Preservice Mathematics Teachers' Contextual Numeracy: Difficulty and Changes in Problem-Solving Pattern

Authors

  • Sri Winarni Universitas Jambi
  • Kamid Kamid Universitas Jambi
  • Asrial Asrial Universitas Jambi
  • Jefri Marzal Universitas Jambi

DOI:

https://doi.org/10.22437/edumatica.v16i2.56624

Keywords:

contextual numeracy, DIFUNDES-PROBLEMING, pre-service mathematics teachers, pre-test and post-test

Abstract

Numeracy among pre-service mathematics teachers is frequently evaluated through test scores alone, making changes in problem-solving processes difficult to capture. This study examined changes in patterns of numeracy difficulties and problem-solving processes from pre-test to post-test following the implementation of DIFUNDES-PROBLEMING. A mixed-methods approach involving 38 mathematics education students at Universitas Jambi was employed. Data were collected using parallel contextual numeracy instruments on systems of linear equations and statistical reasoning, a holistic scoring rubric on a 0–100 scale, coding and categorization informed by grounded theory procedures, and Wilcoxon signed-ranks tests. Pre-test results indicated incomplete problem-solving processes, with modelling, verification, and reasoning often absent or only partially demonstrated. Post-test results showed a more structured sequence of modelling, calculation, verification, and conclusion drawing, with mean scores increasing from 45.57 to 76.76. Wilcoxon signed-ranks tests indicated a statistically significant improvement. Qualitative analysis of changes across the problem-solving indicators showed the greatest improvements in modelling, calculation, and verification, whereas contextual reasoning remained the primary challenge, particularly on items 1.d, 2.c, and 2.d. These findings indicate that DIFUNDES-PROBLEMING contributed to meaningful improvements in both numeracy achievement and the systematic quality of problem-solving processes.

References

Alashwal, H. A., & Barham, A. I. (2025). Sustaining problem-based learning: A mixed-methods exploration of its long-term effects on primary students’ mathematical problem solving. Social Sciences and Humanities Open, 12. https://doi.org/10.1016/j.ssaho.2025.101717

Anggraena, Y., Ginanto, D. E., Kesuma, A. T., & Setiyowati, D. (2025). Pembelajaran dan Asesmen Edisi Revisi Tahun 2025. Kementerian Pendidikan Dasar Dan Menengah Republik Indonesia.

Aprilianti, W., Ardellea, F., & Hamdu, G. (2022). Pentingnya Kemampuan Guru Sekolah Dasar dalam Mengembangkan Soal Tes Literasi dan Numerasi Berbasis Education for Sustainable Development (ESD). Edu Cendikia: Jurnal Ilmiah Kependidikan, 2(02), 220–227. https://doi.org/10.47709/educendikia.v2i02.1587

Bolstad, O. H. (2020). Operasionalisasi literasi matematika guru sekolah menengah. 8(3), 115–135.

Botha, H., & van Putten, S. (2018). How Mathematical Literacy Teachers Facilitate Mathematisation in Modelling Situations. African Journal of Research in Mathematics, Science and Technology Education, 22(1), 93–102. https://doi.org/10.1080/18117295.2018.1437337

Brousseau, G. (1997). Theory of Didactical Situations in Mathematics. In Kluwer Academic Publishers. https://doi.org/10.1007/0-306-47211-2

Corbin, J., & Strauss, A. (1990). Basics of qualitative research: Grounded theory procedures and techniques. SAGE Publications.

Creswell, J. W. (2014). Research design: Qualitative, quantitative, and mixed methods approaches (4th ed.). SAGE Publications, Inc.

Dole, S., & Geiger, V. (2018). Numeracy Across the Curriculum: Research-based Strategies for Enhancing Teaching and Learning. taylorfrancis.com. https://doi.org/10.4324/9781003116585

Efriani, A., Putri, R. I. I., & Hapizah. (2019). Sailing context in pisa-like mathematics problems. Journal on Mathematics Education, 10(2), 265–276. https://doi.org/10.22342/jme.10.2.5245.265-276

Fanani, A., Hanindita, A. W., Rosidah, C. T., & Susiloningsih, W. (2022). Peningkatan Kompetensi Guru dalam Penyusunan Instrumen Soal AKM Literasi Teks SD. Jurnal Abdi Masyarakat Indonesia, 2(4), 1333–1338. https://doi.org/10.54082/jamsi.422

Forgasz, H. J., & Hall, J. (2019). Learning about Numeracy : The Impact of a Compulsory Unit on Pre-service Teachers ’ Understandings and Beliefs. Australian Journal of Teacher Education, 44(2). https://doi.org/10.14221/ajte.2018v44n2.2

Geiger, V., Goos, M., & Forgasz, H. (2015). A Rich Interpretation of Numeracy for the 21st Century: a Survey of the State of the Field. ZDM - International Journal on Mathematics Education, 47(4), 531–548. https://doi.org/10.1007/s11858-015-0708-1

Geiger, V., & Schmid, M. (2024). A critical turn in numeracy education and practice. Frontiers in Education, 9(1363566). https://doi.org/10.3389/feduc.2024.1363566

Getenet, S. T. (2022). Teachers ’ Knowledge Framework for Designing Numeracy Rich Tasks across Non-Mathematics Curriculum Areas. International Journal of Education in Mathematics, Science, and Technology (IJEMST), 10(3663–680). https://doi.org/10.46328/ijemst.2137

Guerrero-ortiz, C., & Ferri, R. B. (2022). Pre-service teachers’ challenges in implementing mathematical modelling: Insights into reality. PNA, 16(4), 309–341. https://doi.org/10.30827/pna.v16i4.21329

Herizal, H., Marhami, M., Fonna, M., & Rohantizani, R. (2022). Preservice Mathematics Teachers’ Reasoning in Solving Critical Thinking Problem. Barekeng Jurnal Ilmu Matematika Dan Terapan, 16(1), 1–6. https://doi.org/10.30598/barekengvol16iss1pp001-006

Jiang, P., Zhang, Y., Jiang, Y., & Xiong, B. (2022). Preservice mathematics teachers’ perceptions of mathematical problem solving and its teaching: A case from China. Frontiers in Psychology, 13, 1–16. https://doi.org/10.3389/fpsyg.2022.998586

Kemendikbud. (2020). AKM dan Implikasinya pada Pembelajaran. Pusmenjar Balitbang Kemendikbud, 1–37.

