Elementary Mathematics Education
Bachelor	Length of the Programme: 4	Number of Credits: 240	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF: Level 6

Ders Genel Tanıtım Bilgileri

School/Faculty/Institute

Faculty of Education

Course Code

MATH 237

Course Title in English

Probability and Statistics

Course Title in Turkish

Probability and Statistics

Language of Instruction

Type of Course

Flipped Classroom

Level of Course

Seçiniz

Semester

Fall

Contact Hours per Week

Lecture: 3

Recitation:

Lab:

Other:

Estimated Student Workload

152 hours per semester

Number of Credits

6 ECTS

Grading Mode

Standard Letter Grade

Pre-requisites

MATH 133 - Calculus

Expected Prior Knowledge

None

Co-requisites

None

Registration Restrictions

None

Overall Educational Objective

Students who successfully complete this course: 1. define the basics of probability and statistics; 2. be able to analyze discrete and continuous probability distributions; 3. apply statistical problems to solve engineering problems.

Course Description

To learn the basics of probability and statistics and their applications in engineering problems.

Course Description in Turkish

Olasılık ve istatistiğin temellerini ve bunların mühendislik problemlerindeki uygulamalarını öğrenmek.

Course Learning Outcomes and Competences

Upon successful completion of the course, the learner is expected to be able to:
1) The fundamental concepts of statistics
1) The fundamental concepts of statistics
2) Ways to organize and describe data sets
2) Ways to organize and describe data sets
3) How to determine the probability of an event
3) How to determine the probability of an event
4) How to create and use probability distributions
5) How to recognize normal distributions and how to use their properties in real-life applications
6) Inferential statistics, both estimate a population parameter and how to test a claim about a population parameter(s)
7) How to describe and test the significance of relationships between two variables when data are presented as ordered pairs
8) Test a hypothesis that compares one or two populations

Program Learning Outcomes/Course Learning Outcomes	1	1	2	2	3	3	4	5	6	7	8
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
2)	Design lesson plans based on how students learn mathematics and students’ difficulties in learning mathematics.	S	Participation
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
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.	H	Participation
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	Participation
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	Exam,Participation
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.	H	Exam,Participation
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.	H	Exam,Participation
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	Exam,Participation
11)	Have awareness of and sensitivity to different cultures, values and students’ democratic rights.	N
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	Fall
Name of Instructor	Asst. Prof. Dr. İBRAHİM BURAK ÖLMEZ

Course Contents

Week	Subject
1)	Definition and rules of probability
2)	Definition and rules of probability
3)	Fundamentals of random variables
4)	Discrete probability distributions
5)	Discrete probability distributions
6)	Continuous probability distributions
7)	Continuous probability distributions
8)	Multivariate probability distributions
9)	Multivariate probability distributions
10)	Statistics, sampling and sampling distributions
11)	Estimation
12)	Hypothesis Testing
13)	Hypothesis Testing
14)	Simple regression
15)	Final Examination Period
16)	Final Examination Period

Required/Recommended Readings

Compulsory: Probability and Statistics for Engineers, R. L. Scheaffer, J.T. McClave, Duxbury Press, 5th Edition, 2010 Suggested: Introduction to Probability and Statistics for Engineers and Scientists, S. M. Ross, John Wiley& Sons, 4th Edition, 2009 Introduction to Probability and Statistics: Principles and Applications for Engineering and the Computing Sciences, J.S. Milton, McGraw-Hill, 4th Edition, 2002

Teaching Methods

Homework and Projects

Laboratory Work

Computer Use

Other Activities

Assessment Methods

Assessment Tools	Count	Weight
Quiz(zes)	1	% 20
Project	1	% 15
Midterm(s)	1	% 35
Final Examination	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
Course Hours	14	1	3	1	70
Laboratory	10	2	1		30
Midterm(s)	2	12	2		28
Final Examination	1	22	2		24
Total Workload					152
Total Workload/25					6.1
ECTS					6