An Examination of Turkish Middle School Students’ Proportional Reasoning
Öz
This study examined if middle school students were able to differentiate proportional and non-proportional situations, and whether the use of integer or non-integer ratios in proportional and non-proportional problems affected students’ solution strategies. The analyses showed that students’ success rates among the mentioned problem types significantly differed. They also tended to prefer the proportional solution method in non-proportional situations. In addition, in non-proportional problems, use of non-integer ratios evoked additive strategies while students preferred proportional solution methods in problems with integer ratios. However, contrary to the findings reported in the literature, students’ use of erroneous strategies was not significantly affected by the use of integer or non-integer ratios in proportional problems.
Anahtar Kelimeler
Kaynakça
- Akkuş-Çıkla, O., & Duatepe, A. (2002). İlköğretim matematik öğretmen adaylarının orantısal akıl yürütme becerileri üzerine niteliksel bir çalışma. Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 23, 32-40.
- Behr, M., & Harel, G. (1990). Understanding the multiplicative structure. In G. Booker, P. Cobb, & T.N. de Merldicutti (Eds.) Proceedings of the PME XIV Conference, Volume III (pp. 27-34).
- Boyer, T.W., Levine, S.C. & Huttenlocher, J. (2008). Development of proportional reasoning: Where young children go wrong. Developmental Psychology, 44(5), 1478-1490.
- Capon, N., & Kuhn, K. (1979). Logical reasoning in the supermarket: Adult females’ use of a proportional strategy in an everyday context. Developmental Psychology, 15, 450-452.
- Çeken, R., & Ayas, C. (2010). İlköğretim fen ve teknoloji ile sosyal bilgiler ders programlarında oran ve orantı. Gaziantep Üniversitesi Sosyal Bilimler Dergisi, 9(3), 669-679.
- Çelik, A., & Özdemir, E., Y. (2011). İlkögretim ögrencilerinin orantısal akıl yürütme becerileri ile oran-orantı problemi kurma becerileri arasındaki ilişki. Pamukkale Üniversitesi Eğitim Fakültesi Dergisi, 30, 1-11.
- Clark, F. B., & Kamii, C. (1996). Identification of multiplicative thinking in grades 1-5. Journal for Research in Mathematics Education, 27(1), 41-51.
- Cramer, K., Post, T., & Currier, S. (1993). Learning and teaching ratio and proportion: Research implications, In D. T. Owens (Ed.), Research ideas for the classroom: Middle grades mathematics (pp. 159-178), New York: Macmillan.
Ayrıntılar
Birincil Dil
İngilizce
Konular
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Bölüm
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Yayımlanma Tarihi
1 Ocak 2016
Gönderilme Tarihi
6 Haziran 2017
Kabul Tarihi
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Yayımlandığı Sayı
Yıl 2016 Cilt: 33 Sayı: 1