Design and Evaluation of a Guided Discovery Learning Model to Enhance Junior Secondary Students' Statistical Literacy

Authors

  • Firda Hariyanti Mathematics Education Study Program, Faculty of Mathematics and Natural Science, Universitas Negeri Surabaya, Jl. Ketintang Surabaya, Jawa Timur 60231, Indonesia
  • I Ketut Budayasa Mathematics Education Study Program, Faculty of Mathematics and Natural Science, Universitas Negeri Surabaya, Jl. Ketintang Surabaya, Jawa Timur 60231, Indonesia
  • Rini Setianingsih Mathematics Education Study Program, Faculty of Mathematics and Natural Science, Universitas Negeri Surabaya, Jl. Ketintang Surabaya, Jawa Timur 60231, Indonesia

DOI:

https://doi.org/10.15503/jecs2025.3.685.708

Keywords:

statistical literacy, guided discovery learning, mixed-methods, big data era, educational design research

Abstract

Aim. This study develops and evaluates the Guided Discovery Learning (GDL) model to enhance junior high school students’ statistical literacy. The model integrates contextual problem-solving tasks to strengthen students’ understanding of statistics while fostering statistical literacy.

Methods. A mixed-methods approach with an explanatory sequential design was employed. The GDL model was developed through Educational Design Research (EDR) and subsequently evaluated using a one-group pre-test–post-test design. Quantitative data were analysed using the Wilcoxon Signed-Rank Test and effect size, while qualitative insights were derived from semi-structured interviews with students and teachers to explore their experiences during implementation.

Results. Expert validation confirmed the strong alignment of the GDL design with the intended outcomes of statistical literacy, emphasising contextual relevance and scaffolding. Statistical analysis indicated significant improvement, with the median score rising from 50.00 to 87.00 (Z = -5.552, p < 0.001). All students improved, with none declining. The calculated effect size (r = 0.878) demonstrated a substantial positive impact of the intervention.

Conclusions. This study addresses theoretical needs by advancing a constructivist-based framework, while meeting practical needs by offering an empirically tested model that enhances statistical literacy. The findings highlight the value of contextually driven, problem-based pedagogy in equipping students with critical, data-informed decision-making skills essential in the big data era.

Originality. This study contributes a structured, inquiry-based GDL framework integrating authentic, real-world problems. It provides a discovery-oriented strategy that develops students’ reasoning and decision-making abilities aligned with contemporary educational priorities.

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References

Abramovich, S., & Connell, M. L. (2021). Probability and statistical data analysis. In S. Abramovich & M. L. (Eds.), Developing Deep Knowledge in Middle School Mathematics (pp. 367-408). Springer Texts in Education. Springer, Cham. https://doi.org/10.1007/978-3-030-68564-5_12

Akinsola, I. T. (2025). Resource-person-mediated instruction and secondary students’ learning outcomes in Yorùbá orature: A culturally responsive education. Education Sciences, 15(6), Article 661. https://doi.org/10.3390/educsci15060661

Alfieri, L., Brooks, P. J., Aldrich, N. J., & Tenenbaum, H. R. (2011). Supplemental material for Does discovery-based instruction enhance learning? Journal of Educational Psychology, 103(1), 1-18. https://doi.org/10.1037/a0021017.supp

Arends, R. I. (2012). Learning to teach. McGraw-Hill Companies.

Balım, A. G. (2009). The effects of discovery learning on students’ success and inquiry learning skills. Eurasian Journal of Educational Research (EJER), 35, 1-20.

Batanero, C., & Borovcnik, M. (2016). Statistics and probability in high school. SensePublishers. https://doi.org/10.1007/978-94-6300-624-8

Ben-Zvi, D., & Garfield, J. B. (2004). The challenge of developing statistical literacy, reasoning and thinking. Springer.

Bruner, J. S. (1961). The act of discovery. Harvard Educational Review, 31, 21-32.

Budgett, S., & Rose, D. (2017). Developing statistical literacy in the final school year. Statistics Education Research Journal, 16(1), 139–162. https://doi.org/10.52041/serj.v16i1.221

Buitrago, R., Salinas, J., & Boude, O. (2023). Validation of a model for the formalization of personal learning pathways through expert judgment. Journal of Higher Education Theory and Practice, 23(12), 225-242. https://doi.org/10.33423/jhetp.v23i12.6283

Chick, H., & Pierce, R. (2013). The statistical literacy needed to interpret school assessment data. Mathematics Teacher Education and Development, 15(2),5-26.

Cohen, L., Manion, L., & Morrison, K. (2002). Research methods in education (6th ed). Routledge.

Cruickshank, D. R., Jenkins, D. B., & Metcalf, K. K. (1995). The act of teaching. McGraw-Hill New York.

