Review of Mathematical Modeling Research: A Descriptive Content Analysis Study

Year 2023, , 994 - 1025, 02.01.2024

İbrahim Çetin , Mustafa Aydın , Şerife Bilgiç

https://doi.org/10.17522/balikesirnef.1321365

Abstract

Recently, mathematical models and modeling practices have become popular in associating mathematics with real-life problems and, hence understanding this relationship. Accordingly, the mathematical modeling skill has been adopted in the standards and by researchers. Understanding the use of mathematical modeling in the learning and teaching processes of mathematics education will contribute to the future of the field. This study aimed to review the trends in mathematical modeling literature using leading research studies. This study reviewed the various types of studies indexed in the Web of Science database between 2000 and 2021 regarding how they addressed modeling. As well as mathematical modeling approaches used, the studies were reviewed in terms of basic characteristics such as publication year, sample, and research method. We evaluated studies using a form developed by the researchers, and the study revealed an increase in the number of studies over the years, and the studies were conducted mostly with pre-service teachers. In addition, we observed that research studies employed mostly small samples to closely monitor the modeling process.

Keywords

mathematical modeling, mathematics, modeling, mathematics education, descriptive content analysis

Matematiksel Modelleme Araştırmalarının İncelenmesi: Betimleyici Bir İçerik Analizi Çalışması

Abstract

Matematiğin gerçek yaşamdaki problemlerle ilişkilendirilmesi ve anlamlandırılmasında matematiksel modeller ve modelleme uygulamaları gün geçtikçe daha da benimsenir hale gelmiştir. Bu doğrultuda bir yetkinlik olarak geliştirilen matematiksel modelleme becerisi ise hem standartlar arasında hem de araştırmacılar tarafında yer edinmiştir. Özellikle matematik eğitiminde öğrenme ve öğretme süreçlerinde matematiksel modellemenin kullanımının anlaşılması bu çalışmaların geleceği için katkı sağlayacaktır. Bu araştırmada matematik eğitiminde modelleme çalışmalarına ilişkin eğilimlerin önde gelen çalışmalar üzerinden değerlendirilmesi amaçlanmıştır. Web of Science veri tabanında indekslenen araştırmalarla yürütülen çalışmada 2000-2021 yılları arasındaki farklı türdeki araştırmaların modelleme çalışmalarını hangi yönleriyle ele aldığı incelenmiştir. Bu çalışmalarda kullanılan matematiksel modelleme yaklaşımlarının yanı sıra araştırmalar yıl, örneklem ve kullanılan yöntem gibi temel özellikleri bakımından ele alınmıştır. Araştırmacılar tarafından geliştirilen form üzerinden değerlendirilen çalışmalar yıllara göre bu çalışmalarda beklendiği gibi bir artış meydana geldiğini, öğretmen adayları ile çoğunlukla araştırmaların yürütüldüğünü göstermiştir. Ayrıca araştırmada modelleme sürecinin yakından izlenmesi amacıyla çoğunlukla daha küçük araştırma grupları ile çalışmaların yürütüldüğü görülmüştür. Eğitsel modelleme ve gerçekçi modelleme yaklaşımlarının incelenen araştırmalarda öne çıkan modelleme yaklaşımları olduğu görülmüştür. Araştırma sonuçları, öğrencilerin sorumlu vatandaş olabilmeleri ve toplumsal gelişmelere katılım sağlayabilmeleri için bir yetkinlik olarak görülen modelleme becerisine ilişkin çalışmaların literatürde halen sınırlı bir yer tuttuğunu göstermiştir.

Keywords

matematiksel modelleme, matematik, modelleme, matematik eğitimi, betimsel içerik analizi

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