This work provides a characterization of the learning of graph theory through the lens of the van Hiele model. For this purpose, we perform a theoretical analysis structured through the processes of reasoning that students activate when solving graph theory problems: recognition, use and formulation of definitions, classification, and proof. We…

Presents a revised working definition of schema, lists four types of knowledge that individuals have (i.e., identification, elaboration, planning, and execution), and outlines issues in schema theory. The usefulness of schema in problem solving and information problem solving is discussed, and implications for teachers of information literacy are…

Examines some of the assumptions associated with attempts to define the "engineering method." Critiques a previously stated definition of this method, and offers an alternative definition that attempts to include the ideas put forth in the previous definition. Discusses the use of engineering heuristics in both definitions. (TW)

Inservice teachers (n=180) participating in seven mathematical problem-solving workshops were asked to define problem solving. An item analysis of the written responses indicated that 67% of the responses were conceptually or terminologically vague. Precise definitions fell into three categories: strategy-based (12%), skills-based (9%), and…