A series of learning activities used in grades one and two to teach number conservation and arithmetic are presented in detail. The activity sequence is based on working with one-to-one correspondences for a lengthy period before introducing arithmetic operation. The author claims the approach is very successful. (SD)

Attainment relative to six cognitive operations and four number and computational skills was assessed for 90 elementary students using clinical procedures. Variance associated with conservation of number, seriation, and logical classification competency accounted for a significant proportion of the variance in achievement scores. (Author/MK)

A functional (as opposed to structural) theory of intellectual development is presented and used to generate specific performance models for Piagetian tasks involving the control of variables (cf. Inhelder and Piaget, 1958). On the basis of these models, it is concluded that intelligent, field independent 7- and 8-year-olds should be able to…

Primary school children at different stages of acquisition of conservation pretended that their judgments on a series of conservation problems were the opposite of their actual beliefs. The nonconservers and transitional conservers made significant gains in conservation, while the conservers did not regress. Cognitive dissonance training is…

As an example, two aspects of children's conservation are explained: decalages and the shift from perceptual to quantitative cues. This approach, relative to structuralist formulation, involves cognitive factors such as prior learning, as well as impinging social experience. It is compatible with Piaget's theory, yet simpler and more flexible. (CP)

Forty-five children aged four-and-a-half to five-and-a-half years old were given number conservation tasks in three conditions: (1) a count condition in which children were helped to count each set after the transformation; (2) a match condition in which children were helped to connect by a string each animal with its peanut; and (3) the standard…

This book examines the Piagetian periods of concrete operations and formal operations from both educational and psychological points of view. The twin purposes are to interpret these levels and the transition between them in terms of implications for mathematics curriculum and teaching, and to derive psychological implications from experiences in…

Discussed is research which shows, in contrast to the dominant impression given by Piaget's work, that before the onset of schooling the young child possesses several kinds of fundamental "intuitions" concerning numbers. (Author/TG)

A general theory of how children learn conservation concepts is presented. The acquisition process is described at an abstract level in terms of a rule-sampling system, implying a three-state Markov model with identifiable parameters. Three experiments testing the model's quantitative predictions about conservation learning experiments are…

This document focuses on research on the relation between children's use and understanding of counting as a symbol system for number and the development of number conservation concepts. An underlying assumption is that a better match between mathematics curricula and the educational needs of children will be facilitated by learning more about the…

This book is a collection of the papers presented at the fifth International Interdisciplinary Conference on Piagetian Theory and the Helping Professions, held at the University of Southern California on January 24, 1975. The conference was sponsored by University Affiliated Program at Childrens Hospital of Los Angeles; 44 papers are included.…

Describes and discusses the rule-assessment approach, a new research strategy for studying developmental sequences in children's acquisition of knowledge. Four experiments were conducted to illustrate the utility of this approach across a variety of concepts and a wide range of ages (three-year-olds to college students). (Author/CM)

Debates as to the appropriateness of using the Karplus Islands Puzzle as an instrument to assess formal-operational thought. (CP)

Advocated is the use of everyday games and situations instead of the traditional use of textbooks, workbooks, and worksheets. New goals and principles for the beginning arithmetic student are presented. Modifications of activities that promote the constructivist ideal are included. (KR)