Mathematics As A Cultural System

Author : Raymond L. Wilder
Publisher : Elsevier
Page : 194 pages
File Size : 55,8 Mb
Release : 2014-05-20
Category : Political Science
ISBN : 9781483100616

Get Book

Mathematics as a Cultural System by Raymond L. Wilder Pdf

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.

Author : Raymond Louis Wilder
Publisher : Unknown
Page : 182 pages
File Size : 41,6 Mb
Release : 1981
Category : Electronic
ISBN : OCLC:1014631354

Get Book

Mathematics as a Cultural System by Raymond Louis Wilder Pdf

Author : Thomas Bedürftig,Roman Murawski
Publisher : Walter de Gruyter GmbH & Co KG
Page : 474 pages
File Size : 54,5 Mb
Release : 2018-10-26
Category : Mathematics
ISBN : 9783110468335

Get Book

Philosophy of Mathematics by Thomas Bedürftig,Roman Murawski Pdf

The present book is an introduction to the philosophy of mathematics. It asks philosophical questions concerning fundamental concepts, constructions and methods - this is done from the standpoint of mathematical research and teaching. It looks for answers both in mathematics and in the philosophy of mathematics from their beginnings till today. The reference point of the considerations is the introducing of the reals in the 19th century that marked an epochal turn in the foundations of mathematics. In the book problems connected with the concept of a number, with the infinity, the continuum and the infinitely small, with the applicability of mathematics as well as with sets, logic, provability and truth and with the axiomatic approach to mathematics are considered. In Chapter 6 the meaning of infinitesimals to mathematics and to the elements of analysis is presented. The authors of the present book are mathematicians. Their aim is to introduce mathematicians and teachers of mathematics as well as students into the philosophy of mathematics. The book is suitable also for professional philosophers as well as for students of philosophy, just because it approaches philosophy from the side of mathematics. The knowledge of mathematics needed to understand the text is elementary. Reports on historical conceptions. Thinking about today‘s mathematical doing and thinking. Recent developments. Based on the third, revised German edition. For mathematicians - students, teachers, researchers and lecturers - and readersinterested in mathematics and philosophy. Contents On the way to the reals On the history of the philosophy of mathematics On fundamental questions of the philosophy of mathematics Sets and set theories Axiomatic approach and logic Thinking and calculating infinitesimally – First nonstandard steps Retrospection

Author : Alan Bishop
Publisher : Springer Science & Business Media
Page : 169 pages
File Size : 49,8 Mb
Release : 2013-04-17
Category : Education
ISBN : 9789401722094

Get Book

Mathematics Education and Culture by Alan Bishop Pdf

Author : Helaine Selin
Publisher : Springer Science & Business Media
Page : 489 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401143011

Get Book

Mathematics Across Cultures by Helaine Selin Pdf

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 : Arne Hessenbruch
Publisher : Routledge
Page : 986 pages
File Size : 48,9 Mb
Release : 2013-12-16
Category : History
ISBN : 9781134263011

Get Book

Reader's Guide to the History of Science by Arne Hessenbruch Pdf

The Reader's Guide to the History of Science looks at the literature of science in some 550 entries on individuals (Einstein), institutions and disciplines (Mathematics), general themes (Romantic Science) and central concepts (Paradigm and Fact). The history of science is construed widely to include the history of medicine and technology as is reflected in the range of disciplines from which the international team of 200 contributors are drawn.

Author : Marcia Ascher
Publisher : CRC Press
Page : 218 pages
File Size : 43,8 Mb
Release : 1994-05-01
Category : Mathematics
ISBN : 0412989417

Get Book

Ethnomathematics by Marcia Ascher Pdf

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 : Lyn D. English,David Kirshner
Publisher : Routledge
Page : 942 pages
File Size : 49,5 Mb
Release : 2010-04-02
Category : Education
ISBN : 9781135192761

Get Book

Handbook of International Research in Mathematics Education by Lyn D. English,David Kirshner Pdf

This book brings together mathematics education research that makes a difference in both theory and practice - research that anticipates problems and needed knowledge before they become impediments to progress.

Author : Shier Ju,Benedikt Löwe,Thomas Müller,Yun Xie
Publisher : Birkhäuser
Page : 123 pages
File Size : 48,6 Mb
Release : 2016-08-10
Category : Mathematics
ISBN : 9783319315027

Get Book

Cultures of Mathematics and Logic by Shier Ju,Benedikt Löwe,Thomas Müller,Yun Xie Pdf

This book gathers the proceedings of the conference "Cultures of Mathematics and Logic," held in Guangzhou, China. The event was the third in a series of interdisciplinary, international conferences emphasizing the cultural components of philosophy of mathematics and logic. It brought together researchers from many disciplines whose work sheds new light on the diversity of mathematical and logical cultures and practices. In this context, the cultural diversity can be diachronical (different cultures in different historical periods), geographical (different cultures in different regions), or sociological in nature.

