Profile of Students' Refractive Thinking in Mathematical Problem Solving of Two-Variable Linear System

Fikriawan Fatoni, Imam Sujadi, Sri Subanti

Abstract


Refractive thinking is the thinking process to decide on several alternative solutions through reflection and critical thinking. The study is set is to describe the students' refractive thinking processes in solving mathematical problems of a two-variable linear system. This is qualitative research with a qualitative descriptive method. The collected data is analyzed through three stages, namely: reduction, presentation, and verification of conclusion. The results reveal that the refractive thinking process of students from two subjects in solving mathematical problems, namely the best solution is obtained that the subject's thinking process follows the flow of the refractive thinking process. It can be determined from several alternative solutions in solving mathematical problems by using mathematical work procedures by changing story problem into a mathematical model. So that, it can be conducted quickly and precisely through the identification of the problem, strategic, and evaluation in the refractive thinking process.


Keywords


Refractive Thinking; Problem-Solving; Math Problems

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References


Allen M J and Yan W M 1979 Introduction to Measurement Theory (California: Brooks/Cole Publishing Company)

Chance P 1986 Thinking in the Classroom: A Survey of Programs Teachers College Press, 1234 Amsterdam Ave., New York, NY 10027

Costa A L 1985 Developing minds: A resource book for teaching thinking Association for Supervision and Curriculum Development, 225 N Washington St., Alexandria, VA 22314

Creswell J W and Creswell J D 2018 Research design : qualitative, quantitative, and mixed methods approaches (Los Angeles : SAGE)

Downey G 2005 Presented at CIEE Conference, Miami, FL

Ennis RH 2011 Critical Thinking (NJ: Prentice-Hall)

Facione, P. A. 2013. Critical Thinking: What It Is and Why It Counts. Millbrae, CA: Measured Reasons and The California Academic Press

Gurol A 2011 Social and Educational Studies 3 387-402

Kolb D 1984 Experiential Learning: Experience As The Source of Learning and Development Englewood Cliffs, NJ: Prentice-Hall

Krulick S dan Rudnick JA 1995 Buku Sumber Baru untuk Pengajaran dan Pemecahan Masalah di Sekolah Dasar (Needam Heights: Allyn dan Bacon)

Lee 2003 Journal of the Korea Society of Mathematical Education Series D: Research in Mathematical Education, 3 (7), 163-189

Lipman 2013 Thinking in Education Cambridge University Press

Maslukha M Lukito A & Ekawati R 2018 Journal of Physics: Conference Series 1 947

Medeni T D & Medeni I T 2012 Journal of Business and Government Studies 4 (1), 55-64

Pagano M & Roselle L 2009 Interdisciplinary Journal of Study Abroad 18 217-229

Prayitno A 2014 Construction Theory of Critical Thinking As Process Towards Refraction Thinking In Mathematics Mathematics Education and Graph Theory

Prayitno A 2016 International Conference On Research, Implementation And Education Of Mathematics And Science (ICRIEMS)

Semil R 2006 Human and social Sciences Journal 1 28-36

Sugiyono 2016 Metode Penelitian Kuantitatif, Kualitatif dan R&D Bandung: Alfabeta

Taggart G L & Wilson A P 2005 Promoting reflective thinking in teachers: 50 action strategies. Corwin Press




DOI: http://dx.doi.org/10.18415/ijmmu.v8i4.2432

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