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Geoffrey B. Saxe - Cultural Development of Mathematical Ideas, Inbunden

Inbunden, Engelska, 2012

Cultural Development of Mathematical Ideas

Papua New Guinea Studies

Av Geoffrey B. Saxe

Del i serien Learning in Doing: Social, Cognitive and Computational Perspectives

1915 kr

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Beskrivning
Drawing upon field studies conducted in 1978, 1980 and 2001 with the Oksapmin, a remote Papua New Guinea group, Geoffrey B. 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 counting system that makes use of twenty-seven parts of the body; there is no evidence that the group used arithmetic in prehistory. As practices of economic exchange and schooling have shifted, children and adults unwittingly reproduced and altered the system in order to solve new kinds of numerical and arithmetical problems, a process that has led to new forms of collective representations in the community. While Dr Saxe's 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.
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Dr Geoffrey Saxe has conducted research on mathematical cognition and culture in a variety of settings, including remote parts of Papua New Guinea, urban and rural areas of northeastern Brazil and elementary and middle school classrooms in the United States. His prior books include Culture and Cognitive Development: Studies in Mathematical Understanding (1991) and Social Processes in Early Number Development (with S. Guberman and M. Gearhart, 1987). He is currently a professor at the Graduate School of Education, University of California, Berkeley.

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'Cultural anthropologist Clifford Geertz proposed that 'small facts speak to large issues' … In many ways, Geoffrey Saxe's new book echoes the Geertz quote. By gathering together the many small facts of numerical reasoning practices he has collected over a thirty-year period in a community in the Oksapmin region of Papua New Guinea, Saxe has assembled a dynamic documentary report of answers to the question: how are culture and cognition related? … At the end of this book, Saxe returns us to the Geertz quote … by suggesting that this culmination of thirty years of field work in Oksapmin mathematics makes three distinct contributions to the literature: thick description of a vanishing cultural community; little theory; and big theory … I would like to add that this important book provides a window into the professional career of a remarkable researcher and scholar.' Ellice A. Forman, Mathematical Thinking and Learning

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