Bilangan Pecahan dan Operasinya dalam Hadits
DOI:
https://doi.org/10.26594/jmpm.v5i1.1800Keywords:
Bilangan pecahan, Operasi pada bilangan pecahan, HaditsAbstract
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.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
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