Quantitative Reasoning: Reflections on Solving Real-World Problems

Öz

The purpose of this research is to determine the role of quantitative reasoning in the problem-solving process of the two students who go in sixth grade of secondary school. In this research, in which the qualitative research method is adopted, there were five weeks of instruction carried out with students who go in sixth grade of secondary school in order to determine how the development of quantitative reasoning led to a change in problem-solving ability. Clinical interviews were conducted with students selected as the focus at the beginning and end of the process. Data from this study were also collected from the data of two focal students who were interviewed clinically. In clinical interviews, the real world problems with simple, moderate and high difficulty levels were used in quantitative difference, complex additive situations, combination of differences and quantitative ratio. In addition to this, student work sheets, student diaries and researcher's diary were also used as support data. In the analysis of the data, the thematic analysis method was used. As a result of the research, it was observed at the interviews that the quantitative reasoning skills of the two students, who had low quantitative reasoning ability at the preliminary talks, changed at the end of the teaching process. It has been determined that this change is reflected in the problem solving process of the students and that they are also successful in the problems with medium and high difficulty level according to the pre-teaching. In this process, it has been observed that students can solve problems more than one way, choose appropriate strategies for their problem situations and also increase the use of visual representation which has an effective place to do quantitative reasoning.

Anahtar Kelimeler

• Clinical interview,Mathematics ecucation,Quantitative reasoning,Secondary school

Nicel Muhakeme: Gerçek Yaşam Problemlerinin Çözüm Sürecinden Yansımalar

Öz

Bu araştırmanın amacı, ortaokul altıncı sınıfa devam eden iki öğrencinin nicel muhakeme gelişimlerinin problem çözme sürecindeki rolünü belirlemektir. Nitel araştırma yönteminin benimsendiği bu araştırmada nicel muhakeme gelişiminin problem çözme becerisinde nasıl bir değişime yol açtığını belirleyebilmek için öncelikle altıncı sınıfa devam eden öğrenciler ile beş hafta süren bir öğretim gerçekleştirilmiştir. Bu sürecin başında ve sonunda odak olarak seçilen öğrenciler ile de klinik görüşmeler yapılmıştır. Bu araştırmanın verileri de klinik görüşme yapılan iki odak öğrencinin verilerinden toplanmıştır. Klinik görüşmelerde nicel fark, karmaşık toplamsal durumlar, farkların kombinasyonu ve nicel oran türünde basit, orta ve yüksek güçlük düzeyine sahip gerçek yaşam problemleri kullanılmıştır. Bunun yanı sıra öğrenci çalışma yapraklarından, öğrenci günlüklerinden, araştırmacının günlüğünden destek veri olarak da yararlanılmıştır. Araştırmada verilerin analizinde tematik analiz yöntemi kullanılmıştır. Araştırma sonucunda ön görüşmelerde düşük nicel muhakeme becerisine sahip olan iki öğrencinin öğretim süreci sonunda yapılan görüşmelerde nicel muhakeme becerilerinin gözle görülür şekilde değiştiği gözlenmiştir. Bu değişimin öğrencilerin problem çözme süreçlerine yansıdığı ve öğretim öncesine göre özellikle güçlük düzeyi orta ve yüksek olan problemlerde de başarılı oldukları belirlenmiştir. Bu süreçte öğrencilerin problemleri birden fazla yolla çözebildikleri, problem durumlarına uygun stratejileri seçebildikleri gözlenmiş, ayrıca nicel muhakeme yapabilmede etkin bir yere sahip olan görsel temsil kullanımının da arttığı belirlenmiştir. 

Anahtar Kelimeler

• Klinik görüşme,Matematik eğitimi,Nicel muhakeme,Ortaokul öğrencileri

Kaynakça

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