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Author : Arthur B. Powell,Marilyn Frankenstein
Publisher : SUNY Press
Page : 466 pages
File Size : 53,9 Mb
Release : 1997-01-01
Category : Mathematics
ISBN : 079143351X
Presents the emerging field of ethnomathematics from a critical perspective, challenging particular ways in which Eurocentrism permeates mathematics education and mathematics in general.
Author : Marcia Ascher
Publisher : CRC Press
Page : 218 pages
File Size : 43,7 Mb
Release : 1994-05-01
Category : Mathematics
ISBN : 0412989417
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.
Author : Ubiratan D'Ambrosio
Publisher : BRILL
Page : 101 pages
File Size : 44,6 Mb
Release : 2006-01-01
Category : Education
ISBN : 9789460911415
In this book, Ubiratan D’Ambrosio presents his most recent thoughts on ethnomathematics—a sub-field of mathematics history and mathematics education for which he is widely recognized to be one of the founding fathers.
Author : Eric Vandendriessche,Rik Pinxten
Publisher : Springer Nature
Page : 293 pages
File Size : 43,5 Mb
Release : 2023-02-14
Category : Education
ISBN : 9783030974824
The book presents a series of ethnographic studies, which illustrate issues of wider importance, such as the role of cultural traditions, concepts and learning procedures in the development of formal (or mathematical) thinking outside of the western tradition. It focuses on research at the crossroads of anthropology and ethnomathematics to document indigenous mathematical knowledge and its inclusion in specific cultural patterns. More generally, the book demonstrates the heuristic value of crossing ethnographical, anthropological and ethnomathematical approaches to highlight and analyze—or "formalize" with a pedagogical outlook—indigenous mathematical knowledge. The book is divided into three parts. The first part extensively analyzes theoretical claims using particular ethnographic data, while revealing the structural mathematical features of different ludic, graphic, or technical/procedural practices in their links to other cultural phenomena. In the second part, new empirical studies that add data and perspectives from the body of studies on indigenous knowledge systems to the ongoing discussions in mathematics education in and for diverse cultural traditions are presented. This part considers, on the one hand, the Brazilian work in this field; on the other hand, it brings ethnographic innovation from other parts of the world. The third part comprises a broad philosophical discussion of the impact of intuitive or "ontological" premises on mathematical thinking and education in the light of recent developments within so-called indigenously inspired thinking. Finally, the editors’ conclusions aim to invite the broad and diversified field of scholars in this domain of research to seek alternative approaches for understanding mathematical reasoning and the adjacent adequate educational goals and means. This book is of interest to scholars and students in anthropology, ethnomathematics, history and philosophy of science, mathematics, and mathematics education, as well as other individuals interested in these topics.
Author : Milton Rosa,Ubiratan D’Ambrosio,Daniel Clark Orey,Lawrence Shirley,Wilfredo V. Alangui,Pedro Palhares,Maria Elena Gavarrete
Publisher : Springer
Page : 45 pages
File Size : 52,9 Mb
Release : 2016-04-05
Category : Education
ISBN : 9783319301204
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.
Author : Milton Rosa,Cristiane Coppe de Oliveira
Publisher : Springer Nature
Page : 253 pages
File Size : 48,9 Mb
Release : 2020-08-10
Category : Education
ISBN : 9783030491727
This book presents a collection of ethnomathematical studies of diverse mathematical practices in Afro-Brazilian, indigenous, rural and urban communities in Brazil. Ethnomathematics as a research program aims to investigate the interrelationships of local mathematical knowledge sources with broader universal forms of mathematics to understand ideas, procedures, and practices found in distinct cultural groups. Based on this approach, the studies brought together in this volume show how this research program is applied and practiced in a culturally diverse country such as Brazil, where African, indigenous and European cultures have generated different forms of mathematical practice. These studies present ethnomathematics in action, as a tool to connect the study of mathematics with the students’ real life experiences, foster critical thinking and develop a mathematics curriculum which incorporates contributions from different cultural groups to enrich mathematical knowledge. By doing so, this volume shows how ethnomathematics can contribute in practice to the development of a decolonial mathematics education. Ethnomathematics in Action: Mathematical Practices in Brazilian Indigenous, Urban and Afro Communities will be of interest to educators and educational researchers looking for innovative approaches to develop a more inclusive, democratic, critical, multicultural and multiethnic mathematics education.
