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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
Owens, Douglas T.; Steffe, Leslie P. – 1971
The major objective of this study was to investigate differential performances among 5-year-old children when using transitivity of matching relations. Instruments were constructed to measure the subjects' (1) knowledge of matching relations, (2) ability to conserve the relations, and (3) proficiency in making inferences using the transitive…
Descriptors: Conservation (Concept), Kindergarten Children, Mathematical Concepts, Stimuli
Divers, Benjamin P., Jr.; Steffe, Leslie P. – 1971
One major purpose of this investigation was to determine and compare the effects of three different perceptual situations (screening, neutral, and conflict) on kindergarten and first grade children's ability to use the transitive property of the equivalence relation "same length as" and the two order relations "longer than" and…
Descriptors: Abstract Reasoning, Conservation (Concept), Grade 1, Kindergarten Children
Peer reviewed Peer reviewed
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
Peer reviewed Peer reviewed
Carey, Russell L.; Steffe, Leslie P. – Elementary School Journal, 1971
Descriptors: Conservation (Concept), Early Childhood Education, Language Role, Mathematical Concepts
Steffe, Leslie P.; Carey, Russell L. – 1972
The goal of this study was to investigate improvement in the usage of equivalence and order relations under specified instructional conditions. Forty-eight upper middle class kindergarten children were given a 14-session pretreatment designed to define two equivalence and four order relations of length and matching, followed by tests of…
Descriptors: Concept Formation, Conservation (Concept), Elementary School Mathematics, Instruction
Carey, Russel L.; Steffe, Leslie P. – 1969
Three units of instruction were given to 20 four-year-old children and 34 five-year-old children. Unit I was designed to develop the children's ability to establish a length relation between curved lines; Unit II, to develop ability to conserve length; and Unit III, to develop ability to conserve length relations. Testing of the children occurred…
Descriptors: Cognitive Development, Cognitive Processes, Concept Formation, Concept Teaching
Peer reviewed Peer reviewed
Steffe, Leslie P. – Arithmetic Teacher, 1971
Descriptors: Cognitive Development, Conservation (Concept), Elementary School Mathematics, Learning
Peer reviewed Peer reviewed
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
Steffe, Leslie P.; Johnson, David C. – 1970
This study examined differential performances among groups (categories) of first grade children when solving eight different types of arithmetical word problems under two distinct experimental conditions. The categories of children were actually 4 ability groups: (1) low quantitative comparison scores and low IQ (Lorge-Thorndike IQ Test), (2) low…
Descriptors: Ability Grouping, Arithmetic, Conservation (Concept), Factor Analysis
Carey, Russell L.; Steffe, Leslie P. – 1968
This study is one of a series which attempts to arrive at generalizations about the learning of mathematics and the use of its terminology in the context of mathematical structure by young children. The first half of the document describes an experimental training program designed to integrate mathematical concepts of metric space, arc length, and…
Descriptors: Age Differences, Cognitive Development, Conservation (Concept), Correlation