PENINGKATAN KEMAMPUAN BERFIKIR KRITIS MATEMATIS MELALUI IMPLEMENTASI PEMBELAJARAN RCODE (READING, CONNECTING, OBSERVING, DISCUSSING, EVALUATING)

Adi Candra Kusuma(1*), Gillang Al Azhar(2), Wahyu Tri Wahono(3), Dimas Rossiawan Hendra Putra(4), Agus Sukoco Heru Sumarmo(5), Arief Rahman Hidayat(6),

(1) Politeknik Negeri Malang
(2) Politeknik Negeri Malang
(3) Politeknik Negeri Malang
(4) Politeknik Negeri Malang
(5) Politeknik Negeri Malang
(6) Politeknik Negeri Malang
(*) Corresponding Author


Abstract


The observations indicate that mathematics learning processes that rely heavily on providing practical and procedural formulas tend to hinder the development of students’ critical thinking skills. Critical thinking is an essential competency for analyzing information, evaluating arguments, and making rational decisions; therefore, it is necessary for understanding higher-level mathematical concepts. This condition contributes to the low mathematical thinking ability of students, particularly in topics requiring analytical skills such as differential equations. This study aims to determine the improvement of students’ mathematical critical thinking skills through the implementation of the RCODE Learning Model among students of the DIII Electronics Engineering Program. This quantitative research involved 21 students from class IB in the even semester of the 2024/2025 academic year, focusing on second-order differential equations. Data were collected through mathematical critical thinking skill tests, response questionnaires, and interviews to support the quantitative findings. Data were analyzed using SPSS through normality tests, homogeneity tests, proportion tests, and N-gain calculations. The results show that the students’ achievement of the Minimum Mastery Criteria (KKM 67) was met both individually and classically, with a classical completeness percentage of 75%. The improvement in students’ Mathematical Critical Thinking Skills (MCTS) after the implementation of RCODE learning resulted in an N-gain value of 0.47, which falls into the moderate improvement category. The average MCTS score reached 8.19 on a 0–10 scale. More specifically, the problem understanding aspect (interpretation) obtained an average score of 8.55; the planning or modeling aspect (analysis) scored 8.26; the implementation and calculation aspect (evaluation) scored 7.92; and the conclusion-drawing aspect (inference) scored 8.03. These findings show that the RCODE learning model positively contributes to improving students’ MCTS, particularly in helping them understand concepts, analyze strategies, and evaluate solutions in second-order differential equation topics.


Keywords


Critical Thinking; Learning; RCODE

References


Adi Candra Kusuma, Almas Adibah, Gillang Al Azhar, & Edi Sulistio Budi. (2023). Implementation of Problem Based Learning Assisted by Learning Management System to Improve Students’ Mathematical Communication Skills. Hipotenusa: Journal of Mathematical Society, 5(2), 169–181. https://doi.org/10.18326/hipotenusa.v5i2.300

Afdal, R. A., Hasanuddin, H., Saenab, S., & Makassar, U. N. (2024a). Celebes Science Education-CSE Penerapan Model Pembelajaran Reading, Connecting, Observing, Discussing, Evaluating (ReCODE) untuk Meningkatkan Keterampilan Berpikir Kritis Peserta Didik Kelas VIII SMP IT Nurul Fikri. 3(1). https://doi.org/10.26858/cse.v3i1

Afdal, R. A., Hasanuddin, H., Saenab, S., & Makassar, U. N. (2024b). Penerapan Model Pembelajaran Reading, Connecting, Observing, Discussing, Evaluating (ReCODE) untuk Meningkatkan Keterampilan Berpikir Kritis Peserta Didik Kelas VIII SMP IT Nurul Fikri. Celebes Science Education, 3(1), 1–10. https://doi.org/10.26858/cse.v3i1

Agus, I., & Purnama, A. N. (2022a). Kemampuan Berpikir Kritis Matematika Siswa: Studi pada Siswa SMPN Satu Atap. Jurnal Pendidikan Matematika Raflesia, 07(01), 65–74. https://ejournal.unib.ac.id/index.php/jpmr

Agus, I., & Purnama, A. N. (2022b). Kemampuan Berpikir Kritis Matematika Siswa: Studi pada Siswa SMPN Satu Atap. Jurnal Pendidikan Matematika Raflesia, 07(01), 65–74. https://ejournal.unib.ac.id/index.php/jpmr

Al Farisy, I., & Muthmainnah, R. N. (2024). Meningkatkan Berpikir Kritis: Implementasi Materi Asking and Giving Opinion dalam Kelas Bahasa Inggris SMA. Seminar Nasional Pendidikan UMJ, 2835–2838.

Anggraini, N. P., Siagian, T. A., & Agustinsa, R. (2022). Analisis Kemmapuan Berfikir Kritis Matematis Siswa dalam Menyelesaikan Soal Berbasis AKM. ALGORITMA: Journal of Mathematics Education, 4(1), 58–78. https://doi.org/10.15408/ajme.v4i1.25325

Bunga Nurul Aini Rahayu, & Nuriana Rachmani Dewi. (2022). Kajian Teori: Kemampuan Berpikir Kritis Matematis Ditinjau dari Rasa Ingin Tahu pada Model Pembelajaran Preprospec Berbantu TIK. Prosiding Seminar Nasional Matematika, 297–303.

