A Study of Diagnostic and Remedial Techniques Used by Master Algebra Teachers

Abstract

This research note raises the issues of what makes for effective diagnosis and remediation of linear algebra equations, and how this affects the development of intelligent tutoring systems. The note reports three studies. In the first, four experienced teachers were given a series of incorrectly worked algebra tasks and asked to provide diagnosis and remediation (n.b. the students were not present). The second study was a series of interviews with three Irish math teachers discussing their approaches to algebra diagnosis and remediation. The third study observed a teacher remediating eight students on the basis of diagnoses provided by the PIXIE (ITS) program. This teacher probed for causes beneath the surface errors made by the student. The major conclusions of the three studies were that teachers generally taught algebra procedurally rather than conceptually, and that teachers thought it important to determine the causes behind errors. Keywords: Intelligent tutoring system, Artificial intelligence, Expert systems, PIXIE.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1988
Accession Number
ADA199021

Entities

People

  • Anthony E. Kelly
  • D. Sleeman

Organizations

  • Stanford University

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Algebra
  • Artificial Intelligence
  • Case Studies
  • Classification
  • Cognition
  • Cognitive Science
  • Education
  • Equations
  • Instructors
  • Mathematics
  • Natural Languages
  • Psychology
  • Questionnaires
  • Schools
  • Security
  • Social Sciences
  • Students

Fields of Study

  • Education

Readers

  • STEM Education
  • Systems Analysis and Design

Technology Areas

  • AI & ML