Mathematical Representation Ability in HOTS Problems : A Study of Students’ Learning Style

Authors

  • Ultami Ismayani Febryana Universitas Muhammadiyah Prof. Dr. HAMKA, Indonesia
  • Trisna Roy Pradipta Universitas Muhammadiyah Prof. Dr. HAMKA, Indonesia

DOI:

https://doi.org/10.33394/jp.v12i3.16168

Keywords:

Mathematical Representation, HOTS Problems, Learning Style.

Abstract

This study aims to analyze students' ability to represent mathematical concepts when solving High Order Thinking Skills (HOTS) questions, reviewed based on visual, auditory, and kinesthetic learning styles. This study used a qualitative approach with a case study method with the subjects of nine students from SMAN 88 Jakarta who were selected by purposive sampling. The research instruments included learning style questionnaires, mathematical representation ability tests, and interviews. The data analysis technique in this study uses the stages of reduction, presentation, and drawing conclusions based on the Miles and Huberman model. The results of the study showed that all students, regardless of their learning style, mastered the visual aspect more. Learners with visual and auditory learning styles generally excel in visual aspects but weak in verbal and symbolic aspects, while learners with kinesthetic learning styles show varied abilities, with visual aspects remaining the most dominant. The findings of this study can provide insights for education practitioners to optimize mathematics learning based on students' learning styles, while contributing theoretically to the development of academic theory and literature in the field of mathematics learning and mathematical representation.

References

Abdurrahman, S., & Kibtiyah, A. (2021). Strategi Mengatasi Masalah Kesulitan Belajar Siswa Dengan Memahami Gaya Belajar Siswa (Studi Kasus Di Ma Al-Ahsan Bareng). Jurnal Pendidikan Tambusai, 5(3), 6444–6454. https://doi.org/10.31004/jptam.v5i3.1964

Amalia, A., Happy, N., & Purwosetiyono, F. D. (2021). Profile of Students’ Representational Ability in Solving Mathematical Problems in terms of Learning Style. Phenomenon : Jurnal Pendidikan MIPA, 11(1), 15–28. https://doi.org/10.21580/phen.2021.11.1.6521

Antika, F., Hadi, S., Agama, I., & Negeri, I. (2024). Efektivitas Model Pembelajaran Make a Match Berbantu Puzzle Matematika untuk Meningkatkan Kemampuan Representasi Matematis. Indonesian Mathematics Education Journal, 01(02), 211-226. https://doi.org/10.21154/imej.v1i2.25

Baiduri, Y. M. C., & Suliani, M. (2020). The Mathematical Representation Process of Elementary School Students in Solving Quadratic Functions Based on Mathematics Abilities. Journal of Talent Development and Excellence, 12(1), 5045 - 5057.

Damayanti, N., Murni, A., & Riau, U. (2024). Analisis Disposisi Matematis Siswa Sma Nurul Falah Pekanbaru Ditinjau Dari Gaya Belajar. Jurnal Santiaji Pendidikan (JSP), 14(1), 91-100. https://doi.org/10.36733/jsp.v14i1.8752

Escarez Jr., Y. F. D., & Ching, D. A. (2022). Math Anxiety and Mathematical Representations of Grade 7 Students. International Journal of Educational Management and Development Studies, 3(1), 166-181.

Fitrianingrum, F., & Basir, M. A. (2020). Analisis Kemampuan Representasi Matematis Siswa dalam Menyelesaikan Soal Aljabar. Vygotsky, 2(1), 1-11. https://doi.org/10.30736/vj.v2i1.177

Fraenkel, J. R., Wallen, N. E., & Hyun, H. H. (2011). How to Design and Evaluate Research in Education. In Sustainability (Switzerland) (Vol. 11, Issue 1).

Gusteti, M. U., & Neviyarni, N. (2022). Pembelajaran Berdiferensiasi Pada Pembelajaran Matematika Di Kurikulum Merdeka. Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika Dan Statistika, 3(3), 636–646. https://doi.org/10.46306/lb.v3i3.180

Ha, N. T. T. (2022). Effects of Learning Style on Students Achievement: Experimental Research. Mathematical Engineering, 5, 43–84. https://doi.org/10.21744/lingcure.v5nS3.1515

Hardianti, S. R., Nia, K., & Effendi, S. (2021). Analisis Kemampuan Representasi Matematis Siswa SMA Kelas XI. Jurnal Pembelajaran Matematika Inovatif, 4(5), 1093–1104. https://doi.org/10.22460/jpmi.v4i5.p1093-1104

Hayun, M., & Syawaly, A. M. (2020). Pengaruh Penerapan Model Pembelajaran Problem Based Learning Terhadap Kemampuan Representasi Matematis Siswa Sekolah Dasar. Instruksional, 2(1), 10–16. https://doi.org/10.24853/instruksional.2.1.10-16

