IMPLEMENTASI PEMBELAJARAN BERDIFERENSIASI DENGAN MODEL PROBLEM BASED LEARNING DALAM MENINGKATKAN KEMAMPUAN PEMECAHAN MASALAH MATEMATIS
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Tujuan penelitian untuk menyelidiki adanya peningkatan kemampuan pemecahan masalah matematis peserta didik pada pembelajaran berdiferensiasi dengan model Problem Based Learning. Metode penelitian kuantitatif ini menggunakan desain eksperimen one group pretest posttest. Teknik pengambilan data melalui metode tes. Data penelitian dianalisis dengan uji banding rata-rata dan uji N-Gain. Hasil penelitian menunjukkan bahwa pembelajaran berdiferensiasi dengan model Problem Based Learning, guru aktif membimbing peserta didik dan memberi umpan balik yang konstruktif. Sedangkan peserta didik aktif berdiskusi dan berkolaborasi dalam pemecahan masalah. Kemampuan peserta didik dalam pemecahan masalah matematis secara klasikal telah melebihi standar KKM yang ditentukan. Berdasarkan uji statistik menunjukkan adanya perbedaan rata-rata yang signifikan antara kemampuan pemecahan masalah matematis sebelum dan sesudah pembelajaran berdiferensiasi dengan model Problem Based Learning. Dengan demikian, dapat disimpulkan bahwa pembelajaran berdiferensiasi dengan model Problem Based Learning dapat meningkatkan kemampuan pemecahan masalah matematis secara signifikan.
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Amalia, E., Surya, E., & Syahputra, E. (2017). The effectiveness of using problem-based learning (PBL) in mathematics problem solving ability for junior high school students. Ijariie, 3(2), 2017. https://www.researchgate.net/publication/318982082
Arends, R. I. (2012). Learning to Teach. Yogyakarta: Pustaka Pelajar.
Aslan, A. (2021). Problem- based learning in live online classes: Learning achievement, problem-solving skill, communication skill, and interaction. Computers and Education, 171(November 2020), 1–15. https://doi.org/10.1016/j.compedu.2021.104237
Atikah, I., Fauzi, M. A. R., & Firmansyah, R. (2024). Penerapan Strategi Diferensiasi Konten dan Proses Pada Gaya Belajar Berbasis Model Problem Based Learning. PTK: Jurnal Penelitian Tindakan Kelas, 1(2), 11. https://doi.org/10.47134/ptk.v1i2.57
Cheng, X., Su, L., & Zarifis, A. (2019). Designing a talents training model for cross-border e-commerce: a mixed approach of problem-based learning with social media. Electronic Commerce Research, 19(4), 801–822. https://doi.org/10.1007/s10660-019-09341-y
Darma, I. K., Candiasa, I. M., Sadia, I. W., & Dantes, N. (2018). The effect of problem based learning model and authentic assessment on mathematical problem solving ability by using numeric ability as the covariable. Journal of Physics: Conference Series, 1, 1–11. https://doi.org/10.1088/1742-6596/1040/1/012035
Fanani, M. A., Wafiroh, Z., & Yaqin, M. H. (2024). Penerapan Model Problem Based Learning (PBL) dalam Pembelajaran Berdiferensiasi untuk Meningkatkan Keterampilan Berpikir Kritis Peserta Didik pada Pelajaran Matematika. Proceeding International Conference on Lesson Study, 1(1), 537. https://doi.org/10.30587/icls.v1i1.7426
Fitriyana, D., & Sutirna. (2022). Analisis Kemampuan Pemecahan Masalah Matematis Siswa Kelas VII Pada Materi Himpunan. Jurnal Educatio FKIP UNMA, 8(2), 512–520. https://doi.org/10.31949/educatio.v8i2.1990
Komala, E. (2017). Mathematical Resilience Mahasiswa pada Mata Kuliah Struktur Aljabar I Menggunakan Pendekatan Explisit Instruction Integrasi Peer Instruction. Mosharafa: Jurnal Pendidikan Matematika, 6(3), 357–364. https://doi.org/10.31980/mosharafa.v6i3.458
Lukitawanti, D. S., Istyowati, A., & Pratiwi, Y. (2024). Model Discovery Learning Terintegrasi Pembelajaran Diferensiasi untuk Memaksimalkan Kemampuan Pemecahan Masalah Siswa Kelas X pada Materi Vektor. Seminar Nasional PPG UNIKAMA, 1, 730–748. https://conference.unikama.ac.id/artikel/%0Ahttp://journal3.um.ac.id/index.php/mipa/article/download/3968/2584/7781
Meika, I., Pratidiana, D., & Safitri, E. (2022). Analisis Kemampuan Pemecahan Masalah Matematis Siswa Kelas VII Dalam Menyelesaikan Soal Cerita Pada Materi Himpunan. SJME (Supremum Journal of Mathematics Education), 6(1), 75–84. https://doi.org/10.35706/sjme.v6i1.5764
NCTM. (2000). Principles and Standars for School Mathematics. America : The National Council of Teachers of Mathematics.
