Metakognisi Siswa Operasional Konkret Dalam Pemecahan Masalah Matematika

Mu'jizatin Fadiana
Andriani Andriani


Vocational High School students should have their cognitive development stage in formal operations. However, there are still vocational high school students whose cognitive development stages are in concrete operations. The purpose of this study was to determine the students' concrete operational metacognition in solving mathematical problems. The research method used is descriptive qualitative. The research subjects were two students who were taken using purposive sampling. The research instrument used was the logical thinking ability test, problem-solving tests and metacognition interview guidelines. The data analysis stages used were examining all data, classifying the level of students' logical thinking abilities, selecting concrete operational students to be used as research subjects, reviewing the results of concrete operational student metacognition work in solving mathematical problems, verifying data and data sources that had been classified and transcribed in presentation or exposure to data. The results showed that concrete operational students carried out cognitive regulation in the step of understanding problems, implementing plans and re-examining solutions that had been produced. The metacognition skill component appeared at all three steps. Only the step of making a plan that does not occur properly regulation of cognition. It can be concluded that concrete operational students who are in grade X of vocational high school have good metacognition skills, but are weak in problem solving abilities.



Metacognition; Mathematical Problems


Abdullah, A.H., dkk. 2015. Analysis of Students’ Errors in Solving Higher Order Thinking Skills (HOTS) Problems for the Topic of Fraction. Asian Social Science, 11 (21): 133-142.

Abdullah, A. H., & Zakaria, E. 2013. Enhancing Students’ Level of Geometric Thinking through van Hiele’s Phase-Based Learning. Indian Journal of Science and Technology, 6 (5) : 1-15.

Agustina, M. L. 2013. Identifikasi Tingkat Metakognisi Siswa Dalam Memecahkan Masalah Matematika Berdasarkan Perbedaan Skor Matematika. MATHEdunesa, 2 (1) : 1-8.

Akbar, dkk. 2017. Analisis Kemampuan Pemecahan Masalah Dan Disposisi Matematik Siswa Kelas XI SMA Putra Juang Dalam Materi Peluang. Jurnal Cendekia : Jurnal Pendidikan Matematika, 2(1), 144-153.

Aminah, dkk. 2011. The Potency Of Metacognitive Learning To Foster Mathematical Logical Thinking. International Seminar and the Fourth National Conference on Mathematics Education 2011, 345-356.

Anggo, M. 2011. Pelibatan Metakognisi Dalam Pemecahan Masalah Matematika. Edumatica, 1 (1).

Annamma, S. A. 2015. Whiteness as Property: Innocence and Ability in Teacher Education. Urban Review.

Balcomb, dkk. 2008. Three-Year-Old Children Can Access Their Own Memory to Guide Responses on a Visual Matching Task. Developmental Science, 11(5), 50-60

Bunce, D. M. & Kira D. H. 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.

Desoete, A. 2009. Metacognitive Prediction and Evaluation Skills and Mathematical Learning in Third-Grade Students. Educational Research and Evaluation, 15(5), 435-446.

Desoete, dkk. 2006. Metacognitive Skills in Belgian Third Grade Children (Age 8 to 9) with and without Mathematical Learning Disabilities. Metacognition and Learning, 1(2), 119-135

Effendi, L. A. 2012. Pembelajaran Matematika Dengan Metode Penemuan Terbimbing Untuk Meningkatkan Kemampuan Representasi Dan Pemecahan Masalah Matematis Siswa SMP. Jurnal Penelitian Pendidikan, 13(2), 1-10

Elstad, dkk. 2017. Perceptions of Digital Competency among Student Teachers: Contributing to the Development of Student Teachers’ Instructional Self-Efficacy in Technology-Rich Classrooms. Education Sciences, 7(1), 27.

Fadiana, M. S., dkk. 2019. Assessment of Seventh Grade Students’ Capacity of Logical Thinking. Jurnal Pendidikan IPA Indonesia, 8(1),75–80.

Fadiana, M. S., dkk. 2019. How Concrete Operational Student Generalize the Pattern?: Use Semiotic Perspective. in Journal of Physics: Conference Series.

Fadiana, M. 2015. Math Learning Model That Accommodates Cognitive Style to Build Problem-Solving Skills. Higher Education Studies, 5(4): 86.

Fadiana, M. 2016. Strategi Generalisasi Pola pada Siswa Kelas VII. Prosiding Seminar Nasional Matematika X Universitas Negeri Semarang 2016, 230-240.

Hasibuan, dkk. 2018. Development of Learning Materials Based on Realistic Mathematics Education to Improve Problem Solving Ability and Student Learning Independence. International Electronic Journal of Mathematics Education, 14(1), 243-252.

Kincal, dkk. 2010. Investigating the Formal Operational Thinking Skills of 7th and 8th Grade Primary School Students According to Some Variables. Ilkogretim Online, 9 (2).

Larkin, S. 2006. Collaborative Group Work and Individual Development of Metacognition in the Early Years. Research in Science Education, 36(1), 7-27.

Miles, dkk. 2014. Qualitative Data Analysis: A Methods Sourcebook. Third Edition.

Minarni, dkk. 2016. Mathematical Understanding and Representation Ability of Public Junior High School in North Sumatra. Journal on Mathematics Education, 7(1), 45-58.

Nadapdap, dkk. 2017. Developing Physics Problem-Solving Skill Test for Grade X Students of Senior High School. Research and Evaluation in Education, 3(2), 114-123.

Ojose, B. 2015. Applying Piaget’s Theory of Cognitive Development to Mathematics Instruction. The Mathematics Educator, 18 (1).

Othman, dkk. 2010. Enhancing Logical Thinking among Computer Science Students through Cooperative Learning. Gading Business and Management Journal, 14, 1–10.

Phonapichat, dkk. 2014. An Analysis of Elementary School Students’ Difficulties in Mathematical Problem Solving. Procedia - Social and Behavioral Sciences, 116: 3169-3174.

Puadi, dkk. 2018. Implementasi PBL Berbantuan GSP Software Terhadap Peningkatan Kemampuan Pemecahan Masalah Matematik Siswa. IndoMath: Indonesia Mathematics Education, 1(1), 19-26.

Schraw, G. 2010. Measuring Self-Regulation in Computer-Based Learning Environments. Educational Psychologist, 45(4), 258-266.

Setyadi, D. 2017. Metacognition Rocess of Students Class X Senior High School in Mathematic Problem Solving. IOSR Journal of Research & Method in Education.

Siagian, dkk. 2019. Development of Learning Materials Oriented on Problem-Based Learning Model to Improve Students’ Mathematical Problem Solving Ability and Metacognition Ability. International Electronic Journal of Mathematics Education, 14(2), 331-340.

Su, dkk. 2016. Mathematical Teaching Strategies: Pathways to Critical Thinking and Metacognition. International Journal of Research in Education and Science, 2(1), 190-200.

Suherman, E., dkk. 2011. Strategi Pembelajaran Matematika Kontemporer. Bandung: PT Remaja Rosdakarya.

Surya, dkk. 2017. Improving Mathematical Problem-Solving Ability and Self-Confidence of High School Students through Contextual Learning Model. Journal on Mathematics Education, 8(1), 85-94.

Widodo, dkk. 2017. Guardian Student Thinking Process in Resolving Issues Divergence. Journal of Education and Learning (EduLearn), 11(4), 432-438.

Yenita R., & Eliya A. 2019. Model Pembelajaran Berbasis Masalah Untuk Meningkatkan Kemampuan Pemecahan Masalah Matematis. Talenta Conference Series: Science and Technology (ST), 2(2).


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