Metacognition Profile of Vocational High School Students in Mathematics Problem Solving Based on Logical Thinking Skills

Mu'jizatin Fadiana, Andriani Andriani


This study describes the profile of vocational high school students' metacognitive abilities in mathematics problem solving based on their logical thinking abilities. This research was conducted using descriptive research methods with a qualitative approach. The data was collected using a logical thinking ability test and problem-solving test and. Three students were selected who met different logical thinking stages: the abstract operation stage, the transition stage, and the concrete operational stage. The results showed the subject of the abstract operation stage fulfilled the metacognition stage by re-describing the given problem, knowing the relationship between what was known and what was asked, working on the problem by writing down what was known and asked and entering into the formula and also checking the answer. Transition stage subjects fulfill the metacognition stage by describing initial information and instructions, performing problem-solving steps, and counting to check completed work. The subject of concrete operations fulfills the metacognition stage by stating information and instructions that are non-specific and detailed. The subject has not been able to state the proper steps to ensure the information's conformity with the problem, and the subject sees what is done by calculating.


Problem Solving, Metacognition, Logical Thinking

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Akben, N. (2020). Effects of the Problem-Posing Approach on Students’ Problem Solving Skills and Metacognitive Awareness in Science Education. Research in Science Education.

Balcomb, F. K., & Gerken, L. A. (2008). Three-year-old children can access their own memory to guide responses on a visual matching task. Developmental Science.

Bitner, B. L. (1991). Formal operational reasoning modes: Predictors of critical thinking abilities and grades assigned by teachers in science and mathematics for students in grades nine through twelve. Journal of Research in Science Teaching.

Bunce, D. M., & Hutchinson, K. D. (1993). The use of the GALT (Group Assessment of Logical Thinking) as a predictor of academic success in college chemistry. Journal of Chemical Education, 70(3), 183.

Fadiana, M., Amin, S. M., Lukito, A., Wardhono, A., & Aishah, S. (2019). Assessment of seventh grade students’ capacity of logical thinking. Jurnal Pendidikan IPA Indonesia, 8(1), 75–80.

Fisher, J., & Wood, E. (2012). Changing educational practice in the early years through practitionerled action research: An Adult-Child Interaction Project. International Journal of Early Years Education.

Hassan, N. M., & Rahman, S. (2017). Problem solving skills, metacognitive awareness, and mathematics achievement: A mediation model. New Educational Review.

Hastuti, I. D., Nusantara, T., & Susanto, H. (2016). Constructive Metacognitive Activity Shift in Mathematical Problem Solving. Educational Research and Reviews.

Khairunnisa, R., & Setyaningsih, N. (2017). Analisis Metakognisi Siswa Dalam Pemecahan Masalah Aritmatika Sosial Ditinjau Dari Perbedaan Gender. Konferensi Nasional Penelitian Matematika Dan Pembelajarannya II.

Kincal, R. Y., & Yazgan, A. D. (2010). Investigating the Formal Operational Thinking Skills of 7th and 8th Grade Primary School Students According to Some Variables. Ilkogretim Online.

Larkin, S. (2006). Collaborative group work and individual development of metacognition in the early years. Research in Science Education.

Moore, J. C. (2012). Transitional to Formal Operational: Using Authentic Research Experiences to Get Non-Science Students to Think More Like Scientists. European J Of Physics Education.

Novita, T., Widada, W., & Haji, S. (2018). Metakognisi Siswa dalam Pemecahan Masalah Matematika Siswa SMA dalam Pembelajaran Matematika Berorientasi Etnomatematika Rejang Lebong. Jurnal Pendidikan Matematika Raflesia.

Nugrahaningsih, T. K. (2012). Metakognisi Siswa Sma Kelas Akselerasi Dalam Menyelesaikan Masalah Matematika. Magistra.

Nur Aini, A. (2017). Profil Metakognisi Siswa Dalam Memecahkan Masalah Matematika Ditinjau Dari Kemampuan Matematika. MATHEdunesa.

Ojose, B. (2015). Applying Piaget’s Theory of Cognitive Development to Mathematics Instruction. The Mathematics Educator.

Panaoura, A., & Philippou, G. (2007). The developmental change of young pupils’ metacognitive ability in mathematics in relation to their cognitive abilities. Cognitive Development.

Sandi-Urena, S., Cooper, M. M., & Stevens, R. H. (2011). Enhancement of metacognition use and awareness by means of a collaborative intervention. International Journal of Science Education.

Sart, G. (2014). The Effects of the Development of Metacognition on Project-based Learning. Procedia - Social and Behavioral Sciences.

Setyadi, D. (2018). Proses Metakognisi Mahasiswa dalam Memecahkan Masalah Matematika (Studi Kasus Pada Mahasiswa Pendidikan Matematika UKSW). Kreano, Jurnal Matematika Kreatif-Inovatif.

Syahbana, A. (2012). Peningkatan Kemampuan Berpikir Kritismatematis Siswa Smpmelalui Pendekatan Contextual Teaching And Learning Ali. Edumatica.

Wismath, S. L., & Orr, D. (2015). Collaborative Learning in Problem Solving: A Case Study in Metacognitive Learning. The Canadian Journal for the Scholarship of Teaching and Learning.



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