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Murray, Frank B. – Journal for Research in Mathematics Education, 1970
Reported is a study which measured conservation of length among kindergarten and first-grade subjects using several verbal and nonverbal procedures. The results indicated that conservation of length is not a simple unitary concept, but has empirical gradations. (Author/CT)
Descriptors: Conservation (Concept), Elementary School Mathematics, Learning, Mathematical Concepts

Owens, Douglas T.; Steffe, Leslie P. – Journal for Research in Mathematics Education, 1972
Stimulus conditions were found to interact with conservation level and relation type. (MM)
Descriptors: Conservation (Concept), Kindergarten Children, Mathematics Education, Number Concepts

Sparks, Billie Earl; And Others – Journal for Research in Mathematics Education, 1970
Investigated was the feasibility of inducing number conservation through training kindergarten children on reversibility tasks not related to the criterion measure. (JG)
Descriptors: Conservation (Concept), Elementary School Mathematics, Instruction, Mathematical Concepts

Romberg, Thomas A.; Gilbert, Lynn E. – Journal for Research in Mathematics Education, 1972
An exploratory study involving three days of brief instruction in a process-by-attribute approach. Significant performance gains were recorded. (MM)
Descriptors: Achievement Tests, Conservation (Concept), Geometric Concepts, Instruction

Steffe, Leslie P. – Journal for Research in Mathematics Education, 1970
Four levels of quantitative comparisons based on Piagetian task analysis and three IQ levels were used to partition a population of 341 first grade children. Each child was then tested on a set of addition facts and a set of addition problems which varied according to the use of aids or transformation. (JG)
Descriptors: Addition, Arithmetic, Conservation (Concept), Elementary School Mathematics

Callahan, LeRoy G.; Passi, Sneh Lata – Journal for Research in Mathematics Education, 1971
This study investigated the relationship between conservation of length and impulsive-reflectivity. Kindergarten and first-grade students were administered two conservation of length tasks and an impulsive-reflexive scale. No statistically significant relationship between the two concepts was found. (FL)
Descriptors: Concept Formation, Conservation (Concept), Elementary School Mathematics, Geometric Concepts

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

Wagner, Sigrid – Journal for Research in Mathematics Education, 1981
This study investigated students' understanding of two mathematical relations as measured by conservation tasks. Thirty students were interviewed, half each at the middle and high school levels. The results suggest that the ability to conserve equation or function varies among pupils of different ages, sexes, and mathematical backgrounds. (MP)
Descriptors: Algebra, Cognitive Processes, Conservation (Concept), Educational Research

Mpiangu, Benayame Dinzau; Gentile, J. Ronald – Journal for Research in Mathematics Education, 1975
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)
Descriptors: Cognitive Development, Conservation (Concept), Elementary Education, Elementary School Mathematics

Silver, Edward – Journal for Research in Mathematics Education, 1976
Students were pretested, then 27 first graders were trained using a highly verbal procedure emphasizing class addition activities. On posttests, trained subjects significantly improved their class inclusion and number conservation scores, but no effects were found for substance conservation or transitivity. (DT)
Descriptors: Cognitive Development, Conservation (Concept), Elementary School Mathematics, Elementary Secondary Education

Gullen, George E. – Journal for Research in Mathematics Education, 1978
Data were collected on tactics used when making a sequence of set comparisons in terms of more or equal number. (MP)
Descriptors: Cognitive Development, Cognitive Processes, Concept Formation, Conservation (Concept)

Riggs, F. T.; Nelson, L. D. – Journal for Research in Mathematics Education, 1976
First graders' length conservation was measured using a verbal and nonverbal test, and the results were compared as predictors of mathematics achievement. Findings showed that verbal conservation scores were superior to nonverbal conservation scores and to intelligence scores for predicting achievement. (DT)
Descriptors: Cognitive Development, Conservation (Concept), Elementary School Mathematics, Elementary Secondary Education

Taloumis, Thalia – Journal for Research in Mathematics Education, 1975
Area and measurement tasks representative of those used by Piaget were administered to 168 primary students. Data were analyzed to determine effects of sex, age, and task sequence. (SD)
Descriptors: Cognitive Development, Conservation (Concept), Elementary Education, Elementary School Mathematics

Schwebel, Andrew I.; Schwebel, Carol R. – Journal for Research in Mathematics Education, 1974
This study investigated the relationship between reflectivity-impulsivity and performance on Piagetian tasks with primary-grade children. Findings indicate that performance was best among the more reflective students but that performance of the normally more impulsive students would increase if they were restrained from answering too quickly. (LS)
Descriptors: Cognitive Development, Conservation (Concept), Elementary School Mathematics, Learning

Steffe, Leslie P.; Carey, Russell L. – Journal for Research in Mathematics Education, 1972
A study of conservation of length concepts covering the symmetric, asymmetric, reflexive, nonreflexive, and transitive relations. Their order of development was traced during the course of a 15-lesson sequence of related instruction. (MM)
Descriptors: Achievement Tests, Conservation (Concept), Criterion Referenced Tests, Geometric Concepts
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