Information Package

Elementary Mathematics Education Program

EMT452

MATHEMATICAL MODELLING

Course Code
EMT452
Semester
-
Theory+Practice
3 + 0
ECTS
4
Course TypeElective Course
Course LevelBachelor's Degree
Year of Study-
Semester-
ECTS4
Name of Lecturer(s) -
Learning Outcomes

At the end of this course, the students;

  1. Understand the concept of modeling and the relationship between these concepts.
  2. Will be able model mathematical theorems using auxiliary tools.
  3. Demonstrate mathematical concepts using different models.
  4. Will be able carry modeling to the application level.
Mode of DeliveryFace to face
PrerequisitesNo
Recommended Optional Programme ComponentsNone.
Course DescriptionThe 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
8th Week Midterm
9th Week Preparing mathematical modelling activities
10th Week Preparing mathematical modelling activities
11th Week Monitoring students' mathematical thinking processes
12th Week Project
13th Week Project Presentation
14th Week Project Presentation
15th Week General review
Recommended or Required ReadingBlum, 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.
Planned Learning Activities and Teaching Methods
  • Lecture
  • Discussion
  • Questions/Answers
  • Project
  • Presentation
Assessment Methods and Criteria
Quantity Percentage (%)
Mid-term 1 40
Project 1 10
Total(%) 50
Contribution of In-term Studies to Overall Grade(%) 50
Contribution of Final Examination to Overall Grade(%) 50
Total(%) 100
ECTS Allocated Based on Student Workload
Activities Quantity Duration (Hour) Total Workload (Hour)
Midterm exam 1 2 2
Preparation for Quiz
Individual or group work 13 2 26
Preparation for Final exam 1 25 25
Course hours 13 3 39
Preparation for Midterm exam 1 15 15
Laboratory (including preparation)
Final exam 1 2 2
Homework
Project 1 11 11
Total Work Load120
Total Work Load / 30 (h)4
ECTS Credit of the Course4
Language of InstructionTurkish
Work Placement(s)No
LO1 LO2 LO3 LO4
K1 X X X X
K2
K3
K4 X X X X
K5
K6
K7
K8 X X
K9 X X X X
K10