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Psychometric Properties of an Instrument to Measure Word Problem Solving Skills in Mathematics
Chunlian Jiang; Do-Hong Kim; Chuang Wang
2018-07
Source PublicationJournal of Applied Measurement
ISSN1529-7713
Volume19Issue:3Pages:283-302
Abstract

The purpose of this study is to examine the psychometric properties of an instrument to measure word problem solving skills in mathematics related to speed with 706 sixth grade Chinese and Singaporean students. Rasch measurement models were applied to examine the reliability, unidimensionality, rating scale functioning, item difficulty, and person difficulty. The differential item functioning (DIF) analysis was also performed to examine the differences in item difficulty estimates between Chinese and Singaporean students. Results suggest that the data satisfied the unidimensionality requirements of the Rasch model and that most of the item difficulty measures aligned the person ability distribution. The instrument demonstrated adequate reliability. The fit statistics were within acceptable limits for the vast majority of items, with a few exceptions. The rating scale structure functioned properly although the middle categories had very few observations. Deleting misfitting cases and collapsing middle categories slightly improved the psychometric properties. DIF analysis revealed that four items were more difficult for Chinese students whereas two other items were more difficult for the Singaporean students. Results also indicated that the Chinese participants scored higher than the Singaporean participants for 11 of the 14 items and the Singaporean students scored higher than their Chinese cohorts in the other 3 items. The validation of this instrument has implications for the teaching and learning of mathematical word problems in practice.

Language英語English
Document TypeJournal article
CollectionFaculty of Education
Corresponding AuthorChunlian Jiang
AffiliationUniversity of Macau
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Chunlian Jiang,Do-Hong Kim,Chuang Wang. Psychometric Properties of an Instrument to Measure Word Problem Solving Skills in Mathematics[J]. Journal of Applied Measurement, 2018, 19(3), 283-302.
APA Chunlian Jiang., Do-Hong Kim., & Chuang Wang (2018). Psychometric Properties of an Instrument to Measure Word Problem Solving Skills in Mathematics. Journal of Applied Measurement, 19(3), 283-302.
MLA Chunlian Jiang,et al."Psychometric Properties of an Instrument to Measure Word Problem Solving Skills in Mathematics".Journal of Applied Measurement 19.3(2018):283-302.
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