Mathematics As A Cultural System
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Mathematics As A Cultural System
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Author : Raymond L. Wilder
language : en
Publisher: Elsevier
Release Date : 2014-05-20
Mathematics As A Cultural System written by Raymond L. Wilder and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-20 with Social Science categories.
Mathematics as a Cultural System discusses the relationship between mathematics and culture. The book is comprised of eight chapters discussing topics that support the concept of mathematics as a cultural system. Chapter I deals with the nature of culture and cultural systems, while Chapter 2 provides examples of cultural patterns observable in the evolution of mechanics. Chapter III treats historical episodes as a laboratory for the illustration of patterns and forces that have been operative in cultural change. Chapter IV covers hereditary stress, and Chapter V discusses consolidation as a force and process. Chapter VI talks about the singularities in the evolution of mechanics, while Chapter 7 deals with the laws governing the evolution of mathematics. Chapter VIII tackles the role and future of mathematics. The book will be of great interest to readers who are curious about how mathematics relates to culture.
Mathematics As A Cultural System
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Author : Raymond Louis Wilder
language : en
Publisher:
Release Date : 1981
Mathematics As A Cultural System written by Raymond Louis Wilder and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
Ethnomathematics
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Author : Marcia Ascher
language : en
Publisher: CRC Press
Release Date : 1994-05-01
Ethnomathematics written by Marcia Ascher and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-01 with Mathematics categories.
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.
Mathematical Enculturation
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Author : Alan Bishop
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Enculturation written by Alan Bishop and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Education categories.
Mathematics is in the unenviable position of being simultaneously one of the most important school subjects for today's children to study and one of the least well understood. Its reputation is awe-inspiring. Everybody knows how important it is and everybody knows that they have to study it. But few people feel comfortable with it; so much so that it is socially quite acceptable in many countries to confess ignorance about it, to brag about one's incompe tence at doing it, and even to claim that one is mathophobic! So are teachers around the world being apparently legal sadists by inflicting mental pain on their charges? Or is it that their pupils are all masochists, enjoying the thrill of self-inflicted mental torture? More seriously, do we really know what the reasons are for the mathematical activity which goes on in schools? Do we really have confidence in our criteria for judging what's important and what isn't? Do we really know what we should be doing? These basic questions become even more important when considered in the context of two growing problem areas. The first is a concern felt in many countries about the direction which mathematics education should take in the face of the increasing presence of computers and calculator-related technol ogy in society.
Introduction To Cultural Mathematics
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Author : Thomas E. Gilsdorf
language : en
Publisher: John Wiley & Sons
Release Date : 2012-02-24
Introduction To Cultural Mathematics written by Thomas E. Gilsdorf and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-24 with Mathematics categories.
Challenges readers to think creativelyabout mathematics and ponder its role in their own daily lives Cultural mathematics, or ethnomathematics as it is also known, studies the relationship between mathematics and culture—with the ultimate goal of contributing to an appreciation of the connection between the two. Introduction to Cultural Mathematics: With Case Studies in the Otomies and Incas integrates both theoretical and applied aspects of the topic, promotes discussions on the development of mathematical concepts, and provides a comprehensive reference for teaching and learning about multicultural mathematical practices. This illuminating book provides a nontraditional, evidence-based approach to mathematics that promotes diversity and respect for cultural heritages. Part One covers such major concepts as cultural aspects of mathematics, numeration and number symbols, kinship relations, art and decoration, games, divination, and calendars. Part Two takes those concepts and applies them to fascinating case studies of both the Otomies of Central Mexico and the Incas of South America. Throughout the book, numerous illustrations, examples, and motivational questions promote an interactive understanding of the topic. Each chapter begins with questions that encourage a cooperative, inquiry-based approach to learning and concludes with a series of exercises that allow readers to test their understanding of the presented material. Introduction to Cultural Mathematics is an ideal book for courses on cultural mathematics, the history of mathematics, and cultural studies. The book is also a valuable resource and reference for anyone interested in the connections between mathematics, culture, anthropology, and history.
Mathematics And Culture I
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Author : Michele Emmer
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-12-02
Mathematics And Culture I written by Michele Emmer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-02 with Science categories.
A fascinating and insightful collection of papers on the strong links between mathematics and culture. The contributions range from cinema and theatre directors to musicians, architects, historians, physicians, graphic designers and writers. The text highlights the cultural and formative character of mathematics, its educational value, and imaginative dimension. These articles are highly interesting, sometimes amusing, and make excellent starting points for researching the strong connection between scientific and literary culture.
Mathematics Education In Different Cultural Traditions A Comparative Study Of East Asia And The West
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Author : Frederick Koon-Shing Leung
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-02
Mathematics Education In Different Cultural Traditions A Comparative Study Of East Asia And The West written by Frederick Koon-Shing Leung and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-02 with Education categories.
The idea of the ICMI Study 13 is outlined as follows: Education in any social environment is influenced in many ways by the traditions of these environments. This study brings together leading experts to research and report on mathematics education in a global context. Mathematics education faces a split phenomenon of difference and correspondence. A study attempting a comparison between mathematics education in different traditions will be helpful to understanding this phenomenon.
Mathematics Across Cultures
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Author : Helaine Selin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematics Across Cultures written by Helaine Selin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.
Mathematics Elsewhere
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Author : Marcia Ascher
language : en
Publisher: Princeton University Press
Release Date : 2018-06-05
Mathematics Elsewhere written by Marcia Ascher and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-05 with Mathematics categories.
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.
Current And Future Perspectives Of Ethnomathematics As A Program
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Author : Milton Rosa
language : en
Publisher: Springer
Release Date : 2016-04-05
Current And Future Perspectives Of Ethnomathematics As A Program written by Milton Rosa and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-05 with Education categories.
This survey on the modernity of ethnomathematics addresses numerous themes related to both ethnomathematics and mathematics education. It offers a broader view of mathematics, including ideas, procedures, concepts, processes, methods, and practices rooted in distinct cultural environments. In addition, by reflecting on the social and political dimensions of ethnomathematics, another important aspect of this research program is the development of innovative approaches for a dynamic and glocalized society. Ethnomathematics recognizes that members of different cultures develop unique mathematical techniques, methods, and explanations that allow for an alternative understanding and transformation of societal norms. The theoretical basis of ethnomathematics offers a valid alternative to traditional studies of history, philosophy, cognition, and pedagogical aspects of mathematics. The current agenda for ethnomathematics is to continue an ongoing, progressive trajectory that contributes to the achievement of social justice, peace, and dignity for all. The debates outlined in this book share a few of the key ideas that provide for a clearer understanding of the field of ethnomathematics and its current state of the art by discussing its pedagogical actions, its contributions for teacher education, and its role in mathematics education.