Effects of story writing training on development of mathematical problem posing skills

Authors

  • Arzu Cevik Bartin University, Bartin, Turkey
  • Tugba Uygun Alanya Alaaddin Keykubat University, Alanya/Antalya, Turkey

DOI:

https://doi.org/10.17162/au.v13i2.1420

Keywords:

Pedagogy, writing, writing, mathematics, education, Turkey.

Abstract

The purpose of the study is to examine the effects of story writing on preservice primary school teachers’ problem posing skills. This study was designed based on the concurrent triangulation mixed design. In the qualitative part, document analysis was performed by analyzing the problems posed by the participants using Problem Posing Performance Rubric. The qualitative data were analyzed by content analysis in order to design this rubric. The themes identified by the content analysis were clarity, limpidness, unity, story writing style, fiction, elements of story and story arc for Turkish education and problem, sufficiency of information, mathematical appropriateness, pedagogical appropriateness, creativity, relatedness and operational and conceptual equilibrium for mathematical problem. The quantitative part of the study was performed by one-group pretest-posttest design as a kind of weak experimental research design. In this part, the quantitative data collected through the rubric were analyzed through descriptive statistics and paired-samples t-test. 50 participants were conducted to Problem Posing Instrument before and after four-week story writing training. Based on the findings of the current study, it was observed that story writing training improved the preservice primary school teachers’ problem posing skills.

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References

Abu-Elwan, R. (1999). The development of mathematical problem posing skills for prospective middle school teachers. In A. Rogerson (Ed.) Proceedings of the International conference on Mathematical Education into the 21st Century: Social Challenges, Issues and Approaches, (Vol. II, pp. 1-8), Cairo Egypt.

Austin, P., Carbone, E., & Webb, P. (2011). Prospective primary school teachers’ attempts to pose acceptable word problems on the addition of fractions: Some insights from South Africa and the United States of America. African Journal of Research in Mathematics, Science and Technology Education (AJRMSTE), 15 (2), 60-70. doi: 10.1080/10288457.2011.10740710.

Ayllón, M., Gómez, I., & Ballesta-Claver, J. (2016). Mathematical thinking and creativity through mathematical problem posing and solving. Propósitos y representaciones, 4 (1), 169-218. doi: 10.20511/pyr2016.v4n1.89.

Bonotto, C. (2013). Artifacts as sources for problem-posing activities. Educational Studies in Mathematics, 83 (1), 37-55. doi: 10.1007/s10649-012-9441-7.

Brown, S. I., & Walter, M. I. (1983). The “What-if-not” strategy in action. In S. I. Brown, & M. I. Walter (Eds.), The art of problem posing (pp. 63-105). Philadelphia, PA: Franklin Institute Press.

Brown, S. I., & Walter, M.I. (1990). The Art of Problem Posing (2nd ed.). L. Erlbaum Associates, Hillsdale.

Burton, L. J. (2002). An Interactive Approach to Writing Essays and Research Reports in Psychology. Queensland: John Wiley and Sons Australia, Ltd.

Can, E. & Topçuoğlu-Ünal, F. (2019). Öyküleyici metin türünde yazma becerisini geliştirmeye yönelik bir uygulama: Kurgu Merdiveni (An application to improve writing skills in narrative text: Fiction Ladder). Ana Dili Eğitimi Dergisi, 7 (1), 190-204.

Cai, J., & Hwang, S. (2019). Learning to teach through mathematical problem posing: Theoretical considerations, methodology, and directions for future research. International Journal of Educational Research, 102 (8), 101391. doi: 10.1016/j.ijer.2019.01.001.

Cai, J., Hwang, S., Jiang, C., & Silber, S. (2015). Problem-posing research in mathematics education: 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). Springer New York.

Carlson, M., & Bloom, I. (2005). The cyclic nature of problem solving: An emergent multidimensional problem-solving framework. Educational Studies in Mathematics, 58, 45-75. https://link.springer.com/article/10.1007/s10649-005-0808-x.

Crespo, S., & Sinclair, N. (2008). What makes a problem mathematically interesting? Inviting prospective teachers to pose better problems. Journal of Mathematics Teacher Education, 11 (5), 395-415. doi: 10.1007/s10857-008-9081-0.

Creswell, J. W. (2003). Research design: Qualitative, quantitative, and mixed methods approach. (2nd ed.) Thousand Oaks: Sage.

Doyle, W. (1983). Academic work. Review of Educational Research, 53, 159–199. doi: 10.3102/00346543053002159.

Einstein, A., & Infeld, L. (1938). The evolution of physics. New York: Simon & Schuster.

Ellerton, N. F. (2013). Engaging pre-service middle-school teacher-education students in mathematical problem posing: Development of an active learning framework. Educational Studies in Mathematics, 83, 87–101. doi: 10.1007/s10649-012-9449-z.

Franz, D. P. , & Pope, M. (2005). Using children’s stories in secondary mathematics. American Secondary Education, 33 (2), 20-28. https://www.jstor.org/stable/41064610.

Goodrich-Andrade, H. (2000). Using rubrics to promote thinking and learning. Educational Leadership, 57 (5), 13-18. https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.452.5684&rep=rep1&type=pdf.

Goral, M. B., & Gnadinger, C.M. (2006). Using storytelling to teach mathematics concepts. Australian Primary Mathematics Classroom, 11 (1), 4-8. https:// doi/abs/10.3316/informit.157460961126079.

Greenes, C., Ginsburg, H., & Balfanz, R. (2004). Big maths for little kids. Early Childhood Research Quarterly, 19 (1), 159–166. doi: 10.1016/j.ecresq.2004.01.010.