Dani, B.-Z., & Joan, G. (2004). Statistical literacy, reasoning, and thinking: Goals, definitions, and challenges. In D. Ben-Zvi & J. Garfield (Eds.), The challenge of developing statistical literacy, reasoning and thinking (pp. 3–15). Springer Netherlands. https://doi.org/10.1007/1-4020-2278-6_1

Diksha Bhola, Rachit Yadav, & Vimmi Malhotra. (2024). Introduction to statistical data analysis. International Journal of Advanced Research in Science, Communication and Technology, 4(7), 185–194. https://doi.org/10.48175/IJARSCT-17830

Djamarah, S. B., & Zain, A. (2013). Strategi belajar mengajar [Teaching and learning strategies]. Rineka Cipta.

English, L. D., & Watson, J. M. (2015). Statistical literacy in the elementary school: Opportunities for problem posing. In F. F. Singer, N. Ellerton, & J. Cai (Eds.), Mathematical problem posing (pp. 241–256). Springer New York. https://doi.org/10.1007/978-1-4614-6258-3_11

François, K., Monteiro, C., & Allo, P. (2020). Big-data literacy as a new vocation for statistical literacy. Statistics Education Research JOURNAL, 19(1), 194–205. https://doi.org/10.52041/serj.v19i1.130

Gal, I. (2002). Adults’ statistical literacy: Meanings, components, responsibilities. International Statistical Review, 70(1), 1–25. https://doi.org/10.1111/j.1751-5823.2002.tb00336.x

Garfield, J. B., Ben-Zvi, D., Chance, B., Medina, E., Roseth, C., & Zieffler, A. (2008). Developing students’ statistical reasoning: Connecting research and teaching practice. Springer. https://doi.org/10.1007/978-1-4020-8383-9

Garfield, J., & Ben-Zvi, D. (2005). A framework for teaching and assessing reasoning about variability10. SERJ Editorial Board, 4(1), 92-99.

Garfield, J., delMas, R., & Zieffler, A. (2012). Developing statistical modelers and thinkers in an introductory, tertiary-level statistics course. ZDM, 44(7), 883–898. https://doi.org/10.1007/s11858-012-0447-5

Gould, R. (2017). Data literacy is statistical literacy. Statistics Education Research Journal, 16(1), 22–25. https://doi.org/10.52041/serj.v16i1.209

Guler, M., Gursoy, K., & Guven, B. (2016). Critical views of 8th grade students toward statistical data in newspaper articles: Analysis in light of statistical literacy. Cogent Education, 3(1), Article 1268773. https://doi.org/10.1080/2331186X.2016.1268773

Guven, B., Baki, A., Uzun, N., Ozmen, Z. M., & Arslan, Z. (2021). Evaluating the statistics courses in terms of the statistical literacy: Didactic pathways of pre-service mathematics teachers. International Electronic Journal of Mathematics Education, 16(2), Article em0627. https://doi.org/10.29333/iejme/9769

Habibie, Z. R., Sundahry, S., Masnia, M., & Amanda, T. (2024). analisis statistical literacy mahasiswa menggunakan soal tes terintegrasi isu pendidikan Indonesia sebagai wujud pendekatan kontekstual [Statistical analysis of student literacy using integrated test questions on Indonesian education issues as a form of contextual approach]. Jurnal Muara Pendidikan, 9(1), 215–220. https://doi.org/10.52060/mp.v9i1.1663

Hariyanti, F. (2020). Statistical literacy siswa SMP dalam pembelajaran matematika [Statistical literacy of lower secondary school students in mathematics learning]. Ekspose: Jurnal Penelitian Hukum Dan Pendidikan, 18(2), 911–920. https://doi.org/10.30863/ekspose.v18i2.564

Johnson, A., Tipps, S., & Kennedy, L. M. (2016). Guiding children’s learning of mathematics (13th ed.). Cengage Learning.

Juandika, S., Arnawa, I. M., Fauzan, A., & Harisman, Y. (2024). Pengembangan perangkat pembelajaran berbasis guided discovery learning untuk meningkatkan kemampuan pemecahan masalah matematis [Development of guided discovery learning-based teaching materials to improve mathematical problem-solving skills]. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 13(2), Article 446. https://doi.org/10.24127/ajpm.v13i2.8524

Kauchak, D., & Eggen, P. (2012). Learning and teaching (6th ed.). Research-Based Methods. Pearson.

