Knowledge of Arithmetic Among Schooled and Unschooled African Tailors and Cloth-merchants

Knowledge of Arithmetic Among Schooled and Unschooled African Tailors and Cloth-merchants

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  • Author: Andrea Lee Petitto
  • Publisher:
  • ISBN:
  • Category : Arithmetic
  • Languages : en
  • Pages : 508


Mathematics in African History and Cultures

Mathematics in African History and Cultures

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  • Author: Paulus Gerdes
  • Publisher: Lulu.com
  • ISBN: 1430315377
  • Category : History
  • Languages : en
  • Pages : 432

This volume constitutes an updated version of the bibliography published in 2004 by the African Mathematical Union. The African Studies Association attributed the original edition a 'ÂÂspecial mention'ÂÂ in the 2006 Conover-Porter Award competition. The book contains over 1600 bibliographic entries. The appendices contain additional bibliographic information on (1) mathematicians of the Diaspora, (2) publications by Africans on the history of mathematics outside Africa, (3) time-reckoning and astronomy in African history and cultures, (4) string figures in Africa, (5) examples of books published by African mathematicians, (6) board games in Africa, (7) research inspired by geometric aspects of the 'ÂÂsona'ÂÂ tradition. The book concludes with several indices (subject, country, region, author, ethnographic and linguistic, journal, mathematicians). Professor Jan Persens of the University of the Western Cape (South Africa) and president of the African Mathematical Union (2000-2004) wrote the preface.


Culture and Cognitive Development

Culture and Cognitive Development

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  • Author: Geoffrey B. Saxe
  • Publisher: Psychology Press
  • ISBN: 1317728092
  • Category : Psychology
  • Languages : en
  • Pages : 222

Researchers examining children's mathematics acquisition are now questioning the belief that children learn mathematics principally through formalized, in-school mathematics education. There is increasing evidence that children gain mathematical understanding through their participation in out-of-school cultural practices and that their mathematics only occasionally resembles what they learn in the classroom. Culture and Cognitive Development presents the latest research by Dr. Geoffrey Saxe on this issue. In examinations of the mathematical understandings of child candy sellers in an urban center in northeastern Brazil, Dr. Saxe finds sharp contrasts between mathematics as practiced in school and in real-world settings. In this unique research project he presents a penetrating conceptual treatment of the interplay between culture and cognitive development, filling a void in current research literature. Subjects examined include: the interplay between sociocultural and cognitive developmental processes the differences between math knowledge learned in and out of the classroom the ways math learning in the classroom is modified by children's out-of-school mathematics and, correspondingly, how practical out-of-school mathematics use is modified by formal education


Apprenticeship in Critical Ethnographic Practice

Apprenticeship in Critical Ethnographic Practice

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  • Author: Jean Lave
  • Publisher: University of Chicago Press
  • ISBN: 0226470733
  • Category : Social Science
  • Languages : en
  • Pages : 218

In this extended meditation, Jean Lave interweaves analysis of the process of apprenticeship among the Vai and Gola tailors of Liberia with reflections on the evolution of her research on those tailors in the late 1970s. In so doing, she provides both a detailed account of her apprenticeship in the art of sustained fieldwork and an insightful overview of thirty years of changes in the empirical and theoretical facets of ethnographic practice. Examining the issues she confronted in her own work, Lave shows how the critical questions raised by ethnographic research erode conventional assumptions, altering the direction of the work that follows. As ethnography takes on increasing significance to an ever widening field of thinkers on topics from education to ecology, this erudite but accessible book will be essential to anyone tackling the question of what it means to undertake critical and conceptually challenging fieldwork. Apprenticeship in Critical Ethnographic Practice explains how to seriously explore what it means to be human in a complex world—and why it is so important.


Mathematical Reasoning

Mathematical Reasoning

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  • Author: Raymond Nickerson
  • Publisher: Taylor & Francis
  • ISBN: 1136945393
  • Category : Psychology
  • Languages : en
  • Pages : 597

The development of mathematical competence -- both by humans as a species over millennia and by individuals over their lifetimes -- is a fascinating aspect of human cognition. This book explores when and why the rudiments of mathematical capability first appeared among human beings, what its fundamental concepts are, and how and why it has grown into the richly branching complex of specialties that it is today. It discusses whether the ‘truths’ of mathematics are discoveries or inventions, and what prompts the emergence of concepts that appear to be descriptive of nothing in human experience. Also covered is the role of esthetics in mathematics: What exactly are mathematicians seeing when they describe a mathematical entity as ‘beautiful’? There is discussion of whether mathematical disability is distinguishable from a general cognitive deficit and whether the potential for mathematical reasoning is best developed through instruction. This volume is unique in the vast range of psychological questions it covers, as revealed in the work habits and products of numerous mathematicians. It provides fascinating reading for researchers and students with an interest in cognition in general and mathematical cognition in particular. Instructors of mathematics will also find the book’s insights illuminating.


