Problem-based learning in improving critical mathematical thinking skills: Independent curriculum teaching module
Abstract
Background: Students' limited abilities in critical mathematical thinking present a persistent obstacle in mathematics education. To address this issue, this study focuses on developing a teaching module aligned with the Independent Curriculum, incorporating the Problem-Based Learning (PBL) approach.
Aim: This research aims to design and validate a teaching module tailored to enhance students' critical thinking skills in solving mathematical problems.
Method: Employing the Plomp development model, the study was conducted through three phases: preliminary analysis, development or prototyping, and evaluation. Data collection involved expert validation, with analysis performed using a validity index.
Result: The independent curriculum teaching module received an average validity score of 3.57, categorized as highly valid, confirming its feasibility and alignment with instructional criteria.
Conclusion: The findings demonstrate that the developed module fulfills all validity criteria, making it suitable for use in mathematics education to support the development of critical thinking skills. Further studies are encouraged to investigate its influence on students' learning outcomes.
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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
Ainin, Q., Mulyono, M., & Syahputra, E. (2020). Development of cooperative learning think-talk-write (TTW) models based on batak culture to improve students’ mathematical critical thinking ability. Al-Jabar : Jurnal Pendidikan Matematika, 11(2), 287–298. https://doi.org/10.24042/ajpm.v11i2.7289
Ali, S. S. (2019). Problem based learning: A student-centered approach. English language teaching, 12(5), 73-78. https://doi.org/10.5539/elt.v12n5p73
Anggraini, S., Setyaningrum, W., Retnawati, H., & Marsigit. (2020). How to improve critical thinking skills and spatial reasoning with augmented reality in mathematics learning? Journal of Physics: Conference Series, 1581(1). https://doi.org/10.1088/1742-6596/1581/1/012066
Apriyani, T. D., Fadiawati, N., Syamsuri, M. M. F., & Lampung, B. (2019). The effectiveness of problem-based learning on the hoax information to improve students’ critical thinking. International Journal of Chemistry Education Research, 3(1), 15–22. https://doi.org/10.20885/ijcer.vol3.iss1.art
Ardiansyah, K., Kurniati, D., Trapsilasiwi, D., & Osman, S. (2022). Truth-seekers students’ critical thinking process in solving mathematics problems with contradiction information. Kreano, Jurnal Matematika Kreatif-Inovatif, 13(1), 1–13. https://doi.org/10.15294/kreano.v13i1.33286
Basri, H., Purwanto, As’ari, A. R., & Sisworo. (2019). Investigating critical thinking skill of junior high school in solving mathematical problem. International Journal of Instruction, 12(3), 745–758. https://doi.org/10.29333/iji.2019.12345a
Cailloux, O., & Meinard, Y. (2020). A formal framework for deliberated judgment. Theory and Decision, 88(2), 269–295. https://doi.org/10.1007/s11238-019-09722-7
Darhim, Prabawanto, S., & Susilo, B. E. (2020). The effect of problem-based learning and mathematical problem posing in improving student’s critical thinking skills. International Journal of Instruction, 13(4), 103–116. https://doi.org/10.29333/iji.2020.1347a
Darmawan, S. M., & Warmi, A. (2022). Kemampuan berpikir kritis matematis siswa Madrasah Aliyah Kelas 12 pada materi statistika. Jurnal Educatio FKIP UNMA, 8(1), 280–289. https://doi.org/10.31949/educatio.v8i1.1980
Darmayanti, R., Sugianto, R., Baiduri, B., Choirudin, C., & Wawan, W. (2022). Digital comic learning media based on character values on students’ critical thinking in solving mathematical problems in terms of learning styles. Al-Jabar : Jurnal Pendidikan Matematika, 13(1), 49–66. https://doi.org/10.24042/ajpm.v13i1.11680
Efendi, F. K., & Suastra, I. W. (2023). Implementation of the independent curriculum in elementary schools. International Journal of Contemporary Studies in Education (IJ-CSE), 2(2), 149-153.
Ennis, R. H. (1993). Critical thinking assessment. Theory Into Practice, 32(3), 179–186. https://doi.org/https://doi.org/10.1080/00405849309543594
Faiziyah, N., & Priyambodho, B. L. (2022). Analisis kemampuan berpikir kritis dalam menyelesaikan soal HOTS ditinjau dari metakognisi siswa. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(4), 2823. https://doi.org/10.24127/ajpm.v11i4.5918
Huang, J. W., & Liao, Y. M. (2024). Application of problem-based learning in marketing studies combined with silver-haired business opportunities. Thinking Skills and Creativity, 53, 101571. https://doi.org/10.1016/j.tsc.2024.101571
Istiqomarie, N., Hapizah, H., & Mulyono, B. (2023). Design of google site-based learning media for circle material to support critical thinking skills. Al-Jabar : Jurnal Pendidikan Matematika, 14(2), 527–544. https://doi.org/10.24042/ajpm.v14i2.18081
Karim, R. S. A., & Nurlaelah, E. (2023). Analysis of the critical thinking skills of class X SMK students in Bandung City. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 12(1), 1428–1435. https://doi.org/10.24127/ajpm.v12i1.7018
Malaluan, J. S., & Andrade, R. R. (2023). Contextualized question-embedded video-based teaching and learning tool: A pathway in improving students’ interest and mathematical critical thinking skills. International Journal of Science, Technology, Engineering and Mathematics, 3(2), 39-64. https://doi.org/10.53378/352990
Monteleone, C., Miller, J., & Warren, E. (2023). Conceptualising critical mathematical thinking in young students. Mathematics Education Research Journal, 35(2), 339–359. https://doi.org/10.1007/s13394-023-00445-1
Muliyardi. (2006). Strategi belajar mengajar matematika. FMIPA Universitas Negeri Padang.
