Öğrencilerin Değişim Oranına İlişkin Düşünme Yolları

Öz

Değişim oranı, fonksiyonların anlaşılmasında önemli bir konudur. Aslında değişim oranı da bir fonksiyon gibi düşünülebilir. Çünkü bir niceliğin diğerine göre değişim oranı hakkında muhakeme etmek fonksiyon kavramının temelini oluşturmaktadır. Bu çalışmanın amacı 8. sınıf öğrencilerinin değişimin oranı konusunda sahip oldukları düşünme yollarını belirlemektir. Çalışmanın verileri uygulanan öğretim deneyi süresince elde edilmiştir. Öğretim deneyinde uygulanan görevler ise öğrencilerin değişimin oranı konusunda anlayışlarını ortaya koyacak şekilde oluşturulmuştur. Çalışmanın sonuçlarına göre öğrencilerin düşünme yolları niceliksel olmayan değişim oranı ve niceliksel değişim oranı şeklinde kategorize edilebilir. Öğretim deneyinin sonucunda öğrencilerin düşünme yolları, niceliksel olmayan değişim oranından niceliksel değişim oranına doğru değişim göstermiştir.     

Anahtar Kelimeler

• Değişim oranı,öğretim deneyi,düşünme yolları

Students’ Ways Of Thinking About Rate Of Change

Öz

Rate of change is an important subject for understanding functions. In fact rate of change can be thought as a function itself. Because reasoning about rate of change of one quantity with respect to another quantity is the basis of the function concept. The aim of this research is to determine the 8^th graders’ ways of thinking about the rate of change. The data were gathered using a teaching experiment methodology. The tasks used within teaching experiment were formed to explain students understanding rate of change. The results show that students’ ways of thinking can be categorized as non-quantitative rate of change and quantitative rate of change. After completing the teaching experiment, the students moved from non-quantitative to quantitative rate of change.

Anahtar Kelimeler

• rate of change,teaching experiment,, ways of thinking

Kaynakça

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