Abstraction and Representation: Essays on the Cultural Evolution of Thinking

Pirmais vāks
Springer Science & Business Media, 1995. gada 31. dec. - 418 lappuses
The author of this book is affiliated with the Center for Development and Socialization of the Max Planck Institute for Human Development and Ed ucation in Berlin and heads its program on culture and cognition which de votes its labors to the reconstruction of scientific concepts through history in a perspective of what might be called "historical epistemology." He is also a member of a related research group in the newly founded Max Planck Institute for the History of Science in Berlin. Perhaps this double affiliation throws some light on the scope of Damerow's scientific interests. In any event it will explain why representatives of both these institutions join in an effort to introduce Peter Damerow's writings to an English speaking audi ence. Damerow's scholarship ranges across widely different areas including philosophy and history of science, psychology, and education. Among his fields of expertise are the emergence of writing, early Babylonian mathe matics, the history of arithmetic, the relationship between pure and applied mathematics, the theory and methods of mathematics instruction, the tran sition from preclassical to classical mechanics, and the history and theory of relativity.
 

Saturs

Notes
10
Bibliography
27
Cognitive Structures and Material Action
42
Notes
54
Bibliography
66
Abstraction as the Isolation of Qualities
72
The Normal Pattern of Teaching
78
The Function of Exercises
81
Summations
281
Numerical Sign Systems with Specific Areas of Application
288
From Number Analogues to the Abstract Number Concept
294
On the Preconditions of Piagets Constructivist Conception
301
Ontogenesis of the Number Concept in Piagets Genetic
302
Historiogenesis of the Number Concept in Piagets Genetic
308
Symbolic Representation and Historical Transmission
314
Protoarithmetic of a Stone Age Culture
321

Abilities as Cognitive Structures
98
MATHEMATICS EDUCATION AND SOCIETY
111
Mathematics as a Profession
126
Notes
144
Developmental Stages of Mesopotamian Arithmetic
159
Theoretical Perspective
167
The Means of Calculation in Ancient Egypt
188
The Sources for Reconstructing the History of Old Babylonian
199
The History of Mesopotamian Calculating Aids
211
THE FIRST REPRESENTATIONS OF NUMBERS
275
Protoarithmetical Techniques in the Transition to a Literate
329
Ontogenesis and Historiogenesis of the Number Concept
354
Notes
362
ON HISTORICAL EPISTEMOLOGY
370
Bibliography
381
Biological Evolution and Historical Development
387
TOOLS OF SCIENCE
395
Continuity and Discontinuity of the Development of Science
401
NAME INDEX
407
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