Learning Design of Pythagorean Theorem Contextualized Salt House with Interactive Videos
DOI:
https://doi.org/10.24235/eduma.v12i2.14540Keywords:
Pythagorean Theorem, Design Research, Learning Trajectory, PMRI, Salt HouseAbstract
The Pythagorean theorem is one of the materials in geometry and has a close relationship with everyday life. However, many students still have difficulty understanding the concepts and solving problems related to the material. This study aims to develop a learning trajectory that assists students in improving their ability to understand the concept of the Pythagorean theorem using the context of an interactive video-assisted Salt House in class VII SMP Negeri 2 Pegandon. This learning trajectory consists of four activities, namely: (1) finding the concept and formula of the Pythagorean theorem with the help of a video context; (2) finding concepts related to the length of one side of a triangle if two sides are known; (3) determining the type of triangle based on the length of its side; (4) finding and checking related Pythagorean triple number patterns. This study uses design research method which consists of three stages, namely preparing for the experiment, design experiment, and retrospective analysis. The learning approach used is PMRI. The results of the research conducted show that the learning trajectory obtained can improve students' mathematical problem solvings skills on the Pythagorean theorem materialReferences
Adelabu, F. M., Makgato, M., & Ramaligela, M. S. (2019). The importance of Dynamic Geometry Computer Software on learners’ performance in geometry. The Electronic Journal of E-Learning, 17(1), 52–63. Retrieved from https://academic-publishing.org/index.php/ejel/article/view/1870
Akker, V. den J., Gravemeijer, K., McKenny, S., & Nieveen, N. (2006). Educational Design Research (1st ed.). Routledge. https://doi.org/https://doi.org/10.4324/9780203088364
As’ari, A. R., Tohir, M., Valentino, R., Imron, Z., & Taufiq, I. (2017). Matematika (2nd ed.). Kemendikbud.
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.Retrieved from https://www.journals.uchicago.edu/doi/abs/10.1086/596999
Hidayah, I. S., & Fitriani, N. (2021). Analisis Kesulitan Siswa SMP Kelas VII dalam Memahami Materi Segiempat dan Segitiga dalam Pembelejaran Daring. Jurnal Pembelajaran Matematika Inovatif, 4(3), 631–642. https://doi.org/10.22460/jpmi.v4i3.631-642
Kwan, Y., & Wong, A. (2014). The Constructivist Classroom Learning Environment and Its Associations with Critical Thinking Ability of Secondary School Students in Liberal Studies. Learning Environment Research, 17(2), 191–207. https://doi.org/https://doi.org/10.1007/s10984-014-9158-x
Lince, R. (2016). Creative Thinking Ability to Increase Student Mathematical of Junior High School by Applying Models Numbered Heads Together. Journal of Education and Practice, 7(6), 206–212.Retrieved from https://eric.ed.gov/?id=EJ1092494.
Lisnani, & Asmaruddin, S. N. (2018). Desain Buku Ajar Matematika Bilingual Materi Bangun Datar Menggunakan Pendekatan PMRI Berkonteks Kebudayaan Lokal. Mosharafa: Jurnal Pendidikan Matematika, 7(3), 345–356. https://doi.org/https://doi.org/10.31980/mosharafa.v7i3.134
Maisyarah, S., & Prahmana, R. C. I. (2020). Pembelajaran Luas Permukaan Bangun Ruang Sisi Datar Menggunakan Pendekatan Pendidikan Matematika Realistik Indonesia. Jurnal Elemen, 6(1), 68–88. https://doi.org/10.29408/jel.v6i1.1713
Marlinda, I., & Wijaya, A. (2018). Pengembangan perangkat pembelajaran dengan pendekatan pendidikan matematika realistik berorientasi pada minat dan prestasi Developing a learning set with realistic mathematics education approach oriented to the interest and achievement. Phytagoras: Jurnal Pendidikan Matematika, 13(1), 76–87. https://doi.org/http://dx.doi.org/10.21831/pg.v13i1.21171
Nursyahidah, F., & Albab, I. U. (2021). Learning Design on Surface Area and Volume of Cylinder Using Indonesian Ethno-mathematics of Traditional Cookie maker Assisted by GeoGebra. Mathematics Teaching Research Journal, 13(4), 79–98. Retrieved from https://eric.ed.gov/?id=EJ1332350
Nursyahidah, F., Saputro, B. A., & Albab, I. U. (2021a). Desain Pembelajaran Kerucut Berkonteks Tradisi Megono Gunungan. Jurnal Elemen, 7(1), 19–28. https://doi.org/10.29408/jel.v7i1.2655
Nursyahidah, F., Saputro, B. A., Albab, I. U., & 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
Nursyahidah, F., Saputro, B. A., & Albab, U. A. (2021b). The Learning Trajectory of Sphere Using Megono Gunungan Tradition Context. International Journal of Engineering Science and Computing, 5(2), 69–76. https://doi.org/https://dx/doi.org/10.12928/ijeme.v5i2.18313
Priyanto, A., Suharto, & Trapsilasiwi, D. (2015). Analisis Kesalahan Siswa dalam Menyelesaikan Soal Cerita Matematika Pokok Bahasan Teorema Phytagoras Berdasarkan Kategori Kesalahan Newman di Kelas VIII A SMP Negeri 10 Jember. In Artikel Ilmiah Mahasiswa (Vol. 1, Issue 1).
