Understanding variations in elementary students’ mathematical problem-solving ability across gender and residential contexts

Authors

  • Eli Latipah Universitas Pendidikan Indonesia, Indonesia
  • Turmudi Universitas Pendidikan Indonesia, Indonesia
  • Sandi Budi Irawan Universitas Pendidikan Indonesia, Indonesia

DOI:

https://doi.org/10.58524/jasme.v6i3.1419

Keywords:

Elementary Education, Gender, Mathematical Problem-Solving Ability, Polya’s Problem-Solving Framework, Residential Context

Abstract

Background: Mathematical problem-solving ability is a fundamental competency in elementary mathematics education because it supports conceptual understanding, reasoning, and higher-order thinking. However, evidence regarding how gender and residential context contribute to variations in students’ problem-solving performance remains limited.

Aims: This study examines variations in elementary students’ mathematical problem-solving ability across gender and residential contexts to provide empirical evidence for developing more equitable and responsive mathematics instruction.

Methods: A quantitative ex post facto design was employed involving 116 fifth-grade students from three elementary schools in Cigedug Subdistrict, Indonesia. Students’ mathematical problem-solving ability was assessed using a Polya-based test encompassing four stages: understanding the problem, devising a plan, carrying out the plan, and looking back. Data were analyzed using descriptive statistics, Mann–Whitney U tests, Spearman’s rho correlation, and nonparametric effect size analysis.

Results: Students demonstrated stronger performance in devising and carrying out solution plans than in understanding problems and reviewing solutions. Significant differences were identified only across residential contexts for problem understanding and looking back (p < 0.001), whereas no significant gender-based differences were observed (p > 0.05). Effect size analysis indicated that both factors had negligible practical influence on overall problem-solving ability.

Conclusion: Variations in mathematical problem-solving ability are more evident across Polya’s problem-solving stages than across gender or residential contexts. Mathematics instruction should therefore prioritize strengthening conceptual understanding and reflective evaluation to improve students’ comprehensive problem-solving competence.

References

Agusfianuddin, A., Herman, T., & Turmudi, T. (2024). Difficulties in mathematical language and representation among elementary school students when solving word problems. Jurnal Elemen, 10(3), 567–581. https://doi.org/10.29408/jel.v10i3.25814

Alsina, Á., & Salgado, M. (2022). Understanding early mathematical modelling: First steps in the process of translation between real-world contexts and mathematics. International Journal of Science and Mathematics Education, 20(8), 1719–1742. https://doi.org/10.1007/s10763-021-10232-8

Amoa-Danquah, P., & Carbonneau, K. J. (2025). A systematic review of reviews on problem-based learning and its effectiveness. Current Issues in Education, 26(2). https://doi.org/10.14507/cie.vol26iss2.2293

Aydin, U. (2019). Test anxiety: Gender differences in elementary school students. European Journal of Educational Research, 8(1), 21–30. https://doi.org/10.12973/eu-jer.8.1.21

Debrenti, E. (2024). Game-based learning experiences in primary mathematics education. Frontiers in Education, 9. https://doi.org/10.3389/feduc.2024.1331312

Elbistan, B. D. B., & Stubbe, T. C. (2021). The relationship between problem-solving skills and planning ability by using Tower of London test. Open Education Studies, 3(1), 226–232. https://doi.org/10.1515/edu-2020-0157

Fanggidae, J. J. R., Sugiman, S., & Mahmudah, F. N. (2024). Literasi matematika dan numerasi dalam tren penelitian pendidikan matematika di Indonesia. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 13(2), 497–509. https://doi.org/10.24127/ajpm.v13i2.8625

Fauzan, A., Harisman, Y., Yerizon, Y., Suherman, S., Tasman, F., Nisa, S., Sumarwati, S., Hafizatunnisa, H., & Syaputra, H. (2024). Realistic mathematics education (RME) to improve literacy and numeracy skills of elementary school students based on teachers’ experience. Infinity Journal, 13(2), 301–316. https://doi.org/10.22460/infinity.v13i2.p301-316

Fülöp, É. (2021). Developing problem-solving abilities by learning problem-solving strategies: An exploration of teaching intervention in authentic mathematics classes. Scandinavian Journal of Educational Research, 65(7), 1309–1326. https://doi.org/10.1080/00313831.2020.1869070

Hanggara, Y., Aisyah, S. H., & Amelia, F. (2022). Analisis kemampuan pemecahan masalah matematis siswa ditinjau dari perbedaan gender. PYTHAGORAS: Jurnal Program Studi Pendidikan Matematika, 11(2), 189–201. https://doi.org/10.33373/pythagoras.v11i2.4490

Hwang, J., & Ding, L. (2020). Unequal displacement: Gentrification, racial stratification, and residential destinations in Philadelphia. American Journal of Sociology, 126(2), 354–406. https://doi.org/10.1086/711015

