A comparison of creative problem solving features of gifted and non-gifted high school students
DOI:
https://doi.org/10.47750/pegegog.12.02.03Keywords:
Creativity, mathematical creativity, creative problem solving, gifted students, non-gifted studentsAbstract
This study, it was aimed to examine the creative problem-solving characteristics of gifted and non-gifted high school students in terms of giftedness diagnosis, gender, and grade level variables. The research used the descriptive research model and causal comparison design, which are among the scanning models. A total of 375 9th, 10th, 11th, and 12th-grade students, 73 gifted students, and 302 non-gifted students participated in the research. Data on gifted students were collected from two Science and Art Centers in a province in the Marmara region. Data on non-gifted students were collected from two Science High Schools and three Anatolian High Schools in the same province. "Creative Problem Solving Features Inventory" was used as a data collection tool in the research. It has been observed that the creative problem-solving skills of the gifted and non-gifted students differ in divergent thinking, general knowledge and skills, and the general average in favor of the gifted. There was a significant difference in favor of girls in the general average scores and the mean scores of the environment sub-dimension among gifted students. A significant difference was found in favor of the gifted in the dimension of divergent thinking at the 9th-grade level, and in the dimension of divergent thinking and general knowledge and skills at the 11th-grade level. However, it was observed that there was no significant difference between gifted and non-gifted students at the 10th and 12th-grade levels.
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Akgül, S. (2014). Üstün yetenekli öğrencilerin matematik yaratıcılıklarını açıklamaya yönelik bir model geliştirilmesi. Unpublished doctorate dissertation. İstanbul Üniversitesi. İstanbul.
Akgül, S., & Kahveci, N. G. (2016). A study on the development of a mathematics creativity scale. Eurasian Journal of Educational Research, 62, 57-76 http://dx.doi.org/10.14689/ejer.2016.62.5
Amabile, T. M. (1983). The social psychology of creativity: A componential conceptualization. Journal of Personality and Social Psychology, 45, 357–376. https://doi.org/10.1037/0022-3514.45.2.357
Baer, J., & Kaufman, J. C. (2008). Gender differences in creativity. Journal of Creativity Behavior, 42, 75–105. https://doi.org/10.1002/j.2162-6057.2008.tb01289.x
Balka, D. S. (1974). The development of an instrument to measure creative ability in mathematics. Unpublished doctorate dissertation. University of Missouri, Columbia.
Baran-Bulut, B., İpek, A. S., & Aygün, B. (2018). Yaratıcı problem çözme özellikleri envanterini Türkçeye uyarlama çalışması. Abant İzzet Baysal Üniversitesi Eğitim Fakültesi Dergisi, 18 (3), 1360-1377.
Bellanca, J., & Brandt, R. (2010). Twenty-first century skills: Rethinking how students learn. Bloomington: Solution Tree Press.
Biçer, A., Lee, Y., Perihan, C., Capraro, M. M., & Capraro, R. M. (2020). Considering mathematical creative self-efficacy with problem posing as a measure of mathematical creativity. Educational Studies in Mathematics, 105(3), 457–485. https://doi.org/10.1007/s10649-020-09995-8
Büyüköztürk, Ş. (2012). Sosyal bilimler için veri analizi el kitabı istatistik, araştırma deseni, SPSS uygulamaları ve yorum (17. bs.). Ankara: Pegem A Yayıncılık.
Büyüköztürk, Ş., Çakmak, K. E., Akgün, E. Ö., Karadeniz, Ş., & Demirel, F., (2016). Bilimsel Araştırma Yöntemleri (5. Baskı). Ankara: Pegem Akademi.
Can, A. (2013). SPSS ile bilimsel araştırma sürecinde nicel veri analizi. Ankara: Pegem Akademi.
