Example-based learning is a well-known instructional method for effective cognitive skill acquisition in complex domains. "(Contrasting) erroneous examples" are a promising extension that embed errors in instructional material, potentially fostering not only positive but negative knowledge. However, the mechanisms and conditions for…

Presents a conceptual framework and notation for learner modelling in intelligent tutoring systems based on the computational distinction between behavior, behavioral knowledge, and conceptual knowledge and between the system, the learner, and the system's representation of the learner. Approaches to learner modelling based on a review of the…

Discusses recent advances in cognitive theory and the design of computer-based instruction and suggests implications for the design of authoring tools and tutoring system shells. Highlights include the design of courseware; advanced organizers; knowledge representation; design evaluation; models of knowledge; models of errors; and models of…

Answers to theoretical questions about the place of input in a formal second language acquisition model are dependent on a distinction between two kinds of learner hypotheses. Type-N hypotheses require "negative evidence" for testing, while Type-P hypotheses are tested on the basis of "positive data" alone. (Author/CB)

Summarizes information processing models of the mind based on a literature review; describes a prototypical model of college learning; examines links between mental models and cognitive errors; reviews cognitive science students; and identifies six factors contributing to cognitive error production. (104 references) (Author/MBR)

Examines the deductive approach to error diagnosis for intelligent tutoring systems. Topics covered include the principles of the deductive approach to diagnosis; domain-specific heuristics to solve the problem of generalizing error patterns; and deductive diagnosis and the hypertext-based learning environment. (Contains 26 references.) (JLB)

Presents a stochastic model for distinguishing mental arithmetic errors according to causes of failure. A series of experiments (1) studied questions of goodness of fit and model validity among four and five year olds and (2) used the model to measure the relative contributions of developmental improvements in short-term memory and arithmetical…

This literature review explores the phenomenon of dysmathematics and problems in its definition. Dysmathematics is suggested as a modern term for low achievement in mathematics. This document addresses: (1) concomitant variables associated with dysmathematics; (2) mathematical characteristics of dysmathematicians; (3) diagnosis and prescription…