American Journal of Educational Research
ISSN (Print): 2327-6126 ISSN (Online): 2327-6150 Website: https://www.sciepub.com/journal/education Editor-in-chief: Ratko Pavlović
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American Journal of Educational Research. 2019, 7(11), 780-793
DOI: 10.12691/education-7-11-5
Open AccessArticle

Analysis of Metacognitive Skills in Solving Mathematical Problems Reviewed from Students’ Learning Style

Khairatun Nisa Rambe1, , Bornok Sinaga1 and Asmin1

1Postgraduate Study Program, Universitas Negeri Medan, Indonesia

Pub. Date: November 10, 2019

Cite this paper:
Khairatun Nisa Rambe, Bornok Sinaga and Asmin. Analysis of Metacognitive Skills in Solving Mathematical Problems Reviewed from Students’ Learning Style. American Journal of Educational Research. 2019; 7(11):780-793. doi: 10.12691/education-7-11-5

Abstract

This study aims to analyze: (1) the level of metacognitive skills in mathematical problem solving in terms of student learning styles; (2) metacognition difficulties experienced by students in solving mathematical problems in terms of student learning styles. This research is a descriptive qualitative research. The subjects of this study were 34 students of MTs Negeri 1 Labuhanbatu Selatan, then the interview subject was raised based on Honey & Mumford's learning style namely theory, pragmatics, reflector, and activist learning styles. Based on the results of the study it was found that: (1) There were 13 people (38,23%) students with reflector learning styles, students with reflector learning styles at the level of metacognition ability strategic use had high and moderate problem solving abilities. At the level of metacognition ability aware use has moderate solving abilities. At the level of metacognition ability tacit use has low problem solving abilities; There are 8 people (23.52%) students with pragmatic learning styles, students with pragmatic learning styles at the level of reflective and strategic use metacognition ability have high problem solving abilities. At the level of metacognition ability aware use have moderate problem solving abilities. At the level of metacognition ability tacit use students have low problem solving abilities; There are 10 students (29,41%) with theorist learning style, students with theorist learning style at the level of metacognition ability aware use have moderate problem solving abilities. At the level of metacognition ability tacit use has low problem solving abilities; and there are 3 students (8,82%) with activist learning styles, students with strategic use metacognition ability levels have high problem solving abilities, and the level of metacognition ability aware uses have medium problem solving abilities. (2) Metacognition difficulties experienced by students with pragmatic learning styles, reflectors, and theorists in mathematical problem solving are: a) Difficulty of facts, namely representing mathematical symbols to design mathematical models of the given problem; b) Concept difficulties, namely difficulties in applying the method of substitution, elimination, mixed methods, and determinant methods to solve problems; c) The difficulty of principle, namely the difficulty in applying mathematical formulas and rules as well as the difficulty in connecting the concepts given to solve problems and d) Difficulty of procedures, namely difficulty in presenting steps to solve problems in an orderly and correct manner, inaccuracy in presenting problem solving, as well as difficulties in devising problem solving strategies effectively and efficiently.

Keywords:
metacognition ability mathematical problem solving honey & mumford learning style

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References:

[1]  Saragih, S., & Napitupulu, E., Developing Student-Centered Learning Models to Improve High Order Mathematical Thinking Ability. International Education Studies, 8(6). 104-112. May, 2015.
 
[2]  Syahputra, E., Panjaitan, E., Surya, E., Lubis, J.N. (2017). Analysis Mathematical Problem Solving Skills of Student of the Grade VIII-2 Junior High School Bilah Hulu Labuhan Batu. International Journal of Novel Research in Education and Learning. 4(2): 131-137
 
[3]  Mulyono & Hadiyanti., R., Analysis of mathematical problem-solving ability based on metacognition on problem-based learning. International Conference on Mathematics, Science and Education (ICMSE). Series 983 (2018). 1-6. 2018.
 
[4]  Karatas, I & Baki, A. The Effect of Learning Environments Based on Problem Solving on Students’ Achievements of Problem Solving. International Electronic Journal of Elementary Education. 5 (3) : 249-268. Agustus 2017
 
[5]  Alzahrani, K. S., Metacognition and Cooperative Learning in the Mathematics Classroom. International Electronic Journal Of Mathematics Education, 12(3): 475-491. 2017.
 
[6]  Anderson, O.W. & Krathwohl, D.R., A Taxonomy For Learning, Teaching, and Assessing (A Revision of Bloom’s Taxonomy of Educational Objectives). New York: Addision Wesley Longman, Inc. 2001.
 
