Instrumental Student Cognitive Conflict in Solving Mathematical Problems

Ratnah Lestary(1*), Ahbi Mahdianing Rum(2),


(1) Bengkulu University
(2) University of Education Indonesia
(*) Corresponding Author

Abstract


This research was a case study research with a qualitative approach. The subject of this study was 6 class VIII students of SMPN 1 Kota Malang. The instruments of this study were cognitive quest conflict test sheets, general interview instructions, validation sheets, and record tools. The data obtained in the form of the results of the subject's work, interview data on the subject, and field notes. The results of this study indicated that cognitive conflict of students with instrumental understanding in solving comparison problems occurs when: (1) students determine the formula matching the problem and (2) students do algorithmic calculations. Student cognitive conflict when determining the appropriate comparison formula was the awareness of the contradiction between the answers obtained from applying a comparison formula worth the concept of a reverse value comparison. Student cognitive conflict when performing algorithmic calculations were (a) awareness that the initial scheme is to simplify the comparison of the number of people, tables and days was incorrect because it cannot be applied to solve all problems of comparison and (b) awareness that the calculation scheme was looking for multiplication patterns the known comparison cannot be applied because it produces an answer that was not an integer

Keywords


Cognitive conflict, Comparison, Mathematical understanding

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References


Baser, M. (2006). Fostering Conceptual Change by Cognitive Conflict Based Instruction on Students’ Understanding of Heat and Temperature Concepts. Eurasia Journal of Mathematics, Science and Technology Education, 2(2), 96–114. https://doi.org/10.12973/ejmste/75458

BSNP. (2006). Standar Isi untuk Satuan Pendidikan Dasar dan Menengah Standar Kompetensi dan Kompetensi dasar SMA/MA. Jakarta: BSNP

Dahlan, J. A., Rohayati, A., & Karso, K. (2012). Implementasi strategi pembelajaran konflik kognitif dalam upaya meningkatkan High Order Mathematical Thinking Siswa. Jurnal Pendidikan, 13(2), 65-76. https://doi.org/10.33830/jp.v13i2.372.2012

Devine, A., Hill, F., Carey, E., & Szűcs, D. (2018). Cognitive and emotional math problems largely dissociate: Prevalence of developmental dyscalculia and mathematics anxiety. Journal of Educational Psychology, 110(3), 431-444. https://doi.org/10.1037/edu0000222

Glaser, B. G. (1965). The constant comparative method of qualitative analysis. Social problems, 12(4), 436-445. https://doi.org/10.2307/798843

Hendriana & Soemarmo. (2014). Penilaian Pembelajaran Matematika. Bandung: PT Refika Aditama.

Ibda, F. (2015). Perkembangan Kognitif: Teori Jean Piaget. INTELEKTUALITA, 3(1), 27-38. https://jurnal.ar-raniry.ac.id/index.php/intel/article/view/197

Kang, H., Scharmann, L. C., Kang, S., & Noh, T. (2010). Cognitive Conflict and Situational Interest as Factors Influencing Conceptual Change. International Journal of Environmental and Science Education, 5(4), 383–405. https://digitalcommons.unl.edu/teachlearnfacpub/379/

Khiyarusoleh, U. (2016). Konsep Dasar Perkembangan Kognitif Pada Anak Menurut Jean Piaget. Jurnal Dialektika Jurusan PGSD, 5(1), 1-10. http://journal.peradaban.ac.id/index.php/jdpgsd/article/view/17

Kwon, J., Park, H., Kim, J., Lee, Y. J., & Lee. G. (2003). What Do We Know About Students' Cognitive Conflict in Science Classroom: A Theoretical Model Of Cognitive Conflict Process. Research Report on Subject EducationRR98-VI-11, Ministry of Education in Korea. https://eric.ed.gov/?id=ED472903

Lee, G., & Byun, T. (2012). An Explanation for the Difficulty of Leading Conceptual Change Using a Counterintuitive Demonstration: The Relationship Between Cognitive Conflict and Responses. Research in Science Education, 42(5), 943–965. https://doi.org/10.1007/s11165-011-9234-5

Lestary, R., Subanji, & Rahardi, R. (2018). Konflik Kognitif Internal Siswa dalam Menyelesaikan Masalah Matematika Ditinjau dari Proses Asimilasi Akomodasi. Numerical: Jurnal Matematika dan Pendidikan Matematika, 2(2), 167-178. https://doi.org/10.25217/numerical.v2i2.329

Maume, K., Mathews, P. (2000). A study of cognitive accelerated learning in science. Irish Educational Studies, 19(1), 95-106. https://doi.org/10.1080/0332331000190110

Mufit, F., Festiyed, F., Fauzan, A., & Lufri, L. (2018). Impact of learning model based on cognitive conflict toward student’s concepttual understanding. Conference Series: Materials Science and Engineering, 335(1). https://doi.org/10.1088/1757- 899X/335/1/012072

Netti, S., Nusantara, T., Subanji, Abadyo, & Anwar, L. (2016). The Failure to Construct Proof Based on Assimilation and Accommodation Framework from Piaget. International Education Studies, 9(12), 12. https://doi.org/10.5539/ies.v9n12p12

Piaget, J. (1932). The moral judgment of the child. London: Free Press

Saldana, J. (2011). Fundamentals of Qualitative Research. Oxford University Press

Shahbari, J.A., & Peled, I. (2015). Resolving Cognitive Conflict in a Realistic Situation with Modeling Charateristics: Coping With a Changing Reference in Fractions. International Journal of Science and Mathematics Education, 13(4), 891–907. https://doi.org/10.1007/s10763-014-9509-1

Skemp, R. R. (1976). Relational Understanding and Instrumental Understanding. Mathematics Teaching, 77(1), 20–26.

Slavin, R.E. (2006). Education Psychology Theory and Practice Eighth Edition. United State of America: Johns Hopkins University.

Sudaryono. (2012). Dasar-dasar Evaluasi Pembelajaran. Yogyakarta. Graha Ilmu.

Sudijono, A. (2009). Pengantar Evaluasi Pendidikan. Jakarta: PT. Raja Grafindo Persada

Sukoriyanto, J., Nusantara, T., Subanji, Chandra, T.D. (2016). Students Thinking Process in Solving Combination Problems Considered from Assimilation and Accommodation Framework. Educational Research and Reviews, 11(16), 1494–1499. https://doi.org/10.5897/err2016.2811

Wyrasti, A. F. (2016). Penelusuran Konflik Kognitif Siswa dalam Menyelesaikan Masalah Matematika. In Prosiding Seminar Nasional Pendidik dan Pengembang Pendidikan Indonesia yang Diselenggarakan oleh APPPI, Dinas Pendidikan Kota Batu, dan PGRI Kota Batu pada (Vol. 21, p. 73â).

Wyrasti, A. F., Sa’dijah, C., & Anwar, L. (2016). The assessment of students’ cognitive conflict by using student’s cognitive map in solving mathematics problem. In International Conference on Education (ICE2) 2018: Education and Innovation in Science in the Digital Era (pp. 72-82). https://pasca.um.ac.id/conferences/index.php/ice/article/view/15

Zazkis, R., & Chernoff, E. J. (2008). What makes a counterexample exemplary?. Educational Studies in Mathematics, 68(3), 195-208. https://doi.org/10.1007/s10649-007-9110-4




DOI: 10.24235/eduma.v11i2.11468

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