Penalaran spasial siswa dalam menyelesaikan soal dimensi tiga: Perspektif tipe kepribadian
Full Article

Keywords

spatial reasoning
three dimensions
personality type

How to Cite

Asysyafa, S. R., & Irawan, W. H. (2026). Penalaran spasial siswa dalam menyelesaikan soal dimensi tiga: Perspektif tipe kepribadian. Jurnal Tadris Matematika, 9(1), 47–68. https://doi.org/10.21274/jtm.2026.9.1.47-68

Abstract

Spatial reasoning is an essential ability in learning geometry, particularly in three-dimensional geometry. This ability encompasses visualization, mental rotation, and spatial orientation, which are required to solve three-dimensional geometric problems. Students' spatial reasoning strategies may differ due to the influence of their personality types. Therefore, this study aims to describe the spatial reasoning of eleventh-grade students at MAN 3 Kediri in solving three-dimensional geometry problems based on their personality types. This study employed a qualitative approach with a phenomenological design. The participants were selected purposively based on Carl Gustav Jung's personality type questionnaire and consisted of three extroverted students and three introverted students. Data were collected through written tests and interviews, then analyzed using the Miles and Huberman model. Technique triangulation was employed to ensure the trustworthiness of the data. The findings revealed that extroverted students were more proficient in collaborating, engaging in discussions, and utilizing visual aids to understand geometric transformations. However, they tended to be less accurate in calculations and less systematic in organizing their solution procedures. In contrast, introverted students tended to be more persistent, conducted in-depth independent analyses, and demonstrated well-structured problem-solving strategies. Nevertheless, they experienced difficulties in visualizing three-dimensional objects without the support of concrete illustrations. These findings indicate that personality type influences how students engage in spatial reasoning. Therefore, teachers are expected to adapt their instructional strategies, such as implementing interactive visual discussions for extroverted students and providing independent practice based on visual representations for introverted students, so that both groups can optimize their spatial reasoning abilities in mathematics learning.

https://doi.org/10.21274/jtm.2026.9.1.47-68
Full Article

References

Amalia, A. K., & Amir, M. F. (2024). Spatial reasoning of students with mathematical learning difficulties. Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang, 8(2), 253–264. https://doi.org/10.31331/medivesveteran.v8i2.3160

Amin, M. M. N., Fuqoha, M. N. Z., & Hanif, M. (2025). Pendidikan kepribadian anak introvert dan extrovert pada lingkungan keluarga. Jurnal Media Akademik (JMA), 3(12), 1–10. https://jurnal.mediaakademik.com/index.php/jma/article/view/3797

Ana, S., & Munawir. (2024). Pengaruh tipe kepribadian extrovert dan introvert terhadap proses berpikir reflektif dalam memecahkan masalah matematika siswa. Journal of Mathematics Learning Innovation, 3(1), 60–70. https://doi.org/10.35905/jmlipare.v3i1.7445

Anggraini, S., & Abidin, M. (2025). Sudut pandang introvert dan ekstrovert dalam berinteraksi sosial. JHSP, 09(01), 105–117. https://doi.org/10.32487/jshp.v9i1.2156

Anisah, N., Rumatoras, R., & Maskhuliah, P. (2025). Memahami karakteristik psikologis peserta didik untuk meningkatkan proses pembelajaran. Journal Innovation in Education, 3(1), 128–137. https://doi.org/10.59841/inoved.v3i1.2142

Astuti, E. P., Handayani, R. S., Ngulia, K. N., Lestari, D., Saktiyani, D., & Pradana, S. L. (2025). Analysis of spatial reasoning ability in solving geometric transformation problems. Jurnal Math Educator Nusantara, 11(2), 279–291. https://doi.org/10.29407/jmen.v11i2.27277

Awaludin, A. A. R., Selvia, N., & Andrari, F. R. (2021). Mathematical representation of students in solving mathematic problems reviewed from extrovert-introvert personality. International Journal of Elementary Education., 5(2), 323–329. https://doi.org/10.23887/ijee.v5i2.33206

Borboeva, G. (2025). Evaluating the effectiveness of interactive learning technologies in enhancing spatial thinking among mathematics. Jurnal Ilmiah Ilmu Terapan Universitas Jambi, 9(3), 981–994. https://doi.org/10.22437/jiituj.v9i3.42557

Erfiani, N. M. D., Awololon, Y. O. L., & Hardika, I. R. (2024). The extrovert-introvert personality and their second language acquisition. Santhet: Jurnal Sejarah, Pendidikan Dan Humaniora, 8(2), 2504–2509. https://doi.org/10.36526/santhet.v8i2.4706