[7]  Rawa, N. R., Tingkat Metakognisi Mahasiswa Program Studi Pgsd Pada Pemecahan Masalah Matematika Ditinjau Dari Gaya Belajar Introvert-Extrovert. Jurnal Tunas Bangsa. 4 (2). 2017.
 
[8]  Rahmawati, K. D., dkk., Analisis Kemampuan Metakognisi Siswa dalam Menyelesaikan Soal Cerita Matematika Berbasis Polya Subpokok Bahasan PLSV Kelas VII-A SMP Negeri 3 Jember. Artikel Ilmiah Mahasiswa. 2015.
 
[9]  Yeni, E. M., Kesulitan Belajar Matematika Di Sekolah Dasar. JUPENDAS, 2(2): 1-10. 2015.
 
[10]  Chatib, M., Orangtuanya Manusia: Melejitkan Potensi dan Kecerdasan dengan Menghargai Fitrah Setiap Anak. Bandung: PT Mizan Pustaka. 2014.
 
[11]  Honey, P. & Mumford, A., The Manual of Learning Styles (3rd ed.). Peter Honey Publications Ltd, Maidenhead. 1992.
 
[12]  Carns, A.W. & Carns, M.R., Teaching Study Skills, Cognitive Strategiesand School Metacognitive Skills through Self-Diagnosed Learning Styles. Counselor. 38(5): 341– 346. 1991.
 
[13]  Syam, S., Ulfiani, R., & Nursalam., Pengaruh Pengetahuan Metakognisi Dan Gaya Belajar Visual Terhadap Kemampuan Pemecahan Masalah Matematika Siswa Kelas Ix Smp Negeri 2 Barombong Kabupaten Gowa. Jurnal Matematika dan Pembelajaran, 4 (2): 231-244. 2016.
 
[14]  Zulyanty, M., Ipung.Y., & Makbul. M., Metakognisi Siswa Dengan Gaya Belajar Introvert Dalam Memecahkan Masalah Matematika. Jurnal Kajian Pembelajaran Matematika, 1 (1): 64-71. 2017.
 
[15]  Aljebri, N. M., & Gheith. E., University Students’ Level of Metacognitive Thinking and their Ability to Solve Problems. American International Journal of Contemporary Research, 5(3), 121-134. 2015.
 
[16]  Suyono, & Hariyanto., Belajar dan Pembelajaran. Surabaya: Remaja Rosdakarya. 2015.
 
[17]  Garner-O, L. & Harrison, S., An Investigation of the Learning Style and Study Habits of Chemistry Undergraduate in Barbados and their Effect ad Predictors of Academic Achivement in Chemical Group Theory. Journal of Education and Social Research, 2 (3):107-122. 2013.
 
[18]  Sugiyono., Metode Penelitian Kuantitatif, Kualitatif, Dan R&D. Bandung: Penerbit Alfabeta. 2016.
 
[19]  Kemdikbud., Permendikbud No. 64 Tahun 2013 tentang Standar Isi Pendidikan Dasar dan Menengah. Jakarta: Kemdikbud. 2016.
 
[20]  Siagian, M. V., Sahat. S., & Bornok. S., 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. 2019.
 
[21]  Aljebri, N. M., & Gheith. E., University Students’ Level of Metacognitive Thinking and their Ability to Solve Problems. American International Journal of Contemporary Research, 5(3), 121-134. 2015.
 
[22]  Zakirman., Pengelompokkan Gaya Belajar Mahasiswa Menurut Teori Honey Mumford Berdasarkan Intensitas Kunjungan Pustaka. Jurnal Bimbingan dan Konseling. 4(1), 1-74. 2017.
 
[23]  Arum, S. Z. P., Profil Pemecahan Masalah Matematika Siswa Sma Ditinjau Dari Gaya Belajar Model Honey-Mumford. MATHEdunesa Jurnal Ilmiah Pendidikan Matematika. 3(5). 2016.
 
[24]  Zolghadri, P., Feyzollah. S., Ali. T., Nasram. S., Nasrollah. V., & Afshar. R., On the Role of Learning Styles Components (Objective, Experience, Reflective Observation, Abstract, Conceptualization, and Active Experimentation) on Studens’s Mathematics Performance. American Journal of Educational Research, 2015, 3(9), 1142 -1148. 2015.