Students often struggle with concepts from abstract algebra. Typical classes incorporate few ways to make the concepts concrete. Using a set of woven paper artifacts, this paper proposes a way to visualize and explore concepts (symmetries, groups, permutations, subgroups, etc.). The set of artifacts used to illustrate these concepts is derived…

Describes methods for item construction for computer-based instruction (CBI). Use of a rational set generator (RSG) in presenting an adaptive sequence of items to the learner is described; a model matrix of a computer-based RSG is presented; concrete and defined concepts are discussed; and rule using is explained. (Four references) (LRW)

This paper describes the methods and techniques called Conceptual Analysis (CA), a rigorous procedure to generate (without involuntary omissions and repetitions) knowledge bases for the development of knowledge-based systems. An introduction is given of CA and how it can be used to produce knowledge bases. A discussion is presented on what is…

This paper describes Topdown Conceptual Analysis (TCA) and how it can be used to produce the knowledge base for the development of courseware. Some of the prerequisites and basic theories behind TCA are explained. In discussing what is meant by learning and teaching a concept, an explanation is given of how a complex concept can be taught in terms…

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…

Recommends organizing U.S. history courses around central ideas rather than chronological periods. Argues that this method affords a better grasp of the principal developments in the nation's history by treating issues in depth. Lists eight broad themes around which a U.S. history course can be constructed. (MJP)