Problem-solving process of pre-service mathematics teachers in statistics

Authors

DOI:

https://doi.org/10.24071/icre.v1i1.45

Keywords:

mathematical thinking, pre-service teachers, problem-solving, qualitative analysis, statistics education

Abstract

Problem-solving skills are essential for pre-service mathematics teachers as a foundation for guiding students in addressing mathematical challenges. However, students’ problem-solving abilities in statistics courses remain relatively low. This study aims to analyze the problem-solving processes of pre-service mathematics teachers in a statistics course at Universitas Muria Kudus, Indonesia, based on their levels of problem-solving ability. Employing a qualitative–exploratory design, data were collected through statistical problem-solving tests and in-depth interviews, and then analyzed using Miles and Huberman’s qualitative framework, which involves data reduction, data display, and conclusion drawing. Thirty-three students participated and were categorized into five ability levels. The results indicate that students with very high abilities demonstrated systematic reasoning, accurate hypothesis testing, and reflective evaluation. Students with high abilities completed calculations correctly, but often neglected modelling and identification of known elements. Those with moderate abilities could represent and solve problems, but they often skipped strategic planning. Meanwhile, students with low and very low abilities relied mainly on procedural computation without conceptual understanding. The study provides valuable insights for improving pedagogical strategies to strengthen statistical problem-solving competence among pre-service mathematics teachers.

Downloads

Download data is not yet available.

References

Abdillah, A., & Budiarto, M. T. (2017). Profil kemampuan siswa dalam mengajukan masalah matematika kontekstual ditinjau dari gaya belajar Vark. Jurnal Ilmu Pendidikan Matematika, 2(6), 16–25.

Ai Hui, P., Li, C., & Bo, Y. (2020). Reciprocal learning in mathematics problem posing and problem-solving: An interactive study between Canadian and Chinese elementary school students. EURASIA Journal of Mathematics, Science and Technology Education, 16(12), Article em1913. https://doi.org/10.29333/ejmste/9130

Fuad, A. Z., Alfin, J., Fauzan, Astutik, S., & Prahani, B. K. (2019). group science learning model to improve collaborative problem solving skills and self-confidence of primary schools teacher candidates. International Journal of Instruction, 12(3), 119-132. https://www.e-iji.net/dosyalar/iji_2019_3_8.pdf

Allport, G. W. (1960). Attitudes in the history of social psychology. In M. Jahoda & N. Warren (Eds.), Attitudes: Selected readings. Penguin.

Arikunto, S. (2013). Prosedur penelitian: Suatu pendekatan praktik. Rineka Cipta.

Aydogdu, M. Z., & Kesan, C. (2014). A research on geometry problem-solving strategies used by elementary mathematics teacher candidates. Journal of Educational and Instructional Studies in The World, 4(1), 2146-7463.

Cho, M. K., & Kim, M. K. (2020). Investigating Elementary Students’ Problem-solving and Teacher Scaffolding in Solving an Ill-Structured Problem. International Journal of Education in Mathematics, Science and Technology, 8(4), 274–289. https://doi.org/10.46328/ijemst.v8i4.1148

Díaz, V., Belmar, H., & Poblete, A. (2018). Manifestación emocional y modelamiento de una función matemática [Emotional manifestation and modeling of a mathematical function]. Bolema Boletim de Educação Matemática, 36(2), 1198–1218. https://doi.org/10.1590/1980-4415v32n62a22

Foshay, R., & Kirkley, J. (2003). Principles for teaching problem solving (Technical Paper #4). PLATO Learning, Inc. https://eric.ed.gov/?id=ED464604

Gagne. (1985). The condition of learning theory of instruction. Rinehart.

Genc, M., & Erbas, A. K. (2019). Secondary mathematics teachers’ conceptions of mathematical literacy. International Journal of Education in Mathematics, Science and Technology, 7(3), 222–237. https://ijemst.com/index.php/ijemst/article/view/433

Jonassen, D. H. (2010, September). Research issues in problem solving. In 11th International Conference on Education Research.

Kenedi, A. K., Helsa, Y., Ariani, Y., Zainil, M., & Hendri, S. (2019). Mathematical connection of elementary school students to solve mathematical problems. Journal on Mathematics Education, 10(1), 69–80. https://jme.ejournal.unsri.ac.id/index.php/jme/article/view/3777

Lee, C. I. (2017). An appropriate prompts system based on the Polya method for mathematical problem-solving. EURASIA (Journal of Mathematics Science and Technology Education), 13(3), 893–910. https://doi.org/10.12973/eurasia.2017.00649a

Lestari, K. E., & Yudhanegara, M. R. (2017). Penelitian pendidikan matematika. PT Refika Aditama.

Lidinillah, D. A. M. (2008). Strategi pembelajaran pemecahan masalah di sekolah dasar. Jurnal Pendidikan Dasar, 10, 1-5.

