Bridging Numeracy and Critical Reasoning through Realistic Mathematics Education: Evidence from a Mixed-Methods Classroom Intervention
DOI:
https://doi.org/10.30862/jhm.v8i3.1014Keywords:
critical thinking, junior high school mathematics, mixed-methods, numeracy, realistic mathematics educationAbstract
Critical thinking in numeracy contexts (CTNC) is a core twenty-first-century competency, yet its systematic development remains limited in conventional mathematics instruction. Realistic Mathematics Education (RME) offers a theoretically grounded approach to fostering CTNC through contextualised problem solving, guided reinvention, and collaborative discourse. This mixed-methods study investigated the effectiveness of RME in enhancing CTNC among junior secondary students and examined their experiential learning processes. Thirty-eight Year 7 students (n = 19 per class) were selected via cluster sampling. A quasi-experimental, non-randomised control group design with pre-test and post-test measures was employed in the quantitative phase. The qualitative phase involved three waves of semi-structured interviews with six purposively selected students, using member checking and theoretical sampling until data saturation was achieved. Results indicated a statistically significant improvement in CTNC for students in the RME group compared to those receiving conventional instruction, t(36) = 5.55, p < .001. Thematic analysis revealed three interconnected dimensions: enhanced contextual sense-making through engagement with realistic tasks; deepened critical reasoning facilitated by structured peer discourse; and increased metacognitive awareness during strategy evaluation. Students also reported greater engagement and perceived relevance of mathematics to everyday contexts. These findings suggest that RME effectively strengthens CTNC by linking abstract numeracy to authentic experiences through collaborative inquiry. The study highlights the importance of systematically integrating context-rich, discussion-oriented pedagogies into secondary mathematics curricula.
References
Aizikovitsh-Udi, E., & Cheng, D. (2015). Developing critical thinking skills from dispositions to abilities: Mathematics education from early childhood to high school. Creative Education, 6(4), 455–462. https://doi.org/10.4236/ce.2015.64045
Almulla, M. (2020). The effectiveness of the flipped classroom on students’ learning achievement and academic engagement: A systematic review. International Journal of Instruction, 13(4), 845–860. https://doi.org/10.29333/iji.2020.13452a
Ary, D., Jacobs, L. C., Irvine, C. K. S., & Walker, D. (2018). Introduction to research in education (10th ed.). Cengage Learning.
Butler, H. A. (2024). Critical thinking: Definitions, cognitive skills, and dispositions. In V. A. Green & R. A. Fasko (Eds.), The Cambridge handbook of critical thinking (2nd ed., pp. 15–33). Cambridge University Press. https://doi.org/10.1017/9781009020407.003
Butler, H. A., Pentoney, C., & Bong, M. P. (2017). Predicting real-world outcomes: Critical thinking ability is a better predictor of life decisions than intelligence. Thinking Skills and Creativity, 25, 38–46. https://doi.org/10.1016/j.tsc.2017.06.005
Charmaz, K. (2014). Constructing grounded theory (2nd ed.). SAGE Publications.
Creswell, J. W. (2018). Qualitative inquiry & research design: Choosing among five approaches (4th ed.). SAGE Publications.
Creswell, J. W., & Creswell, J. D. (2023). Research design: Qualitative, quantitative, and mixed methods approaches (6th ed.). SAGE Publications.
Dolapcioglu, S., & Doğanay, A. (2022). Developing critical thinking skills in mathematics education: A systematic review. International Journal of Mathematical Education in Science and Technology, 53(2), 297–317. https://doi.org/10.1080/0020739X.2021.1875070
Duru, A., & Obasi, C. (2023). Enhancing students’ critical thinking skills through contextualised problem-solving tasks in mathematics. Education Research International, 2023, Article 5599851. https://doi.org/10.1155/2023/5599851
Facione, P. A. (2015). Critical thinking: What it is and why it counts (6th ed.). Measured Reasons LLC.
Facione, P. A., Gittens, C. A., Facione, N. C., & Giancarlo, C. A. (2020). Think critically (4th ed.). Pearson.
Field, A. (2018). Discovering statistics using IBM SPSS statistics (5th ed.). SAGE Publications.
Geiger, V., Goos, M., & Forgasz, H. (2014). A critical orientation to numeracy across the curriculum. ZDM – The International Journal on Mathematics Education, 46(4), 543–555. https://doi.org/10.1007/s11858-014-0595-4
Gelerstein, D., del Río, R., Nussbaum, M., Chiuminatto, P., & López, X. (2016). Designing and implementing a test for measuring critical thinking in primary school. Thinking Skills and Creativity, 20, 40–49. https://doi.org/10.1016/j.tsc.2016.02.002
Gravemeijer, K. (1994). Developing realistic mathematics education. Freudenthal Institute–Utrecht University.
Halpern, D. F., & Sternberg, R. J. (2020). Critical thinking in psychology and everyday life. In D. F. Halpern & R. J. Sternberg (Eds.), Critical thinking in psychology (2nd ed., pp. 1–14). Cambridge University Press. https://doi.org/10.1017/9781108568272.001
Hammond, J., & Gibbons, P. (2005). Putting scaffolding to work: The contribution of scaffolding in articulating ESL education. Prospect, 20(1), 6–30.
