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  1. Representations in Distributed Cognitive Tasks.Jiaje Zhang & Donald A. Norman - 1994 - Cognitive Science 18 (1):87-122.
    In this article we propose a theoretical framework of distributed representations and a methodology of representational analysis for the study of distributed cognitive tasks—tasks that require the processing of information distributed across the internal mind and the external environment. The basic principle of distributed representations Is that the representational system of a distributed cognitive task is a set of internal and external representations, which together represent the abstract structure of the task. The basic strategy of representational analysis is to decompose (...)
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  • The Nature of External Representations in Problem Solving.Jiajie Zhang - 1997 - Cognitive Science 21 (2):179-217.
    This article proposes a theoretical framework for external representation based problem solving. The Tic‐Tac‐Toe and its isomorphs are used to illustrate the procedures of the framework as a methodology and test the predictions of the framework as a functional model. Experimental results show that the behavior in the Tic‐Tac‐Toe is determined by the directly available information in external and internal representations in terms of perceptual and cognitive biases, regardless of whether the biases are consistent with, inconsistent with, or irrelevant to (...)
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  • (3 other versions)Number, the language of science.Tobias Dantzig - 1933 - New York,: Free Press.
    A new edition of the classic introduction to mathematics, first published in 1930 and revised in the 1950s, explains the history and tenets of mathematics, ...
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  • Representations in distributed cognitive tasks.Jianhui Zhang & Donald A. Norman - 1994 - Cognitive Science 18 (1):87-122.
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  • Number; The Language of Science.Tobias Dantzig - 1931 - Philosophy 6 (24):517-519.
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  • Semiotic aspects of cognitive development: Illustrations from early mathematical cognition.Joe Becker & Maria Varelas - 1993 - Psychological Review 100 (3):420-431.
    The premise of this article is that cognitive development involves both conceptual and semiotic achievements. From this perspective, the authors emphasize the distinctness of the semiotic issues and develop a differentiated appreciation of the semiotic aspects of cognition, particularly in the field of elementary mathematical cognition. The authors provide semiotic analyses of the differences between counting, adding, and multiplying and of the conventional place-value system. The authors introduce the concept of the field of reference of a sign, the differentiation of (...)
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  • Number Words and Number Symbols: A Cultural History of Numbers.Karl Menninger & Paul Broneer - 1971 - Philosophy East and West 21 (1):97-98.
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