Developing an instruments to measure prospective teacher beliefs about mathematical problem-solving using the Rasch model
DOI:
https://doi.org/10.29408/jel.v10i2.25040Keywords:
beliefs, problem-solving, measure, Rasch modelAbstract
Beliefs in solving mathematical problems become the basis for action, the basis for change, and the basis for learning mathematics. This research describes the development of an instrument for measuring prospective teachers beliefs in solving mathematical problems. One hundred sixty prospective teachers’ with experience in problem-solving and learning mathematics became research respondents. The research data was analysed using the Rasch model. The results of the data analysis show that the instrument developed is considered reliable and valid. Fifty-five items can be used to measure prospective teachers’ beliefs about solving mathematical problems. The instruments that have been developed can be used as initial assessments in implementing problem-based learning to help students develop problem-solving skills to face challenges in real life.
References
Adi, N. R. M., Amaruddin, H., Adi, H. M. M., & A’yun, I. L. Q. (2022). Validity and reliability analysis using the rasch model to measure the quality of mathematics test items of vocational high schools. Journal of Research and Educational Research Evaluation, 11(2), 103–113.
Andrich, D., & Marais, I. (2019). A course in rasch measurement theory: measuring in the educational, social and health sciences. Springer Nature Singapore. https://doi.org/10.1007/978-981-13-7496-8
Arikan, E. E. (2016). Prospective teachers' beliefs about problem solving in multiple ways. Universal Journal of Educational Research, 4(7), 1727–1733.
Atikah, A., Sudiyatno, S., Rahim, A., & Marlina, M. (2022). Assessing the item of final assessment mathematics test of junior high school using Rasch model. Jurnal Elemen, 8(1), 117–130.
Bal, A. P. (2015). Examination of the mathematical problem-solving beliefs and success levels of primary school teacher candidates through the variables of mathematical success and gender. Educational Sciences: Theory and Practice, 15(5), 1373–1390.
Boone, W. J. (2016). Rasch analysis for instrument development: why, when, and how? CBE—Life Sciences Education, 15(4), rm4. https://doi.org/10.1187/cbe.16-04-0148
Dorimana, A., Uworwabayeho, A., & Nizeyimana, G. (2021). Examining mathematical problem-solving beliefs among rwandan secondary school teachers. International Journal of Learning, Teaching and Educational Research, 20(7), 227–240.
Harisman, Y., Kusumah, Y. S., & Kusnandi, K. (2019). Beliefs of junior high school teachers on learning process on mathematical problem solving. Journal of Physics: Conference Series, 1157(3), 032112. https://iopscience.iop.org/article/10.1088/1742-6596/1157/3/032112/meta
Huei, O., Rus, R., & Kamis, A. (2020). Construct validity and reliability in content knowledge of design and technology subject: A Rasch measurement model approaches for pilot study. Int J Acad Res Bus Soc Sci, 10(3), 497–511.
Indihadi, D., Suryana, D., & Ahmad, A. B. (2022). The analysis of construct validity of Indonesian creativity scale using Rasch model. Creativity Studies, 15(2), 560–576.
Kaspersen, E., Pepin, B., & Sikko, S. A. (2017). Measuring prospective teachers’ practices and beliefs about teaching mathematics using the Rasch model. International Journal of Research & Method in Education, 40(4), 421–442. https://doi.org/10.1080/1743727X.2016.1152468
Memnun, D. S., Hart, L. C., & Akkaya, R. (2012). Research on the mathematical problem-solving beliefs of mathematics, science and elementary pre-service teachers in Turkey in terms of different variables. International Journal of Humanities and Social Science, 2(24), 172–184.
Mkomange, W. C., Chukwuekezie, S. C., Ajagbe, M. A., & Long, C. S. (2012). A model of the effects of change in teachers' beliefs in mathematical problem solving in Malaysia. IRACST-International Journal of Computer Science and Information Technology & Security, 2(5), 916–925.
Muhtarom, M., Juniati, D., & Siswono, T. Y. E. (2019). Examining prospective teacher beliefs and pedagogical content knowledge towards teaching practice in mathematics class: A case study. Journal on Mathematics Education, 10(2), 185–202.
Muhtarom, M., Nizaruddin, N., Sutrisno, S., & Pathudin, P. (2020). Capturing prospective teachers' beliefs about mathematical problem solving. Universal Journal of Educational Research. https://eprints.upgris.ac.id/888/
Muntazhimah, M., & Wahyuni, R. (2022). The development and validation of mathematical reflective thinking test for prospective mathematics teachers using the Rasch model. Jurnal Elemen, 8(1), 175–186.
