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History of Number, Kay Owens; Glen Lean; Patricia Paraide; Charly Muk


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Автор: Kay Owens; Glen Lean; Patricia Paraide; Charly Muk
Название:  History of Number
ISBN: 9783319833033
Издательство: Springer
Классификация:


ISBN-10: 3319833030
Обложка/Формат: Soft cover
Страницы: 461
Вес: 0.93 кг.
Дата издания: 2018
Серия: History of Mathematics Education
Язык: English
Издание: Softcover reprint of
Иллюстрации: 16 illustrations, color; 35 illustrations, black and white; xxvii, 461 p. 51 illus., 16 illus. in color.
Размер: Book (Paperback Initiative)
Читательская аудитория: Professional & vocational
Основная тема: Education
Подзаголовок: Evidence from Papua New Guinea and Oceania
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This unique volume presents an ecocultural and embodied perspective on understanding numbers and their history in indigenous communities.  The book focuses on research carried out in Papua New Guinea and Oceania, and will help educators understand humanitys 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 and a new vision of foundational number concepts such as large numbers, groups, and systems. Featured in this invaluable resource are some data and analyses 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 Smiths and Sue Holzknecht’s studies of Morobe Provinces multiple counting systems, Charly Mukes study of counting in the Wahgi Valley in the Jiwaka Province, and Patricia Paraides documentation of the number and measurement knowledge of her Tolai community.  
The implications of viewing early numeracy in the light of this book’s research, 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 reaching back ten thousand years ago.  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. 

Дополнительное описание: An Overview of the Studies, Papua New Guinea, Oceania, Languages and Migrations.- The Languages Studied by Lean and his Analysis of Counting Systems.- 2-Cycle Systems Including Some Digit Tally Systems.- Body-Part Tally Systems.- 5-Cycle Systems.- 10-Cycl


Number and Operations, Part 1: Building A System of Tens Casebook

Автор: Deborah Schifter, Virginia Bastable, Susan Jo Russell
Название: Number and Operations, Part 1: Building A System of Tens Casebook
ISBN: 0873539338 ISBN-13(EAN): 9780873539333
Издательство: Mare Nostrum (Eurospan)
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Цена: 40740.00 T
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Описание: The Building a System of Tens Casebook was developed as the key resource for participants’ Developing Mathematical Ideas seminar experience. The thirty cases, written by teachers describing real situations and actual student thinking in their classrooms, provide the basis of each session’s investigation of specific mathematical concepts and teaching strategies.By reading and discussing the cases under the guidance of the facilitator, participants are actively engaged in their own learning enterprise and will:learn to recognize the key mathematical ideas with which your students are grapplingconsider the types of classroom settings and teaching strategies that support the development of student understandingbecome aware of how core mathematical ideas develop across the gradeswork on mathematical concepts and gain better understanding of mathematical content; anddiscover how to continue learning about children and mathematics.The casebook is composed of eight chapters: the first seven consist of classroom cases from kindergarten through grade 8; chapter 8 is an essay providing an overview of the research related to the situations described in the first seven chapters.

Rational Number Theory in the 20th Century

Автор: W?adys?aw Narkiewicz
Название: Rational Number Theory in the 20th Century
ISBN: 1447127153 ISBN-13(EAN): 9781447127154
Издательство: Springer
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Цена: 93160.00 T
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Описание: This book surveys 20th century progress in classical number theory, from the proof of the Prime Number Theorem in 1896 through the proof of Fermat`s Last Theorem, focusing on the part of number theory that addresses properties of integers and rational numbers.

Zeta and L-Functions of Varieties and Motives

Автор: Bruno Kahn
Название: Zeta and L-Functions of Varieties and Motives
ISBN: 1108703399 ISBN-13(EAN): 9781108703390
Издательство: Cambridge Academ
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Цена: 67590.00 T
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Описание: The amount of mathematics invented for number-theoretic reasons is impressive. It includes much of complex analysis, the re-foundation of algebraic geometry on commutative algebra, group cohomology, homological algebra, and the theory of motives. Zeta and L-functions sit at the meeting point of all these theories and have played a profound role in shaping the evolution of number theory. This book presents a big picture of zeta and L-functions and the complex theories surrounding them, combining standard material with results and perspectives that are not made explicit elsewhere in the literature. Particular attention is paid to the development of the ideas surrounding zeta and L-functions, using quotes from original sources and comments throughout the book, pointing the reader towards the relevant history. Based on an advanced course given at Jussieu in 2013, it is an ideal introduction for graduate students and researchers to this fascinating story.


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