Students' Cognitive Process to Solve Mathematics Problems Based on Learning Style

Binur Panjaitan

doi:10.35445/alishlah.v15i1.2788

Students' Cognitive Process to Solve Mathematics Problems Based on Learning Style

Binur Panjaitan

Abstract

The purpose of this study was to describe the cognitive processes of students in solving mathematical problems. This research is a qualitative exploratory research. Researchers explore things that affect the occurrence of the subject's cognitive processes through in-depth interviews. Subjects were selected based on the results of the study of learning styles. The subject of this research is one student with visual, one auditory, one kinesthetic and one tactile learning styles. To investigate student learning styles, the interpretation of Perceptual Learning Style elements is used. The stages of problem solving in this research are to understand the problem, make a plan of completion, complete according to plan and look back. Mathematical problems from story problems and proof problems. Data from interviews and written work that have been valid were analyzed by examining how the subject's cognitive process towards the problem. The results showed that there were differences in the cognitive processes of visual, auditory, kinesthetic and tactile subjects in solving mathematical problems, both in story problems and in proof questions.

Keywords

cognititive process; problem solving; learning style

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References

Afnia, S. N & Setyawan, F. (2021). Analysis of critical thinking ability in solving mathematical problems in terms of students learning style. Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika, 4(2), 103-116. URL: journal.unesa.ac.id/index.php/jrpipm.

Aini, P.N., Haryani, S. & Suwanti, V. (2020). Analisis pemahaman konsep matematika ditinjau dari gaya belajar siswa menurut honey mumford. JP2M (Jurnal Pendidikan dan Pembelajaran Matematika), 6(2) 44-52. https://doi.org/10.29100/jp2m.v6i2.1746.

Bennet, C.I. (1995). Comprehensive Multicultural Education 4th ed. Massachusetts, MA: A Simon & Schuster Company.

Baron, R. A. (1995). Psychology: Annotated Instructor’s Edition. (3rd ed.). Boston: Allyn and Bacon.

Butts, Thomas. (1980). Posing Problem Property, Problem Solving in School Mathematics. Reston, VA: NCTM.

Carroll, J.B. 1993. Human Cognitive Abilities: A Survey of Factor-analytic Studies. Cambridge: Cambridge University Press.

DePorter, Bobbi & Hernacki, Mike, 2016. Quantum Learning. Membiasakan Belajar Nyaman dan Menyenangkan. Bandung: PT Mizan Pustaka.

Dunn, R. & Dunn, K. (1993). Teaching Secondary Students Through Their Individual Learning Styles, Practical Approaches For Grades 7-12. Massachusetts: Simon & Schuster, Inc.

Dunn, R., Beadury, J.S., & Klavas, A. 1989. Survey of research on learning styles. Educational Leadership, 46(6), 50-58, http://www.ascd.org/ASCD/pdf/journals/ed_lead/el_198903_dunn.pdf

Glass, A.L. & Holyoak, K.J.1986. Cognition. (2nd ed.). Singapure: McGraw-Hill Book Company.

Gregorc, Anthony F. & Butler, Kathleen A. (1984). Learning is a matter of style. Journal Articles; Reports - Evaluative 59 (3), 27-29, https://eric.ed.gov/?id=EJ314787.

Gunawan, Harjono, A. & Imran (2016). Pengaruh multimedia interaktif dan gaya belajar terhadap penguasaan konsep kalor siswa. Jurnal Pendidikan Fisika Indonesia, 12(2), 118-125. DOI: 10.15294/jpfi.v12i2.5018.

Hidayah, F. N., Kusumaningsih, W. & Prasetyowati, D. (2020). Analisis kemampuan berpikir kritis Siswa SMA dalam menyelesaikan soal cerita ditinjau dari gaya belajar. Imajiner: Jurnal Matematika dan Pendidikan Matematika, 2(5), 329-338. journal.upgris.ac.id/index.php/imajiner.

Johnson, P.A. & Rising, G. E. (1972). Guidelines for Teaching Mathematics. California: Wadsworth Publishing Company, Inc.

Krulik, Stephen & Rudnick, Jesse A. (1995). The New Sourcebook for Teaching Reasoning and Problem Solving in Elementary School. Needham Heights, MA: Allyn & Bacon.

