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Abstract
This study aims to identify the relationship between the level of metacognitive skills and the performance of form four students in solving mathematical problems at Sekolah Menengah Kebangsaan Keratong, Bandar Tun Razak, Pahang. This correlational study involves 33 students from three classes selected as the study sample using convenience sampling techniques. Data were collected through questionnaires and a mathematical problem-solving test, then analyzed using descriptive and Pearson correlation statistical methods. The instruments used demonstrated a high level of validity, with a Content Validity Index (CVI) of 1.00 as assessed by four experts. Additionally, a pilot study showed that the instruments had high reliability, as evidenced by Cronbach’s Alpha value of 0.89. The analysis revealed that students' overall metacognitive skill levels were high (M = 2.99, SD = 0.67). However, students' performance in solving mathematical problems was very low, with an average score of 34.47%. The findings also indicated a moderate and significant relationship between students’ metacognitive skill levels and their performance in solving mathematical problems (r = 0.43, p < 0.05). In conclusion, students with higher metacognitive skills tend to perform better in solving mathematical problems. The study highlights the need to incorporate metacognitive elements comprehensively into the mathematics curriculum to improve student performance, particularly in Mathematics.
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Copyright (c) 2025 Mohamad Amir Farhan Roslan, Nur Hamiza Adenan, Siew Wei Tho, Zhaofeng Zeng

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References
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- Martinez, M., & Bartholomew, M. (2017). Interpreting and calculating means and standard deviations. Pharmaceutics, 9(2), 14. https://doi.org/10.3390/pharmaceutics9020014
- Mcloughlin, C., & Hollingworth, R. (2001). The weakest link: Web-based learning and metacognition. In Proceedings of the 18th Annual Conference of the Australasian Society for Computers in Learning in Tertiary Education.
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- Mohd Khalid, F. A., Rozaimi, N. N., & Taha, H. (2020). Metacognitive behaviour of Form Four students in problem solving. Journal of Science and Mathematics Letters, 8(2), 74–85. https://doi.org/10.37134/jsml.vol8.2.10.2020
- Moreno, L., Briñol, P., & Petty, R. E. (2021). Metacognitive confidence and academic performance. Metacognition and Learning, 17(1), 139–165. https://doi.org/10.1007/s11409-021-09270-y
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- Price, O., & Lovell, K. (2018). Quantitative research design. https://doi.org/10.7765/9781526136527.00008
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- Schober, P., Boer, C., & Schwarte, L. A. (2018). Correlation coefficients: Appropriate use and interpretation. Anesthesia & Analgesia, 126(5), 1763–1768. https://doi.org/10.1213/ANE.0000000000002864
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References
Abdelrahman, R. (2020). Metacognitive awareness and academic achievement. Heliyon, 6(9), e04192. https://doi.org/10.1016/j.heliyon.2020.e04192
Abdullah, A., Rahman, S., & Hamzah, M. (2017). Metacognitive skills of Malaysian students in non-routine mathematical problem solving. Bolema: Boletim de Educação Matemática, 31(57), 310–322. https://doi.org/10.1590/1980-4415v31n57a15
Arsuk, S., & Memnun, D. S. (2020). The effect of problem-solving strategy instruction supported by metacognitive strategies on seventh-grade students’ problem-solving success and metacognitive skills. Journal of Social Sciences of Mus Alparslan University, 8(2), 559–573. https://doi.org/10.18506/anemon.634989
Chew, F. P., & Masingan, N. J. (2021). Pengetahuan, sikap dan kesediaan pelajar terhadap kemahiran berfikir aras tinggi dalam kemahiran menulis. Pendeta Journal of Malay Language, Education and Literature, 12(2), 29–43. https://doi.org/10.37134/pendeta.vol12.2.3.2021
Concina, E. (2019). The role of metacognitive skills in music learning and performing: Theoretical features and educational implications. Frontiers in Psychology, 10, 1583. https://doi.org/10.3389/fpsyg.2019.01583
Desoete, A., & Roeyers, H. (2006). Metacognitive macroevaluations in mathematical problem solving. Learning and Instruction, 16(1), 12–25. https://doi.org/10.1016/j.learninstruc.2005.12.003
Du, Z., Wang, B., He, J., & Zhang, H. (2023). Brief pain inventory and pain detection questionnaire based on WeChat and paper versions: Validity and reliability for herpes zoster–induced neuralgia. Medicine, 102(32), e34542. https://doi.org/10.1097/MD.0000000000034542
Fraenkel, J. R., & Wallen, N. E. (2005). How to design and evaluate research in education. McGraw-Hill.
