Mathematical Modelling and Problem Solving

Course Code:

EDEM 484

Course Type:

Elective

P:

3

Credits:

3

ECTS:

5

Course Language:

İngilizce

Course Objectives:

The aim of this course is to discuss definition of problem solving and mathematical modelling and make practice on writing and solving problems and modelling problems.

Course Content:

Definition and samples of mathematical modelling problems. Problem solving and problem solving strategies. Historical development of mathematical modelling. Developing mathematical modelling problems for middle school and high school students. Applications of problem solving and mathematical modelling problems.

Course Methodology:

1. Lecture 2. Case study 3. Discussion 4. Demonstration 5. Group work 6. Microteaching 7. Problem solving

Course Evaluation Methods:

A. Supply type B. Multiple-choice test C. Incomplete D. True-False E. Oral exam F. Portfolio G. Performance type H. Report

Vertical Tabs

Course Learning Outcomes

Learning Outcomes	Program Outcomes	Teaching Methods	Assessment Methods
1) Explains problem solving steps.	2, 3	1, 3	A, E
2) Explains problem solving strategies through examples.	2, 3	1, 3, 7	A, E
3) Defines mathematical modelling.	3	1, 3, 7	A, E
4) Uses different problem strategies to solve mathematical and real life problems.	2, 3, 6	7	A, E
5) Writes problems aligned with learning objectives identified in math curriculum.	1, 2, 3, 6	5, 7	A, E, H
6) Writes and solves mathematical modelling problems.	1, 2, 3, 6	3, 5, 7	A, E, H

Course Flow

COURSE CONTENT
Week	Topics	Study Materials
1	Problem solving and problem solving steps
2	Problem solving strategies (Guess, check and revise, Elimination, Reasoning, Consider a simple case)
3	Problem solving strategies (Using models, charts and tables, Role play, Working backwards, looking for patterns, Using equations)
4	Mathematical modelling in middle schools
5	Mathematical modelling in high schools
6	Midterm
7	Setting up and solving algebra problems
8	Modelling problems in algebra
9	Modelling problems in algebra
10	Setting up and solving geometry problems
11	Modelling problems in geometry
12	Setting up and solving probability and statistics problems
13	Modelling problems in probability and statistics
14	Modelling problems in pre-calculus

Recommended Sources

RESOURCES

Compulsory

Lecture notes

Recommended

1) Zaccaro, E. (2006). Becoming a problem solving genius: A handbook of math strategies. Iowa: Hickory Grove Press.

2) Günlük Hayattan Modelleme Soruları. TÜBA Yayınları

3) Engel, A. (1998). Problem solving strategies. NY: Springer.

4) TÜBİTAK Matematik Olimpiyat Soruları

5) İlköğretim ve lise matematik öğretim programları

Material Sharing

COURSE MATERIALS
Documents	Lecture notes and worksheets
Assignments	Assignment 1: Set up 3 problems (one of them will be a modelling problem) in algebra and solve them by using different strategies. Assignment 2: Set up 3 problems (one of them will be a modelling problem) in geometry and solve them by using different strategies. Assignment 3: Set up 3 problems (one of them will be a modelling problem) in probability and statistics and solve them by using different strategies.
Exams

Assessment

ASSESSMENT
IN-TERM STUDIES	Quantity	Percentage
Midterm	1	30

Final	1	40
Assignment	3	30
Total		100
Contribution of Final Exam to Overall Grade		40
Contribution of In-term Studies to Overall Grade		60
Total		100

Course’s Contribution to Program

COURSE CONTRIBUTION TO PROGRAM OUTCOMES
No	*Program Outcomes*	*Level of contribution*
No	*Program Outcomes*	1	2	3	4	5
1	Knows historical, cultural and scientific developments of the mathematical and geometrical concepts covered in elementary school mathematics curriculum.					X
2	Applies fundamental mathematical and geometric concepts into other disciplines and real life situations.					X
3	Applies mathematical processes (e.g. problem solving, proving theorems, etc.) into given cases accurately.					X
4	Plans for teaching mathematics in line with the elementary school mathematics curriculum’s vision, philosophy and goals.				X
5	Uses teaching strategies and techniques that are appropriate for students’ age, grade level, individual differences and readiness level.				X
6	Determines and applies appropriate strategies and materials to foster and evaluate students’ mathematical thinking skills.					X
7	Uses and develops appropriate resources and materials to teach mathematics.				X
8	Monitors students’ learning process, development and achievement and assesses them by using appropriate assessment tools.			X
9	Improves professional knowledge by following recent issues in mathematics education		X
10	Contributes to the development of mathematics education by doing scientific research	X

ECTS

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
*Activities*	*Quantity*	Duration (Hour)	*Total Workload (Hour)*
Course hours (including the exam week: 15 x total course)	15	3	45
Hours for off-the-classroom study (pre-study, practice)	15	3	45
Midterm	1	10	10

Assignment	3	8	24
Final Exam	1	10	10
Total Workload			134
Total Workload / 25 (hours)			5.3
ECTS			5

Search form