First published in 1997. This is Volume II of selected works of Jean Piaget which looks at his thinking on children and how their interaction and perception of number, touching on the areas of development in thinking on conversation of quantities and invariance of wholes; cardinal and ordinal one-one correspondence; as well as additive and multicatitive compositions. These explorations look into tracing the development of the operations which give rise to number and continuous quantities, to space, time, speed, etc., operations which, in these essential fields, lead from intuitive and egocentric pre-logic to rational co-ordination that is both deductive and inductive.
Table of Contents
Part 1 Conservation of Quantities and Invariance of Wholes; Chapter 1 Conservation of Continuous Quantities; Chapter 2 Conservation of Discontinuous Quantities and its Relation to One-One Correspondence1With the collaboration of M. Juan Jaen.; Part 2 Cardinal and Ordinal One-One Correspondence; Chapter 3 Provoked Correspondence and Equivalence of Corresponding Sets; Chapter 4 Spontaneous Correspondence Cardinal Value of Sets1With the collaboration of Mlle. Zoé Trampidis and Mme. Rafia Mehmed?emin.; Chapter 5 Seriation, Qualitative Similarity and Ordinal Correspondence; Chapter 6 Ordination and Cardination1In collaboration with Mlle Zahara Glikin.; Part 3 Additive and Multiplicative Compositions; Chapter 7 Additive Composition of Classes Relations between Class and Number; Chapter 8 Additive Composition of Numbers and Arithmetical Relations of Part to Whole1With the collaboration of Mme Tatiana-Katzaroff-Eynard and Mlle Zoé Trampidis.; Chapter 9 Co-Ordination of Relations of Equivalence and Multiplicative Composition of Numbers1With the collaboration of Mile Edith Vauthier.; Chapter 10 Additive and Multiplicative Composition of Relations and Equalization of Differences;
Jean Piaget, C. Gattegno, F. M. Hodgson