Koga, S. (2022). Characteristics of statistical literacy skills from the perspective of critical thinking. Teaching Statistics, 44(2), 59–67. https://doi.org/10.1111/test.12302

Koga, S. (2025). Lessons to demonstrate statistical literacy skills: A case study of Japanese high school students on reading statistical reports. Journal of Statistics and Data Science Education, 33(1), 77–89. https://doi.org/10.1080/26939169.2024.2334903

Kpotosu, C., Cudjoe, N., & Armah, H. (2024). Exploring effective strategies: Guided discovery in teaching surface area of a cylinder. Education Journal, 13(5), 318–328. https://doi.org/10.11648/j.edu.20241305.19

Kurnia, A. B., Lowrie, T., & Patahuddin, S. M. (2024). The development of high school students’ statistical literacy across grade level. Mathematics Education Research Journal, 36(S1), 7–35. https://doi.org/10.1007/s13394-023-00449-x

Lehohla, P. (2002). Promoting statistical literacy: A South African perspective. In B. Phillips (Ed.), Proceedings of the Sixth International Conference on Teaching Statistics (ICOTS-6). International Statistical Institute. https://iase-web.org/documents/papers/icots6/5d1_leho.pdf

MacGillivray, H., & Pereira-Mendoza, L. (2011). Teaching statistical thinking through investigative projects (pp. 109–120). New ICMI Study Series (Vol. 14). Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1131-0_14

Maharani, D., Rafianti, I., & Novaliyosi, N. (2024). Model discovery learning berbantuan geogebra untuk meningkatkan kemampuan berpikir kritis matematis dan kemandirian belajar siswa [A geogebra-assisted discovery learning model to enhance mathematical critical thinking and students’ learning independence]. Jurnal Lebesgue: Jurnal Ilmiah Pendidikan Matematika, Matematika Dan Statistika, 5(2), 913–924. https://doi.org/10.46306/lb. v5i2.638

Maison, M., Purwaningsih, S., Pathoni, H., Falah, H. S., Putri, K. E., Fitriani, R., & Hidayati, H. (2025). Reduction of student misconceptions using nearpod interactive learning platform based on Posner’s conceptual change theory. Jurnal Ilmiah Ilmu Terapan Universitas Jambi, 9(2), 709–720. https://doi.org/10.22437/jiituj.v9i2.41932

Manurung, A. S., & Pappachan, P. (2025). The role of discovery learning in efforts to develop students’ critical thinking abilities. Journal of Education and Learning (EduLearn), 19(1), 46–53. https://doi.org/10.11591/edulearn.v19i1.21788

Mayer, R. E., & Wittrock, M. C. (2006). Problem solving. In P. A. Alexander & P. H. Winne (Eds.), Handbook of educational psychology (2nd ed., pp.287–303). Lawrence Erlbaum.

Metz, M. L. (2010). Using GAISE and NCTM standards as frameworks for teaching probability and statistics to pre-service elementary and middle school mathematics teachers. Journal of Statistics Education, 18(3). https://doi.org/10.1080/10691898.2010.11889585

Munasinghe, T., & Svirsky, A. (2021). Engaging students in data literacy: Lessons learned from data intensive classrooms. 13th ACM Web Science Conference 2021, 40–43. https://doi.org/10.1145/3462741.3466665

Mutiah, Salsabila, E., & Haeruman, L. D. (2024). Pengaruh model pembelajaran guided discovery learning berbantuan lkpd terstruktur terhadap kemampuan pemahaman konsep matematis siswa SMA Negeri 30 Jakarta [The influence of the guided discovery learning model assisted by structured student worksheets on senior high school students’ mathematical conceptual understanding at SMA Negeri 30 Jakarta]. Jurnal Riset Pembelajaran Matematika Sekolah, 8(2), 55–62. https://doi.org/10.21009/jrpms.082.07

National Council of Teachers of Mathematics (NCTM). (2000). Principles and standards for school mathematics. The United States of America.

Oliveira, H., Henriques, A., & da Ponte, J. P. (2016). Developing Statistical Literacy (DSL): Student learning and teacher education. In D. Ben-Zvi & K. Makar (Eds.), The Teaching and Learning of Statistics (pp. 299–300). Springer International Publishing. https://doi.org/10.1007/978-3-319-23470-0_35

Papancheva, R. Y. (2017). Working with data tables and graphs at primary school. Journal of Process Management. New Technologies, 5(4), 8–12. https://doi.org/10.5937/JOUPROMAN5-15373

Pfannkuch, M., Regan, M., Wild, C., & Horton, N. J. (2010). Telling data stories: Essential dialogues for comparative reasoning. Journal of Statistics Education, 18(1). https://doi.org/10.1080/10691898.2010.11889479

Prihastari, E. B., Sukestiyarno, S., & Kartono, K. (2022). Kajian literasi statistik pada jenjang pendidikan di Indonesia [A review of statistical literacy across educational levels in Indonesia]. Mendidik: Jurnal Kajian Pendidikan Dan Pengajaran, 8(2), 290–299. https://doi.org/10.30653/003.202282.250

