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논문검색

Personalized Educational Process Models with Spacing Effect

초록

영어

Teaching new material and reviewing what has already been taught are two important activities in the educational process. Different students with different learning abilities need to review at different rates, that is to say, a personalized teaching process is necessary. Review has a spacing effect, namely it is most useful only if it is executed neither too soon nor too late. How should designers of educational software schedule the learning process to satisfy the need that different students learn different material? We present a mathematical model to capture the issue in idealized form. The learning abilities of students and the spacing effect of review are modeled as some input parameters’ constraints on the schedule. Our results include the optimal scheduling in accordance with which tutoring systems teach one student specific material, characteristics of the rate at which new material can be introduced under different conditions, and the reproduction of ladder-like educational process.

목차

Abstract
 1. Introduction
 2. Models
  2.1 The Educational Process
  2.2 Learning Ability and Review Spacing
  2.3 Educational Goals
 3. Optimal Scheduling
 4. Results and Discussion
  4.1 Overview of Results
  4.2 Flexible Students and Slow Students
  4.3 Memory Learning Material and Understanding Learning Material
  4.4 Cramming
 5. Conclusion
 References

저자정보

  • Mingwen Wang School of Mathematics, Southwest Jiaotong University, Chengdu, China
  • Yulin Wang School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu, China

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