An Investigation of 7th Grade Students' Misconceptions about Proportion Ratio

Authors

Keywords:

Mathematics education, misconceptions, ratio and proportion

Abstract

This research aims to determine the misconceptions of seventh-grade students about the ratio-proportion subject. The study group of the research is composed of 35 seventh-grade students are selected by a convenience sampling method from two secondary schools depending on the Ministry of National Education. The research was carried out based on the case study, which is one of the qualitative research approaches. As a data collection tool, a test consisting of 8 open-ended questions developed for measuring misconceptions was used. The data obtained were analyzed with the content analysis method and misconceptions were presented in five categories. The distribution of data for each category was presented using the frequency-percentage table and sample student answers with direct quotations were included. In the research, it was concluded that students established additive relationship when they need to establish a multiplicative relationship, they used the direct proportion instead of the inverse proportion, they could not find the actual amount of the measurements given, they could not notice the equivalent ratios and establish a relationship between the two multiplicities. Based on the results of the research, it was suggested that daily life situations should be included in the teaching of the concepts of ratio and proportion.

Author Biographies

Beyza Adak

Kastamonu Üniversitesi, Fen Bilimleri Enstitüsü, Kastamonu/Türkiye.

Feyza Aliustaoğlu, Dr.

Kastamonu Üniversitesi, Eğitim Fakültesi, Kastamonu/Türkiye.

References

Akar, G. K. (2015). Oran konusunun kavramsal öğreniminde karşılaşılan zorluklar ve çözüm önerileri. E. Bingölbali ve M.F. Özmantar (Ed.), İlköğretimde karşılaşılan matematiksel zorluklar ve çözüm önerileri içinde (s. 263-285). Ankara: PegemA.

Akkuş Çıkla, O. ve Duatepe, A. (2002). İlköğretim matematik öğretmen adaylarının orantısal akıl yürütme becerileri üzerine niteliksel bir çalışma. Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 23, 32-40.

Baki, A. (2019). Matematiği öğretme bilgisi. Ankara: PegemA.

Baykul, Y. (2014). Oran, orantı, yüzde ve öğretimi. Ortaokulda Matematik Öğretimi (5-8. Sınıflar) içinde (s. 219- 237). Ankara: PegemA.

Ben-Chaim, D., Keret, Y. ve Ilany, B.S. (2012). Ratio and proportion. Rotterdam: Sense Publishers.

Büyüköztürk, Ş., Çakmak, E. K., Akgün, Ö. E., Karadeniz, Ş. ve Demirel, F. (2012). Bilimsel araştırma yöntemleri. Ankara: PegemA.

Çalışıcı, H. (2018). Middle school students' learning difficulties in the ratio proportion topic and a suggested solution: Envelope technique. Universal Journal of Educational Research, 6(8), 1848-1855.

Doğan, Ç. ve Çetin, İ. (2009). Doğru ve ters orantı konusundaki 7. ve 9. sınıf öğrencilerinin kavram yanılgıları. Uşak Üniversitesi Sosyal Bilimler Dergisi, 2(2). 118-128.

Dougherty, B., Bryant, D. P., Bryant, B. R. ve Shin, M. (2016). Helping students with mathematics difficulties understand ratios and proportions. Teaching Exceptional Children, 49(2), 96-105.

Erbaş, A. K., Çetinkaya, B. ve Ersoy, Y. (2009). Öğrencilerin basit doğrusal denklemlerin çözümünde karşılaştıkları güçlükler ve kavram yanılgıları. Eğitim ve Bilim, 34 (152), 44-59.

Fraenkel, J. R., Wallen, N. E. ve Hyun, H. H. (2012). How to design and evaluate research in education. New York: MCGrawhill Companies.

I, J. Y., Martinez, R. ve Dougherty, B. (2020). Misconceptions on part-part-whole proportional relationships using proportional division problems. Journal of Investigations in Mathematics Learning, 12(2), 67-81.

Kaplan, A., İşleyen, T. ve Öztürk, M. (2011). 6.sınıf oran orantı konusundaki kavram yanılgıları. Kastamonu Eğitim Dergisi, 13(3), 953-968.

Livy, S. ve Herbert, S. (2013). Second-year pre-service teachers’ responses to proportional reasoning test items. Australian Journal of Teacher Education, 38(11), 17-32.

Milli Eğitim Bakanlığı [MEB]. (2018). Matematik Dersi Öğretim Programı. Ankara: MEB Talim ve Terbiye Kurulu Başkanlığı.

Mersin, N. (2018). İki aşamalı teşhis testine göre ortaokul 5, 6 ve 7. sınıf öğrencilerinin orantısal akıl yürütmelerinin değerlendirilmesi. Cumhuriyet International Journal of Education, 7(4), 319–348.

Miles, M, B. ve Huberman, A. M. (1994). Qualitative data analysis: An expanded sourcebook. California: Sage Publications.

Nesher, P. (1987). Towards an instructional theory: the role of student’s misconceptions. For the Learning of Mathematics, 7(3), 33-40.

Roche, A. ve Clarke, D. M. (2014). Music cards. Mathematics Teaching in the Middle School, 19(5), 301-307.

Van De Walle, J. A., Karp, K. S. ve Bay-Williams, J. M. (2014). İlkokul ve ortaokul matematiği: Gelişimsel yaklaşımla öğretim. (S. Durmuş, çev.) Ankara: Nobel Akademik Yayıncılık.

Yıldırım, A. ve Şimşek, H. (2016). Sosyal bilimlerde nitel araştırma yöntemleri. Ankara: Seçkin Yayıncılık.

Published

2020-12-29