The Effect of Collaborative Learning on Students’ Mathematical Communication and Problem-Solving Skills in Polyhedra
DOI:
https://doi.org/10.33474/jpm.v12i1.24909Keywords:
Collaborative Learming, Mathematical Communication, Problem-Solving, Polyhedra, Mathematics LearningAbstract
This study aims to determine the effect of the Collaborative Learning model on students’ mathematical communication skills and mathematical problem-solving skills in the topic of polyhedra (three-dimensional shapes with flat surfaces). This research employed a quantitative approach with a quasi-experimental method using a nonequivalent control group pretest–posttest design. The population of the study consisted of all eighth-grade students of MTs Manba’ul Ulum Dasan Ketujur, West Lombok. The sample comprised two classes selected through cluster random sampling, namely one experimental class and one control class, each consisting of 30 students. The research instrument was an essay test used to measure students’ mathematical communication skills and mathematical problem-solving skills. The data were analyzed using descriptive and inferential statistics, including the normality test, homogeneity test, independent samples t-test, and MANOVA test with the assistance of SPSS software. The results of the study indicate that students’ mathematical communication skills and mathematical problem-solving skills in the experimental class improved more significantly than those in the control class. The results of the independent samples t-test revealed a significant difference between the experimental and control classes. Furthermore, the MANOVA test results showed that the Collaborative Learning model simultaneously had a significant effect on improving students’ mathematical communication skills and mathematical problem-solving skills in the topic of polyhedra. The novelty of this study lies in examining the effectiveness of the Collaborative Learning model in improving two mathematical abilities simultaneously, namely mathematical communication skills and mathematical problem-solving skills on the topic of polyhedra (three-dimensional shapes with flat surfaces) using a multivariate analysis approach (MANOVA).
References
Aisyah, N. (2018). Problem-solving learning in mathematics. Jurnal Pendidikan Matematika, 12(2), 45–53. https://journal.univpancasila.ac.id/index.php/didacticalmathematics
Andrayani, A., Fitri, H., & Imamuddin, M. (2025). The effect of the collaborative learning model on the mathematical problem-solving ability of grade VIII students at SMPN 1 sasak ranah pesisir in the 2023 / 2024 academic year. TOFEDU: The Future of Education Journal, 4(4), 979–986. https://doi.org/10.61445/tofedu.v4i4.510
Aulia Hanifah, S. (2023). Analisis kemampuan komunikasi matematis siswa kelas VIII pada materi bangun ruang sisi datar. Jurnal Didactical Mathematics, 5, 539–549. https://journal.univpancasila.ac.id/index.php/didacticalmathematics
Dewi, R. S., & Yeyen, R. (2022). Analysis of students’ mathematical communication skills based on PISA results. Jurnal Pendidikan Matematika dan Sains, 10(1), 15–25. https://journal.uny.ac.id/index.php/jpms
Eha Soleha, I. (2024). Pengaruh Pembelajaran Kolaboratif Terintegrasi Computer Supported Collaborative Learning terhadap Kemampuan Komunikasi Matematis Siswa SMP. Jurnal Pendidikan MIPA, 14(Juni), 335–345. https://ejournal.undiksha.ac.id/index.php/JJPM](https://ejournal.undiksha.ac.id/index.php/JJPM)
Fahrudin, F. A., S., C., Hidayanto, E., & Susanto, H. (2024). Student ’ s reversible thinking processes : an analysis based on adversity quotient type climbers procesos de pensamiento reversible de los estudiantes : un análisis basado en escaladores de tipo cociente de adversidad. 13(1), 19–42. https://journal.unnes.ac.id/
