Procedural knowledge in mathematics: the role of the curriculum

Over the last few years, the information processing model of cognition has become increasingly prominent in the field. With this model, and other related research in cognitive science, there is a greater appreciation for the role of instruction in learning theory. One of the model's central tenets is that, as learners become more competent, they move from declarative to procedural states of knowledge. Researchers have concerned themselves with the efficiency of this transition, as well as with any systematic misconceptions that develop along the way. A carefully developed curriculum addresses both of these concerns. This article will focus on three principles of curriculum development: the nature of examples, explicitness, and parsimony. Recently conducted research that supports these principles will also be discussed. It is suggested that special educators strongly consider these principles when selecting or developing curricular material for students with learning disabilities.