Dian Oktaviani, A., Shoffa, S., & Kristanti, F. (2023). Kemampuan Berpikir Kritis dalam Pembelajaran Matematika melalui Pendekatan Contextual Teaching and Learning. Journal of Education and Teaching (JET), 4(2), 276–282. https://doi.org/10.51454/jet.v4i2.234

Fitriana, A., Marsitin, R., & Ferdiani, R. D. (2019). Analisis Berfikir Kritis Matematis dalam Menyelesaikan Soal Matematika. Jurnal Terapan Sains & Teknologi, 1(3), 92–96.

Kurniawan, F. A., Nurfahrudianto, A., & Yohanie, D. D. (2023). Kemampuan Berpikir Kritis Matematis Ditinjau Dari Hasil Belajar Siswa. Jurnal Ilmiah Pendidikan Citra Bakti, 10(3), 636–649. https://doi.org/10.38048/jipcb.v10i3.2077

Kusuma, A. C., & Junus, M. (2022). PENGEMBANGAN PERANGKAT PEMBELAJARAN DARING DENGAN PENDEKATAN PROBLEM BASED LEARNING UNTUK MENINGKATKAN KEMAMPUAN PEMECAHAN MASALAH MATEMATIK MAHASISWA. 8(1), 37–46.

Popović, B., Dimitrijević, S., Stanić, M., & Milenković, A. (2022). Students’ Success In Solving Mathematical Problems Depending On Different Representations. Teaching of Mathematics, 25(2), 74–92. https://doi.org/10.57016/TM-BAPU1403

Pourdavood, B. R., McCarthy, K., & McCafferty, T. (2020). The impact of mental computation on children’s mathematical communication, problem solving, reasoning, and algebraic thinking. Athens Journal of Education, 7(3), 241–254. https://doi.org/10.30958/aje.7-3-1

Putri, A., Sumardani, D., Rahayu, W., & Hajizah, M. N. (2020). Kemampuan Berfikir Kritis Matematis Menggunakan Model Generative Learning dan Connecting, Organizing, Reflecting, Extending (CORE). AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(1), 108. https://doi.org/10.24127/ajpm.v9i1.2617

Rahmaini, N., & Chandra, S. O. (2024). Pentingnya Berpikir Kritis Dalam Pembelajaran Matematika. Journal of Mathematics Education and Application, 4(1), 1–8. https://mathjournal.unram.ac.id/index.php/Griya/indexGriya

Sari, N. I., Indrawati, I., & Astutik, S. (2023). Pengembangan Model Pembelajaran RGOSA (Reading, Giving Opinion, Observing, Searching, dan Assesing) untuk Meningkatkan Keterampilan Berpikir Kritis Siswa di SMP. Konstruktivisme : Jurnal Pendidikan Dan Pembelajaran, 15(2), 246–256. https://doi.org/10.35457/konstruk.v15i2.2850

Taufik Qurohman, M., Wijayanto, Z., & Suwarto, S. (2025). Investigating Critical Thinking Indicators in the Context of Algebra Problem Solving: A Study in Indonesia ARTICLE HISTORY. Journal of Ultimate Research and Trends in Education, 7(2), 99–110. https://doi.org/10.31849/utamax.v7i2.27130

Wilkinson, L. C., Bailey, A. L., & Maher, C. A. (2018). Students’ Mathematical Reasoning, Communication, and Language Representations: A Video-Narrative Analysis. ECNU Review of Education, 1(3), 1–22. https://doi.org/10.30926/ecnuroe

Yulia, E. R., & Ferdianto, F. (2023). Analisis Kemampuan Berpikir Kritis Matematis Siswa pada Materi Trigonometri Ditinjau dari Motivasi Belajar. Pasundan Journal of Mathematics Education : Jurnal Pendidikan Matematika, Vol 13 No 1, 30–44. https://doi.org/10.23969/pjme.v13i1.7427

Yuniar, M., Hermawan, Y., Roro Suci Nurdianti, R., Siliwangi No, J., Tawang, K., Tasikmalaya, K., & Barat, J. (2023a). Penerapan Model Pembelajaran Roar (Read, Observe, Auditory, Review) Berbantukan Media Baamboozle Dalam Meningkatkan Pemahaman Konsep Peserta Didik Pada Mata Pelajaran Ekonomi Kelas XI. Jurnal Sains Student Research, 1(1), 536–548. https://doi.org/10.61722/jssr.v1i1.193

Yuniar, M., Hermawan, Y., Roro Suci Nurdianti, R., Siliwangi No, J., Tawang, K., Tasikmalaya, K., & Barat, J. (2023b). Penerapan Model Pembelajaran Roar (Read, Observe, Auditory, Review) Berbantukan Media Baamboozle Dalam Meningkatkan Pemahaman Konsep Peserta Didik Pada Mata Pelajaran Ekonomi Kelas XI. Jurnal Sains Student Research, 1(1), 536–548. https://doi.org/10.61722/jssr.v1i1.193




DOI: http://dx.doi.org/10.24127/ajpm.v15i1.14747

Refbacks

  • There are currently no refbacks.