İlköğretim Matematik Öğretmenliği
Lisans	Programın Süresi: 4	Kredi Sayısı: 240	TYYÇ: 6. Düzey	QF-EHEA: 1. Düzey	EQF: 6. Düzey

Ders Genel Tanıtım Bilgileri

School/Faculty/Institute

Faculty of Education

Course Code

MATH 231

Course Title in English

Analytical Geometry

Course Title in Turkish

Analytical Geometry

Language of Instruction

Type of Course

Flipped Classroom

Level of Course

Seçiniz

Semester

Güz

Contact Hours per Week

Lecture: 3 hours

Recitation:

Lab:

Other:

Estimated Student Workload

122 hours per semester

Number of Credits

5 ECTS

Grading Mode

Standard Letter Grade

Pre-requisites

None

Expected Prior Knowledge

None

Co-requisites

None

Registration Restrictions

None

Overall Educational Objective

Course Description

Course Description in Turkish

Düzlem analitik geometride nokta ve doğru ilişkisi, düzlemde vektörler, doğru ve temel problemler, çember ve temel problemler, elips ve temel problemler, hiperbol ve temel problemler, parabol ve temel problemler. Üç boyutlu uzayda vektörler, doğru ve düzlem denklemleri, doğru ve düzlemin vektörel denklemleri ve ilgili problemler. Uzayda konikler, düzlem ve koniklerin kesitleri. Ayrıca, geometrinin tanımı, yapısı ve gerçek hayatta kullanımı. Aksiyom, tanımsız kavram, teoremin açıklanması. Öklid ve Öklid dışı geometriler, Öklid geometrisinin temel aksiyomları. Nokta, doğru ve düzlem kavramları arasındaki ilişkiler. Açı kavramı, çeşitleri, açıların eşliği ve eşlik aksiyomları, açılar ile ilgili uygulamalar. Çokgen kavramının tanımı. Üçgen kavramının tanımı, üçgen çeşitleri, üçgenin temel ve yardımcı elemanları, üçgenler ile ilgili eşlik aksiyom ve teoremleri, üçgenlerde eşlik ile ilgili uygulamalar, üçgenler ile ilgili benzerlik teoremleri, üçgenlerde benzerlik ile ilgili uygulamalar. Yamuk, paralelkenar, eşkenar dörtgen, dikdörtgen, kare, deltoit gibi geometrik kavramlara dönük teoremlerin ispatlanması. Dörtgenler ile ilgili uygulamalar. Çember ve daire kavramları, çember ve dairede açı ve uzunluk ile ilgili teorem ve ispatları, çember ve dairede açı ve uzunluk ile ilgili uygulamalar. Uzayda cisimlerin özellikleri, katı cisimlerin alan ve hacimleri ilgili uygulamalar.

Course Learning Outcomes and Competences

Upon successful completion of the course, the learner is expected to be able to:
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Program Learning Outcomes/Course Learning Outcomes	1	1	2	3	4	5	6	7
1) Apply effective and student-centered specific teaching methods and strategies in order to improve students’ mathematical thinking and problem solving skills.
2) Design lesson plans based on how students learn mathematics and students’ difficulties in learning mathematics.
3) Demonstrate knowledge in various areas of mathematics (such as analysis, algebra, linear algebra, geometry, topology, mathematical modeling, statistics and probability, differential equations) and nature of science and mathematics.
4) Display knowledge and skills in developing programs, teaching technologies and materials in order to teach mathematics in effective and meaningful ways based on student needs.
5) Evaluate and assess students’ individual developmental paths, difficulties in understanding mathematics in multiple ways and use assessment results in improving teaching and learning.
6) Have an awareness of students’ social, cultural, economic and cognitive differences and plan the lessons and activities based on this awareness.
7) Collaborate and respectively communicate with colleagues and student parents such that students learn mathematics in best ways and at the same time feel happy and safe. Work effectively within teams of their own discipline and multi-disciplinary as well as take individual responsibility when they work alone.
8) Have awareness of need for life-long learning. Access information and following developments in education, science and technology. Display skills of solving problems related to their field, renew and improve themselves and critically analyze and question their own work. Use information technologies in effective ways.
9) Use scientific investigation effectively to solve problems in mathematics teaching and learning based on scientific methods. Critically investigate, analyze and make a synthesis of data, and develop solutions to problems based on data and scientific sources.
10) Exhibit skills of communicating effectively in oral and written Turkish and command of English at least at B2 general level of European Language Portfolio.
11) Have awareness of and sensitivity to different cultures, values and students’ democratic rights.
12) Display ethical and professional responsibilities. Have awareness of national and universal sensitivities that are expressed in National Education Fundamentals Laws.
13) Demonstrate consciousness and sensitivity towards preserving nature and environment in the process of developing lesson activities.
14) Display knowledge in national culture and history as well as international cultures and recognize their richness. Have awareness of and participate to developments in society, culture, arts and technology.

