At the end of this course, the students; 1) Understand the concept of modeling and the relationship between these concepts. 2) Can model mathematical theorems using auxiliary tools. 3) Demonstrate mathematical concepts using different models. 4) Can carry modeling to the application level.
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
None.
COURSE DEFINITION
The students taking this course are expected to acquire knowledge about mathematical modeling and the modeling process, including understanding the steps of application and potential challenges encountered during application. The course covers topics such as mathematical modeling and problem-solving, perspectives on mathematical modeling, the modeling process, principles of model development, implementation of modeling activities in mathematics classrooms, the role of the teacher in the implementation process, preparation of mathematical modeling activities, examples of mathematical modeling problems and applications, as well as national and international research conducted on mathematical modeling.
COURSE CONTENTS
WEEK
TOPICS
1st Week
Mathematical modelling and problem solving
2nd Week
Models and modelling process in mathematics teaching
3rd Week
Modelling cycle
4th Week
Model development steps
5th Week
Principles of model development
6th Week
Implementation of modelling activities in mathematics classrooms and the role of the teacher
7th Week
Implementation of modelling activities in mathematics classrooms and the role of the teacher
Blum, W., Galbraith, P. L., Henn, H. W., & Niss, M. (2007). Modelling and applications in mathematics education. New York: Springer. Doruk, B. K., & Umay, A. (2011). Matematiği günlük yaşama transfer etmede matematiksel modellemenin etkisi. Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 41(41). Erbaş, A. K., Kertil, M., Çetinkaya, B., Çakıroğlu, E., Alacacı, C., & Baş, S. (2014). Matematik eğitiminde matematiksel modelleme: Temel kavramlar ve farklı yaklaşımlar. Kuram ve Uygulamada Eğitim Bilimleri, 14(4), 1-21. Didiş-Kabar, M. G. (2017). Matematik öğretmenlerinin matematiksel modelleme ve modelleme etkinliklerinin matematik derslerinde kullanılması hakkındaki görüşleri. Eğitim ve Öğretim Araştırmaları Dergisi, 6(4), 118-128.