Articles

Discovery as culture, not template: lessons from Hungary

Published:
2026-06-04
Author
View
Keywords
License

Copyright (c) 2026 Keren Dror

Creative Commons License

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

How To Cite
Selected Style: APA
Dror, K. (2026). Discovery as culture, not template: lessons from Hungary. Teaching Mathematics and Computer Science, 24(1), 77-102. https://doi.org/10.5485/TMCS.2026.16143
Abstract

In this study, I investigate the structural adaptations necessary to implement Hungarian-style guided discovery in mainstream secondary school classrooms. During a six-week residency in Budapest, I observed classrooms, interviewed five Hungarian educators, and collected survey and interview data from students. My findings suggest that guided discovery in Hungary is less a fixed method and more a pedagogical culture, shaped by shared values, historical influences, and professional communities. While Hungarian educators praised its ability to foster deep thinking, student agency, and creativity, they also described challenges around pacing, assessment, and curriculum alignment. Structural supports such as flexible curriculum frameworks, professional networks, and differentiated assessment practices emerged as critical enablers of the method’s success. Student responses revealed both the promise of discovery-based instruction and the pressures it can create without sufficient scaffolding. I conclude that Hungarian-style guided discovery is not best understood as a replicable model, but as a set of values that evolve through professional dialogue and trial-and-error. Its meaningful implementation depends not on uniform procedures, but on the presence of cultural, institutional, and community structures that allow teachers to make it their own.

Subject Classification: 97D40, 97D50, 97C30

References
  1. Artigue, M. & Blomhøj, M. (2013). Conceptualizing inquiry-based education in mathematics. ZDM Mathematics Education, 45, 797–810. https://doi.org/10.1007/s11858-013-0506-6
  2. Atkinson, R. K., Derry, S. J., Renkl, A., & Wortham, D. (2000). Learning from examples: Instructional principles from the worked examples research. Review of Educational Research, 70 (2), 181–214. https://doi.org/10.3102/00346543070002181
  3. Bruner, J. S. (1961). The act of discovery. Harvard Educational Review, 31 (1), 21–32.
  4. C. Neményi, E. (2015). Kombinatorika [Combinatorics]. ELTE TÓK.
  5. Coppin, C. A., Mahavier, W. T., May, E. L., & Parker, G. E. (2009). The Moore Method: A pathway to learner-centered instruction. Mathematical Association of America.
  6. Engeln, K., Euler, M., & Maaß, K. (2013). Inquiry-based learning in mathematics and science: A comparative baseline study of teachers’ beliefs and practices across 12 European countries. ZDM Mathematics Education, 45, 823–836. https://doi.org/10.1007/s11858-013-0507-5
  7. Gosztonyi, K. (2016). Mathematical culture and mathematics education in Hungary in the XXth century. In B. Larvor (Ed.), Mathematical cultures: The London Meetings 2012–2014 (pp. 71–89). Birkhäuser.
  8. Gosztonyi, K., & Varga, E. (2023). Teachers’ practices and resources in the Hungarian “Guided Discovery” approach to teaching mathematics: Presenting and representing “series of problems.” ZDM Mathematics Education, 55, 641–656. https://doi.org/10.1007/s11858-023-01481-8
  9. Hmelo-Silver, C. E., Duncan, R. G., & Chinn, C. A. (2007). Scaffolding and achievement in problem-based and inquiry learning: A response to Kirschner, Sweller, and Clark. Educational Psychologist, 42 (2), 99–107.
  10. Katona, D., & Szűcs, G. (2017). Pósa-method & cubic-geometry – a sample of a problem thread for discovery learning of mathematics. In T. J. Karlovitz (Ed.), Differences in pedagogical theory and practice (pp. 17–34). https://doi.org/10.18427/iri-2017-0079
  11. Lazonder, A. W., & Harmsen, R. (2016). Meta-analysis of inquiry-based learning: Effects of guidance. Review of Educational Research, 86 (3), 681–718. https://doi.org/10.3102/0034654315627366
  12. Linneberg, M. S., & Korsgaard, S. (2019). Coding qualitative data: A synthesis guiding the novice. Qualitative Research Journal, 19 (3), 259–270. https://doi.org/10.1108/QRJ-12-2018-0012
  13. Lomibao, L. S. (2016). Enhancing mathematics teachers’ quality through Lesson Study. SpringerPlus, 5, Art. ID 1590. https://doi.org/10.1186/s40064-016-3215-0
  14. Mabhoza, Z., & Olawale, B. E. (2024). Chronicling the experiences of mathematics learners and teachers on the usage of guided discovery learning (GDL) in enhancing learners’ academic performance. Research in Social Sciences and Technology, 9 (1), 141–155.
  15. Marshall, S. A., & Horn, I. S. (2025). Teachers as agentic synthesizers: Recontextualizing personally meaningful practices from professional development. Journal of the Learning Sciences, 34 (3), 246–284. https://doi.org/10.1080/10508406.2025.2468230
  16. Matzal, C., Manahan, K., Galaty, B., Wang, H., & Barbarics, M. (2020). Guided discovery in Hungarian education using problem threads: The Pósa Method in secondary mathematics classrooms. Teaching Mathematics and Computer Science, 18 (1), 51–67. https://ojs.lib.unideb.hu/tmcs/article/view/10963/9723
  17. Pang, J. (2016). Improving mathematics instruction and supporting teacher learning in Korea through lesson study using five practices. ZDM Mathematics Education, 48, 471–483. https://doi.org/10.1007/s11858-016-0768-x
  18. Schoenfeld, A. (2010). Bharath Sriraman and Lyn English: Theories of mathematics education: seeking new frontiers. (Springer series: advances in mathematics education). ZDM Mathematics Education, 42, 503-506. https://doi.org/10.1007/s11858-010-0268-3
  19. Urbanski, M., Daunt, Z., Saluja, T., Barbarics, M., & Juhász, P. (2022). Connections between discovery learning through the Pósa Method and the secondary school leaving examination in three Hungarian mathematics classrooms. Teaching Mathematics and Computer Science, 20 (1), 67–85. https://doi.org/10.5485/TMCS.2022.0537
  20. Varga, T. (1969). Matematikatanítás az alsó tagozaton [Teaching mathematics in the lower grades]. In A matematika tanítása [Teaching mathematics]. Tankönyvkiadó.
  21. Wenger, E. (1998). Communities of practice: Learning, meaning, and identity. Cambridge University Press. https://doi.org/10.1017/CBO9780511803932
  22. Yuliani, K., & Saragih, S. (2015). The development of learning devices based guided discovery model to improve understanding concept and critical thinking mathematically ability of students at Islamic Junior High School of Medan. Journal of Education and Practice, 6 (24), 116–128.
Database Logos

Keywords