Students' Critical Thinking Skills in Solving Mathematical Problems: Systematic Literature Review

I Putu Pasek  Suryawan; I Gusti Putu  Sudiarta; I Gusti Putu  Suharta

doi:10.23887/ijerr.v6i1.56462

Authors

I Putu Pasek Suryawan Universitas Pendidikan Ganesha, Singaraja, Indonesia
I Gusti Putu Sudiarta Universitas Pendidikan Ganesha, Singaraja, Indonesia
I Gusti Putu Suharta Universitas Pendidikan Ganesha, Singaraja, Indonesia

DOI:

https://doi.org/10.23887/ijerr.v6i1.56462

Keywords:

mathematical critical thinking, mathematical problems, problem-based learning, indicators of critical thinking

Abstract

To develop mathematical critical thinking skills, students are expected to have a fighting attitude in solving mathematical problems. This can support learning that is oriented towards students' critical thinking skills. The purpose of this research is to analyze the trend of studying critical thinking skills in solving students' mathematical problems. This research uses the systematic literature review method which is carried out by identifying, assessing, and interpreting all available research evidence by studying indicators and how to bring up students' mathematical critical thinking skills as the object of research. The design used is to summarize, review, and analyze 25 articles that are very relevant to the object of research in Sinta accredited journals, indexed by Scopus and Web of Science. The results of this systematic literature review state that aspects of argumentation and reasoning are very important to be developed in solving mathematical problems. Implementing problem-based learning has positive effectiveness towards improving mathematical critical thinking skills and digitalization of learning is needed in facilitating students' critical thinking. Digitalization of learning can be developing problem-based digital modules that facilitate students' cognitive conflicts. The conclusion in this research are different indicators used to measure students' critical thinking skills, different aspects of interpreting indicators, the use of PBL, and the use of ICT.

References

Ahdhianto, E., Marsigit, Haryanto, & Nurfauzi, Y. (2020). Improving Fifth-Grade Students’ Mathematical Problem-solving and Critical Thinking Skills Using Problem-Based Learning. Universal Journal of Educational Research, 8(5), 2012–2021. https://doi.org/10.13189/ujer.2020.080539.

Aini, N. R., Syafril, S., Netriwati, N., Pahrudin, A., & Rahayu, T. (2019). Problem Based Learning for Mathematics Critical Thinking Skills. In Journal of Physics: Conference Series, 012026. https://doi.org/10.1088/1742-6596/1155/1/012026.

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(1). https://doi.org/10.1088/1742-6596/1806/1/012090.

Alfayez, M. Q. E., Aladwan, S. Q. A., & Shaheen, H. R. A. (2022). The Effect of a Training Program Based on Mathematical Problem-Solving Strategies on Critical Thinking Among Seventh-Grade Students. Frontiers in Education, 7(April), 1–9. https://doi.org/10.3389/feduc.2022.870524.

Alifia, N. N., Budiyono, & Saputro, D. R. S. (2019). Mathematical critical thinking skills profile of high school students in solving linear program word problems. Journal of Physics: Conference Series, 1211(1). https://doi.org/10.1088/1742-6596/1211/1/012101.

Amin, S., Utaya, S., Bachri, S., Sumarmi, & Susilo, S. (2020). Effect of problem-based learning on critical thinking skills and environmental attitude. Journal for the Education of Gifted Young Scientists, 8(2), 743–755. https://doi.org/10.17478/jegys.650344.

Antara, I. G. W. S., & Dewantara, K. A. K. (2022). E-Scrapbook: The Needs of HOTS Oriented Digital Learning Media in Elementary Schools. Journal for Lesson and Learning Studies, 5(1), 71–76. https://doi.org/10.23887/jlls.v5i1.48533.

Arifin, S., Setyosari, P., Sa’dijah, C., & Kuswandi, D. (2019). Increasing Critical Thinking and Student Retention: A Learning Model Approach. International Journal of Research & Review, 6(10), 168–175. https://www.academia.edu/download/63614363/IJRR002420200613-63417-8nvx5u.pdf.

Azizah, M., Sulianto, J., & Cintang, N. (2018). Analisis Keterampilan Berpikir Kritis Siswa Sekolah Dasar pada Pembelajaran Matematika Kurikulum 2013. Jurnal Penelitian PendidikanA & A (Semarang), 35(1), 61–70. https://doi.org/10.15294/jpp.v35i1.13529.

Basri, H., & As’ ari, A. R. (2019). Investigating Critical Thinking Skill of Junior High School in Solving Mathematical Problem. International Journal of Instruction, 12(3), 745–758. https://eric.ed.gov/?id=EJ1220211.

Chai, C. S., & Kong, S.-C. (2017). Professional learning for 21st century education. Journal of Computers in Education, 4(1), 1–4. https://doi.org/10.1007/s40692-016-0069-y.

Chalkiadaki, A. (2018). A systematic literature review of 21st century skills and competencies in primary education. International Journal of Instruction, 11(3), 1–16. https://doi.org/10.12973/iji.2018.1131a.

