Native American Mathematics

Native American Mathematics

Author: Michael P. Closs

Publisher: University of Texas Press

Published: 2010-06-28

Total Pages: 444

ISBN-13: 0292789815

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There is no question that native cultures in the New World exhibit many forms of mathematical development. This Native American mathematics can best be described by considering the nature of the concepts found in a variety of individual New World cultures. Unlike modern mathematics in which numbers and concepts are expressed in a universal mathematical notation, the numbers and concepts found in native cultures occur and are expressed in many distinctive ways. Native American Mathematics, edited by Michael P. Closs, is the first book to focus on mathematical development indigenous to the New World. Spanning time from the prehistoric to the present, the thirteen essays in this volume attest to the variety of mathematical development present in the Americas. The data are drawn from cultures as diverse as the Ojibway, the Inuit (Eskimo), and the Nootka in the north; the Chumash of Southern California; the Aztec and the Maya in Mesoamerica; and the Inca and Jibaro of South America. Among the strengths of this collection are this diversity and the multidisciplinary approaches employed to extract different kinds of information. The distinguished contributors include mathematicians, linguists, psychologists, anthropologists, and archaeologists.


Book Synopsis Native American Mathematics by : Michael P. Closs

Download or read book Native American Mathematics written by Michael P. Closs and published by University of Texas Press. This book was released on 2010-06-28 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is no question that native cultures in the New World exhibit many forms of mathematical development. This Native American mathematics can best be described by considering the nature of the concepts found in a variety of individual New World cultures. Unlike modern mathematics in which numbers and concepts are expressed in a universal mathematical notation, the numbers and concepts found in native cultures occur and are expressed in many distinctive ways. Native American Mathematics, edited by Michael P. Closs, is the first book to focus on mathematical development indigenous to the New World. Spanning time from the prehistoric to the present, the thirteen essays in this volume attest to the variety of mathematical development present in the Americas. The data are drawn from cultures as diverse as the Ojibway, the Inuit (Eskimo), and the Nootka in the north; the Chumash of Southern California; the Aztec and the Maya in Mesoamerica; and the Inca and Jibaro of South America. Among the strengths of this collection are this diversity and the multidisciplinary approaches employed to extract different kinds of information. The distinguished contributors include mathematicians, linguists, psychologists, anthropologists, and archaeologists.

Native American Pedagogy and Cognitive-Based Mathematics Instruction

Native American Pedagogy and Cognitive-Based Mathematics Instruction

Author: Judith T. Hankes

Publisher: Routledge

Published: 2019-05-20

Total Pages: 168

ISBN-13: 1317732766

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Native American Pedagogydetails a study that investigated the teaching of mathematics to Oneida Indian kindergartners. This study proves that Native American children who are taught with culturally sensitive methods will perform more successfully on mathematical problem solving tasks, and that Cognitively Guided Instruction, an approach that provides teachers with research-based knowledge of how children learn mathematics, enables such culturally sensitive teaching methods.


Book Synopsis Native American Pedagogy and Cognitive-Based Mathematics Instruction by : Judith T. Hankes

Download or read book Native American Pedagogy and Cognitive-Based Mathematics Instruction written by Judith T. Hankes and published by Routledge. This book was released on 2019-05-20 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Native American Pedagogydetails a study that investigated the teaching of mathematics to Oneida Indian kindergartners. This study proves that Native American children who are taught with culturally sensitive methods will perform more successfully on mathematical problem solving tasks, and that Cognitively Guided Instruction, an approach that provides teachers with research-based knowledge of how children learn mathematics, enables such culturally sensitive teaching methods.

Mathematics Across Cultures

Mathematics Across Cultures

Author: Helaine Selin

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 489

ISBN-13: 9401143013

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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.


Book Synopsis Mathematics Across Cultures by : Helaine Selin

Download or read book Mathematics Across Cultures written by Helaine Selin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 in India

