PROSPECTIVE TEACHERS’ UNDERSTANDING OF EQUATION, FUNCTION and POLYNOMIAL CONCEPTS

Year 2010, Volume: 18 Issue: 1, 67 - 88, 01.01.2010

Yüksel Dede İbrahim Bayazit Danyal Soybaş

Abstract

The main purpose of this study is to explore prospective teachers’ understanding of function, equation and polinomials concepts and the relationships between these notions. The research sample includes 117 students from Gazi and Cumhuriyet Universities. Qualitative and quantitative methods were employed in this study. The notions of conceptual knowledge and concept images were used to establish a theoretical framework for the study. Research findings indicate that prospective teachers had sufficient knowledge related to function, equation and polinomials concepts, yet they demonstrated a lack of understanding concerning the relationships between these notions.

Keywords

Function, equation, polinomials, conceptual knowledge, concept images.

ÖĞRETMEN ADAYLARININ DENKLEM, FONKSİYON VE POLİNOM KAVRAMLARINI ANLAMALARI

Abstract

Bu çalışmada öğretmen adaylarının fonksiyon, denklem ve polinom kavramları ve bu kavramlar arasındaki ilişkilere ait bilgi düzeyleri incelenmiştir. Araştırmanın çalışma grubu, Gazi ve Cumhuriyet Üniversitesinden toplam yüz onyedi 117 matematik öğretmeni adayından oluşmaktadır. Veri toplama ve analiz aşamalarında nitel ve nicel araştırma yöntemlerinin araçları bütünleşik olarak kullanılmıştır. Çalışmaya teorik temel teşkil etmek üzere, literatürdeki kavramsal bilgi ve kavram imajları gibi farklı kavramlardan yararlanılmıştır. Çalışmadan elde edilen bulgular, öğretmen adaylarının fonksiyon, denklem ve polinom kavramlarından her birine ilişkin yeterli düzeyde bilgiye sahip olmakla birlikte bu kavramlar arasındaki içeriksel ilişkileri anlamada oldukça yetersiz kaldıklarını göstermektedir.

Keywords

fonksiyon, denklem, polinom, kavramsal bilgi, kavram imajları

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