Bilangan Pecahan dan Operasinya dalam Hadits

Dewi Rosikhoh; Abdussakir Abdussakir

doi:10.26594/jmpm.v5i1.1800

Bilangan Pecahan dan Operasinya dalam Hadits

Dewi Rosikhoh^(1*), Abdussakir Abdussakir⁽²⁾,

(1) Univesitas Islam Negeri Maulana Malik Ibrahim Malang
(2) Univesitas Islam Negeri Maulana Malik Ibrahim Malang
(*) Corresponding Author

Dewi Rosikhoh
Abdussakir Abdussakir

Abstract

Bilangan pecahan merupakan salah satu subjek matematika yang termuat dalam al-Qur’an dan hadits. Integrasi matematika dan al-Qur’an telah banyak dikaji, namun kajian matematika dalam hadits masih minim. Tujuan penelitian ini adalah untuk mengekplorasi bilangan pecahan dalam hadits beserta operasinya. Dengan adanya kajian ini maka dapat memberikan referensi bagi guru yang akan mengajar materi pecahan dan operasinya secara terintegrasi dengan hadits. Penelitian ini menggunakan metode deskriptif dengan studi pustaka. Hasil studi pustaka terdapat bilangan pecahan paling sederhana, pecahan satuan, dan pecahan campuran dalam hadits yang terdiri dari 13 bilangan yaitu 1/2, 1/3, 1/4, 1/5, 1/6, 1/7, 1/8, 1/9, 1/10, 1/20, 2/3, 3 1/3, dan 5 1/3. Selain itu terdapat operasi hitung dasar matematika yakni penjumlahan, pengurangan, pembagian, dan perkalian pada bilangan pecahan dalam hadits.

Keywords

Bilangan pecahan; Operasi pada bilangan pecahan; Hadits

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ARTIKEL

References

Abdussakir. (2005). Matematika dan al-Qur’an. Retrieved from http://repository.uin-malang.ac.id/1781/7/1781.pdf

Abdussakir. (2014). Matematika dalam al-Quran. Retrieved from http://repository.uin-malang.ac.id/2737/7/2737.pdf

Abdussakir, & Rosimanidar. (2017). Model integrasi matematika dan al-quran serta praktik pembelajarannya. Seminar Nasional Integrasi Matematika Di Dalam Al-Quran, 1–16. Retrieved from http://repository.uin-malang.ac.id/1934/2/1934.pdf

Anshar, M. (2017). Integrasi Alquran dan sains: suatu perspektif komunikasi. Jurnal Dakwah Tabligh, 18(1), 1–20. https://doi.org/10.24252/jdt.v18n1dnk08

Brandt, C. F., Bassoi, T. S., & Baccon, A. L. P. (2016). Difficulties of 6th grade elementary school students in solving the four basic fundamental operations: Addition, subtraction, multiplication and division of natural numbers. Creative Education. https://doi.org/10.4236/ce.2016.713185

Caldas, M. P. (2003). Research design: qualitative, quantitative, and mixed methods approaches. Revista de Administração Contemporânea. https://doi.org/10.1590/s1415-65552003000100015

Creswell, J. W., & Creswell, J. D. (2018). Research design: Qualitative, quantitative, and mixed methods approaches. In Journal of Chemical Information and Modeling. https://doi.org/10.1017/CBO9781107415324.004

Darda, A. (2015). Integrasi ilmu dan agama: Perkembangan konseptual di Indonesia. At-Ta’dib, 10(1).

Dhlamini, Z. B., & Kibirige, I. (2014). Grade 9 learners’ errors and misconceptions in addition of fractions. Mediterranean Journal of Social Sciences. https://doi.org/10.5901/mjss.2014.v5n8p236

Duzenli-Gokalp, N., & Sharma, M. D. (2010). A study on addition and subtraction of fractions: The use of Pirie and Kieren model and hands-on activities. Procedia - Social and Behavioral Sciences. https://doi.org/10.1016/j.sbspro.2010.03.840

Fazio, L. K., Kennedy, C. A., & Siegler, R. S. (2016). Improving children’s knowledge of fraction magnitudes. PLoS ONE, 11(10). https://doi.org/10.1371/journal.pone.0165243

Fikri, H. K. (2015). Fungsi Hadits terhadap Al-Qur’an. TASAMUH.

Gabriel, F., Coché, F., Szucs, D., Carette, V., Rey, B., & Content, A. (2013). A componential view of children’s difficulties in learning fractions. Frontiers in Psychology. https://doi.org/10.3389/fpsyg.2013.00715

Hapiz, A., Annisa, H., & Rofiki, I. (2019). Bilangan pecahan dalam al-quran dan hadits. 5(1).

Himmawan, M. A. dan D. (2019). Peran hadits sebagai sumber ajaran agama, dalil-dalil kehujjahan hadits dan fungsi hadits terhadap Alquran. Risâlah, Jurnal Pendidikan Dan Studi Islam, 5(1), 125–132.