Irfan, M. M., Safaria, S. A., & Sangila, M. S. (2022). Analisis Kesulitan Belajar Matematika Siswa Konsep Teorema Pythagoras Ditinjau dari Gaya Belajar. Jurnal Ilmiah Pendidikan Matematika Al Qalasadi, 6(2), 122–134. 10.32505/qalasadi.v6i2.4824

Khoerunnisa, R., & Maryati, I. (2022). Kemampuan Representasi Matematis Siswa SMP terhadap Materi Segiempat. Plusminus: Jurnal Pendidikan Matematika, 2(1), 165–176. https://doi.org/10.31980/plusminus.v2i1.1094

Komala, E., & Afrida, A. M. (2020). Analisis Kemampuan Representasi Matematis Siswa SMK Ditinjau dari Gaya Belajar. Journal of Instructional Mathematics, 1(2), 53–59. https://doi.org/10.37640/jim.v1i2.364

Konilah, K., Sunarsih, D., & Purnomo, A. (2022). Analisis Gaya Belajar Peserta Didik pada Pembelajaran Matematika Kelas V MI. Jurnal Ilmiah KONTEKSTUAL, 3(02), 141–149. https://doi.org/10.46772/kontekstual.v3i02.664

Kusuma, N., Mujib, A., & Syaputra, E. (2020). Pengembangan Perangkat Pembelajaran Kooperatif Tipe Think Talk Write Untuk Meningkatkan Kemampuan Representasi Matematis Siswa. EDUMASPUL: Jurnal Pendidikan, 4(2), 39–45. https://doi.org/10.33487/edumaspul.v4i2.630

Marliani, S., & Puspitasari, N. (2022). Kemampuan Representasi Matematis Siswa pada Materi Kesebangunan dan Kekongruenan di Kampung Sukawening. Jurnal Inovasi Pembelajaran Matematika: PowerMathEdu, 1(2), 113–124. https://doi.org/10.31980/pme.v1i2.1381

Maryati, I. (2021). Kemampuan Representasi Matematis Siswa Melalui Model Problem Based Learning dan Probing Prompting Learning. Plusminus: Jurnal Pendidikan Matematika, 1(2), 303–314. https://doi.org/10.31980/plusminus.v1i2.903

Miles, M. B., Huberman, A. M., & Saldana, J. (2014). Qualitative Data Analysis.

Murtianto, Y. H., & Suhendar, A. (2019). Analisis Kemampuan Representasi Verbal Siswa dalam Pemecahan Masalah Matematika Berdasarkan Tahapan Krulik And Rudnick Ditinjau dari Motivasi Belajar Siswa. Jurnal Ilmiah Pendidikan Matematika, 4(1), 77–84. 10.26877/jipmat.v4i1.3630

Nabela, D., Kasiyun, S., Rahayu, D. W., & Akhwani, A. (2021). Analisis Gaya Belajar Peserta Didik Berprestasi selama Pandemi Covid-19 dalam Pembelajaran Tematik di Sekolah Dasar. Jurnal Basicedu, 5(4), 2653–2663. https://doi.org/10.31004/basicedu.v5i4.1301

Nay, S. I. U., Surahmat, & Syaifudin. (2022). Analisis Kemampuan Representasi Matematis Peserta Didik dalam Menyelesaikan Soal High Order Thinking Skill Ditinjau dari Gaya Belajar dan Karakteristik Cara Berfikir. Jurnal Penelitin, Pendidikan, Dan Pembelajaran, 17(21), 1–20.

Nurbayan, A. A., & Basuki, B. (2022). Kemampuan representasi matematis siswa ditinjau dari self-efficacy pada materi aritmatika sosial. Jurnal Inovasi Pembelajaran Matematika: PowerMathEdu, 1(1), 93–102. https://doi.org/10.31980/pme.v1i1.1369

Nurfitriyanti, M., Rita Kusumawardani, R., & Lestari, I. (2020). Kemampuan Representasi Matematis Peserta Didik Ditinjau Penalaran Matematis pada Pembelajaran Berbasis Masalah. Jurnal Gantang, 5(1), 19–28. https://doi.org/10.31629/jg.v5i1.1665

Nursaodah, N., Mastur, Z., & Suyitno, A. (2024). Analisis Kemampuan Representasi Matematis Siswa Ditinjau dari Gaya Belajar Melalui Model Pembelajaran CORE. Tirtamath: Jurnal Penelitian Dan Pengajaran Matematika, 6(1), 15–27. http://dx.doi.org/10.48181/tirtamath.v6i1.24508

Pasehah, A. M., & Firmansyah, D. (2020). Analisis Kemampuan Representasi Matematis Siswa. Prosiding Sesiomadika, 2(1d), 1094–1108.

