Matematiksel Modelleme Eğitiminin İlköğretim Matematik Öğretmeni Adaylarının Matematiksel Modellemenin Doğasına İlişkin Bilgilerine Katkısı: Bir Eylem Araştırması

Yıl 2021, Cilt: 6 Sayı: 1, 124 - 145, 25.06.2021

Muhammet Şahal , Ahmet Özdemir

Öz

Matematiksel modelleme gerçek yaşamla matematik arasındaki ilişkileri kurmada öne çıkan araştırma alanlarından biridir. Öğrencilerin matematiksel dünya ile gerçek dünya arasında geçiş yapmalarına olanak sağlayacak öğrenme ortamlarına girmeleri için geleceğin öğretmenlerinin matematiksel modelleme ile ilgili yetkinlik kazanmaları gerekir. Öğretmen adayları, uygulamadan önce matematiksel model ve modellemenin doğasına ilişkin temel bilgilere hâkim olmalıdır. Bu bağlamda eylem araştırması kapsamında bir teorik eğitim planı hazırlanmış ve on dokuzu pilot uygulamada, yirmi biri asıl uygulamada olmak üzere kırk ilköğretim matematik öğretmeni adayı ile çalışma yürütülmüştür. Veriler açık uçlu anket, gözlem ve eğitim sürecindeki video kayıtlar aracılığıyla toplanarak içerik analizine tabi tutulmuştur. Katılımcıların eğitim süreci öncesinde model ve modelleme kavramlarına ilişkin somut öğretim materyali, maket ve rol model gibi algılara sahip olduğu görülürken; eğitim süreci sonunda literatürde yer alan matematiksel model ve modelleme kavramlarının tanımlarına yakın cevaplar verdikleri tespit edilmiştir. Çalışmada yürütülen eğitim sürecinin öğretmen adaylarının matematiksel modellemenin doğasına ilişkin bilgilerini geliştirmelerine olanak sağladığı sonucuna ulaşılmıştır.

Anahtar Kelimeler

Matematiksel modelleme, Matematik öğretmeni adayları, Matematik eğitimi, Eylem araştırması

The Contribution of Mathematical Modeling Course to Pre-service Mathematics Teachers’ Knowledge about the Nature of Mathematical Modeling: An Action Research

Öz

Mathematical modeling is the one of the prominent research areas in establishing connections between real life and mathematics. Future teachers need to be competent about mathematical modeling so that their students experience the learning environments that enable them to move between mathematical world and real-world. Before practicing, pre-service teachers ought to have a grasp of basic knowledge about nature of mathematical modeling. In this context, a theoretical program was developed within the scope of action research and forty pre-service secondary mathematics teachers, nineteen of them in the pilot study and twenty one of them in the main study, participated to the study. Data was collected through open-ended questionnaire, observation notes and video recordings and analyzed by content analysis. While it was found that the participants had perceptions about model and modeling concepts relating to concrete teaching materials, mock-up and role model at the beginning of the study; it was reached that their answers were close to the definitions of mathematical model and modeling concepts in the literature at the end of the study. It was concluded that the program carried out in the study enabled pre-service teachers to enhance their knowledge about the nature of mathematical modeling.

Anahtar Kelimeler

Mathematical modeling, Pre-service mathematics teachers, Mathematics education, Action research

Kaynakça

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