Maf’ulah, S., & Juniati, D. (2020). The effect of learning with reversible problem-solving approach on prospective-math-teacher students’ reversible thinking. International Journal of Instruction, 13(2), 329–342. https://www.e-iji.net/dosyalar/iji_2020_2_23.pdf

Miles, M. B., Huberman, A. M., & Saldana, J. (2014). Qualitative data analysis. A methods sourcebook (3rd Ed.). Sage Publication.

Moore, K. D. (2012). Effective instructional strategies from theory to practice (3rd Ed.). Sage Publications, Inc.

Muhtadi, D., Wahyudin, Kartasasmita, B. G., & Prahmana, R. C. I. (2018). The integration of technology in teaching mathematics. Journal of Physics: Conference Series, 943(1), Article 012020. https://doi.org/10.1088/1742-6596/943/1/012020

Neria, D., & Amit, M. (2004). Students preference of non-algebraic representations in mathematical communication. In Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education (pp. 409–416). https://files.eric.ed.gov/fulltext/ED489599.pdf

Nguyen, H. D. (2009). Some criteria of the knowledge representation method for an intelligent problem solver in STEM education. Applied Computational Intelligence and Soft Computing, 2020(1), 1–14. https://doi.org/10.1155/2020/9834218

Nitko, A. J., & Brookhart, S. M. (2011). Educational assesment of student (6th Ed.). Pearson Education: Allyn & Bacon.

Nugroho, A. A., Juniati, D., & Siswono, T. Y. E. (2020). Self-regulated learning of prospective mathematics teachers with different learning styles. Beta: Jurnal Tadris Matematika, 13(1), 81–103. https://doi.org/10.20414/betajtm.v13i1.344

Nurkaeti, N. (2018). Polya’s strategy: An analysis of mathematical problem-solving difficulty in 5th grade elementary school. EduHumaniora: Jurnal Pendidikan Dasar, 10(2), 140–147. https://doi.org/10.17509/eh.v10i2.10868

Pramono, A. J. (2017). Aktivitas metakognitif siswa SMP dalam pemecahan masalah matematika berdasarkan kemampuan matematika. KREANO: Jurnal Matematika Kreatif-Inovatif, 8(2), 133–142. https://doi.org/10.15294/kreano.v8i2.6703

Pujiastuti, E., Waluya, B., & Mulyono. (2018). Tracing for the problem-solving ability in advanced calculus class based on modification of SAVI model at Universitas Negeri Semarang. Journal of Physics: Conference Series, 983, Article 012081. https://doi.org/10.1088/1742-6596/983/1/012081

Rahman, A., & Ahmar, A. S. (2016). Exploration of mathematics problem-solving process based on the thinking level of students in junior high school. International Journal of Environmental & Science Education, 11(14), 7278–7285. http://www.ijese.net/makale/998.html

Setyawan, D., & Rahman, A. (2013). Eksplorasi proses konstruksi pengetahuan matematika berdasarkan gaya berpikir. Jurnal Sainsmat, 2(2), 140–152.

Shabrina, & Kuswanto, H. (2018). Android-assisted mobile physics learning through Indonesian Batik culture: Improving students’ creative thinking and problem-solving. International Journal of Instruction, 11(4), 287–302. https://www.e-iji.net/dosyalar/iji_2018_4_19.pdf

Subanji, R., & Supratman, A. M. (2015). The Pseudo-covariational reasoning thought processes in constructing graph function of reversible event dynamics based on assimilation and accommodation frameworks. Mathematics Education Research and Practice, 19(1), 61–79. https://doi.org/10.7468/jksmed.2015.19.1.61

Suharta, I. G. P. (2016). Kemampuan siswa sekolah dasar dalam pemecahan masalah matematika real. Jurnal Pendidikan dan Pengajaran, 49(3), 137–147. https://doi.org/10.23887/jppundiksha.v49i3.9018

Susantini, E., Isnawati, & Lisdiana, L. (2016). Effectiveness of genetics student worksheet to improve creative thinking skills of teacher candidate students. Journal of Science Education, 2(17), 74–79.

Tiffany, F., Surya, E., Panjaitan, A., & Syahputra, E. (2017). Analysis mathematical communication skills student at the grade IX junior high school. International Journal of Advance Research And Innovative Ideas in Education, 3(2), 2395–4396.

Wijaya, Heuvel, P., Den, M. Van, & Doorman. (2014). Difficulties in solving context-based PISA mathematics tasks: An analysis of students’ errors. The Mathematics Enthusiast, 11(3), 555–584. https://doi.org/10.54870/1551-3440.1317

Downloads

Published

26-11-2025

How to Cite

Rahayu, R., Ulya, H., & Evanita. (2025). Problem-solving process of pre-service mathematics teachers in statistics. Proceedings of International Conference on Research in Education, 1(1), 490-502. https://doi.org/10.24071/icre.v1i1.45

Similar Articles

1-10 of 41

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