Problem-Oriented Self-Efficacy Perception Scale for Mathematical Creativity: Validity and Reliability Studies

Yıl 2022, Cilt: 8 Sayı: 1, 1 - 14, 31.12.2022

Şeyma Altun Kübra Açıkgül

https://doi.org/10.17985/ijare.1201283

Cited By: 2

Öz

The study aims to develop the Problem-Oriented Self-Efficacy Perception Scale for Mathematical Creativity to determine the pre-service mathematics teachers’ mathematical creativity self-efficacy perception in a valid and reliable way. The exploratory sequential mixed method was preferred for the research. In the research, while qualitative procedures were followed during the item pool preparation, the scales' psychometric properties were researched using quantitative methods. The convenience sampling method was used to determine the participants. The research was conducted with primary school pre-service mathematics teachers studying in four state urban universities in three different regions (Black Sea Region, Eastern Anatolia Region, Southeastern Anatolia Region) of Turkey. The first study group constituted of three hundred eleven pre-service mathematics teachers while the second study group three hundred sixty-four pre-service mathematics teachers. As a result of the research, a 3-factor structure consisting of fluency, flexibility, and originality factors, and explaining 61.527% of the total variance was obtained. Validity and reliability calculations of the scale consisting of 21 items in 5-point Likert type resulted positively.

Anahtar Kelimeler

Pre-service teachers, mathematical creativity, scale development, self-efficacy perception.