Fahrudin, F. A., & Wardhani, I. S. (2025). Integrative-ınterconnective approach ın sets : a teaching material development for enhancing students ’ conceptual understanding. 8(1), 21–35. https://journal.uinsuka.ac.id/
Febriliati, Mira Marlina, Vidya Ayuningtyas. (2024). Penerapan model collaborative learning untuk meningkatkan literasi matematis dan aktivitas belajar siswa di kelas VII SMP. Jurnal Inovasi Dan Teknologi Pendidikan, 75–87. https://journal.uny.ac.id/index.php/jitp
Gillies, R. M. (2023). Using cooperative learning to enhance students’ learning and engagement during inquiry-based instruction. Education Sciences, 13(12), 1242. https://doi.org/10.3390/educsci13121242
Guntur, M. (2018). Students’ mathematical problem-solving skills in mathematics learning. Jurnal Pendidikan Matematika, 9(1), 1–10. https://ejournal.unsri.ac.id/index.php/jpm
Huda, M. (2017). Teaching and learning models. Yogyakarta: Pustaka Pelajar. https://pustakapelajar.co.id/
Johnson, D. W., & Johnson, R. T. (2014). Cooperative learning in 21st century. Anales de Psicología, 30(3), 841–851. https://doi.org/10.6018/analesps.30.3.201241
Kim, M. K., & Park, J. (2024). Linking scientific concepts with students’ personal daily lives: Using the metaphysical meaning of scientific concepts. Journal of Baltic Science Education, 23(5), 882–898. https://doi.org/10.33225/jbse/24.23.882.
Lestari, D., Darmawijoyo, & Aisyah, N. (2018). Development of APOS theory-based student worksheets on plane solid geometry material in junior high school with the context of Musi Banyuasin traditional houses. Kreano: Jurnal Matematika Kreatif-Inovatif, 9(1), 1–9. https://doi.org/10.15294/kreano.v9i1.11946
Laras, I. S., & Khasanah, K. (2021). Implementasi metode collaborative learning dalam pembelajaran statistika untuk meningkatkan keterampilan 4c ( critical and problem solving skills , collaboration skills , communication skills , and creativity and ınnovation skills ) pada siswa kelas XI. 2(1), 249–259. https://ejournal.unesa.ac.id/
Madzkiyah, A. F., & Arifin, S. (2024). Students ’ problem - solving skills based on polya ’ s stages. 7(2), 92–100. https://ejournal.unesa.ac.id/
NCTM. (2000). Principles and standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics. https://www.nctm.org/Standards-and-Positions/Principles-and-Standards/
Nurhayati, A., Sari, B. D., & Putri, C. L. (2022). The effect of small group interactions on students’ critical thinking and mathematical problem-solving skills. Jurnal Pendidikan Matematika, 10(1), 45–58. https://ejournal.unsri.ac.id/index.php/jpm
Polya, G. (1973). How to solve it: A new aspect of mathematical method (2nd ed.). Princeton, NJ: Princeton University Press. https://press.princeton.edu/books/paperback/9780691164076/how-to-solve-it
Pratiwi, D. D. (2019). Development of linear algebra teaching materials based on Islamic values using a scientific approach. Desimal: Jurnal Matematika, 2(2), 155–163.https://doi.org/10.24042/djm.v2i2.4200.
Sugiyono. (2019). Quantitative, qualitative, and R&D research methods. Bandung: Alfabeta. https://alfabeta.co.id/
Shinta Mariam, et al. (2019). Analysis of students’ mathematical problem-solving skills in Madrasah Aliyah on number pattern material. Jurnal on Education, 1(2), 157. https://jonedu.org/
Safitri, D. D., Nia, K., & Effendi, S. (2022). Kemampuan komunikasi matematis peserta didik smp pada materi bangun ruang sisi datar. 8(2), 99–114. https://jurnal.unsri.ac.id/index.php/jme
Supriadi. (2015). Students’ mathematical communication skills in mathematics learning. Jurnal Pendidikan Matematika, 6(2), 89–98. https://ejournal.unsri.ac.id/index.php/jpm
Tambunan, L. O. (2021). Meningkatkan kemampuan pemecahan masalah dan komunikasi matematis dengan strategi kooperatif tipe student teams achievement divisions. 06(01), 108–119. https://ejournal.unsri.ac.id/index.php/jpm
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