Investigates possible relations between the methods of quantification available to children and their performance on certain tasks requiring an understanding of number invariance. (Author/RK)

Cardinal-ordinal abilities and attentional preferences of kindergarten nonconservers, kindergarten conservers, and third grade conservers of number were compared by employing standarized versions of Piagetian cardinal-ordinal tasks and a triad preference task. (Author/JMB)

A central component in the young child's construction of a number system is an understanding of correspondence. Although current research demonstrates that preschool children use correspondence in a variety of tasks, the nature of the relationship between the use of correspondence action patterns and the use of correspondence as a quantifier is…

Twenty nonconserving retarded adults were assigned to equated training and control groups (n=10 in each group). (Author)

In a replication study, children 3 and 4 years old were given verbal rule training in order to probe the importance of identity, reversibility, and compensation explanations in training number and length concepts. Among the results, as before, identity was found to be the most significant factor in conservation acquisition. (Author/RH)

Mildly retarded preadolescents received equality-rule training, or instruction in which identical or different numbers were applied to identical or different quantities. In tasks of conservation of number, length, weight, and volume, these preadolescents scored higher than did preadolescents who received other types of training. (BC)

This study reports a factor analysis of the data resulting from a 3-year longitudinal investigation into conservation of number and related mathematical type concepts. Conservation of number, which represents a subset within the concept of conservation, was measured by use of a 20-item, criterion-referenced testing device. The subjects, who were…

The objective of this study was to assess the ability of a previously prepared diagnostic test to detect the need for remediation in preschool children and then to assess the effectiveness of specially designed remedial materials. The subjects consisted of 47 boys and 25 girls from four private kindergartens in Nashville, Tennessee. All subjects…

Discussed are the results of interviews with 63 Australian children (interviewed in English) and 62 Nigerian children (62 interviewed in English and 60 interviewed in Yoruba) to determine how they used number concepts in discussing five demonstrations manipulating physical matter. Differences between the two groups are considered. (RH)

In this study children between the ages of 3 and 6 years were each presented with six number problems in which length and density were varied according to the proposed composition rules. (Authors)

Investigated the degree to which early conservation is predicted of later arithmetic achievement by examining the relationship between performance on a conservation task at the beginning of kindergarten and arithmetic achievement towards the end of the second grade. (Author/DB)

The inclusion of group activities based on theories of cognitive development within day care settings is urged. Several examples of classroom-tested activities are included. (ED)

Children were grouped according to ability to conserve number and then randomly assigned to training on arithmetic concepts or playing a game. The research hypothesis that there would be an interaction effect between conservation and effect of treatment was not confirmed. (SD)

The purpose of this study was to explore among first grade children the relationship between achievement in mathematics and the understanding of the principles of conservation, seriation, and categorization as these are defined by Jean Piaget. Research instruments included those designed by Piaget and the Greater Cleveland Mathematics Tests.…