Jiménez Consuegra, M. A., Rodríguez-Nieto, C., & Fernández-Cézar, R. (2026). Networking ethnomathematical connections and STEAM education for mathematics learning towards sustainable development: A study based on recycling practices. Journal on Mathematics Education, 17(2), 393–422. https://doi.org/10.22342/jme.v17i2.pp393-422

Kholid, M. N., & Ahadiyati, A. (2022). Students’ metacognition in solving non-routine problems. Al-Jabar: Jurnal Pendidikan Matematika, 13(1), 125–138. https://doi.org/10.24042/ajpm.v13i1.11776

Kliziene, I., Paskovske, A., Cizauskas, G., Augustiniene, A., Simonaitiene, B., & Kubiliunas, R. (2022). The impact of achievements in mathematics on cognitive ability in primary school. Brain Sciences, 12(6). https://doi.org/10.3390/brainsci12060736

Kraft, M. A. (2020). Interpreting effect sizes of education interventions. Educational Researcher, 49(4), 241–253. https://doi.org/10.3102/0013189X20912798

Laamena, C. M., & Laurens, T. (2021). Mathematical literacy ability and metacognitive characteristics of mathematics pre-service teacher. Infinity Journal, 10(2), 259–270. https://doi.org/10.22460/infinity.v10i2.p259-270

Lazić, B. D., Knežević, J. B., & Maričić, S. M. (2021). The influence of project-based learning on student achievement in elementary mathematics education. South African Journal of Education, 41(3), 1–10. https://doi.org/10.15700/saje.v41n3a1909

Magfiroh, M., Prabawanto, S., & Rosjanuardi, R. (2024). Learning obstacle of students in geometrical sequence and series. KnE Social Sciences, 569–577. https://doi.org/10.18502/kss.v9i13.15960

Manfreda Kolar, V., & Hodnik, T. (2021). Mathematical literacy from the perspective of solving contextual problems. European Journal of Educational Research, 10(1), 467–483. https://doi.org/10.12973/eu-jer.10.1.467

Martínez-Abad, F., & León, J. (2023). Inferencia causal en investigación educativa: Análisis de la causalidad en estudios observacionales de carácter transversal. RELIEVE - Revista Electrónica de Investigación y Evaluación Educativa, 29(2). https://doi.org/10.30827/relieve.v29i2.26843

Matteucci, M., & Mignani, S. (2021). Investigating gender differences in mathematics by performance levels in the Italian school system. Studies in Educational Evaluation, 70, 101022. https://doi.org/10.1016/j.stueduc.2021.101022

Mejias, P. P., McAllister, D. E., Diaz, K. G., & Ravest, J. (2021). A longitudinal study of the gender gap in mathematics achievement: Evidence from Chile. Educational Studies in Mathematics, 107(3), 583–605. https://doi.org/10.1007/s10649-021-10052-1

Mozahem, N. A., Boulad, F. M., & Ghanem, C. M. (2021). Secondary school students and self-efficacy in mathematics: Gender and age differences. International Journal of School & Educational Psychology, 9(sup1), S142–S152. https://doi.org/10.1080/21683603.2020.1763877

Nilimaa, J. (2023). New examination approach for real-world creativity and problem-solving skills in mathematics. Trends in Higher Education, 2(3), 477–495. https://doi.org/10.3390/higheredu2030028

Nurhikmayati, I., Priatna, N., Dahlan, J. A., & Minasyan, S. (2024). An ex post facto study of critical thinking skills in mathematics learning based on school geography. Al-Jabar: Jurnal Pendidikan Matematika, 15(1), 15–31. https://doi.org/10.24042/ajpm.v15i1.19330

Oktasya, I., Turmuzi, M., & Setiawan, H. (2022). Analisis kemampuan pemecahan masalah soal cerita matematika siswa kelas V SDN 01 Tempos. Jurnal Ilmiah Profesi Pendidikan, 7(2), 351–353. https://doi.org/10.29303/jipp.v7i2.495

Pellegrini, M., Lake, C., Neitzel, A., & Slavin, R. E. (2021). Effective programs in elementary mathematics: A meta-analysis. AERA Open, 7, 2332858420986211. https://doi.org/10.1177/2332858420986211

Pradana, L. N. (2024). Problem-solving strategy: Mathematical problem-solving model within the Polya framework. KnE Social Sciences, 728–740. https://doi.org/10.18502/kss.v9i6.15327

Pratiwi, D. T., & Alyani, F. (2022). Kemampuan pemecahan masalah matematika siswa kelas V SD pada materi pecahan. Journal for Lesson and Learning Studies, 5(1), 136–142. https://doi.org/10.23887/jlls.v5i1.49100

Raiyan, A. S. H., Omar, M. S. R., Aboush, M., Allah, H. T. M. H., & Baraijia, I. (2025). Mathematical problem-solving strategies among elementary school students. International Journal on Culture, History, and Religion, 7(1), 512–531. https://doi.org/10.63931/ijchr.v7i1.497

