Mathematical Literacy of University Students in Solving Higher-Order Thinking Skills (Hots) Problems in Advanced Geometric Transformations
DOI:
https://doi.org/10.17977/um067v6i82026p4Keywords:
Mathematical Literacy, Mathematics Problems, Higher-Order Thinking Skills (HOTS), Geometric TransformationsAbstract
This study aimed to analyze the mathematical literacy of university students in solving Higher-Order Thinking Skills (HOTS)-based problems on geometric transformations in an Advanced Mathematics course. A descriptive qualitative approach was employed, involving six participants selected through purposive sampling to represent high-, medium-, and low-ability groups. Data were collected using a written HOTS-based mathematics test and analyzed following the data analysis model of Miles, Huberman, and Saldaña. The findings indicate that students' mathematical literacy can be classified into three categories: (1) accurate and appropriate visual representations, (2) inaccurate visual representations, and (3) absence of visual representations. Students in the high-ability category successfully demonstrated all indicators of mathematical literacy, including problem comprehension, solution strategy development, mathematical representation, visualization, and logical reasoning. Students in the medium-ability category exhibited partial understanding but still experienced conceptual misunderstandings and weaknesses in visualization. In contrast, students in the low-ability category were unable to integrate symbolic and visual representations effectively and demonstrated deficiencies across nearly all mathematical literacy indicators. These findings suggest that visual representation is a key factor in successfully solving HOTS-based geometric transformation problems. Therefore, mathematics instruction should be designed using contextual, visual, and HOTS-oriented learning approaches to enhance university students' mathematical literacy.
References
Abdul Hanid, M. F., Mohamad Said, M. N. H., Yahaya, N., & Abdullah, Z. (2022). Effects of augmented reality application integration with computational thinking in geometry topics. Education and Information Technologies, 27(7), 9485–9521. https://doi.org/10.1007/s10639-022-10994-w
Aditya, L., Musa, D., Munir, N. P., Garcia, J. G., & Rodriguez-nieto, C. A. (2025). Students ’ problem -solving skills in HOTS geometry tasks : A case study of spatial ability. Jurnal Pendidikan Ma, 16(02), 597–614. https://doi.org/10.24042/ajpm.v16i2.28482
Diana, N., Agustinasari, A., Khatimah, H., Ibnusaputra, M., Adiansha, A. A., & Muslim, M. (2025). HOTS Geometry Analysis on Critical Thinking and Numeracy Skills Reviewed Learning Style and Gender. Edumatica : Jurnal Pendidikan Matematika, 15(2), 245–264. https://doi.org/10.22437/edumatica.v15i2.44262
Diana, N., Khatimah, H., Ibnusaputra, M., & Adiansha, A. A. (2025). HOTS Geometry Analysis on Critical Thinking and Numeracy Skills Reviewed Learning Style and Gender HOTS Geometry Analysis on Critical Thinking and Numeracy Skills …. Jurnal Pendidikan Matematika, 15(2), 245–264. https://doi.org/https://doi.org/10.22437/edumatica.v15i2.44262
Fatmawati, R., & Yahfizham. (2024). Systematic Literature Review : Pemanfaatan Aplikasi Geogebra Pada Materi Transformasi Geometri. International Journal of Mathematics and Science Education, 1(2), 1–11. https://doi.org/https://doi.org/10.62951/ijmse.v1i2.17
Feig, A. D., & Stokes, A. (2011). Qualitative Inquiry in Geoscience Education Research. Qualitative Inquiry in Geoscience Education Research, 7(1), 112–128. https://doi.org/10.1130/spe474
Hakim, L. El, Cahyani, A., & Sovia, A. (2024). Needs Analysis of Learning Devices With Reciprocal Teaching Model Assisted by GeoGebra on Geometric Transformation Material. Pendas : Jurnal Ilmiah Pendidikan Dasar, 09(September), 622–626. https://doi.org/https://doi.org/10.23969/jp.v9i3.18950
Iskandar, I., Wahyudin, W., Suhendra, S., Ramlah, R., & Ardiyanti, Y. (2024). Mathematical literacy of senior high school students on different multiple intelligences groups. Research and Development in Education (RaDEn), 4(2), 1216–1229. https://doi.org/10.22219/raden.v4i2.36300
Kustiawati, D., Azzahra, Z., & Satriawati, G. (2023). Analisis Kemampuan Literasi Spasial Siswa Pada Materi Transformasi Geometri. ALGORITMA: Journal of Mathematics Education, 5(2), 137–152. https://doi.org/10.15408/ajme.v5i2.36435
Medoh, N., Pratiwi, N., & Pradiarti, R. A. (2026). Analisis Pemanfaatan Motif Tenun Ikat Flores sebagai Sumber Belajar Kontekstual melalui Simetri dan Transformasi Geometri dalam Perspektif Etnomatematika. Jurnal Alokantara, 1(1), 31–40.
Miles, M.B., Huberman, a. m., & Saldana, J. (2015). Qualitative Data A Methods Sourcebook. In Etika Jurnalisme Pada Koran Kuning : Sebuah Studi Mengenai Koran Lampu Hijau (Vol. 16, Number 2). Sage Publications.
