Main Article Content

Abstract

Metacognitive skills are widely recognized as a critical foundation for mathematical competence, supporting students’ ability to organize, monitor, and evaluate their problem-solving processes. Despite this importance, limited research has addressed how these skills manifest among junior high school students with low self-efficacy (LSE), a group often at risk of underachievement in mathematics. This study contributes to filling this gap by examining the specific characteristics of metacognitive functioning in LSE students when engaging with problem-solving tasks. The research aimed to describe the metacognitive skills of LSE students in solving problems involving the Pythagorean Theorem and to analyze their strategies and thinking processes. Adopting a descriptive qualitative design, the study involved students identified as having low self-efficacy through questionnaires. Data were collected via self-efficacy questionnaires, problem-solving tasks, and semi-structured interviews, and analyzed using metacognitive indicators within Polya’s problem-solving framework. The results revealed that LSE students consistently demonstrated awareness and evaluation but applied regulation less effectively, particularly during the reviewing stage. Although they were able to plan and assess their solution strategies, errors frequently occurred, requiring repeated adjustments before arriving at correct answers. These findings underscore the need for instructional approaches that explicitly integrate the development of self-efficacy with metacognitive skill training, offering practical implications for mathematics teaching and advancing research on learners with diverse affective-motivational profiles.

Keywords

Metacognitive Skills Problem Solving Pythagorean Theorem Self-Efficacy

Article Details

How to Cite
Pathuddin, Azizah, N., Lefrida, R., & Alfisyahra. (2025). Metacognitive skills in low self-efficacy students: A case study of junior high school students in the using of the Pythagorean theorem. Journal on Mathematics Education, 16(3), 783–800. https://doi.org/10.22342/jme.v16i3.pp783-800

