Problem-Posing Skills and Thinking Styles of Preservice Teachers
Yıl: 2021 Cilt: 18 Sayı: 2 Sayfa Aralığı: 254 - 277 Metin Dili: İngilizce DOI: 10.5152/hayef.2021.21003 İndeks Tarihi: 04-10-2021
Problem-Posing Skills and Thinking Styles of Preservice Teachers
Öz: The purpose of this study was to investigate the problem-posing skills of preservice teachers and to examine the relationshipbetween their problem-posing skills, thinking styles, and academic achievement. A total of 32 senior preservice middleschool mathematics teachers posed a problem, and they completed the thinking style inventory. A rubric for evaluationof problem-posing skills was used to analyze the problems with a qualitative approach. It was found that the problemposing skills of preservice teachers were high, but they were set to pose routine problems. It was found that there was nosignificant relationship not only between problem-posing skills and thinking styles but also between academic achievementand problem-posing skills of preservice teachers. The findings also showed that academic achievement was significantly,positively, and moderately related to executive, hierarchical, and internal thinking styles, whereas it was significantly,negatively, and moderately related to external thinking style.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- Akay, H., & Boz, N. (2009). The effect of problem-posing oriented calculus-II instruction on academic success. Research in Mathematical Education, 13(2), 75-90.
- Altun, M. (2014). Matematik öğretimi [Teaching mathematics] (10. Ed.). Bursa: Aktüel.
- Bernardo, A. B., Zhang, L. F., & Callueng, C. M. (2002). Thinking styles and academic achievement among Filipino students. The Journal of Genetic Psychology, 163, 149–163. [Crossref]
- Bonotto, C. (2013). Artifacts as sources for problem-posing activities. Educational studies in Mathematics, 83(1), 37-55. [Crossref]
- Buluş, M. (2006). Assessment of thinking styles inventory, academic achievement and student teachers’ characteristics. Education and Science, 31(139), 35-48.
- Cai, J. (1998). An investigation of US and Chinese students’ mathematical problem-posing and problem-solving. Mathematics Education Research Journal, 10(1), 37-50. [Crossref]
- Cai, J. (2003). Singaporean students’ mathematical thinking in problem-solving and problem-posing: An exploratory study. International Journal of Mathematical Education in Science and Technology, 34(5), 719-737. [Crossref]
- Cai, J., & Hwang, S. (2002). Generalized and generative thinking in U.S. and Chinese students’ mathematical problem solving and problem-posing. The Journal of Mathematical Behavior, 21, 401–421. [Crossref]
- Cai, J., Hwang, S., Jiang, C., & Silber, S. (2015). Problem-posing research in mathematics: Some answered and unanswered questions. In F. M. Singer, N. Ellerton, & J. Cai (Eds.), Mathematical problem-posing: From research to effective practice (pp. 3–34). New York, NY: Springer. [Crossref]
- Cai, J., Moyer, J. C., Wang, N., Hwang, S., Nie, B., & Garber, T. (2013). Mathematical problem-posing as a measure of curricular effect on students’ learning. Educational Studies in Mathematics, 83, 57-69. [Crossref]
- Cano-Garcia, F., & Hughes, E. H. (2000). Learning and thinking styles: An analysis of their interrelationship and influence on academic achievement. Educational Psychology, 20, 413-430. [Crossref]
- Chang, K. E., Wu, L. J., Weng, S. E., & Sung, Y. T. (2012). Embedding game-based problem-solving phase into problem-posing system for mathematics learning. Computers & Education, 58(2), 775-786. [Crossref]
- Christou, C., Mousoulides, N., Pittalis, M., Pitta-Pantazi, D., & Sriraman, B. (2005). An empirical taxonomy of problem-posing processes. Zdm, 37(3), 149-158. [Crossref]
- Crespo, S. (2003). Learning to pose mathematical problems: Exploring changes in preservice teachers’ practices. Educational Studies in Mathematics, 52, 243-270. [Crossref]
- Crespo, S., & Sinclair, N. (2008). What makes a problem mathematically interesting? Inviting prospective teachers to pose better problems. Journal of Mathematics Teacher Education, 11, 395-415. [Crossref]
- Creswell, J. W. (2013). Qualitative research design. Choosing among five approaches. 3rd ed. Los Angeles (CA): Sage.
