Learning Science and Mathematics (LSM) Journal Vol.1, Issue 15, pp 40-55
Development of Grade Six Mathematics Item Bank by Applying Item Response Theory
Aye Aye Aung & San Lin
Received first draft 16 June 2020. Received reports from first reviewer (1 July); second reviewer (17 July). Received revised draft 4 October.
Accepted: 1 November 2020.
Published: 30 December 2020
Abstract
The purpose of the study was to construct a Mathematics Item Bank for Grade Six students by using Item Response Theory (IRT). The participants were selected by using stratified random sampling technique. Descriptive research design and quantitative survey method were used in this study. Lesson 1 to 5 of Grade Six Mathematics Textbook (1) and Lesson 1 to 6 of Grade Six Mathematics Textbook (2) were selected as the content area for item bank according to the monthly plan. In the preliminary test, after item analysis with 2-PLM of IRT, out of 219 multiple-choice items, 170 items were remained for three field tests (Form A, Form B and Form C) and each form contained about 56 items. These field tests were administered to 1513 Grade Six students from the selected schools in Yangon Region in which 505 students were administered for Form A, 504 students for Form B and 504 students for Form C. Then, 164 items of field test (56 items in Form A, 55 items in Form B and 55 items in Form C) had the discrimination range from 0 to +2 and the difficulty range from −3 to +3. Therefore, all items were stored in item bank. To support advantage of item bank, a new sample test was developed by using the items from item bank. It was found that this test was more appropriate for examinees whose ability (θ) range is −1.65 to +1.95 and provided the highest information for the examinees with ability level −0.05. In conclusion, it was found that the items that were biased against different groups could not be determined Hence suggestion was made that Differential Item Functioning (DIF) should be calculated in the future study for checking of items that are biased against racial or ethnic minorities.
Keywords: Item banking; Item response theory; Difficulty; Discrimination
© 2020 SEAMEO RECSAM LSM Journal
More Article
...