Psychometric Evaluation on Mathematics Beliefs Instrument Using Rasch Model


The purpose of this study was to provide the evidence of psychometric evaluation on mathematics beliefs instrument (MBI) using Rasch model. 36 items of 5 point Likert scale with three constructs of mathematics beliefs towards nature, mathematics belief in teaching and mathematics beliefs in learning. 254 of secondary mathematics school teachers were selected to be the samples. The collected data were analysed using Winstep order to obtain the Rasch Model output. The findings revealed that the MBI has reliability value of 0.98 with separation index 6.27. The person reliability has value of 0.81 and the separation index of 2.08. Some misfits items were modified accordingly based on the fit statistics suggestions. The Rasch model output has provided statistical evidence for MBI for future purposes.

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Maat, S. (2015) Psychometric Evaluation on Mathematics Beliefs Instrument Using Rasch Model. Creative Education, 6, 1797-1801. doi: 10.4236/ce.2015.616183.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Abdul Aziz, A., Masodi, M. S., & Zaharim, A. (2013). Asas Model Pengukuran Rasch: Pembentukan Skala & Struktur Pengukuran. Bangi: Penerbit Universiti Kebangsaan Malaysia.
[2] Ali, S., Mofreh, M., Najib, M., Ghafar, A., Hafiz, A., Omar, H., & Mosaku, M. (2014). Psychometric Properties on Lecturers’ Beliefs on Teaching Function: Rasch Model Analysis. International Education Studies, 7, 47-55.
[3] Arasinah, K., Bakar, A. R., Ramlah, H., Soaib, A., & Zaliza, H. (2015). Using Rasch Model and Confirmatory Factor Analysis to Assess Instrument for Clothing Fashion Design Competency. International Journal of Social Science and Humanity, 5, 418-421.
[4] Ariffin, S. R., & Abdul Hamid, N. A. (2009). Critical Thinking Skills Profile between the Science and Non-Science Students. Education Deans’ Council Journal, 3, 1-22.
[5] Beswick, K. (2005). The Beliefs/Practice Connection in Broadly Defined Contexts. Mathematics Education Research Journal, 17, 39-68.
[6] Bond, T. G., & Fox, C. M. (2007). Applying the Rasch Model: Fundamental Measurement in the Human Science (2nd ed.). Mahwah, NJ: Lawrence Erlbaum Associates.
[7] Çakiroglu, E., & Isiksal, M. (2009). Preservice Elementary Teachers’ Attitudes and Self-Efficacy Beliefs toward Mathematics Ilkögretim Ögretmen Adaylarinin Matematige Yönelik Tutum ve Özyeterlik Algilari. Education and Science, 34, 132-139.
[8] Evans, D. B. (2003). Early Childhood (K-5) Preservice Teachers’ Beliefs about Mathematics, Teaching Mathematics and Learning Mathematics. Dissertation of Doctorate in Education. Georgia: Southern University.
[9] Fisher Jr., W. P. (2007). Rating Scale Instrument Quality Criteria. Rasch Measurement Transaction, 21, 1095.
[10] Head, F. C. (2012). Comparative Analyses of Mathematics Teachers’ Efficacy Using Factor Analysis and the Rasch Model. Ph.D. Thesis, Georgia: Kennesaw State University.
[11] Muijs, D., & Reynolds, D. (2002). Teachers ’ Beliefs and Behaviours: What Really Matters? Journal of Classroom Interaction, 37, 3-15.
[12] Pampaka, M., & Williams, J. (2010). Measuring Mathematics Self Efficacy of Students at the Beginning of Their Higher Education Studies. British Congress for Mathematics Education, 159-166.
[13] Saidfudin, M., Azrilah, A., Rodzo’an, N., Omar, M., Zaharim, A., & Basri, H. (2010). Easier Learning Outcomes Analysis Using Rasch Model in Engineering Education Research. Latest Trends on Engineering Education, 442-447.
[14] Swan, M. (2002). Designing and Using Research Instruments to Describe the Beliefs and Practices of Mathematics Teachers. Research in Education, 75, 58-70.
[15] Wilkins, J. L. M. (2008). The Relationship among Elementary Teachers’ Content Knowledge, Attitudes, Beliefs, and Practices. Journal of Mathematics Teacher Education, 11, 139-164.

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