Students' metacognition in solving non-routine problems

Muhammad Noor Kholid, Arina Ahadiyati

Abstract


Students’ metacognition abilities based on their aspects have different levels. Metacognition aspects had categorized into parts of awareness aspects, evaluation aspects, and aspects of regulation. This study aims to describe how students are metacognitive in solving non-routine problems based on awareness, evaluation, and regulation characteristics. This research is a descriptive qualitative study with a sampled class VIII A Junior High School Batik Special Program (PK) Surakarta, which consisted of six students. The instruments in this research are non-routine problems or tests, observation sheets, and interview guidelines. The questions validator in this research are two teachers and a Mathematics Education lecturer from the University of Muhammadiyah Surakarta. The data collection technique uses tests, observations, and interviews. The data analysis technique of research had carried out through three stages: data reduction, data presentation, and conclusion drawing. This study concluded that the student's metacognition of eighth grade in solving non-routine problems had not developed better. Only one student can ideally find the metacognition aspects of awareness, evaluation, and regulation. Compared to medium-capable students, students with high abilities can discover the metacognition aspects well. In comparison, students with low skills have not been able to find all indicators of metacognition. Based on the results, further research may discover students’ obstacles in implementing metacognition for mathematical problem-solving.


Keywords


Mathematics; Metacognition; Non-routine problems

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References


Abidin, Z. (2014). Proses metakognisi mahasiswa calon guru dalam memecahkan masalah matematika. Jurnal Riset Pendidikan Matematika, 2(1), 25–40.

Anggo, M., Salam, M., Suhar, & Santri, Y. (2014). Strategi untuk meningkatkan hasil belajar matematika siswa. Jurnal Nasional Pendidikan Matematika, 5(1), 84–91.

Cresswell, J. W. (2008). Educational research: Planning, conducting, and evaluating quantitative and qualitative research. Pearson Prentice Hall.

Creswell, J. (2012). Second edition qualitative inquiry & research design choosing among five approaches. Sage Publication.

Elita, G. S., Habibi, M., Putra, A., & Ulandari, N. (2019). Pengaruh pembelajaran problem based learning dengan pendekatan metakognisi terhadap kemampuan pemecahan masalah matematis. Jurnal Pendidikan Matematika, 8(3), 447–458.

Flavell, J. H. (1979). Metacognition and cognitive monitoring: A new area of cognitive-developmental inquiry. American Psychologist, 34(10), 906–911.

Flavell, J. H. (1999). Cognitive development: Children’s knowledge about the mind. Annual Review of Psychology, 50, 21–45.

Fuady, A. (2017). Berfikir reflektif dalam pembelajaran matematika. Jurnal Ilmiah Pendidikan Matematika, 1(2), 104–112.

Hacker, D. J., Dunlosky, J., Graesser, A. C., Williams, J. P., & Atkins, J. G. (2009). The role of metacognition in teaching reading comprehension to primary students. Handbook of Metacognition in Education Routledge.

Howard, B. C., Mcgee, S., Shia, R., & Hong, N. S. (2000). Metacognitive self-regulation and problem-solving: expanding the theory base through factor analysis. American Educational Research Association, 304, 1–6.

Huitt, W, G. (1997). Metacognition educational psychology interactive. Valdosta State University.

Ishartono, N., & Sufahani, S. (2019). A metacognition analysis of male and female pre-service teachers in making powerpoint (PPT) as a learning media. International Journal of Recent Technology and Engineering, 8(1), 1184–1190.

Izzatin, M., Waluyo, S. B., Rochmad, & Wardono. (2020). Students’ cognitive style in mathematical thinking process. Journal of Physics Conference Series, 1613(1), 1–4.

Kholid M. N.; Lestari, N. P. (2019). Metakognitif siswa dalam menyelesaikan soal matematika berbasis pisa pada konten space and shape. Prosiding Seminar Nasional MIPA Kolaborasi, 1(1), 121–132.

Kholid, M. N., Febrianto, & Maharani, S. (2019). Metakognisi siswa dalam menyelesaikan soal matematika berbasis pisa pada konten quantity. Seminar Nasional Matematika dan Pendidikan Matematika, 33–35.

Kholid, M. N., & Yuhana, N. D. (2019). Metakognisi mahasiswa dalam memecahkan masalah geometri analatik ruang ditinjau dari adversity quotient. Seminar Nasional Penelitian Pendidikan Matematika Universitas Muhammadiyah Tangerang, 178–179.

Kuzle, A. (2013). Patterns of metacognitive behavior during mathematics problem-solving in a dynamic geometry environment. International Electronic Journal of Mathematics Education, 8(1), 20–40.

Labuschagne, A. (2015). Qualitative research-airy fairy or fundamental?. The Qualitative Report, 8(1), 100–103.

Lusiana, R., Murtafiah, W., & Oktafian, F. (2020). Kemampuan metakognitif siswa dalam menyelesaikan permasalahan pada materi pola bilangan ditinjau dari brain dominance. Aksioma: Jurnal Program Studi Pendidikan Matematika, 9(4), 962-976.

Martinez, M. E. (2006). What is problem solving?. Phi Delta Kappan, 79(8), 696–699.