Rahmania, L., & Rahmawati, A. (2016). Analisis Kesalahan Siswa dalam Menyelesaikan Soal Cerita Persamaan Linier Satu Variabel. JMPM: Jurnal Matematika Dan Pendidikan Matematika, 1(2), 165. https://doi.org/https://doi.org/10.26594/jmpm.v1i2.639
Rahmiati, Musdi, E., & Fauzi, A. (2017). Pengembangan Perangkat Pembelajaran Matematika Berbasis Discovery Learning Untuk Meningkatkan Kemampuan Pemecahan Masalah Siswa Kelas VIII SMP. Mosharafa: Jurnal Pendidikan Matematika, 6(2), 267–272.
Sahara, R. I. A., & Nurfauziah, P. (2021). Analisis Kesulitan Siswa Materi Bangun Ruang Sisi Datar Berdasarkan Tahap Berpikir Van Hiele. Jurnal Pembelajaran Matematika Inovatif, 4(4), 911–920. https://doi.org/https://doi.org/10.22460/jpmi.v4i4.911-920
Saputri, M. A., Darmawan, P., & Prayekti, N. (2019). Analisis Kesulitan Siswa SMP Kelas VIII dalam Pemecahan Masalah Teorema Pythagoras. In Prosiding Seminar Nasional MIPA UNIBA 2019.
Sholihah, S. Z., & Afriansyah, E. A. (2017). Analisis kesulitan siswa dalam proses pemecahan masalah geometri berdasarkan tahapan berpikir van hiele. Mosharafa: Jurnal Pendidikan Matematika, 6(2), 287–298. https://doi.org/10.31980/mosharafa.v6i2.317
Soleha, Rasiman, & Purwosetiyono, F. D. (2019). Analisis Kesulitan Siswa dalam Menyelesaikan Masalah Matematika Ditinjau dari Gaya Belajar Siswa SMK. Imajiner: Jurnal Matematika Dan Pendidikan Matematika, 1(5), 138–147.
Sukmawati, S., & Amelia, R. (2020). Analisis Kesalahan Siswa SMP dalam Menyelesaikan Soal Materi Segiempat Berdasarkan Teori Nolting. Jurnal Pembelajaran Matematika Inovatif, 3(2), 223. https://doi.org/https://doi.org/10.22460/jpmi.v3i5.423-432
Sura, G. L., Tahmir, S., & Dassa, A. (2021). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal pada Materi Persamaan Kuadrat. Mathematics Education (IMED), 5(1), 73–81. https://doi.org/https://doi.org/10.35580/imed19914
Tandiseru, S. R. (2015). The effectiveness of local culture-based mathematical heuristic-KR learning towards enhancing students’ creative thinking skill. Journal of Education and Practice, 6(15), 74–81. https://eric.ed.gov/?id=EJ1080709.
Warih, P. D., Parta, I. N., & Rahardjo, S. (2016). Analisis Kemampuan Koneksi Matematis Siswa Kelas VIII Pada Materi Teorema Pythagoras. Prosiding Konferensi Nasional Penelitian Matematika Dan Pembelajarannya [KNPMP I] Universitas Muhammadiyah Surakarta, 12 Maret 2016, Knpmp I, 377–384 https://proceedings.ums.ac.id/index.php/knpmp/article/view/2523.
Waskitoningtyas, R. S. (2016). Analisis kesulitan belajar matematika siswa kelas V Sekolah Dasar Kota Balikpapan pada materi satuan waktu tahun ajaran 2015/2016. Jurnal Ilmiah Pendidikan Matematika, 5(1), 24–32. http://doi.org/10.25273/jipm.v5i1.852
Widodo, S. A. (2013). Analisis Kesalahan dalam Pemecahan Masalah Divergen Tipe Membuktikan pada Mahasiswa Matematika. Jurnal Pendidikan Dan Pengajaran, 46(2), 106–113. https://doi.org/10.23887/jppundiksha.v46i2%20Juli.2663
Zulkardi, Z., & Putri, R. I. I. (2010). Pengembangan Blog Support Untuk Membantu Siswa dan Guru Matematika Indonesia Belajar Pendidikan Matematika Realistic Indonesia (PMRI). Jurnal Inovasi Perekayasa Pendidiakan (JIPP), 2(1), 1–24.
Downloads
Published
Issue
Section
License

This work is licensed under a Creative Commons Attribution 4.0 International License.
By submitting a manuscript to EduMa: Mathematics Education Learning and Teaching, the author(s) agree to the following terms:
Copyright Retention and Licensing The author(s) retain the copyright of their work and grant EduMa the right of first publication. The article is simultaneously licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). This license allows others to share (copy and redistribute) and adapt (remix, transform, and build upon) the work for any purpose, provided that the original authorship and initial publication in this journal are properly cited.
Author Rights: Authors are permitted and encouraged to disseminate their published article (e.g., in institutional repositories or on their personal websites). Authors retain the right to use their articles for any lawful purpose without requiring written permission from EduMa, provided that the original publication in this journal is clearly acknowledged.
Website Content License: All content published on this website is licensed under a Creative Commons Attribution 4.0 International License.

EduMa: Mathematics Education Learning and Teaching by https://syekhnurjati.ac.id/jurnal/index.php/eduma/index is licensed under a Creative Commons Attribution 4.0 International License.