Development of “galton sriwijaya board” teaching aid to support students’ conceptual understanding of normal distribution
DOI:
https://doi.org/10.32332/linear.v7i2.114-132Keywords:
Conceptual Understanding, Galton Sriwijaya Board, Normal Distribution, Teaching AidAbstract
This study aims to develop the “Galton Sriwijaya Board” teaching aid to support students’ conceptual understanding of the normal distribution. The background of this research is the difficulty students experience in understanding abstract statistical concepts, particularly the normal distribution and the central limit theorem, when learning is limited to theoretical explanations. This study employed a design research approach based on Tessmer’s formative evaluation model, comprising preliminary, self-evaluation, expert review, one-to-one, and small-group stages. The participants were first-semester students of Mathematics Education selected through purposive sampling. Data were collected through students’ LKPD responses to analyze conceptual understanding, observations, and interviews to identify students’ learning processes and difficulties, and practicality questionnaires to evaluate the usability of the developed teaching aid. Students’ conceptual understanding was analyzed descriptively using two indicators: interpreting experimental results and generalizing the characteristics of a normal distribution. The results show that the developed teaching aid was validated by two lecturers in the Mathematics Education Study Program who teach Mathematical Statistics, and was categorized as practical based on student responses. In addition, students were able to interpret the results of the Galton Sriwijaya Board experiment and identify the formation of a bell-shaped distribution pattern from repeated random trials. The findings indicate that the “Galton Sriwijaya Board” is valid and practical and provides opportunities for students to construct their understanding of normal distribution through hands-on learning activities. The study suggests that the teaching aid has the potential to be implemented in broader learning contexts and further developed into digital-based learning media.
References
Bakker, A. (2018). Design Research in Education. In IEE Colloquium (Digest) (1st Editio). https://doi.org/10.1049/ic:19990398
Cahyaningsih, D., Khairunnisa, A., Safitri, A. I., Kholifah, N., Jumrotin, R., Rani, R. N., & Sukma, Y. (2024). Developing LEGAMAT on Geometric Distribution: A Teaching Tools for Understanding Mathematics Concept. Jurnal Pendidikan Matematika (Kudus), 7(1), 133. http://dx.doi.org/10.21043/jpmk.v7i1.26085
Easterday, M. W., Lewis, D. G. R., & Gerber, E. M. (2018). The Logic of Design Research. Learning: Research and Practice, 4(2), 131–160. https://doi.org/10.1080/23735082.2017.1286367
Gacula, A. Q. (2025). Reciprocal Group (RG) sheets: Its effect to students’ skills in solving worded problems involving normal distribution. International Journal of Research, 14(15), 121–130. https://doi.org/10.5861/ijrse.2025.25260
Juarros Basterretxea, J., Aonso Diego, G., Postigo Gutiérrez, Á., Montes Álvarez, P., Menéndez Aller, Á., & García Cueto, E. (2024). Post-hoc tests in one-way ANOVA: The case for normal distribution. Methodology, 20(2), 84–99. https://doi.org/10.5964/meth.11721
Kuling, O., Lintang, A., & Nugraha, A. S. (2025). Development of Teaching Materials on Surface Area of Polyhedron Using Traditional Market Snacks Context and MathCityMap. JMPM: Jurnal Matematika Dan Pendidikan Matematika, 10(2), 113–126. https://doi.org/10.26594/jmpm.v10i2.5615
Mahmood, R. S., Mizban, R. J., Sarhan, M. A., Rashid, A., Rasheed, M., & Saidani, T. (2024). Analysis Of Correlated Random Variables Using Bivariate Normal Distribution: Numerical Examples And Applications. Journal of Positive Sciences (JPS), 4(1), 1–9. https://doi.org/10.52688/ASP39921
Martiasari, A., & Kelana, J. B. (2022). Peningkatan pemahaman konsep Matematika menggunakan model pembelajaran problem based learning berbantuan media manipulatif untuk siswa sekolah dasar. Jurnal Profesi Pendidikan, 1(1), 1–10. https://doi.org/10.22460/jpp.v1i1.10356
McKenney, S., & Reeves, T. C. (2020). Educational Design Research: Portraying, Conducting, and Enhancing Productive Scholarship. Medical Education, 55(1), 82–92. https://doi.org/10.1111/medu.14280
Mertasari, N. M. S., & Candiasa, I. M. (2022). Formative Evaluation of Digital Learning Materials. Journal of Education Technology, 6(3), 507–514. https://doi.org/10.23887/jet.v6i3.44165
