Identification of Mathematical Talent: Similarity and Relation based Model of Thinking in Math
Keywords:
matematiksel yetenek, matematikte üstün yetenekli, tanılama, benzerlik, ilişkiAbstract
Abstract
There are many debates about identification of math- ematically talented students. In this study, a model called as Similarity and Relation based Model of Thinking in Math, which was developed to identify and educate mathematically gifted and talented stu- dents was explained. The model consisted of three main structures as problem solving, problem posing and problem comparing. Each of these structures has two sub-structures based on similarity and relation concepts, which are called as similarity based problem solving, relation based problem solving, similarity based problem posing, relation based problem pos- ing, finding similar problems and finding related problems. The model was developed on the basis of how mathematicians work and the core skills mathe- maticians use. In the model, analogical thinking which is one of the core cognitive abilities is consid- ered as similarity and relation based thinking. This model is based on one of the core cognitive abilities, with this respect it differs from the other models in the literature. By using this model, paper-pencil tests, al- ternative assessment tools for identification of mathe- matically talented students can be developed and ed- ucational activities and programs for mathematically talented students can be developed.
Key Words: mathematical talent, identification, simi- larity, relation
Öz
Matematikte üstün yeteneklileri tanılamayla ilgili alan yazında çeşitli tartışmalar mevcuttur. Bu çalış- mada matematik alanında üstün yetenekli öğrencile- rin tanılanma ve eğitim sürecinde kullanılmak ama- cıyla geliştirilen Matematikte Benzerlik ve İlişki Te- melli Düşünme Modeli tanıtılmıştır. Model problem çözme, problem kurma ve problemleri karşılaştırma olarak adlandırılan üç ana yapı ve bu yapıların her bi- rinde benzerlik ve ilişki kavramları temel alınarak oluşturulmuş benzerliğe dayalı problem çözme, iliş- kiye dayalı problem çözme, benzerliğe dayalı prob- lem kurma, ilişkiye dayalı problem kurma, benzer problemleri bulma ve ilişkili problemleri bulma ola- rak adlandırılan altı alt bileşenden oluşmaktadır. Mo- del matematikçilerin nasıl çalıştığı ve matematiksel yetenek için çekirdek olan becerilerin neler olduğu- nun araştırılması üzerine geliştirilmiştir. Modelde çe- kirdek bilişsel becerilerden biri olan analojik dü- şünme, benzerlik ve ilişki temelli düşünme olarak ele alınmıştır. Model matematiksel yeteneği tanılamada çekirdek bir beceriyi temel alması yönüyle alan yazın- daki diğer modellerden farklılaşmaktadır. Model kul- lanılarak matematikte üstün yeteneklileri tanılamada kağıt kalem testleri, alternatif değerlendirme araçları ile eğitsel etkinlik ve programların da geliştirilmesi umulmaktadır.
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