Slikanica kot spodbuda za matematično ustvarjalnost v osnovnošolskem izobraževanju
DOI:
https://doi.org/10.55707/ds-po.v41i2.186Ključne besede:
matematične delavnice, ustvarjanje nalog, dodatni pouk matematike, razredni pouk, interdisciplinarni pristopPovzetek
V raziskavi smo preučili, kako lahko slikanica služi kot spodbuda za razvoj matematične ustvarjalnosti pri nadarjenih učencih nižjih razredov osnovne šole. Štirje učenci so sodelovali v treh delavnicah, ki so temeljile na slikanici Brojalica (The Counting Book, Donaldson & King-Chai, 2021) in v okviru katerih so ustvarjali nove matematične naloge. Analiza učenčevih izdelkov in izjav je pokazala postopni prehod od reproduktivnega razmišljanja k ustvarjalnemu ter razvoj fleksibilnosti, fluentnosti, izvirnosti in metakognitivne zavesti. Učenci so matematiko začeli doživljati kot prostor igre, raziskovanja in domišljije in ne le kot sistem iskanja pravilnih rešitev. Slikanica je bila učinkovito izhodišče, ki povezuje zgodbo, podobo in število ter ustvarja čustveni kontekst, v katerem se razvijata motivacija in občutek smisla. Rezultati potrjujejo, da se matematična ustvarjalnost ne razvija spontano, temveč skozi metodično vodene dejavnosti, ki učencem omogočajo svobodo razmišljanja in izražanja. Takšen integrirani pristop prispeva k razvoju pozitivnega odnosa do matematike ter spodbuja učence, da se doživljajo kot ustvarjalce znanja, kar predstavlja pomembno usmeritev za prihodnjo pedagoško prakso.
Literatura
1. Al-Barakat, A. A., El-Mneizel, A. F., Al-Qatawneh, S. S., AlAli, R. M., Aboud, Y. Z., & Ibrahim, N. A. H. (2025). Investigating the role of digital game applications in enhancing mathematical thinking skills in primary school mathematics students. Decision Making: Applications in Management and Engineering, 8(1), 132–146. https://doi.org/10.31181/dmame8120251301
2. Beghetto, R. A., & Kaufman, J. C. (2014). Classroom contexts for creativity. High Ability Studies, 25(1), 53-69. https://doi.org/10.1080/13598139.2014.905247
3. Bicer, A., Marquez, A., Colindres, K. V. M., Schanke, A., Castellon, L. B., Audette, L. M., Perihan, C. in Lee, Y. (2021). Investigating creativity-directed tasks in middle school mathematics curricula. Thinking Skills and Creativity, 40, Article 100823. https://doi.org/10.1016/J.TSC.2021.100823
4. Bintz, W. P., & Moore, S. D. (2002). Using literature to support mathematical thinking in middle school. Middle School Journal, 34(2), 25-32. https://doi.org/10.1080/00940771.2002.11495350
5. Bolden, D., Harries, T., & Newton, D. (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. Cai, J., & Hwang, S. (2020). Learning to teach through mathematical problem posing: Theoretical considerations, methodology, and directions for future research. International Journal of Educational Research, 102, Article 101391. https://doi.org/10.1016/j.ijer.2019.01.001
7. Cai, J., & Hwang, S. (2021). Teachers as redesigners of curriculum to teach mathematics through problem posing: conceptualization and initial findings of a problem posing project. ZDM Mathematics Education, 53(6), 1403–1416. https://doi.org/10.1007/s11858-021-01252-3
8. Cankoy, O. (2014). Interlocked problem posing and children’s problem posing performance in free structured situations. International Journal of Science and Mathematics Education, 12(1), 219-238. https://doi.org/10.1007/s10763-013-9433-9
9. Donaldson, J., & King-Chai, S. (2021). Brojalica. Profil knjiga.
10. Drake, S. M., & Burns, R. C. (2004). Meeting standards through integrated curriculum. ASCD.
11. Egan, K. (2005). An imaginative approach to teaching. Jossey-Bass.
12. Firmasari, S., Herman, T., & Firdaus, E. F. (2022). Rigorous mathematical thinking: Conceptual knowledge and reasoning in the case of mathematical proof. Kreano: Jurnal Matematika Kreatif-Inovatif, 13(2), 246–256. https://doi.org/10.15294/kreano.v13i2.34536
13. Fleer, M. (2010). Early learning and development: Cultural-historical concepts in play. Cambridge University Press. https://doi.org/10.1017/CBO9780511844836
14. Gridos, P., Avgerinos, E., Mamona-Downs, J., & Vlachou, R. (2022). Geometrical figure apprehension, construction of auxiliary lines, and multiple solutions in problem solving: Aspects of mathematical creativity in school geometry. International Journal of Science and Mathematics Education, 20(3), 619–636. https://doi.org/10.1007/s10763-021-10155-4
15. Jeffrey, B., & Craft, A. (2004). Teaching creatively and teaching for creativity: Distinctions and relationships. Educational Studies, 30(1), 77-87. https://doi.org/10.1080/0305569032000159750
16. Joklitschke, J., Rott, B., & Schindler, M. (2022). Notions of creativity in mathematics education research: A systematic literature review. International Journal of Science and Mathematics Education, 20(6), 1161-1181. https://doi.org/10.1007/s10763-021-10192-z
17. Kontorovich, I., Koichu, B., Leikin, R., & Berman, A. (2011). Indicators of creativity in mathematical problem posing: How indicative are they. In Proceedings of the 6th International Conference Creativity in Mathematics Education and the Education of Gifted Students (pp. 120-125). Latvia University. https://www.researchgate.net/publication/288909187_Indicators_of_creativity_in_mathematical_problem_posing_How_indicative_are_they
