知识空间理论综述

doi:10.16451/j.cnki.issn1003-6059.202402002

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摘要

知识空间理论是一种研究教育规律的科学方法,已取得一系列研究成果.文中旨在全面综述知识空间理论的研究工作.首先,阐述构建知识结构的方法和原则,介绍良级性的研究内容,并强调其在知识空间理论研究中的重要性,归纳总结推测关系的相关工作,并介绍问题之间、项目之间推测关系的研究方法.然后,分别从技能映射、技能函数、能力-绩效方法三方面梳理基于能力的知识空间理论的研究进展.进一步地,概述知识空间理论与概率模型、粒计算等结合的研究现状,并介绍知识空间理论在辅助学习与自适应测试方面的应用.最后,探讨上述研究中存在的关键科学问题,并提出初步的研究思路,为该领域的后续研究提供有益的参考.

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	李金海
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关键词 ：知识空间理论, 知识结构, 技能映射, 良级性, 推测关系, 形式概念分析

Abstract：

Knowledge space theory is a scientific method for studying educational principles, and it yields a series of research findings. This paper is intended to comprehensively review the research efforts on knowledge space theory. Firstly, the methods and principles of constructing knowledge structures are elaborated, the research contents related to the wellgradedness are introduced, and their importance to the study of knowledge space theory is underscored. The related work of surmise relation is summarized, as well as the research methods between problems and between items. Then, research progress of competence-based knowledge space theory is delineated from three aspects: skill maps, skill functions and competence-performance approaches. Furthermore, the researches combinating knowledge space theory with probability models and granular computing are outlined, including the application of knowledge space theory in assisted learning and adaptive testing. Finally, the key scientific issues are explored in the above research fields and some preliminary research ideas are provided, providing beneficial references for subsequent studies in this field.

Key words： Knowledge Space Theory Knowledge Structure Skill Map Wellgradedness Surmise Relation Formal Concept Analysis

收稿日期: 2024-01-29

ZTFLH:

TP182

基金资助:

国家自然科学基金项目(No.11971211,12171388)资助

通讯作者: 李金海,博士,教授,主要研究方向为认知计算、粒计算、大数据分析、概念格、粗糙集.E-mail:jhlixjtu@163.com.

作者简介: 张瑞,硕士研究生,主要研究方向为形式概念分析、粒计算、知识空间理论.E-mail:zhangrui032@163.com. 智慧来,博士,教授,主要研究方向为形式概念分析、粗糙集、粒计算.E-mail:zhihuilai@126.com. 孙文,博士,讲师,主要研究方向为知识空间理论、认知诊断理论、模糊集理论.E-mail:wsun0907@126.com.

引用本文:

李金海, 张瑞, 智慧来, 孙文. 知识空间理论综述[J]. 模式识别与人工智能, 2024, 37(2): 106-127. LI Jinhai, ZHANG Rui, ZHI Huilai, SUN Wen. A Review of Knowledge Space Theory. Pattern Recognition and Artificial Intelligence, 2024, 37(2): 106-127.

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