The Nature and Origin of Mathematical Skills

J.I.D. Campbell

North Holland | 1992 | 580 páginas |

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Descrição:
A broad range of current experimental research on numerical cognition and the acquisition of mathematical skills is covered in this volume. The individual chapters provide in-depth analysis of specific issues, methodologies, phenomena, and theory. The book is divided into two parts. In the first part the focus is on the acquisition and development of numerical skills. Part 2 of the book contains research on the information-processing basis of numerical skills, focusing on the mechanisms of perception, attention, and memory that support number skills.The range of theoretical and methodological orientations represented in the volume captures both the diversity and coherence of contemporary research into mathematical skills. The research of educational psychologists, cognitive psychologists, and cognitive neuropsychologists mutually informs and reinforces theoretical developments within each area. The multidisciplinary interest in mathematics skills reflects the pervasiveness and importance of mathematics in education, technology, and science, and also indicates that questions about mathematical competence address important issues in diverse areas of psychology and cognitive science.

List of contents
Origins of Mathematical Abilities
What a Number Is: Mathematical Foundations and Developing Number Concepts
Kevin F. Miller
Relationships Children Construct Among English Number Words, Multiunit Base-Ten Blocks, and Written Multidigit Addition
Karen C. Fuson, Judith L. Fraivillig, & Birch H. Burghardt
Understanding Elementary Mathematics
Jeffrey Bisanz & Jo-Anne LeFevre
Mathematical Misunderstandings: Qualitative Reasoning About Quantitative Problems
Richard E. Mayer, Anne Bovenmyer Lewis, & Mary Hegarty 137
The Role of Expertise in Solving Arithmetic and Algebra Word Problems by Analogy
Laura R. Novick
The Development of Skill in Mental Arithmetic: An Individual Differences Perspective
Keith F. Widaman & Todd D. Little
Part 2 Numerical Cognition: Representation, Process, and
Architecture
A Theory of Enumeration That Grows Out of a General Theory of Vision: Subitizing, Counting, and FINSTs
Lana M. Trick
Working Memory, Automaticity, and Problem Dimculty
Mark H. Ashcraft, Rick D. Donley, Margaret A. Halas, & Mary Vakali
Representation and Retrieval of Arithmetic Facts: A Network-Interference Model and Simulation
Jamie I. D. Campbell & Michael Oliphmt
MATHNET Preliminary Results From a Distributed Model of Arithmetic Fact Retrieval
Michael McCloskey & A. Margrethe Lindemann
Inhibitory Mechanisms in Normal and Dysfunctional Number Processing
James M. Clark
Cognitive Number Processing: An Encoding-Complex Perspective
Jamie I. D. Campbell & James M. Clark
The Functional Architecture of Numerical Processing Mechanisms: Defending the Modular Model
Michael McCloskey, Paul Macaruso, Tony Whetstone
In Defense of the Encoding-complex Approach: Reply to McCloskey, Macaruso, & Whetstone
Jamie I. D. Campbell