SavedAdd your journal

Journals / The Eurasia Proceedings of Educational and Social Sciences / 2026 / Volume: 2

7TH GRADE STUDENTS’PROBLEM SOLVING SUCCESS RATES ON PROPORTIONAL REASONING PROBLEMS

Mustafa Serkan Pelen
Perihan Dinç Artut
Pages
—
Publication Date
2015-09-01
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

The findings of the study also indicate that problem types affect students’ problem solving performances.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This research was conducted to investigate 7th grade students’ problem solving success rates on proportional reasoning problems and whether these success rates change with different problem types. 331 randomly selected students of grade seven participated in this study.
📊
Key Findings & Data:Descriptive data analysis methods were used in this study.  Analysis has shown that 7th grade students solved different problem types with different success rates.
💡
Conclusion & Impact:The findings of the study also indicate that problem types affect students’ problem solving performances.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:problem solving success rate · proportional reasoning · problem types

Abstract

This research was conducted to investigate 7th grade students’ problem solving success rates on proportional reasoning problems and whether these success rates change with different problem types. 331 randomly selected students of grade seven participated in this study. A problem test which contains three different types of missing value (direct proportional, inverse proportional and additive/non-proportional) word problems was designed as a data collecting tool for the research. Descriptive data analysis methods were used in this study.  Analysis has shown that 7th grade students solved different problem types with different success rates. The findings of the study also indicate that problem types affect students’ problem solving performances.

🔖

Cite This Article

Pelen, M. S., Artut, P. D. (2015). 7TH GRADE STUDENTS’PROBLEM SOLVING SUCCESS RATES ON PROPORTIONAL REASONING PROBLEMS. The Eurasia Proceedings of Educational and Social Sciences, Volume: 2. https://ajindex.com/articles/1550467

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (36)