Gürel, Z., Temizyürek, F. & Şahbaz, N. K. (2007). Çocuk edebiyatı (Child literature). Öncü Kitap: Ankara.

Isik, C., & Kar, T. (2012). The analysis of the problems the pre-service teachers experience in posing problems about equations. Australian Journal of Teacher Education, 37 (9), 93-113.

Kılıç, Ç. (2013). Pre-service primary teachers’ free problem posing performances in the context of fractions: An example from Turkey. The Asia Pacific Education Researcher, 22 (4), 677–686. doi: 10.1007/s40299-013-0073-1.

Lowrie, T. (2002). Designing a Framework for Problem Posing: young children generating open-ended tasks. Contemporary Issues in Early Childhood, 3 (3), 354-364. doi: 10.2304/ciec.2002.3.3.4.

Miles, M. B., & Huberman, M. A. (1994). An expanded sourcebook qualitative data analysis. London: Sage.

Murphy, S.J. (1999). Learning math through stories. School Library Journal, 45 (3), 122-123.

NCTM [National Council of Teachers of Mathematics]. (1991). Curriculum and Evaluation Standarts for School mathematics. Reston, VA: Author.

NCTM. (2000). Principles and standards for school mathematics. Reston, VA: Author.

Olson, J. C., & Knott, L. (2013). When a problem is more than a teacher’s question. Educational Studies in Mathematics, 83, 27–36. doi: 10.1007/s10649-012-9444-4.

Polya, G. (1957). How to Solve It? (2nd ed.). Princeton: Princeton University Press.

Rizvi, N. F. (2004). Prospective teachers’ ability to pose word problems. International Journal for Mathematics Teaching and Learning, 12, 1–22. https://ecommons.aku.edu/pakistan_ied_pdck/49.

Sever, S. (2010). Çocuk ve edebiyat. Tudem Yayıncılık: İzmir.

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. doi: 10.1080/0020739X.2016.1232843.

Silver, E. A. (1994). On mathematical problem posing. For the Learning of Mathematics, 14 (1), 19-28. https://www.jstor.org/stable/40248099.

Silver, E. A. (1997). Fostering creativity through instruction rich in mathematical problem solving and problem posing. ZDM, 29 (3), 75-80.

Silver, E. A., & Cai, J. (1996). An analysis of arithmetic problem posing by middle school students. Journal for Research in Mathematics Education, 27, 521-593. doi: 10.5951/jresematheduc.27.5.0521.

Silver, E. A., Mamona-Downs, J., Leung, S., & Kenney, P. A. (1996). Posing mathematical problems: An exploratory study. Journal for Research in Mathematics Education, 27 (3), 293–309. doi: 10.5951/jresematheduc.27.3.0293.

Singer, F. M., Ellerton, N., & Cai, J. (2013). Problem-posing research in mathematics education: New questions and directions. Educational Studies in Mathematics, 83, 1–7. doi: 10.1007/s10649-013-9478-2.

Singer, F. M., Ellerton, N. F., & Cai, J. (2015). Mathematical problem posing: From research to effective practice. New York: Springer.

Stein, M. K., Grover, B. W., & Henningsen, M. (1996). Building student capacity for mathematical thinking and reasoning: An analysis of mathematical tasks used in reform classrooms. American Educational Research Journal, 33 (2), 455-488. doi: 10.3102/00028312033002455.

Stein, M. K., Smith, M. S., Henningsen, M. A., & Silver, E. A. (2000). Implementing standard based mathematics instruction. NY: Teachers College Press.

Stickles, P. R. (2006). An analysis of secondary and middle school teacher’s mathematical problem posing. Unpublished doctoral dissertation.

Stoyanova, E. (2003). Extending students’ understanding of mathematics via problem-posing. Australian Mathematics Teacher, 59 (2), 32–40.

Şirin, M. R. (2000). Çocuk Edebiyatı (Child literature). Çouk Vakfı Yayınları: İstanbul.

Temizkan, M. (2014). Yaratıcı yazma süreci (Creative writing process). Pegem Akademi: Ankara.

Tichá, M., & Hošpesová, A. (2013). Developing teachers’ subject didactic competence through problem posing. Educational Studies in Mathematics, 83, 133–143. doi: 10.1007/s10649-012-9455-1.

Toluk-Uçar, Z. (2009). Developing pre-service teachers understanding of fractions through problem posing. Teaching and Teacher Education, 25 (1), 166–175. doi: 10.1016/j.tate.2008.08.003.

Vacc, N. (1993). Questioning in the mathematics classroom. Arithmetic Teacher, 41 (2), 88–91.

Van Harpen, X. Y., & Presmeg, N. C. (2013). An investigation of relationships between students’ mathematical problem-posing abilities and their mathematical content knowledge. Educational Studies in Mathematics, 83 (1), 117–132. doi: 10.1007/s10649-012-9456-0.

Whitin, D. J. (1992). Explore mathematics through children's literature. School Library Journal, 38 (8), 24-28.

Xie, J., & Masingila, J. O. (2017). Examining interactions between problem posing and problem solving with prospective primary teachers: A case of using fractions. Educational Studies in Mathematics, 96, 101–118. doi: 10.1007/s10649-017-9760-9.

Yoon, K. S., Duncan, T., Lee, S. W. Y., Scarloss, B., & Shapley, K. (2007). Reviewing the evidence on how teacher professional development affects student achievement (Issues and Answers Report, REL 2007 No. 033). Washington, DC: U.S. Department of Education, Regional Educational Laboratory Southwest.

Published

2023-03-01

How to Cite

Cevik, A. ., & Uygun, T. . (2023). Effects of story writing training on development of mathematical problem posing skills. Apuntes Universitarios, 13(2), 38–60. https://doi.org/10.17162/au.v13i2.1420