Mathematics in India

Author: Kim Plofker

Publisher: Princeton University Press

Published: 2009-01-18

Total Pages: 386

ISBN-13: 9780691120676

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Based on extensive research in Sanskrit sources, Mathematics in India chronicles the development of mathematical techniques and texts in South Asia from antiquity to the early modern period. Kim Plofker reexamines the few facts about Indian mathematics that have become common knowledge--such as the Indian origin of Arabic numerals--and she sets them in a larger textual and cultural framework. The book details aspects of the subject that have been largely passed over in the past, including the relationships between Indian mathematics and astronomy, and their cross-fertilizations with Islamic scientific traditions. Plofker shows that Indian mathematics appears not as a disconnected set of discoveries, but as a lively, diverse, yet strongly unified discipline, intimately linked to other Indian forms of learning. Far more than in other areas of the history of mathematics, the literature on Indian mathematics reveals huge discrepancies between what researchers generally agree on and what general readers pick up from popular ideas. This book explains with candor the chief controversies causing these discrepancies--both the flaws in many popular claims, and the uncertainties underlying many scholarly conclusions. Supplementing the main narrative are biographical resources for dozens of Indian mathematicians; a guide to key features of Sanskrit for the non-Indologist; and illustrations of manuscripts, inscriptions, and artifacts. Mathematics in India provides a rich and complex understanding of the Indian mathematical tradition. **Author's note: The concept of "computational positivism" in Indian mathematical science, mentioned on p. 120, is due to Prof. Roddam Narasimha and is explored in more detail in some of his works, including "The Indian half of Needham's question: some thoughts on axioms, models, algorithms, and computational positivism" (Interdisciplinary Science Reviews 28, 2003, 1-13).


Book Synopsis Mathematics in India by : Kim Plofker

Download or read book Mathematics in India written by Kim Plofker and published by Princeton University Press. This book was released on 2009-01-18 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on extensive research in Sanskrit sources, Mathematics in India chronicles the development of mathematical techniques and texts in South Asia from antiquity to the early modern period. Kim Plofker reexamines the few facts about Indian mathematics that have become common knowledge--such as the Indian origin of Arabic numerals--and she sets them in a larger textual and cultural framework. The book details aspects of the subject that have been largely passed over in the past, including the relationships between Indian mathematics and astronomy, and their cross-fertilizations with Islamic scientific traditions. Plofker shows that Indian mathematics appears not as a disconnected set of discoveries, but as a lively, diverse, yet strongly unified discipline, intimately linked to other Indian forms of learning. Far more than in other areas of the history of mathematics, the literature on Indian mathematics reveals huge discrepancies between what researchers generally agree on and what general readers pick up from popular ideas. This book explains with candor the chief controversies causing these discrepancies--both the flaws in many popular claims, and the uncertainties underlying many scholarly conclusions. Supplementing the main narrative are biographical resources for dozens of Indian mathematicians; a guide to key features of Sanskrit for the non-Indologist; and illustrations of manuscripts, inscriptions, and artifacts. Mathematics in India provides a rich and complex understanding of the Indian mathematical tradition. **Author's note: The concept of "computational positivism" in Indian mathematical science, mentioned on p. 120, is due to Prof. Roddam Narasimha and is explored in more detail in some of his works, including "The Indian half of Needham's question: some thoughts on axioms, models, algorithms, and computational positivism" (Interdisciplinary Science Reviews 28, 2003, 1-13).

A History in Sum

A History in Sum

Author: Steve Nadis

Publisher: Harvard University Press

Published: 2013-11-01

Total Pages: 272

ISBN-13: 0674727894

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In the twentieth century, American mathematicians began to make critical advances in a field previously dominated by Europeans. Harvard’s mathematics department was at the center of these developments. A History in Sum is an inviting account of the pioneers who trailblazed a distinctly American tradition of mathematics—in algebraic geometry and topology, complex analysis, number theory, and a host of esoteric subdisciplines that have rarely been written about outside of journal articles or advanced textbooks. The heady mathematical concepts that emerged, and the men and women who shaped them, are described here in lively, accessible prose. The story begins in 1825, when a precocious sixteen-year-old freshman, Benjamin Peirce, arrived at the College. He would become the first American to produce original mathematics—an ambition frowned upon in an era when professors largely limited themselves to teaching. Peirce’s successors—William Fogg Osgood and Maxime Bôcher—undertook the task of transforming the math department into a world-class research center, attracting to the faculty such luminaries as George David Birkhoff. Birkhoff produced a dazzling body of work, while training a generation of innovators—students like Marston Morse and Hassler Whitney, who forged novel pathways in topology and other areas. Influential figures from around the world soon flocked to Harvard, some overcoming great challenges to pursue their elected calling. A History in Sum elucidates the contributions of these extraordinary minds and makes clear why the history of the Harvard mathematics department is an essential part of the history of mathematics in America and beyond.


Book Synopsis A History in Sum by : Steve Nadis

Download or read book A History in Sum written by Steve Nadis and published by Harvard University Press. This book was released on 2013-11-01 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the twentieth century, American mathematicians began to make critical advances in a field previously dominated by Europeans. Harvard’s mathematics department was at the center of these developments. A History in Sum is an inviting account of the pioneers who trailblazed a distinctly American tradition of mathematics—in algebraic geometry and topology, complex analysis, number theory, and a host of esoteric subdisciplines that have rarely been written about outside of journal articles or advanced textbooks. The heady mathematical concepts that emerged, and the men and women who shaped them, are described here in lively, accessible prose. The story begins in 1825, when a precocious sixteen-year-old freshman, Benjamin Peirce, arrived at the College. He would become the first American to produce original mathematics—an ambition frowned upon in an era when professors largely limited themselves to teaching. Peirce’s successors—William Fogg Osgood and Maxime Bôcher—undertook the task of transforming the math department into a world-class research center, attracting to the faculty such luminaries as George David Birkhoff. Birkhoff produced a dazzling body of work, while training a generation of innovators—students like Marston Morse and Hassler Whitney, who forged novel pathways in topology and other areas. Influential figures from around the world soon flocked to Harvard, some overcoming great challenges to pursue their elected calling. A History in Sum elucidates the contributions of these extraordinary minds and makes clear why the history of the Harvard mathematics department is an essential part of the history of mathematics in America and beyond.