18. Krutetskii, V. A. (1976). The psychology of mathematical abilities in schoolchildren. University of Chicago Press.
19. 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). Sense Publisher. https://doi.org/10.1163/9789087909352_010
20. Leikin, R., & Pitta-Pantazi, D. (2013). Creativity and mathematics education: The state of the art. ZDM Mathematics Education, 45(2), 159-166. https://doi.org/10.1007/s11858-012-0459-1
21. 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
22. Lithner, J. (2008). A research framework for creative and imitative reasoning. Educational Studies in Mathematics, 67(3), 255-276. https://doi.org/10.1007/s10649-007-9104-2
23. Mann, E. L. (2006). Creativity: The essence of mathematics. Journal for the Education of the Gifted, 30(2), 236-260. https://doi.org/10.4219/jeg-2006-264
24. Marston, J. (2014). Identifying and using picture books with quality mathematical content. Australian Primary Mathematics Classroom, 19(1), 14-23. https://files.eric.ed.gov/fulltext/EJ1093271.pdf
25. Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis: An expanded sourcebook (2nd ed.). Sage.
26. Monteleone, C. (2022, July 3–7). Teacher questioning to support young students to interpret and explain their critical mathematical thinking. In N. Fitzallen, C. Murphy, V. Hatisaru, & N. Maher (Eds.), Mathematical confluences and journeys: Proceedings of the 44th Annual Conference of the Mathematics Education Research Group of Australasia, July 3‒7 (pp. 402‒409). MERGA. https://eric.ed.gov/?id=ED623781
27. Naylor, S., & Keogh, B. (2013). Active assessment: Thinking, learning and assessment in science. Routledge. https://doi.org/10.4324/9780203827772
28. Runco, M. A., & Acar, S. (2012). Divergent thinking as an indicator of creative potential. Creativity Research Journal, 24(1), 66-75. https://doi.org/10.1080/10400419.2012.652929
29. Sheffield, L. J. (2013). Extending the challenge in mathematics: Developing mathematical promise in K-8 students. Corwin Press.
30. Shatzer, J. (2008). Picture book power: Connecting children’s literature and mathematics. The Reading Teacher, 61(8), 649-653. https://doi.org/10.1598/RT.61.8.6
31. Silver, E. A. (1994). On mathematical problem posing. For the Learning of Mathematics, 14(1), 19-28. https://www.jstor.org/stable/40248099?origin=JSTOR-pdf
32. Silver, E. A. (1997). Fostering creativity through instruction rich in mathematical problem solving and problem posing. Zentralblatt für Didaktik der Mathematik, 29(3), 75-80. https://doi.org/10.1007/s11858-997-0003-x
33. Silver, E. A., & Cai, J. (2005). Assessing students' mathematical problem posing. Teaching children mathematics, 12(3), 129-135. https://doi.org/10.5951/TCM.12.3.0129
34. Sriraman, B. (2005). Are giftedness and creativity synonyms in mathematics? Journal of Advanced Academics, 17(1), 20-36. https://doi.org/10.4219/jsge-2005-389
35. Sriraman, B. (2009). The characteristics of mathematical creativity. ZDM Mathematics Education, 41(1-2), 13-27. https://doi.org/10.1007/s11858-008-0114-z
36. Sternberg, R. J. (2003). Creative thinking in the classroom. Scandinavian Journal of Educational Research, 47(3), 325-338. https://doi.org/10.1080/00313830308595
37. Suherman, Vidákovich, T., & Komarudin. (2021, May). STEM-E: Fostering mathematical creative thinking ability in the 21st Century. Journal of Physics: Conference Series, 1882(1), Article 012164. https://doi.org/10.1088/1742-6596/1882/1/012164
38. van den Heuvel-Panhuizen, M., Elia, I., & Robitzsch, A. (2016). Effects of reading picture books on kindergartners’ mathematics performance. Educational Psychology, 36(2), 323-346. https://doi.org/10.1080/01443410.2014.963029
39. Walton, M. W., Elby, A., Fofang, J. S., & Weintrop, D. (2022, July). Teachers’ conceptualizations of computational and mathematical thinking. In M. Gresalfi & I. S. Horn (Eds.), Proceedings of the 16th International Conference of the Learning Sciences – ICLS 2022. International Society of the Learning Sciences. https://par.nsf.gov/biblio/10327070
40. Whitin, P., & Whitin, D. (2004). New visions for linking literature and mathematics. National Council of Teachers of English.
Prenosi
Objavljeno
Kako citirati
Številka
Rubrike
Licenca
Avtorske pravice (c) 2026 Josipa Jurić, Irena Mišurac, Amadea Urbas

To delo je licencirano pod Creative Commons Priznanje avtorstva 4.0 mednarodno licenco.


