Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This unique volume presents an ecocultural and embodied perspective on understanding numbers and their history in indigenous communities.  The book focuses on research done in Papua New Guinea, and will help educators understand humanity's use of numbers, and their development and change. The authors focus on indigenous mathematics education in the early years and shine light on the unique processes and number systems of non-European styled cultural classrooms. This new perspective for mathematics education challenges educators who have not heard about the history of number outside of Western traditions, and can help them develop a rich cultural competence in their own practice. Featured in this invaluable resource is the data and analysis that chief researcher Glendon Angove Lean collected while living in Papua New Guinea before his death in 1995. Among the Topics Covered: - The diversity of counting system cycles, where they were established, and how they may have developed. - A detailed exploration of number systems other than base 10 systems including: 2-cycle, 5-cycle, 4- and 6-cycle systems, and body-part tally systems. - Research collected from major studies such as Geoff Smith's study of Morobe's counting systems, Charly Muke's study of counting in the Waghi Valley in the Jiwaka Province, and Patricia Paraide's documentation of the number and measurement knowledge of her Tolai community.  - The implications of viewing early numeracy, and ways of catering to diversity in mathematics education. In this volume Kay Owens draws on recent research from diverse fields such as linguistics and archaeology to present their exegesis on the history of number.  Researchers and educators interested in the history of mathematical sciences will find History of Number: Evidence from Papua New Guinea and Oceania to be an invaluable resource.

Didactics of mathematics --- Mathematics --- didactiek --- wiskunde --- Papua New Guinea --- Oceania with Australia --- Number concept. --- Mathematical ability. --- Arithmetical ability --- Number ability --- Ability --- Apperception --- Psychology --- Mathematics—Study and teaching . --- Mathematics. --- History. --- Mathematics Education. --- History of Mathematical Sciences. --- Annals --- Auxiliary sciences of history --- Math --- Science

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book is an astounding collaboration between Papua New Guinea authors and researchers from the former colonizing country. The early chapters set the scene and captivate the reader. An account of the technologies and mathematical activities associated with the cultures that have survived for tens of thousands of years, unknown to Europe or the Middle East, are brought to life through cameos from the authors and others. This book is indeed a unique record of these mathematical activities drawing on current practices, oral histories, and many different disciplines. The main argument of the book leaps out at the reader in author Charly Muke's words in chapter 2 and extended by author Patricia Paraide in the following chapter. The authors are audacious in explaining the demise of these mathematical knowledges through colonisation and neocolonism fostered by overseas funding and educated Papua New Guineans. Papua New Guinea's multicultural society with relatively recent contact with Europe provides a condensed exemplification of changes in mathematics education in a country with both a colonial history and a coup-less transition to independence. The following chapters provide both an historical outline and an analysis of the changes. This recently independent country has produced some ground-breaking research in mathematics and mathematics education. Discussion focuses on specific areas of mathematics education that have been impacted by policies, research, nationalism and national identity, colonialism and neocolonialism, world wars and other circumstances with particular emphasis on pressures on education in the last one and half centuries. This volume is one of the few studies of this kind in the education research literature as an in-depth record and critique of how school mathematics has changed in Papua New Guinea from the late 1800s. This book will be a useful addition to graduate programs and mathematics and STEM education courses. It enhances scholarship in the history of mathematics, sociology of education and studies of ethnomathematics as well as the interdisciplinary fields of transcultural studies, religion and society, globalization and neocolonialism, post / decolonialism, applied linguistics and language studies, gender studies, educational administration and policy, and teacher education. Offers a unique and comprehensive contribution to education research literature as an in-depth record and critique of how school mathematics has developed in Papua New Guinea. Provides an analysis of the technologies and mathematics of the many continuing PNG cultures that began tens of thousands of years ago. Highlights the development of mathematics education in a country with both a colonial history and a coup-less transition to independence. Focuses on specific areas of mathematics education that have been impacted by policies, research, and global influences. Complements graduate studies and research in mathematics education and history of mathematics, as well as interdisciplinary fields of cross cultural studies, language studies, educational administration and policy, technology education, and teacher education.

Sociology of education --- History of education and educational sciences --- Teaching --- Didactics of mathematics --- Educational sciences --- Mathematics --- History --- vergelijkende pedagogiek --- onderwijspolitiek --- didactiek --- geschiedenis --- onderwijs --- wiskunde --- onderwijsonderzoek