Investigating the statistical reasoning skills of secondary school mathematics teachers

Öz

In this study, it is aimed to evaluate the statistical reasoning skills of secondary school mathematics teachers within the scope of their content knowledge and to examine their approaches to reveal their content knowledge about statistical reasoning. Within the scope of the study, teachers' domain knowledge of statistical reasoning and their approaches to revealing statistical reasoning domain knowledge; It was examined according to the types of reasoning about changeability, reasoning about distribution, informal inferential reasoning and reasoning about the center covered by the distribution. The case study method, which is among qualitative research, was used in the study. The participants of the study are 17 secondary school mathematics teachers (10 men, 7 women). These teachers are determined by using the typical sampling method, which is among the purposive sampling methods. As a data collection tool, it is used the statistical reasoning content information form (IAY-AB), which reveals the statistical reasoning skills in line with the field knowledge. The analysis of the data is made by using the rating scale prepared by Gökçe (2019, p. 97). The data are subjected to content analysis according to the indicators in the rating scale. In line with the findings, it was determined that secondary school mathematics teachers' field knowledge of statistical reasoning was not at the expected level and needed to be improved. As a result of the study, it was seen that a significant portion of the participants had low and medium level reasoning skills in questions that included four reasoning skills together, which they used in their approach to revealing their field knowledge of statistical reasoning. Based on the results of this study, activities for the development of statistical reasoning skills can be planned and the effects of these activities on teachers can be observed.

Anahtar Kelimeler

• Approach to revealing content knowledge
• Statistical reasoning
• Content knowledge
• reasoning

Ortaöğretim matematik öğretmenlerinin istatistiksel akıl yürütme becerilerinin incelenmesi

Öz

Bu çalışmada ortaöğretim (lise) matematik öğretmenlerinin istatistiksel akıl yürütme becerilerinin, alan bilgileri kapsamında değerlendirilmesi ve istatistiksel akıl yürütmeye dair alan bilgilerini ortaya koyma yaklaşımlarının incelenmesi amaçlanmıştır. Çalışma kapsamında öğretmenlerin istatistiksel akıl yürütmeye dair alan bilgisi ve istatistiksel akıl yürütme alan bilgisini ortaya koyma yaklaşımları; değişebilirliğe ilişkin akıl yürütme, dağılıma ilişkin akıl yürütme, informel çıkarımsal akıl yürütme ve dağılımın kapsadığı merkez ile ilgili akıl yürütme çeşitlerine göre incelenmiştir. Çalışmada nitel araştırmalar içerisinde yer alan özel durum çalışması yöntemi kullanılmıştır. Çalışmanın katılımcılarını 17 ortaöğretim matematik öğretmeni (10 erkek, 7 kadın) oluşturmaktadır. Söz konusu öğretmenler amaçlı örnekleme yöntemleri arasında yer alan tipik durum örnekleme yöntemi kullanılarak belirlenmiştir. Veri toplama aracı olarak istatistiksel akıl yürütme becerilerini alan bilgileri doğrultusunda ortaya koyan istatistiksel akıl yürütmeye dair alan bilgisi formu (İAY-AB) kullanılmıştır. Söz konusu form Gökçe (2019) tarafından hazırlanmış olup; beş adet açık uçlu sorudan oluşmaktadır. Verilerin analizi Gökçe (2019, s. 97) tarafından hazırlanan derecelendirme ölçeği kullanılarak ve alt problemlere göre ayrı ayrı ele alınarak yapılmıştır. Derecelendirme ölçeğindeki göstergeler baz alınarak veriler içerik analizine tabii tutulmuştur. Elde edilen bulgular doğrultusunda ortaöğretim matematik öğretmenlerinin istatistiksel akıl yürütmeye dair alan bilgilerinin beklenen düzeyde olmadığı, geliştirilmesi gerektiği tespit edilmiştir. Çalışma sonucunda katılımcıların önemli bir bölümünün istatistiksel akıl yürütmeye dair alan bilgilerini ortaya koyma yaklaşımlarında kullandıkları dört akıl yürütme becerisini bir arada içeren sorularda düşük ve orta düzeyde akıl yürütme becerisine sahip oldukları görülmüştür. Bu çalışmanın sonuçlarından hareketle istatistiksel akıl yürütme becerilerinin gelişimine yönelik etkinlikler planlanarak, bu etkinliklerin öğretmenler üzerindeki etkileri gözlemlenebilir.

Anahtar Kelimeler

• Alan bilgisi
• Alan bilgisini ortaya koyma yaklaşımı
• İstatistiksel akıl yürütme
• Akıl yürütme

Kaynakça

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