Kemampuan Metakognitif Siswa dalam Menyelesaikan Soal Cerita Sistem Persamaan Linier Tiga Variabel
DOI:
10.29303/jm.v8i1.11454Published:
2026-04-02Downloads
Abstract
One of the important elements in successful problem solving is metacognition. One of the
mathematical problems is expressed in the form of a Three Variable Linear Equation System story
problem. This study is a type of qualitative research that aims to describe students' metacognitive
abilities as reviewed from the components and indicators of the Metacognitive Awareness
Inventory (MAI). The main instrument in this study is the researcher himself, while the supporting
instruments are the Three Variable Linear Equation System story problem test and interview
guidelines. The subject in this study was 1 (one) grade XI student who was selected based on the
results of solving the Three Variable Linear Equation System story problem and consideration of
the mathematics teacher's recommendations. The results of the study indicate that SB's
metacognitive ability in solving the Three Variable Linear Equation System story problem includes
components, namely (1) declarative knowledge, (2) procedural knowledge, (3) conditional
knowledge, (4) planning, (5) information management strategies, (6) comprehension monitoring,
(7) debugging strategies and evaluation.
Keywords:
Marzano's Taxonomy metacognitive Three-Variable Linear Equation System story problemsReferences
Amalia, R., & Sumarmo, U. (2021). The role of metacognition in students’ mathematical problem solving ability. Journal on Mathematics Education.
Creswell, J. W., & Poth, C. N. (2018). Qualitative inquiry and research design: Choosing among five approaches (4th ed.). Sage Publications.
Dunlosky, J., & Rawson, K. A. (2020). How cognitive psychology can inform evidence-based education reform. Policy Insights from the Behavioral and Brain Sciences, 7(1), 33–40. https://doi.org/10.1177/2372732219896715
Efklides, A. (2022). Affective and metacognitive self-regulation: A conceptual review. Educational Psychology Review, 34(2), 1–25. https://doi.org/10.1007/s10648-021-09626-8
Flavell, J. H. (1979). Metacognition and cognitive monitoring: A new area of cognitive–developmental inquiry. American Psychologist, 34(10), 906–911. https://doi.org/https://doi.org/10.1037/0003-066X.34.10.906
Hindrasti, N. E. K. (2025). Metacognitive in Learning: Conceptual, Instructional Strategies, and Assessment. Jurnal Pendidikan Anak, Vol. 14(No. 2), hal. 115-131.
Kemendikbud. (2022). Panduan Pembelajaran dan Asesmen. Badan Standar, Kurikulum, Dan Asesmen Pendidikan Kementerian Pendidikan, Kebudayaan, Riset, Dan Teknologi Republik Indonesia, 123.
Kusaka, S., & Claude Habimana, J. (2025). Metacognitive skills in collaborative problem solving: Case of secondary mathematics in Rwanda. Journal of Educational Research, 118(4), 368–375. https://doi.org/10.1080/00220671.2025.2486473
Lai, E. R. (2011). Metacognition : A Literature Review Research Report. Research Reports, April, 41. https://doi.org/10.2307/3069464
Lioe, L. T., Fai, H. O. K. A. I., & Hedberg, J. G. (2006). Students’ metacognitive problem-solving strategies in solving open-ended problems in pairs. Redesigning Pedagogy: Culture, Knowledge and Understanding, 243–259.
Lisa Dwi Afri, R. W. (2021). Analisis Metakognisi Siswa Kelas X Sma Dalam Pemecahan Masalah Sistem Persamaan Linear Tiga Variabel. 10(1), 110–124.
Loka, A. V., & Rini Setianingsih. (2021). Profil Metakognisi Siswa Sma Dalam Menyelesaikan Soal Cerita Pada Materi Sistem Persamaan Linear Tiga Variabel Ditinjau Dari Kemampuan Matematika Oleh: Jurnal Penelitian Pendidikan Matematika Dan Sains, 5(1), 37–42.
Moleong, L. J. (2021). Metodologi penelitian kualitatif (Edisi revisi). PT Remaja Rosdakarya.
National Council of Teachers of Mathematics. (2000). Principles and Standards for School Mathematics. Reston, VA: NCTM.
Paipinan, M. (2015). Profil Metakognisi Mahasiswa Calon Guru Matematika Dalam Menyelesaikan Masalah Terbuka Geometri Ditinjau Dari Perbedaan Gender. Jurnal Ilmiah Matematika Dan Pembelajarannya, 1, 67–79. https://r.search.yahoo.com/_ylt=AwrKAUsZAJ1mYu4vjCHLQwx.;_ylu=Y29sbwNzZzMEcG9zAzEEdnRpZAMEc2VjA3Ny/RV=2/RE=1721594010/RO=10/RU=https%3A%2F%2Fejournal.uncen.ac.id%2Findex.php%2FJIMP%2Farticle%2Fview%2F179%2F161/RK=2/RS=uIlN7swVott0VdwUvvB5E1Uk2sY-
Palenti, C. D., Education, N., Bengkulu, U., Ismawati, D., Education, N., Bengkulu, U., Yunita, W., Education, N., Bengkulu, U., Pamungkas, E. A., Education, N., & Bengkulu, U. (2025). The Effect of Metacognitive Learning on Improving Students’ Critical Thinking Abilities in Learning Needs Identification Learning. 4(2), 177–194.