- Çatalbaş, E. (2006). The relation between academic success and lesson manner of thinking style of highs school students. Unpublished Master Dissertation. Selçuk University, Konya.
- Çubukçu, Z. (2004). Determine the thinking styles of teacher candidates. Trakya University Journal of Social Sciences, 6(2), 87-106.
- Dickerson, V. M. (1999). The impact of problem-posing instruction on the mathematical problem solving achievement of seventh graders. (Unpublished doctoral dissertation). University of Emory, Atlanta.
- Duman, B & Çelik, Ö. (2011). The relationship between the elementary school teachers’ thinking styles and the teaching methods they use. Elementary Education Online, 10(2), 785-797.
- Ellerton, N. F. (1986). Children’s made-up mathematics problems-a new perspective on talented mathematicians. Educational Studies in Mathematics, 17(3), 261–271. [Crossref]
- Fer, S. (2005). Validity and reliability of the thinking styles inventory. Educational Sciences: Theory & Practice, 5(1), 55-68.
- Gonzales, N. A. (1994). Problem-posing: A neglected component in mathematics courses for prospective elementary and middle school teachers. School Science and Mathematics, 94(2), 78-84. [Crossref]
- Gray, E. M., & Pitta-Pantazi, D. (2006). Frames of reference and achievement in elementary arithmetic. The Montana Mathematics Enthusiast, 3(2), 194-222.
- Grigorenko, E. L., & Sternberg, R. J. (1997). Styles of thinking, abilities, and academic performance. Exceptional Children, 63(3), 295-312. [Crossref]
- Hospesova, A., & Ticha, M. (2015). Problem-posing in primary school teacher training. In Mathematical problem-posing (pp. 433-447). Springer, New York, NY. [Crossref]
- Kaberman, Z. & Dori, Y. J. (2009). Metacognition in chemical education: Question posing in the case-based computerized learning environment. Instruction Science, 37, 403–436. [Crossref]
- Kar, T. (2015). Analysis of problems posed by sixth-grade middle school students for the addition of fractions in terms of semantic structures. International Journal of Mathematical Education in Science and Technology, 46(6), 879–894. [Crossref]
- Kilpatrick, J. (1987). Problem formulating: where do good problems come from? In A. H. Schoenfeld (Ed.), Cognitive science and mathematics education (pp. 123–147). Hillsdale, NJ: Lawrence Erlbaum.
- Korkmaz, E., & Gür, H. (2006). Determining of prospective teachers’ problem-posing skills. Balıkesir University Science Institute Journal, 8(1), 64-74.
- Kulm, G. (1994). Mathematics assessment: What works in the classroom. San Francisco, CA: Jossey Bass Inc.
- Lee, S. Y. (2020). Research status of mathematical problem-posing in mathematics education journals. International Journal of Science and Mathematics Education, 1-17. [Crossref]
- Leung, S. S. (2013). Teachers implementing mathematical problem-posing in the classroom: Challenges and strategies. Educational Studies in Mathematics, 83(1), 103–116. [Crossref]
- Li, X., Song, N., Hwang, S., & Cai, J. (2020). Learning to teach mathematics through problem-posing: teachers’ beliefs and performance on problem-posing. Educational Studies in Mathematics, 1-23. [Crossref]
- McDonald, P. A., & Smith, J. M. (2020). Improving mathematical learning in Scotland’s curriculum for excellence through problem-posing: an integrative review. The Curriculum Journal, 31(3), 398-435. [Crossref]
- Ministry of National Education [MoNE] (2018). Matematik öğretim programı (1-8) [Mathematics teaching program (1-8)]. Ankara: MEB.
- Moutsios-Rentzos, A., & Simpson, A. (2010). The thinking styles of university mathematics students. Acta didactica Napocensia, 3(4), 1-10.
- National Council of Teachers of Mathematics [NCTM] (1991). Professional standards for teaching mathematics. Reston, VA: Author.
- National Council of Teachers of Mathematics [NCTM] (2000). Principles and standards for school mathematics. Reston: Author.
- Nicolaou, A. A., & Philippou, G. N. (2007). Efficacy beliefs, problem-posing, and mathematics achievement. Focus on Learning Problems in Mathematics, 29(4), 48-70.
