Some diverse fields in which the effects of mental representations have been noticed are first discussed, largely through illustrations of differing problem-solving experiences. Then the LAKOS Project (Logical Analysis of Cognitive Organizational Structures) at the University of Osnabruck is described. A central concern is the specification of a…

Recent research on solving addition and subtraction word problems has resulted in the construction of theoretical models of children's problem-solving processes. Some of these models have been translated into computer programs. Characteristics and predictions of the theoretical analysis developed by Riley, Greeno, and Heller (1983) are discussed…

This report describes the first of three stages in a study in the domain of problem solving: the definition and explication of schema knowledge. One objective of this research is to understand how schema knowledge is acquired and used in the chosen domain. The focus is on ways in which instruction influences the development of specific knowledge…

This issue of the journal contains abstracts and critical comments for 13 published reports of research in mathematics education. Topics include: (1) effects of mathematics anxiety on preservice elementary teachers; (2) visualizing rectangular solids; (3) computer simulations and abstract thinking; (4) the association of foldout shapes with…

Discusses the importance of the use of models in modern science. Suggests that models can make a significant contribution to the teaching of science and mathematics. Explains that representative models, analogue models, logical models, and theoretical models are most commonly used models in science and mathematics. (TW)