Learning Design For Combinatoric With Realistic Mathematics Education Approach


(1) Universitas Tanjungpura, Indonesia
(2) Universitas Tanjungpura, Indonesia


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Copyright (c) 2023 Dona Fitriawan, Nurfadilah Siregar
Abstract: The purpose of this research is to design learning combinatorics sub-material factorial, permutation, combination and chance with RME approach. This research is a qualitative research. With this research method using design research. The research techniques used are measurement techniques, direct observation and documentation with tools in the form of objective tests, observation sheets and document sheets. The research subjects were 2 classes, namely A1 and A2 classes in the Mathematics Education Mathematics Statistics course specifically combinatorics material totaling 35 students with the learning trajectory in the form of numbers that were applied alternately to students. The conclusion of this research is obtained: 1) in the factorial sub-material, students are introduced to the RME approach that 4!= 24 , 3!= 6, 2!= 2 , 1!=1until it is proven that 1!=1in the permutation and combination sub material, students are directed to be examples of the same numbers and letters that form the rules of permutation and combination in the opportunity sub-material, students are exemplified about coins and dice, both in one, two, and three pieces in the context of the problem.
Keywords: learning design, rme approach, design research
Abstrak: Tujuan dari penelitian ini adalah mendesain pembelajaran materi kombinatorika sub materi factorial, permutasi, kombinasi dan peluang dengan pendekatan RME. Penelitian ini berjenis penelitian kualitatif. Dengan metode penelitian ini menggunakan design research. Teknik penelitian yang digunakan adalah teknik pengukuran, observasi langsung dan dokumentasi dengan alatnya berupa tes objektif, lembar pengamatan dan lembar dokumen. Subjek penelitiannya ada 2 kelas yaitu kelas A1 dan A2 pada mata kuliah Statistika Matematika Pendidikan Matematika terkhusus materi kombinatorika berjumlah 35 mahasiswa dengan lintasan belajarnya berupa Number-Number yang diterapkan secara bergantian ke mahasiswa. Kesimpulan dari penelitian ini diperoleh: 1) pada sub materi factorial, peserta didik dikenalkan dengan pendekatan RME bahwa 4!= 24 , 3!= 6, 2!= 2 , 1!=1 sampai dibuktikan bahwa 1!=1 pada sub materi permutasi dan kombinasi, peserta didik diarahkan for menjadi contoh Number dan huruf yang sama sehingga membentuk aturan permutasi dan kombinasi tersebut pada sub materi peluang, peserta didik dicontohkan tentang mata uang logam dan dadu, baik dalam sebuah, dua buah, maupun tiga buah dalam konteks masalah.
Kata kunci: desain pembelajaran, pendekatan rme, penelitian desain
Afifah, N. (2022). Combinatorial study implementation in kaggle applications. Al'adzkiya International of Computer Science and Information Technology (AIoCSIT) Journal, 3(2), 68-74.
Ahmad, M., & Asmaidah, S. (2017). Pengembangan perangkat pembelajaran matematika realistik untuk membelajarkan kemampuan pemecahan masalah matematika siswa SMP. Mosharafa: Jurnal Pendidikan Matematika, 6(3), 373-384.
Aleslami, I. R., Minarni, A., & Fauzi, K. M. A. (2021). Development of mathematics teaching materials based on the realistic mathematics approach (pmr) to improve the mathematical reasoning and representation ability of class vii students of smp muhammadiyah 47 medan sunggal. Budapest International Research and Critics in Linguistics and Education (BirLE) Journal, 4(1), 252-264.
Bray, A., & Tangney, B. (2016). Enhancing student engagement through the affordances of mobile technology: a 21st century learning perspective on Realistic Mathematics Education. Mathematics Education Research Journal, 28, 173-197.
Durand-Guerrier, V., Boero, P., Douek, N., Epp, S. S., & Tanguay, D. (2012). Examining the role of logic in teaching proof. Proof and proving in mathematics education: The 19th ICMI study, 369-389.
