Email this article Controversial Mathematical Issues : Problem Based Learning on Critical Thinking
Abstract
This study aims to describe the study of controversial mathematical issues as problems that facilitate cognitive conflict and metacognitive knowledge. The research method used is a Systematic Literature Review with the process of identifying, assessing, and interpreting the available research facts, with the research object being a mathematical problem. The research design used was to summarize, review, and analyze 27 articles relevant to the research object in Sinta-accredited journals, indexed by Scopus and Web of Science. Then, these articles were analyzed using content analysis techniques. From the Systematic Literature Review, the results showed that controversial problems were different from metacognitive problems and the problems that facilitate cognitive conflict. These unique problems suit the mathematical problems’ criteria and support the application of Problem-Based Learning.
Keywords
Full Text:
PDFReferences
Adnyani, L. P. A. P. (2020). Applying Cognitive Conflict Strategy to Develop Mathematical Critical Thinking Ability and Character of Students. JME: Journal of Mathematics Education, 5(1), 30-38. http://doi.org/10.31327/jme.v5i1.1174
Afri, L. D. & Retno, W. (2021). Analisis Metakognisi Siswa Kelas X SMA dalam Pemecahan Masalah Sistem Persamaan Linear Tiga Variabel. AXIOM: Jurnal Pendidikan dan Matematika, 10(1), 110-124. http://dx.doi.org/10.30821/axiom.v10i1.9002
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. (n.d.). Problem Based Learning for Mathematics Critical Thinking Skills.
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
Alifiani & Faradiba, S. S. (2021). Mathematics Pre-service Teacher's Metacognitive Failure in Mathematics Online Learning. Jurnal Riset Pendidikan Matematika, 8(2), 179-190. https://dx.doi.org/10.21831/jrpm.v8i2.43366
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, 8(2), 743–755. https://doi.org/10.1088/1742-6596/1810/1/012060
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.
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.
Cahdriyana, R. A. (2021). Kesulitan Metakognisis Siswa dalam Memecahkan Masalah Matematika Ditinjau Dari Gaya Belajar Siswa. Jurnal MathEducation Nusantara, 4(2), 40-47. https://doi.org/10.54314/jmn.v4i2.154
Daher, W., Ahlam, A. & Roqaya, J. (2018). Metacognition, Positioning, and Emotions in Mathematical Activities. International Journal of Research in Education and Science (IJRES), 4(1), 292-303. DOI:10.21890/ijres.383184
Danila, R., & Agustini, R. (2021). Analisis Keterampilan Metakognitif Peserta Didik
Menggunakan Model Inkuiri Terbimbing pada Materi Laju Reaksi Berbasis Pembelajaran Daring. Jurnal Kependidikan: Jurnal Hasil Penelitian dan Kajian Kepustakaan di Bidang Pendidikan, Pengajaran dan Pembelajaran, 7(3), 596-606. doi: https://doi.org/10.33394/jk.v7i3.3487
Firmanti, P. (2021). Student’s Cognitive Conflict in Geometry Learning. Al-Ishlah: Jurnal Pendidikan, 14(3), 4713-4722, DOI: 10.35445/alishlah.v14i3.2236
Halimah, Subanji, & Dian, S. N. A. (2019). Student’s Cognitive Conflict from Problem Solving on Mathematics. Journal Physics: Conference Series, 1-5. doi:10.1088/1742-6596/1339/1/012127
Hand, M. & Ralph, L. (2012). Discussing Controversial Issues in The Classroom. Educational Philosophy and Theory, 44(6), 614-629. doi: 10.1111/j.1469-5812.2010.00732.x
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
Hidayati, N., Suryanti, S., & Cahaya, N. (2023). The Potential for the Development of Critical Thinking Tests: An Overview of Educators' Perceptions. Jurnal Kependidikan: Jurnal Hasil Penelitian dan Kajian Kepustakaan di Bidang Pendidikan, Pengajaran dan Pembelajaran, 9(1), 56-65. https://doi.org/10.33394/jk.v9i1.6794
Kajian Kepustakaan di Bidang Pendidikan, Pengajaran dan Pembelajaran, 9(1), 56-65.
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
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
Izzati, L. R. & Mahmudi, A. (2018). The Influence of Metacognition in MathematicalProblem Solving. Journal Physics: Conference Series, 1-7. Doi: 10.1088/1742-6596/1097/1/012107
Lestary, R. & Ahbi, M. R. (2022). Instrumental Student Cognitive Conflict in Solving Mathematical Problems. EduMa: Mathematics Education Learning and Teaching, 11(2), 236-248.
Lestary, R., Subanji, & Rustanto, 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
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
Mulbar, U., Alimuddin, & St. Mukarramah. (2021). Metakognisi Siswa SMA dalam Menyelesaikan Masalah Matematika. Issues in Mathematics Education, 5(2), 91-99. https://doi.org/10.35580/imed23840
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
Murni, A. (2019). Metakognisi dalam Pembelajaran Matematika. Jurnal PRINSIP: Pendidikan Matematika, 1(2), 1-14.
