Learning Direct and Inverse Proportion Using Musi Tour
DOI:
https://doi.org/10.12928/ijeme.v3i2.13578Keywords:
direct and inverse proportion, musi tour, ratio table, design research, PMRIAbstract
This study used design research to produce learning trajectory through Musi Tour context which can help students in understanding the concept of direct and inverse proportion. This study used PMRI approach. The object of this study was the seventh grade students of SMP Nurul Qomar Palembang. Data for retrospective analysis was collected from teaching experiment in the form of students’ work results, field notes, and students’ interview. The results obtained in this study were learning trajectory which consisted of 3 activities: 1) students were given contextual problems namely Musi Tour as the starting point in learning direct and inverse proportion. 2) through students' understanding of the ratio table in the Musi Tour context, students can understand the direct proportion. 3) students can model and understand the concept of inverse proportion and solve the problems by using Ratio table. The results showed that the use of Musi tour context can help students in understanding the concept of direct and inverse proportion.
References
Andinasari. (2016). Penggunaan Video Pesawat Take off pada Materi Perbandingan Berbalik Nilai melalui Pendekatan Matematika Realistik Indonesia. Prosiding Seminar Pendidikan Nasional,Palembang,1(1),92-104.
Bustang, et al., (2013). Developing a local instruction theory for learning the concept of angle through visual field activities and spatial representations. International Education Studies, 6, 58-69.
Carpenter, T. P., Franke, M. L., Jacobs, V. R., Fennema, E., & Empson, S. B. (1998).A longitudinal study of invention and understanding in children’s multidigit addition andsubtraction. Journal for Research in Mathematics Education, 29(1), 3–20.
Cramer, K., Post, T., & Currier, S. (1993). Learning and Teaching Ratio and Proportion : Research Implications. InD Owens(Ed). Research Ideas For The Classroom (pp.159-178). NY: Macmillan Publishing Company.
Gravemeijer, K. (1994). Developing realistic mathematics education.Utrecht: Teehnipress, Culemborg.
Gravemeijer, K,., & Van Eerde, D. (2009). Research as a Means for Building a Knowledge Base for Teaching in Mathematics Educations. The Elementary School Journal,109(5),510-524.
Kaput, J., & West, M. M. (1994). Missing-value proprotional reasoning problems:Factorsaffecting informal reasoning patterns. In G. Harel & J. Confrey (Eds.), The development ofmultiplicative reasoning in the learning of mathematics (pp. 237–292). New York:State University of New York press.
Lamon, S. J. (2006). Teaching Fractions and Ratios for Understanding : Essential Content Knowledge and Instructional Strategies for Teachers 2nd Ed. Lawrence Erlbaum Associates.
Lange, Jan de.. (1998). Assessment: No Change Without Problems. Netherlands: Freudenthal Institute.
Lange, Jan de. (1987). Mathematics, insight and meaning. Utrecht: OW & OC, Rijksuniversiteit Utrecht.
Norton, S. J. (2005). The Construction of Proportional Reasoning. Proceedi-ngs of the 29th Conference of the International Group for the Psy-chology of Mathematics Education, Melbourne, 4, 17-24.
OECD. (2009). Learning mathematics for life. A view perspective from PISA. Paris: OECD.
Pitadjeng. (2015). Pembelajaran Matematika yang Menyenangkan. Yogyakarta : Graha Ilmu.
Raharjanti, M., Nusantara, T., & Mulyati., S., (2016). Kesalahan siswa dalam menyelesaikan permasalahan per-bandingan senilai dan berbalik ni-lai. Prosiding KNPMP1 Surakarta, 312-319.
Rahmawati. (2015). Desain Pembelajaran Perbandingan dengan Mengguna-kan Kertas Berpetak di Kelas VII. Thesis. Palembang: Magister Pendidikan matematika FKIP Universitas Sriwijaya.
Ruiz, E. F. & Lupianez, J. L.. 2009. Detecting Psychological Obstacles to Teaching and Learning The Topics of Ratio and Proportion in Sixth Grade Primary Pupils. Electronic Journal of Research in Educational Psychology (EJREP), 7(17),397-424.
Streefland, L. (1985). Search for the roots of ratio: some thoughts on the long term learning process (towards.. a theory). Educational Studies in Mathematics, 16, 75-94.
Suherman, E., Turmudi., & Suhendra. (2003). Common Textbook: Strategi Pembelajaran Matematika Kontemporer. Bandung: JICA-Universitas Pendidikan Matematika (UPI).
Sumarto, N. (2013). Design Research On Mathematics Education: Ratio Table In Developing The Students’ Proporsional Reasoning. Palembang : Sekolah Pasca Sarjana Universitas Sriwijaya.
Utari, R. S., Putri, R.I.I, Hartono, Y. (2015). Konteks kebudayaan Palembang untuk mendukung kemampuan bernalar siswa SMP pada materi perbandingan. Jurnal Didaktik Matematika. 2(2). 27-37.
Van den Heuvel – Panhuizen, M. (1996). Assessment and realistic mathematics education. Utrecht : CD β Press/ Freudenthal Institude.
Van De Walle, J.A (2007). Matematika Sekolah Dasar dan Menengah: Pengembangan Pengajaran Jilid Pertama. Suyono. Jakarta: Erlangga. (2008).
Zulkardi. (2002). Developing a learning environment on realistic mathematics education for Indonesia students teacher. Thesis University of Twente. Netherlands: Print Patners Ipskamp-Enschede.
Zulkardi & Putri, R.I.I. (2006). Mendesain sendiri soal kontekstual matematika. Prosiding KNM 13, Semarang, 1-7.
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