Main Article Content

Abstract

The development of mathematical creativity—typically characterized by fluency, flexibility, originality, and elaboration—has garnered growing attention within mathematics education due to its cognitive value and potential to enhance problem-solving competence. Despite this increasing interest, existing research highlights a critical gap: in-service primary school teachers often exhibit a limited understanding of mathematical creativity and face significant challenges in recognizing and assessing its manifestations in classroom settings. While prior studies have explored the influence of creativity-focused coursework on prospective teachers, investigations involving in-service educators remain sparse. Addressing this gap, the present qualitative study introduces a structured educational program designed to enhance the conceptual understanding and pedagogical practices of seven Greek in-service primary school teachers regarding mathematical creativity. The program integrates theoretical frameworks with creativity-enhancing tasks sourced from established literature, encouraging participants to analyze, solve, and adapt these tasks. Data were collected through pre- and post-program interviews and questionnaires and analyzed using thematic analysis to capture shifts in perception. The findings reveal that although participants exhibited modest enrichment in their understanding—particularly concerning the value of open-ended and non-routine tasks in fostering fluency and flexibility—they continued to struggle with promoting originality and elaboration. These results underscore the necessity for sustained, targeted professional development initiatives that support teachers in identifying and implementing strategies to nurture all dimensions of mathematical creativity. This study contributes to the field by offering empirical evidence on how thoughtfully designed programs can incrementally refine in-service teachers’ perceptions and instructional approaches toward creativity in mathematics education.

Keywords

Creative Tasks Educational Program In-Service Teachers’ Perceptions Mathematical Creativity Professional Development

Article Details

How to Cite
Zioga, M., & Desli, D. (2025). In-service teachers’ seeing mathematical creativity: Unravelling and launching mathematical creativity tasks. Journal on Mathematics Education, 16(2). Retrieved from http://jme.ejournal.unsri.ac.id/index.php/jme/article/view/3514

