MATHEMATICAL BELIEFS IN SOLVING STATISTICS PROBLEMS: A CASE STUDY OF INTROVERTED STUDENTS AT A STATE ISLAMIC SENIOR HIGH SCHOOL
DOI:
https://doi.org/10.31000/prima.v10i1.15243Kata Kunci:
mathematical belief, problem solving, statistics, personality, introvertAbstrak
This study aims to describe the mathematical beliefs of an introverted student in solving statistics problems. The research was conducted at a State Islamic Senior High School in Palu City using a qualitative descriptive approach. The subject was a male student with an introverted personality and high mathematical ability, identified through the Eysenck Personality Inventory (EPI) and categorized as high-ability based on Arikunto’s classification. Data were collected through a statistics problem solving test and semi-structured interviews, then analyzed using the Miles and Huberman model, which includes data condensation, data display, and conclusion drawing. The findings, analyzed through five aspects of mathematical belief, indicate that the introverted student demonstrated positive mathematical beliefs throughout the statistical problem-solving process. He was able to understand problems thoroughly, plan steps systematically, carry out solutions independently and carefully, and review his answers reflectively. These five aspects were reflected in his beliefs about the importance of understanding problem, following solution steps, facing difficult problems, interpreting word problems, and persevering in effort. He relied more on independent thinking than social interaction, preferred structured and logical approaches, and was diligent in verifying his answers.Referensi
Arikunto, S. (2013). Prosedur Penelitian. Rineka Cipta.
Asare, B., Dissou Arthur, Y., & Adu Obeng, B. (2025). Mathematics self-belief and mathematical creativity of university students: the role of problem-solving skills. Cogent Education, 12(1). https://doi.org/10.1080/2331186X.2025.2456438
Dianita, N. K. (2022). Mathematical Belief Profile of Seventh-Grade Students in Sleman Regency, Yogyakarta City. ISET: International Conference on Science, Education and Technology, 788–796. https://proceeding.unnes.ac.id/ISET/article/view/1838/1322
Eysenck. (2004). MEASUREMENT SCALES Eysenck’s Personality Inventory (EPI) (Extroversion/Introversion). Heinemann Educational Publishers.
Hidayanto, E., & Ibad, A. H. (2023). The Profile of Mathematical Belief of Class X Students in Solving Mathematical Problems on the Material of Linear Equations and Inequalities in One Variable with Absolute Value. AIP Conference Proceedings, 2569. https://doi.org/10.1063/5.0112339
Hidayatullah, A., & CsÃkos, C. (2022). Mathematics Related Belief System and Word Problem-Solving in the Indonesian Context. Eurasia Journal of Mathematics, Science and Technology Education, 18(4). https://doi.org/10.29333/ejmste/11902
Jach, H. K., Bardach, L., & Murayama, K. (2023). How Personality Matters for Education Research. In Educational Psychology Review (Vol. 35, Issue 3). Springer. https://doi.org/10.1007/s10648-023-09807-4
Khairunnissa, M., Pathuddin, Alfisyahra, & Lefrida, R. (2024). Profil Pemecahan Masalah Statistika Siswa SMA Ditinjau dari Kemampuan Matematika Tinggi. JIPMat (Jurnal Ilmiah Pendidikan Matematika), 9(2), 180–189. https://doi.org/10.26877/jipmat.v9i2.969
Kloosterman, P., & Stage, F. K. (1992). Measuring Beliefs About Mathematical Problem Solving. School Science and Mathematics, 92(3), 109–115. https://doi.org/10.1111/j.1949-8594.1992.tb12154.x
Komara, Lestari, P., & Supratman. (2024). Analysis of Mathematical Beliefs of Madrasah Tsanawiyah Students After Using the Geometry Transformation Digibook. Mathematics Education Journal, 8(2), 185–193. https://doi.org/10.22219/mej.v8i2.32611
Kusuma, R. A., Rahmawati, F., Murtianto, Y. H., & Baldemor, M. (2024). Mathematical Problem-Solving Process Reviewed from Emotional Intelligence through Metacognition: A Literature Review. Jurnal Pendidikan MIPA, 25(1), 399–418. https://doi.org/10.23960/jpmipa/v25i1.pp399-418
Leder, G. C., Pehkonen, E., Torner, G., Op’t Eynde, P., De Corte, E., & Verschaffel, L. (2002). Beliefs: A Hidden Variable In Mathematics Education? (A. J. Bishop, J. P. Becker, G. Leder, A. Sfard, O. Skovsmose, & S. Turnau, Eds.; Vol. 31). Netherlands: Kluwer Academic Publishers.
