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BestsellerE-book
Author Saxe, Geoffrey B.

Title Cultural development of mathematical ideas : Papua New Guinea studies / Geoffrey B. Saxe with Indigo Esmonde.

Publication Info. Cambridge ; New York, NY : Cambridge University Press, [2012]
©2012

Item Status

Description 1 online resource (xxxiii, 362 pages) : illustrations, maps.
Physical Medium polychrome
Description text file
Series Learning in doing : social, cognitive and computational perspectives
Learning in doing.
Summary "The book presents a general framework for the analysis of culture-cognition relations that makes use of field studies with a remote Papua New Guinea culture group, the Oksapmin, as an illustrative case"-- Provided by publisher.
"Drawing upon field studies conducted in 1978, 1980, and 2001 with a remote Papua New Guinea group, the Oksapmin, Geoffrey Saxe traces the emergence of new forms of numerical representations and ideas in the social history of the community. In traditional life, the Oksapmin used a 27-body-part counting system, and there is no evidence that Oksapmin used arithmetic in prehistory. With shifting practices of economic exchange and schooling, children and adults unwittingly reproduce and alter the system as they solve new kinds of numerical and arithmetical problems, a process that leads to new forms of collective representations in the community. While Saxe, Ŵs focus is on the Oksapmin, the insights and general framework he provides are useful for understanding shifting representational forms and emerging cognitive functions in any human community"-- Provided by publisher.
Bibliography Includes bibliographical references (pages 343-354) and index.
Contents Cover; Cultural Development of Mathematical Ideas; SERIES EDITOR; Title; Copyright; Dedication; Contents; Figures; Series Foreword; Preface; Acknowledgments; Introduction; Part I The Origins of Number: Enduring Questions; 1 Culture-Cognition Relations; Culture and Cognition: Separate Variables with External Links; 1. Cultural Forms of Number Representation Determine the Numerical Thought of Individuals; 2. Cognitive Structures for Number Are Determined by Biological Evolution; 3. Native Cognitive Structures for Number Are Amplified by Cultural Forms of Number Representation.
4. Cognitive Structures for Number Are Constructed in Individual DevelopmentCulture and Cognition: Jointly Rooted in Activity with Intrinsic Relations; Culture as Process; Cognition as Process; Units of Analysis; Toward a Genetic Treatment of Intrinsic Relations; Collective Practices of Economic Exchange: The Emergence and Resolution of Numerical Problems; Forms and Functions in Trade Store Exchanges (1978): Developmental Processes; Summary: Collective Practices of Economic Exchange and Genetic Strands of Form-Function Relations.
Corroborative Empirical Support for the Utility of the Approach: The Micro- and Ontogenesis of Form-Function Relations in Collective PracticesCorroborative Empirical Support for the Utility of the Approach: The Sociogenesis of Form-Function Relations in Collective Practices; The Promise of the Oksapmin Case; 2 Cultural Forms of Number Representation Used in Oksapmin Communities; Body Counting in the New Guinea Highlands; The Oksapmin Counting System; Fu! and Other Ancillary Expressions in Oksapmin Counting; Reproduction and Alteration of Numerical Representations and Ideas.
Part II Economic Exchange3 Collective Practices of Economic Exchange: A Brief Social History; Pre-contact; Period 1 (1938-1960); Period 2 (1̃960-1980); Period 3 (1̃980-2001); 4 Reproduction and Alteration of Numerical Representations; Study 4-1. Body Arithmetic in 1980; Method; Participants; Procedure; Results; Problems with Coins; Problems without Coins; Relations between Solutions to Coin and No-Coin Problems; New Developments in Oksapmin Arithmetic: Synchronic and Diachronic Processes; Study 4-2. The Body and Tok Pisin: Forms Used for Number Representation in 2001; Methods.
Participants and SettingProcedures; Results; Knowledge of and Variations in the Body-Part Count Sequence; Knowledge of the Count Word Sequence in Tok Pisin/English; Summary; Study 4-3. Languages of Quantification Used in Stores in 2001 and the Accomplishment of Emergent Arithmetical Problems; Methods; Participants; Procedures; Results; Transactions and Amounts Tendered; Language of Quantification in Purchases; Summary; Study 4-4. Emergent Arithmetic in Store Transactions in 2001; Methods; Participants and Location; Procedure; Results; Language Used for Number; Structure of Transactions.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Cognition and culture -- Papua New Guinea.
Cognition and culture.
Papua New Guinea.
Number concept -- Case studies.
Number concept.
Constructivism (Education)
Constructivism (Education)
Social change -- Papua New Guinea.
Social change.
Genre/Form Case studies.
Electronic books.
Case studies.
Added Author Esmonde, Indigo.
Added Title Papua New Guinea studies
Other Form: Print version: Saxe, Geoffrey B. Cultural development of mathematical ideas. Cambridge ; New York, NY : Cambridge University Press, ©2012 9780521761666 (DLC) 2011037488 (OCoLC)757717672
ISBN 9781139551571 (electronic book)
1139551574 (electronic book)
9781139549073 (electronic book)
1139549073 (electronic book)
9780521761666
0521761662