References

  1. Aljughaiman, A., & Mowrer‐Reynolds, E. (2005). Teachers' conceptions of creativity and creative students. The Journal of Creative Behavior, 39(1), 17–34. https://doi.org/10.1002/j.2162-6057.2005.tb01247.x
  2. Bereczki, E. O., & Kárpáti, A. (2018). Teachers’ beliefs about creativity and its nurture: A systematic review of the recent research literature. Educational Research Review, 23, 25–56. https://doi.org/10.1016/j.edurev.2017.10.003
  3. Bicer, A., Bicer, A., Perihan, C., & Lee, Y. (2022). Pre-service teachers’ preparations for designing and implementing creativity-directed mathematical tasks and instructional practices. Mathematics Education Research Journal, 34(3), 491–521. https://doi.org/10.1007/s13394-022-00409-x
  4. Boaler, J. (1998). Open and closed mathematics: Student experiences and understandings. Journal for Research in Mathematics Education, 29(1), 41-62. https://doi.org/10.5951/jresematheduc.29.1.0041
  5. Bolden, D. S., Harries, A. V., & Newton, D. P. (2010). Pre-service primary teachers’ conceptions of creativity in mathematics. Educational Studies in Mathematics, 73(2), 143–157. https://doi.org/10.1007/s10649-009-9207-z
  6. Bryman, A. (2016). Social research methods. Oxford University Press.
  7. Clarke, V., & Braun, V. (2014). Thematic analysis. In T. Teo (Ed.), Encyclopedia of Critical Psychology (pp. 1947–1952). New York: Springer. https://doi.org/10.1007/978-1-4614-5583-7_311
  8. Corbin, J., & Strauss, A. (2015). Basics of qualitative research: Techniques and procedures for developing grounded theory (4th ed.). SAGE Publications.
  9. Craft, A. (1997). Identity and creativity: Educating teachers for postmodernism? Teacher Development, 1(1), 83–96. https://doi.org/10.1080/13664539700200001
  10. Ervynck, G. (2002). Mathematical creativity. In D. Tall (Ed.), Advanced mathematical thinking (pp. 42–53). Springer. https://doi.org/10.1007/0-306-47203-1_3
  11. Even, R., Karsenty, R., & Friedlander, A. (2009). Mathematical creativity and giftedness in teacher professional development. In R. Leikin, A. Berman, & B. Koichu (Eds.), Creativity in mathematics and the education of gifted students (pp. 309–324). Rotterdam: Sense Publishers. https://doi.org/10.1163/9789087909352_020
  12. Guilford, J. P. (1966). Measurement and creativity. Theory into Practice, 5(4), 185–189. https://doi.org/10.1080/00405846609542023
  13. Hadamard, J. (1945). The psychology of invention in the mathematical field. Princeton University Press. https://doi.org/10.2307/3608500
  14. Haylock, D. (1987). A framework for assessing mathematical creativity in school children. Educational Studies in Mathematics, 18(1), 59–74. https://doi.org/10.1007/bf00367914
  15. Haylock, D. (1997). Recognising mathematical creativity in schoolchildren. ZDM, 29(3), 68–74. https://doi.org/10.1007/s11858-997-0002-y
  16. Hershkovitz, S., Peled, I., & Littler, G. (2009). Mathematical creativity and giftedness in elementary school: Task and teacher promoting creativity for all. In R. Leikin, A. Berman & B. Koichu (Εds.), Creativity in mathematics and the education of gifted students (pp. 253–269). Rotterdam: Sense Publishers. https://doi.org/10.1163/9789087909352_017
  17. Jonassen, D. (1997). Instructional design model for well-structured and ill-structured problem-solving learning outcomes. Educational Technology: Research and Development, 45(1), 65–94. https://doi.org/10.1007/bf02299613
  18. Kandemir, M. A., Tezci, E., Shelley, M., & Demirli, C. (2019). Measurement of creative teaching in mathematics class. Creativity Research Journal, 31(3), 272–283. https://doi.org/10.1080/10400419.2019.1641677
  19. Klein, S., & Leikin, R. (2020). Opening mathematical problems for posing open mathematical tasks: what do teachers do and feel?. Educational Studies in Mathematics, 105(3), 349-365. https://doi.org/10.1007/s10649-020-09983-y
  20. Kozlowski, J. S., Chamberlin, S. A., & Mann, E. (2019). Factors that influence mathematical creativity. The Mathematics Enthusiast, 16(1), 505–540. https://doi.org/10.54870/1551-3440.1471
  21. Kozlowski, J. S., & Si, S. (2019). Mathematical creativity: A vehicle to foster equity. Thinking Skills and Creativity, 33, 1–8. https://doi.org/10.1016/j.tsc.2019.100579
  22. Kwon, O.N., Park, J.S., & Park, J.H. (2006). Cultivating divergent thinking in mathematics through an open-ended approach. Asia Pacific Education Review, 7(1), 51–61. https://doi.org/10.1007/bf03036784
  23. Leikin, R. (2009). Exploring mathematical creativity using multiple solution tasks. In R. Leikin, A. Berman & B. Koichu (Eds.), Creativity in mathematics and the education of gifted students (pp. 129–145). Rotterdam: Sense Publishers. https://doi.org/10.1163/9789087909352_010