Learning and Everyday Life

Learning and Everyday Life

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  • Author: Jean Lave
  • Publisher: Cambridge University Press
  • ISBN: 1108480462
  • Category : Education
  • Languages : en
  • Pages : 195

An incisive study of situated learning, analyzed through a critical theory of social practice as transformational change in everyday life.


History of Mathematics in Africa: 2000-2011

History of Mathematics in Africa: 2000-2011

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  • Author: Paulus Gerdes
  • Publisher: Lulu.com
  • ISBN: 1105141004
  • Category : Mathematics
  • Languages : en
  • Pages : 450


Cognition in Practice

Cognition in Practice

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  • Author: Jean Lave
  • Publisher: Cambridge University Press
  • ISBN: 1107268311
  • Category : Psychology
  • Languages : en
  • Pages :

Most previous research on human cognition has focused on problem-solving, and has confined its investigations to the laboratory. As a result, it has been difficult to account for complex mental processes and their place in culture and history. In this startling - indeed, disco in forting - study, Jean Lave moves the analysis of one particular form of cognitive activity, - arithmetic problem-solving - out of the laboratory into the domain of everyday life. In so doing, she shows how mathematics in the 'real world', like all thinking, is shaped by the dynamic encounter between the culturally endowed mind and its total context, a subtle interaction that shapes 1) Both tile human subject and the world within which it acts. The study is focused on mundane daily, activities, such as grocery shopping for 'best buys' in the supermarket, dieting, and so on. Innovative in its method, fascinating in its findings, the research is above all significant in its theoretical contributions. Have offers a cogent critique of conventional cognitive theory, turning for an alternative to recent social theory, and weaving a compelling synthesis from elements of culture theory, theories of practice, and Marxist discourse. The result is a new way of understanding human thought processes, a vision of cognition as the dialectic between persons-acting, and the settings in which their activity is constituted. The book will appeal to anthropologists, for its novel theory of the relation of cognition to culture and context; to cognitive scientists and educational theorists; and to the 'plain folks' who form its subject, and who will recognize themselves in it, a rare accomplishment in the modern social sciences.


African Doctorates in Mathematics

African Doctorates in Mathematics

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  • Author:
  • Publisher: Lulu.com
  • ISBN: 1430318678
  • Category : Reference
  • Languages : en
  • Pages : 385

This volume presents a catalogue of over 2000 doctoral theses by Africans in all fields of mathematics, including applied mathematics, mathematics education and history of mathematics. The introduction contains information about distribution by country, institutions, period, and by gender, about mathematical density, and mobility of mathematicians. Several appendices are included (female doctorate holders, doctorates in mathematics education, doctorates awarded by African universities to non-Africans, doctoral theses by non-Africans about mathematics in Africa, activities of African mathematicians at the service of their communities). Paulus Gerdes compiled the information in his capacity of Chairman of the African Mathematical Union Commission for the History of Mathematics in Africa (AMUCHMA). The book contains a preface by Mohamed Hassan, President of the African Academy of Sciences (AAS) and Executive Director of the Academy of Sciences for the Developing World (TWAS). (383 pp.)


Mind and Social Practice

Mind and Social Practice

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  • Author: Sylvia Scribner
  • Publisher: Cambridge University Press
  • ISBN: 9780521467674
  • Category : Psychology
  • Languages : en
  • Pages : 408

Sylvia Scribner's research and theory have been monumental in forming the emergent field of cultural psychology. Her studies of reasoning and thinking in their cultural and activity contexts added new concepts, methods, and findings to what many are now viewing as a distinctive branch of psychological studies. She was among the first to combine ethnographic studies with experimental studies in order to determine relationships among indigenous literacy and logical activities and their cognitive outcomes. Mind and Social Practice brings together published and previously unpublished work from Sylvia Scribner's productive and wide-ranging career. The book is arranged chronologically and includes five section introductions by the editors, placing Scribner's work in the context of her life, her commitments, and the political and intellectual events of the times. Her later, more theoretically rich writing is enhanced by an appreciation of her earlier work.