Application of Rasch Measurement Model in Developing Calibrated Item Pool for the Topic of Rational Numbers

Abstract

Rational Numbers is an essential topic in mathematics since it necessitates the learning progression of more advanced topics. Nevertheless, previous literature shows that students are having difficulties in understanding the topic for numerous reasons. The inability of teachers in providing good examples during teaching is identified as one of the major causes. Thus, this study aims to develop a calibrated pool of items to facilitate teachers in giving appropriate examples for the topic of Rational Numbers. We employed a descriptive design to provide descriptions of the item statistics for the calibrated pool of items. Samples of the study consisted of 1,292 secondary school students. We used the Rasch measurement model framework via a quantitative approach to analyse the data. The results showed that all items demonstrated an acceptable quality of measuring students' ability in rational numbers while at the same time demonstrated high evidence of validity and reliability as well. Ultimately, we also provided suggestions on how teachers can use the pool of items in delivering appropriate examples in the classroom.