Children's understanding of Euclidian space was investigated using three Piaget-type tasks to examine the ability of children to quantitatively locate a point in one, two, and three dimensions. Among the findings were that a disagreement exists between Piaget's data and the results of this study. (BT)

Seventh-grade students enrolled in two average classes were pretested, randomly assigned to two training groups--an active group in which physical materials were employed and a verbal group in which standard textbook procedures were employed--immediately posttested and posttested one month later. The active group showed greater achievement and…