Journals / Research on Education and Psychology / 2022 / Cilt: 6 - Sayı: 1

General Understanding Regarding to the Fraction and Rational Number Concepts

Pages
46–67
Publication Date
2022-06-30
DOI
—
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AI Summary & Key Takeaways

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

Also, it was found that students associate the rational number with negativity while associating the fraction with positivity.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of the current research is to examine the studies carried out to determine the understanding of the concepts of fraction and rational number of students, teachers and prospective teachers and to reveal the general understanding by synthesizing the findings of these studies.
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Key Findings & Data:Within the scope of the study, a total of 14 studies conducted in Turkey within the framework of the qualitative research paradigm were examined in order to reveal the understanding regarding to the concepts of fraction and rational number.
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Conclusion & Impact:Also, it was found that students associate the rational number with negativity while associating the fraction with positivity.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fraction · Rational Number · Understanding

Abstract

The aim of the current research is to examine the studies carried out to determine the understanding of the concepts of fraction and rational number of students, teachers and prospective teachers and to reveal the general understanding by synthesizing the findings of these studies. For this purpose, meta-synthesis research method, in which qualitative studies are again interpreted and synthesized with a qualitative understanding, was used in the study. Within the scope of the study, a total of 14 studies conducted in Turkey within the framework of the qualitative research paradigm were examined in order to reveal the understanding regarding to the concepts of fraction and rational number. Content analysis was used in the analysis of the obtained data. As a result of the research; It has been determined that students, teachers and prospective teachers have various understandings regarding to the concepts of fraction and rational number. One of the remarkable results is that the prospective teachers have an understanding that the numerator and denominator of the fraction are real numbers, while the teachers have an understanding that the numerator and denominator can be integer, natural number or positive integer. Also, it was found that students associate the rational number with negativity while associating the fraction with positivity.

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Cite This Article

YILDIZHAN, B., ERTEKİN, E. (2022). General Understanding Regarding to the Fraction and Rational Number Concepts. Research on Education and Psychology, Cilt: 6 - Sayı: 1, 46–67. https://ajindex.com/articles/797214

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References (13)

  1. Aksu, Z. (2013). The development of pre-service primary school teachers' pedagogical content knowledge in fractions [Unpublished doctoral dissertation]. Atatürk University, Erzurum. Aktaş, D. G. (2019). The concept definition of students and teachers about fraction and rational number [Unpublished doctoral dissertation]. Gazi University, Ankara.
  2. Argün, Z., Arıkan, A., Bulut, S., & Halıcıoğlu, S. (2014). Temel matematik kavramların künyesi [Identity of basic mathematical concepts]. Ankara:
  3. Gazi Kitabevi.
  4. Bennett, A., Burton, L., Nelson, T., & Ediger, J. (2016). Mathematics for elementary teachers: A conceptual approach (10th. Edition). NY: The McGraw-Hill Companies. Büyüköztürk, S., Cakmak, E. K., Akgun, O. E., Karadeniz, S., & Demirel, F. (2017). Bilimsel araştırma yöntemleri [Scientific research methods] (23. Baskı). Ankara:
  5. Pegem Akademi. Carraher, D. W. (1993). Lines of thought: A ratio and operator model of rational number. Educational Studies in Mathematics, 25, 281-305. https://doi.org/10.1007/BF01273903
  6. Cramer, K., & Post, T. (1995). Facilitating children’s development of rational number knowledge. D. Owens, M. Reed, and G. Millsaps (Eds.), Proceedings of the Seventeenth Annual Meeting of PME-NA (s. 377-382).
  7. Columbus, OH: PME. Çelik, B. (2006). Temel matematik [Basic math]. Ankara:
  8. Nobel Yayın. Çetin, H. (2020). Investigation of the definitions of pre-service elementary mathematics teachers on fraction concept. Eurasian Journal of Teacher Education, 1(3), 172-185. https://dergipark.org.tr/en/pub/ejte/issue/59069/795482
  9. Çevikbaş, M., & Argün, Z. (2017). Future mathematics teachers' knowledge of rational and irrational number concepts. Journal of Uludağ University Faculty of Education, 30(2), 551-581. https://doi.org/10.19171/uefad.368968
  10. Doğan, A. (2018). Primary school teachers' knowledges toward fractional meanings and models used in fractions teaching [Unpublished doctoral dissertation]. Gazi University, Ankara.
  11. Ercire, Y. E., Narlı, S., & Aksoy, E. (2016). Learning difficulties about the relationship between irrational number set with rational or real number sets. Turkish Journal of Computer and Mathematics Education, 7(2), 417-439. http://dx.doi.org/10.16949/turcomat.47225
  12. Erdem, E. (2016). Prospective middle school mathematics teachers’(PMTs) content knowledge about concepts ‘fraction’ and ‘rational number’. Journal of Education and Training Studies, 4(6), 80-92. http://dx.doi.org/10.11114/jets.v4i6.1431
  13. Gümüş, S. (2018). Nitel araştırmaların