Kaynakça

• Açıkgül, K., & Aksungur Altun, S. (2022). Developing a mathematical creativity self-efficacy perception scale for pre-service mathematics teachers. Research in Pedagogy, 12(1), 15-28. ttps://doi.org//10.5937/IstrPed2201015A
• Akgul, S., & Kahveci, N. G. (2016). A study on the development of a mathematics creativity scale. Eurasian Journal of Educational Research, 62, 57-76. https://doi.org//10.14689/ejer.2016.62.5
• Alkan, R. (2014). Examining the relationships between general creativity, mathematical creativity and academic achievement [Doctoral dissertation]. Gazi University, Ankara.
• 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
• Bandura, A. (1977). Self-efficacy: toward a unifying theory of behaviour change. Psychological Review, 84(2), 191-215. https://doi.org//10.1037/0033-295X.84.2.191
• Bolden, D. S., Harries, T. V. & Newton, D. P. (2010). Pre-service primary teachers’ conceptions of creativity. Educ Stud Math, 73,144-150. https://doi.org//10.1007/s10649-009-9207-z
• Brown, T. A. (2006). Confirmatory factor analysis for applied research. In David A. Kenny (Eds.), Methodologhy in the Social Sciences (pp. 1-11). Guilford Press.
• Büyüköztürk, S. (2010). Sosyal bilimler için veri analizi el kitabı [Data analysis handbook for social sciences]. Pegem Akademi.
• Carlton, V. L. (1959). An analysis of the educational concepts of fourteen outstanding mathematicians, 1790–1940, in the areas of mental growth and development, creative thinking and symbolism and meaning (Doctoral dissertation). Northwestern University, Illinois.
• Chesimet, M., Githua, B., & Ng’eno, J. (2016). Effects of experiential learning approach on students’mathematical creativity among secondary school students of kericho East Sub-Country. Kenya. Journal of Education and Practice, 7(23), 51-57. https://files.eric.ed.gov/fulltext/EJ1112801.pdf
• Chiu, M. (2009). Approaches to the teaching of creative and non-creative mathematical problems. International Journal of Science and Mathematics Education, 7(1), 55–79. https://doi.org//10.1007/s10763-007-9112-9
• Choi, J. N. (2004). Individual and contextual predictors of creative performance: The mediating role of psychological processes. Creativity Research Journal, 16(2-3),187-199. https://doi.org//10.1080/10400419.2004.9651452
• Cohen, L., & Morrison, K. (2007). Research methods in education. Routledge.
• Creswell, J. W., & Plano Clark, V. L. (2011) Designing and conducting mixed methods research (2nd ed.). Sage Publications.
• Çokluk, Ö., Şekercioğlu, G., & Büyüköztürk, Ş. (2010). Sosyal bilimler için çok değişkenli istatistik: SPSS ve LISREL uygulamaları. Pegem Akademi.
• Davis, L. L. (1992). Instrument review: getting the most from a panel of experts. Applied Nursing Research, 5, 194-197. https://doi.org//10.1016/S0897-1897(05)80008-4
• Dündar, S. (2015). An investigation of mathematics teachers candidates' opinions on mathematical creativity. Ondokuz Mayis University Journal of Faculty of Education, 34(1), 18-34. https://doi.org//10.7822/omuefd.34.1.2
• Field, A. (2009). Discovering statistics using SPSS (3rd ed.). Sage Publication.
• Fornell, C., & Larcker, D. F. (1981). Evaluating structural equation models with unobservable variables and measurement error. Journal of Marketing Research, 18(1), 39–50. https://doi.org//0.1177/002224378101800104
• Ghonsooly, B., & Showqi, S. (2012). The Effects of Foreign Language Learning on Creativity. English Language Teaching, 5(4), 161-167. https://doi.org//10.5539/elt.v5n4p161
• Guilford, J. P. (1973). Characteristics of Creativity. https://eric.ed.gov/?id=ED080171
• Hair, J. F., Jr., Black, W. C., Babin, B. J., Anderson, R. E., & Tatham, R. L. (2014). Multivariate data analysis (7th ed.). Pearson New International Edition.
• Harpen, X., & Sriraman, B. (2012). Creativity and mathematical problem posing: an analysis of high school students' mathematical problem posing in China and the USA. Educ Stud Math, 82, 201-221. https://doi.org//10.1007/s10649-012-9419-5
• Havold, P. (2016). An empirical investigation of a theoretical model for mathematical creativity. The Journal of Creative Behavior, 52(3), 226-239. https://doi.org//10.1002/jocb.145
• Haylock, D. W. (1987). A framework for assessing mathematical creativity in school children. Educational Studies in Mathematics, 18, 59-74. https://www.jstor.org/stable/pdf/3482505.pdf
• He, Y. (2016). Comparisons of cognitive and motivational characteristics in mathematics among high school students in China with different types of giftedness. Unpublished Doctoral Thesis, St. Jhon's University, New York.
• Huang, P. S., Peng, S.-L., Chen, H.-C., & Tseng, L-C. & Hsu, L-C. (2017). The relative influences of domain knowledge and domain-general. Thinking Skills and Creativity, 25, 1-9. https://doi.org//10.1016/j.tsc.2017.06.001
• Isbell, R., & Raines, S. (2013). Creativity and the arts with young children. Cengage Learning.
• Jöreskog, K. G. & Sörbom, D. (1996). Lisrell 8 reference guide. Lincolnwood: Scientific Software International.
• Kavgacı, Y. (2016). Matematik problemi çözme stratejileri öğretimin dokuzuncu sınıf öğrencilerinin yaratıcılık düzeylerinin gelişimine etkisi. Master thesis, Necmettin Erbakan University Institute of Educational Science, Konya.
• Kıymaz Y. (2009). A qualitative study of pre-service secondary mathematics teachers’ mathematical creativity in problem-solving situations [Doctoral dissertation]. Gazi University, Ankara.
• Kline, R. B. (2011). Principles and practice of structural equation modeling (3rd ed.). New York: Guilford Press. Laycock, M. (1970). Creative mathematics at nueva. Arithmetic Teacher, 17, 325-328. https://www.jstor.org/stable/41186201
• Lee, K. S., Hwang, D. J., & Seo, J. J. (2003). A development of the test for mathematical creative problem solving ability. Journal of the Korea Society of Mathematical Education Series:Research in Mathematical Education, 7(3), 163-189. https://www.koreascience.or.kr/article/JAKO200311921974337.pdf