Heuvel-Panhuizen, M. van den. (2003). The didactical use of models in realistic mathematics education: An example from a longitudinal trajectory on percentage. Educational Studies in Mathematics, 54(1), 9–35. https://doi.org/10.1023/B:EDUC.0000005212.03219.dc
Heuvel-Panhuizen, M. van den. (2020). Didactical phenomenology: Understanding the role of context in realistic mathematics education. In M. van den Heuvel-Panhuizen (Ed.), National reflections on the Netherlands didactics of mathematics (pp. 85–100). Springer. https://doi.org/10.1007/978-3-030-33824-4_5
Jablonka, E. (2020). Mathematics education and critical thinking. In S. Lerman (Ed.), Encyclopedia of mathematics education (2nd ed., pp. 570–573). Springer. https://doi.org/10.1007/978-3-030-15789-0_110
Jain, S., & Rogers, M. (2019). Numeracy as critical thinking. Adults Learning Mathematics: An International Journal, 14(1), 19–31. https://alm-online.net/wp-content/uploads/2019/06/ALM-IJ-Volume-14-1.pdf
Luthfiyah, I., Simamora, R. E., & Rahayu, S. W. (2024). Eksplorasi proses pemecahan masalah matematika siswa kelas 8 sekolah menengah pertama dalam menyelesaikan soal cerita. Mathematics Education and Application Journal (META), 6(1), 30–47.
Mastuti, S., Yuliani, K., & Hartono, Y. (2022). Critical thinking-oriented tasks to enhance students’ mathematical reasoning skills. Infinity Journal, 11(1), 15–30. https://doi.org/10.22460/infinity.v11i1.4891
Miles, M. B., Huberman, A. M., & Saldaña, J. (2014). Qualitative data analysis: A methods sourcebook (3rd ed.). SAGE Publications.
Nashrullah, R., Suryadi, D., & Rosjanuardi, R. (2023). Developing critical thinking skills through problem-based learning in mathematics. Journal on Mathematics Education, 14(1), 55–70. https://doi.org/10.22342/jme.v14i1.15758
Nieveen, N., & Plomp, T. (2013). Educational design research: An introduction. In T. Plomp & N. Nieveen (Eds.), Educational design research – Part A: An introduction (pp. 11–50). SLO.
Nowell, L. S., Norris, J. M., White, D. E., & Moules, N. J. (2017). Thematic analysis: Striving to meet the trustworthiness criteria. International Journal of Qualitative Methods, 16(1), 1–13. https://doi.org/10.1177/1609406917733847
Pallant, J. (2020). SPSS survival manual: A step by step guide to data analysis using IBM SPSS (7th ed.). McGraw-Hill Education.
Primasari, I. F., Setiawan, R., & Aini, R. (2021). Designing realistic mathematics education tasks: Balancing challenge and accessibility. Journal of Physics: Conference Series, 1806(1), 012192. https://doi.org/10.1088/1742-6596/1806/1/012192
Rizmawati, L., Simamora, R. E., & Anwar, A. (2024). Literasi dan disposisi matematis siswa kelas X sekolah menengah atas. Mathematics Education and Application Journal (META), 6(2), 103–126.
Schoenfeld, A. H. (2020). Reframing teacher knowledge: A research and development agenda. ZDM–Mathematics Education, 52(2), 359–376. https://doi.org/10.1007/s11858-019-01057-0
Simamora, R. E., & Ramadhanta, S. A. (2024). Investigating the effects of Realistic Mathematics Education on mathematical creativity through a mixed-methods approach. Indonesian Journal of Science and Mathematics Education, 7(2), 337–360. https://doi.org/10.24042/ijsme.v7i2.21221
Taubah, S., Nusantara, T., & Qohar, A. (2018). Students’ critical thinking skills in solving contextual mathematical problems. International Journal of Instruction, 11(3), 641–656. https://doi.org/10.12973/iji.2018.11344a
Van den Heuvel-Panhuizen, M., & Drijvers, P. (2020). Realistic Mathematics Education. In S. Lerman (Ed.), Encyclopedia of mathematics education (pp. 713–717). Springer. https://doi.org/10.1007/978-3-030-15789-0_170
Watson, J. M. (2002). Critical thinking in statistical literacy. In B. Phillips (Ed.), Proceedings of the Sixth International Conference on Teaching Statistics (pp. 1–6). International Statistical Institute.
Wijaya, T. T., Hidayat, W., Hermita, N., Alim, J. A., & Talib, C. A. (2024). Exploring contributing factors to PISA 2022 mathematics achievement: Insights from Indonesian teachers. Infinity Journal, 13(1), 139–156. https://doi.org/10.22460/infinity.v13i1.p139-156
Zetriuslita, A., Ariawan, R., & Nofriyandi, R. (2016). Mathematical critical thinking skills of students through realistic mathematics education. Infinity Journal, 5(1), 27–36. https://doi.org/10.22460/infinity.v5i1.216
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Rustam Effendy Simamora, Heldina L. Toruan

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
License and Copyright Agreement
In submitting the manuscript to the journal, the authors certify that:
- They are authorized by their co-authors to enter into these arrangements.
- The work described has not been formally published before, except in the form of an abstract or as part of a published lecture, review, thesis, or overlay journal. Please also carefully read Journal of Honai Math Posting Your Article Policy at http://journalfkipunipa.org/index.php/jhm/about
- That it is not under consideration for publication elsewhere,
- That its publication has been approved by all the author(s) and by the responsible authorities – tacitly or explicitly – of the institutes where the work has been carried out.
- They secure the right to reproduce any material that has already been published or copyrighted elsewhere.
- They agree to the following license and copyright agreement.
Copyright
Authors who publish with Journal of Honai Math agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License (CC BY-NC-SA 4.0) that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive 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.


