Nature and Origin of Mathematical Skills (eBook)

J.I.D. Campbell (Herausgeber)

eBook Download: PDF

1992 | 1. Auflage
566 Seiten
Elsevier Science (Verlag)
978-0-08-086745-8 (ISBN)

Infos

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.

Inhalt

Front Cover 1
The Nature and Origins of Mathematical Skills 4
Copyright Page 5
List of contents 6
Introduction 8
Acknowledgements 11
Part 1: Origins of Mathematical Abilities 12
Chapter 1. What a Number Is: Mathematical Foundations and Developing Number Concepts 14
Chapter 2. Relationships Children Construct Among English Number Words, Multiunit Base-Ten Blocks, and Written Multidigit Addition 50
Chapter 3. Understanding Elementary Mathematics 124
Chapter 4. Mathematical Misunderstandings: Qualitative Reasoning About Quantitative Problems 148
Chapter 5. The Role of Expertise in Solving Arithmetic and Algebra Word Problems by Analogy 166
Chapter 6. The Development of Skill in Mental Arithmetic: An Individual Differences Perspective 200
Part 2: Numerical Cognition: Representation, Process, and Architecture 266
Chapter 7. A Theory of Enumeration That Grows Out of a General Theory of Vision: Subitizing, Counting, and FINSTs 268
Chapter 8. Working Memory, Automaticity, and Problem Difficulty 312
Chapter 9. Representation and Retrieval of Arithmetic Facts: A Network-Interference Model and Simulation 342
Chapter 10. MATHNET: Preliminary Results From a Distributed Model of Arithmetic Fact Retrieval 376
Chapter 11. Inhibitory Mechanisms in Normal and Dysfunctional Number Processing 422
Chapter 12. Cognitive Number Processing: An Encoding-Complex Perspective 468
Chapter 13. The Functional Architecture of Numerical Processing Mechanisms: Defending the Modular Model 504
Chapter 14. In Defense of the Encoding-complex Approach: Reply to McCloskey, Macaruso, & Whetstone
Author Index 568
Subject Index 578

Produkt-Details

• Erscheint lt. Verlag: 7.8.1992
• Sprache: englisch
• Themenwelt: Geisteswissenschaften ► Psychologie ► Allgemeine Psychologie
• Themenwelt: Geisteswissenschaften ► Psychologie ► Biopsychologie / Neurowissenschaften
• Themenwelt: Geisteswissenschaften ► Psychologie ► Entwicklungspsychologie
• Themenwelt: Geisteswissenschaften ► Psychologie ► Pädagogische Psychologie
• Themenwelt: Geisteswissenschaften ► Psychologie ► Test in der Psychologie
• Themenwelt: Geisteswissenschaften ► Psychologie ► Verhaltenstherapie
• ISBN-10: 0-08-086745-6 / 0080867456
• ISBN-13: 978-0-08-086745-8 / 9780080867458