Examining primary school students’ performance in solving problems requiring realistic considerations

Çiğdem Kılıç, Nihan Şahinkaya

Abstract


Problem-solving is a very important topic in mathematics education. There are various types of problems in the literature. One of them is non-standard word problems. The main purpose of this study is to examine the problems faced by primary school fourth-grade students in solving non-standard word problems. For this purpose, a problem-solving questionnaire consisting of a total of four questions was applied to 250 primary school fourth-grade students and the students' answers were examined in detail. It was determined that the percentage of correct answers given by the students to the problems varied depending on the nature of the problems. In general, it was concluded that although the students chose the correct mathematical operations for the solutions, they did not use real-life knowledge in solving the problems and therefore their results were not realistic and correct. Therefore, it was observed that non-standard problem-solving activities that require the use of real-life knowledge should be included more in classrooms.

Keywords


Problem-solving; Primary school; Non-standard word problems; Real-life knowledge;

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References


Aladağ, A. & Artut, P. D. 2012. Öğrencilerin orantısal akıl yürütme ve gerçekçi problem çözme becerilerinin incelenmesi. İlköğretim Online, 11(4), 995-1009.

Artut, P. D. and Tarım, K. 2009. Öğretmen adaylarının rutin olmayan sözel problemleri çözme süreçlerinin incelenmesi. Uludag University Education Faculty Journal 12, no.1: 53-70.

Bayazit, İ. 2013. İlköğretim 7. ve 8. sınıf öğrencilerinin gerçek-yaşam problemlerini çözerken sergiledikleri yaklaşımlar ve kullandıkları strateji ve modellerin incelenmesi. Kuram ve Uygulamada Eğitim Bilimleri, 13(3), 1903-1927.

Çelik, D. & Güler, M. 2013. İlköğretim 6. sınıf öğrencilerinin gerçek yaşam problemlerini çözme becerilerinin incelenmesi. Dicle Üniversitesi Ziya Gökalp Eğitim Fakültesi Dergisi, 20, 180-195.

Chapman, O. 2003. Teachers' conceptions of mathematical word problems: A Basis for professional development. Paper presented at the 27th international group for the psychology of mathematics education conference held Jointly with the 25th PME-NA conference, July 13-18, in Honolulu, USA.

Cooper, B. & Harries, T. 2005. Making sense of realistic word problems: portraying working class ‘failure’ on a division with remainder problems. International Journal of Research & Method in Education, 28:2, 147-169.

Cotič, M. & Felda, D. 2011. Solving realistic problems in the initial instruction of mathematics, Metodički obzori, 49-61.

Greer, B. 1993. The modelling perspective on wor(l)d problems. Journal of Mathematical Behavior, 12: 239-250.

Hatano, G. 1997. Commentary cost and benefit of modelling activity. Learning and Instruction 7 (4): 383-387.

Hong, E. 1995. Preservice elementary teachers' conceptions about teaching word problem solving: The effect of methods instruction. Paper presented at the annual meeting of the American Educational Research Association in San Francisco, California.

Inoue, N. 2005. The realistic reasons behind unrealistic solutions: The role of interpretive activity in word problem solving. Learning and Instruction, 15:69-83.

Jiménez, L. &Verschaffel, L. 2014. Development of children’s solutions of non-standard arithmetic word problem solving. Revista de Psicodidáctica, 19(1): 93-123.

Krawitz, J., Schukajlow, S. & Van Dooren, W. 2018. Unrealistic responses to realistic problems with missing information: what are important barriers?, Educational Psychology, 38(10): 1221-1238.

Olkun, S., Şahin, Ö., Akkurt Z., Dikkartın F. T. and Gülbağcı H. 2009. Modelleme yoluyla problem çözme ve genelleme: İlköğretim öğrencileriyle bir çalışma. Eğitim ve Bilim, 34 (151):65-73.

Öktem, S.,P. 2009. İlköğretim ikinci kademe öğrencilerinin gerçekçi cevap gerektiren matematiksel sözel problemleri çözme becerileri. Unpublished master thesis. Çukurova University

Palm, T. 2008. Impact of authenticity on sense making in word problem solving. Educational Studies in Mathematics, 67(1), 37-58

Reusser, K., & Stebler, R. 1997. Every word problem has a solution – The social rationality of mathematical modelling in schools. Learning and Instruction, 7, 309-327.

Schoenfeld, A. 1991. On mathematics as sense-making: An informal attack on the unfortunate divorce of formal and informal mathematics. Informal reasoning and education, ed. J. Voss, D. Perkins and J. Segal., 311-343. Hillsdale, NJ, USA:Lawrence Erlbaum Associates

Tarım, K.& Öktem, S.P. 2014. Mathematical word-problems that require realistic answer. Çukurova Üniversitesi Eğitim Fakültesi Dergisi, 43(2), 19-38.

Van Dooren, W., Lem, S., De Wortelaer, H. & Verschaffel, L. 2019. Improving realistic word problem solving by using humor. The Journal of Mathematical Behavior, 53, 96-104.

Verschaffel, L., De Corte, E., & Lasure, S. 1994. Realistic considerations in mathematical modelling of school arithmetic word problems. Learning and Instruction, 4, 273-294.

Verschaffel, L., De Corte,E., & Borghart, I. 1997. Pre-service teachers’ conceptions and beliefs about the role of real-world knowledge in mathematical modelling of school word problems. Learning and Instruction, 7(4): 339-359.

Wyndhamn, J. and Saljö, R. 1997. Word problems and mathematical reasoning. A study of children’s mastery of reference and meaning in textual realities. Learning and Instruction, 7(4):361-382.

Xin, Z. Lin, C. Zhang, L. & Yan, R. 2007. The performance of Chinese primary school students on realistic arithmetic word problems, Educational Psychology in Practice, 23:2, 145-159.

Yoshida, H., Verschaffel, L., & De Corte, E. 1997. Realistic considerations in solving problematic word problems: Do Japanese and Belgian children have the same difficulties? Learning and Instruction, 7(4), 329-338.




DOI: https://doi.org/10.29103/mjml.v5i1.7191

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