PENGARUH MODEL PEMBELAJARAN PROBLEM BASED LEARNING TERHADAP KEMAMPUAN PEMAHAMAN KONSEP MATEMATIKA KELAS VII PADA MATERI BANGUN DATAR DI UPTD SMPN 7 PEMATANG SIANTAR

Authors

  • Putra Agustinus Pasaribu Universitas HKBP Nommensen Pematangsiantar
  • Yanti Maria Marbun Universitas HKBP Nommensen Pematangsiantar
  • Rick Hunter Simanungkalit Universitas HKBP Nommensen Pematangsiantar

DOI:

https://doi.org/10.61722/jinu.v2i3.4438

Keywords:

Problem Based Learning, mathematical conceptual understanding, plane figures, mathematics learning, junior high school.

Abstract

This study aims to determine the effect of the Problem Based Learning (PBL) model on the mathematical conceptual understanding of seventh-grade students on the topic of plane figures at UPTD SMPN 7 Pematang Siantar. The research employed a quantitative approach using an experimental method with a One-Group Posttest Design, involving a single class of 32 students who received instruction through the PBL model. The students’ conceptual understanding was then measured using tests and questionnaires. The research instruments included a questionnaire, test, and lesson plans (RPP).The data analysis showed that the PBL model had a positive and significant effect on students’ mathematical conceptual understanding. The simple linear regression analysis produced the equation Y = -30.663 + 1.593X, indicating that for every one-unit increase in students’ perception of PBL, their conceptual understanding score increased by 1.593 points. The coefficient of determination (R²) was 0.988, meaning that 98.8% of the variance in conceptual understanding was explained by students’ perceptions of PBL implementation, while the remaining 1.2% was influenced by other factors. The t-test results showed that the calculated t-value (48.912) was much greater than the critical t-value (2.042), with a significance value of 0.000 < 0.05, indicating that the null hypothesis (H₀) was rejected and the alternative hypothesis (H₁) was accepted.In conclusion, the PBL model is effective in improving students’ mathematical conceptual understanding, particularly in topics requiring strong conceptual grasp such as plane figures. The implementation of this model is highly recommended in junior high school mathematics instruction to create an active, contextual, and student-centered learning environment.

References

Abdurrahman, M. (2003). Pendidikan Bagi Anak Berkesulitan Belajar. Jakarta: Rineka Cipta.

Alexander, D. C., & Koeberlein, G. M. (2021). Elementary Geometry for College Students (6th ed.). Cengage Learning.

Amir, M. T. (2018). Inovasi Pendidikan Melalui Problem Based Learning: Bagaimana Pendidik Memberdayakan Pemelajar di Era Pengetahuan. Halaman 158.

Anderson, L. W., & Krathwohl, D. R. (2018). Kerangka Landasan untuk Pembelajaran, Pengajaran dan Asesmen. Halaman 70.

Anwar, B., & Saputra, H. (2018). Faktor-Faktor yang Mempengaruhi Pemahaman Konsep Matematika. Jurnal Pendidikan Matematika, 6(3), 75-88.

Arends, R. I. (2013). Learning to Teach (Belajar untuk Mengajar).

Arends, R. I. (2018). Learning to Teach (10th ed.). New York: McGraw-Hill Education.

Arends, R. I. (2021). Learning to Teach (Belajar untuk Mengajar).

Arikunto, S. (2002). Prosedur Penelitian: Suatu Pendekatan Praktik. Jakarta: Rineka Cipta.

Arikunto, S. (2016). Dasar-Dasar Evaluasi Pendidikan (Edisi Revisi). Jakarta: Bumi Aksara.

Arikunto, S. (2020). Prosedur Penelitian: Suatu Pendekatan Praktik (Edisi Revisi). Jakarta: Rineka Cipta.

Arni, N., & Puspita Sari, M. (n.d.). Pengaruh Model Problem Based Learning (PBL) Terhadap Kemampuan Pemecahan Masalah Matematika Siswa pada Materi Perbandingan Kelas VII SMP Swasta PAB 1 Klumpang.

Aryanti, R. (2023). Persepsi Siswa dalam Pembelajaran. Bandung: Penerbit Angkasa.

Aryanti, S. (2023). Memahami Persepsi Siswa dalam Konteks Pembelajaran: Teori dan Implementasi. Jurnal Pendidikan Indonesia, 8(2), 112-125.

