Research of Instruction Structure Analysis System Applying Fuzzy Theory

运用模糊理论而不是清晰的逻辑，可以有效地分析心理过程和认知等不精确现象。在这个研究项目中，我们将使用模糊聚类和排序来分析主题的指令和认知结构。本文提出了基于考试成绩的模糊教学结构分析方法，并通过数学实例说明了该分析方法的有效性。我们还在国际数学教育大会、国际近似推理杂志和其他一些会议上展示了我们最新的研究成果。研究人员正在开发用于指令分析的辅助系统m-CARAT。

The inexact phenomena such as the mental process and the cognition could effectively analyzed applying the fuzzy theory rather than the crisp logic.In this research project, we would analyze the instruction and cognition structure of a subject matter by applying fuzzy clusterings and orderings.We have developed the analysis method of the fuzzy instruction structure based on the test performance scores, and illustrated its effectiveness of the analysis with case studies in mathematics.We also presented our updating research results to the Int'l Congress of Mathematics Education, Int'l Journal of Approximate Reasoning, and several other conferences.The supproting system m-CARAT for the instruction analysis is developping by the investigators.