Nugraha, A. A., Harum, L., & Al Mujadidi, S. (2023). Pembelajaran Berdiferensiasi pada Model Problem-based Learning untuk Meningkatkan Keaktifan dan Prestasi Belajar Matematika Peserta Didik. Prosiding Seminar Nasional Pendidikan …, November, 1246–1256. https://conference.upgris.ac.id/index.php/psnppg/article/download/5257/4064
Nur, A. F., Supandi, S., Purwanto, P., & Rahmawati, N. D. (2024). Efektivitas Pembelajaran Berdiferensiasi dengan Model PBL Terhadap Kemampuan Pemecahan Masalah Peserta Didik Pada Materi Relasi dan Fungsi. Innovative: Journal Of Social Science Research, 4(4), 5684–5692.
Peranginangin, S. A., Saragih, S., & Siagian, P. (2019). Development of Learning Materials through CTL with Karo Culture Context to Improve Students’ Problem Solving Ability and Self-Efficacy. IEJME: International Electronic Journal of Mathematics Education, 14(2), 265–274. https://doi.org/10.4108/eai.1-11-2022.2326212
Peranginangin, S. A., & Surya, E. (2017). An Analysis of Students’ Mathematics Problem Solving Ability in VII Grade at SMP Negeri 4 Pancurbatu. International Journal of Sciences: Basic and Applied Research, 33(2), 57–67. http://gssrr.org/index.php?journal=JournalOfBasicAndApplied
Phungsuk, R., Viriyavejakul, C., & Ratanaolarn, T. (2017). Development of a problem-based learning model via a virtual learning environment. Kasetsart Journal of Social Sciences, 38(3), 297–306. https://doi.org/10.1016/j.kjss.2017.01.001
Polya, G. (1957). How to solve it: a new aspect of mathematical method second edition. In Princeton University Press: United States of America, 2, 253. http://www.jstor.org/stable/3609122?origin=crossref
Rahmawati, N. W., Fira, S., Arifin, A., & Amin, M. (2024). Pengaruh Model Pembelajaran Problem Based Learning pada Pembelajaran Diferensiasi Proses Untuk Meningkatkan Motivasi Belajar Peserta Didik Pada Pembelajaran IPAS di MI Tambak Sumur Waru The Influence of Problem Based Learning Model on Differentiated Learn. Jurnal Kolaboratif Sains, 7(9), 3512–3519. https://doi.org/10.56338/jks.v7i9.6088
Rusman. (2012). Model-Model pembelajaran Mengembangkan Profesionalisme Guru Edisi Dua. PT Raja Grafindo Persada: Jakarta.
