The behavior of one child as she constructed knowledge about fractions over a nine-month period is presented. The intent is to explain behavioral patterns for which certain mental processes, called schemes, seem responsible. (MNS)

An experiment is described which started with exploratory interviews, evolved to design and administration of diagnostic tests, and led to the preparation and use of calculator-enriched teaching materials. (MP)

Reports a study to investigate the extent to which research experience of designing and conducting their own study could enhance five preservice teachers' understanding of children's knowledge of the mathematical concept of fractions. Results indicated that research experience is fruitful in developing an inquisitive disposition in preservice…