Chamberlin, S. A., & Moon, S. M. (2005). Model eliciting activities as a tool to develop and identify creatively gifted mathematicians. The Journal of Secondary Gifted Education, 17, 37-44. https://doi.org/10.4219/jsge-2005-393
Chan, D. W., Cheung, P. C., Lau, S., Wu, W. Y., Kwong, J. M., & Li, W. L. (2001). Assessing ideational fluency in primary students in Hong Kong. Creativity Research Journal, 13, 359–365. https://doi.org/10.1207/S15326934CRJ1334_13
Charles, R. E., & Runco, M. A. (2000). Developmental trends in the evaluative and divergent thinking of children. Creativity Research Journal, 13, 417–437. https://doi.org/10.1207/s15326934crj1334_19
Cho, S. (2003). Creative problem solving in science: Divergent, convergent, or both? In U. Anuruthwongve C. Piboonchol (Eds.), 7th Asia-pacific Conference on Giftedness (pp. 169-174). Bangkok, Thailand.
Cooper, R. B., & Jayatilaka, B. (2006). Group creativity: The effects of extrinsic, intrinsic, and obligation motivations. Creativity Research Journal, 18, 153–172.
https://doi.org/10.1207/s15326934crj1802_3
Csikszentmihalyi, M. (1996). Creativity: Flow and the psychology of discovery and invention. New York: Harper Perennial.
Csikzentmihalyi, M., & Getzels, J. W. (1971). Discovery-oriented behavior and the originality of creative products: A study with artists. Journal of Personality and Social Psychology, 19, 47–52. https://doi.org/10.1037/h0031106
Çepni, S. (2018). Araştırma ve proje çalışmalarına giriş (8. baskı). Celepler Matbaacılık Yayın ve Dağıtım. Trabzon.
Cook, N, A., Wittig, C.V., & Treffinger, D. J. (2011). The path from potential to productivity: The parent's role in the levels of service approach to talent development. In L. Jennifer, D. J. Treffinger, T. F. Inman, & J. F. Smutny (Eds), The Authoritative Guide From the National Association for Gifted Children Parenting for High Potential (pp.243-257). Texas: Prufrock Press Inc.
DeMoss, K., Milich, R., & DeMers, S. (1993). Gender, creativity, depression, and attributional style in adolescents with high academic ability. Journal of Abnormal Child Psychology, 21 (4), 455–467. https://doi.org/10.1007/bf01261604
Ervynck, G. (2002). Mathematical creativity. In D. Tall (Ed.), Advanced mathematical thinking (pp. 42–53). Dordrecht: Springer.
Fraenkel, J. R., & Wallen, N. E. (2006). How To Design And Evaluate Research In Education. New York, The McGraw-Hill Companies.
Guignard, J. H., & Lubart, T. I. (2007). A comparative study of convergent and divergent thinking in intellectually gifted children. Gifted and Talented International, 22(1), 9-15. http://dx.doi.org/10.1080/15332276.2007.11673481
Gute, G., Gute, D., Nakamura, J., & Csikszentmihalyi, M. (2008). The early lives of highly creative persons: The influence of the complex family. Creativity Research Journal, 20(4), 343-357. https://doi.org/10.1080/10400410802391207
Haavold, P. Ø. (2013). What are the characteristics of mathematical creativity? An empirical and theoretical investigation of mathematical creativity. Unpublished doctorate dissertation. University of Tromso, Norway.
Haylock, D. W. (1984). Aspects of mathematical creativity in children aged 11-12. Unpublished doctorate dissertation. Chelsea College, University of London.
Haylock, D. W. (1987). A framework for assessing mathematical creativity in school children. Educational Studies in Mathematics, 8(1), 59-74. https://doi.org/10.1007/bf00367914
Hong, E., & Aqui, Y. (2004). Cognitive and motivational characteristics of adolescents gifted in mathematics: Comparisons among students with different types of giftedness. Gifted Child Quarterly, 48 (3), 191-201. https://doi.org/10.1177/001698620404800304
Hong, E., & Milgram, R. M. (2010). Creative thinking ability: Domain generality and specificity. Creativity Research Journal, 22(3), 272-287. https://doi.org/10.1080/10400419.2010.503535
Jensen, L. R. (1973). The relationships among mathematical creativity, numerical aptitude and mathematical achievement. Unpublished doctorate dissertation, The University of Texas at Austin, Texas.
