Profiling Students’ Algebraic Numeracy Ability Based on Mathematical Resilience: An Exploratory Case Study at Junior High School in Majene, Indonesia

Profiling Students’ Algebraic Numeracy Ability Based on Mathematical Resilience: An Exploratory Case Study at Junior High School in Majene, Indonesia

Authors

  • Hadrawi Hadrawi Universitas Terbuka, Indonesia
  • Hafiludin Samparadja Universitas Halu Oleo, Indonesia
  • Ardi Dwi Susandi Universitas Terbuka, Indonesia

DOI:

https://doi.org/10.64780/jole.v2i2.239

Keywords:

Algebraic numeracy, Exploratory case study, Junior high school mathematics education, Mathematical resilience, Minimum Competency Assessment

Abstract

Background: Students’ difficulties in algebraic numeracy remain a persistent challenge in mathematics education because algebra requires abstract reasoning, conceptual understanding, and persistence when encountering complex problems. Existing studies have largely examined mathematical achievement from cognitive perspectives, while affective factors influencing students’ engagement and persistence, such as mathematical resilience, remain less explored, particularly in junior high school algebra learning.

Aims: This study aims to explore students’ algebraic numeracy profiles based on different levels of mathematical resilience and to identify the factors contributing to variations in students’ responses when solving algebraic problems.

Method: This research employed an exploratory case study design using an embedded mixed-methods: This study employed an exploratory case study design with an embedded mixed-methods approach involving 32 eighth-grade students from SMP Negeri 2 Majene, Indonesia. Data from the Mathematical Resilience Scale, algebraic numeracy tests, interviews, and observations were analyzed using thematic analysis and cross-case comparison.

Results: The findings indicate that students with higher mathematical resilience demonstrated greater persistence, strategic flexibility, and willingness to engage with challenging algebraic tasks, although their conceptual mastery was not always optimal. The Struggle dimension emerged as the most distinguishing characteristic among resilience categories, while growth mindset became more meaningful when supported by concrete learning experiences. Teacher scaffolding, family support, and peer interaction were identified as important factors shaping students’ mathematical resilience.

Conclusion: The study highlights that improving algebraic numeracy requires an integrated approach combining cognitive development with affective support. Strengthening mathematical resilience through supportive learning environments may provide a foundation for improving students’ engagement and performance in algebra learning.

References

Akkan, S. N., & Horzum, T. (2024). Illuminating the landscape of mathematical resilience: A systematic review. Journal of Pedagogical Research, 8(1), 312–338. https://doi.org/10.33902/JPR.202426128

Alam, A., & Mohanty, A. (2024). Unveiling the complexities of “Abstract Algebra” in university mathematics education (UME): Fostering conceptualization and understanding through advanced pedagogical approaches. Cogent Education, 11(1), Article 2355400. https://doi.org/10.1080/2331186X.2024.2355400

Annisa, A. H., Rejeki, S., & Sugiyanti, S. (2024). An analysis of a junior high school’s readiness in optimizing students’ numeracy skills to face minimum competency assessment. Mathline: Jurnal Matematika dan Pendidikan Matematika, 9(3), 705–722. https://doi.org/10.31943/mathline.v9i3.656

Ayeh, I. G. (2025). Students’ mathematics conceptual challenges: Exploring students’ thinking, understanding, and misconceptions in functions and graphs. European Journal of Science and Mathematics Education, 13(3), 191–206.

Creswell, J. W., & Plano Clark, V. L. (2017). Designing and conducting mixed methods research (3rd ed.). SAGE Publications.

Edo, S. I., & Tasik, W. F. (2022). Investigation of students’ algebraic conceptual understanding and the ability to solve PISA-like mathematics problems in a modeling task. Mathematics Teaching Research Journal, 14(2), 44–60.

Enderle, C. (2025). “So that you can feel well”: Perspectives of students with social, emotional and behavioral difficulties on factors that support school attendance. School Mental Health, 17(3), 935–956. https://doi.org/10.1007/s12310-025-09764-z

He, S., Qi, C., Xiao, L., & Hao, J. (2026). Shaping students’ creative problem-solving skills through cognitive activation strategies: The mediating role of mathematics anxiety and perseverance. Thinking Skills and Creativity, 60, Article 102083. https://doi.org/10.1016/j.tsc.2025.102083

Mathaba, P. N., Bayaga, A., Tîrnovan, D., & Bossé, M. J. (2024). Error analysis in algebra learning: Exploring misconceptions and cognitive levels. Journal on Mathematics Education, 15(2), 575–592.