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
Ngicho, D. O., Simon, K., & Madrine, K. (2020). Manifestations and meanings of cognitive conflict among mathematics students in Embu, Kenya. Academic Journals: Educational Research and Review, 15(11), 690-699. doi: 10.5897/ERR2020.4061
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
Nurvitasari, F., & Sukartono, S. (2022). Can High Order Thinking Thematic and Critical Thinking Skills Affect Student Learning Outcomes?: A Evidence in Elementary Schools in Grobogan Regency, Central Java. Jurnal Kependidikan: Jurnal Hasil Penelitian dan Kajian Kepustakaan di Bidang Pendidikan, Pengajaran dan Pembelajaran, 8(3), 795-805. doi: https://doi.org/10.33394/jk.v8i3.5691
Permatasari, S. W., Rohana, & Marhaman. (2020). Pengaruh Pembelajaran Berbasis Masalah dengan Strategi Konflik Kognitif Terhadap Kemampuan Berpikir Kritis Siswa di SMP Negeri 6 Palembang. Jurnal Widya Wacana, 15(2), 102-109. https://doi.org/10.33061/j.w.wacana.v15i2.3988
Pertiwi, D. P., Heni, P., & Maman, F. (2022). Implementasi Pendekatan Metakognitif dalam Pembelajaran Matematika: Systematic Literature Review. Edukatif: Jurnal Ilmu Pendidikan, 4(6), 7904-7918. https://doi.org/10.31004/edukatif.v4i6.4285
Pratiwi, P., Hidayat, T., & Amprasto, A. (2022). Analysis of Guided Inquiry-Based Cladistic E-Worksheet Development to Improve Critical Thinking in High School. Jurnal Kependidikan: Jurnal Hasil Penelitian dan Kajian Kepustakaan di Bidang Pendidikan, Pengajaran dan Pembelajaran, 8(3), 776-785. doi: https://doi.org/10.33394/jk.v8i3.5359
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
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
Randi, P. (2019). The Impact of Cognitive Conflict Based Learning Tools on Students Mathematical Problem Solving Ability. International Journal of Education Dynamics, 2(1), 209-218.
Rosyadi, A. A. P. (2021). Analisis berpikir kritis mahasiswa dalam menyelesaikan masalahkontroversial matematika. EDU-MAT: Jurnal Pendidikan Matematika, 9(1), 1.https://doi.org/10.20527/edumat.v9i1.9988
Rosyadi, A. A. P., Cholis, S., Susiswo, & Swasono, R. (2021). Berpikir Kritis Calon Guru dalam Menyelesaikan Masalah Kontroversial Matematika dengan Menggunakan High Order Thinking Skills. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(4), 1972-1982. http://dx.doi.org/10.24127/ajpm.v10i4.4082
Rosyadi, A. A. P., Cholis, S., Susiswo, & Swasono, R. (2022). High Order Thinking Skills: Can it Arise When a Prospective Teacher Solves a Controversial Mathematics Problem?
Journal of Physics: Conference Series, 1-9.doi:10.1088/1742-6596/2157/1/012038
Rusmana, I. M. (2021). Konflik Kognitif dalam Pembelajaran Matematika. Indonesian Journal of Education and Humanity, 1(1), 9-16.
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
Saputra, N. N. & Retno, A. (2018). Analisis Kemampuan Metakognitif Siswa SMA dalam Proses Pemecahan Masalah. AKSIOMA: Jurnal Pendidikan Matematika FKIP Univ. Muhammadiyah Metro, 7(3), 473-481. http://dx.doi.org/10.24127/ajpm.v7i3.1403
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
Setiawan, P. & Sudana, I. D. N. (2019). Penerapan Model pembelajaran Kontekstual untuk Meningkatkan Hasil Belajar Matematika. Jurnal Ilmiah Pendidikan profesi Guru, 2(3), 238-247. https://doi.org/10.23887/jippg.v1i2.16397
Subanji, Rosyadi, A. A. P., & Emanuel, E. P. L. (2021). Level of Controversial Reasoning of The Pre-service Teachers to Solve Mathematical Problems. Journal of Southwest Jiaotong University, 56(4), 645–658. https://doi.org/10.35741/issn.0258-2724.56.4.55
Sukaisih, R., M. Muhali, & Asy’ari, M. (2020). Meningkatkan Keterampilan Metakognisi dan berpikir Kritis Siswa Melalui Pembelajaran Model Pemecahan Masalah dengan Strategi Konflik-Kognitif. Empiricism Journal, 1(1), 37-50. https://doi.org/10.36312/ej.v1i1.329
Sudiarta, I. G. P. (2008). Perpektif Baru Penelitian Pendidikan Matematika. Singaraja: Universitas Pendidikan Ganesha.
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
Sutopo. (2021). Cognitive Conflict pada Penyelesaian Masalah Matematika. JPPI: Jurnal Penelitian Pendidikan Indonesia, 7(2), 217-224. https://doi.org/10.29210/020211164
Syarifudin, A. (2021). Kemampuan Metakognisi Mahasiswa Program Studi Pendidikan Matematika FKIP Universitas Jambi. Jurnal Cendikia: Jurnal Pendidikan Matematika, 5(2), 1825-1833. https://doi.org/10.31004/cendekia.v5i2.714
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
Walida, S. E., Cholis, S., Subanji, & Sisworo. (2022). A Portrait of Controversial Mathematics Problems and Student’s Metacognitive Awareness: A Case of Indonesia. Journal of Higher Education Theory and Practice, 22(12), 51-62. https://doi.org/10.33423/jhetp.v22i12.5462
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
Zulfikar, R. N. (2019). Analisis Strategi Metakognitif Siswa dalam Memecahkan Masalah Matematika. Jurnal Ilmiah Iqra’ Fakultas Tarbiyah dan Ilmu Keguruan [FTIK] IAIN Manado, 13(1), 64-71. http://dx.doi.org/10.30984/jii.v13i1.937
DOI: https://doi.org/10.33394/jk.v9i3.8210
Refbacks
- There are currently no refbacks.
Copyright (c) 2023 The Author(s)
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Jurnal Kependidikan : Jurnal Hasil Penelitian dan Kajian Kepustakaan di Bidang Pendidikan, Pengajaran, dan Pembelajaran
E-ISSN: 2442-7667
Published by LPPM Universitas Pendidikan Mandalika
Email: [email protected]
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.