Retnawati, H., Apino, E., Djidu, H., Ningrum, W. P., Anazifa, R. D., & Kartianom, K. (2019). Scaffolding for international students in statistics lecture. Journal of Physics: Conference Series, 1320(1), Article 012078. https://doi.org/10.1088/1742-6596/1320/1/012078

Ridgway, J., Nicholson, J., & McCusker, S. (2011). Developing statistical literacy in students and teachers. In C. Batanero, G. Burrill, & C. Reading (Eds.), Teaching statistics in school mathematics-Challenges for teaching and teacher education (pp. 311–322). Springer. https://doi.org/10.1007/978-94-007-1131-0_30

Rumsey, D. J. (2002). Statistical literacy as a goal for introductory statistics courses. Journal of Statistics Education, 10(3). https://doi.org/10.1080/10691898.2002.11910678

Sabbati, G. (2022). Statistical and data literacy, a practitioner’s view for policy-making: How to provide independent, objective and authoritative data and information for policy-making. Statistical Journal of the IAOS, 38(2), 463–469. https://doi.org/10.3233/SJI-220942

Schield, M. (1999). Statistical literacy: Thinking critically about statistics. Of Significance, 1(1), 15–20.

Schield, M. (2010). Assessing statistical literacy: Take CARE. In P. Bidgood, N. Hunt, F. Jolliffe (Eds.), Assessment methods in statistical education (pp. 133–152). Wiley. https://doi.org/10.1002/9780470710470.ch11

Schield, M. (2016). Augsburg student evaluations of STAT 102: Social statistics for decision makers. In Papers presented at the Joint Statistical Meetings Chicago, IL (pp. 3741–3750). www.StatLit.org/pdf/2016-Schield-ASA.pdf

Schunk, D. H. (2012). Learning theories an educational perspective. Pearson Education, Inc.

Setiawan, E. P. (2019). Analisis muatan literasi statistika dalam buku teks matematika Kurikulum 2013 [Analysis of statistical literacy content in mathematics textbooks of the 2013 curriculum]. Pythagoras: Jurnal Pendidikan Matematika, 14(2), 163–177. https://doi.org/10.21831/pg.v14i2.28558

Sharma, S. (2017). Definitions and models of statistical literacy: A literature review. Open Review of Educational Research, 4(1), 118–133. https://doi.org/10.1080/23265507.2017.1354313

Slavin, R. E. (2018). Educational psychology: Theory and practice (12th ed.). Pearson.

Takaria, J., & Talakua, M. (2018). The ability of statistical literacy student teacher candidate in terms of prior-ability on mathematics. Jurnal Kependidikan: Penelitian Inovasi Pembelajaran, 2(2), 395–408. https://doi.org/10.21831/jk.v2i2.18768

Teke, B., & Çalışıcı, H. (2025). Using inquiry-based learning approach in the teaching process of divisibility rules. Asia Pacific Education Review, 26(2), 519–538. https://doi.org/10.1007/s12564-025-10036-3

Wallman, K. K. (1993). Enhancing statistical literacy: Enriching our society. Journal of the American Statistical Association, 88(421), 1–8. https://doi.org/10.1080/01621459.1993.10594283

Watson, J. M. (1997). Assessing statistical thinking using the media. The Assessment Challenge in Statistics Education, 12, 107–121.

Watson, J. M. (2003). Is statistical literacy relevant for middle school students. The Bulletin of the International Statistical Institute 54th Session, 60, 68–71.

Watson, J. M. (2013). Statistical literacy at school: Growth and goals. Routledge.

Weiland, T. (2017). Problematizing statistical literacy: An intersection of critical and statistical literacies. Educational Studies in Mathematics, 96(1), 33–47. https://doi.org/10.1007/s10649-017-9764-5

Zawojewski, J. S., & Shaughnessy, J. M. (2000). Take time for action: Mean and median: Are they really so easy? Mathematics Teaching in the Middle School, 5(7), 436–440. https://doi.org/10.5951/MTMS.5.7.0436

Ziegler, L. A. (2014). Reconceptualizing statistical literacy: Developing an assessment for the modern introductory statistics course. In K. Makar, B. de Sousa, & R. Gould (Eds.), Sustainability in statistics education (pp. 1-6). The Netherlands: International Statistical Institute.

Ziegler, L., & Garfield, J. (2018). Developing a statistical literacy assessment for the modern introductory statistics course. Statistics Education Research Journal, 17(2), 161–178. https://doi.org/10.52041/serj.v17i2.164

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Published

2025-09-23

How to Cite

Hariyanti, F. ., Budayasa, I. K., & Setianingsih, R. (2025). Design and Evaluation of a Guided Discovery Learning Model to Enhance Junior Secondary Students’ Statistical Literacy. Journal of Education Culture and Society, 16(2), 685-708. https://doi.org/10.15503/jecs2025.3.685.708