- Osana, H. P., & Royea, D. A. (2011). Obstacles and challenges in preservice teachers’ explorations with fractions: A view from a small-scale intervention study. The Journal of Mathematical Behavior, 30(4), 333–352. [Crossref]
- Özbaş, N., & Sağır, Ş. U. (2014). The investigation of relationship between elementary school teachers‟ thinking styles and assessment-evaluation methods. Ondokuz Mayıs University Journal of Education Faculty, 33(1), 305-321.
- Özgen, K., Aydın, M., Geçici, M. E., & Bayram, B. (2017). Investigation of problem-posing skills of eighth grade students in terms of some variables. Turkish Journal of Computer and Mathematics Education, 8(2), 323-351. [Crossref]
- Özgen, K., Aydın, M., Geçici, M. E., & Bayram, N. (2019). An Investigation of eighth grade students’ skills in different problem-posing types. International Journal for Mathematics Teaching and Learning, 20(1), 106-130.
- Polya, G. (1957). How to solve it (2nd ed). New York: Doubleday Anchor.
- Schoenfeld, A. H. (1989). Teaching mathematical thinking and problem solving. In L. B. Resnick & L. E. Klopfer (Eds.), Toward the thinking curriculum: current cognitive research (pp. 83–103). Alexandria, VA: Association for Supervision and Curriculum Development.
- Silber, S., & Cai, J. (2017). Pre-service teachers’ free and structured mathematical problem-posing. International Journal of Mathematical Education in Science and Technology, 48(2), 163-184. [Crossref]
- Silver, E. A. (1994). On mathematical problem-posing. For the Learning of Mathematics, 14(1), 19-28.
- Silver, E. A. (2013). Problem-posing research in mathematics education: looking back, looking around, and looking ahead. Educational Studies in Mathematics, 83(1), 157–162. [Crossref]
- Silver, E. A., & Cai, J. (1996). An analysis of arithmetic problem-posing by middle school. Journal for Research in Mathematics Education, 27, 521-539. [Crossref]
- Singer, F. M., Ellerton, N., & Cai, J. (Eds.). (2015). Mathematical problem-posing: From research to effective practice. New York, NY: Springer. [Crossref]
- Sternberg, R. J. (1997). Thinking styles. New York: Cambridge University Press. [Crossref]
- Sternberg, R. J., & Wagner, R. K. (1992). Thinking Styles Inventory. Unpublished test, Yale University. [Crossref]
- Sternberg, R. J., & Grigorenko, E. L. (1995). Styles of thinking in the school. European Journal for High Ability, 6, 201-219. [Crossref]
- Sternberg, R. J., & Grigorenko, E. L. (1997). Are cognitive styles still in style?. American Psychologist, 52(7), 700-712. [Crossref]
- Stickles, P. (2011). An analysis of secondary and middle school teachers’ mathematical problem-posing. Investigations in Mathematics Learning, 3(2), 1-34. [Crossref]
- Stoyanova, E., & Ellerton, N. F. (1996). A framework for research into students’ problem-posing in school mathematics. In P. C. Clarkson (Ed.), Technology in mathematics education (pp. 518– 525). Mathematics Education Research Group of Australasia. The University of Melbourne: Australia.
- Tertemiz, N. I., & Sulak, S. E. (2013). The examination of the fifth-grade students’ problem-posing skills. Elementary Education Online, 12(3), 713-729.
- Toluk-Ucar, Z. (2009). Developing pre-service teachers understanding of fractions through problem-posing. Teaching and Teacher Education, 25, 166-175. [Crossref]
- Uyanık, N. (2017). An investigation on the relationship between education faculty students’ thinking styles and their need for cognition. (Unpublished Master dissertation). Gaziantep University, Gaziantep.