Author : Rosila Bee Binti Mohd Hussain,Jimmyn Parc,Jia Li
Publisher : Springer Nature
Page : 1907 pages
File Size : 45,6 Mb
Release : 2023-10-09
Category : Education
ISBN : 9782384760923

Get Book

Proceedings of the 2023 9th International Conference on Humanities and Social Science Research (ICHSSR 2023) by Rosila Bee Binti Mohd Hussain,Jimmyn Parc,Jia Li Pdf

This is an open access book. 2023 9th International Conference on Humanities and Social Science Research (ICHSSR 2023) will be held on April 21-23, 2022 in Beijing, China. Except that, ICHSSR 2023 is to bring together innovative academics and industrial experts in the field of Humanities and Social Science Research to a common forum. We will discuss and study about EDUCATION , SOCIAL SCIENCES AND HUMANITIES, INTERDISCIPLINARY STUDIES and other fields. ICHSSR 2022 also aims to provide a platform for experts, scholars, engineers, technicians and technical R & D personnel to share scientific research achievements and cutting-edge technologies, understand academic development trends, expand research ideas, strengthen academic research and discussion, and promote the industrialization cooperation of academic achievements. The conference sincerely invites experts, scholars, business people and other relevant personnel from universities, scientific research institutions at home and abroad to attend and exchange! The conference will be held every year to make it an ideal platform for people to share views and experiences in financial innovation and economic development and related areas.

Author : Brendan Larvor
Publisher : Birkhäuser
Page : 460 pages
File Size : 42,7 Mb
Release : 2016-05-25
Category : Mathematics
ISBN : 9783319285825

Get Book

Mathematical Cultures by Brendan Larvor Pdf

This collection presents significant contributions from an international network project on mathematical cultures, including essays from leading scholars in the history and philosophy of mathematics and mathematics education.​ Mathematics has universal standards of validity. Nevertheless, there are local styles in mathematical research and teaching, and great variation in the place of mathematics in the larger cultures that mathematical practitioners belong to. The reflections on mathematical cultures collected in this book are of interest to mathematicians, philosophers, historians, sociologists, cognitive scientists and mathematics educators.

Author : Alan Bishop
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Education
ISBN : 9789400926578

Get Book

Mathematical Enculturation by Alan Bishop Pdf

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.

Author : Alan Bishop,M.A. (Ken) Clements,Christine Keitel-Kreidt,Jeremy Kilpatrick,Colette Laborde
Publisher : Springer Science & Business Media
Page : 1336 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Education
ISBN : 9789400914650

Get Book

International Handbook of Mathematics Education by Alan Bishop,M.A. (Ken) Clements,Christine Keitel-Kreidt,Jeremy Kilpatrick,Colette Laborde Pdf

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 : Thomas Tymoczko
Publisher : Princeton University Press
Page : 458 pages
File Size : 46,8 Mb
Release : 1998-02
Category : Mathematics
ISBN : 0691034982

Get Book

New Directions in the Philosophy of Mathematics by Thomas Tymoczko Pdf

The traditional debate among philosophers of mathematics is whether there is an external mathematical reality, something out there to be discovered, or whether mathematics is the product of the human mind. This provocative book, now available in a revised and expanded paperback edition, goes beyond foundationalist questions to offer what has been called a "postmodern" assessment of the philosophy of mathematics--one that addresses issues of theoretical importance in terms of mathematical experience. By bringing together essays of leading philosophers, mathematicians, logicians, and computer scientists, Thomas Tymoczko reveals an evolving effort to account for the nature of mathematics in relation to other human activities. These accounts include such topics as the history of mathematics as a field of study, predictions about how computers will influence the future organization of mathematics, and what processes a proof undergoes before it reaches publishable form. This expanded edition now contains essays by Penelope Maddy, Michael D. Resnik, and William P. Thurston that address the nature of mathematical proofs. The editor has provided a new afterword and a supplemental bibliography of recent work.

Author : Tella, Adedeji
Publisher : IGI Global
Page : 205 pages
File Size : 47,9 Mb
Release : 2018-07-27
Category : Education
ISBN : 9781522561590

Get Book

Globalized Curriculum Methods for Modern Mathematics Education by Tella, Adedeji Pdf

The field of education is in constant flux as new theories and practices emerge to engage students and improve the learning experience. Globalization has created new challenges for mathematics educators as they are compelled to respond to the shifting patterns and practices of everyday life and stay abreast of the latest research in education, curriculum, development, and technologies. Globalized Curriculum Methods for Modern Mathematics Education is a comprehensive and timely publication that contains the latest research in mathematics education and modern globalized curriculum development and technologies. The book examines subjects such as teaching competencies, digital games for teaching and learning mathematics, and the challenges and prospects of globalized science curriculum. This is an ideal resource for educators, academicians, teachers, policy makers, researchers, and graduate-level students seeking to further their research in mathematics education.