Analisis Pemecahan Masalah Geometri Bidang Datar dalam Konteks Lokal dan Tingkat Pemahaman Siswa Kelas XI-7 SMA Negeri 3 Medan pada Materi Segitiga

Authors

  • Pujiono Sihite Departement of Mathematics Education, Universitas Negeri Medan
  • Immanuel Simbolon Departement of Mathematics Education, Universitas Negeri Medan
  • Samuel Tappin Martua Sitorus Departement of Mathematics Education, Universitas Negeri Medan
  • Joyce Lidya Patricia Daeli Departement of Mathematics Education, Universitas Negeri Medan
  • KMA Fauzi Departement of Mathematics Education, Universitas Negeri Medan

DOI:

https://doi.org/10.23969/jp.v11i02.47392

Keywords:

problem solving, triangle geometry, human error, HOTS, local context

Abstract

This study aims to analyze students' problem-solving abilities in plane geometry within a local context and to identify types of human errors made by Grade XI-7 students at SMA Negeri 3 Medan on triangle material. The studyemployed a descriptive qualitative approach with 20 students selected through purposive sampling. Data were collectedthrough a written test consisting of 5 Higher Order Thinking Skills (HOTS) essay questions based on local contexts, completed within 40 minutes, and analyzed using a human error analysis scoring rubric. The results indicate that students' understanding levels vary across indicators: translation, interpolation, and extrapolation. The dominant error types identified include conceptual errors, procedural errors, and careless errors. These findings have important implications for mathematics teachers in designing more contextual geometry learning based on student error analysis.

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References

Coxeter, H. S. M. (1961). Introduction to geometry. John Wiley & Sons.

Coxeter, H. S. M., & Greitzer, S. L. (1967). Geometry revisited. Mathematical Association of America.

Creswell, J. W. (2014). Research design: Qualitative, quantitative, and mixed methods approaches (4th ed.). SAGE Publications.

D'Ambrosio, U. (2001). Ethnomathematics: Link between traditions and modernity. Sense Publishers.

Darling-Hammond, L., & Snyder, J. (2000). Authentic assessment of teaching in context. Teaching and Teacher Education, 16(5–6), 523–545.

Euclid. (300 SM/1956). The thirteen books of Euclid's elements (T. L. Heath, Trans.). Dover Publications.

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.

Freudenthal, H. (1991). Revisiting mathematics education: China lectures. Kluwer Academic Publishers.

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.

Hiebert, J., & Carpenter, T. P. (1992). Learning and teaching with understanding. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 65–97). Macmillan.

Johnson, E. B. (2002). Contextual teaching and learning: What it is and why it's here to stay. Corwin Press.

Kastolan. (1992). Identifikasi jenis-jenis kesalahan penyelesaian soal matematika SMA negeri Malang [Tesis tidak diterbitkan]. IKIP Malang.

Kemendikbud. (2019). Panduan penyusunan soal Higher Order Thinking Skills (HOTS). Direktorat Jenderal Pendidikan Dasar dan Menengah.

King, F. J., Goodson, L., & Rohani, F. (1998). Higher order thinking skills. Center for Advancement of Learning and Assessment.

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.

Lester, F. K. (1994). Musings about mathematical problem-solving research: 1970–1994. Journal for Research in Mathematics Education, 25(6), 660–675.

Lial, M. L., Hornsby, J., Schneider, D. I., & Daniels, C. J. (2016). Precalculus (6th ed.). Pearson. Marzano, R. J. (2006). Classroom assessment and grading that work. ASCD.

Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis: An expanded sourcebook (2nd ed.). SAGE Publications.

NCTM. (2000). Principles and standards for school mathematics. National Council of Teachers of Mathematics. Newman, M. A. (1977). An analysis of sixth-grade pupils' errors on written mathematical tasks. Victorian Institute for

Educational Research Bulletin, 39, 31–43.

Nurhadi. (2004). Pembelajaran kontekstual (contextual teaching and learning/CTL) dan penerapannya dalam KBK. Universitas Negeri Malang Press.

Polya, G. (1973). How to solve it: A new aspect of mathematical method (2nd ed.). Princeton University Press.

Rosa, M., & Orey, D. C. (2011). Ethnomathematics: The cultural aspects of mathematics. Revista Latinoamericana de Etnomatemática, 4(2), 32–54.

Schoenfeld, A. H. (1985). Mathematical problem solving. Academic Press. Stewart, J. (2012). Calculus (7th ed.). Brooks/Cole.

Sugiyono. (2019). Metode penelitian kuantitatif, kualitatif, dan R&D. Alfabeta.

Sukestiyarno, Y. L., Ulya, H., & Prasetyo, B. (2023). Kemampuan spasial siswa melalui lintasan belajar geometri berbasis masalah visual: Studi eksplorasi di SMA. Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika, 7(1), 55–72.

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Published

2026-05-07