Shafira, I., Rahayu, F. F., Rahman, F. R., Mawarni, J., & Fitriani, D. (2023). Penerapan Model Problem Based Learning Berbasis Berdiferensiasi berdasarkan Gaya Belajar Peserta didik pada Pelajaran Biologi Materi Ekosistem Kelas X SMA. Journal on Education, 6(1), 48–53. https://doi.org/10.31004/joe.v6i1.2912
Shidiq, S., & Ardiansyah, A. S. (2023). Peningkatan Kemampuan Pemecahan Masalah pada Pembelajaran Berdiferensiasi Berbasis Asesmen Diagnostik pada Model Problem Based Learning. Seminar Nasional Sosial Sains, Pendidikan, Humaniora (SENASSDRA), 2(1), 921–930. http://prosiding.unipma.ac.id/index.php/SENASSDRA
Siagian, M. V., Saragih, S., & Sinaga, B. (2019). Development of Learning Materials Oriented on Problem-Based Learning Model to Improve Students’ Mathematical Problem Solving Ability and Metacognition Ability. IEJME: International Electronic Journal of Mathematics Education, 14(2), 331–340. https://doi.org/10.12973/EU-JER.11.4.1947
Simamora, R. E., Saragih, S., & Hasratuddin, H. (2018). Improving Students’ Mathematical Problem Solving Ability and Self-Efficacy through Guided Discovery Learning in Local Culture Context. International Electronic Journal of Mathematics Education, 14(1), 61–72. https://doi.org/10.12973/iejme/3966
Simanjuntak, M. P., Hutahaean, J., Marpaung, N., & Ramadhani, D. (2021). Effectiveness of problem-based learning combined with computer simulation on students’ problem-solving and creative thinking skills. International Journal of Instruction, 14(3), 519–534. https://doi.org/10.29333/iji.2021.14330a
Sulistyani, D., Roza, Y., & Maimunah. (2020). Hubungan Kemandirian Belajar dengan Kemampuan Pemecahan Masalah Matematis. Jurnal Pendidikan Matematika, 11(1), 1–12. https://doi.org/http://dx.doi.org/10.36709/jpm.v11i1.9638
Surya, E., Putri, F. A., & Mukhtar. (2017). Improving mathematical problem-solving ability and self-confidence of high school students through contextual learning model. Journal on Mathematics Education, 8(1), 85–94. https://doi.org/10.22342/jme.8.1.3324.85-94
Syiamfitri, L. (2024). Pengaruh Penerapan Pendekatan Berdiferensiasi Berbasis Model Problem Based Learning Terhadap Hasil Belajar Matematika Siswa Kelas IV SD Kecamatan Rao Selatan Kabupaten Pasaman. INNOVATIVE: Journal Of Social Science Research, 4(6), 1833–1841.
Tanjung, S., Baharuddin, Ampera, D., Farihah, & Jahidin, I. (2022). Problem Based Learning (PBL) Model with Technological, Pedagogical, and Content Knowledge (TPACK) Approach. International Journal of Education in Mathematics, Science and Technology, 10(3), 740–752. https://doi.org/10.46328/ijemst.2510
Yapatang, L., & Polyiem, T. (2022). Development of the Mathematical Problem-Solving Ability Using Applied Cooperative Learning and Polya’s Problem-Solving Process for Grade 9 Students. Journal of Education and Learning, 11(3), 40. https://doi.org/10.5539/jel.v11n3p40
Yew, E. H. J., & Goh, K. (2016). Problem-Based Learning: An Overview of its Process and Impact on Learning. Health Professions Education, 2(2), 75–79. https://doi.org/10.1016/j.hpe.2016.01.004
Zuhaida, K., Purnamasari, V., Saputro, S. A., Ayu, N., & Muniarti, N. (2024). Analisis Pembelajaran Berdiferensiasi Produk Berbasis Problem Based Learning Kelas 1 SDN Pandean Lamper 03 Semarang. Ceria (Cerdas Energik Responsif Inovatif Adaptif), 7(5), 451–463. https://journal.ikipsiliwangi.ac.id/index.php/ceria/article/view/24740
Arends, R. I. (2012). Learning to Teach. Yogyakarta: Pustaka Pelajar.
