Abstraction and Representation: Essays on the Cultural Evolution of ThinkingSpringer 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 |
381 | |
Biological Evolution and Historical Development | 387 |
TOOLS OF SCIENCE | 395 |
Continuity and Discontinuity of the Development of Science | 401 |
407 | |
Citi izdevumi - Skatīt visu
Abstraction and Representation: Essays on the Cultural Evolution of Thinking Peter Damerow Ierobežota priekšskatīšana - 2013 |
Abstraction and Representation: Essays on the Cultural Evolution of Thinking Peter Damerow Priekšskatījums nav pieejams - 2014 |
Abstraction and Representation: Essays on the Cultural Evolution of Thinking Peter Damerow Priekšskatījums nav pieejams - 2010 |
Bieži izmantoti vārdi un frāzes
ability activity archaic numerical signs archaic texts arithmetical meaning arithmetical techniques arithmetical thinking assimilation assumption basic calculating aids characteristics cognitive constructs cognitive structures concrete constructive-additive context counters counting counting rods cultural cuneiform Damerow determined developmental developmental psychology Egyptian arithmetic Eipo empirical epistemology example fact function grain Hegel's historical development ical individual interpretation ISBN knowledge labor learning process logic logico-mathematical math mathematical thinking mathematics education means measures mediation mental Mesopotamia metical metrological multiplication number concept number words numerical notations numerical sign systems objects ontogenesis ontogenetic order representations particular period Piaget Piaget's theory preconditions problem proto-Elamite psychology quantities reckoning board reconstruction reflective abstraction regard relations relationship representation of numbers represented result Rhind Papyrus rod numerals rules schema scientific sequence seriation sexagesimal numbers sexagesimal system Shuruppak social solving specific stage symbols system of numerals tablets theoretical thought tion transition unit fractions Uruk writing
Atsauces uz šo grāmatu
Exploring the Limits of Preclassical Mechanics: A Study of Conceptual ... Peter Damerow Ierobežota priekšskatīšana - 2004 |