Mildret, N., & Kakoma, L. (2025). Exploring the effectiveness of using erroneous examples to simplify algebraic expressions: Embracing misconceptions as learning opportunities. International Journal of Science, Mathematics & Technology Learning, 32(2), 123–147. https://doi.org/10.18848/2327-7971/CGP/v32i02/123-147

Mufidah, I., Kusairi, S., & Arifin, S. (2023). Development of AKM numeracy instruments on numbers, geometry and measurement materials for grade IV elementary school students. PrimaryEdu: Journal of Primary Education, 7(1), 45–60. https://doi.org/10.22460/pej.v7i1.3567

Organisation for Economic Co-operation and Development. (2023). PISA 2022 results (Volume I): The state of learning and equity in education. OECD Publishing. https://doi.org/10.1787/53f23881-en

Osei, W., & Agyei, D. D. (2024). Transition from knowledge of algebra for teaching (KAT) to technological knowledge of algebra for teaching (T-KAT). Cogent Education, 11(1), Article 2369000. https://doi.org/10.1080/2331186X.2024.2369000

Panaoura, R. (2025). Sustainable learning practices in engineering mathematics: Building self-regulation and resilience. Sustainability, 17(22), Article 10137. https://doi.org/10.3390/su172210137

Purnomo, H., Sa’dijah, C., Hidayanto, E., Sisworo, Permadi, H., & Anwar, L. (2022). Development of instrument numeracy skills test of minimum competency assessment (MCA) in Indonesia. International Journal of Instruction, 15(3), 635–648.

Qi, C. (2025). The impact of adolescent innovation on academic resilience, distance learning self-efficacy, and academic performance. Scientific Reports, 15(1), Article 12396. https://doi.org/10.1038/s41598-025-91542-7

Saunders, C. H., Sierpe, A., von Plessen, C., Kennedy, A. M., Leviton, L. C., Bernstein, S. L., Goldwag, J., King, J. R., Marx, C. M., Pogue, J. A., Saunders, R. K., van Citters, A., Yen, R. W., Elwyn, G., & Leyenaar, J. K. (2023). Practical thematic analysis: A guide for multidisciplinary health services research teams engaging in qualitative analysis. BMJ, 381, Article e074256. https://doi.org/10.1136/bmj-2022-074256

Sibgatullin, I. R., Korzhuev, A. V., Khairullina, E. R., Sadykova, A. R., Baturina, R. V., & Chauzova, V. (2022). A systematic review on algebraic thinking in education. Eurasia Journal of Mathematics, Science and Technology Education, 18(1), Article em2064. https://doi.org/10.29333/ejmste/11430

Siregar, N., & Siregar, R. S. (2025). Analysis of numeracy literacy of junior high school students in AKM questions: Learning strategies based on higher order thinking skills at SMP Negeri 5 Tapung Hilir. Jurnal Profesi Guru Indonesia, 2(1), 359–367. https://doi.org/10.62945/jpgi.v2i1.720

Sun, S., Sun, D., & Xu, T. (2023). The developmental progression of early algebraic thinking of elementary school students. Journal of Intelligence, 11(12), Article 222. https://doi.org/10.3390/jintelligence11120222

Taranto, E., Bagossi, S., Arzarello, F., & Beltramino, S. (2026). Interdisciplinary conceptualizations of variables and parameters through narratives. Education Sciences, 16(2), Article 217. https://doi.org/10.3390/educsci16020217

Ünal, Z. E., Ala, A. M., Kartal, G., Özel, S., & Geary, D. C. (2023). Visual and symbolic representations as components of algebraic reasoning. Journal of Numerical Cognition, 9(2), 327–345. https://doi.org/10.5964/jnc.10079

van der Werf, V., Hermans, F., Specht, M., & Aivaloglou, E. (2024). Variables and variable naming in popular programming textbooks for children and novices. In Proceedings of the 2024 ACM Virtual Global Computing Education Conference V.1 (SIGCSE Virtual 2024) (pp. 242–248). Association for Computing Machinery. https://doi.org/10.1145/3649165.3690112

Xenofontos, C., & Mouroutsou, S. (2023). Resilience in mathematics education research: A systematic review of empirical studies. Scandinavian Journal of Educational Research, 67(7), 1041–1055. https://doi.org/10.1080/00313831.2022.2115132

Yan, T., & Jin, Y. (2026). Enhancing mathematics learning for students with intellectual and developmental disabilities in China: A qualitative study of instructional support. Journal of Intelligence, 14(2), Article 18. https://doi.org/10.3390/jintelligence14020018

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Published

2026-07-21

How to Cite

Hadrawi, H., Samparadja, H., & Susandi, A. D. (2026). Profiling Students’ Algebraic Numeracy Ability Based on Mathematical Resilience: An Exploratory Case Study at Junior High School in Majene, Indonesia. Journal of Literacy Education, 2(2), 111–125. https://doi.org/10.64780/jole.v2i2.239
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