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Journals / Osmangazi Journal of Educational Research / 2018 / Cilt: 5 - Sayı: 2

Are Pre-service Elementary Teachers able to Pose Problems for the Subtraction of Fractions?

Sümeyra DOĞAN COŞKUN
Pages
94–105
Publication Date
2018-10-01
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

It was found that the two most common errors were failing to include subtraction in the question root and expressing the subtrahend fraction as a certain amount of the minuend fraction.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The purpose of this study is to examine whether or not pre-service elementary teachers are able to pose appropriate problems for the subtraction of fractions, if not, to determine the types of errors made in their posed problems.
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Key Findings & Data:A qualitative research method was used in this study and the data were collected from 83 pre-service elementary teachers in the spring 2017 academic semester of a public university in Turkey using a Problem Posing Test.
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Conclusion & Impact:It was found that the two most common errors were failing to include subtraction in the question root and expressing the subtrahend fraction as a certain amount of the minuend fraction.
🔬Design:Research Article
📍Scope:2017 Verileri
⚙️Variables:Error types · fractions · problem posing

Abstract

The purpose of this study is to examine whether or not pre-service elementary teachers are able to pose appropriate problems for the subtraction of fractions, if not, to determine the types of errors made in their posed problems. A qualitative research method was used in this study and the data were collected from 83 pre-service elementary teachers in the spring 2017 academic semester of a public university in Turkey using a Problem Posing Test. The test consisted of four items related to the subtraction of fractions given in number sentences. Findings showed that most of the pre-service elementary teachers could not appropriately pose problems and made distinct types of errors. It was found that the two most common errors were failing to include subtraction in the question root and expressing the subtrahend fraction as a certain amount of the minuend fraction. Teacher educators can integrate problem posing activities in their courses to give pre-service teachers opportunities to pose problems

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Cite This Article

COŞKUN, S. D. (2018). Are Pre-service Elementary Teachers able to Pose Problems for the Subtraction of Fractions?. Osmangazi Journal of Educational Research, Cilt: 5 - Sayı: 2, 94–105. https://ajindex.com/articles/794797

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References (13)

  1. Abu-Elwan, R. (2002). Effectiveness of problem posing strategies on prospective mathematics teachers’ problem solving performance. Journal of Science and Mathematics Education, 25(1), 56-69.
  2. Bailey, D. H., Hoard, M. K., Nugent, L., & Geary, D. C. (2012). Competence with fractions predicts gains in mathematics achievement. Journal of Experimental Child Psychology, 113(3), 447-455.
  3. Barlow, A. T., & Cates, J. M. (2006). The impact of problem posing on elementary teachers’ beliefs about mathematics and mathematics teaching. School Science and Mathematics, 106(2), 64–73.
  4. Brown, S. I., & Walter, M. I. (1993). Problem posing: Reflection and application. Hillsdale, NJ: Erlbaum. Brown, S. I., & Walter, M. I. (2005).
  5. The art of problem posing. Mahwah, NJ: Lawrence Erlbaum. Carraher, D. W. (1996). Learning about fractions. In L. P. Steffe and P. Nesher, (Eds.), Theories of Mathematical Learning (pp. 241–266).
  6. Mahwah, NJ: Lawrence Erlbaum. Cathcart, W. G., Pothier, V. M., Vance, T. H., & Bezuk, N. S. (2003). Learning mathematics in elementary and middle schools. (3rd Ed.) River, N.J: Merrill/Prentice Hall. Charalambous, C. Y. (2007). Developing and testing a scale for measuring students’ understanding of fractions. Proceedings of the 31st Conference of the International Group for the Psychology of Mathematics Education 2, 105-112.
  7. Charalambous, C. Y., & Pitta-Pantazi, D. (2006). Drawing on a theoretical model to study students’ understandings of fractions. Educational Studies in Mathematics, 64(3), 293-316.
  8. Christou, C., Mousoulides, N., Pittalis, M., Pitta-Pantazi, D., & Sriraman, B. (2005). An empirical taxonomy of problem posing process. ZDM-The International Journal on Mathematics Education, 37(3), 149-158.
  9. 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.
  10. Hecht, S. A. (1998). Toward an information-processing account of individual differences in fraction skills. Journal of Educational Psychology, 90(3), 545-559.
  11. Johnston, J., & Ahtee, M. (2006). Comparing primary student teachers’ attitudes, subject knowledge and pedagogical content knowledge needs in a physics activity. Teaching and Teacher Education, 22(4), 503-512.
  12. Kar, T., & Isik, C. (2014). Analyzing problems posed by seventh grade middle school students for subtraction operation with fractions. Elementary Education Online, 13(4), 1223-1239.
  13. Kieren, T. E. (1993). R