Proceedings of the Pacific-Rim Objective Measurement Symposium (PROMS 2023)

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A Rasch-based Analysis of Malaysian Students’ Hierarchical Understanding of Rational Numbers

Authors
Ahmad Zamri Khairani1, *, Hasni Shamsuddin2
1School of Educational Studies, Universiti Sains Malaysia, 11800, Penang, Malaysia
2Sekolah Menengah Sains Kepala Batas, 13200, Kepala Batas, Penang, Malaysia
*Corresponding author. Email: ahmadzamri@usm.my
Corresponding Author
Ahmad Zamri Khairani
Available Online 22 August 2024.
DOI
10.2991/978-94-6463-494-5_24How to use a DOI?
Keywords
Rational Number; Hierarchical Understanding; Common Item Non-equivalent Group Design; Rasch Model; Mathematics
Abstract

Rational numberis an important topic in mathematics since the knowledge and skills in this topic are very useful in more advanced topics. However, many students are unable to master this topic due to various misconceptions that exist because of properties of Rational Numbers. As such, in this study, we take the opportunity to investigate Malaysian students hierarchical understanding of Rational Numbers. A total of 1135 students aged 13 years old were randomly selected for this study. We used eight different forms of mathematics test to gauge their response on items related to Rational Numbers. The tests were administered separately but were linked together by several common items using the common item non-equivalent group design. In general, most of the items were able to be placed at the common scale, and students’ understanding of this topic is as expected. However, there were cases where the difficulty of the items was rather unexpected. As such, we proposed that the findings of the present study to be discussed further with the teachers to provide better understanding of the hierarchical understanding in this topic.

Copyright
© 2024 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title
Proceedings of the Pacific-Rim Objective Measurement Symposium (PROMS 2023)
Series
Atlantis Highlights in Social Sciences, Education and Humanities
Publication Date
22 August 2024
ISBN
978-94-6463-494-5
ISSN
2667-128X
DOI
10.2991/978-94-6463-494-5_24How to use a DOI?
Copyright
© 2024 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

risenwbib
TY  - CONF
AU  - Ahmad Zamri Khairani
AU  - Hasni Shamsuddin
PY  - 2024
DA  - 2024/08/22
TI  - A Rasch-based Analysis of Malaysian Students’ Hierarchical Understanding of Rational Numbers
BT  - Proceedings of the Pacific-Rim Objective Measurement Symposium (PROMS 2023)
PB  - Atlantis Press
SP  - 372
EP  - 383
SN  - 2667-128X
UR  - https://doi.org/10.2991/978-94-6463-494-5_24
DO  - 10.2991/978-94-6463-494-5_24
ID  - Khairani2024
ER  -