References

  1. Abdelshiheed, M., Zhou, G., Maniktala, M., Barnes, T., & Chi, M. (2023). Metacognition and Motivation: The Role of Time-Awareness in Preparation for Future Learning. Department of Computer Science. http://arxiv.org/abs/2303.13541
  2. Adhitama, I., Sujadi, I., & Pramudya, I. (2018). Discover the pythagorean theorem using interactive multimedia learning. Journal of Physics: Conference Series, 1008(1). https://doi.org/10.1088/1742-6596/1008/1/012066
  3. Agbata, B. C., Obeng-Denteh, W., Kwabi, P. A., Abraham, S., Okpako, S. O., Arivi, S. S., Asante-Mensa, F., & Adu, G. W. K. (2024). Everyday uses of mathematics and the roles of a mathematics teacher. Science World Journal, 19(3), 819–827. https://doi.org/10.4314/swj.v19i3.29
  4. Anggraini, E., Subanji, S., & Rahardjo, S. (2024). The Role of Self-Efficacy in Enhance Metacognitive and Academic Performance Through Problem-Solving. PRISMA, 13(2), 259. https://doi.org/10.35194/jp.v13i2.4382
  5. Bandura, A. (1977). Self-efficacy: Toward a Unifying Theory of Behavioral Change. Psychological Review, 84(2), 191–215. https://doi.org/10.1037/0033-295X.84.2.191
  6. Birt, L., Scott, S., Cavers, D., Campbell, C., & Walter, F. (2022). Member checking: a tool to enhance trustworthiness or merely a nod to validation? Corresponding author (present address). King’s Research Portal. https://doi.org/10.1177/1049732316654870
  7. Bozgün, K., & Pekdoğan, S. (2018). The Self-Efficacy as Predictors of the Metacognition Awareness in Children. In Journal of Education and Future year (Issue 14). https://doi.org/10.30786/jef.390814
  8. Callan, G. L., Marchant, G. J., Finch, W. H., & German, R. L. (2016). Metacognition, strategies, achievement, and demographics: Relationships across countries. Kuram ve Uygulamada Egitim Bilimleri, 16(5), 1485–1502. https://doi.org/10.12738/estp.2016.5.0137
  9. Clivaz, S., & Miyakawa, T. (2020). Cultural effects on mathematics lessons: through the international collaborative development of a lesson in two countries. HAL Open Science. https://hal.science/hal-02459223v1
  10. Duratun, A. D., & Maryani, I. (2023). The Influence of Self-Efficacy on Metacognition Skills of High Grade Students. International Journal of Elementary Education, 7(3), 403–409. https://doi.org/10.23887/ijee.v7i3.62125
  11. Gjone, G. (1998). Programs For the Education of Researchers in Mathematics Education. In Kluwer Academic.
  12. Gözde, A. (2020). Non-routine problem solving performances of mathematics teacher candidates. Educational Research and Reviews, 15(5), 214–224. https://doi.org/10.5897/ERR2020.3907
  13. 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
  14. Henra, K., Budayasa, I. K., & Ismail. (2024). Revealing the dominant metacognitive activities of high school students in solving central tendency and dispersion problems based on gender. Journal on Mathematics Education, 15(4), 1357–1382. https://doi.org/10.22342/jme.v15i4.pp1357-1382
  15. Hermin, A. P., Pathuddin, Lefrida, R., & Alfisyahra. (2025). Exploring Students’ Metacognition in Numeracy Problem Solving: The Role of Reflective and Impulsive Cognitive Styles. Jurnal Pendidikan MIPA, 26(1), 688–707. https://doi.org/10.23960/jpmipa/v26i1.pp688-707
  16. Jameson, M. M., Dierenfeld, C., & Ybarra, J. (2022). The Mediating Effects of Specific Types of Self-Efficacy on the Relationship between Math Anxiety and Performance. Education Sciences, 12(11). https://doi.org/10.3390/educsci12110789
  17. Joshi, R., Hadley, D., Nuthikattu, S., Fok, S., Goldbloom-Helzner, L., & Curtis, M. (2022). Concept Mapping as a Metacognition Tool in a Problem-Solving-Based BME Course During In-Person and Online Instruction. Biomedical Engineering Education, 2(2), 281–303. https://doi.org/10.1007/s43683-022-00066-3
  18. Magno, C. (2010). The role of metacognitive skills in developing critical thinking. Metacognition and Learning, 5(2), 137–156. https://doi.org/10.1007/s11409-010-9054-4
  19. Meher, V., Baral, R., & Bhuyan, S. (2024). Examining impact of metacognitive interventions on self-efficacy of higher secondary school students: A quasi-experimental study. American Journal of Education and Learning, 9(2), 163–176. https://doi.org/10.55284/ajel.v9i2.1171
  20. Miles MB, Saldana J, Huberman A 2014. Qualitative Data Analysis: A Methods Soucebook Arizona State. In SAGE Publications, Inc. University Third Edition
