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Journals / Ahi Evran Üniversitesi Kırşehir Eğitim Fakültesi Dergisi / 2016 / Cilt: 17 - Sayı: 3

Primary and Middle School Students' Ability to Distinguish Proportional and Non-Proportional Situations

İlkokul ve Ortaokul Öğrencilerinin Orantısal Durumları Orantısal Olmayan Durumlardan Ayırt Edebilme Becerileri

Zülbiye TOLUK UÇAR
Figen BOZKUŞ
Pages
281–299
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

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

The results indicated that some of the students can not distinguish the two problem situations, and tend to use multiplicative strategies in additive situations and additive strategies in multiplicative situations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this study was to identify students' ability to distinguish proportional and nonproportional situations.
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Key Findings & Data:To accomplish the purpose of the study, the strategies used by primary and middle school students to solve proportional and non-proportional problems were examined.
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Conclusion & Impact:The results indicated that some of the students can not distinguish the two problem situations, and tend to use multiplicative strategies in additive situations and additive strategies in multiplicative situations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The aim of this study was to identify students' ability to distinguish proportional and nonproportional situations. To accomplish the purpose of the study, the strategies used by primary and middle school students to solve proportional and non-proportional problems were examined. The study was conducted with a total of 320 students from 4th, 5th, 6th and 7th grades. Data was collected by a written test consisting of four problems. Two problems included additive situations (non-proportional) and two of them contained multiplicative situations (proportional). Strategies used by the students were classified according to their types: multiplicative or additive. The results indicated that some of the students can not distinguish the two problem situations, and tend to use multiplicative strategies in additive situations and additive strategies in multiplicative situations.

Özet

Bu çalışmanın amacı, öğrencilerin orantısal ve orantısal olmayan durumları ayırt edebilme becerilerinin belirlenmesidir. Bu amaçla öğrencilerin orantısal ve orantısal olmayan problemlerin çözümünde kullandıkları stratejiler incelenmiştir. Araştırma, 4. , 5., 6. ve 7. sınıf ilkokul ve ortaokul öğrencileri olmak üzere toplam 320 öğrenci ile yürütülmüştür. Çalışmanın verileri, dört problemden oluşan bir test ile toplanmıştır. Testteki problemlerden iki tanesi toplamsal durumları (orantısal olmayan) ve iki tanesi ise çarpımsal durumları (orantısal) içermektedir. Öğrencilerin kullandıkları stratejiler çarpımsal ve toplamsal olmasına göre sınıflandırılmıştır. Araştırma sonuçları, bazı öğrencilerin iki problem durumunu ayırt edemediklerini, toplamsal durumu içeren problemlerde çarpımsal çözüm stratejilerini kullanma, çarpımsal durumu içeren problemlerde ise toplamsal çözüm stratejilerini kullanma eğilimini gösterdiği tespit edilmiştir.

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Cite This Article

UÇAR, Z. T., BOZKUŞ, F. (2022). Primary and Middle School Students' Ability to Distinguish Proportional and Non-Proportional Situations. Ahi Evran Üniversitesi Kırşehir Eğitim Fakültesi Dergisi, Cilt: 17 - Sayı: 3, 281–299. https://ajindex.com/articles/430931

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References (9)

  1. Aladağ, A. (2009). İlköğretim Öğrencilerinin Orantısal Akıl Yürütmeye Dayalı Sözel Problemler İle Gerçekçi Cevap Gerektiren Problemleri Çözme Becerilerinin İncelenmesi. (Yüksek Lisans Tezi, Çukurova Üniversitesi Sosyal Bilimler Enstitüsü, Adana). https://tez.yok.gov.tr/ adresinden edinilmiştir. Aladağ, A., & Artut, P. D. (2012). Examination of Students' Problem-Solving Skills of Proportional Reasoning Problems and Realistic Problems. Elementary Education Online, 11(4), 995-1009.
  2. Avcu, R., & Doğan, M. (2014). What Are the Strategies Used by Seventh Grade Students While Solving Proportional Reasoning Problems?.International Journal of Educational Studies in Mathematics, 1(2), 34-55.
  3. 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(3), 247-273.
  4. Clark, F. B., & Kamii, C. (1996). Identification of multiplicative thinking in children in grades 1-5. Journal for Research in Mathematics Education, 41-51.
  5. Cramer, K., Post, T., & Currier, S. (1993). Learning and teaching ratio and proportion: Research implications. Middle grades mathematics (Research ideas for the classroom), 159-178.
  6. Çelik, A. ve Özdemir, E. Y. (2011). İlköğretim Öğrencilerinin Orantısal Akıl Yürütme Becerileri İle Problem Kurma Becerileri Arasındaki İlişki. Pamukkale Üniversitesi Eğitim Fakültesi Dergisi, 30(30), 1-11.
  7. 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(3), 311-334.
  8. De Bock, D. (2008). Operations in the number systems: Towards a modelling perspective. Proceedings of ICMI-11-Topic Study Group 10: Research and Development in the Teaching and Learning of Number Systems and Arithmetic, 125-130.
  9. Dole, S., Wright, T. & Clarke (2013). Proportional Reasoning. 07.08.2015 tarihinde http://www.proportionalreasoning.com/uploads/1/1/9/7/11976360/proportional_re asoning.pdf alınmıştır. Fernández C., & Llinares, S. (2009). Understanding additive and multiplicative structures: the effect of number structure and nature of quantities on primary school students' performance. In First French-Cypriot Conference of Mathematics Education, 1- 18. Fernández C., Llinares S., Modestou, M., & Gagatsis, A. (2010). Proportional reasoning: how task variables influence the dev