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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
1 DOIGNON J P , FALMAGNE J C . Spaces for the assessment of knowledge[J]. International Journal of Manmachine Studies, 1985, 23 (2): 175- 196.
doi: 10.1016/S0020-7373(85)80031-6
2 HELLER J , STEINER C , HOCKEMEYER C , et al. Competence-based knowledge structures for personalised learning[J]. International Journal on E-Learning, 2006, 5 (1): 75- 88.
3 KAMBOURI M , KOPPEN M , VILLANO M , et al. Knowledge assessment: tapping human expertise by the query routine[J]. International Journal of Human-Computer Studies, 1994, 40 (1): 119- 151.
doi: 10.1006/ijhc.1994.1006
4 DOBLE C , MATAYOSHI J , COSYN E , et al. A data-based simulation study of reliability for an adaptive assessment based on knowledge space theory[J]. International Journal of Artificial Intelligence in Education, 2019, 29 (2): 258- 282.
doi: 10.1007/s40593-019-00176-0
5 STEINER C M , NUSSBAUMER A , ALBERT D . Supporting self-regulated personalised learning through competence-based knowledge space theory[J]. Policy Futures in Education, 2009, 7 (6): 645- 661.
doi: 10.2304/pfie.2009.7.6.645
6 HOCKEMEYER C, ALBERT D. The adaptive tutoring system rath-a prototype[C]//AUER M E, RESSLER U. ICL99 Workshop Interactive Computer Aided Learning Tools and Applications. Villach, Austria: Carinthia Tech Institute, 1999: 54-78.
7 REDDY A A, HARPER M. Aleks-based placement at the university of illinois[M]//FALMAGNE J C, ALBERT D, DOBLE C, et al. Knowledge Spaces: Applications in Education. Berlin: Springer-Verlag, 2013: 51-64.
8 GE Xun , LI Jinjin . A note on the separability of items in knowledge structures delineated by skill multimaps[J]. Journal of Mathematical Psychology, 2020, 98, 102427.
doi: 10.1016/j.jmp.2020.102427
9 FALMAGNE J C , DOIGNON J P . Learning spaces: interdisciplinary applied mathematics[M]. Berlin: Springer-Verlag, 2011: 23- 39.
10 NEWELL A , SIMON H A . Human problem solving[M]. Englewood Cliffs, New Jersey: Prentice-Hall, 1972.
11 STEFANUTTI L , ALBERT D . Skill assessment in problem solving and simulated learning environments[J]. Journal of Universal Computer Science, 2003, 9 (12): 1455- 1468.
12 STEFANUTTI L . On the assessment of procedural knowledge: from problem spaces to knowledge spaces[J]. British Journal of Mathematical and Statistical Psychology, 2019, 72 (2): 185- 218.
doi: 10.1111/bmsp.12139
13 KOROSSY K. Modeling knowledge as competence and performance[M]//ALBERT D, LUKAS J. Knowledge Spaces: Theories, Empirical Research, Applications. New York: Psychology Press, 1999: 103-132.
14 JÜRGEN H, ALI Ü, DIETRICH A. Skills, competencies and knowledge structures[M]//FALMAGNE J C, ALBERT D, DOBLE C, et al. Knowledge Spaces: Applications in Education. Berlin: Springer-Verlag, 2013: 229-242.
15 STEFANUTTI L , CHIUSOLE D D . On the assessment of learning in competence-based knowledge space theory[J]. Journal of Mathematical Psychology, 2017, 80, 22- 23.
doi: 10.1016/j.jmp.2017.08.003
16 DOIGNON J P. Knowledge spaces and skill assignments[M]//FISCHER G H, LAMING D. Contributions to Mathematical Psychology, Psychometrics and Methodology. Berlin: Springer-Verlag, 1994: 112-121.
17 KOPPEN M , DOIGNON J P . How to build a knowledge space by querying an expert[J]. Journal of Mathematical Psychology, 1990, 34 (3): 311- 331.
doi: 10.1016/0022-2496(90)90035-8
18 FALMAGNE J C , KOPPEN M , VILLANO M , et al. Introduction to knowledge spaces: how to build, test, and search them[J]. Psychological Review, 1990, 97 (2): 201- 224.
doi: 10.1037/0033-295X.97.2.201
19 HELLER J . A formal framework for characterizing querying algorithms[J]. Journal of Mathematical Psychology, 2004, 48 (1): 1- 8.
doi: 10.1016/j.jmp.2003.10.003
20 DOIGNON J P , FALMAGNE J C . Knowledge spaces[M]. Berlin: Springer-Verlag, 1999: 274- 309.
21 SCHREPP M . A method for the analysis of hierarchical dependencies between items of a questionnaire[J]. Methods of Psychological Research Online, 2003, 8 (1): 43- 79.
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