Gomez, J., Patino, J., Duque, J., & Passos, S. (2019). Spatiotemporal modeling of urban growth using machine learning. Remote Sensing, 12(1), 109. https://doi.org/10.3390/rs12010109
Güner, P., & Erbay, H. N. (2021). Metacognitive skills and problem-solving. International Journal of Research in Education and Science, 715–734. https://doi.org/10.46328/ijres.1594
Gurat, M. G. (2018). Mathematical problem-solving strategies among student teachers. Journal on Efficiency and Responsibility in Education and Science, 11(3), 53–64. https://doi.org/10.7160/eriesj.2018.110302
Hamzah, M. S. G., Paim, L., Haron, S. H., & Abdullah, M. F. N. L. (2013). Buku panduan pembinaan instrumen “Anda dan Kepenggunaan”. Emeritus Publications.
Hasrin, N., & Maat, S. M. (2022). Kebimbangan dan kepercayaan matematik serta hubungan dengan pembelajaran matematik. Malaysian Journal of Social Sciences and Humanities, 7(4), e001437. https://doi.org/10.47405/mjssh.v7i4.1437
Hinojosa, L. M. M., Rodriguez, M. C., & Paez, C. A. O. (2020). Measurement of metacognition: Adaptation of metacognitive state inventory in Spanish. European Journal of Educational Research, 9(1), 413–421. https://doi.org/10.12973/eu-jer.9.1.413
Idris, N., Abdullah, N., & Sembak, S. (2015). Kesedaran metakognisi dan pemahaman konsep dalam penyelesaian masalah matematik. Jurnal Pendidikan Sains & Matematik Malaysia, 5(2), 23–40. https://ejournal.upsi.edu.my/index.php/JPSMM/article/view/2149/1770
Incebacak, B., & Ersoy, E. (2016). Problem-solving skills of secondary school students. China-USA Business Review, 15(6). https://doi.org/10.17265/1537-1514/2016.06.002
Karnain, T., Bakar, M. N., Siamakani, S. Y., Mohammadikia, H., & Candra, M. (2014). Exploring metacognitive skills used during problem posing. Jurnal Teknologi, 67(1). https://doi.org/10.11113/jt.v67.1847
Lee, J. H., Abdullah, F. A. P., & Bunyamin, M. A. H. (2013). Aplikasi konsep fizik dalam menyelesaikan masalah STEM bagi pelajar tingkatan enam atas. In Proceedings of the 2nd International Seminar on Quality and Affordable Education (pp. 470–481).
Liljedahl, P., Santos-Trigo, M., Malaspina, U., & Bruder, R. (2016). Problem solving in mathematics education. ICME-13 Topical Surveys. https://doi.org/10.1007/978-3-319-40730-2
Loh, M. Y., & Lee, N. H. (2019). Evaluating metacognitive strategies in mathematical problem solving. In ICME-13 Monographs (pp. 155–176). https://doi.org/10.1007/978-3-030-10472-6_8
Lunenburg, F., & Irby, B. (2008). Quantitative research designs. https://doi.org/10.4135/9781483329659.n3
Mahmud, M. S., Yunus, A. S. M., Ayub, A. F. M., & Sulaiman, T. (2020). Enhancing mathematical language through oral questioning. International Journal of Learning, Teaching and Educational Research, 19(5), 395–410. https://doi.org/10.26803/IJLTER.19.5.24
Martinez, M., & Bartholomew, M. (2017). Interpreting and calculating means and standard deviations. Pharmaceutics, 9(2), 14. https://doi.org/10.3390/pharmaceutics9020014
Mcloughlin, C., & Hollingworth, R. (2001). The weakest link: Web-based learning and metacognition. In Proceedings of the 18th Annual Conference of the Australasian Society for Computers in Learning in Tertiary Education.
