İlköğretim Matematik Öğretmeni Adaylarının Örüntüleri Genelleme Süreçleri: Stratejiler ve Gerekçelendirmeler

Öz

Bu çalışmanın amacı, ilköğretim matematik öğretmeni adaylarının farklı örüntü problemleri ile ilgili genelleme stratejilerini incelemek, genellemelerinin altında yatan gerekçelendirmeleri keşfetmek ve genelleme ile gerekçelendirmeleri arasındaki ilişkileri belirlemektir. Çalışma nitel araştırma desenlerinden olgubilim modeline göre tasarlanmıştır. Çalışma, Doğu Karadeniz Bölgesindeki bir üniversitenin İlköğretim Matematik Öğretmenliği programında öğrenim gören 4. sınıf öğretmen adayları ile yürütülmüştür. Veri toplama araçları, hem literatür hem de öğretim üyesi desteğiyle hazırlanan ve farklı çözüm stratejilerinin ve gerekçelendirme çeşitlerinin üretilebildiği lineer ve kuadratik örüntü problemleridir. Mülakatlar sonucu toplanan veriler araştırmanın kavramsal çerçevesi dâhilinde betimsel analiz tekniği kullanılarak çözümlenmiştir. Elde edilen sonuçlardan, öğretmen adaylarının en yaygın kullandığı strateji türü fonksiyonel strateji olmakla birlikte, içeriksel, yinelemeli, tahmin-kontrol ve karma stratejileri de kullanmışlardır. Öğretmen adaylarının çoğu gerekçelendirmelerini sayısal kontrol yoluyla doğrulama ile yapmışken, açıklama ve dışsal bilgi kaynağı yoluyla gerekçelendirme yapan öğretmen adayları da tespit edilmiştir.

Anahtar Kelimeler

• Örüntü,gerekçelendirme,Örüntü,genelleme,stratejiler,öğretmen adayları

Pre-Service Elementary Mathematics Teachers’ Generalization Processes of Patterns: Strategies and Justifications

Abstract

The aim of this study is to investigate the generalizations created by pre-service elementary mathematic teachers, to explore the justifications predicted for their generalizations, and to determine any relationships between generalization and justification. We used phenomenology design from qualitative research methods in the study. The study was conducted by the 4th grade students/pre-service teachers who are studying in a department of Elementary Mathematics Teaching at a university located in the Eastern Black Sea region. Data collection tools are linear and quadratic pattern problems which are prepared with the support of literature and teaching staff and in which different solution strategies and justification types can be produced. Interviews were analyzed using the descriptive analysis technique within the conceptual framework of the research. The results show that the most common type of strategy used by pre-service teachers was functional strategy, contextual, recursive, guess-check and mixed strategies. While many of the pre-service teachers have justified their verification by numerical control, pre-service teachers who have justified through explanation and external knowledge sources have also been identified.

Keywords

• Pattern,justification,generalization,strategies,pre-service teachers

Kaynakça

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