Thirty-six kindergartners were asked to respond to questions and construct figures designed to test their knowledge of hierarchical relations. Subjects had considerable knowledge of subset and superset classification, and could draw transitive inferences with little difficulty; however, they appeared to have little appreciation of the asymmetry…

Described are a discrete group of isometries that fix a line but do not stabilize a point. Each type is accompanied by an example of their representation in concrete form which served as material on which young children could operate. Pupil responses to each situation are provided. (CW)

Seriation refers to the process of ordering objects along single or multiple magnitude dimensions such as length, weight, and color. The ability to order objects in terms of some attribute is essential for the child's understanding of the properties of numbers. This study investigated the effect on seriation performance of increasing both the…