Described in the context of a computer simulation are highlights of a program of research focusing on the storage of mathematics problem solving information in young children's memory and the development of such knowledge structures in older children. Specifically discussed are the problem size effect, the network nature of the memory…

The relation of knowledge for solving problems to understanding of general principles in a subject-matter domain is discussed. Theoretical representations, called "conceptual competence," are presented to represent principles that are believed to be understood implicitly by individuals. Implications for problem-solving procedures can be…

The study with 989 learning-disabled students supported the cognitive-based arithmetic problem-solving model of Dinnel et al. under continuous visual stimulus conditions but suggested a more complex neuropsychological underpinning to arithmetic performance in both visual and aural stimulus conditions. (Author/DB)

Seventh-grade students were tested to uncover arithmetic errors. Answers and intermediate steps were analyzed and models to represent students' behavior were developed. Certain errors were common across students. Others were tied to the format of the test item. Some superficial understandings of mathematical concepts were exposed. (Author/DC)

An investigation of how secondary students coped when taught binary arithmetic through a computer assisted instruction program used four treatment groups: learner control, learner control with advice; random program control, and adaptive program control. The random group performed less well, but no differences were found between learner and…

Presents five simulation models reflecting sequential levels of children's simple arithmetic story problem solving skills. Outputs of the models are compared with data obtained by presenting 60 five- to eight-year-olds with change problems to examine models' deterministic nature. Results indicate the models give an adequate description of behavior…

Proposes a theory of cognitive processes in doing and learning place value arithmetic. Discusses a computer model that simulates the learning of multicolumn subtraction under one-on-one tutoring to measure the relative difficulty of two methods of subtraction. The model predicts that regrouping is more difficult to learn than an alternative…

This paper gives a description of a videotape used with inservice teachers as a model for demonstrating the clinical interviewing technique. It describes what is seen on the tape, as well as the child's and interviewer's comments and reactions. It also describes the plan and purpose of the interviewer's questions and outlines the process that…