Mathematical Critical Thinking Ability of Grade IX Students in Solving Ill-Structured Problems

Hanifa Dina Aulia Dewi Umbara(1*), Al Jupri(2), Jarnawi Afgani Dahlan(3)

(1) Universitas Pendidikan Indonesia
(2) Universitas Pendidikan Indonesia
(3) Universitas Pendidikan Indonesia
(*) Corresponding Author

Abstract


Students' mathematical critical thinking ability (MCTA) in Indonesia is still low, and one contributing factor is that students are not accustomed to solving non-routine problems, including ill-structured problems. This research aimed to explore the mathematical critical thinking ability (MTCA) in solving ill-structured using a qualitative approach with a case study method. This research involved 24 grade IX students from a junior high school in Bandung City, Jawa Barat Province, who had learned quadratic equations. Data were collected through a written test on MCTA and follow-up interviews. The results reveal that students fail to meet the MCTA indicators due to their lack of practice in solving contextual problems on quadratic equations and ill-structured problems. In addition, to gain a deeper understanding of mathematical critical thinking ability and the ability to solve ill-structured problems, future researchers could use two separate instruments, as these abilities involve distinct cognitive processes: convergent thinking and divergent thinking.

Keywords


Junior high school, Mathematical critical thinking ability, Ill-structured problems

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References


Agus, I., & Purnama, A. N. (2022). Students' mathematics critical thinking ability: A study on Satu Atap Junior High School students. Raflesia Journal of Mathematics Education, 7(1), 65–74. https://doi.org/10.33369/jpmr.v7i1.20143

Agustina, I. (2019). The Importance of Critical Thinking in Mathematics Learning in the Era of Industrial Revolution 4.0. Published Thesis. Enschede: Universitas Negeri Medan.

Aiyub, Suryadi, D., Fatimah, S., & Kusnandi. (2021). Investigation of Watson-Glaser critical thinking skills of junior high school students in solving mathematical problems. Journal of Physics: Conference Series, 1806(012090).

Anggraeni, R. (2021). Analysis of Junior High School Students' Difficulties in Solving Closed and Open Mathematics Problems. Unpublished Thesis. Bandung: Universitas Pendidikan Indonesia.

Anisa, A. R., Ipungkarti, A. A., & Saffanah, K. N. (2021). The effects of lack of literacy and low critical thinking skills in Indonesian Education. Conference Series Journal, 1(1), 1–12. Purwakarta: Study Program of Information Systems and Technology Education, Universitas Pendidikan Indonesia.

Aston, K. J. (2023). “Why is this hard, to have critical thinking ?” Exploring the factors affecting critical thinking with international higher education students. SAGE Publications. https://doi.org/10.1177/14697874231168341

Budiwiguna, B. S., Winarti, E. R., & Harnantyawati, R. (2022). Analysis of critical thinking ability of students of 19 Semarang Junior High School class VIII in view of self-regulation. PRISMA, Prosiding National Mathematics Seminar, 311–319. Semarang: Universitas Negeri Semarang.

Coffman, D. M. (2013). Thinking about Thinking: An Exploration of Preservice Teachers’ Views about Higher Order Thinking Skills. Published Dissertation: University of Kansas.

Davidson, J. E., & Stenrberg, R. J. (2003). The Psychology of Problem Solving. Cambridge University Press.

Ennis, R. (1991). Critical thinking: A streamlined conception. In Palgrave Handbook of Critical Thinking in Higher Education (pp. 22–43). Palgrave Macmillan.

Firdaus, Kailani, I., Bakar, M. N. Bin, & Bakry, B. (2015). Developing critical thinking skills of students in mathematics learning. Journal of Education and Learning, 9(3), 226–236. https://doi.org/10.11591/edulearn.v9i3.1830

Guilford, J. P. (1959). Three faces of intellect. The American Psychologist, 14, 469–479. https://doi.org/10.4159/harvard.9780674864207.c5

Harlita, D. R. F., & Ramli, M. (2018). Improving students' argumentation skills through action research with a focus on think pair share action. Proceeding Biology Education Conference, 15(1), 253–259. Surakarta: Universitas Sebelas Maret.