Author : Milton Rosa,Lawrence Shirley,Maria Elena Gavarrete,Wilfredo V. Alangui
Publisher : Springer
Page : 366 pages
File Size : 52,9 Mb
Release : 2017-07-25
Category : Education
ISBN : 9783319592206
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.
Author : Ada Katsap,Fredrick L. Silverman
Publisher : Springer
Page : 328 pages
File Size : 50,8 Mb
Release : 2015-12-17
Category : Education
ISBN : 9789462099500
Ethnomathematics of Negev Bedouins’ Existence in Forms, Symbols, and Geometric Patterns provokes a journey into the world of Negev Bedouins and attests to the beauty and sophistication of mathematics that occurs naturally in their craftwork, structures, games, and throughout Bedouin life. The major focus is Bedouin women’s traditional craftwork by which they reflect social and cultural activities in their weaving, embroidery, and similar pursuits. Their creations reveal mathematical ideas incorporated in embroidery compositions in repeated patterns of flowers and geometric figures in varying scales. The women use ground staked looms, stabilized by block-stones, to make multi-color, repeating pattern strip-rugs in a process practiced for generations. An image of this appears in the book’s cover photo collage. Bedouin men construct dwellings, tents, desert wells, and such. They and their children play games attuned to sand and other specific desert conditions. These activities of Bedouin women, men, and children require mathematical thinking and strategic reasoning to achieve desired outcomes. The book opens with a narrative of Bedouin history, followed by a brief overview of ethnomathematics, and concludes with discussion about bridging the gap between school mathematics experiences and those outside school. It considers mathematically problematic situations embedded in Bedouin sociocultural heritage likely to appeal to teachers for use with school students. The book is intended for a diverse audience from Bedouin communities in different countries to the general public and professionals, including ethnomathematicians and mathematics educators. Numerous photographs document the examples of Bedouin ethnomathematics. They are the subject of considerable analysis and appear throughout the book.
Author : Helaine Selin
Publisher : Springer Science & Business Media
Page : 489 pages
File Size : 42,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401143011
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.
Author : Nicholas J. Goetzfridt
Publisher : University of Hawaii Press
Page : 344 pages
File Size : 54,7 Mb
Release : 2007-09-20
Category : Social Science
ISBN : 9780824874643
This ground-breaking bibliography by distinguished Pacific researcher Nicholas Goetzfridt examines mathematical concepts and practices in Polynesia, Melanesia, and Micronesia. It covers number systems, counting, measuring, classifying, spatial relationships, symmetry, geometry, and other aspects of ethnomathematics in relation to a wide range of activities such as trade, education, navigation, construction, rituals and festivals, divination, weaving, tattooing, and music. In compiling nearly five hundred citations, Goetzfridt makes use of the vast resources of writing about the Pacific from the 1700s to the present. In addition to discussing Pacific knowledge systems in general, his introductory chapter includes a helpful overview of the relatively new field of ethnomathematics and important theoretical reflections on the discipline as a research program. Extensive subject and geographic indexes provide numerous ways to experience the rich heritage and history of Pacific ethnomathematical concepts covered in this book, including: the 256 possible knotted fates enabled by the Carolinian sky god Supwunumen, etak segmentation concepts in stellar based voyaging, the highly diverse counting systems of Papua New Guinea, the alignment of stone structures with stars to mark the appearance of the equinox and solstice, and contemporary educational issues in the standardized teaching of Western mathematics.
Author : Alan Bishop,M.A. (Ken) Clements,Christine Keitel-Kreidt,Jeremy Kilpatrick,Colette Laborde
Publisher : Springer Science & Business Media
Page : 1336 pages
File Size : 42,9 Mb
Release : 2012-12-06
Category : Education
ISBN : 9789400914650
ALAN J. BISHOP Monash University, Clayton, Victoria, Australia RATIONALE Mathematics Education is becoming a well-documented field with many books, journals and international conferences focusing on a variety of aspects relating to theory, research and practice. That documentation also reflects the fact that the field has expanded enormously in the last twenty years. At the 8th International Congress on Mathematics Education (ICME) in Seville, Spain, for example, there were 26 specialist Working Groups and 26 special ist Topic Groups, as well as a host of other group activities. In 1950 the 'Commission Internationale pour I 'Etude et l' Amelioration de l'Enseignement des Mathematiques' (CIEAEM) was formed and twenty years ago another active group, the 'International Group for the Psychology of Mathematics Education' (PME), began at the third ICME at Karlsruhe in 1976. Since then several other specialist groups have been formed, and are also active through regular conferences and publications, as documented in Edward Jacobsen's Chapter 34 in this volume.