Chong, M. S. F., Shahrill, M., & Li, H. C. (2019). The integration of a problem-solving framework for Brunei high school mathematics curriculum in increasing student’s affective competency. Journal on Mathematics Education, 10(2), 215–228. https://doi.org/10.22342/jme.10.2.7265.215-228.

Darmayasa, J. B. (2018). Landasan, Tantangan, dan Inovasi Berupa Konteks Ethnomathematics dalam Pembelajaran Matematika Sekolah Menengah Pertama. JNPM (Jurnal Nasional Pendidikan Matematika), 2(1), 9–23. https://doi.org/10.33603/jnpm.v2i1.709.

Epçaçan, C. (2019). A review on the relationship between critical thinking skills and learning domains of Turkish Language. Educational Research and Reviews, 14(3), 67–77. https://doi.org/10.5897/err2018.3658.

Harjo, B., Kartowagiran, B., & Mahmudi, A. (2019). Development of critical thinking skill instruments on mathematical learning high school. International Journal of Instruction, 12(4), 149–166. https://doi.org/10.29333/iji.2019.12410a.

Hidayat, W., & Sariningsinh, R. (2018). Kemampuan Pemecahan Masalah Matematis Dan Adversity Quotient Siswa SMP Melalui Pembelajaran Open Ended. Jurnal JNPM (Jurnal Nasional Pendidikan Matematika), 2(1), 109–118. https://doi.org/10.1016/S0962-8479(96)90008-8.

Hidayati, N., Tanah Boleng, D., & Candra, K. P. (2020). Students’ learning motivation and cognitive competencies in the PP and PBL models. JPBI (Jurnal Pendidikan Biologi Indonesia), 6(3), 367–374. https://doi.org/10.22219/jpbi.v6i3.12081.

Hidayatullah, Z., Wilujeng, I., Nurhasanah, N., Gusemanto, T. G., & Makhrus, M. (2021). Synthesis of the 21st Century Skills (4C) Based Physics Education Research In Indonesia. JIPF (Jurnal Ilmu Pendidikan Fisika), 6(1), 88. https://doi.org/10.26737/jipf.v6i1.1889.

Imam, I., Ayubi, A., & Bernard, M. (2018). Pengaruh Pembelajaran Berbasis Masalah Terhadap Kemampuan Pemecahan Masalah Matematis Siswa SMA. JPMI:Jurnal Pembelajaran Matematika Inovatif, 1(3), 355–360. https://doi.org/10.22460/jpmi.v1i3.355-360.

Ismail. (2018). Critical Thinking Skills of an Eighth Grade Male Student with High Mathematical Ability in Solving Problem. Journal of Physics: Conference Series, 947(1). https://doi.org/10.1088/1742-6596/947/1/012073.

Ismail, Suwarsono, S., & Lukito, A. (2018). Critical Thinking Skills of Junior High School Female Students with High Mathematical Skills in Solving Contextual and Formal Mathematical Problems. Journal of Physics: Conference Series, 953(1). https://doi.org/10.1088/1742-6596/953/1/012205.

Liu, J., Ma, Y., Sun, X., Zhu, Z., & Xu, Y. (2021). A Systematic Review of Higher-Order Thinking by Visualizing its Structure Through HistCite and CiteSpace Software. Asia-Pacific Education Researcher. https://doi.org/10.1007/s40299-021-00614-5.

Martiani, S., & Juandi, D. (2019). Mathematical critical thinking ability of students at vocational highschool (adolescence). Journal of Physics: Conference Series, 1211(1). https://doi.org/10.1088/1742-6596/1211/1/012066.

Monrat, N., Phaksunchai, M., & Chonchaiya, R. (2022). Developing Students’ Mathematical Critical Thinking Skills Using Open-Ended Questions and Activities Based on Student Learning Preferences. Education Research International, 2022(2015). https://doi.org/10.1155/2022/3300363.

Munawwarah, M., Laili, N., & Tohir, M. (2020). Keterampilan Berpikir Kritis Mahasiswa Dalam Memecahkan Masalah Matematika Berdasarkan Keterampilan Abad 21. Alifmatika: Jurnal Pendidikan Dan Pembelajaran Matematika, 2(1), 37–58. https://doi.org/10.35316/alifmatika.2020.v2i1.37-58.

Musdi, E., Permana, D., Wiska, S., & Rusyda, N. A. (2020). Increasing Student Mathematical Critical Thinking Ability Through the Development of Geometry Instructional Device Based on Van Hiele’s Theory. Journal of Physics: Conference Series, 1554(1). https://doi.org/10.1088/1742-6596/1554/1/012073.

Muslimahayati, Dasari, D., & Agustiani, R. (2020). Mathematical critical thinking ability of students with realistic mathematics learning innovations with ethnomathematics (PMRE). Journal of Physics: Conference Series, 1480(1). https://doi.org/10.1088/1742-6596/1480/1/012004.

Nugroho, P. B., Nusantara, T., As’ari, A. R., Sisworo, Hidayanto, E., & Susiswo. (2018). Critical thinking disposition: Students skeptic in dealing with ill-logical mathematics problem. International Journal of Instruction, 11(3), 635–648. https://doi.org/10.12973/iji.2018.11343a.

