Proses Berpikir Mahasiswa Berdasarkan Taksonomi SOLO dalam Penyelesaian Masalah Persamaan Diferensial

  • Arjudin Arjudin Universitas Mataram
  • Sripatmi Sripatmi Universitas Mataram
  • Muhammad Turmuzi Universitas Mataram
  • Dwi Novitasari Universitas Mataram
  • Ratih Ayu Apsari Universitas Mataram
Keywords: thinking processes, SOLO taxonomy, algebraic thinking, calculus thinking

Abstract

This research is an exploratory descriptive with a descriptive quantitative approach or mix-method which aims to analyze the thinking processes of pre-service mathematics students based on the SOLO taxonomy in solving differential equation problems. The subjects were 86 pre-service mathematics students of the fifth semester of the mathematics education study program who were selected using the purposive sampling technique. Meanwhile, data were collected using problem-solving tests and interviews and then analyzed using descriptive and qualitative statistics with the following stages: (1) transcribing test and interview data, (2) coding segmentation, (3) analyzing student thinking processes in solving differential equation problems, and (4) drawing conclusions. The results showed that pre-service mathematics students' thinking levels were at the pre-structural level (6.98%), uni-structural (25.58%), multi-structural (60.47%), and extended abstract (6.98). Meanwhile, there is no one at the relational level in solving the problem. These results indicate that students need to be well supported and facilitated in problem-solving to achieve higher levels of thinking, such as the relational and extended abstract levels.

Author Biographies

Arjudin Arjudin, Universitas Mataram

Pendidikan Matematika

Sripatmi Sripatmi, Universitas Mataram

Pendidikan Matematika

Muhammad Turmuzi, Universitas Mataram

Pendidikan Matematika

Dwi Novitasari, Universitas Mataram

Pendidikan Matematika

Ratih Ayu Apsari, Universitas Mataram

Pendidikan Matematika

References

Afriyani, D., Sa’dijah, C., Subanji, S., & Muksar, M. (2018). Characteristics of Students’ Mathematical Understanding in Solving Multiple Representation Task based on Solo Taxonomy. International Electronic Journal of Mathematics Education, 13(3), 281–287. https://doi.org/10.12973/iejme/3920

Carlson, M. P., & Bloom, I. (2005). The cyclic nature of problem solving: An emergent multidimensional problem-solving framework. Educational Studies in Mathematics, 58(1), 45–75. https://doi.org/10.1007/s10649-005-0808-x

Chick, H. (1998). Cognition in the formal modes: Research mathematics and the SOLO taxonomy. Mathematics Education Research Journal, 10(2), 4–26. https://doi.org/10.1007/BF03217340

Claudia, L. F., Kusmayadi, T. A., & Fitriana, L. (2020a). High School Students’ Responses in Solving Linear Program Problems Based on SOLO Taxonomy Viewed from Mathematical Disposition. Journal of Physics: Conference Series, 1539(1), 1–12. https://doi.org/10.1088/1742-6596/1539/1/012087

Claudia, L. F., Kusmayadi, T. A., & Fitriana, L. (2020b). The SOLO taxonomy: Classify students’ responses in solving linear program problems. Journal of Physics: Conference Series, 1538(1). https://doi.org/10.1088/1742-6596/1538/1/012107

Johnson, R. B., & Larry, C. (2004). Educational Research: Quantitative, Qualitative, and Mixed Approaches Second edition (Second edi). Library of Congress Cataloging-in-Publicatiom Data.

Knapp, M., Adelman, N., Marder, C., McCoHum, H., Needels, C., Padilla, C., Shields, P., Turnbull, B., & Zucker, A. (1982). Teaching for Meaning in High-Poverty Classrooms. In Teachers College Press. Teachers College Press. https://doi.org/10.1177/000494418302700311

Lapp, D. A., Nyman, M. A., & Berry, J. S. (2010). Student connections of linear algebra concepts: An analysis of concept maps. International Journal of Mathematical Education in Science and Technology, 41(1), 1–18. https://doi.org/10.1080/00207390903236665

Lian, L. H., & Yew, W. T. (2012). Assessing algebraic solving ability: A theoretical framework. International Education Studies, 5(6), 177–188. https://doi.org/10.5539/ies.v5n6p177

Miles, M. B., & Huberman, A. M. (1994). Qualitatif Data Analysis: An Expand Sourcebook Second Edition (R. Holland (ed.); Second Edi). SAGE Publication Ltd.

Novitasari, D., Triutami, T. W., Wulandari, N. P., Rahman, A., & Alimuddin. (2020). Students’ creative Thinking in Solving Mathematical Problems Using Various Representations. In W. Striełkowski & J. Cheng (Eds.), Advances in Social Science, Education and Humanities Research (ASSEHR), Proceedings of the 1st Annual Conference on Education and Social Sciences (ACCESS 2019) (Vol. 465, Issue Access 2019, pp. 99–102). Atlantis Press. https://doi.org/https://doi.org/10.2991/assehr.k.200827.026

Putri, U. H., Mardiyana, M., & Saputro, D. R. S. (2017). How to Analyze the Students’ Thinking Levels Based on SOLO Taxonomy? Journal of Physics: Conference Series, 895(1). https://doi.org/10.1088/1742-6596/895/1/012031

Saputra, D. C., Nurjanah, A., & Retnawati, H. (2019). Students’ Ability of Mathematical Problem-Solving Based on SOLO Taxonomy. Journal of Physics: Conference Series, 1320(1). https://doi.org/10.1088/1742-6596/1320/1/012070

Socas, M., & Hernández, J. (2013). Mathematical problem solving in training elementary teachers from a semiotic logical approach. Mathematics Enthusiast, 10(1–2), 191–218.

Tasni, N., Nusantara, T., Hidayanto, E., Sisworo, S., & Susanti, E. (2019). The construction of student’ thinking transformation: From simple connectivty to productive. Journal of Physics: Conference Series, 1157(3). https://doi.org/10.1088/1742-6596/1157/3/032094

Upu, H., & Bangatau, N. S. (2019). The Profile of Problem-solving in Algebra based on Solo Taxonomy in Terms of Cognitive Style. Advances in Social Science, Education and Humanities Research (ASSEHR), 227(Icamr 2018), 372–376. https://doi.org/10.2991/icamr-18.2019.91

Yantz, J. (2013). Connected Representations of Knowledge: Do Undergraduate Students Relate Algebraic Rational Expressions to Rational Numbers? Mid-Western Educational Researcher, 25(4), 47–61.

Published
2021-12-13
Section
Articles