Learning Combinations Through “Handshakeâ€

Rarri Bian Ryandi, Somakim Somakim, Ely Susanti

Abstract


This research used design research. It was constructing a learning trajectory through handshake context to help students’ understanding of the Combination concept. This research used PMRI approach. The participants of the research were the students of 10th class SMA Negeri 15 Palembang. For retrospective analysis, the data were collected from a teaching experiment in form of student’s work, field notes, and interviews. The obtained data is a learning trajectory which is consists of 1) students do a role-play scene of the handshake activity; this activity supports students’ understanding that A do handshake with B is the same with B do handshake with A, which it indicates order does not matter in Combination. 2) students utilize their knowledge about factorial forms to analyze the general pattern of the Combination. 3) students solve problems related to the Combination concept to help them think about how to solve the similar problems in the daily life. The results of the study showed that the use of the handshake context can help students to understand of the Combination concept.

Keywords


Handshake; Combinations; Design Research; PMRI

Full Text:

PDF

References


Bustang., Zulkardi., Darmawijoyo., Dolk, M., & Van Eerde, D. (2013). Developing a Local Instruction Theory for Learning the Concept of Angle Through Visual Field Activities and Spatial Representations. International Education Studies, 6(8), 58-70.

Diana., Putri, R.I., & Somakim. (2016). Pembelajaran matematika materi peluang menggunakan kupon gosokan dan dadu di kelas IX. Seminar Nasional dan Lokakarya PISA 2016.

Febriana, R., Putri, R.I., & Somakim. (2017). Desain pembelajaran kombinatorial menggunakan konteks local area network (LAN) di kelas XII TKJ. Unpublished Thesis. Palembang: Universitas Negeri Sriwijaya.

Gordon, S. (2006). Counting techniques. Sidney: Mathematics Learning Center University of Sidney.

Gravemeijer, K. (1994). Developing Realistic Mathematics Education. Utrecht: Technipress, Culemborg.

Gravemeijer, K. (2004). Local Instruction Theories as Means of Support for Teachers in Reform Mathematics Education. Mathematical Thinking and Learning, 6(2), 105-128.

Gravemeijer, K., & Van Eerde, D. (2009). Design Research as a Means for Building a Knowledge Base for Teachers and Teaching in Mathematics Education. The Elementary School Journal, 109(5), 510-524.

Harini, S. (2010). Teori peluang. Malang: UIN-Maliki Press.

Murizal, A., Yarman., & Yerizon. (2012). Pemahaman Konsep Matematis dan Model Pembelajaran Quantum Teaching. Jurnal Pendidikan Matematika, 1(1), 19-23.

Nursyahidah, F., Putri, R. I. I, & Somad, S. (2013). Supporting First Grade Students’ Understanding of Addition Up To 20 Using Traditional Game. IndoMS. Journal on Mathematics Education (JME), 4(2), 212-223.

Purnanto, H. (2014). Pembelajaran konsep permutasi dan kombinasi dengan menggunakan strategi pembelajaran berbasis masalah (SPBM). Seminar Problem Matematika.

Putra, H. D., Herman, T., & Sumarmo, U. (2017). Development of Student Worksheets to Improve the Ability of Mathematical Problem Posing. International Journal on Emerging Mathematics Education (IJEME), 1(1), 1-10.

Putri, R. I. I. (2007). Pengembangan Model Pembelajaran Matematika Pokok Bahasan Statistika Menggunakan Pendekatan Realistic Mathematics Education (RME) Berdasarkan KBK di SMA 17 Palembang. Jurnal Pendidikan Matematika, 1(1), 21-23.

Raharjo, M. (2004). Peluang. Yogyakarta: Pusat Pengembangan Penataran Guru (PPPG) Matematika.

Ross, S. (2010). A first course in probability. New Jersey: Person.

Sani, R.A. (2013). Inovasi Pembelajaran. Jakarta: Bumi Aksara.

Sina, I. (2011). Implementasi Model Pembelajaran Role Playing Berbasis Analisis SWOT Pada Materi Peluang. Jurnal Ilmiah, 6(10), 1-8.

Sukoriyanto., Nusantara, T., Subanji., & Chandra, T.D. (2016). Students’ Errors in Solving the Permutation and Combination Problem Based on Problem Solving Steps of Polya. International Education Studies, 9(2), 11-16.

Wroughton, J., & Nolan, J. (2012). Pinochle Poker: An Activity for Counting and Probability. Journal of Statistics Education, 20(2), 1-24.

Yulianita, Somakim, & Susanti, E. (2016). Desain Pembelajaran Sudut pada Bangun Ruang Menggunakan Pendekatan PMRI di Kelas X. Jurnal Numeracy, 3(1), 1-14.

Zulkardi. (2002). Developing A Learning Environment on Realistic Mathematics Education for Indonesia student Teacher. Dissertation. Enschede: University of Twente.

Zulkardi. (2009). The "P" in PMRI: progress and problems. proceedings of IICMA2009 Mathematics Education (pp. 773-780). Yogyakarta: IndoMs.

Zulkardi, & Putri, R. I. (2010). Pengembangan Blog Support untuk Membantu Siswa dan Guru Matematika Indonesia Belajar Pendidikan Matematika Realistik Indonesia. Jurnal Inovasi Perekayasa Pendidikan (JIPP), 2(1), 1-24.




DOI: http://dx.doi.org/10.12928/ijeme.v2i1.8693

Refbacks



Copyright (c) 2018 Rarri Bian Ryandi, Somakim Somakim, Ely Susanti

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


International Journal on Emerging Mathematics Education
Kampus 2 Universitas Ahmad Dahlan
Jalan Pramuka No. 42, Pandeyan, Umbulharjo, Yogyakarta - 55161
Telp. (0274) 563515, ext. 4902; Fax. (0274) 564604
Email: ijeme@uad.ac.id


p-ISSN: 2549-4996 | e-ISSN: 2548-5806


This work is licensed under a Creative Commons Attribution 4.0 International License

View IJEME's Stats