Draws from perceptual and cognitive psychology to present a theoretical basis for the principles of interpretation developed by Freeman Tilden. Emphasized is cognitive map theory which holds that information units people receive, code and store are structured into cognitive models intended to represent the environment. (Author/WB)

Since the mid-1960s a new approach has dominated American research in the area of mathematics education -- information-processing theory. The author examines several examples of research in this new tradition and sketches the general features of an emerging information-processing psychology of teaching. Information-processing studies that employ…

The term, "schema," used largely as a descriptive convenience rather than a theoretical guidepost in social psychology is examined through an analysis of its development, function, and structure. This paper articulates a model of schema development in adults by defining a schema as a representation of some stimulus domain and a set of…

The purpose of this paper is to identify how the theory and techniques of research in cognitive development can be applied to the study of learning and instruction in mathematics. Five basic research paradigms are characterized; major directions of research on number, measurement, geometry, and adolescent reasoning are identified. Most of the…