Pertiwi, A. H., Madnasir, & Rosilawati, W. (2025). Analisis Tantangan dan Upaya Penguatan Literasi Keuangan dalam Implementasi Pasar Modal Syariah : Perspektif Bisnis Islam. Jurnal Disrupsi Bisnis, 8(3), 373–383.
Riani, Asyril, & Untu, Z. (2022). ABSTRAK Penelitian ini bertujuan untuk mengetahui metakognisi siswa SD, SMP, dan SMA dalam memecahkan masalah matematika berdasarkan hasil penelitian-penelitian sebelumnya. Jenis penelitian ini adalah penelitian kepustakaan dengan metode. Primatika, Jurnal, 11, 51–60.
Risnanosanti. (2008). Kemampuan Metakognitif Siswa Dalam Pembelajaran. Phthagoras, 4(1), 86–98.
Rittle-Johnson, B., & Schneider, M. (2014). Developing Conceptual and Procedural Knowledge of Mathematics. The Oxford Handbook of Numerical Cognition, 1118–1134. https://doi.org/10.1093/oxfordhb/9780199642342.013.014
Rivas, S. F., Saiz, C., & Almeida, L. S. (2022). Metacognition and critical thinking: Their relationship and development in higher education. Frontiers in Psychology, 13, 913219. https://doi.org/10.3389/fpsyg.2022.913219
Robert J. Marzano & John S. Kendal. (2007). The New Taxonomy of Educational Objectives. Corwin Press.
Schraw, G., & Dennison, R. S. (1994). Assessing metacognitive awareness. Contemporary Educational Psychology, 19(4), 460–475. https://doi.org/https://doi.org/10.1006/ceps.1994.1033
Schunk, D. H. (2008). Learning theories: An educational perspective (5th ed.). Pearson Education.
Setyaningsih, B., & Sumarni, S. (2023). Metacognition Perceived in the Education and Metacognition Perceived in the Education and English Language Education : A Systematic Literature Review. English Language and Literature International Conference (ELLiC) Proceedings, 6(1), 2579–7549. https://jurnal.unimus.ac.id/index.php/ELLIC/index
Sugiyono. (2022). Metode penelitian kuantitatif, kualitatif, dan R&D. Alfabeta.
Surya, E., Syahputra, E., & Juniati, D. (2022). The effect of metacognitive strategies on students’ mathematical problem solving ability. International Journal of Instruction.
Suryaningtyas, S., & Setyaningrum, W. (2020). Analisis kemampuan metakognitif siswa SMA kelas XI program IPA dalam pemecahan masalah matematika. Jurnal Riset Pendidikan Matematika, 7(1), 74–87. https://doi.org/10.21831/jrpm.v7i1.16049
Varah Umay’ah Husain. (2025). Kemampuan Metakognisi Siswa Dalam Memecahkan Masalah Sistem Persamaan Linear Tiga Variabel Pada Siswa Kelas X Sma Negeri 15 Makassar. 1976, 70–77.
Veenman, M. V. J. (2021). Metacognition in education: Current trends and future directions. Learning and Instruction, 72, 101205. https://doi.org/10.1016/j.learninstruc.2020.101205
Vessonen, T., Dahlberg, M., Hellstrand, H., Widlund, A., Korhonen, J., Aunio, P., & Laine, A. (2024). Task Characteristics Associated with Mathematical Word Problem-Solving Performance Among Elementary School-Aged Children: A Systematic Review and Meta-Analysis. In Educational Psychology Review (Vol. 36, Issue 4). Springer US. https://doi.org/10.1007/s10648-024-09954-2
Yarmayani, A. (2024). Deskripsi Pengetahuan Metakognisi Siswa Kelas Xi Sma Negeri Kota Jambi. Jurnal Math-UMB.EDU, 11(3), 266–271. https://doi.org/10.36085/mathumbedu.v11i3.6547
Zakiah, N. E. (2020). Level kemampuan metakognitif siswa dalam pembelajaran matematika berdasarkan gaya kognitif. Jurnal Riset Pendidikan Matematika, 7(2), 132–147. https://doi.org/10.21831/jrpm.v7i2.30458
Zhao, Y., & Saleh, S. (2025). Metacognition and Mathematical Problem-solving: An Empirical Investigation into Series Problems with Junior High School Students. Mathematics Education Journals, 9(1), 90–101. https://doi.org/10.22219/mej.v9i1.39924
Zimmerman, B. J. (2020). Self-regulated learning and academic achievement: An overview. Educational Psychologist, 55(1), 1–10. https://doi.org/10.1080/00461520.2019.1687419
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