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.
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.
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.
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).
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.
Download or read book Mathematics of Blood Quantum written by Esther Pearson and published by . This book was released on 2019-02-08 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Native Americans are subjected to ethnic identification through blood quantum measurement. A historic as well as a present-day fact, measurement of blood quantum is a reflection of the on-going injustice suffered by Native Americans within American society. This comparative characterization reduces people to a fractionalized existence on many levels, including social, civil, and economic ones. One of the greatest injustices, however, is on the human level--it destroys the fabric of Native American culture, language, and familial relationships. This book reviews the chronology of the Native American for self-identification and the mathematical calculations that have been used to identify and marginalize their existence.
Download or read book Perspectives on Indigenous People of North America written by Judith Elaine Hankes and published by National Council of Teachers of English. This book was released on 2002 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Helps develop a deeper understanding of indigenous people's mathematics and pedagogy. Explores native cultures and mathematics learning and discusses culturally relevant assessment and mathematics activities.
Download or read book Native American Culture Across the Math Science Curriculum written by and published by . This book was released on 1992* with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Voices of Native American Educators written by Sheila T. Gregory and published by Rowman & Littlefield. This book was released on 2013 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Voices of Native American Indian Educators: Integrating History, Culture, and Language to Improve Learning Outcomes for Native American Indian Students, edited by Sheila T. Gregory, provides vivid, comprehensive portraits, as well as scholarly quantitative and qualitative rese...
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.
Download or read book Mathematics Elsewhere written by Marcia Ascher and published by Princeton University Press. This book was released on 2018-06-05 with total page pages. 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.
Download or read book Removable Type written by Phillip H. Round and published by Univ of North Carolina Press. This book was released on 2010-10-11 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1663, the Puritan missionary John Eliot, with the help of a Nipmuck convert whom the English called James Printer, produced the first Bible printed in North America. It was printed not in English but in Algonquian, making it one of the first books printed in a Native language. In this ambitious and multidisciplinary work, Phillip Round examines the relationship between Native Americans and printed books over a two-hundred-year period, uncovering the individual, communal, regional, and political contexts for Native peoples' use of the printed word. From the northeastern woodlands to the Great Plains, Round argues, alphabetic literacy and printed books mattered greatly in the emergent, transitional cultural formations of indigenous nations threatened by European imperialism. Removable Type showcases the varied ways that Native peoples produced and utilized printed texts over time, approaching them as both opportunity and threat. Surveying this rich history, Round addresses such issues as the role of white missionaries and Christian texts in the dissemination of print culture in Indian Country, the establishment of "national" publishing houses by tribes, the production and consumption of bilingual texts, the importance of copyright in establishing Native intellectual sovereignty (and the sometimes corrosive effects of reprinting thereon), and the significance of illustrations.
Download or read book Voices of Native American Educators written by Sheila T. Gregory and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a portrait of best practices for Native American students, as experienced by Native American educators. Based primarily on research studies, both quantitative and qualitative, that offers practical strategies for teachers to improve the academic performance of Native American students. From publisher description.
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.
Download or read book A Wealth of Numbers written by Benjamin Wardhaugh and published by Princeton University Press. This book was released on 2012-04-29 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: An entertaining and informative anthology of popular math writing from the Renaissance to cyberspace Despite what we may sometimes imagine, popular mathematics writing didn't begin with Martin Gardner. In fact, it has a rich tradition stretching back hundreds of years. This entertaining and enlightening antholog—the first of its kind—gathers nearly one hundred fascinating selections from the past 500 years of popular math writing, bringing to life a little-known side of math history. Ranging from the late fifteenth to the late twentieth century, and drawing from books, newspapers, magazines, and websites, A Wealth of Numbers includes recreational, classroom, and work mathematics; mathematical histories and biographies; accounts of higher mathematics; explanations of mathematical instruments; discussions of how math should be taught and learned; reflections on the place of math in the world; and math in fiction and humor. Featuring many tricks, games, problems, and puzzles, as well as much history and trivia, the selections include a sixteenth-century guide to making a horizontal sundial; "Newton for the Ladies" (1739); Leonhard Euler on the idea of velocity (1760); "Mathematical Toys" (1785); a poetic version of the rule of three (1792); "Lotteries and Mountebanks" (1801); Lewis Carroll on the game of logic (1887); "Maps and Mazes" (1892); "Einstein's Real Achievement" (1921); "Riddles in Mathematics" (1945); "New Math for Parents" (1966); and "PC Astronomy" (1997). Organized by thematic chapters, each selection is placed in context by a brief introduction. A unique window into the hidden history of popular mathematics, A Wealth of Numbers will provide many hours of fun and learning to anyone who loves popular mathematics and science.
Download or read book Native American Bilingual Education written by Cheryl K. Crawley and published by Emerald Group Publishing. This book was released on 2020-11-06 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: For over thirty years, a political and social battle over bilingual education raged in the U.S. This book, a period piece rich in political, historical, and local western context, is the story of language, education, inequality and power clashes between the dominant society and the Crow Indian Reservation of Montana.
Download or read book Ethnomathematics written by Arthur B. Powell and published by SUNY Press. This book was released on 1997-01-01 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the emerging field of ethnomathematics from a critical perspective, challenging particular ways in which Eurocentrism permeates mathematics education and mathematics in general.
