DEVELOPMENT OF LEARNING TRAJECTORY ON THE SET TOPIC FOR 7TH GRADE IN THE CONTEXT OF SEDEKAH LAUT TRADITION
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Abstract
Set is an important topic to be mastered by students because it influences the development of mathematics in daily life. However, many students still have difficulty learning the topic. Therefore, it is necessary to design a learning trajectory using the appropriate approach, context, and media. This research resulted in the learning development using Sedekah Laut context to create meaningful learning and increase students' understanding of sets. The method used in this study was design research proposed by Gravemeijer & Cobb with three stages: preliminary design, experimental design (pilot experiments and teaching experiments), and retrospective analysis. However, this article only presented the results from the Preliminary design stage. The participants involved in this study were 7th-grade students of SMP Negeri 6 Semarang. The resulting hypothetical learning trajectory consists of a series of learning processes: observing context videos to find the concepts of sets, non-sets, empty sets, universal sets, and Venn diagrams; explaining the properties of the set; defining set operations; and solving problems related to sets.
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Hartono, H., Khaeriyah, D. Z., Sari, D. L., Ilfiana, M., & Nursyahidah, F. (2021). DEVELOPMENT OF LEARNING TRAJECTORY ON THE SET TOPIC FOR 7TH GRADE IN THE CONTEXT OF SEDEKAH LAUT TRADITION . Kalamatika: Jurnal Pendidikan Matematika, 6(2), 181-194. https://doi.org/10.22236/KALAMATIKA.vol6no2.2021pp181-194
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Ratnasari, S., & Setiawan, W. (2019). Analisis kesulitan belajar siswa pada materi himpunan. Journal On Education, 01(02), 473–479. https://doi.org/10.31004/joe.v1i2.94
Putrawangsa, S. (2018). Desain Pembelajaran: Design Research sebagai Pendekatan Desain Pembelajaran. CV. Reka Karya Amerta.
Sari, P., Putri, R. I. I., & Kesumawati, N. (2015). Desain Pembelajaran Materi Pengukuran Sudut Dengan Pendekatan Pmri Untuk Kelas VI. Numeracy, 2(April 2015), 33–42. /https://doi.org/10.46244/numeracy.v2i1.151
Wahidin, & Sugiman. (2014). Pengaruh Pendekatan PMRI terhadap Motivasi Berprestasi, Kemampuan Pemecahan Masalah, dan Prestasi Belajar. PYTHAGORAS: Jurnal Pendidikan Matematika, 9(1), 99–109. https://doi.org/10.21831/pg.v9i1.9072
Widyawati, W., Ilma, R., & Putri, I. (2016). Desain pembelajaran sudut menggunakan konteks rumah limas di kelas vii. JINoP (Jurnal Inovasi Pembelajaran), 2(November), 437–448. https://doi.org/10.22219/jinop.v2i2.3489
Wijaya, A. (2012). Pendidikan matematika realistik suatu alternatif pendekatan pembelajaran matematika. Yogyakarta: Graha Ilmu.
Zukardi, & Ilma, R. (2006). Mendesain sendiri soal kontekstual matematika. In Prosiding KNM13. Konferensi Nasional Matematika ke-13, 1–7. http://repository.unsri.ac.id/id/eprint/6350
Afriansyah, E. A. (2016). Makna Realistic dalam RME dan PMRI. Lemma, 2(2), 96–104. https://core.ac.uk/download/pdf/229189196.pdf
Asnidar, A. (2014). Media Software Geogebra Untuk Meningkatkan Hasil Belajar Siswa Pada Materi Persamaan. Jurnal Elektronik Pendidikan Matematika Tadulako, 1(2). http://jurnal.untad.ac.id/jurnal/index.php/JEPMT/article/view/3220
BSNP. (2006). Standar Isi Untuk Satuan Pendidikan Dasar dan Menengah Standar Kompetensi dan Kompetensi Dasar SMP/MTS. Jakarta: Badan Standar Nasional Pendidikan.
Dwidarti, U., Mampouw, H. L., & Setyadi, D. (2019). Analisis Kesulitan Siswa dalam Menyelesaikan Soal Cerita pada Materi Himpunan. Jurnal Cendekia : Jurnal Pendidikan Matematika, 3(2), 315–322. https://doi.org/10.31004/cendekia.v3i2.110
Fahrurozi, A., Maesaroh, S., Suwanto, I., & Nursyahidah, F. (2018). Developing Learning Trajectory Based Instruction of the Congruence for Ninth Grade Using Central Java Historical Building. JRAMathEdu (Journal of Research and Advances in Mathematics Education), 3(2), 78–85. https://doi.org/10.23917/jramathedu.v3i2.6616
Fitri, N. L., & Prahmana, R. C. I. (2018). Pembelajaran Luas Segiempat untuk Siswa Kelas VII Menggunakan Reallotment Activities. Jurnal Review Pembelajaran Matematika, 3(1), 18–28. https://doi.org/10.15642/jrpm.2018.3.1.18-28
Gravemeijer, K., & Cobb, P. (2006). Design research from a learning design perspective. In Educational design research (pp. 29-63). Routledge.