Marhami, Rohantizani, Muhammad, I., Samsidar, & Anggraini, I. (2023). Pre-service mathematics teachers ’ numeracy in Acehnese culture-based minimum competence assessment. 9(January), 109–118.

Marx, M., & Winter, J. (2014). Pre-Service Teacher Learning and Practice for Mathematical Literacy. University of the Witwatersrand, Johannesburg,.

Nieveen, N. M., Mckenney, S., & Reeves, T. C. (2007). Educational Design Research. Handbook of Information Technology in Education: Professional Learning and Development of Teachers.

Novita, N., Muliani, M., & Mellyzar, M. (2022). Pelatihan Pengembangan Soal Matematika Dan Sains Berbasis Numerasi Pada Guru Untuk Menunjang Asesmen Nasional. SELAPARANG: Jurnal Pengabdian Masyarakat Berkemajuan, 6(1), 486. https://doi.org/10.31764/jpmb.v6i1.7761

O’Sulivan, K. (2022). Investigating Pre-service Teachers’ Knowledge of Numeracy and Their Ability to Teach Numeracy for Disciplinary Learning. University of Limerick, January. https://doi.org/10.34961/researchrepository-ul.21591333.v1

OECD. (2022). Pisa 2022 Mathematics Framework ( Draft ). OECD.

Oktiningrum, W., Zulkardi, & Hartono, Y. (2016). Developing PISA-like mathematics task with Indonesia natural and cultural heritage as context to assess students’ mathematical literacy. Journal on Mathematics Education, 7(1), 1–8. https://doi.org/10.22342/jme.7.1.2812.1-8

Permatasari, B. D., Gunarhadi, & Riyadi. (2019). The Influence of Problem Based Learning Towards Social Science Learning Outcomes Viewed from Learning Interest. International Journal of Evaluation and Research in Education, 8(1), 39–46. https://doi.org/10.11591/ijere.v8i1.15594

Suryadi, D. (2019). Penelitian Desain Didaktis (DDR) dan Implementasinya. In Gapura Putra.

Tekin-Dede, A., & Bukova-Güzel, E. (2018). A Rubric Development Study for the Assessment of Modeling Skills. The Mathematics Educator, 27(2), 33–72.

Toklu, D. A., & Hursen, C. (2021). Assessment of the Educational Needs of Preschool Teacher Candidates as Regards Teaching Practice. Revista Romaneasca Pentru Educatie Multidimensionala, 13(2), 356–381. https://doi.org/10.18662/rrem/13.2/426

Tomlinson, C. A. (2017). How to Differentiate Instruction in Academically Diverse Classrooms. 3rd Ed. Alexandria, VA: ASCD.

Vale, P., & Westaway, L. (2024). The development of pre-service teachers ’ competence to teach mental calculation strategies. South African Journal of Childhood Education, 14(1), 1–9. https://doi.org/10.4102/sajce.v14i1.1552

Viro, E., & Joutsenlahti, J. (2020). Learning Mathematics by Project Work in Secondary School. Lumat, 8(1), 107–132. https://doi.org/10.31129/LUMAT.8.1.1372

Walsh, C., Bragg, L. A., Muir, T., & Oates, G. (2022). Unleashing Adult Learners’ Numeracy Agency Through Self-Determined Online Professional Development. The International Review of Research in Open and Distributed Learning, 23(3), 240–258. https://doi.org/10.19173/irrodl.v23i3.6046

Wiegand, S., & Borromeo Ferri, R. (2023). Promoting pre-service teachers’ professionalism in steam education and education for sustainable development through mathematical modelling activities. ZDM - Mathematics Education, 55(7), 1269–1282. https://doi.org/10.1007/s11858-023-01500-8

Wiggins, G., & McTighe, J. (2005). Understanding by Design. Association for Supervision and Curriculum Development.

Winarni, S., Kamid, K., Marzal, J., & Asrial, A. (2024). Numeracy Skills of Prospective Mathematics Teachers: An Investigation in the Context of Discounting. AIP Conference Proceedings, 3176(1). https://doi.org/10.1063/5.0222947

Wirth, L., & Greefrath, G. (2024). Working with an instructional video on mathematical modeling : upper ‑ secondary students ’ perceived advantages and challenges. ZDM – Mathematics Education, 56(4), 573–587. https://doi.org/10.1007/s11858-024-01546-2

Zuo, S., Liu, L., & Qi, C. (2024). Using video to develop pre-service teachers’ noticing within a mathematical modelling context. Eurasia Journal of Mathematics, Science and Technology Education, 20(5). https://doi.org/10.29333/ejmste/14466

Downloads

Published

2026-08-31

How to Cite

Winarni, S., Kamid, K., Asrial, A., & Marzal, J. (2026). Preservice Mathematics Teachers’ Contextual Numeracy: Difficulty and Changes in Problem-Solving Pattern. Edumatica : Jurnal Pendidikan Matematika, 16(2), 406-424. https://doi.org/10.22437/edumatica.v16i2.56624

Most read articles by the same author(s)

<< < 1 2 3