Aslan, A. (2021). Problem- based learning in live online classes: Learning achievement, problem-solving skill, communication skill, and interaction. Computers and Education, 171(November 2020), 1–15. https://doi.org/10.1016/j.compedu.2021.104237
Atikah, I., Fauzi, M. A. R., & Firmansyah, R. (2024). Penerapan Strategi Diferensiasi Konten dan Proses Pada Gaya Belajar Berbasis Model Problem Based Learning. PTK: Jurnal Penelitian Tindakan Kelas, 1(2), 11. https://doi.org/10.47134/ptk.v1i2.57
Cheng, X., Su, L., & Zarifis, A. (2019). Designing a talents training model for cross-border e-commerce: a mixed approach of problem-based learning with social media. Electronic Commerce Research, 19(4), 801–822. https://doi.org/10.1007/s10660-019-09341-y
Darma, I. K., Candiasa, I. M., Sadia, I. W., & Dantes, N. (2018). The effect of problem based learning model and authentic assessment on mathematical problem solving ability by using numeric ability as the covariable. Journal of Physics: Conference Series, 1, 1–11. https://doi.org/10.1088/1742-6596/1040/1/012035
Fanani, M. A., Wafiroh, Z., & Yaqin, M. H. (2024). Penerapan Model Problem Based Learning (PBL) dalam Pembelajaran Berdiferensiasi untuk Meningkatkan Keterampilan Berpikir Kritis Peserta Didik pada Pelajaran Matematika. Proceeding International Conference on Lesson Study, 1(1), 537. https://doi.org/10.30587/icls.v1i1.7426
Fitriyana, D., & Sutirna. (2022). Analisis Kemampuan Pemecahan Masalah Matematis Siswa Kelas VII Pada Materi Himpunan. Jurnal Educatio FKIP UNMA, 8(2), 512–520. https://doi.org/10.31949/educatio.v8i2.1990
Komala, E. (2017). Mathematical Resilience Mahasiswa pada Mata Kuliah Struktur Aljabar I Menggunakan Pendekatan Explisit Instruction Integrasi Peer Instruction. Mosharafa: Jurnal Pendidikan Matematika, 6(3), 357–364. https://doi.org/10.31980/mosharafa.v6i3.458
Lukitawanti, D. S., Istyowati, A., & Pratiwi, Y. (2024). Model Discovery Learning Terintegrasi Pembelajaran Diferensiasi untuk Memaksimalkan Kemampuan Pemecahan Masalah Siswa Kelas X pada Materi Vektor. Seminar Nasional PPG UNIKAMA, 1, 730–748. https://conference.unikama.ac.id/artikel/%0Ahttp://journal3.um.ac.id/index.php/mipa/article/download/3968/2584/7781
Meika, I., Pratidiana, D., & Safitri, E. (2022). Analisis Kemampuan Pemecahan Masalah Matematis Siswa Kelas VII Dalam Menyelesaikan Soal Cerita Pada Materi Himpunan. SJME (Supremum Journal of Mathematics Education), 6(1), 75–84. https://doi.org/10.35706/sjme.v6i1.5764
NCTM. (2000). Principles and Standars for School Mathematics. America : The National Council of Teachers of Mathematics.
Nugraha, A. A., Harum, L., & Al Mujadidi, S. (2023). Pembelajaran Berdiferensiasi pada Model Problem-based Learning untuk Meningkatkan Keaktifan dan Prestasi Belajar Matematika Peserta Didik. Prosiding Seminar Nasional Pendidikan …, November, 1246–1256. https://conference.upgris.ac.id/index.php/psnppg/article/download/5257/4064
Nur, A. F., Supandi, S., Purwanto, P., & Rahmawati, N. D. (2024). Efektivitas Pembelajaran Berdiferensiasi dengan Model PBL Terhadap Kemampuan Pemecahan Masalah Peserta Didik Pada Materi Relasi dan Fungsi. Innovative: Journal Of Social Science Research, 4(4), 5684–5692.
Peranginangin, S. A., Saragih, S., & Siagian, P. (2019). Development of Learning Materials through CTL with Karo Culture Context to Improve Students’ Problem Solving Ability and Self-Efficacy. IEJME: International Electronic Journal of Mathematics Education, 14(2), 265–274. https://doi.org/10.4108/eai.1-11-2022.2326212
Peranginangin, S. A., & Surya, E. (2017). An Analysis of Students’ Mathematics Problem Solving Ability in VII Grade at SMP Negeri 4 Pancurbatu. International Journal of Sciences: Basic and Applied Research, 33(2), 57–67. http://gssrr.org/index.php?journal=JournalOfBasicAndApplied
Phungsuk, R., Viriyavejakul, C., & Ratanaolarn, T. (2017). Development of a problem-based learning model via a virtual learning environment. Kasetsart Journal of Social Sciences, 38(3), 297–306. https://doi.org/10.1016/j.kjss.2017.01.001
Polya, G. (1957). How to solve it: a new aspect of mathematical method second edition. In Princeton University Press: United States of America, 2, 253. http://www.jstor.org/stable/3609122?origin=crossref
Rahmawati, N. W., Fira, S., Arifin, A., & Amin, M. (2024). Pengaruh Model Pembelajaran Problem Based Learning pada Pembelajaran Diferensiasi Proses Untuk Meningkatkan Motivasi Belajar Peserta Didik Pada Pembelajaran IPAS di MI Tambak Sumur Waru The Influence of Problem Based Learning Model on Differentiated Learn. Jurnal Kolaboratif Sains, 7(9), 3512–3519. https://doi.org/10.56338/jks.v7i9.6088
Rusman. (2012). Model-Model pembelajaran Mengembangkan Profesionalisme Guru Edisi Dua. PT Raja Grafindo Persada: Jakarta.
