The use of mathematics performance tasks can provide a window into how a student is applying mathematics to various situations, how they are reasoning mathematically and how they are applying conceptual knowledge through problem solving and critical thinking. The purpose of this study was to investigate, according to the elementary mathematics…

Methodological issues in the use of protocol analysis for research into human problem solving processes are examined through a case study in which two students were videotaped as they worked together to solve mathematical problems "out loud." The students' chosen strategic or executive behavior in examining and solving a problem was…

The dimensions of the broad social-cognitive and metacognitive matrix within which pure cognitions reside are examined. Tangible cognitive actions are the cross products of beliefs held about a task, the social environment within which the task takes place, and the problem solvers' perceptions of self and their relation to the task and…