Pratiwi, S. N., Cari, C., & Aminah, N. S. (2019). Pembelajaran IPA Abad 21 dengan Literasi Sains Siswa. Jurnal Materi Dan Pembelajaran Fisika (JMPF), 9(1), 34–42. https://doi.org/10.20961/jmpf.v9i1.31612.

Priyonggo, H. W., Wardono, W., & Asih, T. S. N. (2021). Mathematics Literacy Skill on Problem Based Learning Assisted by E-Module Agito Based on Learning Motivation. Unnes Journal of Mathematics Education Research, 10(A), 54–58. https://journal.unnes.ac.id/sju/index.php/ujmer/article/view/34610.

Putri, W. F., & Irwan. (2019). Validity of learning devices mathematical based on quantum teaching and learning model for improving critical thinking. Journal of Physics: Conference Series, 1317(1). https://doi.org/10.1088/1742-6596/1317/1/012137.

Raharjo, D. (2022). Pembelajaran Berkarakteristik Inovatif Abad 21 Pada Materi Kemandirian Karir Peserta Didik Dengan Metode Pembelajaran Berbasis Masalah (Pbl) Di Smk Negeri 1 Adiwerna Tegal. Cakrawala: Jurnal Pendidikan, 87–104. https://doi.org/10.24905/cakrawala.vi0.170.

Ramadhani, R., Bina, N. S., Sihotang, S. F., Narpila, S. D., & Mazaly, M. R. (2020). Students’ critical mathematical thinking abilities through flip-problem based learning model based on LMS-google classroom. Journal of Physics: Conference Series, 1657(1). https://doi.org/10.1088/1742-6596/1657/1/012025.

Samura, A. O., Juandi, D., & Darhim. (2020). Improving mathematical critical thinking skills through problem-based learning. Journal of Physics: Conference Series, 1521(3). https://doi.org/10.1088/1742-6596/1521/3/032102.

Sari, V. T. A., & Hidayat, W. (2019). The students’ mathematical critical and creative thinking ability in double-loop problem solving learning. Journal of Physics: Conference Series, 1315(1). https://doi.org/10.1088/1742-6596/1315/1/012024.

Seftiani, S., Zulyusri, Arsih, F., & Lufri. (2021). Meta-analisis Pengaruh Model Pembelajaran Project Based Learning terhadap Kemampuan Berpikir Kritis Peserta Didik SMA. Bioilmi: Jurnal Pendidikan, 7(2), 110–119. https://doi.org/http://dx.doi.org/10.24036/7912171074.

Shahroom, A. A., & Hussin, N. (2018). Industrial Revolution 4.0 and Education. International Journal of Academic Research in Business and Social Sciences, 8(9). https://doi.org/10.6007/ijarbss/v8-i9/4593.

Shebastian, I. G. R. ., Suyasa, I. M. S., & Arta, P. . (2020). Pengembangan Media Pembelajaran Interaktif “ Pengenalan Hewan Dan Tumbuhan ” Pada Mata Metode Gamefikasi Untuk Siswa Kelas Ii Di Sekolah Dasar. Karmapati, 9(1), 8–20. https://doi.org/10.23887/karmapati.v9i1.23270.

Sumarno. (2019). Pembelajaran kompetensi abad 21 menghadapi era Society 5.0. Prosiding SEMDIKJAR (Seminar Nasional Pendidikan Dan Pembelajaran), 3, 272–287. http://ojs.semdikjar.fkip.unpkediri.ac.id/index.php/SEMDIKJAR/article/view/28.

Susanti, E., & Hartono. (2019). An analysis mathematical problem solving and mathematical critical thinking skills of junior high school students. Journal of Physics: Conference Series, 1320(1). https://doi.org/10.1088/1742-6596/1320/1/012071.

Susilo, B. E., Darhim, D., & Prabawanto, S. (2020). Critical thinking skills based on mathematical dispositions in problem-based learning. Journal of Physics: Conference Series, 1567(2). https://doi.org/10.1088/1742-6596/1567/2/022101.

Takko, M., Jamaluddin, R., Kadir, S. A., Ismail, N., Abdullah, A., & Khamis, A. (2020). Enhancing higher-order thinking skills among home science students: The effect of cooperative learning Student Teams-Achievement Divisions (STAD) module. International Journal of Learning, Teaching and Educational Research, 19(7), 204–224. https://doi.org/10.26803/IJLTER.19.7.12.

Tohir, M., Maswar, M., Mukhlis, M., Sardjono, W., & Selviyanti, E. (2021). Prospective teacher’s expectation of students’ critical thinking process in solving mathematical problems based on Facione stages. Journal of Physics: Conference Series, 1832(1). https://doi.org/10.1088/1742-6596/1832/1/012043.

Yolanda, F. (2019). The Effect of Problem Based Learning on Mathematical Critical Thinking Skills of Junior High School Students. Journal of Physics: Conference Series, 1397(1). https://doi.org/10.1088/1742-6596/1397/1/012082.