History of Number

History of Number

Author: Kay Owens

Publisher: Springer

Published: 2017-10-24

Total Pages: 478

ISBN-13: 3319454838

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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 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 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 Smith's and Sue Holzknecht’s studies of Morobe Province's multiple counting systems, Charly Muke's study of counting in the Wahgi 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 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.


A Grammar of Yélî Dnye

A Grammar of Yélî Dnye

Author: Stephen C. Levinson

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2022-06-06

Total Pages: 617

ISBN-13: 3110733854

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This is a comprehensive description of a language spoken some 450 km offshore from the mainland of Papua New Guinea. The language is remarkable for its phonological, morphological and syntactic complexity. As the sole surviving member of its language family, and with little historical contact with surrounding languages, the language provides evidence of the kind of languages spoken in this part of the world before the Austronesian expansion. The grammar provides detailed information on the phoneme inventory, morphology, syntax and select semantic fields. Remarkable features include a 90 phoneme inventory including unique sounds, a morphology with thousands of non-compositional portmanteau elements, complex rules for negation, and extensive ergative syntax. Unusual patterns are also found in the organization of semantic fields, for example in partonymies of the body, taxonomies of the natural world, verbal semantics and kinship terms. The combination of linguistic ‘rara’ suggest that linguistic evolution under low contact can yield baroque and unusual patterns. The volume should be of special interest to linguists, typologists, sociolinguists, anthropologists and researchers in Oceania and Melanesia. Endorsement: "This long-awaited grammar is a major contribution to Papuan and general linguistics, providing as it does by far the most comprehensive and accurate grammatical description of a language that has already assumed a position as one of the world's most complicated. Hitherto, the most extensive grammatical description of the language has been the survey-like Henderson (1995), and while Levinson explicitly acknowledges his debt to this earlier grammar and to unpublished work by Henderson, his own detailed grammar clearly takes the level of description and analysis of the language to a completely new level. In particular, Levinson's grammar makes clear precisely to what extent and in what ways the language's morphology is complex beyond even what most studies on morphologically complex languages envisage. In addition, it provides a much more detailed account of the language's syntax, based on a judicious combination of corpus attestation and careful elicitation (incl. using the kits developed by Levinson's group at the MPI for Psycholinguistics). The grammar thus not only fills a major lacuna in our knowledge of the non-Austronesian languages of the New Guinea area, but also provides grist for future studies on the implications of the language's complexities." Bernard Comrie, University of California, Santa Barbara


Indigenous Knowledge and Ethnomathematics

Indigenous Knowledge and Ethnomathematics

Author: Eric Vandendriessche

Publisher: Springer Nature

Published: 2023-02-14

Total Pages: 293

ISBN-13: 3030974820

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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.


Semantic Analysis

Semantic Analysis

Author: Cliff Goddard

Publisher: Oxford University Press, USA

Published: 2011-08-04

Total Pages: 512

ISBN-13: 0199560285

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A lively introduction to methods for articulating the meanings of words and sentences, and revealing connections between language and culture. It shows that the study of meaning can be rigorous, insightful, and exciting.


The Oxford Handbook of Ergativity

The Oxford Handbook of Ergativity

Author: Jessica Coon

Publisher: Oxford University Press

Published: 2017

Total Pages: 1297

ISBN-13: 0198739370

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This volume examines the phenomenon of ergativity, a grammatical patterning whereby direct objects are in some way treated like intransitive subjects, to the exclusion of transitive subjects. It includes theoretical approaches from generative, typological, and functional paradigms, as well as 16 language-specific case studies.


Features

Features

Author: Greville G. Corbett

Publisher: Cambridge University Press

Published: 2012-10-11

Total Pages: 341

ISBN-13: 1139789724

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Features are a central concept in linguistic analysis. They are the basic building blocks of linguistic units, such as words. For many linguists they offer the most revealing way to explore the nature of language. Familiar features are Number (singular, plural, dual, ...), Person (1st, 2nd, 3rd) and Tense (present, past, ...). Features have a major role in contemporary linguistics, from the most abstract theorizing to the most applied computational applications, yet little is firmly established about their status. They are used, but are little discussed and poorly understood. In this unique work, Corbett brings together two lines of research: how features vary between languages and how they work. As a result, the book is of great value to the broad range of perspectives of those who are interested in language.


Vehicles

Vehicles

Author: David Lipset

Publisher: Berghahn Books

Published: 2014-08-01

Total Pages: 224

ISBN-13: 178238376X

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Metaphor, as an act of human fancy, combines ideas in improbable ways to sharpen meanings of life and experience. Theoretically, this arises from an association between a sign—for example, a cattle car—and its referent, the Holocaust. These “sign-vehicles” serve as modes of semiotic transportation through conceptual space. Likewise, on-the-ground vehicles can be rich metaphors for the moral imagination. Following on this insight, Vehicles presents a collection of ethnographic essays on the metaphoric significance of vehicles in different cultures. Analyses include canoes in Papua New Guinea, pedestrians and airplanes in North America, lowriders among Mexican-Americans, and cars in contemporary China, Japan, and Eastern Europe, as well as among African-Americans in the South. Vehicles not only “carry people around,” but also “carry” how they are understood in relation to the dynamics of culture, politics and history.


Music, Lapita, and the Problem of Polynesian Origins

Music, Lapita, and the Problem of Polynesian Origins

Author: Mervyn McLean

Publisher: Mervyn McLean

Published: 2014-01-01

Total Pages: 231

ISBN-13: 0473288737

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For more than twenty years the standard view among anthropologists has been that Polynesians evolved from a group of settlers known as Lapita people whose characteristically dentate-stamped pottery has been found on numerous mostly Melanesian sites, and who entered Fiji more than 3000 years ago from a starting point in the Bismarck Archipelago. An alternative view that champions Micronesia as a primary area of origin for Polynesians has been in limbo as a result of the prevailing theory, but is reappraised in the present book and found once again to be in contention. The book takes an historical view of theories of origin, and provides some account of methodologies used by scholarly disciplines which have been brought to bear on the subject, including evidence from music and dance, which forms the core of the book.


Ten Thousand Years of Cultivation at Kuk Swamp in the Highlands of Papua New Guinea

Ten Thousand Years of Cultivation at Kuk Swamp in the Highlands of Papua New Guinea

Author: Jack Golson

Publisher: ANU Press

Published: 2017-07-07

Total Pages: 545

ISBN-13: 1760461164

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Kuk is a settlement at c. 1600 m altitude in the upper Wahgi Valley of the Western Highlands Province of Papua New Guinea, near Mount Hagen, the provincial capital. The site forms part of the highland spine that runs for more than 2500 km from the western head of the island of New Guinea to the end of its eastern tail. Until the early 1930s, when the region was first explored by European outsiders, it was thought to be a single, uninhabited mountain chain. Instead, it was found to be a complex area of valleys and basins inhabited by large populations of people and pigs, supported by the intensive cultivation of the tropical American sweet potato on the slopes above swampy valley bottoms. With the end of World War II, the area, with others, became a focus for the development of coffee and tea plantations, of which the establishment of Kuk Research Station was a result. Large-scale drainage of the swamps produced abundant evidence in the form of stone axes and preserved wooden digging sticks and spades for their past use in cultivation. Investigations in 1966 at a tea plantation in the upper Wahgi Valley by a small team from The Australian National University yielded a date of over 2000 years ago for a wooden stick collected from the bottom of a prehistoric ditch. The establishment of Kuk Research Station a few kilometres away shortly afterwards provided an ideal opportunity for a research project.