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Mathematics Elsewhere

2018-06-05 Mathematics
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Release : 2018-06-05
Genre : Mathematics
Kind : eBook
Book Rating : 649/5 ( reviews)

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Book Synopsis Mathematics Elsewhere by : Marcia Ascher

Download or read book Mathematics Elsewhere written by Marcia Ascher. This book was released on 2018-06-05. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Logos and Alogon

2023-01-16 Mathematics
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Release : 2023-01-16
Genre : Mathematics
Kind : eBook
Book Rating : 780/5 ( reviews)

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Book Synopsis Logos and Alogon by : Arkady Plotnitsky

Download or read book Logos and Alogon written by Arkady Plotnitsky. This book was released on 2023-01-16. Available in PDF, EPUB and Kindle. Book excerpt: This book is a philosophical study of mathematics, pursued by considering and relating two aspects of mathematical thinking and practice, especially in modern mathematics, which, having emerged around 1800, consolidated around 1900 and extends to our own time, while also tracing both aspects to earlier periods, beginning with the ancient Greek mathematics. The first aspect is conceptual, which characterizes mathematics as the invention of and working with concepts, rather than only by its logical nature. The second, Pythagorean, aspect is grounded, first, in the interplay of geometry and algebra in modern mathematics, and secondly, in the epistemologically most radical form of modern mathematics, designated in this study as radical Pythagorean mathematics. This form of mathematics is defined by the role of that which beyond the limits of thought in mathematical thinking, or in ancient Greek terms, used in the book’s title, an alogon in the logos of mathematics. The outcome of this investigation is a new philosophical and historical understanding of the nature of modern mathematics and mathematics in general. The book is addressed to mathematicians, mathematical physicists, and philosophers and historians of mathematics, and graduate students in these fields.

Globalized Curriculum Methods for Modern Mathematics Education

2018-07-27 Education
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Release : 2018-07-27
Genre : Education
Kind : eBook
Book Rating : 595/5 ( reviews)

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Book Synopsis Globalized Curriculum Methods for Modern Mathematics Education by : Tella, Adedeji

Download or read book Globalized Curriculum Methods for Modern Mathematics Education written by Tella, Adedeji. This book was released on 2018-07-27. Available in PDF, EPUB and Kindle. Book excerpt: The field of education is in constant flux as new theories and practices emerge to engage students and improve the learning experience. Globalization has created new challenges for mathematics educators as they are compelled to respond to the shifting patterns and practices of everyday life and stay abreast of the latest research in education, curriculum, development, and technologies. Globalized Curriculum Methods for Modern Mathematics Education is a comprehensive and timely publication that contains the latest research in mathematics education and modern globalized curriculum development and technologies. The book examines subjects such as teaching competencies, digital games for teaching and learning mathematics, and the challenges and prospects of globalized science curriculum. This is an ideal resource for educators, academicians, teachers, policy makers, researchers, and graduate-level students seeking to further their research in mathematics education.

Research in Mathematics Education in Australasia 2004 - 2007

2008-01-01 Education
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Release : 2008-01-01
Genre : Education
Kind : eBook
Book Rating : 017/5 ( reviews)

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Book Synopsis Research in Mathematics Education in Australasia 2004 - 2007 by :

Download or read book Research in Mathematics Education in Australasia 2004 - 2007 written by . This book was released on 2008-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Every four years, beginning in 1984, the Mathematics Education Research Group of Australasia (MERGA) produces a review of Australasian research in mathematics education. The authors of the chapters in this volume have summarised and critiqued research conducted during the period 2004-2007.

Ethnomathematics

1994-05-01 Mathematics
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Release : 1994-05-01
Genre : Mathematics
Kind : eBook
Book Rating : 414/5 ( reviews)

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Book Synopsis Ethnomathematics by : Marcia Ascher

Download or read book Ethnomathematics written by Marcia Ascher. This book was released on 1994-05-01. Available in PDF, EPUB and Kindle. Book excerpt: 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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