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Personalized assessment: Applying higher-order cognitive diagnosis models in secondary mathematics
Zhang, Ying1; Jin, Yi1; Xiong, Zhenrong2; Leung, Shing On3; Chen, Gaowei1; Li, Na2; Li, Bo2
2022-10
Source PublicationAsian Journal for Mathematics Education
Volume1Issue:4Pages:455-474
Abstract
Personalized assessment is an essential component in education. Although many cognitive diagnosis models (CDMs) have been developed for this purpose, few studies have applied them in secondary mathematical contexts. Using a sample of 391 Grade 11 students from a secondary school in China, the fifindings indicated that the higher-order generalized deterministic inputs, noisy, “and” gate (higher-order GDINA) model with one-parameter logistic (1PL) best fifit the data, and the Q matrix validation process achieved acceptable results. At the grade level, most of the participants mastered attributes B1 (i.e., basic concept development of derivatives: simple equations, zero or extreme points, and function range problems), B2 (complex inductive contextualization of derivatives: induction from the known to solve the unknown problems), and B3 (basic routine problem solving of derivatives: graphs that pass through a fifixed point or quantitative inequalities). However, less than half of the students mastered attribute B4 (complex transformative contextualization of derivatives: transformation by the combination of numbers and graphs). At the individual level, we selected four representative students with high, medium, and low levels of achievement to examine their individual skill profifiles and provide personalized remedial and enhanced feedback. Implications for personalized assessments are discussed.
KeywordCognitive Diagnosis Higher-order Gdina Model Pisa q Matrix Validation Personalized Assessment
DOI10.1177/27527263221136301
URLView the original
Indexed BySSCI
Language英語English
WOS Research AreaEducation
WOS SubjectEducation
PublisherAsian Journal for Mathematics Education
The Source to ArticleAsian Journal for Mathematics Education
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Document TypeJournal article
CollectionFaculty of Education
Affiliation1.The University of Hong Kong
2.Central China Normal University
3.University of Macau
Recommended Citation
GB/T 7714
Zhang, Ying,Jin, Yi,Xiong, Zhenrong,et al. Personalized assessment: Applying higher-order cognitive diagnosis models in secondary mathematics[J]. Asian Journal for Mathematics Education, 2022, 1(4), 455-474.
APA Zhang, Ying., Jin, Yi., Xiong, Zhenrong., Leung, Shing On., Chen, Gaowei., Li, Na., & Li, Bo (2022). Personalized assessment: Applying higher-order cognitive diagnosis models in secondary mathematics. Asian Journal for Mathematics Education, 1(4), 455-474.
MLA Zhang, Ying,et al."Personalized assessment: Applying higher-order cognitive diagnosis models in secondary mathematics".Asian Journal for Mathematics Education 1.4(2022):455-474.
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