Putri, R. A., Magdalena, I., Fauziah, A., & Azizah, F. N. (2021). Pengaruh Gaya Belajar terhadap Pembelajaran Siswa Sekolah Dasar. Cerdika: Jurnal Ilmiah Indonesia, 1(2), 157–163.

Rahmawati, J. V. (2021). Upaya Meningkatkan Kemampuan Representasi Matematis Siswa dengan Metode Pembelajaran Guided Note Taking Berbantuan Geogebra. Jurnal Riset Pendidikan Matematika Jakarta, 3(1), 27–35. https://doi.org/10.21009/jrpmj.v3i1.11437

Ramadhan, M. F., Siroj, R. A., & Afgani, M. W. (2024). Validitas and Reliabilitas. Journal on Education, 06(02), 10967–10975. https://doi.org/10.31004/joe.v6i2.4885

Sari, E. R. (2024). Materi Bentuk Aljabar Kelas VII SMP Negeri 1 Sei Bingai. 7, 6058–6065.

Sari, M. C. P., Mahmudi, M., Kristinawati, K., & Mampouw, H. L. (2023). Peningkatan Kemampuan Representasi Matematis melalui Model Problem Based Learning. PTK: Jurnal Tindakan Kelas, 4(1), 1–17. https://doi.org/10.53624/ptk.v4i1.242

Septian, A., Setiawan, E., & Noersapitri, Y.(2023). Peningkatan Kemampuan Representasi Matematis Siswa Menggunakan GeoGebra. Jurnal Padegogik, 6(1), 1–9. https://doi.org/10.35974/jpd.v6i1.2905

Setyawati, R. D., Tasya, R. A., & Prasetyowati, D. (2022). Analisis Kemampuan Representasi Matematis Siswa dalam Pemecahan Masalah Matematika Kontekstual Ditinjau dari Gaya Belajar. Jurnal Ilmiah Pendidikan Matematika (JIPMat), 7(1), 108–116. https://doi.org/10.26877/jipmat.v7i1.11866

Sunanti, T., Sagita, L., & Anggraini, G. (2022). Representasi Matematis Siswa Sekolah Dasar. Jurnal THEOREMS (The Original Research of Mathematics), 6(2), 116-128. 10.31949/th.v6i2.3584

Susilawati, S., Pujiastuti, H., & Sukirwan, S. (2020). Analisis Kemampuan Berpikir Kreatif Matematis Ditinjau dari Self-Concept Matematis Siswa. Jurnal Cendekia : Jurnal Pendidikan Matematika, 4(2), 512–525. 10.31004/cendekia.v4i2.244

Syakira, R. I., & Surya, E. (2024). Studi Literatur: Keterkaitan Kemampuan Representasi Matematis terhadap Model Pembelajaran Problem Based Learning (PBL). 1–8.

Ulya, H., & Rahayu, R. (2020). Kemampuan Representasi Matematis Field Intermediate Dalam Menyelesaikan Soal Etnomatematika. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(2), 451–466. https://doi.org/10.24127/ajpm.v9i2.2695

Umaroh, U., & Pujiastuti, H. (2020). Analisis Kemampuan Representasi Matematis Siswa dalam Mengerjakan Soal PISA Ditinjau dari Perbedaan Gender. Jurnal Pendidikan Matematika Raflesia, 5(2), 40–53. https://doi.org/10.33369/jpmr.v5i2.11408

Wahidah, N., & Hakim, D. L. (2022). Analisis Kemampuan Representasi Matematis Siswa Materi Barisan Dan Deret Aritmatika Kelas XII SMA. Didactical Mathematics, 4(1), 74–83. https://doi.org/10.31949/dm.v4i1.2038

Wulandari, D. S., & Rusmana, I. M. (2020). Pengaruh Gaya Belajar dan Kecerdasan Logika Matematika terhadap Prestasi Belajar Matematika. Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika Dan Statistika, 1(2), 76–81. https://doi.org/10.46306/lb.v1i2.18

Yuwono, T., Darmawan, A., & Suwanti, V. (2021). Analisis Kemampuan Representasi Matematis Peserta Didik dalam Menyelesaikan Masalah pada Materi Program Linier. JNPM (Jurnal Nasional Pendidikan Matematika), 5(2), 247-263. https://doi.org/10.33603/jnpm.v5i2.3713

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Published

2025-07-25

How to Cite

Febryana, U. I., & Pradipta, T. R. (2025). Mathematical Representation Ability in HOTS Problems : A Study of Students’ Learning Style. Jurnal Paedagogy, 12(3), 797–807. https://doi.org/10.33394/jp.v12i3.16168

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Vol. 12 No. 3 (2025): July

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