Kahveci, N. G., & Akgül, S. (2019). The relationship between mathematical creativity and intelligence: a study on gifted and general education students. Gifted and Talented International, 34(1-2), 59-70. https://doi.org/10.1080/15332276.2019.1693311
Kattou, M., Kontoyianni, K., Pitta-Pantazi, D., & Christou, C. (2011). On the comparison between mathematically gifted and non-gifted students’ creative ability. Paper presented at the 19th Biennial World Conference of the WCGTC. Prague, Czech Republic.
Kattou, M., Kontoyianni, K., Pitta-Pantazi, & Christou, C. (2013). Connecting mathematical creativity to mathematical ability. ZDM, 45(2), 167–181. https://doi.org/10.1007/s11858-012-0467-1
Kaufman, J. C., & Sternberg, R. J. (2007). Resource Review: Creativity. Change The Magazine of Higher Learning, 39(4), 55-60. https://doi.org/10.2307/40178059
Kim, H., Cho, S., & Ahn, D. (2003). Development of mathematical creative problem solving ability test for identification of the gifted in math. Gifted Educational International, 18, 164–175. https://doi.org/10.1177/026142940301800206
Krutetskii, V. A. (1976). The Psychology of mathematical abilities in school children. University of Chicago Press.
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). Sense Publishers.
Leikin, R., & Lev, M. (2013). Mathematical creativity in generally gifted and mathematically excelling adolescents: What makes the difference? ZDM, 45(2), 183-197. https://doi.org/10.1007/s11858-012-0460-8
Leikin, R., & Pitta-Pantazi, D. (2013). Creativity and mathematics education: The state of the art. ZDM, 45(2), 159-166. https://doi.org/10.1007/s11858-012-0459-1
Levav-Waynberg, A., & Leikin, R. (2012). Using multiple solution tasks for the evaluation of students’ problem-solving performance in geometry. Canadian Journal of Science, Mathematics and Technology Education, 12(4), 311-333. https://doi.org/10.1080/14926156.2012.732191
Lin, C. (2010). Analyses of attribute patterns of creative problem solving ability among upper elementary students in Taiwan. Unpublished doctorate dissertation, St. John's Unıversıty, New York.
Lin, C. Y. (2017). Threshold effects of creative problem-solving attributes on creativity in the math abilities of Taiwanese upper elementary students. Hindawi Education Research International, 2017, 1-9. https://doi.org/10.1155/2017/4571383
Lin, C. Y., & Cho, S. (2011). Predicting creative problem-solving in math from a dynamic system model of creative problem solving ability. Creativity Research Journal, 23(3), 255-261. https://doi.org/10.1080/10400419.2011.595986
Maker, C. J. (1993). Creativity, intelligence, and problem solving: A definition and design for cross-cultural research and measurment related to giftedness. Gifted Education International, 9, 68-77. https://doi.org/10.1177/026142949300900202
Mann, E. (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
Mann, E. L. (2009). The search for mathematical creativity: Identifying creative potential in middle school students. Creativity Research Journal, 21(4), 338-348. https://doi.org/10.1080/10400410903297402
MoNE, (2018a). Milli Eğitim Bakanlığı Ortaöğretime Geçiş Yönergesi. https://www.meb.gov.tr/meb_iys_dosyalar/2018_03/26191912_yonerge.pdf
MoNE, (2018b). 2023 Eğitim Vizyonu. Milli Eğitim Bakanlığı. https://2023vizyonu.meb.gov.tr/doc/2023_EGITIM_VIZYONU.pdf
MoNE, (2019). Bilim ve sanat merkezleri yönergesi. Milli Eğitim Bakanlığı Tebliğler Dergisi, 2747 (82), 391-435. https://tebligler.meb.gov.tr/index.php/tuem-sayilar/viewcategory/87-2019.