Harahap, A. (2019). Analisis kesulitan belajar matematika siswa pada materi pokok himpunan di kelas VII MTsS Robitotul Istiqomah Kecamatan Huristak (Doctoral dissertation, IAIN Padangsidimpuan). http://etd.iain-padangsidimpuan.ac.id/id/eprint/838
Hartono, H., Nursyahidah, F., & Kusumaningsih, W. (2021). Learning design of lines and angles for 7 th -grade using Joglo traditional house context. JRAMathEdu (Journal of Research and Advances in Mathematics Education), 6(4), 316–330. https://doi.org/10.23917/jramathedu.v6i4.14592
Lestari, A. A. P., Nugroho, A. A., & Nursyahidah, F. (2021). Desain Pembelajaran Refleksi dan Translasi Berkonteks Klenteng Sam Poo Kong Semarang. Jurnal Elemen, 7(2), 381–393. https://doi.org/10.29408/jel.v7i2.3400
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. https://doi.org/10.31316/j.derivat.v5i1.143
Nieveen, N., McKenney, S, dan Akker. (2006). Educational Design Research: The Value of Variety. Dalam Akker, dkk. (Ed.): Educational Design Research. New York: Routledge. Hlm. 151 – 158.
Nursyahidah, F., Saputro, B. A., & Albab, I. U. (2020). Learning reflection through the context of Central Java historical building. Journal of Physics: Conference Series, 1567(2). https://doi.org/10.1088/1742-6596/1567/2/022095
Nursyahidah, F, Albab, I. U., & Saputro, B. A. (2021). Learning cylinder through the context of Giant Lopis tradition. Journal of Physics: Conference Series, 1918(4), 042086. https://doi.org/10.1088/1742-6596/1918/4/042086
Nursyahidah, F., Albab, I. U., & Saputro, B. A. (2021). Learning dilation through Lawang Sewu context. Journal of Physics: Conference Series, 1957(1), 012001. https://doi.org/10.1088/1742-6596/1957/1/012001
Nursyahidah, Farida, Saputro, B. A., & Rubowo, M. (2018). Supporting second grade lower secondary school students’ understanding of linear equation system in two variables using ethnomathematics. Journal of Physics: Conference Series (Vol. 983, No. 1, p. 012119). IOP Publishing, 983(1).
Nursyahidah, Farida, Saputro, B. A., Ulil, I., & Aisyah, F. (2020). Pengembangan Learning Trajectory Based Instruction Materi Kerucut Menggunakan Konteks Megono Gunungan. Mosharafa: Jurnal Pendidikan Matematika, 9(1), 47–58. https://doi.org/10.31980/mosharafa.v9i1.560
Pratiwi, W. N. F., & Khotimah, R. P. (2016). Analisis Kesulitan Belajar Siswa Pada Materi Himpunan Di SMP Muhammadiyah 10 Surakarta Tahun Pelajaran 2015/2016 (Doctoral dissertation, Universitas Muhammadiyah Surakarta). http://eprints.ums.ac.id/48132/
Puspasari, L., Zulkardi, Z., & Somakim. (2015). Desain pembelajaran luas segi banyak menggunakan tangram berpetak di kelas iv. JINoP (Jurnal Inovasi Pembelajaran), 1(November), 150–162. https://doi.org/10.22219/jinop.v1i2.2566
Ratnasari, S., & Setiawan, W. (2019). Analisis kesulitan belajar siswa pada materi himpunan. Journal On Education, 01(02), 473–479. https://doi.org/10.31004/joe.v1i2.94
Putrawangsa, S. (2018). Desain Pembelajaran: Design Research sebagai Pendekatan Desain Pembelajaran. CV. Reka Karya Amerta.
Sari, P., Putri, R. I. I., & Kesumawati, N. (2015). Desain Pembelajaran Materi Pengukuran Sudut Dengan Pendekatan Pmri Untuk Kelas VI. Numeracy, 2(April 2015), 33–42. /https://doi.org/10.46244/numeracy.v2i1.151
Wahidin, & Sugiman. (2014). Pengaruh Pendekatan PMRI terhadap Motivasi Berprestasi, Kemampuan Pemecahan Masalah, dan Prestasi Belajar. PYTHAGORAS: Jurnal Pendidikan Matematika, 9(1), 99–109. https://doi.org/10.21831/pg.v9i1.9072
Widyawati, W., Ilma, R., & Putri, I. (2016). Desain pembelajaran sudut menggunakan konteks rumah limas di kelas vii. JINoP (Jurnal Inovasi Pembelajaran), 2(November), 437–448. https://doi.org/10.22219/jinop.v2i2.3489
Wijaya, A. (2012). Pendidikan matematika realistik suatu alternatif pendekatan pembelajaran matematika. Yogyakarta: Graha Ilmu.
Zukardi, & Ilma, R. (2006). Mendesain sendiri soal kontekstual matematika. In Prosiding KNM13. Konferensi Nasional Matematika ke-13, 1–7. http://repository.unsri.ac.id/id/eprint/6350