Cognitive processes in mathematics
Author(s)
Bibliographic Information
Cognitive processes in mathematics
（Keele cognition seminars, 1）（Oxford science publications）
Clarendon Press , Oxford University Press, 1987
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Note
Papers presented at a conference held at the University of Keele in the spring of 1985
Includes bibliographies and indexes
Description and Table of Contents
Description
The psychology of mathematics is an expanding field of research that presents issues of fundamental importance. The seminar which formed the basis of this volume brought together researchers who are making significant contributions, to examine the present state of the subject. Two areas in particular are reviewed. One is early competence in various areas of mathematical skill: the development of maths skills in infancy, and the acquisition of algebraic and statistical skills in older children and university students. The second area concerns the representation of mathematical information: the relations between imaginal and propositional understandings in children's approaches to arithmetic word problems; the relation between semantic and syntactical knowledge of mathematics; the question of digital form; and the roles of associative and rule-based knowledge. The contributions also indicate future directions for research: the more precise specification of change processes; the integration of early and advanced states of knowledge and the examination of more complex tasks such as algebra and inferential statistics.
Table of Contents
- Alice Klein & Prentice Starkey: The origins and development of numerical cognition
- Graham Hitch et al: Aspects of counting in children's arithmetic
- E. De Corte & L. Verschaffel: Using retelling data to study young children's word-problem-solving
- Brian Greer: Understanding of arithmetical operations as models of situations
- Robert S. Siegler: Strategy choices in subtraction
- Jamie I.D. Campbell: The role of associative interference in learning and retrieving arithmetic facts
- David Jeffrey Graham: An associative retrieval model of arithmetic memory: how children learn to multiply
- R.R. Todd, P.J. Barber & D. Jones: The internal representation of number: analogue or digital?
- Philip T. Smith: Levels of understanding and psychology: students' acquisition of statistics
- Lauren B. Resnick et al: Understanding algebra
- Indexes.
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