Mathematics as a Cultural System
Title | Mathematics as a Cultural System PDF eBook |
Author | Raymond L. Wilder |
Publisher | Elsevier |
Pages | 195 |
Release | 2014-05-20 |
Genre | Social Science |
ISBN | 1483100618 |
Mathematics as a Cultural System discusses the relationship between mathematics and culture. The book is comprised of eight chapters discussing topics that support the concept of mathematics as a cultural system. Chapter I deals with the nature of culture and cultural systems, while Chapter 2 provides examples of cultural patterns observable in the evolution of mechanics. Chapter III treats historical episodes as a laboratory for the illustration of patterns and forces that have been operative in cultural change. Chapter IV covers hereditary stress, and Chapter V discusses consolidation as a force and process. Chapter VI talks about the singularities in the evolution of mechanics, while Chapter 7 deals with the laws governing the evolution of mathematics. Chapter VIII tackles the role and future of mathematics. The book will be of great interest to readers who are curious about how mathematics relates to culture.
Mathematics as a Cultural System
Title | Mathematics as a Cultural System PDF eBook |
Author | Raymond Louis Wilder |
Publisher | |
Pages | 182 |
Release | 1981 |
Genre | |
ISBN |
Introduction to Cultural Mathematics
Title | Introduction to Cultural Mathematics PDF eBook |
Author | Thomas E. Gilsdorf |
Publisher | John Wiley & Sons |
Pages | 323 |
Release | 2012-04-17 |
Genre | Mathematics |
ISBN | 111811552X |
INTRODUCTION TO CULTURAL MATHEMATICS Challenges readers to think creatively about mathematics and ponder its role in their own daily lives Cultural mathematics, or ethnomathematics as it is also known, studies the relationship between mathematics and culture—with the ultimate goal of contributing to an appreciation of the connection between the two. Introduction to Cultural Mathematics: With Case Studies in the Otomies and Incas integrates both theoretical and applied aspects of the topic, promotes discussions on the development of mathematical concepts, and provides a comprehensive reference for teaching and learning about multicultural mathematical practices. This illuminating book provides a nontraditional, evidence-based approach to mathematics that promotes diversity and respect for cultural heritages. Part One covers such major concepts as cultural aspects of mathematics, numeration and number symbols, kinship relations, art and decoration, games, divination, and calendars. Part Two takes those concepts and applies them to fascinating case studies of both the Otomies of Central Mexico and the Incas of South America. Throughout the book, numerous illustrations, examples, and motivational questions promote an interactive understanding of the topic. Each chapter begins with questions that encourage a cooperative, inquiry-based approach to learning and concludes with a series of exercises that allow readers to test their understanding of the presented material. Introduction to Cultural Mathematics is an ideal book for courses on cultural mathematics, the history of mathematics, and cultural studies. The book is also a valuable resource and reference for anyone interested in the connections between mathematics, culture, anthropology, and history.
Mathematics Across Cultures
Title | Mathematics Across Cultures PDF eBook |
Author | Helaine Selin |
Publisher | Springer Science & Business Media |
Pages | 489 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 9401143013 |
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.
Science and an African Logic
Title | Science and an African Logic PDF eBook |
Author | Helen Verran |
Publisher | University of Chicago Press |
Pages | 289 |
Release | 2001-12-15 |
Genre | Philosophy |
ISBN | 0226853918 |
Does two and two equal four? Ask someone and they should answer yes. An equation such as this seems the very definition of certainty, but is it? In this book, Helen Verran addresses precisely that question.
Ethnomathematics
Title | Ethnomathematics PDF eBook |
Author | Marcia Ascher |
Publisher | CRC Press |
Pages | 218 |
Release | 1994-05-01 |
Genre | Mathematics |
ISBN | 9780412989414 |
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.
Current and Future Perspectives of Ethnomathematics as a Program
Title | Current and Future Perspectives of Ethnomathematics as a Program PDF eBook |
Author | Milton Rosa |
Publisher | Springer |
Pages | 50 |
Release | 2016-04-05 |
Genre | Education |
ISBN | 3319301209 |
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.