Li, J., Fong, D. Y. T., Ho, M. M., Choi, E. P. H., Lok, K. Y. W., Lee, J. J., Duan, W. J., Wong, J. Y. H., & Lin, C. C. (2025). Role of introvert and extrovert personalities in perception of COVID-19’s impact, psychological state, knowledge, infection, and preparedness preferences. BMC Public Health, 25(1). https://doi.org/10.1186/s12889-025-22293-3
Miles, M. B., Huberman, A. M., & Saldana, J. (2014). Qualitative Data Analysis A Methods Sourcebook (H. Salmon, K. Perry, K. Koscielak, & L. Barret, Eds.; 3rd ed.). SAGE Publications.
Muhtarom, Sutrisno, Nizaruddin, & Murtianto, Y. H. (2024). Research on mathematical beliefs: systematic literature review. International Journal of Evaluation and Research in Education , 13(2), 693–704. https://doi.org/10.11591/ijere.v13i2.25968
Mukarromah, S., Rahmawati, N. D., Ariyanto, L., & Ashari, S. R. Al. (2024). Kemampuan Pemecahan Masalah Matematis Ditinjau dari Belief in Mathematics Siswa dalam Menyelesaikan Soal Turunan Fungsi. Jurnal Pendidikan Dan Pembelajaran Indonesia (JPPI), 4(2), 733–745. https://doi.org/10.53299/jppi.v4i2.539
Nur’ain, N., Lefrida, R., Pathuddin, P., & Alfisyahra, A. (2024). Analyzing Students’ Commognitive Processes in Solving Pythagorean Theorem Problems: A Gender-Based. Jurnal Pendidikan MIPA, 25(4), 1839–1853. https://doi.org/10.23960/jpmipa/v25i4.pp1839-1853
Polya, G. (1973). How to Solve It A New Aspect of Mathematical Method.
Puspita Hermin, A., Lefrida, R., & Alfisyahra, &. (2025). Exploring Students’ Metacognition in Numeracy Problem Solving: The Role of Reflective and Impulsive Cognitive Styles. Jurnal Pendidikan MIPA, 26(1), 688–707. https://doi.org/10.23960/jpmipa/v26i1.pp688-707
Putri, R., Vrasetya, A., Nasution, E. Y. P., & Casanova, A. (2025). Analysis of Students’ Mathematical Connections Ability on HOTS Questions Based on Jambi Culture in View of Personality Types. Jurnal Pendidikan MIPA, 26(3), 1406–1427. https://doi.org/10.23960/jpmipa.v26i3.pp1406-1427
Qadry, I. K., Arriah, F., & Abdillah, W. (2024). Deskripsi Kemampuan Pemecahan Masalah Matematika Ditinjau Dari Tipe Kepribadian Extrovert Dan Introvert Pada Siswa Kelas VII MTS Muhammadiyah Songing Kabupaten Sinjai. JRIP: Jurnal Riset Dan Inovasi Pembelajaran, 3(3), 197–204.
Raudhatunnur, R., & Dewanti, S. S. (2025). Students’ Self-Confidence and Mathematical Creativity through Visual Media-Assisted Problem-Based Learning: A Descriptive Study. Jurnal Pendidikan MIPA, 26(3), 1838–1851. https://doi.org/10.23960/jpmipa.v26i3.pp1838-1851
Rudianti, R., Aripin, & Muhtadi, D. (2021). Proses Berpikir Kritis Matematis Siswa Ditinjau Dari Tipe Kepribadian Ekstrovert dan Introvert. Mosharafa Jurnal Pendidikan Matematika, 10(3). https://doi.org/https://doi.org/10.31980/mosharafa.v10i3.675
Selpiana, & Munawir. (2024). Pengaruh Tipe Kepribadian Extrovert dan Introvert terhadap Proses Berpikir Reflektif dalam Memecahkan Masalah Matematika Siswa. JOURNAL OF Mathematics Learning Innovation (JMLI), 3(1), 60–70. https://doi.org/10.35905/jmlipare.v3i1
Sugiyono. (2013). Metode Penelitian Kuantitatif Kualitatif dan R&D. Alfabeta.
Wang, H. H., Hong, Z. R., She, H. C., Smith, T. J., Fielding, J., & Lin, H. shyang. (2022). The Role of Structured Inquiry, Open Inquiry, and Epistemological Beliefs in Developing Secondary Students’ Scientific and Mathematical Literacies. International Journal of STEM Education, 9(1). https://doi.org/10.1186/s40594-022-00329-z
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