Imran, R. F., & Partikasari, R. (2020). Development of a science learning model with the concept of higher-level thinking skills (HOTS) for early childhood students at Universitas Dehasen Bengkulu. Jurnal Ilmiah Potensia, 5(2), 173–179. https://doi.org/10.33369/jip.5.2.173-179

Kurniasih, A. W. (2016). Culture of Developing Open-Ended Contextual Story Problems for Prospective Mathematics Teachers to Improve Critical Thinking. Published Thesis. Enschede: Universitas Negeri Semarang.

OECD. (2023). PISA 2022 Results (Volume I): The State of Learning and Equity in Education. In PISA, OECD Publishing: Vol. I. https://doi.org/10.1787/53f23881

Rachmantika, A. R., & Wardono. (2019). The role of students' critical thinking skills in mathematics learning with problem solving. PRISMA, Prosiding National Mathematics Seminar 2, 439–443.

Rahayu, B. N. A., & Dewi, N. R. (2022). Theoretical Review: Mathematical Critical Thinking Ability Based on Curiosity in ICT Assisted Preprospec Learning Model. PRISMA, Prosiding National Mathematics Seminar, 297–303. Semarang: Universitas Negeri Semarang.

Rosyid, M. Z., & Thoha, M. (2018). Students' convergent thinking model in solving mathematical problems on time measurement material. ELEMENTARY: Islamic Teacher Journal, 6(2), 291–300. http://dx.doi.org/10.21043/elementary.v6i2.4391

Roviati, E., & Widodo, A. (2019). Contribution of scientific argumentation in the development of critical thinking skills. Titian Ilmu: Multi Sciences Scientific Journal, 11(2), 56–66. https://doi.org/10.30599/jti.v11i2.454

Simangunsong, V. H., Perangin-angin, R. B., Gultom, D. I., & Naibaho, D. T. (2021). The relationship of philosophy of education and philosophy of mathematics to education. SEPREN: Journal of Mathematics Education and Applied, 2(2), 14–25. https://doi.org/10.36655/sepren.v2i2.513

Su, H. F. H., Ricci, F. A., & Mnatsakanian, M. (2016). Mathematical teaching strategies: pathways to critical thinking and metacognition. International Journal of Research in Education and Science (IJRES), 2(1), 190–200. https://doi.org/10.21890/ijres.57796

Susanto, Ardi, M., Arfandi, A., Lopa, A. T., & Rahman, M. H. (2023). Analysis of students' critical thinking skills and its influencing factors at 5 Makassar Vocational High School. Seminar Nasional Hasil Penelitian 2023 1042–1051. Makassar: Universitas Negeri Makassar.

Syaodih, E., Widaningsih, S., Suherman, F., & Budiman, A. (2022). Counselling for teachers in implementing HOTS-based learning concepts. Abdimas Siliwangi, 5(2), 290–302. http://dx.doi.org/10.22460/as.v5i2.10037

Thamsir, T., Silalahi, D. W., & Soesanto, R. H. (2019). Efforts in improving mathematical problem-solving skills of non-routine problems of one-variable linear equations and inequalities by applying the peer tutoring method. JOHME: Journal of Holistic Mathematics Education, 3(1), 96–107.

Udyani, K. R., Gita, I. N., & Suryawan, I. P. P. (2018). The effect of implementing the core learning model assisted by open problems on students' mathematical critical thinking skills. Undiksha Mathematics Education Journal, 9(1), 54–62. https://doi.org/10.23887/jjpm.v9i1.19886

Utami, H. B., Salsabila, E., & Wiraningsih, E. D. (2022). The importance of critical thinking skills in mathematics education. J-PiMat : Mathematics Education Journal, 4(2), 529–538. https://doi.org/10.31932/j-pimat.v4i2.2025

Widiastuti, F., & Rahmah, S. (2023). Mathematics and critical thinking in the global era. Gunung Djati Conference Series, 32, 52–60. UIN Sunan Gunung Djati.

Widodo, S. A., Istiqomah, Leonard, Nayazik, A., & Prahmana, R. C. I. (2019). Formal student thinking in mathematical problem-solving. Journal of Physics: Conference Series, 1188(012087).

Winarti, E. R., Waluya, B., & Rochmad. (2018). Improving critical thinking skills through problem-based learning with peer feedback activity. Electronic Journal of Mathematics Learning, 5(2), 197–207.

Yee, F. P. (2002). The role of problems in enhancing pedagogical practices in the Singapore mathematics classroom. The Mathematics Educator, 6(2), 15–31.




DOI: http://dx.doi.org/10.30998/formatif.v15i1.27337

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