Fadillah, N. F., Baharuddin, U., & Amrullah, A. M. K. (2022). Kepribadian ekstrovert dan introvert dan hubungannya terhadap penguasaan keterampilan membaca siswa melalui online di SMPIT Al-Fityan School Gowa. Shaut Al-‘Arabiyah, 10(1), 1–7. https://doi.org/10.24252/saa.v10i1.25623

Furqan, M. H., Azmi, H., & Yulianti, F. (2021). Keterampilan berpikir spasial mahasiswa jurusan pendidikan geografi FKIP Universitas Syiah Kuala. Sosio-Didaktika: Social Science Education Journal, 8(2), 201–212. https://doi.org/10.15408/sd.v8i2.25436

Harris, D. (2023). Spatial reasoning in context: Bridging cognitive and educational perspectives of spatial-mathematics relations. Frontiers in Education, 8(1302099), 1–13. https://doi.org/10.3389/feduc.2023.1302099

Herawati, & Hariyani, M. (2024). Spatial thinking ability in elementary school. PIONIR: Jurnal Pendidikan, 13(1), 157–168. https://doi.org/10.22373/pjp.v13i1.23002

Hisyam, F. N., Sukoriyanto, & Sulandra, I. M. (2023). Penalaran spasial siswa SMP pada materi geometri bangun ruang berdasarkan tipe kepribadian ekstrovert dan introvert. Jurnal Cendekia: Jurnal Pendidikan Matematika, 7(3), 2990–3005. https://doi.org/10.31004/cendekia.v7i3.2500

Kyaw, K. M., & Vidákovich, T. (2025). The relationship between spatial reasoning and geometric reasoning in teachers. Eurasia Journal of Mathematics, Science and Technology Education, 21(8), 1–14. https://doi.org/10.29333/ejmste/16718

Leni, N., Musdi, E., Arnawa, I. M., & Yerizon. (2021). Profil kemampuan penalaran spasial siswa SMPN 1 Padangpanjang pada masalah geometri. JIPM (Jurnal Ilmiah Pendidikan Matematika), 10(1), 111–121. https://doi.org/10.25273/jipm.v10i1.10000

Lokollo, L. J., Lasaiba, M. A., Arfa, A. M., & Lasaiba, D. (2023). Mengembangkan kemampuan berpikir spasial melalui pendidikan STEM di Sekolah Dasar. Scholaria: Jurnal Pendidikan dan Kebudayaan, 14(3), 293–308. https://doi.org/10.24246/j.js.2024.v14.i3.p293-308

Masamah, U., & Farabi, M. Al. (2024). Students’ visual-spatial thinking ability in solving geometry transformation problems based on Jombangan. Proceeding International Conference on Islamic Education, 2016, 609–616. https://doi.org/10.18860/icied.v9i1.3194

Nasution, E. Y. P., Handican, R., & Yulia, P. (2025). A study of extrovert and introvert personality types on students’ mathematical problem-solving ability. Journal Evaluation in Education (JEE), 6(2), 339–352. https://doi.org/10.37251/jee.v6i2.1586

Nilamsari, D. M., & Fitriyani, H. (2021). Proses berpikir siswa dalam pemecahan masalah geometri ditinjau dari tipe kepribadian hippocrates-galenus. Edumatika: Jurnal Pendidikan Matematika, 11(2), 1–11. https://doi.org/10.22437/edumatica.v11i02.12120

Nuraini, F., Setiani, A., & Nurcahyono, N. A. (2024). Analisis kemampuan metakognisi siswa dalam pemecahan masalah matematika ditinjau dari tipe kepribadian ekstrovert dan introvert. Jurnal Cendekia: Jurnal Pendidikan Matematika, 8(1), 759–777. https://doi.org/10.31004/cendekia.v8i1.2678

Paradilla, N., & Hasanah, U. (2020). The students’ extrovert and introvert personality toward speaking performance. IJRETAL International Journal of Research on English Teaching and Applied Linguistics, 1(1), 39–50. https://doi.org/10.30863/ijretal.v1i1.1197

Rahman, A., & Ahmad, H. (2025). Meningkatkan kemampuan spasial menggunakan modul pembelajaran geometri berbantuan GeoGebra. Histogram: Jurnal Pendidikan Matematika, 9(1), 13–26. https://doi.org/10.31100/histogram.v9i1.3873

Rohendi, D., Ramadhan, M. O., Rahim, S. S. A., & Zulnaidi, H. (2025). Enhancing student’s interactivity and responses in learning geometry by using augmented reality. Eurasia Journal of Mathematics, Science and Technology Education, 21(1), 1–14. https://doi.org/10.29333/ejmste/15796