Musa, L. A. D., Munir, N. P., Muhammad Ikram, Javier Garcia Garcia, & Camilo Andres Rodriguez-Nieto. (2025). Students’ problem-solving skills in HOTS geometry tasks: A case study of spatial ability. Al-Jabar : Jurnal Pendidikan Matematika, 16(2), 597–614. https://doi.org/10.24042/ajpm.v16i2.28482
Nadarajan, K., Abdullah, A. H., Syuhada, N., Alhassora, A., Ibrahim, H., Surif, J., Ali, D. F., Zaid, N. M., & Hamzah, H. (2022). The Effectiveness of a Technology-Based Isometrical Transformation Flipped Classroom Learning Strategy in Improving Students ’ Higher Order Thinking Skills. IEEE Access, 01, 1–9. https://doi.org/10.1109/ACCESS.2022.3230860
Ningsih, Y. L., Destiniar, Fitriasari, P., & Octaria, D. (2025). Analisis Kebutuhan Instrumen Tes Higher Order Thinking Skills (HOTS) pada Materi Geometri. Indiktika : Jurnal Inovasi Pendidikan Matematika, 7(2), 325–335. https://doi.org/10.31851/indiktika.v7i2.18470
Niss, M., & Højgaard, T. (2019). Mathematical competencies revisited. Educational Studies in Mathematics, 102(1), 9–28. https://doi.org/10.1007/s10649-019-09903-9
Pamungkas, M. D., Zaenuri, & Wardono. (2021). Ethnomathematics: Geometric analysis of historical buildings ngawen temple in Magelang. Journal of Physics: Conference Series, 1918(4), 042102. https://doi.org/10.1088/1742-6596/1918/4/042102
Pradiarti, R. A., Sudirman, & Sisworo. (2024a). Kemampuan Berpikir Kreatif Siswa dalam Menyelesaikan Masalah Open Ended Materi Geometri. Jurnal Teorema: Teori Dan Riset Matematika, 09(November 2023), 93–106. https://doi.org/http://dx.doi.org/10.25157/teorema.v9i1.12782
Pradiarti, R. A., Sudirman, & Sisworo. (2024b). Student’s Creative Thinking Process in Solving Multiple Solution Tasks on Geometry Material. Jurnal Pendidikan MIPA, 25(August), 248–263. https://doi.org/http://dx.doi.org/10.23960/jpmipa/v25i1.pp248-263
Rahayu, D. S., Gunawan, Y. A. U., Fitriana, D. A., Sari, Y. A., & Ariska, W. S. (2022). Pengembangan Prototipe E-Modul Matematika Berorientasi HOTS pada Materi Transformasi Geometri Kelas IX. MATHEMA: JURNAL PENDIDIKAN MATEMATIKA, 4(1), 39. https://doi.org/10.33365/jm.v4i1.1805
Rismawati, M., Andri, A., B Rindiani, A., & Wahyudi. (2025). ANALISIS KONEKSI MATEMATIS DAN BERPIKIR KRITIS SISWA KOGNITIF TINGGI PADA MASALAH MATEMATIKA HOTS. Kadikma, 16(2), 27–37. https://doi.org/10.19184/kdma.v16i2.53713
Safitri, F., Nuri, B., & Novianti. (2024). PENGEMBANGAN SOAL HOTS BERBASIS LITERASI MATEMATIKA PADA MATERI TRANSFORMASI GEOMETRI. Jurnal Pendidikan Matematika Dan Sains, 05(02), 130–236.
Trisna, T. A., Ikhsan, M., & Elizar, E. (2022). Abilities and Difficulties of Eight Grade Students in Solving Geometry Transformation Problems. Jurnal Pendidikan MIPA, 23(4), 1724–1737. https://doi.org/10.23960/jpmipa/v23i2.pp1724-1737
Turgut, M. (2022). Reinventing Geometric Linear Transformations in a Dynamic Geometry Environment: Multimodal Analysis of Student Reasoning. International Journal of Science and Mathematics Education, 20(6), 1203–1223. https://doi.org/10.1007/s10763-021-10185-y
Tyastuti, I. F., Pradiarti, R. A., Sabar, & Erdiana, M. (2025). Pengaruh Penggunaan Media Tiga Dimensi Jaring-Jaring Kubus Terhadap Kemampuan Visualisasi Spasial Peserta Didik Kelas Vi Pada Materi Geometri Di Sdn Payaman. Didaktik : Jurnal Ilmiah PGSD STKIP Subang, 11(04), 337–349.
Wedastuti, N. K., & Faradiba, S. S. (2023). Analysis of student’s mathematical thinking in solving HOTs problems viewed from mathematics anxiety. International Journal of Trends in Mathematics Education Research, 6(1), 33–40. https://doi.org/10.33122/ijtmer.v6i1.173
Wulandari, S., Kartika Sari, C., Nurcahyo, A., Setyaningsih, R., Surakarta, U. M., & Yani, J. A. (2023). Literasi Matematika Siswa Dalam Memecahkan Masalah Hots. Jurnal Pembelajaran Matematika Inovatif , 6(3), 1033–1043. https://doi.org/https://doi.org/10.22460/jpmi.v6i3.17581
Yuliardi, R., & Rosjanuardi, R. (2021). Hypothetical learning trajectory in student’s spatial abilities to learn geometric transformation. JRAMathEdu (Journal of Research and Advances in Mathematics Education), 6(3), 174–190. https://doi.org/10.23917/jramathedu.v6i3.13338
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