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Tables of Contents for Studies in Reflecting Abstraction
Chapter/Section Title
Page #
Page Count
REFLECTING ABSTRACTION IN CONTEXT
1
28
Robert L. Campbell
Structures, equilibration, and reflecting abstraction
1
6
Origins of the present volume
7
1
Piaget's first thoughts on reflecting abstraction
8
6
Reflecting abstraction in the full context of Piaget's late-period thinking
14
7
Do we engage in reflecting abstraction whenever we are not relying on perception?
21
4
The translation
25
1
Acknowledgments
26
3
PART ONE: LOGICO-ARITHMETICAL OR ALGEBRAIC ABSTRACTION
29
140
Acknowledgments
32
1
Abstraction, differentiation, and integration in the use of elementary arithmetic operations
33
22
Alina Szeminska
The construction of common multiples
55
14
Jean-Louis Kaufmann
J.-F. Bourquin
The inversion of arithmetic operations
69
18
Albert Moreau
Abstraction and generalization during transfers of units
87
18
Pierre Moessinger
Problems of class inclusion and logical implication
105
34
Daphne Voelin-Liambey
Ioanna Berthoud-Papandropoulou
The formation of analogies
139
14
Jacques Montangero
J.-B. Billeter
From concrete forms of the Klein group to the INRC group
153
16
Alberto Munari
Rotations of 180°
156
6
Systems of four objects or classes
162
7
PART TWO: THE ABSTRACTION OF ORDER
169
48
Additive and exponential series
171
8
Thalia Vergopoulo
Conditions on reading off complex additive series
179
14
Reading off and continuing already given series
179
9
Jeanine Cuaz
Jacqueline Cambon
Abstraction in the course of imitating another person's actions
188
5
Jean-Jacques Ducret
Ordering practical activity
193
14
Direct ordering
193
6
Silvia Dayan
Edith Dekkers
Direct and inverse orderings of actions
199
8
Madeleine Spycher
Claude Voelin
Changes in ordering or necessary backtracking
207
10
Alex Blachet
Conclusions of Part Two
215
2
PART THREE: THE ABSTRACTION OF SPATIAL RELATIONSHIPS
217
86
Relations between the surface area and the perimeter of rectangles
219
14
Jean-Paul Bronckart
Edouard Rappe du Cher
The movements of a suspended projectile
233
16
Michelangelo A. Fluckiger
Isabelle Fluckiger
Diagonals
249
8
Margot Lavallee
Maria Sole Sugranes
The displacement of a reference point in a system of cyclic movements
257
8
Edith Ackermann
Nicole Cox
Abstraction from displacements and from their coordinations
265
16
Jacqueline Cambon
Jeanine Cuaz
Rotations and translations
281
8
Jacques de Lannoy
The rotation of a bar around a pivot during the sensorimotor period
289
14
Claude Monnier
Conclusions of Part Three
297
6
GENERAL CONCLUSIONS
303
20
I. Projection
304
3
II. The creation of novelties specific to reflecting abstraction
307
5
III. Equilibration, the source of novelties, and relationships between the intensions and extensions of structures
312
5
IV. Empirical and reflecting abstraction
317
6
Author index
323
4
Subject index
327