Author : Marcelo C. Borba,Daniel C. Orey
Publisher : Springer Nature
Page : 325 pages
File Size : 55,5 Mb
Release : 2023-06-24
Category : Education
ISBN : 9783031312939
This edited volume is written in memoriam of Professor Emeritus Ubiratan D’Ambrosio (1932 – 2021), who was a well-known Brazilian mathematics educator and historian of mathematics. This book explores the diverse facets of D’Ambrosio’s work as well as his legacy and the later adaptation of his ideas around the globe. It starts with a preface written by his son, Alexandre D' Ambrosio, who shares his personal experiences growing up with this father and his love for discovery. The book is then divided into four sections: Past and Future: Ubi’s Way of Seeing Education in the Present Roots of Ethnomathematics Ethnomathematics in Action Trends in Ethnomathematics It features diverse points of view and experiences that explore mathematics and culture from researchers in the Americas, Africa, Europe and South Asia. Chapters range from personal explorations of D’Ambrosio’s impact to broader views of his research and work. This book forms part of the growing understanding of Ubiratan D’Ambrosio’s life, research, and the legacy he has left for millions of researchers, students and teachers worldwide. This book is appealing to anyone involved in mathematics education research as well as those interested in the history and future of mathematics education.
Author : Bill Atweh,Angela Calabrese Barton,Marcelo C. Borba,Noel Gough,Christine Keitel-Kreidt,Catherine Vistro-Yu,Renuka Vithal
Publisher : Springer Science & Business Media
Page : 552 pages
File Size : 55,8 Mb
Release : 2008-07-14
Category : Education
ISBN : 9781402087905
This book aims to develop theoretical frameworks of the phenomena of internationalisation and globalisation and identify related ethical, moral, political and economic issues facing mathematics and science educators. It provides a wide representation of views some of which are not often represented in international publications. This is the first book to deal with issues of globalisation and internationalisation in mathematics and science education.
Author : Murad Jurdak
Publisher : Springer
Page : 199 pages
File Size : 41,9 Mb
Release : 2016-05-30
Category : Education
ISBN : 9783319082042
The ultimate aim of this book is to identify the conceptual tools and the instructional modalities which enable students and teachers to cross the boundary between school mathematics and real world problem solving. The book identifies, examines, and integrates seven conceptual tools, of which five are constructs (activity theory, narrative, modeling, critical mathematics education, ethnomathematics) and two are contexts (STEM and the workplace). The author develops two closely linked multiple-perspective frameworks: one for learning real world problem solving in school mathematics, which sets the foundations of learning real world problem solving in school mathematics; and one for teaching real world problem solving in school mathematics, which explores the modalities of teaching real world problem solving in school mathematics. “The book is composed as, on the one hand, a high-level theoretical scholarly work on real world problem solving in school mathematics, and, on the other hand, a set of twelve narratives which, put together, constitute a thought-provoking and moving personal and professional autobiography.” - Mogens Niss “These narratives combine aspects of Murad’s personal trajectory as an individual with those points in his professional career at which he became aware of perspectives on and approaches to mathematics education that were both significant in and of themselves, and instrumental for the specific scholarly endeavor presented in the book.” - Mogens Niss
Author : Marcel Danesi
Publisher : Springer Nature
Page : 1392 pages
File Size : 51,7 Mb
Release : 2022-10-31
Category : Mathematics
ISBN : 9783031039454
Cognitive mathematics provides insights into how mathematics works inside the brain and how it is interconnected with other faculties through so-called blending and other associative processes. This handbook is the first large collection of various aspects of cognitive mathematics to be amassed into a single title, covering decades of connection between mathematics and other figurative processes as they manifest themselves in language, art, and even algorithms. It will be of use to anyone working in math cognition and education, with each section of the handbook edited by an international leader in that field.