This is the first of a two-part article that presents a theory of unit construction and coordination that underlies radical constructivist empirical studies of student learning ranging from young students' counting strategies to high school students' algebraic reasoning. My explanation starts with the formation of arithmetical units, which presage…

This paper presents a cognitive theoretical framework for the learning of mathematics which has generic implications for other disciplines. The framework has been developed using a combination of established theories about learning and the authors' research into the understanding of some specific types of learning. It is based on the integration…

The question of whether skills in achieving understanding and retention of information at high levels of abstraction can be taught is addressed by analyzing some of the mental processes involved, and briefly reviewing a number of attempts that have been made to induce these processes. (Author)

An inquiry attempted to build an agenda for research that would result in a cognitive theory of instruction capable of informing educational practice and extending the limits of knowledge about how people learn and develop. What would such a theory look like, how close are we to having one, and what directions must be followed to further its…

Transfer of learning is one of the major purposes of education. Theories and research have tried hard to answer questions such as: how does transfer occur? and how is transfer enhanced? Situated cognitive theory and research about anchored instruction together bring some positive findings. Anchored instruction provides the learner with a situated,…

This monograph sets forth a theoretical basis for advocating a program of disciplinary arts education as an integral part of general education from kindergarten through grade 12. The title, "The Role of Imagery in Learning," indicates the centrality of aesthetic perception of images. To make the case, it is necessary to show by analysis,…

Defines a generalization as "a descriptive statement of broad application indicating a relationship between two or more concepts." Argues that successful teaching about generalizations can only occur when students understand the relationship between concepts and facts. Discusses four issues and four approaches related to teaching…