ERIC Number: ED243969
Record Type: RIE
Publication Date: 1983-May
A Probabilistic Model for Diagnosing Misconceptions by a Pattern Classification Approach.
Tatsuoka, Kikumi K.
A probabilistic approach is introduced to classify and diagnose erroneous rules of operation resulting from a variety of misconceptions ("bugs") in a procedural domain of arithmetic. The model is contrasted with the deterministic approach which has commonly been used in the field of artificial intelligence, and the advantage of treating the variability of errors in response is shown. Item response theory (IRT) is a useful model in integrating the theory of cognitive processes with educational practice. Erroneous rules of operation in signed-number subtraction problems can be represented as points in a geometric space by utilizing IRT (rule space). This approach seems promising in assessing the state of knowledge as reflected by erroneous rules and in utilizing the information obtained from behaviors of "bugs." (Author/PN)
Descriptors: Classification, Cognitive Processes, Educational Diagnosis, Error Patterns, Latent Trait Theory, Mathematical Models, Probability, Scoring, Subtraction
Kikumi K. Tatsuoka, 252 ERL, 103 S. Mathews St., University of Illinois, Urbana, IL 61801.
Publication Type: Reports - Research
Education Level: N/A
Sponsor: Office of Naval Research, Arlington, VA. Personnel and Training Research Programs Office.
Authoring Institution: Illinois Univ., Urbana. Computer-Based Education Research Lab.