Ethnomathematics A Multicultural View Of Mathematical Ideas

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Ethnomathematics

Author : Marcia Ascher
Publisher : CRC Press
ISBN 13 : 9780412989414
Total Pages : 218 pages
Book Rating : 4.9/5 (894 download)

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Book Synopsis Ethnomathematics by : Marcia Ascher

Download or read book Ethnomathematics written by Marcia Ascher and published by CRC Press. This book was released on 1994-05-01 with total page 218 pages. 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.

Ethnomathematics

Author : Marcia Ascher
Publisher :
ISBN 13 : 9780203756522
Total Pages : 203 pages
Book Rating : 4.7/5 (565 download)

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Book Synopsis Ethnomathematics by : Marcia Ascher

Download or read book Ethnomathematics written by Marcia Ascher and published by . This book was released on 1998 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ethnomathematics

Author : Arthur B. Powell
Publisher : SUNY Press
ISBN 13 : 9780791433515
Total Pages : 466 pages
Book Rating : 4.4/5 (335 download)

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Book Synopsis Ethnomathematics by : Arthur B. Powell

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.

Mathematics Elsewhere

Author : Marcia Ascher
Publisher : Princeton University Press
ISBN 13 : 0691187649
Total Pages : 220 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics Elsewhere by : Marcia Ascher

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 220 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.

Current and Future Perspectives of Ethnomathematics as a Program

Author : Milton Rosa
Publisher : Springer
ISBN 13 : 3319301209
Total Pages : 50 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Current and Future Perspectives of Ethnomathematics as a Program by : Milton Rosa

Download or read book Current and Future Perspectives of Ethnomathematics as a Program written by Milton Rosa and published by Springer. This book was released on 2016-04-05 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Encyclopedia of Mathematics Education

Author : Stephen Lerman
Publisher : Springer
ISBN 13 : 9783030157883
Total Pages : 916 pages
Book Rating : 4.1/5 (578 download)

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Book Synopsis Encyclopedia of Mathematics Education by : Stephen Lerman

Download or read book Encyclopedia of Mathematics Education written by Stephen Lerman and published by Springer. This book was released on 2020-02-07 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Mathematics Education is a comprehensive reference text, covering every topic in the field with entries ranging from short descriptions to much longer pieces where the topic warrants more elaboration. The entries provide access to theories and to research in the area and refer to the leading publications for further reading. The Encyclopedia is aimed at graduate students, researchers, curriculum developers, policy makers, and others with interests in the field of mathematics education. It is planned to be 700 pages in length in its hard copy form but the text will subsequently be up-dated and developed on-line in a way that retains the integrity of the ideas, the responsibility for which will be in the hands of the Editor-in-Chief and the Editorial Board. This second edition will include additional entries on: new ideas in the politics of mathematics education, working with minority students, mathematics and art, other cross-disciplinary studies, studies in emotions and mathematics, new frameworks for analysis of mathematics classrooms, and using simulations in mathematics teacher education. Existing entries will be revised and new entries written. Members of the international mathematics education research community will be invited to propose new entries. Editorial Board: Bharath Sriraman Melony Graven Yoshinori Shimizu Ruhama Even Michele Artigue Eva Jablonka Wish to Become an Author? Springer's Encyclopedia of Mathematics Education's first edition was published in 2014. The Encyclopedia is a "living" project and will continue to accept articles online as part of an eventual second edition. Articles will be peer-reviewed in a timely manner and, if found acceptable, will be immediately published online. Suggested articles are, of course, welcome. Feel encouraged to think about additional topics that we overlooked the first time around, and to suggest colleagues (including yourself!) who will want to write them. Interested new authors should contact the editor in chief, Stephen Lerman, at [email protected], for more specific instructions.

Africa Counts

Author : Claudia Zaslavsky
Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Africa Counts by : Claudia Zaslavsky

Download or read book Africa Counts written by Claudia Zaslavsky and published by . This book was released on 1990 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Study by a mathematical scholar on the ways in which African people count, keep time and records, play games, use geometry in art and architecture, etc. Based on research in Nigeria and East Africa.

