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…

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…

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…

In this paper it is shown that 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" that have little to do with children's development of intelligence. A…