Based on Piaget's theory of logico-mathematical knowledge, 126 students in grades 2-5 were asked 6 questions about elapsed time. The main reason found for difficulty with elapsed time is children's inability to coordinate hierarchical units (hours and minutes). The educational implications drawn are that students must be encouraged to think about…

Piaget (1971) made a distinction between intuitive (preoperational) time and operational (logico-mathematical) time. According to Piaget, operational time develops around 7-8 years of age and is characterized by children's ability to deduce, for example, that if A was born before B, A will always be older than B. When time is still intuitive,…

The purpose of this study was to investigate children's construction of 10s out of the 1s they have already constructed. It was found that, for many younger children, a dime was something different from 10 pennies even though they could say with confidence that a dime was worth 10 cents. As the children grew older, their performance improved.…

To find out if children could make functions before age 4, 73 children aged 1 to 4 were encouraged to imitate the use of a lever to make a beanbag fly up. Functions are mental relationships that preoperational children can make between 2 things at a time in a unidirectional way (Piaget, Grize, Szeminska, & Bang, 1968/1977). The child's…

Preschool teachers use the domino effect--standing dominos on end in rows and pushing one over--to examine how play contributes to children's acquisition of knowledge. Using diagrams, photos, and vignettes of children between the ages of 3 and 5 years, the authors demonstrate how children at different stages of development use physical knowledge…

To build cognitive foundation for number, twenty-six low-performing, low-SES first graders did mathematical physical-knowledge activities, such as "bowling," during the first half of the year. As their arithmetic readiness developed, they tried more word problems and games. At the end of the year, these children did better in mental arithmetic and…

Education is not a respected profession because educational practice is not based on a solid body of scientific research and theory. Education is at a prescientific or early scientific stage of development. Attempts by educators to base their practice on behavioral science fail because behaviorism encompasses only a narrow segment of human…

Discusses Piaget's theory of constructivism and its practical application in schools. Gives evidence for the value of constructivist teaching and the importance of offering different kinds of education within the same system. (WD)

Fifty 1-to 3-year-olds were asked to imitate: (1) the rolling of a cylinder down an incline and (2) the making of an incline with a board and a block. Their incorrect imitations and progress were videotaped and analyzed, and interpreted in light of Piaget's theory about the elaboration of logico-mathematical relationships in an interrelated way.…

Sixty Japanese children ranging in age from 3 years 4 months to 7 years 5 months were individually interviewed with three Piagetian tasks. Children's levels of representation were assessed by asking for a graphic representation of 4 dishes, 6 pencils, 8 small blocks etc. A conservation-of-number task was then given to assess children's level of…

Discusses how one's conception of intelligence and its development profoundly affects the formulation of educational objectives. A mechanistic conception of intelligence leads to the definition of objectives as a collection of fragmented "cognitive skills", while a Piagetian conception attempts to develop children's intelligence as an…

Equivalent fractions are usually introduced in fourth grade and reviewed repeatedly in the subsequent grades as the four arithmetical operations are taught. In spite of this repeated instruction, the results are disappointing. This paper reviews some data from previous research documenting the difficulty of equivalent fractions, explains this…

A preschool curriculum for lower class children was developed based on Piaget's theory. Evaluation procedures were developed to parallel a Piagetian curriculum. According to Piagetian theory, the mechanism of classification is the coordination of the intensive and extensive properties of a group of objects. The ability to dichotomously classify…