The remarkable successes of the physical sciences have been built on highly general quantitative laws, which serve as the basis for understanding an enormous variety of specific physical systems. How far is it possible to construct universal principles in the cognitive sciences, in terms of which specific aspects of perception, memory, or decision…

Looked for evidence of an intermediate stage between the second and third stages in multiple seriation during which subjects seriate the material on one dimension and classify it on the other. Fine grained analysis of stages is considered useful in elucidating the mechanisms of progression through a stage sequence. (GO)

Categorization researchers typically present single objects to be categorized. But real-world categorization often involves object recognition within complex scenes. It is unknown how the processes of categorization stand up to visual complexity or why they fail facing it. The authors filled this research gap by blending the categorization and…

A significant positive correlation between multiple classification was found, in testing 65 children aged 6 to 8 years, at the stage of concrete operations. This is interpreted as support for the existence of a structure d'ensemble of operational schemes in the period of concrete operations. (Authors)

This study attempted to determine whether a combination of seriation and classification training would produce more general intellectual gains. (Author/SB)

Two experiments which investigated the young child's ability to deal with multiplicative classes and relations (considered behavioral indices of concrete operations thought) in double series and cross class matrices are described and discussed. In the initial study, 160 children from preschool through grade 2 received six matrix subtasks…

Performance data for 42 subjects pertaining to seven course objectives and ten propositional logic tasks were analyzed for hierarchical relationships using ordering theoretic technique. The resulting hierarchy indicated that simple implication and particular contraposition propositional logic tasks were prerequisite to some course objectives. This…

This article discusses the challenge mathematics educators face in deciding what and how mathematics is to be taught, and offers some suggestions for teachers of young children based on Piaget's developmental theory of mathematics. Piaget's cognitive stages are briefly described and the concrete stage, which spans the age range included in early…