Masduki, Kholid, M. N., & Khotimah, R. P. (2020). Exploring students’ problem-solving ability and response towards metacognitive strategy in mathematics learning. Universal Journal of Educational Research, 8(8), 3698–3703.

Mayangsari, S. N., & Mahardhika, L. T. (2018). Scaffolding pada penyelesaian soal non rutin telescopic. Jurnal Ilmiah Edutic: Jurnal Pendidikan dan Informatika, 4(2), 44–52.

Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis. An Expanded Sourcebook.

Momeni, S. E. (2012). The effects of cognitive and metacognitive strategy instruction on the mathematical problem solving of middle school students with learning disabilities. National library of medicine, 2(10), 10145–10149.

Nanna, A. W. I., & Pratiwi, E. (2020). Students’ metacognitive barrier in problem solving. Al-Jabar : Jurnal Pendidikan Matematika, 11(1), 73–82.

Nugrahaningsih, T. K. (2012). Metakognisi siswa SMA kelas akselerasi dalam menyelesaikan masalah matematika. Jurnal Magistra, 24(82), 280–291.

Pandit, N. (1996). The creation of theory: A recent application of the grounded theory method. The Qualitative Report, 2(4), 1–15.

Purnomo, D. (2018). Pola dan perubahan metakognisis dalam pemecahan masalah matematis. Media Nusa Creative.

Purnomo, D., Nusantara, T., Subanji, S., & Rahardjo, S. (2017). The characteristic of the process of students’ metacognition in solving calculus problems. International Education Studies, 10(5), 13-25.

Putri, A. (2018). Analisis kemampuan pemecahan masalah rutin dan non-rutin pada materi aturan pencacahan. Jurnal Pendidikan Tambusai, 2(2), 890-896.

Rahayuningsih, S., Sirajuddin, S., & Nasrun, N. (2020). Cognitive flexibility: Exploring students’ problem-solving in elementary school mathematics learning. Journal of Research and Advances in Mathematics Education, 6(1), 59–70.

Selan, D., & Yunianta, T. N. H. (2017). Analisis kemampuan pemecahan masalah peserta didik kelas 8 berdasarkan tahapan ideal untuk materi spldv bentuk tidak rutin. Jurnal Satya Widya, 36(2), 133–143.

Setyadi, D. (2018). Proses metakognisi mahasiswa dalam memecahkan masalah matematika (studi kasus pada mahasiswa pendidikan matematika UKSW). Kreano: Jurnal Matematika Kreatif-Inovatif, 9(1), 93–99.

Setyaningrum, D. U., & Mampouw, H. L. (2020). Proses metakognisi siswa SMP dalam pemecahan masalah perbandingan senilai dan berbalik nilai. Mosharafa: Jurnal Pendidikan Matematika, 9(2), 275–286.

Sholihah, U. (2016). Membangun metakognisi siswa dalam memecahkan masalah matematika. Ta’allum: Jurnal Pendidikan Islam, 4(1), 83–100.

Suandito, B., Darmawijoyo, D., & Purwoko, P. (2013). Pengembangan soal matematika non rutin di SMA Xaverius 4 Palembang. Jurnal Pendidikan Matematika, 3(2), 1–13.

Sumitro, N. K., Sa’dijah, C., Raharjo, S., & Rahardi, R. (2019). The emergence of metacognitive activities through the scaffolding interaction. International Journal of Recent Technology and Engineering, 8(1C2), 665–671.

Sutama, Anif, S., Prayitno, H. J., & Sari, D. P. (2019). Metacognitive knowledge of mathematics education students in analytical geometry of space. Journal of Physics: Conference Series, 1211(1), 1-10.

Swanson, H. L. (1990). Influence of metacognitive knowledge and aptitude on problem solving. Journal of Educational Psychology, 82(2), 306–314.

Wilson, J. (2004). Towards the modeling of mathematical metacognition. Mathematics Education Research Journal, 16(2), 24–48.

Witkin, h. a. (1964). Origins of cognitive style. Harper and Row.

Wong, K. Y. (2007). Metacognitive awareness of problem solving among primary and secondary school students. Proceedings of the Redesigning Pedagogy: Culture, Knowledge and Understanding Conference, 5(5), 1–11.

Wrenn, J., and Wrenn, B. (2011). Enhancing learning by integrating theory and practice. International Journal of Teaching and Learning in Higher Education, 21(2), 258-265.

Wulan, R. R., Subanji, & Muksar, M. (2021). Metacognitive failure in constructing proof and how to scaffold it. Al-Jabar: Jurnal Pendidikan Matematika, 12(2), 295–314.

Yorulmaz, A., Uysal, H., & Çokçaliskan, H. (2021). Preservice primary school teachers’ metacognitive awareness and beliefs about mathematical problem solving. Journal of Research and Advances in Mathematics Education, 6(3), 239–259.

Yuwono, C. S. M. (2014). Peningkatan keterampilan metakognisi siswa dengan pembelajaran kooperatif jigsaw- modifikasi. Jurnal Santiaji Pendidikan, 4(1), 1-15.




DOI: http://dx.doi.org/10.24042/ajpm.v13i1.11776

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