Analysis of Metacognitive Ability in Mathematics Problem Solving of SMA Students at Ngemplak Boyolali

Meilani Safitri, Nunuk Suryani

Abstract

Metacognitive ability is closely related to problem solving ability. This research is a survey research involving 150 students of class X from four high schools in Ngemplak Boyolali. The purpose of this study is to describe the results of the analysis of metacognitive abilities in solving mathematical problems. Data was collected using a Metacognitive Awareness Inventory (MAI) questionnaire. Data analysis was carried out quantitatively and qualitatively. The results showed that 23% of students had high metacognitive abilities, 20% of students had moderate metacognitive abilities, and 57% of students had low metacognitive abilities. Most students who have high metacognitive abilities are able to use their metacognitive abilities in solving mathematical problems. Almost all students who have low metacognitive abilities do not use their metacognitive abilities in solving mathematical problems. Overall, students are less than optimal in using metacognitive abilities when solving mathematical problems.

Keywords

metacognitive, mathematics, problem solving

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References

Anggo, M. (2011). Pemecahan masalah matematika kontekstual untuk meningkatkan kemampuan metakognisi siswa. Edumatica: Jurnal Pendidikan Matematika, 1(2). https://doi.org/10.22437/edumatica.v1i02.182

Baroody, A. J., & Coslick, R. T. (1993). Problem solving, reasoning, and communicating, K-8 : helping children think mathematically. New York: Merrill.

Charles, R., Lester, F., & O’Daffer, P. (1987). How to evaluate progress in problem solving. National Council of Teachers of Mathematics.

Cromley, J. (2000). Learning to think, learning to learn: What the science of thinking and learning has to offer adult education. National Institute for Literacy.

Flavell, J. H. (1979). Metacognition and cognitive monitoring: A new area of cognitive-developmental inquiry. American Psychologist, 34(10), 906–911. https://doi.org/10.1037/0003-066X.34.10.906

Händel, M., Artelt, C., & Weinert, S. (2013). Assessing metacognitive knowledge: Development and evaluation of a test instrument. Journal for Educational Research Online, 5(2), 162–188. https://www.pedocs.de/frontdoor.php?source_opus=8429

Iftikhar, S. (2015). The importance of metacognitive strategies to enhance reading comprehension skills of learners: A self-directed learning approach. Journal of English Language and Literature, 2(3), 191. https://doi.org/10.17722/jell.v2i3.83

Larkin, S. (2009). Metacognition in young children. Routledge. https://doi.org/10.4324/9780203873373

Lestari, K. E., & Yudhanegara, M. R. (2018). Penelitian Pendidikan Matematika. Bandung: PT. Refika Aditama.

Lioe, L. T., Fai, H. K., & Hedberg, J. G. (2006). Students’ metacognitive problem-solving strategies in solving openended problems in Pairs. In Redesigning Pedagogy (pp. 243–259). Brill | Sense. https://doi.org/10.1163/9789087900977_018

Mahmudi, A. (2013). Strategi metakognitif dalam pembelajaran matematika. Prosiding Seminar Nasional Penelitian, Pendidikan Dan Penerapan MIPA, UNY, 18.

Mok, M. M. C., Lung, C. L., Cheng, D. P. W., Cheung, R. H. P., & Ng, M. L. (2006). Self‐assessment in higher education: experience in using a metacognitive approach in five case studies. Assessment & Evaluation in Higher Education, 31(4), 415–433. https://doi.org/10.1080/02602930600679100

National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. National Council of Teachers of Mathematics.

Novitasari & Wilujeng. (2018). Analisis Kemampuan Pemecahan Masalah Matematika Siswa SMP Negeri 10 Tangerang. Prima Jurnal Pendidikan Matematika 2(2):137. DOI: 10.31000/prima.v2i2.461

Ormrod, J. E. (2009). Principles of educational psychology. Toronto: Pearson Prentice Hall.

Özcan, Z. Ç. (2014). Assessment of metacognition in mathematics: which one of two methods is a better predictor of mathematics achievement? International Online Journal of Educational Sciences, 6(1), 49–57. https://doi.org/10.15345/iojes.2014.01.006

Özsoy, G., & Ataman, A. (2017). The effect of metacognitive strategy training on mathematical problem solving achievement. International Electronic Journal of Elementary Education, 1(2), 67–82. https://www.iejee.com/index.php/IEJEE/article/view/278

Piaget, J., & Inhelder, B. (1969). The psychology of the child (2nd ed.). New York: Basic Books.

Pólya, G. (2014). How to solve it: A new aspect of mathematical method. Princeton University Press.

Purwaningrum, J. P. 2019. Kajian Masalah Pendidikan Matematika. Kudus: Universitas Muria Kudus.

Risnanosanti, R. (2008). Melatih kemampuan metakognitif siswa dalam pembelajaran matematika. Prosiding Seminar Nasional Matematika dan Pendidikan Matematika, FMIPA, Universitas Negeri Yogyakarta (pp. 115-123). http://eprints.uny.ac.id/id/eprint/6915

Schneider, W., & Artelt, C. (2010). Metacognition and mathematics education. ZDM Mathematics Education, 42, 149-161. https://doi.org/10.1007/s11858-010-0240-2

Schraw, G., & Dennison, R. S. (1994). Assessing metacognitive awareness. Contemporary Educational Psychology, 19(4), 460–475. https://doi.org/10.1006/ceps.1994.1033

Sugiyono, S. (2014). Metode penelitian kuantitatif, kualitatif, dan R&D. Bandung: Alfabeta.

Van de Walle, J. A. (2007). Elementary and middle school mathematics. Boston: Pearson.

DOI: https://doi.org/10.20961/jmme.v12i2.64432

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