Rustanuarsi, R. (2025). Spatial ability and learning achievement in transformation geometry: A correlation study. Linear: Journal of Mathematics Education, 6(1), 40–50. https://doi.org/10.32332/c7qx3x93

Saputri, R. E., Ramadani, A. N., Fitriadi, C. A., & Waluyo, S. A. (2024). Pengaruh kepribadian siswa introvert terhadap keberhasilan belajar di SDN Cipondoh 04. Jurnal Pendidikan Guru Sekolah Dasar, 2(1), 1–10. https://doi.org/10.47134/pgsd.v2i1.908

Silda, A. F. Z. R., Sa’ida, N., & Budiman, A. (2023). Analisis tipe kepribadian introvert dan extrovert pada pembelajaran interaktif anak usia dini. KIDDO: Jurnal Pendidikan Islam Anak Usia Dini, 4(1), 26–40. https://doi.org/10.19105/kiddo.v4i1.8390

Sriyanti, A., Saputri, A., & Rahman, U. (2024). Analisis kemampuan berpikir kritis matematis ditinjau dari tipe kepribadian introvert peserta didik. Jurnal Cendekia: Jurnal Pendidikan Matematika, 8(3), 2319–2331. https://doi.org/10.31004/cendekia.v8i3.2973

Subtinanda, A., & Yuliana, N. (2023). Kepribadian ekstrovert dan introvert dalam konteks komunikasi antarpribadi mahasiswa ilmu komunikasi UNTIRTA. Jurnal Pendidikan Non formal, 1(2), 1–15. https://doi.org/10.47134/jpn.v1i2.187

Supli, A. A., & Xiaojing, Y. (2023). Exploring the effectiveness of augmented reality in enhancing spatial reasoning skills: A study on mental rotation, spatial orientation, and spatial visualization in primary school students. Education and Information Technologies, 29(1), 351–374. https://doi.org/10.1007/s10639-023-12255-w

Susanta, A., Sumardi, H., & Susanto, E. (2022). Students’ mathematical literacy ability in solving problems on pattern material using the Bengkulu local contexts. Jurnal Didaktik Matematika, 9(2), 343–357. https://doi.org/10.24815/jdm.v9i2.26741

Susanti, G. (2026). Personality-based relational reasoning: Analyzing extrovert and introvert students in solving mathematical problem. Multidisciplinary Science Journal, 8(1), 1–11. https://doi.org/10.31893/multiscience.2026034

Syahbudin, F., & Yulianti, K. (2026). Exploring students’ spatial ability in geometry transformations based on cognitive styles through the apos framework. Jurnal Pendidikan Progresif, 16(2), 1279–1298. https://doi.org/10.23960/jpp.v16i2.pp1279-1298

Usmanto, K. A. R., Muzdalipah, I., & Herawati, L. (2025). Analisis kecerdasan visual spasial ditinjau dari dominasi otak peserta didik. Imajiner: Jurnal Matematika dan Pendidikan Matematika, 7(5), 380–390. https://journal.upgris.ac.id/index.php/imajiner/article/view/23678

Wahyuni, A., & Lesmana, B. N. (2026). Analisis kecerdasan visual spasial peserta didik pada materi transformasi geometri ditinjau dari self-awareness. SCIENCE : Jurnal Inovasi Pendidikan Matematika dan IPA, 6(1), 135–146. https://doi.org/10.51878/science.v6i1.9370

Windari, R. N., & Handayani, R. (2026). Pengaruh penggunaan geogebra terhadap kemampuan berfikir spasial siswa pada materi translasi kelas IX SMPN 1 Kotabumi. Jurnal Cendekia: Jurnal Pendidikan Matematika, 10(01), 300–310. https://doi.org/10.31004/cendekia.v10i1.4818

Xu, T., Sun, S., & Kong, Q. (2025). Spatial reasoning and its contribution to mathematical performance across different content domains: Evidence from Chinese students. Journal ofIntelligence, 13(41), 1–23. https://doi.org/10.3390/jintelligence13040041

Zahari, C. L., Sahima, N., & Devi, C. C. (2026). Analysis of students’ visuospatial reasoning reviewed based on mathematics. OMEGA: Jurnal Keilmuan Pendidikan Matematika, 4(3), 321–328. https://doi.org/10.47662/jkpm.v4i3.1107

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Copyright (c) 2026 Jurnal Tadris Matematika

Downloads

Download data is not yet available.