Profile Metacognitive Scaffolding in Developing the Concept of Determinants to Enhance Mathematical Problem-Solving Skills of Low Ability Students

1 Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Makassar
2 Department of Science Education, Faculty of Education, Sokoto State University
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The low ability of students to understand the concept of determinants and apply it in mathematical problem-solving remains a serious challenge, particularly among low-achieving learners. These difficulties are often linked to limited instructional variation, the dominance of procedural teaching, and insufficient opportunities for developing metacognitive awareness. This study therefore explores how metacognitive scaffolding can support low-achieving students in strengthening their conceptual understanding of determinants and improving problem-solving skills. The research employed a quantitative approach with a quasi-experimental design involving 30 tenth-grade students at MA Arifah Gowa, identified as low-achieving based on pretest results. Instruments included a mathematical problem-solving test, scaffolding observation sheets, and structured interviews. Data were collected through a pretest, classroom implementation of metacognitive scaffolding, observations, and a posttest. Findings revealed a significant improvement in problem-solving ability. The average score increased from 36.7 on the pretest to 74.8 on the posttest. Inferential analysis using a paired t-test confirmed the increase was statistically significant (t(29) = –12.34, p < 0.001), with a very large effect size (Cohen’s d = 1.80). These results highlight the importance of integrating metacognitive scaffolding into mathematics instruction as a means of fostering reflective thinking, enhancing student engagement, and strengthening higher-order thinking skills, particularly for low-achieving students. The findings align with the objectives of the Merdeka Curriculum, which emphasizes critical, reflective, and independent learning.

Awi, A., Sutamrin, S., Naufal, M. A., Nasir, N., & Hassan, M. N. (2025). Profile Metacognitive Scaffolding in Developing the Concept of Determinants to Enhance Mathematical Problem-Solving Skills of Low Ability Students. Kognitif: Jurnal Riset HOTS Pendidikan Matematika, 5(3), 1330–1344. https://doi.org/10.51574/kognitif.v5i3.3803

