Learning Combinations Through “Handshakeâ€
DOI:
https://doi.org/10.12928/ijeme.v2i1.8693Keywords:
Handshake, Combinations, Design Research, PMRIAbstract
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.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 Unpublished Thesis.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.
Downloads
Published
How to Cite
Issue
Section
License
License and Copyright Agreement
In submitting the manuscript to the journal, the authors certify that:
- They are authorized by their co-authors to enter into these arrangements.
- The work described has not been formally published before, except in the form of an abstract or as part of a published lecture, review, thesis, or overlay journal. Please also carefully read the International Journal on Emerging Mathematics Education (IJEME) Author Guidelines at http://journal.uad.ac.id/index.php/IJEME/about/submissions#authorGuidelines
- That it is not under consideration for publication elsewhere,
- That its publication has been approved by all the author(s) and by the responsible authorities, tacitly or explicitly, of the institutes where the work has been carried out.
- They secure the right to reproduce any material that has already been published or copyrighted elsewhere.
- They agree to the following license and copyright agreement.
Copyright
Authors who publish with the International Journal on Emerging Mathematics Education (IJEME) agree to the following terms:
- Authors retain copyright and grant the journal the right of first publication with the work simultaneously licensed under a Creative Commons Attribution License (CC BY-SA 4.0) that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
Ciptaan disebarluaskan di bawah Lisensi Creative Commons Atribusi-BerbagiSerupa 4.0 Internasional.