Math with Bad Drawings

Math with Bad Drawings

Author: Ben Orlin

Publisher: Black Dog & Leventhal

Published: 2018-09-18

Total Pages: 556

ISBN-13: 0316509027

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A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.


Book Synopsis Math with Bad Drawings by : Ben Orlin

Download or read book Math with Bad Drawings written by Ben Orlin and published by Black Dog & Leventhal. This book was released on 2018-09-18 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

Calculating Brilliance

Calculating Brilliance

Author: Gerardo Aldana

Publisher: University of Arizona Press

Published: 2022-03-15

Total Pages: 465

ISBN-13: 0816542201

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This book contextualizes the discovery of a Venus astronomical pattern by a female Mayan astronomer at Chich'en Itza and the discovery's later adaptation and application at Mayapan. Calculating Brilliance brings different intellectual threads together across time and space, from the Classic to the Postclassic, the colonial period to the twenty-first century to offer a new vision for understanding Mayan astronomy.


Book Synopsis Calculating Brilliance by : Gerardo Aldana

Download or read book Calculating Brilliance written by Gerardo Aldana and published by University of Arizona Press. This book was released on 2022-03-15 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contextualizes the discovery of a Venus astronomical pattern by a female Mayan astronomer at Chich'en Itza and the discovery's later adaptation and application at Mayapan. Calculating Brilliance brings different intellectual threads together across time and space, from the Classic to the Postclassic, the colonial period to the twenty-first century to offer a new vision for understanding Mayan astronomy.

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Publisher:

Published:

Total Pages:

ISBN-13: 0691120226

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Download or read book written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

American Indian Education

American Indian Education

Author: Jon Reyhner

Publisher: University of Oklahoma Press

Published: 2015-01-07

Total Pages: 381

ISBN-13: 0806180404

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In this comprehensive history of American Indian education in the United States from colonial times to the present, historians and educators Jon Reyhner and Jeanne Eder explore the broad spectrum of Native experiences in missionary, government, and tribal boarding and day schools. This up-to-date survey is the first one-volume source for those interested in educational reform policies and missionary and government efforts to Christianize and “civilize” American Indian children. Drawing on firsthand accounts from teachers and students, American Indian Education considers and analyzes shifting educational policies and philosophies, paying special attention to the passage of the Native American Languages Act and current efforts to revitalize Native American cultures.


Book Synopsis American Indian Education by : Jon Reyhner

Download or read book American Indian Education written by Jon Reyhner and published by University of Oklahoma Press. This book was released on 2015-01-07 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this comprehensive history of American Indian education in the United States from colonial times to the present, historians and educators Jon Reyhner and Jeanne Eder explore the broad spectrum of Native experiences in missionary, government, and tribal boarding and day schools. This up-to-date survey is the first one-volume source for those interested in educational reform policies and missionary and government efforts to Christianize and “civilize” American Indian children. Drawing on firsthand accounts from teachers and students, American Indian Education considers and analyzes shifting educational policies and philosophies, paying special attention to the passage of the Native American Languages Act and current efforts to revitalize Native American cultures.

African Americans in Mathematics

African Americans in Mathematics

Author: Nathaniel Dean

Publisher: American Mathematical Soc.

Published: 1997

Total Pages: 221

ISBN-13: 0821806785

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This volume contains contains research and expository papers by African-American mathematicians on issues related to their involvement in the mathematical sciences. Little is known, taught, or written about African-American mathematicians. Information is lacking on their past and present contributions and on the qualitive nature of their existence in and distribution throughout mathematics. This lack of information leads to a number of questions that have to date remainedunanswered. This volume provides details and pointers to help answer some of these questions.


Book Synopsis African Americans in Mathematics by : Nathaniel Dean

Download or read book African Americans in Mathematics written by Nathaniel Dean and published by American Mathematical Soc.. This book was released on 1997 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contains research and expository papers by African-American mathematicians on issues related to their involvement in the mathematical sciences. Little is known, taught, or written about African-American mathematicians. Information is lacking on their past and present contributions and on the qualitive nature of their existence in and distribution throughout mathematics. This lack of information leads to a number of questions that have to date remainedunanswered. This volume provides details and pointers to help answer some of these questions.