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Course Code: 
EDEM 412
Course Period: 
Spring
Course Type: 
Core
P: 
2
Credits: 
2
ECTS: 
3
Course Language: 
İngilizce
Course Objectives: 
The main aim of this study is to discuss philosophical problems related to foundations, nature and methods of mathematics
Course Content: 
Ontology and epistemology of mathematics; meanings of mathematical concepts such as, numbers, sets, functions, etc. and meanings of propositions and mathematical expressions; philosophical problems related to foundations, nature and methods of mathematics, objectivity in mathematics and applicability to the real world; works of pioneers in philosophy of mathematics such as Frege, Russel, Hilbert, Brouwer and Gödel; dimension concept, basic theories in philosophy of mathematics; Logicism, Formalism and Intuitionism, quasi-experimentalists and Lakatos; relation of mathematical philosophy with mathematics education; social groups in the philosophy of mathematics education.

 

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) Compares different epistemologies of mathematics 2 1,3 A, E
2) Discusses philosophical problems related to foundations of mathematics 1, 2, 3, 4 1,3 A, E
3) Summarizes the works of pioneers in philosophy of mathematics 1, 3 1,3 A, E
4) Explains the relation of mathematical philosophy with mathematics education 1, 3, 6, 8 1,3 A, E
5) Explains the role of social groups in the philosophy of mathematics education 1, 2, 3, 8 1,3 A, E

 

Course Flow

COURSE CONTENT
Week Topics Study Materials
1 Ontology and epistemology of mathematics  
2 Meanings of mathematical concepts such as, numbers, sets, functions, etc. And meanings of propositions and mathematical expressions  
3 Philosophical problems related to foundations, nature and methods of mathematics,  
4 Objectivity in mathematics and applicability to the real world  
5 Works of pioneers in philosophy of mathematics such as Frege, Russel, Hilbert  
6 Works of pioneers in philosophy of mathematics such as Brouwer and Gödel  
7 Dimension concept  
8 Midterm  
9 Basic theories in philosophy of mathematics; Logicism, Formalism and Intuitionism,  
10 Basic theories in philosophy of mathematics; quasi-experimentalists and Lakatos  
11 Relation of mathematical philosophy with mathematics education  
12 Relation of mathematical philosophy with mathematics education  
13 Social groups in the philosophy of mathematics education  
14 Social groups in the philosophy of mathematics education  

 

 

Recommended Sources

RESOURCES
Compulsory  
Recommended Course Notes

 

Material Sharing

COURSE MATERIALS 
Documents  
Assignments Prepare a detailed report of the works of a pioneer in philosophy of mathematics
Exams Midterm and final exams

 

Assessment

ASSESSMENT
IN-TERM STUDIES Quantity Percentage
Midterm 1 30
Final 1 40
Assignment 1 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
1 2 3 4 5
1 Knows historical, cultural and scientific developments of the mathematical 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 mathematics teaching process in line with the elementary school 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 Applies mathematical processes (e.g. problem solving, proving theorems, etc.) into given cases accurately.   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 2 30
Hours for off-the-classroom study (pre-study, practice) 15 1 15
Midterm 1 5 5
Assignment 1 10 10
Final 1 15 15
Total Workload     75
Total Workload / 25 (hours)     3
ECTS     3