PROBLEM SOLVING STRATEGIES USED BY GIFTED SECONDARY SCHOOL STUDENTS TO SOLVE MATH PROBLEMS

Öz

The general purpose of this study was to determine the strategies used by gifted secondary school students in solving mathematics problems. To collect data about the problem solving strategies of the gifted students, a case study was used. The research was performed at the Science and Arts Center of Ankara Province in Turkey. The study was conducted with five 7th grade secondary school students. In the sample chosen, first, the necessary permissions were obtained from the Ministry of National Education in Turkey, and then, the random sampling method was used. A problem solving test that was developed by the researcher was used as the measurement instrument. There were 5mathematics problems in the test, and each problem was checked whether specific problem solving strategies were used or not. Additionally, problems were developed by following the objectivesof the secondary mathematics curriculum. The responsesof the students were evaluated through semi-structured interviews for each problem according to the strategies used, and field notes were taken during the semi-structured interviews by the researcher. The data were analyzed using descriptive analyses and voice thinking techniques. The results of the study revealed that the students used 8 different strategies for solving the mathematics problems. They most frequently used logical reasoning and finding pattern problem solving strategies during the solution of these problems, however the working backward and considering extreme cases strategies were never used by the gifted students.

Anahtar Kelimeler

• Gifted students
• problem solving strategies
• mathematics education

ÖZEL YETENEKLİ ORTAOKUL ÖĞRENCİLERİNİN PROBLEM ÇÖZMEDE KULLANDIKLARI PROBLEM ÇÖZME STRATEJİLERİ

Öz

Bu çalışmanın genel amacı özel yetenekli ortaokul öğrencilerinin matematik problemlerini çözerken kullandıkları problem çözme stratejilerini belirlemektir. Çalışmada özel yeteneklilerin problem çözme stratejileri hakkında veri toplamak için durum çalışması yöntemi kullanılmıştır. Araştırma, Millî Eğitim Bakanlığından gerekli izinler alındıktan sonra Ankara ilinde yer alan bir Bilim Sanat Merkezinde öğrenim görmekte olan özel yetenekli beş öğrenci ile yürütülmüştür. Çalışmanın örneklemi, kurumda öğrenim görmekte olan yedinci sınıf öğrencileri arasından çalışmaya katılmaya gönüllü olan öğrencilerden oluşmaktadır. Çalışmanın verileri araştırmacı tarafından geliştirilen “Problem Çözme Testi” kullanılarak öğrencilerle yapılan yarı yapılandırılmış görüşmelerle elde edilmiştir. Test, her maddesi ilköğretim matematik öğretim programındayer alan hedefler doğrultusunda geliştirilen ve birden fazla problem çözme stratejisi kullanılmaya uygun olan beş matematik probleminden oluşmaktadır. Elde edilen veriler betimsel analiz ve sesli düşünme tekniği yöntemleri kullanılarak analiz edilmiştir. Araştırmanın sonucunda özel yetenekli öğrencilerin problemleri çözerken sekiz farklı problem çözme stratejisi kullandıkları ortaya çıkmıştır. Öğrenciler en fazla mantıksal akıl yürütme ve ilişki arama stratejilerini kullanmış, geriye doğru çalışma ve uç durumları düşünme stratejilerini hiç kullanmamıştır.

Anahtar Kelimeler

• Özel yetenekli öğrenciler
• problem çözme stratejileri
• matematik eğitimi

Kaynakça

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