Mustafiyanti, M., Putri, M. P., Muyassaroh, M., Noviani, D., & Dylan, M. (2023). A form of independent curriculum, an overview of independent learning at state elementary school 05 Gelumbang Muaraenim. Pengabdian: Jurnal Abdimas, 1(2), 82-96. https://doi.org/10.55849/abdimas.v1i2.185
Permatasari, D., & Nurhanurawati, N. (2021). Analysis of critical thinking ability in solving linear programming problems in terms of students’ self-concepts. Kreano, Jurnal Matematika Kreatif-Inovatif, 12(2), 335–352. https://doi.org/10.15294/kreano.v12i2.31356
Plomp, T., & Nienke Nieveen. (2013). Educational design research, part A: An introduction. SLO.
Prajono, R., Gunarti, D. Y., & Anggo, M. (2022). Analisis Kemampuan berpikir kritis matematis peserta didik SMP ditinjau dari self efficacy. Mosharafa: Jurnal Pendidikan Matematika, 11(1), 143–154. https://doi.org/10.31980/mosharafa.v11i1.1072
Pramestika, N. P. D., Wulandari, I. G. A. A., & Sujana, I. W. (2020). Enhancement of mathematics critical thinking skills through problem based learning assisted with concrete media. Journal of Education Technology, 4(3), 254. https://doi.org/10.23887/jet.v4i3.25552
Primayanti, P. E., Suarjana, I. M., & Astawan, I. G. (2018). Pengaruh model PBL bermuatan kearifan lokal terhadap sikap sosial dan kemampuan berpikir kritis matematika siswa kelas V di Gugus V Sukasada. Thingking Skills and Creativity Journal, 1(2), 86–95. https://doi.org/10.23887/tscj.v1i2.20417
Putri, A., Kartini, K., & Yuanita, P. (2020). The effectiveness of learning tools based on discovery learning that integrates 21st century skills to mathematical critical thinking ability in trigonometric materials in high school. Journal of Physics: Conference Series, 1655(1). https://doi.org/10.1088/1742-6596/1655/1/012071
Rizki, N., Baiduri, B., & Inganah, S. (2023). Analysis of critical thinking ability in liveworkheet assisted cooperative learning settings. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 12(1), 1474. https://doi.org/10.24127/ajpm.v12i1.7130
Sari, S. I., Dewi, H. R., & Zainuddin. (2024). Media pembelajaran matematika komik peluang ( kolang ) untuk meningkatkan kemampuan berpikir kritis. Jurnal Muara Pendidikan, 9(1), 102–111. https://doi.org/10.52060/mp.v9i1.1998
Setiana, D. S., & Purwoko, R. Y. (2020). Analisis kemampuan berpikir kritis ditinjau dari gaya belajar matematika siswa. Jurnal Riset Pendidikan Matematika, 7(2), 163–177. https://doi.org/10.21831/jrpm.v7i2.34290
Suanto, E., Khainingsih, F. G., & Hutapea, N. M. (2022). Pengembangan LKPD-EL berbasis problem based learning berkonteks budaya melayu untuk meningkatkan kemampuan berpikir kritis matematis. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(3), 1805. https://doi.org/10.24127/ajpm.v11i3.5659
Suparman, S., Juandi, D., & Martadiputra, B. A. P. (2023). Students’ heterogeneous mathematical critical thinking skills in problem-based learning: A meta-analysis investigating the involvement of school geographical location. Al-Jabar : Jurnal Pendidikan Matematika, 14(1), 37–53. https://doi.org/10.24042/ajpm.v14i1.16200
Susilo, B. E. (2022). Students’ mathematical critical thinking ability in problem-based learning viewed based on learning style. Jurnal Elemen, 8(1), 187–200. https://doi.org/10.29408/jel.v8i1.4536
Syahril, R. F., Saragih, S., & Suanto, E. (2023). Pengembangan modul ajar berbasis problem based learning untuk memfasilitasi kecakapan pemecahan masalah matematis. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 12(2), 1987. https://doi.org/10.24127/ajpm.v12i2.6923
Tarmizi, R. A., & Bayat, S. (2012). Collaborative problem-based learning in mathematics: A cognitive load perspective. Procedia-Social and Behavioral Sciences, 32, 344-350. https://doi.org/10.1016/j.sbspro.2012.01.051
Tomesko, J., Cohen, D., & Bridenbaugh, J. (2022). Usinga virtual flipped classroom model to promote critical thinking in onlinegraduatecoursesin the United States: a case presentation. Journal of Educational Evaluation for Health Professions, 19, 1–6. https://doi.org/10.3352/jeehp.2022.19.5
Tosuncuoglu, I. (2018). Place of critical thinking in EFL. International Journal of Higher Education, 7(4), 26–32. https://doi.org/10.5430/ijhe.v7n4p26
Winarso, W., & Haqq, A. A. (2020). Where exactly for enhance critical and creative thinking: The use of problem posing or contextual learning. European Journal of Educational Research, 9(2), 877-887. https://doi.org/10.12973/eu-jer.9.2.877
DOI: http://dx.doi.org/10.24042/ajpm.v15i2.23788
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