JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (7): 97-105, 114.doi: 10.6040/j.issn.1671-9352.0.2022.156

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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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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

CLC Number: 

  • TP182

Fig.1

Problem space (S0, Ω0, ·)"

Fig.2

Problem space(S1, Ω1, ·)"

Fig.3

Problem space(S2, Ω2, ·)"

Table 1

Skill map (Q2, Π2, τ) correspond to problem space (S2, Ω2, ·)"

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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