Barrow, H. S., & Min, L. H. (2005). Problem-Based Learning: The Future Frontiers.

Barrows, H. S. (2018). Problem-Based Learning in Medicine and Beyond: A Brief Overview. Halaman 119.

Barrows, H. S., & Tamblyn, R. M. (2016). Problem-based learning: An approach to medical education. Springer Publishing Company.

Bass, L. E., Johnson, J. J., & Morrow, A. S. (2023). Mathematics for Elementary School Teachers (7th ed.). Pearson Education.

Campbell, D. T., & Stanley, J. C. (2015). Experimental and quasi-experimental designs for research. Ravenio Books.

Clemens, S. R., O'Daffer, P. G., & Cooney, T. J. (2020). Geometry with Applications and Problem Solving. Addison-Wesley.

Clemens, S. R., O'Daffer, P. G., & Cooney, T. J. (2022). Exploring Geometry. Addison-Wesley.

Duch, B. J. (1995). What is Problem-Based Learning? About Teaching: A Newsletter of the Center for Teaching Effectiveness, 47(1), 1-7.

Fraenkel, J. R., & Wallen, N. E. (2018). How to design and evaluate research in education. McGraw-Hill Education.

Hidayat, R. (2024). Peran Persepsi Siswa dalam Evaluasi Model Pembelajaran. Jurnal Penelitian Pendidikan, 12(1), 45-58.

Hidayat, T. (2024). Evaluasi Model Pembelajaran. Jakarta: Penerbit Erlangga.

Hmelo-Silver, C. E. (2004). Problem-based learning: What and how do students learn? Educational Psychology Review, 16(3), 235-266.

Hmelo-Silver, C. E. (2019). Problem-Based Learning: What and How Do Students Learn? Halaman 235.

Janah, R., Suyitno, H., & Rosyida, I. (2018). Pentingnya Literasi Matematika dan Berpikir Kritis Matematis dalam Menghadapi Abad ke-21.

Johnson, R. T., & Adams, S. (2021). Meta-analysis of problem-based learning effects on students' mathematics achievement. Journal of Research in Mathematics Education, 15(2), 78-96.

Joyce, B., & Weil, M. (2016). Models of Teaching (9th ed.). Boston: Pearson Education.

Kementerian Pendidikan dan Kebudayaan. (2016). Peraturan Menteri Pendidikan dan Kebudayaan Nomor 22 Tahun 2016 tentang Standar Proses Pendidikan Dasar dan Menengah. Jakarta: Kemendikbud.

Kilpatrick, J., & Findell, B. (2021). Adding It Up: Helping Children Learn Mathematics. Halaman 116.

Kusni, A. (2018). Geometri Transformasi. Yogyakarta: Penerbit Graha Ilmu.

Kusni, A. (2023). Geometri Lanjut. Surabaya: Penerbit Cipta Media.

Lestari, K. E., & Yudhanegara, M. R. (2021). Penelitian Pendidikan Matematika. Halaman 81.

Lestari, K. E., & Yudhanegara, M. R. (2021). Penelitian Pendidikan Matematika: Panduan Praktis Menyusun Skripsi, Tesis, dan Karya Ilmiah dengan Model Kuantitatif, Kualitatif, dan Kombinasi. Bandung: PT Refika Aditama.

Marbun, Y. M. R. (2020). Peningkatan Kemampuan Pemecahan Masalah dan Disposisi Matematis Siswa Melalui Model Pembelajaran Berbasis Masalah (PBM). Jurnal Keguruan Dan Ilmu Pendidikan Matematika, 1(2), 35–43.

National Council of Teachers of Mathematics (NCTM). (2020). Principles and Standards for School Mathematics. Halaman 147.

Nurhayati, A. (2022). Penerapan Model Problem Based Learning untuk Meningkatkan Kemampuan Pemecahan Masalah Matematis Siswa SMP. Jurnal Pendidikan Matematika, 7(2), 145-158.

Nurhayati, S. (n.d.). Pengaruh Model Problem Based Learning Terhadap Kemampuan Pemecahan Masalah Matematika Siswa Kelas VII.

Rahayu, E. S. (2023). Metodologi Penelitian Pendidikan: Konsep Dasar, Teori dan Aplikasi. Yogyakarta: Deepublish.

