A probablistic approach to classification and diagnosis of erroneous rules of operations that result from misconceptions ("bugs") in a procedural domain of arithmetic is introcuced. Variability of response errors is explicitly treated through item response theory. As a concrete example, a signed-number subtraction dataset is analyzed.…

This paper, presented at the 1979 meeting of the American Educational Research Association (AERA), investigates student errors in high school mathematics. A conceptual framework of hypothetical information-handling processes such as procedures, frames, retrieval from memory, visually-moderated sequences (VMS sequences), the integrated sequence,…

This paper reports on the development of an error-coding instrument and a computerized continuous feedback system for the diagnostic evaluation and remedial treatment of unstructured second-language performances and the use of such a system in an instructional setting. The system does the following: it allows quick, objective, accurate, and…

Inappropriate assessment procedures result in the misdiagnosis, misidentification, and misplacement of many African American students in special education. This article discusses poor teacher judgment, lack of cultural awareness among teachers, cultural discontinuity between home and school, and bias inherent in current tests used in special…

Diagnoses of students' performance on procedural mathematical tasks need to display a certain level of stability and robustness if they are to be used as the basis for remediation, particularly with computer-delivered instruction. The purpose of this study was to compare two diagnostic approaches for describing students' (n=231) errors in algebra…

The time constraints facing most Navy instructors often preclude their providing feedback concerning poor performance of trainees in various military training programs that takes into account such psychological considerations as contiguity, repetition, reinforcement, or consideration of a learner's internal conditions of learning. The Instructor's…