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Carpenter, Thomas P. – Journal for Research in Mathematics Education, 1975
The effects of numerical and visual cues, equality or inequality of initial volumes, size of measurement unit, and order of cue presentation on conservation of liquid volumes by first- and second-graders were investigated. Some findings extend, and others contradict, those of Piaget. (SD)
Descriptors: Cognitive Development, Conservation (Concept), Elementary School Mathematics, Learning
Carpenter, Thomas P. – 1971
First-grade students' understanding of several basic measurement processes was examined. Twenty randomly selected students from five first-grade classes in two different schools were individually examined on 11 measurement tasks. Seven of the tasks were adapted from items reported in the Gal'perin and Georgiev study, designed to test understanding…
Descriptors: Cognitive Development, Conservation (Concept), Elementary School Mathematics, Geometric Concepts
Carpenter, Thomas P. – 1972
Reported is a study of the development of conservation and measurement concepts, with reference to certain task factors which may affect performance. A group of 129 first and second graders were given a test of conservation and measurement consisting of five problem types crossed with three transformation types. The problems all involved moving…
Descriptors: Conservation (Concept), Elementary School Mathematics, Grade 1, Grade 2
Hiebert, James; Carpenter, Thomas P. – 1980
This study investigated: (1) the relationship between the development of information processing capacity and certain Piagetian logical reasoning abilities; and (2) how the development of these cognitive abilities related to acquisition of certain measurement concepts. Forty first-grade children were individually administered tests of conservation…
Descriptors: Cognitive Development, Cognitive Processes, Concept Formation, Conservation (Concept)
Carpenter, Thomas P. – 1971
The major purpose of this study was 1) to investigate the development of the concept of a unit of measure and the coordination of unit size and the number of units 2) to relate this development to the development of conservation and 3) to determine the role of equivalence and nonequivalence relations in certain conservation and measurement…
Descriptors: Age Differences, Analysis of Variance, Children, Cognitive Measurement