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Öğrencilerin Kuyruklu Yıldız Problemi’ne İlişkin Çözüm Yaklaşımlarının Matematiksel Modelleme Süreci Çerçevesinde İncelenmesi

Examining Students’ Solutions Regarding the Comet Problem in the Frame of Mathematical Modeling Process

Journal Name:

  • Mehmet Akif Ersoy Üniversitesi Eğitim Fakültesi Dergisi

Publication Year:

  • 2014

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Keywords (Original Language):

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Abstract (2. Language): 
The purpose of the study is to examine students' solutions regarding the Comet Problem in the framework of mathematical modeling process. In the study conducted with ten secondary students, the data were collected through the written solutions to the Comet Problem solved by the students individually and the transcriptions of the video recordings including the students' think-alouds during the solution process. The rubric prepared by considering the seven-stage mathematical modeling process was used in the analysis of the problem. It was seen that the students' performances decreased gradually while going through the stages of the modeling process. The students did not display any approaches in the stage of the validation of the model. It is advised that students should be faced with much more mathematical modeling applications, and their approaches should be improved in the modeling process.
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Abstract (Original Language): 
Bu çalışmanın amacı, matematiksel modelleme süreci çerçevesinde öğrencilerin Kuyruklu Yıldız Problemi'ne ilişkin çözüm yaklaşımlarını incelemektir. On ortaöğretim öğrencisiyle gerçekleştirilen araştırmada veriler öğrencilerin bireysel olarak çözdükleri Kuyruklu Yıldız Problemi'nin yazılı yanıt kağıtlarından ve çözüm süreçlerinde sesli düşünmelerini içeren video kayıtları çözümlemelerinden derlenmiştir. Problemin analizinde yedi basamaklı matematiksel modelleme süreci dikkate alınarak hazırlanan dereceli puanlama anahtarından yararlanılmıştır. Modelleme süreci basamaklarında ilerledikçe öğrencilerin performanslarının azaldığı görülmüştür. Öğrenciler modeli doğrulama basamağında hiç bir yaklaşım sergilememişlerdir. Öğrencilerin daha fazla matematiksel modelleme uygulamaları ile karşılaşmaları ve böylelikle modelleme süreci basamaklarındaki yaklaşımlarını geliştirmeleri sağlanmalıdır.
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