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Course Code: 
EDEM 103
Course Period: 
Autumn
Course Type: 
Core
P: 
2
Credits: 
2
ECTS: 
2
Course Language: 
İngilizce
Course Coordinator: 
Course Objectives: 
The aim of this course is to discuss both fundamental concepts and theorems of numbers and algebra covered in mathematics curriculum and also the relationships between those concepts.
Course Content: 

The properties and concepts under numbers and algebra domains in the mathematics curriculum (natural numbers, operations with natural numbers, decimals, percent, factors and multiples, sets, integers, operations with integers, rational numbers, ratio and proportion, exponents, radicals, algebraic expressions, equality and equations, linear equations, algebraic expressions and identities, inequalities); relationship between those concepts, discussion of mathematical concepts and use of multiple representations.

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 concept of number and number systems. 2 1 A, E
2) Solves problems and proves theorems about numbers. 1, 2, 3, 4 1, 7 A, E
3) Uses multiple representations for rational numbers, decimals and percent. 1, 3 1 A, E
4) Explains concept of algebra. 1, 3 1 A, E
5) Solves algebra problems and proves theorems in algebra. 1, 2, 3, 4 1, 7 A, E

 

Course Flow

COURSE CONTENT
Week Topics Study Materials
1 Natural numbers and their properties  
2 Integers and their properties  
3 Problems and proofs about integers  
4 Rational and irrational numbers and their properties  
5 Problems and proofs about real numbers  
6 Decimals and percent  
7 Ratio and proportion  
8 Midterm  
9 Evolution of algebra concept  
10 Algebraic expressions and rules  
11 Linear equations  
12 Inequalities  
13 Algebra problems  
14 Algebra problems and proofs in algebra  

 

Recommended Sources

RESOURCES
Compulsory Eves, H. (1990). Foundations and fundamental concepts of mathematics. New York: Dover
Recommended TÜBİTAK Popüler Bilim Yayınları

 

 

Material Sharing

COURSE MATERIALS 
Documents Handouts of in-class activities
Assignments 1) Problem sets about numbers and algebra

 

Exams Midterm and final exams

 

Assessment

ASSESSMENT
IN-TERM STUDIES Quantity Percentage
Midterm 1 40
Final 1 40
Assignment 2 20
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 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 2 30
Hours for off-the-classroom study (pre-study, practice) 15 1 15
Midterm 1 5 5
Assignment 2 1 2
Final 1 5 5
Total Workload     57
Total Workload / 25 (hours)     2,28
ECTS     2