Journals / Türk Bilgisayar ve Matematik Eğitimi Dergisi / 2020 / Cilt: 11 - Sayı: 1

Investigation of Middle School Students’ Solution Strategies in Solving Proportional and Non-proportional Problems

Pages
1–14
Publication Date
2022-11-06
DOI
—
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AI Summary & Key Takeaways

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

Moreover, the results showed that students commonly used incorrect proportional strategies to solve non-proportional problems.

📌 3 Key Takeaways

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Objective & Hypothesis:The purpose of this study was to investigate middle school students’ solution strategies in solving different types of proportional (i.e., missing value, numerical comparison and qualitative reasoning problems) and non-proportional problems and to compare if differences existed between sixth and eighth grades students’ solution strategies.
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Key Findings & Data:Data were collected from 101 sixth grade (n=44) and eighth grade (n=57) students from three different public middle schools.
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Conclusion & Impact:Moreover, the results showed that students commonly used incorrect proportional strategies to solve non-proportional problems.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The purpose of this study was to investigate middle school students’ solution strategies in solving different types of proportional (i.e., missing value, numerical comparison and qualitative reasoning problems) and non-proportional problems and to compare if differences existed between sixth and eighth grades students’ solution strategies. Data were collected from 101 sixth grade (n=44) and eighth grade (n=57) students from three different public middle schools. The students were asked to solve ten open-ended items that included seven proportional problems and three non-proportional problems. Descriptive data analysis methods were used to analyze data. The results revealed that the students’ solution strategies differed based on problem type and grade level. The eighth grade students used cross-multiplication as a leading strategy whereas the sixth grade students used factor of change strategy. Moreover, the results showed that students commonly used incorrect proportional strategies to solve non-proportional problems.

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Cite This Article

TUNÇ, M. P. (2022). Investigation of Middle School Students’ Solution Strategies in Solving Proportional and Non-proportional Problems. Türk Bilgisayar ve Matematik Eğitimi Dergisi, Cilt: 11 - Sayı: 1, 1–14. https://ajindex.com/articles/620387

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References (11)

  1. Atabaş, Ş. (2014). An examination of fifth and sixth grade students’ proportional reasoning (Unpublished master’s thesis). Boğaziçi University, Graduate School of Social Sciences, İstanbul.
  2. Atabaş, Ş., & Öner, D. (2016). An examination of Turkish middle school students’ proportional reasoning. Boğaziçi Üniversitesi Eğitim Dergisi, 33(1), 63-85.
  3. Avcu, R., & Avcu, S. (2010). 6th grade students’ use of different strategies in solving ratio and proportion problems. Procedia-Social and Behavioral Sciences, 9, 1277-1281.
  4. Ayan, R., & Işıksal-Bostan, M. (2018). Middle school students’ reasoning in nonlinear proportional problems in geometry. International Journal of Science and Mathematics Education, 16(3), 503-518.
  5. Ayan, R., & Işıksal-Bostan, M. (2019). Middle school students’ proportional reasoning in real life contexts in the domain of geometry and measurement. International Journal of Mathematical Education in Science and Technology, 50(1), 65-81.
  6. Baroody, A. J., & Coslick, R. T. (1998). Fostering children's mathematical power: An investigative approach to K-8 mathematics instruction. New York: Lawrence Erlbaum. Behr, M., Lesh, R., Post, T., & Silver E. (1983). Rational number concepts. In R. Lesh, & M. Landau (Eds.), Acquisition of mathematics concepts and processes (pp. 91-125). New York: Academic Press.
  7. Ben-Chaim, D., Fey, J. T., Fitzgerald, W. M., Benedetto, C., & Miller, J. (1998). Proportional reasoning among 7th grade students with different curricular experiences. Educational Studies in Mathematics, 36, 247–273.
  8. Ben-Chaim, D., Keret, Y., & Ilany, B. S. (2012). Ratio and proportion: Research and teaching in mathematics teachers’ education (pre- and in-service mathematics teachers of elementary and middle school classes). Rotterdam, The Netherlands: Sense Publishers.
  9. Borg, W. R., & Gall, M. D. (1989). Educational research. An introduction (5th ed.). White Plains, New York: Longman. Cramer, K., Post, T., & Behr, M. (1989). Interpreting proportional relationships. Mathematics Teacher, 82(6), 445-452.
  10. Cramer, K., & Post, T. (1993). Connecting research to teaching proportional reasoning. Mathematics Teacher, 86(5), 404-407.
  11. Cramer, K., Post, T., & Currier, S. (1993). Learning and teaching ratio and proportion: Research implications. In D. Owens (Ed.), Research ideas for the classroom (pp. 159-178). New York: Macmillan Publishing Company. Duatepe, A., Akkuş-Çıkla O., & Kayhan, M. (2005). Orantısal akıl yürütme gerektiren sorularda öğrencilerin kullandıkları ç