Mohamad, N. A., & Mahamod, Z. (2014). Tahap kemahiran metakognitif murid tingkatan empat. Malay Language Education Journal, 4(1), 41–47. https://spaj.ukm.my/jpbm/index.php/jpbm/article/view/73
Mohd Khalid, F. A., Rozaimi, N. N., & Taha, H. (2020). Metacognitive behaviour of Form Four students in problem solving. Journal of Science and Mathematics Letters, 8(2), 74–85. https://doi.org/10.37134/jsml.vol8.2.10.2020
Moreno, L., Briñol, P., & Petty, R. E. (2021). Metacognitive confidence and academic performance. Metacognition and Learning, 17(1), 139–165. https://doi.org/10.1007/s11409-021-09270-y
O’Neil, H. F., & Abedi, J. (1996). Reliability and validity of a state metacognitive inventory. Journal of Educational Research, 89(4), 234–245. https://doi.org/10.1080/00220671.1996.9941208
Omar, M. F., & Abdul Karim, A. (2022). Kemahiran penyelesaian masalah matematik berayat. Malaysian Journal of Social Sciences and Humanities, 7(12), e002010. https://doi.org/10.47405/mjssh.v7i12.2010
Price, O., & Lovell, K. (2018). Quantitative research design. https://doi.org/10.7765/9781526136527.00008
Ramadhanti, D., Ghazali, A. S., Hasanah, M., & Harsiati, T. (2019). Students’ metacognitive weaknesses in academic writing. International Journal of Emerging Technologies in Learning, 14(11), 41–57. https://doi.org/10.3991/ijet.v14i11.10213
Schober, P., Boer, C., & Schwarte, L. A. (2018). Correlation coefficients: Appropriate use and interpretation. Anesthesia & Analgesia, 126(5), 1763–1768. https://doi.org/10.1213/ANE.0000000000002864
Sihotang, R. K., & Hutagalung, E. (2020). Metacognition skills of gifted students. Journal of Physics: Conference Series, 1521, 032017. https://doi.org/10.1088/1742-6596/1521/3/032017
Singh, P. (2013). P value, statistical significance and clinical significance. Journal of Clinical and Preventive Cardiology, 2(4), 202–206. https://www.jcpcarchives.org/full/p-value-statistical-significance-and-clinical-significance-121.php
Stanton, J. D., Sebesta, A. J., & Dunlosky, J. (2021). Fostering metacognition to support learning. CBE—Life Sciences Education, 20(2), fe3. https://doi.org/10.1187/cbe.20-12-0289
Stratton, S. J. (2021). Convenience sampling strategies. Prehospital and Disaster Medicine, 36(4), 373–374. https://doi.org/10.1017/s1049023x21000649
Wan Jaafar, W. N., & Maat, S. M. (2020). Motivasi dan pencapaian matematik murid luar bandar. Jurnal Pendidikan Sains dan Matematik Malaysia, 10(1), 39–48. https://doi.org/10.37134/jpsmm.vol10.1.5.2020
Zakaria, E., & Zaini, N. (2009). Conceptual and procedural knowledge of rational numbers in trainee teachers. European Journal of Social Sciences, 9(2), 202–217.
Zan, R. (2000). A metacognitive intervention in mathematics at university level. International Journal of Mathematical Education in Science and Technology, 31(1), 143–150. https://doi.org/10.1080/002073900287462