Mathematical Enculturation

Author : Alan Bishop
Publisher : Springer Science & Business Media
ISBN 13 : 940092657X
Total Pages : 210 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Mathematical Enculturation by : Alan Bishop

Download or read book Mathematical Enculturation written by Alan Bishop and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Cultural Development of Mathematical Ideas

Author : Geoffrey B. Saxe
Publisher : Cambridge University Press
ISBN 13 : 1139560239
Total Pages : 399 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Cultural Development of Mathematical Ideas by : Geoffrey B. Saxe

Download or read book Cultural Development of Mathematical Ideas written by Geoffrey B. Saxe and published by Cambridge University Press. This book was released on 2012-09-28 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing upon field studies conducted in 1978, 1980 and 2001 with the Oksapmin, a remote Papua New Guinea group, Geoffrey B. Saxe traces the emergence of new forms of numerical representations and ideas in the social history of the community. In traditional life, the Oksapmin used a counting system that makes use of twenty-seven parts of the body; there is no evidence that the group used arithmetic in prehistory. As practices of economic exchange and schooling have shifted, children and adults unwittingly reproduced and altered the system in order to solve new kinds of numerical and arithmetical problems, a process that has led to new forms of collective representations in the community. While Dr Saxe's focus is on the Oksapmin, the insights and general framework he provides are useful for understanding shifting representational forms and emerging cognitive functions in any human community.

Mathematics Education

Author : Jacqueline Dewar
Publisher : Springer
ISBN 13 : 3319449508
Total Pages : 382 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Mathematics Education by : Jacqueline Dewar

Download or read book Mathematics Education written by Jacqueline Dewar and published by Springer. This book was released on 2016-11-26 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many in the mathematics community in the U.S. are involved in mathematics education in various capacities. This book highlights the breadth of the work in K-16 mathematics education done by members of US departments of mathematical sciences. It contains contributions by mathematicians and mathematics educators who do work in areas such as teacher education, quantitative literacy, informal education, writing and communication, social justice, outreach and mentoring, tactile learning, art and mathematics, ethnomathematics, scholarship of teaching and learning, and mathematics education research. Contributors describe their work, its impact, and how it is perceived and valued. In addition, there is a chapter, co-authored by two mathematicians who have become administrators, on the challenges of supporting, evaluating, and rewarding work in mathematics education in departments of mathematical sciences. This book is intended to inform the readership of the breadth of the work and to encourage discussion of its value in the mathematical community. The writing is expository, not technical, and should be accessible and informative to a diverse audience. The primary readership includes all those in departments of mathematical sciences in two or four year colleges and universities, and their administrators, as well as graduate students. Researchers in education may also find topics of interest. Other potential readers include those doing work in mathematics education in schools of education, and teachers of secondary or middle school mathematics as well as those involved in their professional development.

The Social Life of Numbers

Author : Gary Urton
Publisher : University of Texas Press
ISBN 13 : 0292786840
Total Pages : 294 pages
Book Rating : 4.2/5 (927 download)

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Book Synopsis The Social Life of Numbers by : Gary Urton

Download or read book The Social Life of Numbers written by Gary Urton and published by University of Texas Press. This book was released on 2010-07-05 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unraveling all the mysteries of the khipu--the knotted string device used by the Inka to record both statistical data and narrative accounts of myths, histories, and genealogies--will require an understanding of how number values and relations may have been used to encode information on social, familial, and political relationships and structures. This is the problem Gary Urton tackles in his pathfinding study of the origin, meaning, and significance of numbers and the philosophical principles underlying the practice of arithmetic among Quechua-speaking peoples of the Andes. Based on fieldwork in communities around Sucre, in south-central Bolivia, Urton argues that the origin and meaning of numbers were and are conceived of by Quechua-speaking peoples in ways similar to their ideas about, and formulations of, gender, age, and social relations. He also demonstrates that their practice of arithmetic is based on a well-articulated body of philosophical principles and values that reflects a continuous attempt to maintain balance, harmony, and equilibrium in the material, social, and moral spheres of community life.

Philosophical Dimensions in Mathematics Education

Author : Karen Francois
Publisher : Springer Science & Business Media
ISBN 13 : 0387715754
Total Pages : 235 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Philosophical Dimensions in Mathematics Education by : Karen Francois

Download or read book Philosophical Dimensions in Mathematics Education written by Karen Francois and published by Springer Science & Business Media. This book was released on 2007-11-15 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together diverse recent developments exploring the philosophy of mathematics in education. The unique combination of ethnomathematics, philosophy, history, education, statistics and mathematics offers a variety of different perspectives from which existing boundaries in mathematics education can be extended. The ten chapters in this book offer a balance between philosophy of and philosophy in mathematics education. Attention is paid to the implementation of a philosophy of mathematics within the mathematics curriculum.

