Multicultural Math Classroom and Math Games & Activities from Around the World), this is an excellent choice for advanced math students.
Amy Brunvand, Univ. of Utah Lib., Salt Lake City
Copyright 2002 Reed Business Information, Inc.

Edition details

• Publisher: Princeton University Press
• Publication date: 2002
• Language: English
• ISBN 10: 0691070202
• ISBN 13: 9780691070209
• Binding: Hardcover
• Number of pages: 224