Rahmat, F. (2023). Hubungan Persepsi Siswa dengan Motivasi dan Hasil Belajar dalam Pembelajaran Matematika. Jurnal Pendidikan Matematika, 7(3), 234-248.

Rahmat, F. (2023). Motivasi dan Hasil Belajar Siswa. Semarang: Penerbit Universitas Diponegoro.

Rich, B., & Thomas, C. (2021). Schaum's Outline of Geometry (6th ed.). McGraw-Hill Education.

Rofiah, E., Aminah, N. S., & Ekawati, E. Y. (2013). Penyusunan Instrumen Tes Kemampuan Berpikir Tingkat Tinggi Fisika pada Siswa SMP. Jurnal Pendidikan Fisika, 1(2), 17-22.

Rukajat, A. (2018). Pendekatan Penelitian Kuantitatif: Quantitative Research Approach. Yogyakarta: Deepublish.

Ruseffendi, E. T. (1980). Pengajaran Matematika Modern. Bandung: Tarsito.

Sanjaya, W. (2019). Strategi Pembelajaran Berorientasi Standar Proses Pendidikan. Halaman 220.

Savery, J. R. (2018). Overview of problem-based learning: Definitions and distinctions. Essential Readings in Problem-Based Learning: Exploring and Extending the Legacy of Howard S. Barrows, 9(2), 5-15.

Savery, J. R. (2020). Overview of Problem-Based Learning: Definitions and Distinctions. Halaman 185.

Skemp, R. R. (2019). Relational Understanding and Instrumental Understanding. Halaman 93.

Slameto. (2019). Belajar dan Faktor-Faktor yang Mempengaruhinya. Halaman 54.

Sugiyono. (2009). Metode Penelitian Pendidikan: Pendekatan Kuantitatif, Kualitatif, dan R&D. Bandung: Alfabeta.

Sugiyono. (2016). Metode Penelitian Kombinasi (Mixed Methods). Bandung: Alfabeta.

Sugiyono. (2017). Metode Penelitian Kuantitatif, Kualitatif, dan R&D. Bandung: Alfabeta.

Sugiyono. (2018). Statistika untuk Penelitian. Bandung: Alfabeta.

Sugiyono. (2021). Metode Penelitian Kuantitatif, Kualitatif, dan R&D (Edisi Revisi). Bandung: Alfabeta.

Susanto, A. (2020). Teori Belajar dan Pembelajaran di Sekolah Dasar. Halaman 235.

Susanto, A., Rahman, A., & Putri, R. (2020). Pentingnya Pemahaman Konsep Bangun Datar dalam Pembelajaran Matematika. Jurnal Matematika dan Pembelajaran, 6(1), 23-35.

Tan, O. S. (2017). Problem-Based Learning Innovation: Using Problems to Power Learning in the 21st Century. Halaman 168.

Van de Walle, J. A. (2020). Elementary and Middle School Mathematics: Teaching Developmentally. Halaman 24.

Van de Walle, J. A. (2022). Elementary and Middle School Mathematics: Teaching Developmentally (10th ed.). Pearson Education.

Van Hiele, P. M. (2017). Structure and Insight: A Theory of Mathematics Education. Academic Press.

Widana, I W., & Muliani, P. L. (2020). Uji Persyaratan Analisis. Bandung: Nilacakra Publishing House.

Widjajanti, E. (2008). Kualitas Lembar Kerja Siswa. Prosiding Seminar Nasional Matematika dan Pendidikan Matematika. Yogyakarta: Universitas Negeri Yogyakarta.

Widodo, A. (n.d.). Penerapan Model Problem Based Learning untuk Meningkatkan Pemahaman Konsep dan Keterampilan Berpikir Kritis Siswa Kelas VII.

Widodo, S. (2013). Pengembangan Kemampuan Pemahaman Konsep Matematis Siswa Sekolah Dasar. Bandung: UPI Press.

Widodo, S. A. (2021). Analisis Faktor-Faktor yang Mempengaruhi Pemahaman Konsep Matematika Siswa SMP. Halaman 168.

Wijaya, D. (2023). Kontribusi Persepsi Siswa terhadap Keberhasilan Implementasi Model Pembelajaran Inovatif. Jurnal Inovasi Pembelajaran, 10(2), 156-170.

Wijaya, M. (2023). Persepsi Siswa dan Pemahaman Konsep. Malang: Penerbit Universitas Brawijaya.

Downloads

Published

2025-05-06