Ortaokul Öğrencilerinin Rutin ve Rutin Olmayan Problemleri Çözme Stratejilerinin İncelenmesi

Bu araştırmanın amacı, ortaokul öğrencilerinin rutin ve rutin olmayan problemleri çözme durumlarını ve bu problemleri çözerken kullandıkları stratejileri belirlemektir. Araştırma tarama modelindedir. Araştırmanın örneklemini, amaçlı örnekleme yöntemlerinden homojen örnekleme ile belirlenen 6., 7. ve 8. sınıflarında öğrenim görmekte olan toplam 430 öğrenci oluşturmaktadır. Araştırmada veri toplama aracı olarak rutin ve rutin olmayan problem testi ve problem değerlendirme rubriği kullanılmıştır. Araştırmada öğrencilerin rutin problemlerde daha başarılı oldukları ve öğrencilerin rutin ve ve rutin olmayan problemlerin çözümünde en çok aritmetiksel strateji kullandıkları sonucuna ulaşılmıştır. Ayrıca rutin problemlerin çözümünde öğrencilerin denklem kurma stratejisini kullanırken rutin olmayan problemlerin çözümünde ise tahmin kontrol stratejisini kullandıkları ortaya çıkmıştır. Çalışmanın sonucunda matematik derslerinde rutin olmayan problemlere sınıf içerisinde ve ders kitaplarında daha fazla yer verilmesi gerekliliği ortaya çıkmıştır. Ayrıca öğrencilerin çizim yapma, sistematik liste yapma, mantıksal akıl yürütme stratejilerini problem çözme sürecinde kullanmakla beraber bağıntı bulma, eleme ve geriye doğru çalışma stratejilerini hiç kullanmadıkları sonucuna ulaşılmıştır.

Investigation of Secondary School Students' Strategies for Solving Routine and Non-Routine Problems

The aim of this study is to determine the situations of secondary school students in solving routine and non-routine problems and the strategies they use while solving these problems. The research is in the survey model. The sample of the study consists of 430 students studying in the 6th, 7th and 8th grades of two official secondary schools by homogeneous sampling, one of the purposeful sampling methods. Routine and non-routine problem test and problem evaluation rubric were used as data collection tools in the study. As a result of the research, it was concluded that students were more successful in routine problems and that students mostly used arithmetic strategies in solving routine and non-routine problems. In addition, it was revealed that students used the equation strategy in solving routine problems, and the guess and check strategy in solving non-routine problems. As a result of the study, it was revealed that non-routine problems should be included more in the classroom and in the textbooks in mathematics lessons. In addition, it was concluded that students never used drawing, make a list, logical reasoning strategies in the process of problem solving, but never using the strategies of find a pattern, elimination, and working backwards.

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