• Leikin, R. (2009). Exploring mathematical creativity using multiple solution tasks. Creativity in mathematics and the education of gifted students, 9, 129-145.
• Leikin, R. (2013). Evaluating mathematical creativity: The interplay between multiplicity and insight. Psychological Test and Assessment Modeling, 55(4), 385-400.
• Leikin, R., & Lev, M. (2013). Mathematical creativity in generally gifted and mathematically excelling adolescents: what makes the difference? Zentralblatt für Didaktik der Mathematik, 45, 183-197. https://doi.org//10.1007/s11858-012-0460-8
• Lin, C-Y (2010). Analyses of attrıbute patterns of creatıve problem solving ability among upper elementary students in Taiwan (Doctoral dissertation). St. John's Unıversity, New York.
• Luria, S. R., Sriraman, B., & Kaufman, J. C. (2017). Enhancing equity in the classroom by teaching for mathematical creativity. ZDM, 49(7), 1033-1039. https://doi.org//10.1007/s11858-017-0892-2
• Mathisen, G. E. (2011). Organizational antecedents of creative self-efficacy. Creativity and Innovation Management, 20(3), 185-195. https://doi.org/10.1111/j.1467-8691.2011.00606.x
• Nadjafikhah, M., Yaftian, N., & Bakhshalizadeh, S. (2012). The frontage of creativity and mathematical creativity. Procedia - Social and Behavioral Sciences, 90, 344-350. https://doi.org//10.1016/j.sbspro.2013.07.101
• Panaoura, A., & Panaoura, G. (2014). Teachers’ awareness of creativity in mathematical teaching and their practice. The Journal, 4, 1-11. https://files.eric.ed.gov/fulltext/EJ1043048.pdf
• Pelczer, I., & Rodriguez, F. G. (2011). Creativity assessment in school settings through problem posing tasks. The Montana Mathematics Enthusiast, 8(1-2), 383-398. https://scholarworks.umt.edu/tme/vol8/iss1/19
• Pham, L. (2014). Validation of predictive relationship of creative problem-solving attributes with math creativity (Doctoral dissertation). https://www.proquest.com/docview/1517984596
• Pitta-Pantazi, D., Sophocleous, P., & Christou, C. (2013). Spatial visualizers, object visualizers and verbalizers: their mathematical creative abilities. Zentralblatt für Didaktik der Mathematik, 45, 199-213. https://doi.org/10.1007/s11858-012-0475-1
• Safitri, I., Wijayanti, P., & Masriyah. (2018). The creativity of prospective teachers in mathematical patterns problem solving based on emotional intelligence. Journal of Physics: Conference Series, 1108, 1-6. https://doi.org/10.1088/1742-6596/1108/1/012116
• Sheffield, L. J. (2008, February 24-28). Questioning mathematical creativity – questions may be the answer. Proceeding of the 5th International Conference on Creativity in Mathematics and the Education of Gifted Students, Haifa, Israel.
• Shen, Y. (2017). Mathematical creativity for the youngest school children: kindergarten tothird grade teachers’ interpretations of what it is and how to promote it. The Mathematics Enthusiast, 14(1), 325-346. https://scholarworks.umt.edu/tme/vol14/iss1/19
• Shoimah, R. N., Lukito, A., & Siswono, T. (2018). The creativity of reflective and impulsive selected students in solving geometric problems. Journal of Physics: Conference Series, 947, 1-6. http://dx.doi.org/10.1088/1742-6596/947/1/012023
• Shriki, A. (2010). Working like real mathematicians: developing prospective teachers’ awareness of mathematical creativity through generating new concepts. Educ Stud Math, 73, 159-179. https://doi.org//10.1007/s10649-009-9212-2
• Silver, E. (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
• Singh, B. (1987). The development of tests to measure mathematical creativity. International Journal of Mathematical Education in Science and Technology, 18(2), 181-186. https://doi.org/10.1080/0020739870180203
• Smith, G. J. (2005). How should creativity be defined?. Creativity Research Journal, 17(2-3), 293-295. https://doi.org/10.1080/10400419.2005.9651487 Sriraman, B. (2009). The characteristics of mathematical creativity. Zentralblatt für Didaktik der Mathematik, 41,13-27 https://doi.org/13-27.10.1007/s11858-008-0114-z Sriraman, B., Haavold, P., & Lee, K. (2013). Mathematical creativity and giftedness: a commentary on and review of theory, new operational views, and ways forward. Zentralblatt für Didaktik der Mathematik, 45, 215-225. https://doi.org/10.1007/s11858-013-0494-6
• Švecová, V., Rumanová, L., & Pavlovičová, G. (2014). Support of pupil’s creative thinking in mathematical education. Procedia - Social and Behavioral Sciences, 116, 1715-1719. https://doi.org/10.1016/j.sbspro.2014.01.461 Tabachnick, B. G., & Fidell, L. S. (2013). Using multivariate statistics (6th ed.). Pearson.
• Tierney, P., & Farmer, S. M. (2002). Creative self-efficacy: its potential antecedents and relationship to creative performance. Academy of Management Journal, 45(6), 1137-1148. https://www.jstor.org/stable/3069429?seq=1#metadata_info_tab_contents
• Torrance, E. P. (1974). A manual for the Torrance tests of creative thinking. Personnel Press.
• Vale, I., Pimente, T., Cabrita, I., & Barbosa, A. (1989). Pattern problem solving tasks as a mean to foster creativity in mathematics. In Tso, T. Y. (Ed.), Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Education (pp.4-171). PME.
• Vernon, P.E. (1989). The Nature-Nurture Problem in Creativity. In: Glover, J.A., Ronning, R.R., Reynolds, C.R. (eds) Handbook of Creativity. Perspectives on Individual Differences. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-5356-1_5
• Wahyudi, Waluya, S. B., Rochmad, & Suyitno, H. (2018). Assimilation and accommodation processes in improving mathematical creative thinking with scaffolding accordingto learning style. ICRIEMS 5, Journal of Physics, Conferance Series, 1097, 1-13. https://doi.org/10.1088/1742-6596/1097/1/012156
• Wessels. (2014). Levels of mathematical creativity in model-eliciting activities. Journal of Mathematical Modelling and Application, 1(9), 22-40. https://bu.furb.br/ojs/index.php/modelling/article/view/4048/2599