Main Article Content
Abstract
Keywords
Article Details

This work is licensed under a Creative Commons Attribution 4.0 International License.
References
- 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
- 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
- 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
- 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
- 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
- Bryman, A. (2016). Social research methods. Oxford University Press.
- 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
- Corbin, J., & Strauss, A. (2015). Basics of qualitative research: Techniques and procedures for developing grounded theory (4th ed.). SAGE Publications.
- Craft, A. (1997). Identity and creativity: Educating teachers for postmodernism? Teacher Development, 1(1), 83–96. https://doi.org/10.1080/13664539700200001
- 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
- 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
- Guilford, J. P. (1966). Measurement and creativity. Theory into Practice, 5(4), 185–189. https://doi.org/10.1080/00405846609542023
- Hadamard, J. (1945). The psychology of invention in the mathematical field. Princeton University Press. https://doi.org/10.2307/3608500
- 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
- Haylock, D. (1997). Recognising mathematical creativity in schoolchildren. ZDM, 29(3), 68–74. https://doi.org/10.1007/s11858-997-0002-y
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- National Council of Teachers of Mathematics (NCTM, 2000). Principles and standards for school mathematics. National Council of Teachers of Mathematics.
- 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
- Poincaré, H. (1910). Mathematical Creation. Monist, 20(3), 321–335. https://doi.org/10.5840/monist19102037
- 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
- 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
- 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
- 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
- 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
- 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
- Sriraman, B. (2008). The characteristics of mathematical creativity. ZDM, 41(1–2), 13–27. https://doi.org/10.1007/s11858-008-0114-z
- 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
- Torrance, E. P. (1967). Scientific views of creativity and factors affecting its growth. Daedalus, 94(3), 663–681. https://www.jstor.org/stable/20026936
- 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
References
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
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
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
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
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
Bryman, A. (2016). Social research methods. Oxford University Press.
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
Corbin, J., & Strauss, A. (2015). Basics of qualitative research: Techniques and procedures for developing grounded theory (4th ed.). SAGE Publications.
Craft, A. (1997). Identity and creativity: Educating teachers for postmodernism? Teacher Development, 1(1), 83–96. https://doi.org/10.1080/13664539700200001
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
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
Guilford, J. P. (1966). Measurement and creativity. Theory into Practice, 5(4), 185–189. https://doi.org/10.1080/00405846609542023
Hadamard, J. (1945). The psychology of invention in the mathematical field. Princeton University Press. https://doi.org/10.2307/3608500
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
Haylock, D. (1997). Recognising mathematical creativity in schoolchildren. ZDM, 29(3), 68–74. https://doi.org/10.1007/s11858-997-0002-y
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
National Council of Teachers of Mathematics (NCTM, 2000). Principles and standards for school mathematics. National Council of Teachers of Mathematics.
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
Poincaré, H. (1910). Mathematical Creation. Monist, 20(3), 321–335. https://doi.org/10.5840/monist19102037
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
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
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
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
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
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
Sriraman, B. (2008). The characteristics of mathematical creativity. ZDM, 41(1–2), 13–27. https://doi.org/10.1007/s11858-008-0114-z
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
Torrance, E. P. (1967). Scientific views of creativity and factors affecting its growth. Daedalus, 94(3), 663–681. https://www.jstor.org/stable/20026936
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