D. R. Proffitt and colleagues (e. g., D. R. Proffitt, J. Stefanucci, T. Banton, & W. Epstein, 2003) have suggested that objects appear farther away if more effort is required to act upon them (e.g., by having to throw a ball). The authors attempted to replicate several findings supporting this view but found no effort-related effects in a variety…

The authors explore how children's play can support the development of the foundations of mathematics learning and how adults can support children's representation of--and thus the "mathematization" of--their play. The authors review research about the amount and nature of mathematics found in the free play of children. They briefly…

Tested the hypothesis that some attempts to reduce the performance demands of concrete Piagetian operational tasks may have allowed children to solve those tasks with preoperational functions. Administered two previously used versions of the transitivity task for length and weight to 120 children six- to nine-years-old. The second version was…

Investigated preschoolers' understanding of two distance principles: the direct-indirect and the same-plus principle. Children did better on tasks relevant to the principles than on principle-irrelevant tasks. Concluded that even young children conceive of distance as fixed intervals. (SKC)

The purpose of this study was to attempt to train the horizontality concept in a group of first graders who were non-operational on the horizontality concept but transitional on what Piaget has termed the precursor concepts of distance and length conservation. There were two groups of subjects (training and control), all of whom had failed a…