Nursucita, L., Sari, N. K., Asmadita, R. A. N., & Dewi, M. (2026). Analisis Kemampuan Pemahaman Konsep Matematika Pada Materi Distribusi Marginal Terhadap Mahasiswa Pendidikan Matematika. Menulis: Jurnal Penelitian Nusantara, 2(1), 660–667. https://doi.org/10.59435/menulis.v2i1.865
Pinahayu, E. A. R., Adnyani, L. P. W., Mariko, S., & Auliya, R. N. (2022). Analisis Kesalahan Mahasiswa dalam Menyelesaikan Permasalahan Distribusi Normal. Jurnal Pendidikan Dan Konseling, 4(3), 2428–2436. https://doi.org/10.31004/jpdk.v4i3.5099
Puspito, T. A. (2026). Performance and Security Evaluation of Selected Indonesian Mosque Websites. Journal of Embedded System Security and Intelligent Systems, 7(3), 240–257. https://doi.org/10.59562/jessi.v7i3.14599
Puspito, T. A., Ali, Z. Z., Kadhim, A. A., Smadi, E. L. H. Al, & Ghunemat, H. (2026). Evaluating Digital Zakat Platforms: Usability, Technical Performance, and Maṣlaḥah in Indonesia and Malaysia. Nusantara: Journal of Law Studies, 5(1), 631–670. https://doi.org/10.66325/nusantaralaw.v5i1.261
Putri, N. A., Lestari, A., Panjaitan, A. J. B., & Dewi, M. (2026). Analisis Pemahaman Mahasiswa Matematika Terhadap Materi Distribusi Satu Peubah Acak. Menulis: Jurnal Penelitian Nusantara, 2(1), 673–679. https://doi.org/10.59435/menulis.v2i1.958
Ritonga, A., Saragih, E. L., Purba, G. A., Pandiangan, P. P. S., Damanik, R. N., & Al Azmi, F. (2025). Penerapan Distribusi Normal Dalam Pengukuran Tinggi Badan Mahasiswa FMIPA Universitas Negeri Medan 2024. Bilangan: Jurnal Ilmiah Matematika, Kebumian Dan Angkasa, 3(2), 39–53. https://doi.org/10.62383/bilangan.v3i2.465
Rizki, I. D. N., Salsabila, N., Radhani, N. S., Sukasna, P. N. E., Fanisha, S. N., Putri, R. I. indra, Sari, N., Sukma, Y., & Utari, R. S. (2026). Pengembangan LKPD Berbasis Alat Peraga Bernoulli Box untuk Mengenalkan Konsep Distribusi Bernoulli. E D U P E D I K A : Jurnal Studi Pendidikan Dan Pembelajaran, 5(1), 126–148. https://doi.org/10.60004/edupedika.v5i1.473
Saputri, A. N., Suryadi, D., & Nurjanah, N. (2024). Systematic Literature Review Hambatan Belajar Siswa Dalam Materi Statistika Tingkat Smp. PHI: Jurnal Pendidikan Matematika, 8(2), 369. https://doi.org/10.33087/phi.v8i2.399
Setiawan, E. P., Sukoco, H., & Agustyani, A. R. D. (2023). Developing statistical literacy through tasks: An analysis of secondary school mathematics textbooks. Jurnal Pendidikan Matematika, 17(2), 247–264. https://doi.org/10.22342/jpm.17.2.2023.247-264
Sugiyono. (2023). Metode Penelitian Kuantitatif, Kualitatif, dan R&D. In Metode Penelitian Kuantitatif, Kualitatif, dan R&D. Alfabeta.
Syarifuddin, S. (2025). Peer Teaching-Based Learning Assisted By Manipulative Media In Improving Students’understanding And Skills In Advanced Mathematics Courses. Matematika dan Pembelajaran, 13(1), 180–204. https://doi.org/10.33477/mp.v13i1.9203
Tessmer, Martin. (1993). Planning and conducting formative evaluations : improving the quality of education and training. Routledge.
Verlage, E., Gabbianelli, C., Studer, K., Dhakal, A., Zhao, Z., Thompson, M., & Liu, J. (2025). Game-Based Learning in a Manufacturing Setting to Teach Statistical Process Control. 2025 ASEE Annual Conference & Exposition. https://doi.org/10.18260/1-2--56633
Videla-Jiménez, P., Ruz, F., & López-Martín, M. del M. (2025). Research on box plot knowledge in statistical education: a systematic review of the literature. European Journal of Psychology of Education, 40(4), 141. https://doi.org/10.1007/s10212-025-01048-z
Wijayanti, P. S., & Juandi, D. (2024). Student Statistical Literacy as An Initial Study for Sekolah Siaga Kependudukan in Indonesia: A Systematic Literature Review. Jurnal Paedagogy, 11(2), 353–363. https://doi.org/10.33394/jp.v11i2.9217
Wulantina, E., Guritno, A. Y., & Putri, L. M. (2024). Ethnomathematics In Lampung : Exploration of Lampung traditional cakes as mathematics learning resources. PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE OF MATHEMATICS AND MATHEMATICS EDUCATION, 2022: Innovative Research of Mathematics and Mathematics Education to Face the 4th Industrial Revolution Challenges. https://doi.org/10.1063/5.0204447
Wulantina, E., Ikashaum, F., & Yunarti, Y. (2025). Study of cognitive competence of prospective mathematics teachers on ethnomathematics. THE INTERNATIONAL CONFERENCE OF INTERDISCIPLINARY RESEARCH AND STUDIES IN MATHEMATICS: InCiReSMa2024, 3316(1). https://doi.org/10.1063/5.0289993
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