The set of goals and plans that a writer might select to accomplish a given piece of writing is guided by the writer's conception of knowledge. In terms of cognitive theory, conceptions of knowledge may be viewed as epistemological schemata--structured clusters of knowledge about the nature of knowledge itself. William Perry's scheme of the…

Compared are the van Hiele levels of geometric thinking and the geometry curriculum recommended by the National Council of Teachers of Mathematics Curriculum and Evaluation Standards for School Mathematics. Activities which illustrate the various levels are provided by grade level with procedures. (CW)

Reviews the logic underlying mathematical induction and presents 10 tasks designed to help students develop a conceptual framework for mathematical induction. (Contains 20 references.) (MDH)

Discusses the advantages of using discrepant events in elementary school science classrooms in terms of motivation and problem solving skills. Describes the materials, procedures, and reasons behind five discrepant activities. (YP)

The relationship between mental models used in problem solving and strategies children use when problem solving with manipulative materials are discussed. Teaching strategies for bridging the gap between the two are suggested. (CW)

Teaching creative thinking can be accomplished by activities in which the teacher asks questions of the students which require divergent thinking. The activities in this article do not require equipment, supplies or manipulatives. They consist of questions, possible student answers, and suggestions for follow-up. (CW)

Proposes using a hypermedia authoring program as a method for helping students make connections between definitions, representations, and applications of mathematical concepts. Provides an example involving fractions and discusses the advantages of using hypermedia. (eight references and four resources) (MDH)

Noting that the study of intrapersonal communication (inner speech) is increasingly recognized as an integral part of communication education, this paper argues that introspective writing, such as memoirs and personal journals, can be studied in communication classes for the confirmation they offer of theoretical descriptions of internal…

Reports misconceptions identified in students with respect to the topic of parallel lines and the teaching strategies found to be useful in challenging those misconceptions. (11 references) (MDH)

This handbook has been structured to provide teachers (K-2) with the most recent research on problem solving. It contains information and practical applications which deal with the key concepts of problem solving in mathematics. The handbook consists of four sections. The first section establishes the background and gives the purposes of the…