Conceptual and Procedural Knowledge

Author : James Hiebert
Publisher : Routledge
ISBN 13 : 1136559833
Total Pages : 357 pages
Book Rating : 4.1/5 (365 download)

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Book Synopsis Conceptual and Procedural Knowledge by : James Hiebert

Download or read book Conceptual and Procedural Knowledge written by James Hiebert and published by Routledge. This book was released on 2013-08-21 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 1986. This book is intended for those people who are interested in how mathematics is learned. It is intended especially for those who are interested in the mental processes involved in becoming mathematically competent and the mental processes that inhibit such competency from developing. The volume opens with an overview of the issue and then traces the relationships between conceptual and procedural knowledge in mathematics from preschool days through the years of formal schooling. Mathematics educators and cognitive psychologists from a variety of perspectives contribute theoretical arguments and empirical data to illuminate the nature of the relationships and, in tum, the nature of mathematics learning.

Mathematics Across Cultures

Author : Helaine Selin
Publisher : Springer Science & Business Media
ISBN 13 : 9401143013
Total Pages : 489 pages
Book Rating : 4.4/5 (11 download)

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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.

Applying Critical Mathematics Education

Author :
Publisher : BRILL
ISBN 13 : 9004465804
Total Pages : 296 pages
Book Rating : 4.0/5 (44 download)

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Book Synopsis Applying Critical Mathematics Education by :

Download or read book Applying Critical Mathematics Education written by and published by BRILL. This book was released on 2021-07-05 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume showcases new insights, teaching ideas and new and unique ways of applying critical mathematics education, in areas as diverse as climate change, obesity, decolonisation and ethnomathematics.

Ethnomathematics and its Diverse Approaches for Mathematics Education

Author : Milton Rosa
Publisher : Springer
ISBN 13 : 3319592203
Total Pages : 360 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Ethnomathematics and its Diverse Approaches for Mathematics Education by : Milton Rosa

Download or read book Ethnomathematics and its Diverse Approaches for Mathematics Education written by Milton Rosa and published by Springer. This book was released on 2017-07-25 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses numerous issues related to ethnomathematics and diverse approaches to it in the context of mathematics education. To help readers better understand the development of ethnomathematics, it discusses its objectives and assumptions with regard to promoting an ethics of respect, solidarity, and cooperation across and for all cultures. In turn, the book addresses a range of aspects including pedagogical action, culturally relevant pedagogy, innovative approaches to ethnomathematics, and the role of ethnomathematics in mathematics education. Ethnomathematics offers educators a valuable framework for transforming mathematics so that it can more actively contribute to realizing the dream of a just and humane society. As such, its primary goal is to forge mathematics into a powerful tool to help people create a society characterized by dignity for all, and in which iniquity, arrogance, violence, and bigotry have no place.

Critical Mathematics Education

Author : Paul Ernest
Publisher : IAP
ISBN 13 : 1681232618
Total Pages : 361 pages
Book Rating : 4.6/5 (812 download)

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Book Synopsis Critical Mathematics Education by : Paul Ernest

Download or read book Critical Mathematics Education written by Paul Ernest and published by IAP. This book was released on 2016-01-01 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is traditionally seen as the most neutral of disciplines, the furthest removed from the arguments and controversy of politics and social life. However, critical mathematics challenges these assumptions and actively attacks the idea that mathematics is pure, objective, and value?neutral. It argues that history, society, and politics have shaped mathematics—not only through its applications and uses but also through molding its concepts, methods, and even mathematical truth and proof, the very means of establishing truth. Critical mathematics education also attacks the neutrality of the teaching and learning of mathematics, showing how these are value?laden activities indissolubly linked to social and political life. Instead, it argues that the values of openness, dialogicality, criticality towards received opinion, empowerment of the learner, and social/political engagement and citizenship are necessary dimensions of the teaching and learning of mathematics, if it is to contribute towards democracy and social justice. This book draws together critical theoretic contributions on mathematics and mathematics education from leading researchers in the field. Recurring themes include: The natures of mathematics and critical mathematics education, issues of epistemology and ethics; Ideology, the hegemony of mathematics, ethnomathematics, and real?life education; Capitalism, globalization, politics, social class, habitus, citizenship and equity. The book demonstrates the links between these themes and the discipline of mathematics, and its critical teaching and learning. The outcome is a groundbreaking collection unified by a shared concern with critical perspectives of mathematics and education, and of the ways they impact on practice.