Konteks Busana pada Pembelajaran Operasi Bilangan Rasional dengan Pendekatan PMRI

  • Intan Buhati Asfyra STKIP Muhammadiyah Pagaralam
Keywords: operations in rational numbers, dress pattern, design research, PMRI

Abstract

Penelitian ini bertujuan menghasilkan lintasan belajar yang dapat membantu siswa memahami konsep bilangan rasional melalui konteks busana. Design Research dipilih sebagai cara yang tepat untuk mencapai tujuan. Lintasan belajar (Hypotetical Learning Trajectory) dalam design research memegang peranan penting sebagai desain dan instrumen penelitian. Lintasan belajar dirancang dalam tahap desain awal dan diujikan pada 31 siswa kelas X Busana (yaitu, 6 siswa pada pilot experiment dan 25 siswa pada teaching experiment) SMK Negeri 6 Palembang. Pengumpulan data dilakukan melalui observasi, membuat rekaman video tentang kejadian di kelas dan kerja kelompok, mengumpulkan hasil kerja siswa, memberikan tes awal dan tes akhir, dan mewawancarai siswa. Data dianalisis secara restropektif. Hasil penelitian menunjukkan bahwa lintasan belajar yang diperoleh dapat membantu siswa dalam memahami konsep bilangan rasional, yaitu menjelaskan kesalahan pada pengukuran  melalui aktifitas mengukur ukuran badan, menerapkan operasi-operasi bilangan rasional melalui kegiatan membuat pola busana berdasarkan skala yang ditentukan, menerpakan operasi bilangan rasional melalui aktifitas membuat pola busana dengan ukuran sebenarnya.

Kata Kunci: operasi bilangan rasional, pola busana, design research, PMRI

This study aims to design a learning trajectory to help students understand the concept of rational numbers through fashion context. Therefore, to achieve the aim, design research is chosen as the research method. Hypothetical Learning Trajectory in design research plays an important role as design and research instruments. In preliminary design, Hypothetical Learning Trajectory was conducted in 31 students of Private vocational high School (SMK) 6 in Palembang, X grade majoring fashion (6 students in pilot experiment and 25 students in teaching experiment). Data was collected through observation, video recording of students activities in classroom and group work, collecting students' work, test: initial test and final test, and students interview. Data were analyzed by retrospective analysis. The results showed that the learning trajectory can help students understand the concept of rational numbers. The students could describe the error in measurement through measuring size of the body activity, applying the concept of operations of rational numbers to create dress pattern with specified scale, applying the concept of operations of rational numbers to create dress pattern with the actual size.  

Keywords: operations in rational numbers, dress pattern, design research, PMRI.

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References

Behr, M., Lesh, R., Post., T., & Silver E. (1983). Rational Number Concepts. In R. Lesh & M . Landau (Eds.), aquisition of Mathematics Concepts and Process, (pp. 91-125). New York: Academic Press.
Buys, K & Bokhove J. (2004). Young Children Learn Measurement and Geometry. Ultrecht: Freudenthal Institute.
Charitas, R. (2012). Learning multiplication using Indonesian game in third grade. Indonesian Mathematical Society Journal on Mathematics Education (IndoMS- JME). 3(2). 115-132.
Gravemeijer, K. (1994). Developing Realistic Mathematics Education. Ultrecht: Freudenthal Institute.
Gravemeijer, K. P. E., & Cobb, P. (2006). Design Research From A Learning Design Perspective. In J. V. D Akker, K. P. E Gravemeijer, S. McKenney, N. Nieven (Eds.), Educational Design Research (pp. 17-51). London: Routledge
Haris, Denny & Ilma, R. (2011). The role of context in third graders learning of area measurement. Journal on Mathematics Education, Vol.2, No.1, January 2011, hlm. 55 66. The Indonesian Mathematics Society
Hartoyo. (2009). Penerapan model pembelajaran kontekstual berbasis kompetensi untuk meningkatkan efektivitas pembelajaran. Jurnal Kependidikan, 39(1), 67-78
Kairuddin & Darmawijoyo. (2011). The Indonesians road transportations as the context to support primary school learning number operation. Indonesian Journal on Mathematics Education (IndoMS-JME). 2(1), 67- 78.
Kristiyono, H. (2008). Mahir Perkalian dan Pembagian Bilangan Dasar Melalui
Metode Permainan Kartu. Jurnal Pendidikan Penabur. 10, Rengasdengklok. Diakses tanggal 12 Februari 2016, pada http://isjd.pdii.lipi.go.id/admin/jurnal /71008110.pdf
Pramudiani. P, dkk. (2011). A Concrete Situation For Learning Decimals. Indonesian Mathematical Society Journal on Mathematics Education (IndoMS- JME). 2(2),215-230
Rosmah, Hj. B. & Khalid , M. (2008). Using the jar model to improve students understanding of operation on integers. Proceeding of International Congress on Mathematical Education (ICME), Mexico, 11, 83-94.
Shadiq, F. (2010). Identifikasi kesulitan guru matematika SMK pada pembelajaran matematika yang mengacu pada permendiknas no. 22 tahun 2006. PPPPTK: Jogjakarta.
Shanty, O.N. (2010). Design Research On Mathematics Education: Investigating The Progress Of Indonesian Fifth Grade Students? Learning On Multiplication Of Fractions With Natural Numbers. Indonesian Journal on Mathematics Education (IndoMS-JME). 2(2), 149- 151.
Soedjadi, R. (2000). Kiat Pendidikan Matematika di Indonesia: Konstatasi keadaan masa kini menuju harapan masa depan. Jakarta: Dirjen Dikti Depdiknas. Soekarno. (2010). Buku Penuntun Membuat Pola Busana Tingkat Dasar. Jakarta: PT. Gramedia Pustaka Utama
Tasman, F. (2011). Helping students acquainted with multiplication in rectangular model. Indonesian Mathematical Society Journal on Mathematics Education (IndoMS- JME). 2(2), 185-198
Wijaya, A. (2012). Pendidikan Matematika Realistik Suatu Alternatif Pendekatan Pembelajaran Matematika. Yogyakarta: Graha Ilmu.
Wijaya, A. (2008). Design research in mathematics education Indonesian traditional games as preliminaries in learning measurement of length. Dalam Prosiding Konferensi Nasional Matematika XIV, Palembang, tanggal 24 s.d. 27 Juli 2008, hal. 731-738. Universitas Sriwijaya.
Wu, H. (2004). Order of operation and other addities in school mathematics. Departement of Mathematiccs, Univeristy of California-Berkenley. Diakses tanggal 15 Juli 2016 pada http://www.math.berkenley.edu/-wu.
Zulkardi dan Ilma, R. (2006). Mendesain sendiri soal kontekstual matematika. Paper terseleksi dan dipublikasikan pada prosiding KNM13 Semarang 2006.
Published
2017-03-30
How to Cite
Asfyra, I. B. (2017). Konteks Busana pada Pembelajaran Operasi Bilangan Rasional dengan Pendekatan PMRI. Jurnal Gantang, 2(1), 11-19. https://doi.org/10.31629/jg.v2i1.61