Huda, M., & Mutia, M. (2017). Mengenal matematika dalam perspektif islam. FOKUS Jurnal Kajian Keislaman Dan Kemasyarakatan, 2(2), 182. https://doi.org/10.29240/jf.v2i2.310

Irawan, W. H., Abdussakir, & Kusumastuti, A. (2005). Rahasia bilangan dalam Al- Qur ’ an. Penelitian Ilmu Pengetahuan Terapan, 01, 66.

Laili, A. F. N. (2018). Teori Himpunan dalam Ayat-ayat al-Qur’an. 46, 1–11.

Maarif, S. (2015). Integrasi matematika dan islam dalam pembelajaran matematika. Infinity Journal, 4(2), 223–236. https://doi.org/10.22460/infinity.v4i2.85

Muspiroh, N. (2013). Integrasi nilai-nilai islam dalam pembelajaran IPA di sekolah. Jurnal Pendidikan Islam, 2(1), 168–188. https://doi.org/https://doi.org/10.15575/jpi.v28i3.560

Namkung, J. M., Fuchs, L. S., & Koziol, N. (2018). Does initial learning about the meaning of fractions present similar challenges for students with and without adequate whole-number skill? Learning and Individual Differences, 61, 151–157. https://doi.org/10.1016/j.lindif.2017.11.018

Nasution, A. (2017). Implementasi konsep matematika dalam al-Qur’an pada kurikulum madrasah. EduTech: Jurnal Ilmu Pendidikan Dan Ilmu Sosial, 3(1). Retrieved from http://jurnal.umsu.ac.id/index.php/edutech/article/view/983

Nasution, A. A. (2013). Matematika dalam Al-Quran. Logaritma, 1(1), 112–122. https://doi.org/http://dx.doi.org/10.1111/j.1532-5415.2008.01851.x

National Council Of Teachers Of Mathematics. (2000). Principles and Standards for School Mathematics. School Science and Mathematics. https://doi.org/10.1111/j.1949-8594.2001.tb17957.x

Newton, K. J., Willard, C., & Teufel, C. (2014). An examination of the ways that students with learning disabilities solve fraction computation problems. Elementary School Journal, 1(15), 1–21. https://doi.org/10.1086/676949

Nunez, A. (2016). Improving mathematics learning outcomes in simple. International Journal of Scientific & Technology Research, 5(10), 129–137.

Nurasiyah, N., & Ruqoyyah, S. (2018). IMPROVING MATHEMATICS LEARNING OUTCOMES IN SIMPLE. 01(05), 231–242.

Nurdin. (2013). Eksistensi keilmuan islam. Dinamika Ilmu, 13(1), 88–104. Retrieved from http://journal.iain-samarinda.ac.id/index.php/dinamika_ilmu/article/view/67

Pienaar, E. (2014). Learning about and understanding fractions and their role in the high school curriculum. Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki. Retrieved from http://scholar.google.com/scholar?hl=en&btnG=Search&q=intitle:No+Title#0%5Cnhttp://scholar.sun.ac.za/handle/10019.1/86269

Rosenberg-Lee, M., Chang, T. T., Young, C. B., Wu, S., & Menon, V. (2011). Functional dissociations between four basic arithmetic operations in the human posterior parietal cortex: A cytoarchitectonic mapping study. Neuropsychologia, 49(9), 2592–2608. https://doi.org/10.1016/j.neuropsychologia.2011.04.035

Sari, N. I., Sari, N. S., & Rizki, S. (2017). Matematika dan al-Quran untuk membentuk pendidikan pendidikan berkarakter islami. Prosiding Seminar Nasional Pendidikan “Membangun Generasi Berpendidikan Dan Religius Menuju Indonesia Berkemajuan,” 334–338. Retrieved from https://repository.ummetro.ac.id/files/semnasdik/afb68f245f7791df4bb0fbb3ff115f2c.pdf

Setiawan, E. (2017). Penerapan wasiat wajibah menurut kompilasi hukum islam (KHI) dalam kajian normatif yuridis. Muslim Heritage, 2(1), 43–62. https://doi.org/10.21154/muslimheritage.v2i1.1045

Trivena, V., Ningsih, A. R., & Jupri, A. (2017). Misconception on addition and subtraction of fraction at primary school students in fifth-grade. Journal of Physics: Conference Series, 895(1), 012139. https://doi.org/10.1088/1742-6596/895/1/012139

Zhang, L., Fang, Q., Gabriel, F. C., & Szűcs, D. (2016). Common magnitude representation of fractions and decimals is task dependent. Quarterly Journal of Experimental Psychology, 69(4), 764–780. https://doi.org/10.1080/17470218.2015.1052525

DOI: https://doi.org/10.26594/jmpm.v5i1.1800