The Effect of Digital Didactic Intervention on Measures of Central Tendency Towards Students’ Statistical Thinking

Authors

  • Eliva Sukma Cipta Universitas Islam Nusantara, Bandung, Indonesia
  • Didi Suryadi Universitas Pendidikan Indonesia, Bandung, Indonesia
  • Tatang Herman Universitas Pendidikan Indonesia, Bandung, Indonesia
  • Al Jupri Universitas Pendidikan Indonesia, Bandung, Indonesia

DOI:

https://doi.org/10.22460/jiml.v9i1.29891

Keywords:

Statistical Thinking , Didactical Design , TDS , Measures of Central Tendency , E-Module

Abstract

Statistical thinking is an essential competency for prospective mathematics teachers in responding to data-driven decision making within the context of Society 5.0. However, learning obstacles frequently emerge in higher education statistics courses due to instructional practices that emphasize procedural computation rather than conceptual and contextual understanding. This study aims to describe the implementation of a didactical design to reduce students’ learning obstacles in statistical thinking through the topic of measures of central tendency. A qualitative descriptive method was employed involving 38 mathematics education students enrolled in an introductory statistics course. The didactical design integrated the Theory of Didactical Situations (TDS) and the DORA model (Describe, Organize, Represent, Analyze–Interpret) and was delivered through an interactive e-module developed on the AnyFlip platform. Data were collected using a post-implementation statistical thinking test based on DORA, classroom observations, semi-structured interviews, and reflective field notes. Learning activities were organized into four TDS stages action, formulation, validation, and institutionalization to support reflective and adidactical learning processes. The results indicate that students were able to construct statistical concepts more meaningfully and reduce previously identified learning obstacles, particularly in linking numerical results with graphical representations. In conclusion, the integration of TDS and the DORA model supported by interactive e-modules effectively enhances students’ statistical thinking skills, as evidenced by the reduction of learning obstacles among prospective mathematics teachers.

References

Arifin, S., & Aprisal, A. (2020). Analisis Tingkat Pemahaman Konsep Statistika Mahasiswa Calon Guru Menggunakan Two Tier Test Berbasis Online. Delta: Jurnal Ilmiah Pendidikan Matematika, 8(2), 201–208. https://doi.org/10.31941/delta.v8i2.1059

Balkaya, T., & Kurt, G. (2023). Middle School Students ’ Statistical Reasoning About Distribution In Their Statistical Modeling Processes. Statistics Education Research Journal, 22(1), 1–20. https://doi.org/https://doi.org/10.52041/serj.v22i1.312

Brousseau, G. (2002). Theory Of Didactical Situations In Mathematics Didactique Des Mathématiques, 1970–1990. Kluwer Academic Publishers.

Burrill, G., & Pfannkuch, M. (2024). Emerging Trends in Statistics Education. ZDM: Mathematics Education, 56(1), 19–29. https://doi.org/DOI: 10.1007/s11858-023-01501-7

Chance, B. L. (2000). Components of Statistical Thinking and Implications for Instruction and Assessment. Annual Meeting of the American Educational Research Association, 7.

Chevallard, Y., & Bosch, M. (2020). Anthropological theory of the didactic (ATD). In Encyclopedia of mathematics education (pp. 53–61).

Cipta, E. S., Husaeni, A. S., Anwar, F., & Cahyati, C. (2023). Analisis Pengaruh Media Digital terhadap Perkembangan Karakter Siswa Sekolah Dasar. Ainara Journal, 4(3), 109–115. https://doi.org/https://doi.org/10.54371/ainj.v4i3.271

Cipta, E. S., Suryadi, D., Herman, T., & Jupri, A. (2024). The utilization of technology for optimizing statistical thinking: Global trends and directions for future research. AIP Conference Proceedings, 3220(1). https://doi.org/https://doi.org/10.1063/5.0235077

Cipta, E. S., Suryadi, D., Herman, T., Jupri, A., Konidah, E., Chusaery, H. A. L., Haryadi, H., & Sarinah, S. (2024). Enhancing Students’ Understanding of the Mean Concept Through Problem-Based Learning Assisted By Geogebra: a Quasi-Experimental Study. Journal of Engineering Science and Technology, 19(5), 18–26. https://jestec.taylors.edu.my/Special Issue ISCoE 2023_3/ISCoE 2023 3_03.pdf

Garfield, J., & Ben-Zvi, D. (2009). Helping students develop statistical reasoning: Implementing a statistical reasoning learning environment. Teaching Statistics, 31(3), 72–77. https://doi.org/10.1111/j.1467-9639.2009.00363.x

Garfield, J., Ben-Zvi, D., Chance, B., Medina, E., Roseth, C., & Zieffler, A. (2008). Developing students’ statistical reasoning: Connecting research and teaching practice. Developing Students’ Statistical Reasoning: Connecting Research and Teaching Practice, April 2016, 1–408. https://doi.org/10.1007/978-1-4020-8383-9

Gravemeijer, K. P. E. (1994). Developing Realistic Mathematics Education.

