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Öz

–This study is a follow-up of the research, in which the researcher investigated relationship between students’ understanding of functions in Cartesian and Polar Coordinate Systems. Teaching of polar transformation and polar functions was included in the context of transformation concept in the course of Analysis II in a mathematics education program of an education faculty. This teaching process was designed in line of literacy in which the previous study was included. It was showed in the literature that the students who was not given the concept of polar functions could not transfer the function concept to polar coordinates and they use polar coordinates by memorize. It was aimed to examine Analysis II students’ constructions of polar functions in this qualitative study. For data collection, open-ended test and clinical interview techniques were used. Data was analyzed by using the content analysis technique (Yıldırım ve Şimşek, 2003). It was concluded that polar function concept was constructed. Moreover, it was seen that students’ construction of polar functions and their understanding level of function concept were directly related

Anahtar Kelimeler

• polar functions, polar coordinates, function concept

Analiz II Öğrencilerinin Kutupsal Fonksiyonları Oluşturmaları

Öz

Bu çalışma araştırmacının, üniversite öğrencilerinin fonksiyon kavramını kartezyen ve kutupsal koordinatlarda anlamaları arasındaki ilişkiyi inceleyen önceki çalışmasının devamı niteliğindedir. Bir eğitim fakültesi matematik öğretmenliği programı Analiz II dersi içeriğinde yer alan dönüşümler konusu bağlamında kutupsal dönüşüm ve kutupsal fonksiyonlar kavramlarının öğretimine yer verilmiştir. Bu öğretim süreci, kutupsal fonksiyon kavramına ilişkin araştırmacının da katkı sağladığı, alan yazında bulunan birkaç çalışmanın bulguları ışığında tasarlanmıştır. Bu çalışmalar yalnızca ilişkili matematiksel konularda kutupsal koordinatları kullanan ve kutupsal fonksiyon kavramına ilişkin öğretim yapılmamış olan öğrencilerin fonksiyon kavramını kutupsal koordinatlara taşıyamadıklarını, düşey doğru testi gibi Kartezyen koordinatlarda kullandıkları yöntemleri ezbere kutupsal koordinatlarda kullanmaya çalıştıklarını göstermiştir. Nitel olarak desenlenen bu çalışma ile Analiz II öğrencilerinin kutupsal fonksiyonları oluşturma durumlarının incelenmesi amaçlanmıştır. Çalışmanın verileri açık uçlu test ve klinik görüşme teknikleri ile elde edilmiş ve veriler içerik analizi tekniği ile analiz edilmiştir. Çalışmada Analiz II öğrencilerinin kutupsal fonksiyon kavramını oluşturdukları sonucuna ulaşılmıştır. Ayrıca öğrencilerin kutupsal fonksiyon kavramını oluşturmaları ile fonksiyonları anlama düzeyleri arasında direk bir ilişki olduğu görülmüştür.

Anahtar Kelimeler

• kutupsal fonksiyonlar, kutupsal koordinatlar, fonksiyon kavramı.

Kaynakça

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