Although it is commonly assumed that increases in mathematical knowledge and problem-solving skill alter one's understanding of mathematical problems, little research exists to support this assumption. The present study investigated the relationship between mathematical background and problem perception in two experiments. Experiment 1 employed…

Experts' perceptions of mathematical problem structures were compared with students' perceptions before and after a course on mathematical problem solving. After the course the students perceived problem relatedness more like the experts, indicating that criteria for problem perception shift as a person's knowledge bases become more richly…

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…