Although originally published in France in 1951 this English translation was not published until 1975. The book supplements the authors' previous publications on the development of thought in the child and is the result of two preoccupations: how thought that is in the process of formation acts to assimilate those aspects of experience that cannot be assimilated deductively - for example, the randomly mixed; and the necessity of discovering how the mental processes work in the totality of spontaneous and experimental searchings that make up what is called the problem of 'induction'. Induction is a sifting of our experiences to determine what depends on regularity, what on law, and what on chance. The authors examine the formation of the physical aspects of the notion of chance; they study groups of random subjects and of 'special' subjects; and they analyse the development of combining operations which contributes to determining the relationship between chance, probability, and the operating mechanisms of the mind.

Although originally published in France in 1951 this English translation was not published until 1975. The book supplements the authors’ previous publications on the development of thought in the child and is the result of two preoccupations: how thought that is in the process of formation acts to assimilate those aspects of experience that cannot be assimilated deductively – for example, the randomly mixed; and the necessity of discovering how the mental processes work in the totality of spontaneous and experimental searchings that make up what is called the problem of ‘induction’. Induction is a sifting of our experiences to determine what depends on regularity, what on law, and what on chance. The authors examine the formation of the physical aspects of the notion of chance; they study groups of random subjects and of ‘special’ subjects; and they analyse the development of combining operations which contributes to determining the relationship between chance, probability, and the operating mechanisms of the mind.

In this book Hundert proposes a new, unified view of the mind, one that integrates the insights of philosophers, psychologists, and neuroscientists. Through a detailed discussion of major theories from these and related disciplines, he gradually reveals links between what were previously unconnected approaches to human thought and experience.

For fifty years Bärbel Inhelder (1913-1997) was the research companion of Jean Piaget. In this unique volume, published in her honour, leading international researchers examine the various aspects of her work and ideas and her contribution to developmental psychology. Following an initial chapter establishing Inhelder's stature as an independent researcher in her own right, the various research topics that she explored are reviewed and discussed with specific reference to her own perspective and in the chronological order in which she approached them. While the book explores Inhelder's work with her more famous colleague, it also highlights areas of research in which her ideas were at variance with those of Piaget, such as mental imagery, and areas in which her innovations have not been fully recognised, such as her discovery of the formal operations stage - an event usually attributed to Piaget - and her introduction of longitudinal studies in the field of cognitive development. Her research, viewpoint and contribution in other fields such as mental retardation, learning, and cross-cultural issues in development are also discussed. The final chapter, written by Inhelder herself, deals with experimental reasoning in children and adolescents and provides a glimpse of her creativity.

This unusual volume presents an overview of Jean Piaget's work in psychology--from his earliest writings to posthumous publications. It also contains a glossary of the essential explanatory concepts found in this work. The focus is on Piaget's psychological studies and on the underlying epistemological theses. The book may be consulted in various ways depending on whether one is looking for an introduction to Piaget's theory, details about a particular concept, a survey of his body of work, or a historical perspective. Readers who are relatively unfamiliar with Piaget's ideas and seek access to them through this book will not necessarily proceed in the same way as those who are acquainted with Piaget's work and wish to refresh, synthesize, or complete their knowledge. The volume is divided into two major sections with several subdivisions as follows: * The Chronological Overview presents Piaget's early ideas and the most important sources of his inspiration, and reviews his research work dividing it into four main periods plus a transitional one. * The Glossary covers a number of explanatory concepts which are essential to Piaget's theory.

This book examines the origins and development of children's mathematical knowledge. It contrasts the widely held view that counting is the starting point for mathematical development with an alternative comparison-of-quantities position. According to the comparison-of-quantities position, the concept of number builds upon more basic concepts of equality, inequality, and less-than and greater-than relations, which derive from comparisons between unenumerated quantities such as lengths. The concept of number combines these basic comparative concepts with the concept of a unit of measure, which allows one quantity to be described as a multiple of another. Sophian examines these alternative accounts of children's developing mathematical knowledge in the light of research: on children's counting; on their reasoning about continuous quantities such as length and area; on the development of the concept of unit; on additive and multiplicative reasoning; and on knowledge about fractions. In the closing chapters, Sophian draws out the developmental and the educational implications of the research and theory presented. Developmentally, the comparison-of-quantities position undermines the idea that numerical knowledge develops through domain-specific learning mechanisms in that it links numerical development both to physical knowledge about objects, which is the starting point for the concept of unit, and to the acquisition of linguistic number terms. Instructionally, the comparison-of-quantities perspective diverges from the counting-first perspective in that it underscores the continuity between whole-number arithmetic and fraction learning that stems from the importance of the concept of unit for both. Building on this idea, Sophian advances three instructional recommendations: First, instruction about numbers should always be grounded in thinking about quantities and how numbers represent the relations between them; second, instruction in the early years should always be guided by a long-term perspective in which current objectives are shaped by an understanding of their role in the overall course of mathematics learning; and third, instruction should be directly toward promoting the acquisition of the most general mathematical knowledge possible. The Origins of Mathematical Knowledge in Childhood is intended for researchers, professionals, and graduate students in developmental psychology, educational psychology, and mathematics education, and as a supplementary text for advanced undergraduate courses in cognitive development, educational psychology, and mathematics education.

This controversial book explores the potential for the use of lotteries in social, and particularly legal, decision-making contexts. Neil Duxbury considers in detail the history, advantages, and drawbacks of deciding issues of social significance by lot and argues that the value of the lottery as a legal decision-making device has generally been underestimated.