  1. Aleman, B. P. (2007), The effect of a proportional reasoning based test preparation instructional treatment on mathematics achievement of eight grade students, Faculty of the college of Education, University of Houston Bart, W., Post, T., Behr, M., Lesh, R. (1994), “A Diagnostic Analysis Of A Proportional Reasoning Test Item: An Introduction To The Proporties Of A Semi-Dense Item”, Focus on Learning Problems in Mathematics, 16(3), 1-11.
  2. Baxter, G. P., Junker, B. A. (2001), Case study in proportional reasoning. Paper presented at the annual meeting of National Council of Mathematics for Measurement in Education Seattle, Washington Baykul, Y. (2009), İlköğretimde matematik öğretimi 6-8.
  3. Sınıflar, Pegem Akademi Ben-Chaim, D., Fey, J., Fitzgerald, W., Benedetto, C., Miller, J. (1998), Proportional reasoning among 7th grade students with different curricular experiences, Educational Studies in Mathematics, 36: 247-273
  4. Cramer, K., Post T. (1993), “Connecting Research To Teaching Proportional Reasoning”, Mathematics Teacher,(86), S. 5, ss. 404 – 407. De Bock, D., Van Dooren, W., Janssens, D., Verschaffel, L. (2002), “Improper Use Of Linear Reasoning: An In-Depth Study Of The Nature And The Irresistibility of Secondary School Students’ Errors”, Educational Studies In Mathematics, 50: 311-334.
  5. De Bock, D., De Bolle, E., Janssens, D., Van Dooren, W., Verschaffel, L. (2003), Secondary School Students' Improper Proportional Reasoning: The Role Of Direct Versus Indirect Measures, Pme Conference, 2, no. Conf 27, (2003): 293-300
  6. Duatepe A., Akkuş-Çıkla O., Kayhan M. (2005),“OrantısalAkılYürütmeGerektirenSorulardaÖğrencilerinKullandıklarıÇözümStratejilerininSoruTürlerineGöreDeğişimininİncelenmesi”, Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 28: 73-81
  7. Fraenkel, J. R. &Wallen, N. E. (2005).How to design and evaluate research in education (3rd ed.). New York: McGraw-Hill. Johnson, G. J. (2010), Proportionality in middle-school mathematics textbooks, Doctor of Philosophy, Department of Secondary Education College of Education, University of South Florida Karplus, R., Pulos, S., Stage, E. K. (1983), Early adolescents’ proportional reasoning on rate problems. Educational Studies in Mathematics, 14, 219-234
  8. Lamon, S. J. (1993). Ratio and proportion: Children's cognitive and metacognitive processes Rational numbers: An integration of research (pp. 131-156).
  9. Hillsdale, NJ.: Lawrence Erlbaum Associates. Langrall, C. W., Swafford, J. (2000), “Three Balloons for Two Dollars: Developing Proportional Reasoning”, Mathematics Teaching in the Middle School, 6 – 254. Lesh, R., Post, T., Behr, M. (1988), “Proportional Reasoning. J. Hiebert & M. Behr (Eds.) Number Concepts and Operations in the Middle Grades”, 93-118,Reston, VA: Lawrence Erlbaum & National Council of Teachers of Mathematics National Council of Teachers of Mathematics (2000),Principles and Standards for School Mathematics, National Council of Teachers of Mathematics, Reston, VA. McIntosh, M. B. (2013), Developing Proportional Reasoning in Middle School Students, Masters of Mathematics, College of Science, The University of Utah MEB (2013), Ortaokul Matematik Dersi (5, 6, 7 ve 8.Sınıflar) Öğretim Programı, Ankara:
  10. MEB Yayınları Misailidou, C., Williams, J. (2003), Diagnostic assessment of children’s proportional reasoning, Journal of Mathematical Behavior, v22 n3 (2003): 335-368
  11. Singh, P. (2000), “Understanding The Concepts Of Proportion And Ratio Constructed By Two Grade Six Students”, Educational Studies In Mathematics, 43, 271-292.
  12. Steinthorsdottir, O. B. (2006), Proportional reasoning variable influencing the problems difficulty level and one’s use of problem solving strategies, Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (30th, Prague, Czech Republic, July 16-21, 2006). Volume 5 Steinthorsdottir, O. B., Sriraman, B. (2009), Icelandic 5th-Grade Girls' Developmental Trajectories in Proportional Reasoning, Mathematics Education Research Journal, v21 n1 p6-30 2009
  13. Tourniaire, F., Pulos, S. (1985), Proportional Reasoning: A Review of the Literature, Educational Studies in Mathematics, v16 n2 (May, 1985): 181-204
  14. Tourniaire, F. (1986),
  15. Proportions in Elementary School, Educational Studies in Mathematics, v17 n4 (Nov., 1986): 401-412
  16. Van Dooren, W., De Bock, D., Hessels, A., Janssens, D., Verschaffel, L. (2005), Not Everything Is Proportional: Effects of Age and Problem Type on Propensities for Overgeneralization, Cognition and Instruction, v23 n1 (2005): 57-86
  17. Van Dooren, W., De Bock, D., Verschaffel, L. (2010), From Addition to Multiplication … and Back: The Development of Students' Additive and Multiplicative Reasoning Skills, Cognition and Instruction, 28, no. 3 (2010): 360-381
  18. Van Dooren, W. De Bock, D. Vleugels, K. Verschaffel, L. (2010), Just Answering … or Thinking? Contrasting Pupils' Solutions and Classifications of Missing-Value Word Problems, Mathematical Thinking and Learning, 12:1, 20-35