- Yu, T. M., & Zhu, C. (2011). Relationship between teachers’ preferred teacher-student interpersonal behaviour and intellectual styles. Educational Psychology, 31, 301-317. [Crossref]
- Zhang, L. F. (2000). Relationship between thinking styles inventory and study process questionnaire. Personality and Individual Differences, 29, 841-885. [Crossref]
- Zhang, L-F. (2001a). Do styles of thinking matter among Hong Kong secondary school students? Personality and Individual Differences, 31, 289-301. [Crossref]
- Zhang, L-F. (2001b). Do thinking styles contribute to academic achievement beyond self-rated abilities? The Journal of Psychology, 135(6), 621-637. [Crossref]
- Zhang, L. F. (2002a). Thinking styles and big five personality traits. Educational Psychology, 22, 17-31. [Crossref]
- Zhang, L. F. (2002b). Thinking styles: their relationships with modes of thinking and academic performance. Educational Psychology, 22, 331-347. [Crossref]
- Zhang, L. F. (2002c). Thinking styles: Their relationships with modes of thinking and academic performance. Educalional Psychology, 22(3), 331-348. [Crossref]
- Zhang, L. F. (2003). Contributions of thinking styles to critical thinking dispositions. The Journal of Psychology, 137(6), 517-544. [Crossref]
- Zhang, L. F. (2004). Do university students’ thinking styles matter in their preferred teaching approaches? Personality and Individual Differences, 37(8), 1551–1564. [Crossref]
- Zhang, L. F. (2008). Teachers’ styles of thinking: An exploratory study. The Journal of Psychology, 142(1), 37-55. [Crossref]
- Zhang, L. F., & Sternberg, R. J. (1998). Thinking styles, abilities, and academic achievement among Hong Kong university students. Educational Research Journal, 13, 41-62.
- Zhang, L. F., & Sternberg, R. J. (2000). Are learning approaches and thinking styles related? A study in two Chinese populations. Journal of Psychology, 134, 469-489. [Crossref]
- Zhang, L. F., & Sternberg, R. J. (2002). Thinking styles and teachers’ characteristics. International Journal of Psychology, 37(1), 3-12. [Crossref]
- Zhu, C. (2011). Thinking styles and conceptions of creativity among university students. Educational Psychology, 31(3), 361-375. [Crossref]
| APA | Güner P (2021). Problem-Posing Skills and Thinking Styles of Preservice Teachers. , 254 - 277. 10.5152/hayef.2021.21003 |
| Chicago | Güner Pınar Problem-Posing Skills and Thinking Styles of Preservice Teachers. (2021): 254 - 277. 10.5152/hayef.2021.21003 |
| MLA | Güner Pınar Problem-Posing Skills and Thinking Styles of Preservice Teachers. , 2021, ss.254 - 277. 10.5152/hayef.2021.21003 |
| AMA | Güner P Problem-Posing Skills and Thinking Styles of Preservice Teachers. . 2021; 254 - 277. 10.5152/hayef.2021.21003 |
| Vancouver | Güner P Problem-Posing Skills and Thinking Styles of Preservice Teachers. . 2021; 254 - 277. 10.5152/hayef.2021.21003 |
| IEEE | Güner P "Problem-Posing Skills and Thinking Styles of Preservice Teachers." , ss.254 - 277, 2021. 10.5152/hayef.2021.21003 |
| ISNAD | Güner, Pınar. "Problem-Posing Skills and Thinking Styles of Preservice Teachers". (2021), 254-277. https://doi.org/10.5152/hayef.2021.21003 |
| APA | Güner P (2021). Problem-Posing Skills and Thinking Styles of Preservice Teachers. Hayef:journal of education (Online), 18(2), 254 - 277. 10.5152/hayef.2021.21003 |
| Chicago | Güner Pınar Problem-Posing Skills and Thinking Styles of Preservice Teachers. Hayef:journal of education (Online) 18, no.2 (2021): 254 - 277. 10.5152/hayef.2021.21003 |
| MLA | Güner Pınar Problem-Posing Skills and Thinking Styles of Preservice Teachers. Hayef:journal of education (Online), vol.18, no.2, 2021, ss.254 - 277. 10.5152/hayef.2021.21003 |
| AMA | Güner P Problem-Posing Skills and Thinking Styles of Preservice Teachers. Hayef:journal of education (Online). 2021; 18(2): 254 - 277. 10.5152/hayef.2021.21003 |
| Vancouver | Güner P Problem-Posing Skills and Thinking Styles of Preservice Teachers. Hayef:journal of education (Online). 2021; 18(2): 254 - 277. 10.5152/hayef.2021.21003 |
| IEEE | Güner P "Problem-Posing Skills and Thinking Styles of Preservice Teachers." Hayef:journal of education (Online), 18, ss.254 - 277, 2021. 10.5152/hayef.2021.21003 |
| ISNAD | Güner, Pınar. "Problem-Posing Skills and Thinking Styles of Preservice Teachers". Hayef:journal of education (Online) 18/2 (2021), 254-277. https://doi.org/10.5152/hayef.2021.21003 |
