The fraction concept was analyzed to yield 16 subconcepts which are hypothesized to be hierarchically ordered. This ordering was tested using subjects in grades 4 through 6, and 18 of 23 dependencies hypothesized were confirmed. (SD)

First- and third-grade children were tested under six different instruction conditions which varied in how explicitly they cued a rehearsal strategy in a self-paced sequential-memory task. The type of strategy adopted was monitored with study time and overt verbalization measures. (JMB)

A hierarchy for learning to solve different types of addition with fractions problems was hypothesized on the basis of both content analysis and psychological considerations. Problem types were defined according to the relationship of the two denominators to each other (e.g., equal, prime, etc.) Students in grades 4 through 8 were each given 45…