Jones, G. A., Mooney, E. S., Langrall, C. W., & Thornton, C. A. (2002). Students’ Individual and Collective Statistical Thinking. Proceedings of the Sixth International Conference on Teaching Statistics, 1987, 1–6. https://doi.org/http://www.stat.auckland.ac.nz/~iase/publications/1/6a2_jone.pdf

Kemdikbud. (2020a). Buku Panduan Merdeka Belajar Kampus Merdeka. https://dikti.kemdikbud.go.id/wp-content/uploads/2020/05/Buku-Panduan-Merdeka-Belajar-Kampus-Merdeka-2020-1.pdf

Kemdikbud. (2020b). Panduan Penyusunan Kurikulum Pendidikan Tinggi di Era Industri 4.0 untuk Mendukung MBKM. https://dikti.kemdikbud.go.id/wp-content/uploads/2020/10/Buku-Panduan-Penyusunan-Kurikulum-Pendidikan-Tinggi-MBKM.pdf

Kemendikbud. (2020). Reformasi Pendidikan Nasional Melalui Merdeka Belajar. https://www.kemdikbud.go.id/

Lestari, L., & Umbara, U. (2022). Bahan Ajar Desain Didaktis pada Pokok Bahasan Statistika untuk Siswa SMP / MTs - Sederajat. SJME (Supremum Journal of Mathematics Education), 6(1), 93–110. https://doi.org/10.35706/sjme.v6i

Mayer, R. E. (2021). Multimedia Learning. Cambridge University Press.

OECD. (2022). Program for International Student Assesment.

Ologbosere, O. A. (2023). Data Literacy and Higher Education in The 21st Century. IASSIST Quarterly, 47(3-4 SE-Articles). https://doi.org/https://doi.org/10.29173/iq1082

Rachmayani, A., Jumadi, & Supahar. (2023). The Effectiveness of E-Module in Improving Critical Thinking Skills of High School Students in Learning Physics. Jurnal Penelitian Pendidikan IPA, 9(11), 10287–10292. https://doi.org/10.29303/jppipa.v9i11.3859

Sá, M. J., Santos, A. I., Serpa, S., & Ferreira, C. M. (2021). Digital Literacy in Digital Society 5 . 0 : Some Challenges. Academic Journal of Interdisciplinary Studies, 10(2), 1–9. https://doi.org/https://doi.org/10.36941/ajis-2021-0033

Sari, M., Haqq, A. A., & Wahid, S. (2021). Desain Didaktis untuk Meningkatkan Kemampuan Pemecahan Masalah Siswa SMP Kelas VIII pada Materi Statistika. 5(1), 1–13.

Sensevy, G. (2014). Characterizing teaching effectiveness in the Joint Action Theory in Didactics : an exploratory study in primary school. Journal of Curriculum Studies, 46(5), 577–610. https://doi.org/10.1080/00220272.2014.931466

Sensevy, G. (2019). Joint Action Theory in Didactics (JATD). In Encyclopedia ofMathematics Education (pp. 1–5). Springer. https://doi.org/https://doi.org/10.1007/978-3-319-77487-9_100035-1

Suryadi, D. (2013). Didactical Desaign Research (DDR) To Improve The Teaching of Mathematics. East Journal Of Mathematical Education, 91–107.

Suryadi, D. (2016). Didactical Design Research (DDR): Upaya Membangun Kemandirian Berpikir melalui Penelitian Pembelajaran. In Monograf Didactical Design Research (DDR) (pp. 140–151). Rizqi Press.

Suryadi, D. (2019a). Landasan Filosofis Penelitian Desain Didaktis (DDR). Pusat Pengembangan DDR Indonesia. Pusat Pengembangan DDR Indonesia.

Suryadi, D. (2019b). Landasan Filosofis Penelitian Desain Didaktis (DDR). Pusat Pengembangan DDR Indonesia.

Suwangsih, E., Fitriani, N., & Sumarmo, U. (2023). The Development Of Prism And Pyramid Teaching Material Assisted By Construct 2 Software. (JIML) Journal Of Innovative Mathematics Learning, 6(3), 215–223. https://doi.org/https://dx.doi.org/10.22460/jiml.v6i3.p18293

Tonra, W. S., Suryadi, D., Mulyaning, E. C., Kusnandi, Hadi, W., & Indonesia, U. P. (2024). A Didactical Design For Teaching Continuity Of Function. Matematika Dan Pembelajaran, 12(2), 108–126. https://doi.org/http://dx.doi.org/10.33477/mp.v12i2.8246

Wild, C. J., & Pfannkuch, M. (1999). Statistical Thinking in Empirical Enquiry. International Statistical Review, 67(3), 223–265. https://doi.org/10.1111/j.1751-5823.1999.tb00442.x

Yanti, W. (2022). Analisis Pemahaman Konsep Materi Statistik Pada Mahasiswa Dalam Menyelesaikan Soal Hots. LINEAR: Journal of Mathematics Education, 3(2), 179–187. https://doi.org/10.32332/linear.v3i2.5763

Zulkardi, Putri, R. I. I., Alwi, Z., Samsuryadi, Sistyawati, R. I., Sepriliani, S. P., Tanjung, A. L., Jayanti, Pratiwi, R. P., Aprilisa, S., & Nusantara, D. S. (2022). Kumpulan Aktivitas dan Soal Nulis (Numerasi & Literasi) Konteks Pasca Pandemik COVID-19. Bening Media Publishing. https://repository.unsri.ac.id/96425/1/Buku 1 - Kumpulan Aktivitas Dan Soal Nulis.pdf

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2026-03-02

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