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  1. Alayubi, Muh. A., Sappaile, B. I., & Upu, H. (2024). Development of Mathematics Literacy Teaching Module with Problem-Based Learning (PBL) Learning Model. Formatif: Jurnal Ilmiah Pendidikan MIPA, 14(2). https://doi.org/10.30998/formatif.v14i2.28072
  2. Amalina, I. K., & Vidákovich, T. (2023). Development and differences in mathematical problem-solving skills: A cross-sectional study of differences in demographic backgrounds. Heliyon, 9(5). https://doi.org/10.1016/j.heliyon.2023.e16366
  3. Ambarwati, L., & Wahyuni, I. (2023). Application of Scaffolding on Ethnomatematics-Based Construction Errors. Mosharafa: Jurnal Pendidikan Matematika, 12(4), 783–794. https://doi.org/10.31980/mosharafa.v12i4.1191
  4. An, Y.-J., & Cao, L. (2014). Examining the Effects of Metacognitive Scaffolding on Students’ Design Problem Solving and Metacognitive Skills in an Online Environment. In MERLOT Journal of Online Learning and Teaching (Vol. 10, Issue 4).
  5. Awi, & Arwadi, F. (2018). A Small Scale Study: The Metacognitive Scaffoldings in Mathematics Problem Solving for Senior High Students with High Mathematics Ability. Journal of Physics: Conference Series, 1028(1). https://doi.org/10.1088/1742-6596/1028/1/012166
  6. Azevedo, B. F., Pacheco, M. F., Fernandes, F. P., & Pereira, A. I. (2024). Dataset of mathematics learning and assessment of higher education students using the MathE platform. Data in Brief, 53. https://doi.org/10.1016/j.dib.2024.110236
  7. Dassa, A., Ihsan, H., Nasir, N., & Zulaiha Nurhajarurahmah, S. (2024). Teachers’ Perceptions of the Implementation of Scaffolding-Metacognitive Strategies in Mathematics Learning. Jurnal Ilmiah Pendidikan Matematika), 13(2), 58–66. https://doi.org/10.25273/jipm.v13i1.21280
  8. Dassa, A., Sutamrin, S., Ihsan, H., Naufal, M. A., Nasir, N., & Nurhajarurahmah, St. Z. (2024). The Implementation of Scaffolding-Metacognitive Strategies in Flipped Classroom for Mathematics Learning (pp. 102–111). https://doi.org/10.2991/978-2-38476-335-1_10
  9. Deibl, I., Zumbach, J., & Fleischer, T. (2023). Visualization and metacognitive scaffolding in learning from animations. Social Sciences and Humanities Open, 8(1). https://doi.org/10.1016/j.ssaho.2023.100601
  10. Durkaya, M., Şenel, E. Ö., Öçal, M. F., Kaplan, A., Aksu, Z., & Konyaloglu, A. C. (2011). Pre-service mathematics teachers’ multiple representation competencies about determinant concept. Procedia - Social and Behavioral Sciences, 15, 2554–2558. https://doi.org/10.1016/j.sbspro.2011.04.144
  11. Eaves, J., Attridge, N., & Gilmore, C. (2025). Misconceptions of the order of operations and associativity use. Learning and Instruction, 97. https://doi.org/10.1016/j.learninstruc.2024.102074
  12. Gusti, I., Putu, A., & Wulandari, A. (2021). Kajian mengenai kemampuan analisis siswa ditinjau dari new taxonomy marzano sebagai dasar pengembangan model pembelajaran. Jurnal Santiaji Pendidikan, 11(2).
  13. Haataja, E., Garcia Moreno-Esteva, E., Salonen, V., Laine, A., Toivanen, M., & Hannula, M. S. (2019). Teacher’s visual attention when scaffolding collaborative mathematical problem solving. Teaching and Teacher Education, 86. https://doi.org/10.1016/j.tate.2019.102877
  14. Hamidah, I., Zulkardi, Putri, R. I. I., & Pramuditya, S. A. (2025). Developing a Mathematical Literacy Learning Environment for Students through Educational Game Assistance. Mathematics Education Journal, 19(1), 141–162. https://doi.org/10.22342/jpm.v19i1.pp141-162
  15. Hasan, B. (2020). Kesulitan siswa dan scaffolding dalam menyelesaikan masalah geometri ruang. Jurnal Numeracy, 7(1).
  16. He, S., & Xin, Y. P. (2025). Design knowledge scaffolds to facilitate students’ probabilistic thinking skills for solving classical probability problems: An exploratory study. Thinking Skills and Creativity, 58. https://doi.org/10.1016/j.tsc.2025.101928
  17. Imran, N. S., Bahar, E. E., Dassa, A., & Arafah, M. (2024). Efektivtas Pembelajaran Matematika melalui Pendekatan Metakognitif. Kognitif: Jurnal Riset HOTS Pendidikan Matematika, 4(1), 511–513. https://doi.org/10.51574/kognitif.v4i1.1570
  18. Komarudin, K., Suherman, S., & Vidákovich, T. (2024). The RMS teaching model with brainstorming technique and student digital literacy as predictors of mathematical literacy. Heliyon, 10(13). https://doi.org/10.1016/j.heliyon.2024.e33877
  19. Kuswanti, Y., Nusantara, T., Artikel, R., & Kuswanti Pendidikan Matematika, Y. (2018). Deskripsi Kesalahan Siswa pada Penyelesaian Masalah Sistem Persamaan Linear Tiga Variabel (SPLTV). http://journal.um.ac.id/index.php/jptpp/
  20. Menekse, M., Putra, A. S., Kim, J., Butt, A. A., McDaniel, M., Davidesco, I., Cadieux, M., Kim, J., & Litman, D. (2025). Enhancing student reflections with natural language processing based scaffolding: A quasi-experimental study in a large lecture course. Computers and Education: Artificial Intelligence, 8, 100397. https://doi.org/10.1016/j.caeai.2025.100397
  21. Mukuka, A., Balimuttajjo, S., & Mutarutinya, V. (2023). Teacher efforts towards the development of students’ mathematical reasoning skills. Heliyon, 9(4). https://doi.org/10.1016/j.heliyon.2023.e14789
  22. Nickl, M., Sommerhoff, D., Radkowitsch, A., Huber, S. A., Bauer, E., Ufer, S., Plass, J. L., & Seidel, T. (2024). Effects of real-time adaptivity of scaffolding: Supporting pre-service mathematics teachers’ assessment skills in simulations. Learning and Instruction, 94. https://doi.org/10.1016/j.learninstruc.2024.101994
  23. Nuralam, M. I., Senjayawati, E., Siliwangi, I., Terusan, J., & Sudirman, J. (2023). Jurnal Pembelajaran Matematika Inovatif analisis kesalahan siswa sma kelas x dalam menyelesaikan soal koneksi matematis materi sistem persamaan linear tiga variabel. Jurnal Pembelajaran Matematika Inovatif. https://doi.org/10.22460/jpmi.v6i3.17096
  24. OECD. (2023). PISA 2022 Results (Volume I) : The State of Learning and Equity in Education. OECD. https://doi.org/10.1787/53f23881-en
  25. Pasaribu, J., Rohati, R., & Kumalasari, A. (2025). Analisis Kesulitan Memahami Konsep Matematis Dalam Menyelesaikan Soal Berdasarkan Self-Efficacy Siswa. Kognitif: Jurnal Riset HOTS Pendidikan Matematika, 5(3), 1081–1092. https://doi.org/10.51574/kognitif.v5i3.3118
  26. Saputra, R., Novaliyosi, N., Syamsuri, S., & Hendrayana, A. (2024). Systematic Literature Review: Strategi Scaffolding dalam Pembelajaran Matematika Untuk Meningkatkan Pemahaman Siswa. Jurnal Cendekia : Jurnal Pendidikan Matematika, 8(2), 1697–1710. https://doi.org/10.31004/cendekia.v8i2.3312
  27. Stenberg Hartviksen, E., & Haavold, P. Ø. (2025). Differences between experts in mathematical problem solving. Thinking Skills and Creativity, 58. https://doi.org/10.1016/j.tsc.2025.101875
  28. Stern, M., & Hertel, S. (2022). Relationship between maternal scaffolding and preschooler’s metacognitive strategies in a problem-solving situation. Learning and Instruction, 80. https://doi.org/10.1016/j.learninstruc.2022.101631
  29. Talib, A., Dassa, A., & Sibian, M. E. (2024). Analisis Kesalahan Basic Error Siswa dengan Menggunakan Scaffolding Pada Materi Eksponensial. In Issues in Mathematics Education (hal (Vol. 8, Issue 2). https://journal.unm.ac.id/index.php/IMED
  30. Vessonen, T., Hellstrand, H., Kurkela, M., Aunio, P., & Laine, A. (2025). The effectiveness of mathematical word problem-solving interventions among elementary schoolers: A systematic review and meta-analysis. International Journal of Educational Research, 132. https://doi.org/10.1016/j.ijer.2025.102642
  31. Weingarden, M. (2025). Exploring pre-service mathematics teachers’ perspectives on balancing student struggle and concept attention. Teaching and Teacher Education, 165. https://doi.org/10.1016/j.tate.2025.105143
  32. Zhang, W., & Lian, R. (2024). The impact of reading metacognitive strategies on mathematics learning efficiency and performance: An analysis using PISA 2018 data in China. Acta Psychologica, 246. https://doi.org/10.1016/j.actpsy.2024.104247
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