Newton, L. D., & Newton, P. D. (2014). Creativity in 21st-century education. Prospects, 44, 575-589. https://doi.org/10.1007/s11125-014-9322-1
OECD (2019) Future Of Education And Skills 2030. OECD Learning Compass 2030. https://www.oecd.org/education/2030-project/contact/OECD_Learning_Compass_2030_Concept_Note_Series.pdf
Pitta-Pantazi, D., Christou, C., Kontoyianni, K., & Kattou, M. (2011). A model of mathematical giftedness: Integrating natural, creative, and mathematical abilities. Canadian Journal of Science, Mathematics and Technology Education, 11(1), 39-54. http://dx.doi.org/10.1080/14926156.2011.548900
Plucker, J. A., & Runco, M. A. (1998). The death of creativity measurement has been greatly exaggerated: Current issues, recent advances, and future directions in creativity assessment. Roeper Review, 21, 36–39. https://doi.org/10.1080/02783199809553924
Renzulli, J. S. (1992). A general theory for the development of creative productivity through the pursuit of ideal acts of learning. Gifted Child Quarterly, 36, 170–182. https://doi.org/10.1177/001698629203600402
Renzulli, J. S. (2005). The Three-Ring Conception of Giftedness: A Developmental Model for Promoting Creative Productivity. In Robert J. Sternberg, & Janet E. Davidson (Eds), Conceptions of Giftedness (pp. 246-280). United States of America: Cambridge University Press.
Renzulli, J. S. (2011). What makes giftedness? Reexamining a definition. Phi Delta Kappan, 92(8), 81-88. https://doi.org/10.1177/003172171109200821
Renzulli, J., & Reis, S. (2014). The schoolwide enrichment model: A how-to guide for talent development (3rd ed.). Prufrock Press Inc.
Runco, M. A. (1986). Maximal performance on dıvergent thinking tests by gifted, talented, and nongifted children. Psychology in the Schools, 23, 308–315. https://doi.org/10.1002/1520-6807
Runco. M.A. (1987). The generality of creative performance in gifted and nongifted children. Gifted Child Quarterly, 31, 121-125. https://doi.org/10.1177/001698628703100306
Runco, M. A. (2004). Creativity. In R. Blake, E. Borgıda, N. Eısenberg, S. T. Fiske, A. E. Kazdın, J. Ledoux, & D. L. Schacter (Eds), Annual review of psychology (pp. 657-687). US: Annual Review.
Runco, M. A. (2008). Creativity and education. New Horizons in Education, 56 (1), 96-104.
Runco, M. A. (2014). Creativity: Theories and themes: Research, development, and practice. (Second Edition) Elsevier Academic Press.
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
Runco, M. A., Dow, G., & Smith, W. R. (2006). Information, experience, and divergent thinking: An empirical test. Creativity Research Journal, 18 (3), 269-277. https://doi.org/10.1207/s15326934crj1803_4
Russo, C.F. (2004). A comparative study of creativity and cognitive problem-solving strategies of high-IQ and average students. Gifted Children Quarterly, 48(3), 179-190. https://doi.org/10.1177/001698620404800303
Sak, U. (2011). Selective problem solving (SPS): A model for teaching creative problem-solving. Gifted Education International, 27 (3), 349–357. https://doi.org/10.1177/026142941102700310
Sak, U., & Maker, C. J. (2006). Developmental variation in children's creative mathematical thinking as a function of schooling, age, and knowledge. Creativity Research Journal, 18(3), 279-291. http://dx.doi.org/10.1207/s15326934crj1803_5
Schoevers, E. M., Kroesbergen, E. H., & Kattou, M. (2020). Mathematical creativity: A combination of domain‐general creative and domain‐specific mathematical skills. The Journal of Creative Behavior, 54 (2), 242-252. http://dx.doi.org/10.1002/jocb.361
Selby, E. C., Shaw, E. J., & Houtz, J. C. (2005). The creative personality. Gifted Child Quarterly, 49 (4), 300-314. https://doi.org/10.1177/001698620504900404
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
Simonton, D. K. (2000). Creativity: Cognitive, personal, developmental, and social aspects. American Psychologist, 55 (1), 151. https://doi.org/10.1037/0003-066X.55.1.151
Singer, F. M., Sheffield, L. J., Freiman, V., & Brandl, M. (2016). Research on and Activities for Mathematically Gifted Students. Springer Nature.
