Developing an instruments to measure prospective teacher beliefs about mathematical problem-solving using the Rasch model

Authors

  • Muhtarom Muhtarom Universitas PGRI Semarang

DOI:

https://doi.org/10.29408/jel.v10i2.25040

Keywords:

beliefs, problem-solving, measure, Rasch model

Abstract

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.

Author Biography

Muhtarom Muhtarom, Universitas PGRI Semarang

Mathematics Education

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

01-06-2024

How to Cite

Muhtarom, M. (2024). Developing an instruments to measure prospective teacher beliefs about mathematical problem-solving using the Rasch model. Jurnal Elemen, 10(2), 274–288. https://doi.org/10.29408/jel.v10i2.25040

Issue

Section

Articles

Similar Articles

<< < 8 9 10 11 12 13 14 15 16 > >> 

You may also start an advanced similarity search for this article.