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MATEMATİK ÖĞRETMENLERİNİN MATEMATİKSEL ALAN BİLGİLERİ İLE PEDAGOJİK ALAN BİLGİLERİ ARASINDAKİ İLİŞKİNİN İNCELENMESİ

AN ANALYSIS ON THE RELATIONSHIP BETWEEN THE PEDAGOGICAL AND MATHEMATICAL CONTENT KNOWLEDGE OF MATHEMATICS TEACHERS

Journal Name:

  • The Journal of Academic Social Science Studies

Publication Year:

  • 2012
DOI: 
http://dx.doi.org/10.9761/JASSS_379

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
Nowadays, considerable changes are taking place within mathematics education as to what mathematics is and how it should be taught. With the changing perspective in education, a shift has occurred from conveying the existing knowledge to showing ways to reach educational knowledge in teacher-student relationships. Therefore, well-trained teachers play a crucial role in the education system. The purpose of this study is to determine the relationship between mathematics teachers’ pedagogical content knowledge and mathematical content knowledge. 41 mathematics teachers took part in this study and the qualitative research design was applied. In this framework, eight open-ended questions were asked for data gathering purposes. Data were gathered from semi-structured interviews and teachers' written explanations. The content and descriptive analysis method was used for data analysis. According to the data, there was a relationship between teachers’ mathematical content knowledge and pedagogical content knowledge. The results of the study showed that most of the teachers’ knowledge of mathematics was inadequate for teaching mathematics in some fields and that teachers’ instructional explanations were in the form of a restatement of the procedures. It was concluded that few teachers’ instructional explanations about some mathematics statements were at a conceptual (content, epistemic or problem-solving levels) level and most of the teachers’ of mathematics content knowledge at this level was correct.
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Abstract (Original Language): 
Günümüzde, matematik eğitiminde, matematiğin ne olduğu, ne ölçüde ve nasıl öğretilmesi gerektiği konularında önemli düşünce değişiklikleri ve yenilikler olmaktadır. Bu doğrultuda, matematik eğitiminde değişiklikler olmuş, öğretmenlerin rolü, derslerinde öğrencilere mevcut bilgiyi aktarmaktan çok, bilgiye ulaşma yollarını kazandırmak olarak değişmiştir. Dolayısıyla etkili bir eğitim sisteminde, iyi yetişmiş matematik öğretmenleri önemli hale gelmiştir. Bu kapsamda, çalışmanın amacı, matematik öğretmenlerinin pedagojik alan bilgileri ile matematiksel alan bilgileri arasındaki ilişkiyi ortaya koymaktır. Çalışmaya 41 ilköğretim matematik öğretmeni katılmış ve çalışmada, nitel araştırma deseni kullanılmıştır. Bu amaçla, çalışmada sekiz açık uçlu soru hazırlanmıştır. Verilerin toplanmasında yarı yapılandırılmış mülakat ve öğretmenlerin yazılı açıklamaları kullanılmıştır. Verilerin analizinde ise, betimsel analiz ve içerik analizinden yararlanılmıştır. Elde edilen verilere göre, öğretmenlerin pedagojik alan bilgileri ile matematiksel alan bilgileri arasında yakın bir ilişki olduğu ortaya çıkmıştır. Çalışmadan elde edilen sonuçlar, öğretmenlerin çoğunun bazı konularda matematiksel bilgilerinin matematik öğretimi için yetersiz olduğunu, matematiksel anlamalarının genelde işlemsel düzeyde olduğunu ve buna bağlı olarak verdikleri öğretimsel açıklamaların da işlemsel düzeyde olduğunu göstermektedir. Yine çalışmadan elde edilen verilerden, az sayıda öğretmenin kavramsal düzeyde (kavram düzeyi, epistemik düzey, problem çözme düzeyi) öğretimsel açıklama yaptığı ve bu düzeyde öğretimsel açıklama yapan öğretmenlerin çoğunun, verilen bazı matematiksel durumlarla ilgili matematiksel alan bilgilerinin doğru olduğu görülmüştür.
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