Shafira, I., Rahayu, F. F., Rahman, F. R., Mawarni, J., & Fitriani, D. (2023). Penerapan Model Problem Based Learning Berbasis Berdiferensiasi berdasarkan Gaya Belajar Peserta didik pada Pelajaran Biologi Materi Ekosistem Kelas X SMA. Journal on Education, 6(1), 48–53. https://doi.org/10.31004/joe.v6i1.2912
Shidiq, S., & Ardiansyah, A. S. (2023). Peningkatan Kemampuan Pemecahan Masalah pada Pembelajaran Berdiferensiasi Berbasis Asesmen Diagnostik pada Model Problem Based Learning. Seminar Nasional Sosial Sains, Pendidikan, Humaniora (SENASSDRA), 2(1), 921–930. http://prosiding.unipma.ac.id/index.php/SENASSDRA
Siagian, M. V., Saragih, S., & Sinaga, B. (2019). Development of Learning Materials Oriented on Problem-Based Learning Model to Improve Students’ Mathematical Problem Solving Ability and Metacognition Ability. IEJME: International Electronic Journal of Mathematics Education, 14(2), 331–340. https://doi.org/10.12973/EU-JER.11.4.1947
Simamora, R. E., Saragih, S., & Hasratuddin, H. (2018). Improving Students’ Mathematical Problem Solving Ability and Self-Efficacy through Guided Discovery Learning in Local Culture Context. International Electronic Journal of Mathematics Education, 14(1), 61–72. https://doi.org/10.12973/iejme/3966
Simanjuntak, M. P., Hutahaean, J., Marpaung, N., & Ramadhani, D. (2021). Effectiveness of problem-based learning combined with computer simulation on students’ problem-solving and creative thinking skills. International Journal of Instruction, 14(3), 519–534. https://doi.org/10.29333/iji.2021.14330a
Sulistyani, D., Roza, Y., & Maimunah. (2020). Hubungan Kemandirian Belajar dengan Kemampuan Pemecahan Masalah Matematis. Jurnal Pendidikan Matematika, 11(1), 1–12. https://doi.org/http://dx.doi.org/10.36709/jpm.v11i1.9638
Surya, E., Putri, F. A., & Mukhtar. (2017). Improving mathematical problem-solving ability and self-confidence of high school students through contextual learning model. Journal on Mathematics Education, 8(1), 85–94. https://doi.org/10.22342/jme.8.1.3324.85-94
Syiamfitri, L. (2024). Pengaruh Penerapan Pendekatan Berdiferensiasi Berbasis Model Problem Based Learning Terhadap Hasil Belajar Matematika Siswa Kelas IV SD Kecamatan Rao Selatan Kabupaten Pasaman. INNOVATIVE: Journal Of Social Science Research, 4(6), 1833–1841.
Tanjung, S., Baharuddin, Ampera, D., Farihah, & Jahidin, I. (2022). Problem Based Learning (PBL) Model with Technological, Pedagogical, and Content Knowledge (TPACK) Approach. International Journal of Education in Mathematics, Science and Technology, 10(3), 740–752. https://doi.org/10.46328/ijemst.2510
Yapatang, L., & Polyiem, T. (2022). Development of the Mathematical Problem-Solving Ability Using Applied Cooperative Learning and Polya’s Problem-Solving Process for Grade 9 Students. Journal of Education and Learning, 11(3), 40. https://doi.org/10.5539/jel.v11n3p40
Yew, E. H. J., & Goh, K. (2016). Problem-Based Learning: An Overview of its Process and Impact on Learning. Health Professions Education, 2(2), 75–79. https://doi.org/10.1016/j.hpe.2016.01.004
Zuhaida, K., Purnamasari, V., Saputro, S. A., Ayu, N., & Muniarti, N. (2024). Analisis Pembelajaran Berdiferensiasi Produk Berbasis Problem Based Learning Kelas 1 SDN Pandean Lamper 03 Semarang. Ceria (Cerdas Energik Responsif Inovatif Adaptif), 7(5), 451–463. https://journal.ikipsiliwangi.ac.id/index.php/ceria/article/view/24740