ANALISIS PENALARAN GEOMETRIS MAHASISWA PENDIDIKAN MATEMATIKA SEMESTER IV DALAM PENYELESAIAN MASALAH SEGITIGA PADA GEOMETRI EUCLID MELALUI REPRESENTASI MOTIF ULOS BATAK.
DOI:
https://doi.org/10.23969/jp.v11i02.47760Keywords:
Geometric, Euclid, Ethnomathematics, Ulos, Newman Error AnalysisAbstract
This study aims to analyze students' geometric reasoning in solving triangle problems in Euclid Geometry through the representation of Ulos Batak motifs and identify the types of errors that occur. This study uses a descriptive qualitative approach with the subjects of 15 students in the fourth semester of Mathematics Education. The instrument was in the form of 5 HOTS-based description questions, and the data were analyzed using the Miles and Huberman model and Newman Error Analysis (NEA). The results showed that students' geometric reasoning skills were in the high category, with 80% in the high category and 20% in the medium category, and an average score of 87.4%. The aspects of understanding and transformation are relatively good, while reasoning and connection are still low. The dominant error is interpretation error. Thus, the use of Ulos Batak motifs supports geometry learning, but it needs to be strengthened in the aspects of interpretation and concept connection.
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References
Amato, Roberto. (2017). A characterization of pythagorean triples. JP Journal of Algebra, Number
Ardiawan, Y. (2015). Analisis Kesalahan Mahasiswa dalam Menyelesaikan soal Induksi Matematika di IKIP PGRI Pontianak. Jurnal Pendidikan Informatika dan Sains, 4(1), 147-163.https://doi.org/10.31571/saintek.v4i1.13
Arianto, Fuad & Hernadi (2016). Ruang Dasar dan Model Proyeksi Stereografik pada Geometri Hiperbolik; Jurnal Silogisme: Kajian Ilmu Matematika dan Pembelajarannya Vol. 1, No.2.
Fitriatunnisa, N., Amrullah, A., & Turmuzi, M. (2025). Analisis kesalahan siswa SMA dalam menyelesaikan soal geometri bidang datar berdasarkan prosedur Newman. Jurnal Pendidikan Matematika, 14(2), 145–162.
Fouze, A. Q., & Amit, M. (2018). Ethnomathematics: A Bridge Between Cultural Traditions and Modern Society. International Journal of Engineering Pedagogy, 8(4), 53-63.
Hamdani, D., Kurniati, E., & Rif'at, M. (2024). Pemahaman konsep geometri dasar mahasiswa pendidikan matematika: Kajian diagnostik dan implikasinya. Jurnal Riset Pendidikan Matematika, 11(1), 34–49.
Kodongan, K. J., Palobo, M., & Leton, S. I. (2025). Tingkat pemahaman siswa SMA pada materi segitiga melalui pendekatan kontekstual berbasis kearifan lokal. Jurnal Matematika dan Pendidikan Matematika, 10(1), 78–96.
Lubis, H. F., Manurung, A. S. M., Napitupulu, P. M. T., & Situngkir, F. L. (2026). Analisis etnomatematika pada motif ulos ragi hotang Batak Toba. Jurnal Multidisiplin Ilmu Akademik (JMIA), 3(2), 115-125. https://doi.org/10.61722/jmia.v3i2.8850
Mhlolo, M., & Schafer, M. (2021). Cognitive challenges in geometry problem solving: A Newman error analysis approach. South African Journal of Education, 41(2), 203–219.
Naufal, M., Abdullah, A., Zainal, Z., Ihsan, H., Zaki, A., & Alshaye, I. (2024). The trend of geometric thinking studies: a systematic review. Itm Web of Conferences, 58, 03010. https://doi.org/10.1051/itmconf/20245803010
Naufal, N. & Juandi, D. (2024). Spatial ability in learning mathematics: systematic literature review (SLR). KNE Social Sciences. https://doi.org/10.18502/kss.v9i13.15935
Punia, I. G. E. A. A. (2026). Teorema Phytagoras dalam fungsi kompleks dengan integer Gaussian. Prosiding Seminar Nasional Sains dan Teknologi Seri V Fakultas Sains dan Teknologi, Universitas Terbuka, 3(1), 818.
Purba, J. T., Sari, N. F., Siagian, D. S., Manalu, B. M., & Pasaribu, C. F. (2022). Inspeksi etnomatematika kain ulos sadum untuk mengungkap nilai filosofi konsep matematika geometri bangun datar. Intelektiva, 3(6), 65-72.
Rosa, Milton & Orey, Daniel Clark. (2011). Ethnomathematics: The Cultural Aspects of Mathematics. Revista Latinoamericana de Etnomatemática. Vol. 4, No.2, hal. 32-54.
Saikia, Manjil P. (2013). "The Pythagoras's Theorem". p. 5. arXiv:1310.0986
Sirate, F. S. (2012). Implementasi etnomatematika dalam pembelajaran matematika pada jenjang pendidikan sekolah dasar. Lentera Pendidikan: Jurnal Ilmu Tarbiyah Dan Keguruan, 15(1), 41–54.
Sunardiningsih, G. W., Hariyani, S., & Fayeldi, T. (2019). Analisis Kesalahan Siswa dalam Menyelesaikan Soal Matematika Berdasarkan Analisis Newman. RAINSTEK: Jurnal Terapan Sains & Teknologi, 1(2), 41–45. https://doi.org/10.21067/jtst.v1i2.3447
Usiskin, Z. (2018). Electronic vs. paper textbook presentations of the various aspects of mathematics. ZDM – Mathematics Education, 50(5), 849–861.
Vera, Nawiroh. 2015. Semiotika dalam Riset Komunikasi. Bogor: Ghalia Indonesia.
Wahyuni, R., Efuansyah, & Fitriyana, N. (2026). Analisis kesalahan siswa dalam menyelesaikan masalah geometri berdasarkan tahapan Newman. Jurnal e-DuMath, 12(1), 90-98. https://doi.org/10.26638/
Widana, I Wayan. (2017). Penyusunan Soal Higher Order Thinking Skill (HOTS). Jakarta: Depdikbud.
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