This study examines the origins of geometry in and out of the intuitively given everyday lifeworlds of children in a second-grade mathematics class. These lifeworlds, though pre-geometric, are not without model objects that denote and come to anchor geometric idealities that they will understand at later points in their lives. Roth's analyses…

Advocates artificial neural networks as models for cognition and development. Provides an example of how such models work in the context of a well-known Piagetian developmental task and school science activity: balance beam problems. (Contains 59 references.) (Author/WRM)

Examines the relationships between the development of proportional reasoning strategies and three cognitive variables from Pascual-Leone's and Case's neo-Piagetian theories: (1) degree of field independence; (2) M-space; and (3) short-term storage space. Describes the ability of students to transfer problem-solving schemata to new contexts as well…

Examined is the predictive value of the cognitive variables of developmental level, mental capacity, cognitive style, short-term storage space, and numerical inductive reasoning for student achievement in college science. Included is a strategy for the development of materials which would allow students to develop problem-solving skills. (KR)