High School Students’ Abstraction Process of the Knowledge of Signum Functions Based on Piecewise Functions

Son yıllarda öğrenme ortamları, bilişsel süreçlerle ilgili bilimsel gelişmelerden ciddi şekilde etkilenmiştir. Çalışmamızda bu gelişmeler dikkate alınarak hazırlanan bir öğrenme ortamında, lise öğrencilerinin İşaret Fonksiyonu bilgisini oluşturma süreçleri incelenmiştir. Örnek olay yöntemi ve iki lise öğrencisiyle grup çalışması şeklinde yürütülen bu çalışmanın öğretim kısmında, sıralı üç problem tasarlanmış ve kullanılmıştır. Çalışmada öğrencilerin ilk problemde oluşturdukları bilgiyi, sonrakilerde de kullandıkları, Parçalı Fonksiyon ve İşaret Fonksiyonu bilgisini belirli bir düzeyde doğru olarak oluşturabildikleri gözlenmiştir. Çalışma ayrıca, fonksiyonların öğretiminde çevresel olay ve problemlerin kullanılmasının öğrenmeye olan güçlü katkısını ortaya koymuştur.

Lise Öğrencilerinin Parçalı Fonksiyon Üzerine İşaret Fonksiyonu Bilgisini Oluşturma Süreci

In recent years, learning environments have been radically affected by the scientific developments regarding cognitive processes. In our study, we examined high school students’ process of abstraction of the knowledge of signum functions in a learning environment created by considering such developments. In the instruction phase, which employed a case study and group studies with two high school students, three specially-designed sequential problems were used. It was observed that the students used the knowledge they had abstracted for the first problem in order to solve the others, and they abstracted the knowledge of piecewise and signum functions accurately to a certain extent. The study also showed that using environmental events and problems to teach about functions strongly contributes to learning.

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