  19. Aleman, B. P. (2007), The effect of a proportional reasoning based test preparation instructional treatment on mathematics achievement of eight grade students, Faculty of the college of Education, University of Houston Bart, W., Post, T., Behr, M., Lesh, R. (1994), “A Diagnostic Analysis Of A Proportional Reasoning Test Item: An Introduction To The Proporties Of A Semi-Dense Item”, Focus on Learning Problems in Mathematics, 16(3), 1-11.
  20. Baxter, G. P., Junker, B. A. (2001), Case study in proportional reasoning. Paper presented at the annual meeting of National Council of Mathematics for Measurement in Education Seattle, Washington Baykul, Y. (2009), İlköğretimde matematik öğretimi 6-8.
  21. Sınıflar, Pegem Akademi Ben-Chaim, D., Fey, J., Fitzgerald, W., Benedetto, C., Miller, J. (1998), Proportional reasoning among 7th grade students with different curricular experiences, Educational Studies in Mathematics, 36: 247-273
  22. Cramer, K., Post T. (1993), “Connecting Research To Teaching Proportional Reasoning”, Mathematics Teacher,(86), S. 5, ss. 404 – 407. De Bock, D., Van Dooren, W., Janssens, D., Verschaffel, L. (2002), “Improper Use Of Linear Reasoning: An In-Depth Study Of The Nature And The Irresistibility of Secondary School Students’ Errors”, Educational Studies In Mathematics, 50: 311-334.
  23. De Bock, D., De Bolle, E., Janssens, D., Van Dooren, W., Verschaffel, L. (2003), Secondary School Students' Improper Proportional Reasoning: The Role Of Direct Versus Indirect Measures, Pme Conference, 2, no. Conf 27, (2003): 293-300
  24. Duatepe A., Akkuş-Çıkla O., Kayhan M. (2005),“OrantısalAkılYürütmeGerektirenSorulardaÖğrencilerinKullandıklarıÇözümStratejilerininSoruTürlerineGöreDeğişimininİncelenmesi”, Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 28: 73-81
  25. Fraenkel, J. R. &Wallen, N. E. (2005).How to design and evaluate research in education (3rd ed.). New York: McGraw-Hill. Johnson, G. J. (2010), Proportionality in middle-school mathematics textbooks, Doctor of Philosophy, Department of Secondary Education College of Education, University of South Florida Karplus, R., Pulos, S., Stage, E. K. (1983), Early adolescents’ proportional reasoning on rate problems. Educational Studies in Mathematics, 14, 219-234
  26. Lamon, S. J. (1993). Ratio and proportion: Children's cognitive and metacognitive processes Rational numbers: An integration of research (pp. 131-156).
  27. Hillsdale, NJ.: Lawrence Erlbaum Associates. Langrall, C. W., Swafford, J. (2000), “Three Balloons for Two Dollars: Developing Proportional Reasoning”, Mathematics Teaching in the Middle School, 6 – 254. Lesh, R., Post, T., Behr, M. (1988), “Proportional Reasoning. J. Hiebert & M. Behr (Eds.) Number Concepts and Operations in the Middle Grades”, 93-118,Reston, VA: Lawrence Erlbaum & National Council of Teachers of Mathematics National Council of Teachers of Mathematics (2000),Principles and Standards for School Mathematics, National Council of Teachers of Mathematics, Reston, VA. McIntosh, M. B. (2013), Developing Proportional Reasoning in Middle School Students, Masters of Mathematics, College of Science, The University of Utah MEB (2013), Ortaokul Matematik Dersi (5, 6, 7 ve 8.Sınıflar) Öğretim Programı, Ankara:
  28. MEB Yayınları Misailidou, C., Williams, J. (2003), Diagnostic assessment of children’s proportional reasoning, Journal of Mathematical Behavior, v22 n3 (2003): 335-368
  29. Singh, P. (2000), “Understanding The Concepts Of Proportion And Ratio Constructed By Two Grade Six Students”, Educational Studies In Mathematics, 43, 271-292.
  30. Steinthorsdottir, O. B. (2006), Proportional reasoning variable influencing the problems difficulty level and one’s use of problem solving strategies, Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (30th, Prague, Czech Republic, July 16-21, 2006). Volume 5 Steinthorsdottir, O. B., Sriraman, B. (2009), Icelandic 5th-Grade Girls' Developmental Trajectories in Proportional Reasoning, Mathematics Education Research Journal, v21 n1 p6-30 2009
  31. Tourniaire, F., Pulos, S. (1985), Proportional Reasoning: A Review of the Literature, Educational Studies in Mathematics, v16 n2 (May, 1985): 181-204
  32. Tourniaire, F. (1986),
  33. Proportions in Elementary School, Educational Studies in Mathematics, v17 n4 (Nov., 1986): 401-412
  34. Van Dooren, W., De Bock, D., Hessels, A., Janssens, D., Verschaffel, L. (2005), Not Everything Is Proportional: Effects of Age and Problem Type on Propensities for Overgeneralization, Cognition and Instruction, v23 n1 (2005): 57-86
  35. Van Dooren, W., De Bock, D., Verschaffel, L. (2010), From Addition to Multiplication … and Back: The Development of Students' Additive and Multiplicative Reasoning Skills, Cognition and Instruction, 28, no. 3 (2010): 360-381
  36. Van Dooren, W. De Bock, D. Vleugels, K. Verschaffel, L. (2010), Just Answering … or Thinking? Contrasting Pupils' Solutions and Classifications of Missing-Value Word Problems, Mathematical Thinking and Learning, 12:1, 20-35