Cognitive Level Profile in Solving Mathematics Problem at Ten Grade of Senior High School Students with Low Ability

Khisna Yumniyati, Imam Sujadi, Diari Indriati


This research is motivated by the importance of problem solving skill for students in 21st century, whereas students' skill in solving mathematics problems is various in accordance their cognitive levels. Students’ cognitive levels in solving problems include; cognition; metacognition; and epistemic cognition. Cognitive level affects individual in understanding problem and deciding the right strategy to solve it. The purpose of this study is to describe cognitive levels of low-ability students. This study uses qualitative methods with task-based interviews. The material is three-variable linear equation system. The research subjects are two low-ability students at ten grade of State Senior High School in Pati Regency. The results show that the two subjects have weaknesses at each level, for example the two subjects are able to work on the given problems, but both subjects are unable to define equations, inequality, similarity, and dissimilarity correctly in the initial type of cognition level.


Cognition; Metacognition; Epistemic Cognition; Problem Solving; Mathematics

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Anderson, L., & Karthwohl, D. (2001). A Taxonomy for Learning Teaching and Assesing. New York: Longman.

Barak, M. (2013). Impacts of learning inventive problem solving principles. Students’ transition from systematic to heuristic problem solving. Instructional Science, 41, 657-679.

Berger, P., & Luckmann, T. (2005). Interpersonal Intellegence. Jakarta: Amara Books.

Desmita. (2011). Psikologi Perkembangan Peserta Didik. Bandung: PT Remaja Rosdakarya.

Flavell, J. (1976). Metacognition Aspects of Problem Solving: in Resnick, The Nature of Intelligence. Erlabaum: Hillsdale.

Gravemeijer. K. (1994). Developing Realistic Mathematics Education. Freudenthal Institute. Utrecht.

Kitchener, K. S. (1983). Cognition, Metacognition, and Epistemic Cognition: A three-Level Model of Cognitive Processing. Hum. Dev. 26, 222-232.

Krulik, S., & Rudnick, J. (1993). Reasoning and Problem Solving: A Handbook for Elementary School Teacher. Boston: Allyn & Bacon.

Lange Jzn, J. de. (1987). Mathematics, Insight and Meaning. Utrecht: OW&OC.

Mason, L., Boldrin, A., & Ariasi, N. (2009). Epistemic metacognition in context: evaluating and learning online information. Metacognition and Learning. 5, 67-90.

Moleong, L. J. (2007). Metodologi Penelitian Kualitatif. Bandung: PT Remaja Rosdakarya.

OECD. (2010). PISA 2012 Mathematical Framework. Paris: OECD.

Setianingrum, A., Sujadi, I., & Pramudya, I. (2017). The Process of Reflective Thinking in Mathematics Problem Solving Review from Cognitive Style. International Conferens Mathematics and Science Education (p. 358). Bandung: Universitas Pedidikan Indonesia.

Stacey, K. (2012). The International Assessment of Mathematical Literacy:

PISA 2012 Framework and Items (Eds). Proceedings of The 12th International Congress on Mathematical Education, 756-772.

Tarigan, D, E. (2012). Analisis Kemampuan Pemecahan Masalah Matematika Berdasarkan Langkah-Langkah Polya pada Materi Sistem Persamaan Linear Dua Variabel Bagi Siswa Kelas VIII SMP Negeri 9 Surakarta Ditinjau Dari Kemampuan Penalaran Siswa. Tesis. Surakarta: Universitas Sebelas Maret.

Wijaya, A. (2012). Pendidikan Matematika Realistik. Yogyakarta: Graha Ilmu

Yumniyati, K. (2018). Level-level Kognitif Siswa Kelas X SMA Negeri 1 Juwana Pati dalam Pemecahan Masalah Matematika pada Materi Sistem Persamaan Linear Tiga Variabel. Tesis. Surakarta: Universitas Sebelas Maret.

Zulkardi. (2002). Development a Learning Environment on Realistic Mathematics Education for Indonesian Student Teachers. Dissertation. University of Twente, Enschede. The Netherland.



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