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.
Author(s): Jamie I.D. Campbell (Eds.)
Series: Advances in Psychology 91
Edition: 1
Publisher: Elsevier, Academic Press
Year: 1992
Language: English
Pages: iii-x, 3-569
Content:
Edited by
Page iii
Copyright page
Page iv
Introduction
Pages vii-ix
Acknowledgements
Page x
Chapter 1 What A Number is: Mathematical Foundations and Developing Number Concepts Original Research Article
Pages 3-38
Kevin F. Miller
Chapter 2 Relationships Children Construct Among English Number Words, Multiunit Base-Ten Blocks, And Written Multidigit Addition Original Research Article
Pages 39-112
Karen C. Fuson, Judith L. Fraivillig, Birch H. Burghardt
Chapter 3 Understanding Elementary Mathematics Original Research Article
Pages 113-136
Jeffrey Bisanz, Jo-Anne LeFevre
Chapter 4 Mathematical Misunderstandings: Qualitative Reasoning About Quantitative Problems Original Research Article
Pages 137-153
Richard E. Mayer, Anne Bovenmyer Lewis, Mary Hegarty
Chapter 5 The Role Of Expertise In Solving Arithmetic And Algebra Word Problems By Analogy Original Research Article
Pages 155-188
Laura R. Novick
Chapter 6 The Development Of Skill In Mental Arithmetic: An Individual Differences Perspective Original Research Article
Pages 189-253
Keith F. Widaman, Todd D. Little
Chapter 7 A Theory Of Enumeration That Grows Out Of A General Theory Of Vision: Subitizing, Counting, And Finsts Original Research Article
Pages 257-299
Lana M. Trick
Chapter 8 Working Memory, Automaticity, And Problem Difficulty Original Research Article
Pages 301-329
Mark H. Ashcraft, Rick D. Donley, Margaret A. Halas, Mary Vakali
Chapter 9 Representation And Retrieval Of Arithmetic Facts: A Network-Interference Model And Simulation Original Research Article
Pages 331-364
Jamie I.D. Campbell, Michael Oliphant
Chapter 10 Mathnet: Preliminary Results From A Distributed Model Of Arithmetic Fact Retrieval Original Research Article
Pages 365-409
Michael McCloskey, A. Margrethe Lindemann
Chapter 11 Inhibitory Mechanisms In Normal And Dysfunctional Number Processing Original Research Article
Pages 411-455
James M. Clark
Chapter 12 Cognitive Number Processing: An Encoding-Complex Perspective Original Research Article
Pages 457-491
Jamie I.D. Campbell, James M. Clark
Chapter 13 The Functional Architecture Of Numerical Processing Mechanisms: Defending The Modular Model Original Research Article
Pages 493-537
Michael McCloskey, Paul Macaruso, Tony Whetstone
Chapter 14 In Defense Of The Encoding-Complex Approach: Reply To Mccloskey, Macaruso, & Whetstone Original Research Article
Pages 539-556
Jamie I.D. Campbell
Author Index
Pages 557-565
Subject Index
Pages 567-569
