In this article, we provide a novel view of mathematics learning disability (MLD) by studying a student with an MLD (Dylan) who had compensated so effectively that she was able to major in statistics. We push back on the dominant deficit model used in studies of MLD, and consider issues of access and compensation from a Vygotskian theoretical…

Presents ongoing research for constructing formal models of learning in rich problem-solving domains. The underlying framework for the research is aimed at integrating models of active, goal-oriented learning processes with theories of problem-solving and cognitive skill development. Indicates that the particular self-explanation and…

Two experiments involved an intelligent tutoring system for the Carnegie Mellon University Lisp Tutor using production system theories of transfer and analogical problem solving. Results suggested that acquisition of cognitive skills is facilitated by high degrees of metacognition, which includes higher level monitoring of states of knowledge,…

Two experiments examined children's early judgments about numerical relations. Found that children as young as three years old are already adept at reasoning about relations between sets, independently of their ability to form numerical representations. Results support the existence of protoquantitative schemas, or ways of thinking about relations…

Focuses on a single case study of a mentally handicapped child to examine directly the relation between the development of number-after rules and a counting-on from the larger addend (COL) strategy. Examines the development of children's proficiency with n+ and 1+n combinations and the evolution of their counting-on strategies over time. (AA)