  24. Leikin, R., & Elgrably, H. (2022). Strategy creativity and outcome creativity when solving open tasks: focusing on problem posing through investigations. ZDM, 54(1), 35–49. https://doi.org/10.1007/s11858-021-01319-1
  25. Leikin, R., Subotnik, R., Pitta-Pantazi, D., Singer, F. M., & Pelczer, I. (2013). Teachers’ views on creativity in mathematics education: an international survey. ZDM, 45(2), 309–324. https://doi.org/10.1007/s11858-012-0472-4
  26. Levenson, E. (2011). Exploring collective mathematical creativity in elementary school. Journal of Creative Behavior, 45(3), 215–234. https://doi.org/10.1002/j.2162-6057.2011.tb01428.x
  27. Levenson, E. (2013). Tasks that may occasion mathematical creativity: teachers’ choices. Journal of Mathematics Teacher Education, 16(4), 269–291. https://doi.org/10.1007/s10857-012-9229-9
  28. Levenson, E. (2015). Exploring Ava’s developing sense for tasks that may occasion mathematical creativity. Journal of Mathematics Teacher Education, 18(1), 1–25. https://doi.org/10.1007/s10857-013-9262-3
  29. Levenson, E. S. (2022). Exploring the relationship between teachers’ values and their choice of tasks: the case of occasioning mathematical creativity. Educational Studies in Mathematics, 109(3), 469–489. https://doi.org/10.1007/s10649-021-10101-9
  30. Levenson, E., Swisa, R., & Tabach, M. (2018). Evaluating the potential of tasks to occasion mathematical creativity: definitions and measurements. Research in Mathematics Education, 20(3), 273–294. https://doi.org/10.1080/14794802.2018.1450777
  31. Lev-Zamir, H., & Leikin, R. (2011). Creative mathematics teaching in the eye of the beholder: Focusing on teachers' conceptions. Research in Mathematics Education, 13(1), 17–32. https://doi.org/10.1080/14794802.2011.550715
  32. Mabry, L. (2008). Case study in social research. In P. Alasuutari, L. Bickman, & J. Brannen (Eds.), The SAGE handbook of social research methods, 214–227. SAGE Publications. https://doi.org/10.4135/9781446212165.n13
  33. National Council of Teachers of Mathematics (NCTM, 2000). Principles and standards for school mathematics. National Council of Teachers of Mathematics.
  34. Pitta-Pantazi, D. (2017). What have we learned about giftedness and creativity? An overview of a five years journey. In R. Leikin & B. Sriraman (Eds.), Creativity and giftedness (pp. 201–223). Springer. https://doi.org/10.1007/978-3-319-38840-3_13
  35. Poincaré, H. (1910). Mathematical Creation. Monist, 20(3), 321–335. https://doi.org/10.5840/monist19102037
  36. Proudfoot, K. (2023). Inductive/deductive hybrid thematic analysis in mixed methods research. Journal of Mixed Methods Research, 17(3), 308–326. https://doi.org/10.1177/15586898221126816
  37. Sheffield, L. J. (2013). Creativity and school mathematics: Some modest observations. ZDM, 45(2), 325–332. https://doi.org/10.1007/s11858-013-0484-8
  38. Sheffield, L. J. (2015). Rational creativity: algorithms or innovation? Teaching operations with fractions. In F. M. Singer, F. Toader & C. Voica (Eds.), Proceedings of the ninth Mathematical Creativity and Giftedness International Conference (pp. 231–232). Sinaia: Romania. https://mcg.edusigma.ro/pdfuri/MCG-9-Conference-proceedings.pdf
  39. Shriki, A. (2010). Working like real mathematicians: Developing prospective teachers’ awareness of mathematical creativity through generating new concepts. Educational Studies in Mathematics, 73(2), 159–179. https://doi.org/10.1007/s10649-009-9212-2
  40. Shriki, A. (2021). The many faces of creativity. In D. Patkin, A. Shriki & I. Levenberg (Eds.), The multifaceted nature of creativity in the teaching of geometry (pp. 3–29). New York: World Scientific. https://doi.org/10.1142/9789811218750_0001
  41. Silver, E. A. (1997). Fostering creativity through instruction rich in mathematical problem solving and problem posing. ZDM, 29(3), 75–80. https://doi.org/10.1007/s11858-997-0003-x
  42. Sriraman, B. (2008). The characteristics of mathematical creativity. ZDM, 41(1–2), 13–27. https://doi.org/10.1007/s11858-008-0114-z
  43. Sriraman, B., Yaftian, N., & Lee, K. H. (2011). Mathematical creativity and mathematics education: A derivative of existing research. In B. Sriraman & K. H. Lee (Εds.), The elements of creativity and giftedness in mathematics (pp. 119–130). Rotterdam: Sense Publishers. https://doi.org/10.1007/978-94-6091-439-3_8
  44. Torrance, E. P. (1967). Scientific views of creativity and factors affecting its growth. Daedalus, 94(3), 663–681. https://www.jstor.org/stable/20026936
  45. Yeo, K. K. J. (2009). Secondary 2 students' difficulties in solving non-routine problems. International Journal for Mathematics Teaching and Learning, 10, 1–30. https://eric.ed.gov/?id=EJ904874