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《山东大学学报(理学版)》 ›› 2023, Vol. 58 ›› Issue (7): 97-105, 114.doi: 10.6040/j.issn.1671-9352.0.2022.156

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程序性知识评估: 从问题空间到可辨识知识结构

曹喜燕1(),林福财1,2,*(),金铭1,李进金1,2   

  1. 1. 闽南师范大学数学与统计学院, 福建 漳州 363000
    2. 闽南师范大学福建省粒计算及其应用重点实验室, 福建 漳州 363000
  • 收稿日期:2022-03-16 出版日期:2023-07-20 发布日期:2023-07-05
  • 通讯作者: 林福财 E-mail:1282546112@qq.com;linfucai@mnnu.edu.cn
  • 作者简介:曹喜燕(1997—)，女，硕士研究生，研究方向为知识空间理论. E-mail: 1282546112@qq.com
  • 基金资助:
    福建省自然科学基金重点资助项目(2020J02043)

Assessment of procedural knowledge: from problem spaces to discriminative knowledge structures

Xiyan CAO1(),Fucai LIN1,2,*(),Ming JIN1,Jinjin LI1,2   

  1. 1. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, Fujian, China
    2. Fujian Key Laboratory of Granular Computing and Application, Minnan Normal University, Zhangzhou 363000, Fujian, China
  • Received:2022-03-16 Online:2023-07-20 Published:2023-07-05
  • Contact: Fucai LIN E-mail:1282546112@qq.com;linfucai@mnnu.edu.cn

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摘要：

为了在知识评估中减少重复测试同等信息的问题和计算出相对独立的问题, 基于程序性知识的评估, 给出从问题空间通过技能映射分别推导可辨识知识结构和双可辨识知识结构的理论条件, 以及构建和判断由问题空间分别导出可辨识知识结构和双可辨识知识结构的有效算法。

关键词: 问题空间, 技能映射, 可辨识知识结构, 双可辨识知识结构

Abstract:

In order to reduce repeated testing and evaluate 'relative independence' items on assessment of knowledge, the paper proposes the approach based on the assessment of procedural knowledge that the problem space approach derives the discriminative (bi-discriminative) knowledge structure via skill map. Some theoretical conditions and an algorithm for deriving a discriminative (bi-discriminative) from a problem space are illustrated.

Key words: problem space, skill map, discriminative knowledge structure, bi-discriminative knowledge structure

中图分类号: 

  • TP182

图1

问题空间(S0, Ω0, ·)"

图2

问题空间(S1, Ω1, ·)"

图3

问题空间(S2, Ω2, ·)"

表1

问题空间(S2, Ω2, ·)对应的技能映射(Q2, Π2, τ)"

问题 解路径 问题 解路径
(a, b) aw1 (a, d) aw1w2w3, aw3w2
(b, c) bw2 (a, e) aw3
(c, d) cw3 (e, d) ew2
(a, c) aw1w2 (a, f) aw3
(b, d) bw2w3
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