Cognitive Processes in Mathematics

by Sloboda, John A.; Rogers, Don

• ISBN13: 9780198521631
• ISBN10: 0198521634
• Format: Hardcover
• Copyright: 1987-03-26
• Publisher: Oxford University Press

Summary

This state-of-the-art analysis of the psychology of mathematics concentrates on early competence in various areas of mathematical skill and on the representation of mathematical information. The contributors discuss a wide range of topics, including the development of mathematical skills in infancy, the relation between imaginal and propositional cognitions in children's approaches to arithmetic word problems, and the roles of associative and rule-based knowledge. The book indicates areas where further research is required and emphasizes the need for more sophisticated theories of mathematical understanding by educators in mathematics.

Table of Contents

The Origins and Development of Numerical Cognition: A Comparative Analysis

Aspects of Counting in Children's Arithmetic

Using Retelling Data to Study Young Children's Word-Problem-Solving, E. De Corte and L. Vershaffel

Understanding of Arithmetical Operations as Models of Situations

Strategy Choices in Subtraction

The Role of Associative Interference in Learning and Retrieving Arithmetic Facts

An Associative Retrieval Model of Arithmetic Memory: How Children Learn to Multiply

The Internal Representation of Number: Analogue or Digital?

Levels of Understanding and Psychology: Student's Acquisition of Statistics

Understanding Algebra

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