Toward an Integration of Item-Response Theory and Cognitive Error Diagnosis.

Abstract

In this study, a new methodology that is capable of diagnosing cognitive errors and analyzing different methods for solving problems will be introduced, illustrated with fraction subtraction problems. The new approach called Rule space integrates Item Response Theory (IRT) and the algebraic theory of databases (Lee, 1983). The rule space model is general enough to apply to any domain of interest, where classifications and selections of students, diagnoses of misconceptions are done by Bayes' decision rules for minimum errors (Fukunagawa, 1972) or any other equivalent decision rules with respect to a set of systematic errors determined prior to analyses. The first section discusses important objectives which the construction of cognitive diagnostic tests must follow. Then the introduction of the rule space model starts with its brief concept, connection to a distribution theory, construction of a bug library and the rule space, and finally introduction of the operational classification scheme.

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Document Details

Document Type
Technical Report
Publication Date
Jul 15, 1987
Accession Number
ADA183189

Entities

People

  • Kikumi K. Tatsuoka

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • C4I
  • Human Systems
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Behavior And Behavior Mechanisms
  • Cognition
  • Computer Programs
  • Data Science
  • Databases
  • Education
  • Educational Psychology
  • Error Analysis
  • Functional Analysis
  • Information Processing
  • Information Science
  • Probabilistic Models
  • Probability
  • Psychology
  • Regression Analysis
  • Students
  • Task Performance And Analysis

Readers

  • Artificial Intelligence
  • Psychometric Testing or Psychological Assessment.
  • Theoretical Analysis.

Technology Areas

  • Space