Proportional Reasoning of Junior High School Students at Bani Hasyim Islamic School Singosari in Solving Islam-Integrated Ratio Problems

  • Farha Ashiilah Herwinsyah Universitas Islam Negeri Maulana Malik Ibrahim Malang
  • Ulfa Masamah Universitas Islam Negeri Maulana Malik Ibrahim Malang
Keywords: Islamic Integration, Proportional Reasoning, Comparison

Abstract

This study discusses the analysis of proportional reasoning ability of students at SMP Islam Bani Hasyim Singosari in solving comparison problems integrated with Islamic values. The main issue examined is the low ability of students to understand proportional concepts. The research aims to analyze students' proportional reasoning skills, particularly in solving comparison problems within the Islamic context, specifically zakat. The method used is qualitative descriptive research with data collected through written tests and structured interviews with purposively selected students. Data analysis was conducted using triangulation techniques to obtain a comprehensive picture of students’ proportional reasoning abilities. The results indicate that most students meet the indicators of proportional reasoning, namely understanding the concept of covariation, identifying proportional situations, and correctly using multiplicative strategies. However, there are still limitations in accurately understanding the conditions for ratio usage and integrating the concept of zakat within the problem context. Thus, the study confirms that mathematics learning that optimally integrates Islamic values has the potential to strengthen mastery of the material and foster students' religious attitudes in a balanced manner.

Downloads

Download data is not yet available.

References

Angraini, L. marina. (2021). Pelatihan Pengembangan Soal-Soal Matematika yang Terintegrasi dengan Nilai-Nilai Keislaman. Community Education Engagement Journal, 3(1), 1–8. https://doi.org/10.25299/ceej.v3i01.8038

Aviola, N., Hayati, S., Pebria, W., Annisa, A., & Imamuddin, M. (2023). Pengaruh Pembelajaran Matematika Terintegrasi Islam Terhadap Pembentukan Karakter Siswa. KOLONI, 2(2), 195–204. https://doi.org/10.31004/koloni.v2i2.477

Azhar, E., Saputra, Y., & Nuriadin, I. (2021). Eksplorasi Kemampuan Pemecahan Masalah Matematis Siswa Pada Materi Perbandingan Berdasarkan Kemampuan Matematika. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(4), 2129. https://doi.org/http://dx.doi.org/10.24127/ajpm.v10i4.3767

Dewi, M. W. K., & Nuraeni, R. (2022). Kemampuan komunikasi matematis siswa SMP ditinjau dari self-efficacy pada materi perbandingan di Desa Karangpawitan. Plusminus: Jurnal Pendidikan Matematika, 2(1), 151–164. https://doi.org/https://doi.org/10.31980/plusminus.v2i1.1093

Halimah, S. H., Imamuddin, M., & Syarifah, S. H. R. (2024). Pengaruh Penggunaan LKPD Matematika Integrasi Islam Terhadap Hasil Belajar Matematika. TA’DIBAN: Journal of Islamic Education, 4(1), 19–26. https://doi.org/10.61456/tjie.v4i1.125

Lamon, S. J. (2012). Teaching Fractions and Ratios for Understanding: Essential Content Knowledge and Instructional Strategies for Teachers (3rd Edition) (pp 96-132) (3rd ed.). Routledge.

Leonard, L., Suhendri, H., Hasbullah, H., Mevianti, A., & Puteri, N. C. (2022). IDENTIFIKASI MATERI YANG DIANGGAP SULIT UNTUK PELAJARAN MATEMATIKA PADA JENJANG SMP KELAS 8. Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika Dan Statistika, 3(3), 560–567. https://doi.org/10.46306/lb.v3i3.167

Mahtuum, Z. A., Nurhayati, A., Hidayat, W., & Rohaeti, E. E. (2020). Analisis Kemampuan Pemahaman Matematis Siswa Kelas VII SMP Budi Luhur pada Materi Perbandingan. JPMI (Jurnal Pembelajaran Matematika Inovatif), 3(2), 137–144.

Miles, M. B., & Huberman, M. A. (2005). Qualitative Data Analysis (terjemahan). Jakarta : UI Press.

Moleong, L. J. (2017). Metodologi penelitian kualitatif/Lexy J. Moleong (36th ed.). PT. Remaja Rosdakarya.

Mujib, A., & Sulistiana, E. (2023). Kemampuan Penalaran Proporsional menurut Langrall dan Swafford pada Siswa Sekolah Menengah Pertama. Plusminus: Jurnal Pendidikan Matematika, 3(1), 117–126. https://doi.org/10.31980/plusminus.v3i1.1228

Nugraha, Y., Sujadi, I., & Pangadi, P. (2016). Penalaran proporsional siswa kelas VII. Beta: Jurnal Tadris Matematika, 9(1), 34–47.

Permatasari, D. (2017). Penalaran Proporsional Siswa SMP Kelas IX dalam Menyelesaikan Masalah Matematika ditinjau dari Gender. Kreano, Jurnal Matematika Kreatif-Inovatif, 8(2), 199–207. https://doi.org/10.15294/kreano.v8i2.9537

Rahman, M. T. A., Subarinah, S., & Wahyu Triutami, T. (2023). Kemampuan Penalaran Proporsional ditinjau dari Gaya Belajar pada Siswa. Journal of Classroom Action Research, 5(4). https://doi.org/10.29303/jcar.v5i4.5951

Risnamajasari, R., & Sakiya, N. (2024). Kemampuan Menghafal Al-Quran Ditinjau dari Kecerdasan Matematis

Santriwati. Supermat : Jurnal Pendidikan Matematika, 8(1), 112–127. https://doi.org/10.33627/sm.v8i1.1930

Saputri, I., Susanti, E., & Aisyah, N. (2017). Kemampuan penalaran matematis siswa menggunakan pendekatan metaphorical thinking pada materi perbandingan kelas VIII di SMPN 1 Indralaya Utara. Jurnal Elemen, 3(1), 15–24. https://doi.org/https://doi.org/10.29408/jel.v3i1.302

Sarah, M., Imamuddin, M., & Aprianto, A. (2024). Pembentukan Karakter Siswa Melalui Pembelajaran Matematika Terintegrasi Islam. KOLONI, 3(1), 1–10. https://doi.org/10.31004/koloni.v3i1.572

Sari, I. P., & Sufri, S. (2014). Analisis penalaran proporsional siswa dengan gaya belajar auditori dalam menyelesaikan soal perbandingan pada siswa SMP kelas VII. Edumatica: Jurnal Pendidikan Matematika, 4(02).

Sobarningsih, N., Juariah, J., Nurdiansyah, R., Purwanti, A. R., & Kariadinata, R. (2019). Pengembangan soal matematika bernuansa Islami. Jurnal Analisa, 5(2), 109–123.

PlumX Metrics

Published
2026-06-29