Nieveen, N., & Folmer, E. (2013). Formative evaluation in educational design research. Design Research, 153(1), 152–169.
Ozturk, T., & Guven, B. (2016). Evaluating students' beliefs in problem solving process: A case study. Eurasia Journal of Mathematics Science and Technology Education, 12(3). https://avesis.ktu.edu.tr/yayin/1cd209ab-9adc-4ca8-9ca0-97ee45572eea/evaluating-students-beliefs-in-problem-solving-process-a-case-study
Prendergast, M., Breen, C., Bray, A., Faulkner, F., Carroll, B., Quinn, D., & Carr, M. (2018). Investigating secondary students' beliefs about mathematical problem-solving. International Journal of Mathematical Education in Science and Technology, 49(8), 1203–1218. https://doi.org/10.1080/0020739X.2018.1440325
Rahim, A., & Haryanto, H. (2021). Implementation of item response theory (IRT) Rasch model in quality analysis of final exam tests in mathematics. Journal of Research and Educational Research Evaluation, 10(2), 57–65.
Sağlam, Y., & Dost, S. (2014). Preservice science and mathematics teachers' beliefs about mathematical problem solving. Procedia-Social and Behavioral Sciences, 116, 303–306.
Saidi, S. S., & Siew, N. M. (2019). Reliability and validity analysis of statistical reasoning test survey instrument using the rasch measurement model. International Electronic Journal of Mathematics Education, 14(3), 535–546.
Sharif, M. S., Hanapi, Z., Nashir, I. M., Ghani, C., Kob, C., & Abdullah, A. S. (2019). Construct validity and reliability of manufacturing industry: A rasch measurement model approaches for pilot study. International Journal of Academic Research in Business and Social Sciences, 9(3), 654–665.
Siswono, T. Y. E., Kohar, A. W., Hartono, S., Rosyidi, A. H., Kurniasari, I., & Karim, K. (2019). Examining teacher mathematics-related beliefs and problem-solving knowledge for teaching: Evidence from Indonesian primary and secondary teachers. International Electronic Journal of Elementary Education, 11(5), 493–506.
Siswono, T. Y. E., Kohar, A. W., Kurniasari, I., & Astuti, Y. P. (2016). An investigation of secondary teachers' understanding and belief on mathematical problem solving. Journal of Physics: Conference Series, 693(1), 012015. https://iopscience.iop.org/article/10.1088/1742-6596/693/1/012015/meta
Siswono, T. Y. E., Kohar, A. W., Rosyidi, A. H., & Hartono, S. (2017). Primary school teachers' beliefs and knowledge about mathematical problem-solving and their performance on problem-solving task. World Transactions on Engineering and Technology Education, 15(2), 126–131.
Stage, F. K., & Kloosterman, P. (1992). Measuring beliefs about mathematical problem solving. School Science and Mathematics, 92(3), 109–115.
Sumintono, B. (2018). Rasch model measurements as tools in assesment for learning. 1st International Conference on Education Innovation (ICEI 2017), 38–42. https://www.atlantis-press.com/proceedings/icei-17/25892886.
Sumintono, B., & Widhiarso, W. (2014). Aplikasi model Rasch untuk penelitian ilmu-ilmu sosial (edisi revisi) [Applications of the Rasch model to social science research (revised edition)]. Trim Komunikata Publishing House. http://eprints.um.edu.my/11413/
Sumintono, B., & Widhiarso, W. (2015). Aplikasi pemodelan rasch pada assessment pendidikan [Application of Rasch modeling to educational assessment]. Trim Komunikata. http://eprints.um.edu.my/14228/
van den Akker, J., Branch, R. M., Gustafson, K., Nieveen, N., & Plomp, T. (2012). Design approaches and tools in education and training. Springer Science & Business Media. https://books.google.com/books?hl=id&lr=&id=KDDpCAAAQBAJ&oi=fnd&pg=PP8&dq=plomp+and+nieveen+design+based&ots=rZ0lKBSjMa&sig=6BAcI80HJHlmyZFddTS5SmsZpm8
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Muhtarom Muhtarom
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Authors who publish with the Jurnal Elemen agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under Creative Commons Attribution-ShareAlike 4.0 International License (CC BY-SA 4.0).
- Authors are able to enter into separate, additional contractual arrangements for the distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
Jurnal Elemen is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License