Ramadhani, M. H., Kartono, K., Haryani, S., Marwoto, P., & Mulyono, S. E. (2023). Analisis kemampuan pemecahan masalah matematis siswa SD Negeri Ngijo 02 Gunungpati. Jurnal Educatio FKIP UNMA, 9(1), 168–176. https://doi.org/10.31949/educatio.v9i1.4518

Reinholz, D., Johnson, E., Andrews-Larson, C., Stone-Johnstone, A., Smith, J., Mullins, B., Fortune, N., Keene, K., & Shah, N. (2022). When active learning is inequitable: Women’s participation predicts gender inequities in mathematical performance. Journal for Research in Mathematics Education, 53(3), 204–226. https://doi.org/10.5951/jresematheduc-2020-0143

Rodríguez, S., Regueiro, B., Piñeiro, I., Estévez, I., & Valle, A. (2020). Gender differences in mathematics motivation: Differential effects on performance in primary education. Frontiers in Psychology, 10. https://doi.org/10.3389/fpsyg.2019.03050

Romadhon, N. I., Amir, M. F., & Wardana, M. D. K. (2024). Assessing students’ mathematical reasoning in problem-based learning: A gender perspective. International Journal of Evaluation and Research in Education (IJERE), 13(6), 3763–3774. https://doi.org/10.11591/ijere.v13i6.29580

Rosas-Rivera, Y., & Solovieva, Y. (2023). A dynamic evaluation of the process of solving mathematical problems, according to N. F. Talyzina’s method. Psychology in Russia: State of the Art, 16(3), 88–103. https://doi.org/10.11621/pir.2023.0307

Rubel, L. H., & McCloskey, A. V. (2021). Contextualization of mathematics: Which and whose world? Educational Studies in Mathematics, 107(2), 383–404. https://doi.org/10.1007/s10649-021-10041-4

Santos, R., Santiago, A., & Cruz, C. (2024). Problem posing and problem solving in primary school: Opportunities for the development of different literacies. Education Sciences, 14(1). https://doi.org/10.3390/educsci14010097

Siddiq, F., & Scherer, R. (2019). Is there a gender gap? A meta-analysis of the gender differences in students’ ICT literacy. Educational Research Review, 27, 205–217. https://doi.org/10.1016/j.edurev.2019.03.007

Sinaga, B., Sitorus, J., & Situmeang, T. (2023). The influence of students’ problem-solving understanding and results of students’ mathematics learning. Frontiers in Education, 8. https://doi.org/10.3389/feduc.2023.1088556

Son, A. L., Darhim, & Fatimah, S. (2020). Students’ mathematical problem-solving ability based on teaching models intervention and cognitive style. Journal on Mathematics Education, 11(2), 209–222. https://doi.org/10.22342/jme.11.2.10744.209-222

Suseelan, M., Chew, C., & Chin, H. (2022). Research on mathematics problem solving in elementary education conducted from 1969 to 2021: A bibliometric review. International Journal of Education in Mathematics, Science and Technology, 10(4), 1003–1029. https://doi.org/10.46328/ijemst.2198

Szabo, Z. K., Körtesi, P., Guncaga, J., Szabo, D., & Neag, R. (2020). Examples of problem-solving strategies in mathematics education supporting the sustainability of 21st-century skills. Sustainability, 12(23). https://doi.org/10.3390/su122310113

Ukobizaba, F., Nizeyimana, G., & Mukuka, A. (2021). Assessment strategies for enhancing students’ mathematical problem-solving skills: A review of literature. Eurasia Journal of Mathematics, Science and Technology Education, 17(3). https://doi.org/10.29333/ejmste/9728

Wu, Y. (2025). Unlocking mathematics success: Global lessons on student achievement, teacher satisfaction, and school environments. International Electronic Journal of Mathematics Education, 20(2). https://doi.org/10.29333/iejme/15900

Yapatang, L., & Polyiem, T. (2022). Development of the mathematical problem-solving ability using applied cooperative learning and Polya’s problem-solving process for grade 9 students. Journal of Education and Learning, 11(3), 40–46. https://doi.org/10.5539/jel.v11n3p40

Yu, S., Yao, C., & Xue, Q. (2026). Three-step structured instructional model for enhancing primary school students’ mathematical problem-solving skills. The Journal of Educational Research, 119(1), 1–12. https://doi.org/10.1080/00220671.2025.2508707

Zhang, R., Chen, Z., & Deng, C. (2024). Gender differences in elementary school students’ fraction learning: Roles of spatial ability and mathematical anxiety. Frontiers in Psychology, 15. https://doi.org/10.3389/fpsyg.2024.1464501

Zhou, Y., Zhu, Y., & Wong, W. K. (2023). Statistical tests for homogeneity of variance for clinical trials and recommendations. Contemporary Clinical Trials Communications, 33, 101119. https://doi.org/10.1016/j.conctc.2023.101119

Downloads

Published

2026-07-18