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Falmagne, Jean-Claude; And Others – Psychological Review, 1990
This article gives a comprehensive description of a theory for efficient assessment of knowledge. The essential concept is that the knowledge state of a subject, with regard to a specified field of information, can be represented by a particular subset of problems that the subject is capable of solving. (SLD)
Descriptors: Algorithms, Educational Assessment, Equations (Mathematics), Evaluation Methods

Fleener, M. Jayne; And Others – 1993
Higher order cognitive development and success in the study of high school mathematics and science require an understanding of rational number concepts and facility with proportional reasoning and computation. Proportional reasoning is an essential schema for developing formal operational thought. This study involving 16 ninth-grade students was…
Descriptors: Abstract Reasoning, Algorithms, Cognitive Development, Formal Operations