Sibel YEŞİLDERE-İMRE, Hatice AKKOÇ, Burcu Nur BAŞTÜRK-ŞAHİN

Ortaokul Öğrencilerinin Farklı Temsil Biçimlerini Kullanarak Matematiksel Genelleme Yapma Becerileri

Bu araştırmada farklı temsil biçimleriyle sunulan örüntüleri genellemede öğrencilerin düşünme şekillerini ve genelleme yapma türlerini incelemek amaçlanmaktadır. Öğrencilerin kullandıkları genelleme türlerinin kuramsal çerçeve bağlamında incelenmesi, cebirsel genelleme yapmaya engel olan düşünme şekillerinin belirlenmesi ve öğrencilerin farklı temsil biçimlerini genelleme yapma yönünde kullanma şekillerinin saptanması hedeflenmektedir. Bu bağlamda araştırmada örnek olay tarama modeli kullanılmıştır. Katılımcılar amaçlı örnekleme yöntemi ile seçilmiştir. Çalışma altıncı, yedinci ve sekizinci sınıfta okuyan 92 öğrenciyle gerçekleştirilmiştir. Elde edilen veriye betimsel ve içerik analizi uygulanmıştır. Veri analizi öğrencilerin cebirsel genelleme yerine aritmetik genelleme eğilimlerinin olduğunu göstermiştir. Öğrenciler şekil örüntülerini kullanarak cebirsel genelleme yapmada güçlük çekmişlerdir. Şekil örüntülerini sayı örüntüsüne dönüştürmüşler ve şekil örüntüsünden etkili şekilde yararlanamamışlardır.

Anahtar Kelimeler:

Genelleme, cebirsel genelleme, temsiller

Middle School Students' Mathematical Generalization Abilities with the use of Different Representations

The purpose of this research is to examine the forms of thinking and generalization types of students during the generalization of the patterns presented with different representations. It is aimed to examine the generalizations used by the students through the theoretical framework, to determine the forms of thinking that prevent them from making algebraic generalization and to determine the use of different representations of the students. For this purpose, case survey research is used in the research. Participants were selected by purposeful sampling method. The study was conducted with 92 students studying in the sixth, seventh and eighth grades. Descriptive and content analysis were used to analyze the data. Data analysis has shown that students tended to have arithmetic generalizations rather than algebraic generalizations. Students have difficulties in making algebraic generalizations using pictorial patterns. They have transformed visual patterns into number patterns and have not been able to make effective use of pictorial patterns.

Keywords:

Generalization, algebraic generalization, representations,

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