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Pattern Recognition and Artificial Intelligence  2022, Vol. 35 Issue (3): 223-242    DOI: 10.16451/j.cnki.issn1003-6059.202203003
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Item State Transition Functions and Polytomous Knowledge Structures Based on Procedural Knowledge Learning
SUN Xiaoyan1, LI Jinjin1,2
1. School of Mathematical Sciences, Huaqiao University, Quan-zhou 362021;
2. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000

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Abstract  In the assessment of procedural knowledge, skills refer to the operation paths relevant to the solution of an item. Based on the learning assessment of procedural knowledge, a method of delineating polytomous knowledge structure from the state structure of the item itself is proposed to establish a polytomous assessment system for problem solving. Firstly, the response values are set according to the solution or operation process of each item to obtain the item-specific response value set. The item state space is defined by item state transition function, and the problem space is extended to polytomous case. Then,the conjunctive skill maps are derived from the operation paths, and the polytomous knowledge structures delineated by the conjunctive skill maps are discussed. The results show that the polytomous knowledge structure delineated by a skill map based on the conjunctive model satisfies the item-wise intersection closure. Finally, the algorithm steps of delineating polytomous knowledge structure are given, and the effectiveness of the proposed algorithm is illustrated by an example.
Key wordsItem State Transition Function      Operation Path      Conjunctive Skill Map      Polytomous Knowledge Structure     
Received: 11 November 2021     
ZTFLH: TP 182  
Fund:National Natural Science Foundation of China(No.11871259,11971287), Natural Science Foundation of Fujian Province(No.2019J01748,2020J02043)
Corresponding Authors: LI Jinjin, Ph.D., professor. His research interests include topology, rough set and concept lattice.   
About author:: SUN Xiaoyan, master, lecturer. Her research interests include topology, rough set and concept lattice.
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SUN Xiaoyan,LI Jinjin. Item State Transition Functions and Polytomous Knowledge Structures Based on Procedural Knowledge Learning[J]. Pattern Recognition and Artificial Intelligence, 2022, 35(3): 223-242.
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http://manu46.magtech.com.cn/Jweb_prai/EN/10.16451/j.cnki.issn1003-6059.202203003      OR     http://manu46.magtech.com.cn/Jweb_prai/EN/Y2022/V35/I3/223
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