  21. Mullis, I. V. S., Martin, M. O., Foy, P., Kelly, D. L., & Fishbein, B. (2019). HIGHLIGHTS TIMSS 2019: International Results in Maths and Science. 32. https://www.skolporten.se/app/uploads/2020/12/timss-2019-highlights-1.pdf
  22. Ningsih, N. I. S., Maharani, S., Shofari, M. R., Verlanda, M. A., & Riyanto, O. R. (2023). The Influence of Self-efficacy on Self-Anxiety Based on Students’ Mathematics Learning. Journal of Mathematics Instruction, Social Research and Opinion, 2(3), 273–286. https://doi.org/10.58421/misro.v2i3.193
  23. OECD. (2019). PISA 2018 Results. In OECD Publishing: Vol. III. https://www.oecd.org/pisa/publications/pisa-2018-results-volume-iii-acd78851-en.htm
  24. Pathuddin, & Bennu, S. (2021). Metacognitive Skills of Students with High Mathematical Abilities in Solving Contextual Problems. Journal of Physics: Conference Series, 1832(1). https://doi.org/10.1088/1742-6596/1832/1/012048
  25. Pathuddin, Budayasa, I. K., & Lukito, A. (2018). Metacognitive Knowledge of a Student in Planning the Solution of Limit Problems. Journal of Physics: Conference Series, 1108(1). https://doi.org/10.1088/1742-6596/1108/1/012032
  26. Pathuddin, Ketut Budayasa, I., & Lukito, A. (2019). Metacognitive Activity of Male Students: Difference Field Independent-Dependent Cognitive Style. Journal of Physics: Conference Series, 1218(1). https://doi.org/10.1088/1742-6596/1218/1/012025
  27. Polya, G. (1945). How to Solve It A New Aspect of Mathematical Method.
  28. Prakoso, A. F., Subroto, W. T., Andriansyah, E. H., Sari, V. B. M., Ginanjar, A. E., & Srisuk, P. (2025). How do anxiety and self-efficacy affect the problem-solving skills of undergraduate economics students as prospective teachers in Indonesia? The role of metacognition as a mediating variable. Cogent Education, 12(1). https://doi.org/10.1080/2331186X.2025.2521160
  29. Ridlo, S., & Lutfiya, F. (2017). The Correlation between Metacognition Level with Self-Efficacy of Biology Education College Students. Journal of Physics: Conference Series, 824(1). https://doi.org/10.1088/1742-6596/824/1/012067
  30. Schwarzer, R., & Jerusalem, M. (1995). Measures in Health Psychology: A User’s Portfolio. Causal and Control Beliefs (J. Weinman, S. Wright, & M. Johnston, Eds.). NFER-¬‐NELSON.
  31. Shimizu, Y. (2022). Relation Between Mathematical Proof Problem Solving, Math Anxiety, Self-Efficacy, Learning Engagement, and Backward Reasoning. Journal of Education and Learning, 11(6), 62. https://doi.org/10.5539/jel.v11n6p62
  32. Sikdar, P. R. (2024). Development & Use of Progressive Techniques in Mathematics Education. Tech Horizons: Bridging Disciplines in the Era of Emerging Technologies.
  33. Situngkir, F. L., & Dewi, I. (2022). The view of mathematics education as science. International Journal of Trends in Mathematics Education Research, 5(3), 328–332. https://doi.org/10.33122/ijtmer.v5i3.155
  34. Subba, B. H., Chanunan, S., & Poonpaiboonpipat, W. (2025). A proposed constructivism-based instructional model to enhance metacognition and mathematical problem-solving skills in Bhutanese grade nine students. Journal on Mathematics Education, 16(1), 51–72. https://doi.org/10.22342/jme.v16i1.pp51-72
  35. Švecová, V. (2024). Math Anxiety and its Relation to the Success of Mathematical Problems. TEM Journal, 13(1), 207–212. https://doi.org/10.18421/TEM131-21
  36. Taamneh, M. A., Díez-Palomar, J., & Mallart-Solaz, A. (2024). Examining tenth-grade students’ errors in applying Polya’s problem-solving approach to Pythagorean theorem. Eurasia Journal of Mathematics, Science and Technology Education, 20(12). https://doi.org/10.29333/ejmste/15707
  37. Tchounwou, M., Okoye, Ebele. C., & Iseguede, F. (2023). Comparison of the Efficacy of Metacognition on Students’ Academic Performance Between Usa, France, Australia, and China. Advances in Social Sciences Research Journal, 10(7), 252–271. https://doi.org/10.14738/assrj.107.14833
  38. Wutsqa, D. U., Prihastuti, P. P., Fauzan, M., & Listyani, E. (2024). Radial Basis Function Neural Network with ensemble clustering for modeling mathematics achievement in Indonesia based on cognitive and non-cognitive factors. Journal on Mathematics Education, 15(3), 751–770. https://doi.org/10.22342/jme.v15i3.pp751-770
  39. Zakariya, Y. F. (2022). Improving students’ mathematics self-efficacy: A systematic review of intervention studies. Frontiers in Psychology. https://doi.org/10.3389/fpsyg.2022.986622