Geometry for Teachers

Course Code:

EDEM 240

Course Period:

Autumn

Course Type:

Core

P:

3

Credits:

3

ECTS:

5

Course Language:

İngilizce

Course Objectives:

The aim of this course is to discuss fundamental concepts and theorems of Euclidean geometry covered in mathematics curriculum and the relationships between those concepts.

Course Content:

The properties and concepts under geometry domain in the mathematics curriculum (fundamental geometric concepts and constructions, triangles and quadrilaterals, triangles, measurement of length, area, and volume, geometric solids, angles, lines and angles, circle, transformations, polygons, congruency and similarity); relationship between those concepts; discussion of mathematical concepts and use of multiple representations; proves of selected theorems.

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 fundamental concepts of Euclidean geometry.	1, 2	1, 3, 7	A, E
2	Solves problems and proves theorems related to triangles.	1, 2, 3	1, 3, 7	A, E
3	Solves problems and proves theorems related to quadrilaterals.	1, 2, 3	1, 3, 7	A, E
4	Solves problems and proves theorems related to circles.	1, 2, 3	1, 3, 7	A, E
5	Solves problems and proves theorems related to geometric solids.	1, 2, 3	1, 3, 7	A, E

Course Flow

Weeks	Course Topics	Reading/links	Assignment
1	Characteristics of Euclidean geometry
2	Lines and angles
3	Fundamental constructions in geometry
4	Triangles
5	Triangles		Quiz 1
6	Triangles
7	Congruency
8	Midterm
9	Similarity
10	Quadrilaterals
11	Quadrilaterals
12	Circle		Quiz 2
13	Circle
14	Solids
	FINAL EXAM

Recommended Sources

Carter, J. A., Cuevas, G. J., Day, R., Malloy, C., & Cummins, J. (2012). Geometry. Columbus, OH: McGraw Hill.
Challenging geometry questions in Euclidean geometry for high school students. Karekök Publishing.
Other lecture notes will be available on YULEARN.

Material Sharing

COURSE MATERIALS
Documents
Assignments
Exams	Midterm and final exams

Assessment

Items	Points
Quizzes	30
Midterm	30
Final	40
Total	100

Course’s Contribution to Program

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
Quiz	2	5	10
Final	1	10	10
Total Workload			120
Total Workload / 25 (hours)			4.8
ECTS			5

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