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E-grāmata: Addition and Subtraction: A Cognitive Perspective

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  • Formāts: 260 pages
  • Sērija : Psychology Revivals
  • Izdošanas datums: 15-Aug-2020
  • Izdevniecība: Routledge
  • Valoda: eng
  • ISBN-13: 9781000089202
  • Formāts - PDF+DRM
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  • Formāts: 260 pages
  • Sērija : Psychology Revivals
  • Izdošanas datums: 15-Aug-2020
  • Izdevniecība: Routledge
  • Valoda: eng
  • ISBN-13: 9781000089202

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A hallmark of much of the research on childrens thinking in the 1970s had been the focus on explicit content domains. Much of this research had been represented by an eclectic collection of studies sampled from a variety of disciplines and content areas. However, in the few years before this publication, research in several content domains has begun to coalesce into a coherent body of knowledge. Originally published in 1982, the chapters in this work represent one of the first attempts to bring together the perspectives of a variety of different researchers investigating a specific, well defined content domain.

This book presents theoretical views and research findings of a group of international scholars who are investigating the early acquisition of addition and subtraction skills by young children. Together, the contributors bring a blend of psychology, educational psychology, and mathematics education to this topic. Fields of interest such as information processing, artificial intelligence, early childhood, and classroom teaching and learning are included in this blend.
Preface.
1. An Emerging Paradigm for Research on Addition and
Subtraction Skills Thomas A. Romberg
2. The Development of Addition and
Subtraction Problem-Solving Skills Thomas P. Carpenter and James M. Moser
3.
Levels of Description in the Analysis of Addition and Subtraction Word
Problems Pearla Nesher
4. A Classification of Cognitive Tasks and Operations
of Thought Involved in Addition and Subtraction Problems Gérard Vergnaud
5.
Interpretations of Number Operations and Symbolic Representations of Addition
and Subtraction J. Fred Weaver
6. An Analysis of the Counting-On Solution
Procedure in Addition Karen C. Fuson
7. Childrens Counting in Arithmetical
Problem Solving Leslie P. Steffe, Patrick W. Thompson and John Richards
8.
The Development of Addition and Subtraction Abilities Prior to Formal
Schooling in Arithmetic Prentice Starkey and Rochel Gelman
9. Towards a
Generative Theory of "Bugs" John Seely Brown and Kurt VanLehn
10. Syntax and
Semantics in Learning to Subtract Lauren B. Resnick
11. General Developmental
Influences on the Acquisition of Elementary Concepts and Algorithms in
Arithmetic Robbie Case
12. The Structure of Learned Outcomes: A Refocusing
for Mathematics Learning Kevin Collis
13. Type 1 Theories and Type 2 Theories
in Relationship to Mathematical Learning Richard R. Skemp
14. The Development
of Addition in Contexts of Culture, Social Class, and Race Herbert P.
Ginsburg
15. Learning to Add and Subtract: A Japanese Perspective Giyoo
Hatano
16. The Psychological Characteristics of the Formation of Elementary
Mathematical Operations in Children V. V. Davydov. Author Index. Subject
Index.
Thomas P. Carpenter, James M. Moser, Thomas A. Romberg