ÖzetBu araştırmanın amacı, ortaokul 6. ve 7. sınıf öğrencilerinin kesirler konusundaki yaygın kavram yanılgılarının belirlenmesidir. Araştırmanın örneklemini, Erzincan il merkezindeki bir ortaokulda öğrenim görmekte olan 60 öğrenci oluşturmaktadır. Araştırmada durum çalışması yöntemi kullanılmıştır. Veri toplama aracı olarak, kesirler konusuna ilişkin literatürde var olan sekiz adet kavram yanılgısı belirlenmiş ve ortaokul matematik dersi öğretim programındaki kazanımlar da dikkate alınarak her bir kavram yanılgısına yönelik ikişer soru olmak üzere toplam 16 soruluk bilgi testi geliştirilmiştir ve kullanılmıştır. Verilerin analizi sonucunda öğrencilerin en fazla parça-bütün ilişkisi; en az kesirlerde toplama işlemi konusunda kavram yanılgısına sahip oldukları tespit edilmiştir. Parça bütün ilişkisi gibi önemli bir konuda öğrencilerin en fazla kavram yanılgısına sahip oldukları düşünülürse; öğretmenler tarafından özellikle üzerinde durulması önemli görülmekte ve önerilmektedir.Anahtar Kelimeler: Kesirler, Kavram Yanılgısı, Ortaokul.
AbstractThe aim of this research is to determine the common misconceptions of 6th and 7th class secondary school students on fractions. The sample of the research includes 60 secondary school students in a secondary school in Erzincan city centre. Case study method was applied in the research. As data collection tool, eight * Bu makale I. Uluslararası Erzincan Sempozyumu'nda sözlü olarak sunulan ve tam metin olarak yayınlanan bildirinin genişletilmiş halidir.
This study aims to explore the modelling cycles that emerge during the pre-service teachers’ mathematical modelling activities. A case study method was employed in the research. 119 pre-service teachers who were in their fourth class participated in the research. The pre-service teachers worked in groups. So, there were a total of 28 different groups. The modelling task was posed by considering the modelling criteria. The data collection tools consisted of the pre-service teachers’ working papers. The content analysis method was applied in the data analysis. The preservice teachers created four different modelling cycles. The first consisted of 7% of the groups and was the cycles that included the pre-service teachers who could reach the real model. The second was the cycle that consisted of 68% of the groups and included the pre-service teachers who could reach the mathematical results from the real model without posing any mathematical model. The third was the cycle that consisted of 7% of the groups and included the pre-service teachers who completed the process by reaching the mathematical model. The fourth was the cycle that consisted of 18% of the groups and included the pre-service teachers who completed the modelling cycle. It was determined that the cycle in the second group occurred the most among the modelling cycles. The pre-service teachers can be supported to pass the third and fourth modelling cycles.
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