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pp. 7278-7285 | Article Number: ijese.2016.546
Published Online: September 20, 2016
Abstract
Several studies suggest that most students are not in the same level of development (Slavin, 2008). From concrete operation level to formal operation level, students experience lateness in the transition phase. Consequently, students feel difficulty in solving mathematics problems. Method research is a qualitatively descriptive-explorative research aimed at comprehending the process of mathematics problem solving based on students’ thinking level. Formal subject described in a structured manner so that there is no information that eliminated in the calculation process. While in transition subject, information which is constructed is only based on empirical knowledge. And on a concrete subject, thinking process can directly determine the solution of a problem. Students in formal thinking level are able to plan a problem solving by relating an information that is obtained to an information which is logically asked. Transitional thinking level are able to visualise the problems logically when the context of the problems are closely related to the experience they have. And concrete thinking level is only able t plan a problem solving when the problem can be immediately and easily analysed
Keywords: problem solving, logical level, formal subject, transition subject, concrete subject
References
Alimuddin. (2012). Proses Berpikir Kreatif Mahasiswa Calon Guru Kreatif Dalam Pemecahan Masalah Matematika Berdasarkan Gender [Creative Thinking Process of Students Candidate Creative Teacher in Mathematical Problem Solving by Gender] (Unpublished doctoral dissertation). Surabaya: PPs Unesa Surabaya.
Anderson, L. W., & Krathwohl, D. R. (2001). Kerangka Landasan Untuk Pembelajaran, Pengajaran, dan Assesmen [Framework for Learning, Teaching and Assessment]. Yogyakarta: Pustaka Pelajar.
Ausubel, D. P., & Ausubel, P. (1966). Cognitive Development in Adolescence. Review of Educational Research, 36(4), 403-413. doi:10.3102/00346543036004403
Ayriza, Y. (1995). Teori Perkembangan Kognitif Piaget Sebagai Alat Bantu Petunjuk Dalam Pelaksanaan Pendidikan Dasar 9 Tahun [Theory of Piaget's Cognitive Development As A Tool Indicator in Implementation of Basic Education 9 Years]. Cakrawala Pendidikan, 155-163.
Fah, L. Y. (2009). Logical thinking abilities among form 4 students in the interior division of Sabah, Malaysia. Journal of Science and Mathematics Education in Southeast Asia, 32(2), 161-187.
Gredler, M. E. (1992). Learning and Instruction : Theory into Practice. New York: Macmilan Publishing Company.
Hergenhahn, B. R., & Olson, M. H. (2008). Theories of Learning. (T. B. Wibowo, Trans.) Jakarta: Kencana Prenada Media Grup.
Hoosain, E. (2003). What are Mathematical Problems. The Humanistic Mathematics Network Journal Online, 27, 1-8. Retrieved from http://www2.hmc.edu/www_common/hmnj/hoosain.pdf
Kamaruddin, M. I., Abu Bakar, Z. B., Surif, J. B., & Li, W. S. (2004). Relationship Between Cognitive Styles, Levels of Cognitive Thinking And Chemistry Achievement Among Form Four Science Students. Retrieved from https://www.academia.edu/2649641/RELATIONSHIP_BETWEEN_COGNITIVE_STYLES_LEVELS_OF_COGNITIVE_THINKING_AND_CHEMISTRY_ACHIEVEMENT_AMONG_FORM_FOUR_SCIENCE_STUDENTS_PERHUBUNGAN_ANTARA_GAYA_PEMBELAJARAN_TAHAP_PEMIKIRAN_KOGNITIF_DAN_PENCAPAIAN_KIMIA_DI_KALANGAN_P
Kantowski, M. G. (1977). Processes involved in mathematical problem solving. Journal For research in mathematics Education, 8, 163-180.
Karplus, R. (1977). Science Teaching And The Development Of Reasoning. Journal of Research in Science Teaching, 14(2), 169-175.
Lawson, A. E. (1978). Development and Validation of The Classroom Test of Formal Reasoning. Journal of Research in Science Teaching, 15(1), 11-24.
Lawson, A. E. (2000). Classroom Test of Scientific Reasoning (Multiple Choice Version) (Rev. ed.). Arizona: Arizona State University.
Michalewicz, Z., & Fogel, O. B. (2004). How to Solve It: Modern Heuristics. Berlin: Springer.
Nuroso, H., & Siswanto, J. (2009). Model Pengembangan Modul IPA Terpadu Berdasarkan Perkembangan Kognitif Siswa [Model Development of Integrated Science Books Based Cognitive Development Students]. Jurnal Penelitian Pembelajaran Fisika, 1(1), 35-46.
Ormrod, J. E. (2009). Psikologi Pendidikan: Membantu Siswa Tumbuh dan Berkembang [Psychology of Education: Helping Students Grow and Improve]. (W. Indiarti, Trans.) Jakarta: Erlangga.
Piaget, J. (1965). The Origins Of Intelligence In Children. New York: International Universities Press, Inc.
Polya, G. (1973). How to Solve It: A New Aspect Of Mathematical Method. New Jersey: Princeton University Press.
Roadrangka, V., Yeany, R. H., & Padilla, M. J. (1983, April). The construction of a group assessment of logical thinking (GALT). In 56th annual meeting of the National Association for Research in Science Teaching. Dallas, Texas, April, pp. 5-8. Retrieved from http://kasetsartjournal.ku.ac.th/kuj_files/2010/A1009021418431093.pdf
Slavin, R. E. (2008). Psikologi Pendidikan: Teori dan Praktik [Educational Psychology: Theory and Practice] (Vol. I). Jakarta: Indeks.
Sugiono. (2011). Metode Penelitian Pendidikan (Pendekatan Kuantitatif, Kualitatif, dan R&D) [Educational Research Methods (Quantitative, Qualitative and R & D Approach)]. Bandung: Alfabeta.
Suharnan. (2005). Psikologi Kognitif [Cognitive Psychology]. Surabaya: Srikandi.
Suherman, E. (2001). Strategi Pembelajaran Matematika Kontemporer [Contemporary Mathematics Learning Strategy]. Bandung: JICA UPI.
Tall, D. (2008). The Transition To Formal Thinking In Mathemathics. Mathematics Education Research Journal, 20(2), 5-24.
Tobin, K., & Capie, W. (1981). The Development and Validation of a Group Test of Logical Thinking. Educational And Pshychological Measurement, 41(2), 413-423. doi:10.1177/001316448104100220
Valanides, N. (1997, Desember). Formal reasoning and school achievement. Studies In Educational Evaluation, 169-185. doi:10.1016/S0191-491X(97)00011-4
Winkel, W. S. (2007). Psikologi Pengajaran [Teaching Psychology]. Yogyakarta: Media Abadi.