Laamena, Christina M. (2019). Strategi scaffolding berdasarkan gaya belajar dan argumentasi siswa: studi kasus pada pembelajaran pola bilangan. Barekeng: Jurnal Ilmu Matematika dan Terapan, 13(2), 085-092. https://doi.org/10.30598/barekengvol13iss2pp085-092ar809.

Lee, K., & Lodewijks, H. G. L. C. (1995). The adaptation of international students' learning styles to different learning contexts. College Student Journal, 29(3), 319–332. https://psycnet.apa.org/record/1996-21336-001.

McCarthy, Bernice. (1987). The 4-Mat System: Teaching To Learning Styles with Right/Left Mode Technigues. Barrington, Illinois: Excell, Inc.

Miles, B.M. & Huberman, M.A. 1994. Qualitative Data Analysis: an Expanded Sourcebook, 2nd ed. New Delhi: Sage Publications, Inc.

Nugroho, A.A., Juniati, D. & Siswono, T.Y.E. (2020). Self-regulated learning of prospective mathematics teachers with different learing style. Beta: Jurnal Tadris Matematika, 13(1), 81-103. Doi 10.20414/betajtm.v13i1.344.

Nurjannah (2019). The Exploration of metacognition of mathematical problem solving reviewed by students’ learning styles. AULADUNA: Jurnal Pendidikan Dasar Islam, 6(1), 78-89. DOI: https://doi.org/10.24252/auladuna.v6i1a9.2019.

Polya, G. 1973. How To solve It. (2nd ed.). Princeton, NJ: Princeton University Press.

Prashnig, Barbara. (1998). The Power of Learning Styles. Stafford: Network Educational Press Ltd.

Prashnig, B. 2007. The Power of Learning Styles. Memacu Anak Melejitkan Prestasi Dengan Mengenali Gaya Belajarnya. Terjamahan oleh Fauziyah. Kaifa. Bandung.

Radiusman & Simanjuntak, M. (2020). The problem solving of mathematical pattern generalization by prospective elementary school teachers based on their learing styles. JOHME: Journal of Holistic Mathematics Education, 4(1), 1-16. DOI: https://dx.doi.org/10.19166/johme.v4i1.2654.

Rofikoh, Z., Rochmad & Kurniasih, A.W. (2016). Analisis kemampuan pemecahan masalah siswa kelas x dalam pembelajaran discovery learning berdasarkan gaya belajar siswa. Unnes Journal of Mathematics Education, 5(1), 24–32. http://journal.unnes.ac.id/sju/index.php/ujme.

Saija, L. M. (2020). Analisis terhadap gaya belajar siswa Sekolah Menengah di Bandung. Jurnal Padegogik, 3(1), 57-70. DOI: https://doi.org/10.35974/jpd.v3i1.2234.

Sitepu, Junaidi Amin & Tanjung, Samsidar (2016). Pengaruh metode pembelajaran role play dan gaya belajar terhadap hasil belajar IPS kelas IV SD Muhammadiyah 31 Helvetia Kota Medan. Jurnal Teknologi Pendidikan, 9(1), 151-163.

Somerem Van M. W., Barnard Y.F., & Sandberg, J.A.C. (1994). The Think Aloud Method. A Practical Guide to Modeling Cognitive Processes. London: Academic Press.

Stanic, G. & Kilpatrick, J. (1988). “Historical Perspectives on Problem Solving in the Mathematics Curriculum”. In Charles R. I. & Silver E.A. (Ed). The Teaching and Assessing of Mathematical Problem Solving, 1-22). Reston, VA: NCTM.

Suharnan. (2005). Psikologi Kognitif. Surabaya: Srikandi.

Turmuji, M., Kurniati, N. & Azmi, S. (2021). Pemahaman konsep matematis mahasiswa calon guru sekolah dasar ditinjau dari gender dan gaya belajar. EDU-MAT: Jurnal Pendidikan Matematika, 9(1), 25-37. https://ppjp.ulm.ac.id/journal/index.php/edumat. DOI: 10.20527/edumat.v9i1.10371.

Widyastuti, R. (2015). Proses berpikir siswa dalam menyelesaikan masalah matematika berdasarkan teori Polya ditinjau dari adversity quotient tipe climber. Al-Jabar: Jurnal Pendidikan Matematika, 6(2), 183-193, DOI: https://doi.org/10.24042/ajpm.v6i2.48.

DOI: https://doi.org/10.35445/alishlah.v15i1.2788