Febriyanti, F., Bagaskorowati, R., & Makmuri, M. (2019). The effect of the realistic mathematics education (RME) approach and the initial ability of students on the ability of student mathematical connection. International Journal for Educational and Vocational Studies, 1(3), 153-156.
Fitri, P. R., Sukirwan, S., & Jaenudin, J. (2022). Penerapan pendekatan realistik mathematics education untuk meningkatkan hasil belajar siswa materi himpunan menggunakan video permainan 17an. Wilangan: Jurnal Inovasi dan Riset Pendidikan Matematika, 3(3), 188-194.
Fredriksen, H. (2021). Exploring realistic mathematics education in a flipped classroom context at the tertiary level. International Journal of Science and Mathematics Education, 19(2), 377-396.
Hamid, A., & Haka, N. B. (2021). Reduction of students’ biological misconceptions through the conceptual change model integrated with android-based Quran. Tadris: Jurnal Keguruan dan Ilmu Tarbiyah, 6(1), 87-101.
Irawan, D., Mursito, B., & Purnomo, I. A. D. (2021). The effectiveness of education, skills, attitude and communication on job promotions at lorin solo hotel. International Journal of Economics, Business and Accounting Research (IJEBAR), 5(4).
Kusumawardani., Wahyu., Ramli, M., & Muzzazinah. 2020. “Jurnal Bioedukatika.” Jurnal Bioedukatika 8(2):79–90.
De Lange, J. (2006). Mathematical literacy for living from OECD-PISA perspective. Tsukuba Journal of Educational Study in Mathematics, 25, 13-35.
Manurung, M. M., Windria, H., & Arifin, S. (2018). Desain pembelajaran materi himpunan dengan pendekatan realistic mathematics education (RME) untuk kelas VII. Jurnal Derivat: Jurnal Matematika Dan Pendidikan Matematika, 5(1), 19-29.
Nar, H., & Tuti, G. (2009). Pengantar statistika matematis. Bandung: CV. Yrama Widya.
Novianawati, N. (2015). Analysis of students’decision making to solve science reasoning test of trends in international mathematics and science study (timss). Jurnal Pendidikan IPA Indonesia, 4(1), 1-6.
Hendri, P. 2020. “kemampuan matematika siswa indonesia berdasarkan timss.” Jurnal Padegogik 3(2):111–17. doi: 10.35974/jpd.v3i2.2367.
Mahdiansyah, M., & Rahmawati, R. (2014). Literasi matematika siswa pendidikan menengah: analisis menggunakan desain tes internasional dengan konteks Indonesia 1. Literasi Matematika Siswa Pendidikan Menengah: Analisis Menggunakan Desain Tes Internasional dengan Konteks Indonesia 1, 20(4), 452-469.
Ulfah, M. S., & Rejeki, S. (2022). Desain lembar kerja peserta didik materi himpunan berbasis realistic mathematics education untuk mendukung pembelajaran daring di era pandemi covid-19. Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika (JRPIPM), 6(1), 32-47.
Uripno, G., & Rosyidi, A. H. (2019). Students combinatorial thinking processes in solving mathematics problem. Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika, 2(2), 80-92.
Wahyudi. (2016). “The development of realistic mathematics education (rme) model for the improvement of mathematics learnings of primary teacher education program (pgsd) students of teacher training and education faculty (fkip) of sebelas maret university in kebumen.” Proceeding The 2nd International Conference On Teacher Training and Education Sebelas Maret University 2(1):369–81.
Wijers, M., & de Haan, D. (2020). Mathematics in teams—developing thinking skills in mathematics education. National Reflections on the Netherlands Didactics of Mathematics: Teaching and Learning in the Context of Realistic Mathematics Education, 15-29.
Wittmann, E. C. (2020). The impact of hans freudenthal and the freudenthal institute on the project mathe 2000. International Reflections on the Netherlands Didactics of Mathematics: Visions on and Experiences with Realistic Mathematics Education, 63-69.
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