This study investigated mathematical behaviors on inequality tasks using two alternative response measures in preschool subjects. (Author)

Children completed three types of equivalent cardination tasks which assessed the influence of different stimulus configurations (linear, linear-nonlinear, and nonlinear), and density of object spacing. Prior results reported by Siegel, Brainerd, and Gelman and Gallistel were not replicated. Implications for understanding cardination concept…

Programed instruction accelerated the ability of 62 children, ages four to six, in acquiring the concept of number conservation. (CP)

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)

Assessing Markman's hypothesis that the organizational principles underlying collection concepts facilitate children's performance on cognitive tasks requiring part-whole comparisons, three experiments indicated that the facilitative effect of collection labels appears to be specific to the class-inclusion task. Results suggest that Markman's…

This booklet is the final report on a project designed to determine the extent to which students in grades 2, 3, and 4 who were having particular difficulty in learning number concepts were not yet conserving number. A test of number conservation was given to all children assigned to the remedial group; 10 of the 23 were found to be nonconservers.…

In a program to facilitate the emergence of number conservation in preschool children, 45 middle class children and 64 Head Start and Title I children were trained to deal with perceptual confusions so that they could utilize this understanding to disregard irrelevant changes, such as spatial rearrangement, and thereby become aware of conservation…

The major question this study attempted to answer was, "Can conservation of number, area, weight, mass, and volume to be induced and retained by 3- and 4-year-old children by structured instruction with a multivariate approach? Three nursery schools in Iowa City supplied subjects for this study. The Institute of Child Behavior and Development…

Number conservation skills were investigated in 10 8-to 16-year-old mentally retarded children (IQ 29-65). (CL)

The perceptual transformation approach was found to be more effective in facilitating the acquisition of conservation subskills than the numerical operational approach. Neither approach was effective in facilitating the acquisition of conservation of number by nonconserving 4- and 5-year old children of lower socioeconomic status. (MN)

An experimental and control group of thirty-two four and five year-old children received identical quantitative tasks except for the language used. Results showed that children's difficulties with simple arithmetic tasks were not purely linguistic. The conclusion supports the suggestion that the development of language is intertwined with…

The relation of CA, MA, and IQ to conservation was examined by comparing the performance of bright, normal, and retarded children matched on the critical MA of six years. (Author)

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…

PIAGET HAS PROPOSED THAT THE CONCEPT OF NUMBER IS PREDICATED ON THE CONCEPT OF CONSERVATION OF SUBSTANCE--THAT IS, THE CONCEPT THAT THE AMOUNT OR NUMBER REMAINS THE SAME DESPITE SPATIAL REARRANGEMENTS. BECAUSE OF THE CURRENT EMPHASIS ON REVISION OF MATHEMATICS CURRICULUM AND OF THE APPARENT VALUE OF NUMBER TRAINING TO PRESCHOOL DISADVANTAGED…