공식원리에 기반한 대화식 문제해결 학습을 지원하는 수학교수 모형

A Mathematics Tutoring Model That Supports Interactive Learning of Problem Solving Based on Domain Principles

  • 국형준 (세종대학교 컴퓨터공학과)
  • 발행 : 2001.10.01

초록

학습효과와 실용성이 모두 높은 교수 체계의 개발 필요성에 부응하여, 본 연구는 수학 영역의 문제해결 학습을 위한 지능형 교수기 개발을 목표하였다. 본 연구에 의해서 구축된 CyberTutor는 수학 영역 문제 해결 학습의 각 단계에서 학습자의 추론 수준과 요구에 부응하여 상호 작용한는 학습환경을 제공하는 것을 가장 큰 특징으로 하고 있다. 이러한 대화식 학습을 주도하는 교수 정보는 물리, 수학과 같이 공식 원리의 이해와 응용을 학습의 주 내용으로 하는 영역에 공통적으로 사용되는 교수 전략이라 할수 있는 학습자 가설 평가, 힌트 제공, 설명 제시 등의 전략 정보로 이루어진다. 본 교수 체계의 적정성과 실행 내용을 기하영역의 문제 해결 학습 예를 통해 제시한다. 제안 교수 체계는 기존 시스템에 비해 다음과 같은 점에서 진전된 교수 체계의 모형을 제시한다. 첫째, 증명 외에 해결 유형의 문제해결 학습도 지원하므로 실용성이 높다. 둘째, 다양한 수준의 학습자에 대한 적용을 추구함으로써 학습자 위주의 개인 교수식 환경을 지향한다. 마지막으로 미리 지장된 것이 아닌, 실시간 문제해결 추론에 기반한 교수 대화는 학습 효과를 극대화 한다.

To achieve a computer tutor framework with high learning effects as well as practicality, the goal of this research has been set to developing an intelligent tutor for problem-solving in mathematics domain. The maine feature of the CyberTutor, a computer tutor developed in this research, is the facilitation of a learning environment interacting in accordance with the learners differing inferential capabilities and needs. The pedagogical information, the driving force of such an interactive learning, comprises of tutoring strategies used commonly in various domains such as phvsics and mathematics, in which the main contents of learning is the comprehension and the application of principles. These tutoring strategies are those of testing learners hypotheses test, providing hints, and generating explanations. We illustrate the feasibility and the behavior of our propose framework with a sample problem-solving learning in geometry. The proposed tutorial framework is an advancement from previous works in several aspects. Firstly, it is more practical since it supports handing of a wide range of problem types, including not only proof types but also finding-unkown tpes. Secondly, it is aimed at facilitating a personal tutor environment by adapting to learners of varying capabilities. Finally, learning effects are maximized by its tutorial dialogues which are derived from real-time problem-solving inference instead of from built-in procedures.

키워드

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