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Title:Mathematical Poise and Movement in Thinking: The Zero Goes on Vacation
Author(s):Johnson, Shirley M. Langham
Department / Program:Education
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Education, Mathematics
Abstract:This is a clinical case study that describes mathematical thinking of a seven year old girl, Kay. It reports analyses of video-taped clinical interviews using Piagetian tasks of conservation, number and numeral and other number tasks. It includes a report of microanalysis of one interview, called the Odometer video-tape. Generally, the report attempts a fairly well-rounded portrait of Kay, as a child who customarily thinks about numbers with exceptional poise or equanimity.
The main thrust of the study is to address the question of how cognitive structures may be described as occurring and as moving within Kay's consciousness (e.g., as she talks about numerals moving on the dial of the mileage indicator of an imaginary car). The study generates several notions that may be useful in describing the occurrence of cognitive structures within consciousness. These are designated as the mind's eye, virtual-thinking, change points, marshaling, flashing, purposefully directed intent, and spanning. The study raises several questions for research and for schooling, exploring one such question in depth, "How can schooling facilitate the development in students, generally, of the kind of mathematical poise observed in Kay?"
Issue Date:1980
Description:283 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1980.
Other Identifier(s):(UMI)AAI8026533
Date Available in IDEALS:2014-12-12
Date Deposited:1980

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