Investigates children's cognitive structures with respect to concepts one-half, one-quarter, and one-third as these apply to continuous circular and triangular regions. Examines the effect of an intervention program with 21 children in grades three through six. (YP)

Low ability sixth graders (n=19) participated in a teaching experiment involving fraction concepts. Results showed students were able to acquire and use semantic processes and transfer these processes to novel tasks. Semantic processing was positively associated with performance. (MKR)

Concepts of fractions from an adult perspective as well as from a child's perspective are examined. Types of students' schemes for some terms related to fractions are reported. (YP)

The focus of this article is on the verification processes children use when assessing the equality of parts produced by them when partitioning geometric shapes. Different processes and children's verbal proofs of equality are presented. Activities for mathematics instruction are suggested. (YP)