Relation to Program Outcomes and Competences

N None	S Supportive	H Highly Related

	Program Outcomes and Competences	Level	Assessed by
1)	Apply effective and student-centered specific teaching methods and strategies in order to improve students’ mathematical thinking and problem solving skills.	S	Participation,Project
2)	Design lesson plans based on how students learn mathematics and students’ difficulties in learning mathematics.	N
3)	Demonstrate knowledge in various areas of mathematics (such as analysis, algebra, linear algebra, geometry, topology, mathematical modeling, statistics and probability, differential equations) and nature of science and mathematics.	H	Exam,Participation,Project
4)	Display knowledge and skills in developing programs, teaching technologies and materials in order to teach mathematics in effective and meaningful ways based on student needs.	S	Project
5)	Evaluate and assess students’ individual developmental paths, difficulties in understanding mathematics in multiple ways and use assessment results in improving teaching and learning.	N
6)	Have an awareness of students’ social, cultural, economic and cognitive differences and plan the lessons and activities based on this awareness.	S	Project
7)	Collaborate and respectively communicate with colleagues and student parents such that students learn mathematics in best ways and at the same time feel happy and safe. Work effectively within teams of their own discipline and multi-disciplinary as well as take individual responsibility when they work alone.	H	Participation,Project
8)	Have awareness of need for life-long learning. Access information and following developments in education, science and technology. Display skills of solving problems related to their field, renew and improve themselves and critically analyze and question their own work. Use information technologies in effective ways.	S	Participation,Project
9)	Use scientific investigation effectively to solve problems in mathematics teaching and learning based on scientific methods. Critically investigate, analyze and make a synthesis of data, and develop solutions to problems based on data and scientific sources.	S	Project
10)	Exhibit skills of communicating effectively in oral and written Turkish and command of English at least at B2 general level of European Language Portfolio.	S	Participation,Project
11)	Have awareness of and sensitivity to different cultures, values and students’ democratic rights.	S	Seçiniz,Project
12)	Display ethical and professional responsibilities. Have awareness of national and universal sensitivities that are expressed in National Education Fundamentals Laws.	N
13)	Demonstrate consciousness and sensitivity towards preserving nature and environment in the process of developing lesson activities.	N
14)	Display knowledge in national culture and history as well as international cultures and recognize their richness. Have awareness of and participate to developments in society, culture, arts and technology.	N

Prepared by and Date	İBRAHİM BURAK ÖLMEZ ,
Course Coordinator	BENGİ BİRGİLİ
Semester	Güz
Name of Instructor	Prof. Dr. CENGİZ ALACACI

Course Contents

Hafta	Konu
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Required/Recommended Readings

Teaching Methods

Homework and Projects

Laboratory Work

Computer Use

As a matter of professionalism and respect, please do not check email, text, or go online during class time; I expect you to be fully present during class. Also, please silence your cell phones during class. Opening your cameras and microphones is required in this course. If your cameras and microphones are off, you will be considered as absent from that particular class and it will be an unexcused absence. So, if there is a problem with your internet connection, camera, or microphone, please fix this problem as soon as possible.

Other Activities

Assessment Methods

Assessment Tools	Count	Weight
Devam	1	% 15
Projeler	1	% 30
Ara Sınavlar	1	% 25
Final	1	% 30
TOTAL		% 100

Course Administration

olmezi@mef.edu.tr

ECTS Student Workload Estimation

Activity	No/Weeks	Hours			Calculation
	No/Weeks per Semester	Preparing for the Activity	Spent in the Activity Itself	Completing the Activity Requirements
Ders Saati	14	1	2	1	56
Laboratuvar	14	0	1		14
Sunum / Seminer	2	2	10		24
Ara Sınavlar	1	8	2		10
Final	1	16	2		18
Total Workload					122
Total Workload/25					4.9
ECTS					5