1. THIRD CYCLE - DOCTORATE DEGREE
  3. MATHEMATICS AND SCIENCE TEACHING DEPARTMENT
  4. 3748 MATHEMATICS TEACHING(Without Thesis)
Course Information Course Learning Outcomes Course's Contribution To Program ECTS Workload Course Details
Print

COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
IME 542MATHEMATICAL THINKING AND MATHEMATICAL LOGIC 3 + 01st Semester6

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective The aim of this course is to instruct students about basic mathematical thinking forms, methods and tools, application areas of mathematical logic, and to make students reason about propositional logic. In addition, it is aimed to make students relate mathematical method and mathematical logic.
Course Content What is matmehatics, the relationship between mathematics and science, subject of mathematics, characteristics of results achieved in mathematics, axiomatic method (definitions, postulates and axioms), method of mathematical thinking, (inductive and deductive validation), emprical validations and mathematical proof, , propositions, open propositions, paradox, propotional logic and truth tables, valid and invalid arguments.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Determining the subject of mathematics
2Explanation of the relationship between mathematics and science
3Determining the properties of mathematical results (the difference between mathematics and physics)
4Defining the axiomatic method, examination of the postulates, axioms and definitions in the Euclid's Elements book.
5Determining the distinction between mathematical thinking and everyday thinking.
6Defining inductive and deductive validation and identify differences.
7Defining empirical verification and mathematical proof.
8Defining propositions and open propositions.
9Recognizing the paradox and some specific paradoxes.
10Creating truth tables by defining propositional logic.
11Specifying valid and invalid arguments.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09
LO 0015     4 3
LO 0025       3
LO 003544     3
LO 0045        
LO 005544   4 3
LO 0065        
LO 0075        
LO 0085     4  
LO 009544    43
LO 0105        
LO 0115     4  
Sub Total551212   16415
Contribution511000101

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14342
Assignments5945
Final examination11414
Midterm11313
Total Work Load

ECTS Credit of the Course





156

6
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2022-2023 Fall1EMİNE GAYE ÇONTAY


Print

Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
IME 542 MATHEMATICAL THINKING AND MATHEMATICAL LOGIC 3 + 0 1 Turkish 2022-2023 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Asts. Prof. Dr. EMİNE GAYE ÇONTAY germec@pau.edu.tr EGT A0223 %70
Goals The aim of this course is to instruct students about basic mathematical thinking forms, methods and tools, application areas of mathematical logic, and to make students reason about propositional logic. In addition, it is aimed to make students relate mathematical method and mathematical logic.
Content What is matmehatics, the relationship between mathematics and science, subject of mathematics, characteristics of results achieved in mathematics, axiomatic method (definitions, postulates and axioms), method of mathematical thinking, (inductive and deductive validation), emprical validations and mathematical proof, , propositions, open propositions, paradox, propotional logic and truth tables, valid and invalid arguments.
Topics
WeeksTopics
1 .
2 .
3 .
4 .
5 .
6 .
7 .
8 .
9 .
10 .
11 .
12 .
13 .
14 .
Materials
Materials are not specified.
Resources
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam50Final Exam
Midterm Exam50Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes