Dergiler / IOJET / 2022 / Cilt: 9 - Sayı: 2

INVESTIGATION OF THE WAYS PROSPECTIVE MATHEMATICS TEACHERS RESPOND TO STUDENTS’ ERRORS: AN EXAMPLE OF THE EQUAL SIGN

Dergi
IOJET
Sayfa
723–739
Yayın Tarihi
2022-10-18
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

This study suggests that mathematics educators should create appropriate learning opportunities to improve prospective teachers’ understanding of the equal sign and their ability to respond to students’ errors.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This study aims to determine how prospective middle school mathematics teachers respond to students’ errors in the questions about the equal sign.
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Temel Bulgular & Veri:This study utilizes case study method.
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Sonuç & Katkı:This study suggests that mathematics educators should create appropriate learning opportunities to improve prospective teachers’ understanding of the equal sign and their ability to respond to students’ errors.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

This study aims to determine how prospective middle school mathematics teachers respond to students’ errors in the questions about the equal sign. This study utilizes case study method. In this case study, hypothetical scenarios, involving three common error types related to the equal sign, have been prepared by using the possible examples of student work. Through these scenarios, one-to-one interviews were conducted with seven prospective middle school mathematics teachers. In line with the data obtained in these interviews, it was seen that the prospective teachers used seven different ways to respond to students’ errors related to the equal sign: showing the error, showing the right solution, guiding to find the right answer, guiding to find the error, re-explaining the concept, in-depth research, and false intervention. In addition, it was determined that two prospective teachers intervened incorrectly by taking an approach that could support the thought that led to the error. In the light of the findings, it was seen that the prospective teachers had a limited understanding of the equal sign. This study suggests that mathematics educators should create appropriate learning opportunities to improve prospective teachers’ understanding of the equal sign and their ability to respond to students’ errors.

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Bu Makaleye Atıf Yap

ÖZDEMİR, E., DEDE, E. (2022). INVESTIGATION OF THE WAYS PROSPECTIVE MATHEMATICS TEACHERS RESPOND TO STUDENTS’ ERRORS: AN EXAMPLE OF THE EQUAL SIGN. IOJET, Cilt: 9 - Sayı: 2, 723–739. https://ajindex.com/articles/542098

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Kaynakça (8)

  1. Alibali, M. W., Knuth, E. J., Hattikudur, S., McNeil, N. M., & Stephens, A. C. (2007). A longitudinal examination of middle school students’ understanding of the equal sign and equivalent equations. Mathematical Thinking and Learning, 9, 221–247. doi:10.1080/10986060701360902 Asquith, P., Stephens, A., Knuth, E., & Alibali, M. (2007). Middle school mathematics teachers’ knowledge of students’ understanding of core algebraic concepts: Equal sign and variable. Mathematical Thinking and Learning, 9(3), 249–272.
  2. Ball, D. B., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special?. Journal of Teacher Education, 59(5), 389-407.
  3. Baroody, A. J., & Ginsburg, H. P. (1982). The effects of instruction on children’s understanding of the “equals” sign. Paper presented at the annual meeting of the American Educational Research Association, New York, NY, (ERIC Document Reproduction Service No. ED214765 Creswell, J. W., & Poth, C. N. (2018). Qualitative Inquiry and Research Design: Choosing among five approaches (4th ed.). Sage Publications. Carpenter, T. P., Franke, M. L., & Levi, L. (2003). Thinking mathematically: Integrating arithmetic and algebra in elementary school. Portsmouth, NH: Heinemann. Carpenter, T., Levi, L., Franke, M., & Zeringue, J. (2005). Algebra in elementary school: Developing relational thinking. Zentralblatt für Didactic der Mathematik. (International Reviews on Mathematics Education), ZDM, 37(1), 53–59.
  4. Didiş, M.G., Erbaş, A.K., & Çetinkaya, B. (2016). Investigating prospective mathematics teachers’ pedagogical approaches in response to students’ errors in the context of mathematical modeling activities. Elementary Education Online, 15(4), 1367-1384.
  5. Didiş Kabar, M. G., & Amaç, R. (2018). Investigating pre-service middle-school mathematics teachers’ knowledge of student and instructional strategies: An algebra case. Abant Izzet Baysal University Journal of Faculty of Education, 18 (1), 157-185.
  6. Doğan, O., & Kılıç, H. (2019). Mathematical opportunities: Noticing and acting. Education and Science, 44 (199), 1-19, Doi: 10.15390/EB.2019.7593 Falkner, K. P., Levi, L., & Carpenter, T. P. (1999). Children’s understanding of equality: A foundation for algebra. Teaching Children Mathematics, 6(4), 56–60.
  7. Herscovics, N., & Linchevski, L. (1994). A cognitive gap between arithmetic and algebra. Educational Studies in Mathematics, 27, 59–78.
  8. Jacobs, V. R., Lamb, L. L., & Philipp, R. A. (2010). Professional noticing of children