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. (2005). Are giftedness and creativity synonyms in mathematics? The Journal of Secondary Gifted Education, 17 (1), 20–36. https://doi.org/10.4219/jsge-2005-389
Sriraman, B. (2009). The characteristics of mathematical creativity. The International Journal on Mathematics Education [ZDM], 41, 13-27. https://doi.org/10.1007/s11858-008-0114-z
Sternberg, R. J. (1985). Beyond IQ: A triarchic theory of human intelligence. New York, NY: Cambridge University Press.
Sternberg, R. J., & Grigorenko, E. L. (2002). The theory of successful intelligence as a basis for gifted education. Gifted Child Quarterly, 46 (4), 265-277. https://doi.org/10.1177/001698620204600403
Sternberg, R. J.,& Lubart, T. I. (1995). Defying the crowd: Cultivating creativity in the culture of conformity. New York: Free Press.
Sternberg, R. J., & Williams, W. M. (1996). How to develop student creativity. Alexandria, VA: Association of Supervision and Curriculum Development.
Tan, S., & Maker, C. J. (2020). Assessing creative problem solving ability in mathematics: The DISCOVER Mathematics Assessment. Gifted and Talented International, 35 (1), 58-71. https://doi.org/10.1080/15332276.2020.1793702
Tordjman, S., Besançon, M., Pennycook, C., & Lubart, T. (2021). Children with high intellectual and creative potential: Perspectives from a developmental psycho-environmental approach. In R. J. Sternberg, & D. Ambrose (Eds), Conceptions of Giftedness and Talent (pp. 251-279). Switzerland: Palgrave Macmillan: Cham.
Torrance, E. P. (1988). The nature of creativity as manifest in its testing. In R. J. Sternberg (Ed), The nature of creativity: Contemporary psychological perspectives (pp. 43-75). Cambridge University Press.
Torrance, E. P. (1995). Insights about creativity: Questioned, rejected, ridiculed, ignored. Educational Psychology Review, 7 (3), 313-322. https://doi.org/10.1007/bf02213376
Treffinger, D. J. (1995). Creative problem solving: Overview and education implications. Educational Psychology Review, 7, 301–312. https://doi.org/10.1007/bf02213375
Treffinger, D. J., & Isaksen, S. G. (2005). Creative problem solving: The history, development, and implications for gifted education and talent development. Gifted Child Quarterly, 49 (4), 342-353. https://doi.org/10.1177/001698620504900407
Treffinger, D. J., Selby, E. C., & Isaksen, S. G. (2008). Understanding individual problem-solving style: A key to learning and applying creative problem solving. Learning and Individual Differences, 18 (4), 390-401. https://doi.org/10.1016/j.lindif.2007.11.007
Trilling, B., & Fadel, C. (2009). 21st century skills: Learning for life in our times. San Francisco, CA: John Wiley & Sons.
Tyagi, T. K. (2016). Is there a causal relation between mathematical creativity and mathematical problem-solving performance? International Journal of Mathematical Education in Science and Technology, 47 (3), 388–394. http://dx.doi.org/10.1080/0020739X.2015.1075612
Urban, K. (2003). Toward a componential model of creativity. In D. Ambrose, L. M. Cohen & A. J. Tannenbaum (Eds), Creative intelligence: Toward theoretic integration (pp. 81–112). Cresskill, NJ: Hampton Press.
Usiskin, Z. (2000). The development into the mathematically talented. Journal of Secondary Gifted Education, 11, 152-162. https://doi.org/10.4219/jsge-2000-623
Walia, P. 2012. Achievement in Relation to Mathematical Creativity of Eighth Grade Students. Indian Stream Research Journal, 2 (2), 1–4. https://doi.org/10.9780/22307850
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