Information Package

Master's of Mathematics Education with Thesis

MATE635

THE STRUCTURE OF THE REAL NUMBER SYSTEM

Course Code
MATE635
Semester
-
Theory+Practice
3 + 0
ECTS
5
Course TypeElective Course
Course LevelMaster's Degree With Thesis
Year of Study-
Semester-
ECTS5
Name of Lecturer(s) -
Learning Outcomes

At the end of this course, the students;

  1. Know the historical development of number systems.
  2. Know the teaching of different number systems.
  3. Processes in different number systems.
  4. Uses the concepts learned in number systems in problem solving
Mode of DeliveryFace to face
PrerequisitesNo
Recommended Optional Programme Componentsno
Course DescriptionThe historical development of real numbers; Using the set theory, teaching natural numbers, integer numbers, and rational numbers. The axis of real numbers and teaching real numbers; The development skills of solving problems.
Course Contents
WEEK TOPICS
1st Week The historical development of real numbers
2nd Week Se Theory
3rd Week The form of natural numbers
4th Week Teaching natural numbers using the set theory,
5th Week Construction of Integers
6th Week Teaching integers using the set theory,
7th Week Construction of the Rational Numbers and their properties
8th Week Midterm
9th Week Teaching rational numbers using the set theory,
10th Week Form of real numbers- Set of real numbers and properties
11th Week The axis of real numbers and teaching real numbers
12th Week Teaching real numbers
13th Week The development skills of solving problems
14th Week The development skills of solving problems
15th Week Overview
Recommended or Required ReadingH.İ. KARAKAŞ, Matematiğin Temelleri, ODTÜ
Geliştirme Vakfı yayıncılık, 2001.
Planned Learning Activities and Teaching Methods
  • Lecture
  • Questions/Answers
Assessment Methods and Criteria
Quantity Percentage (%)
Assignment 2 40
Total(%) 40
Contribution of In-term Studies to Overall Grade(%) 40
Contribution of Final Examination to Overall Grade(%) 60
Total(%) 100
ECTS Allocated Based on Student Workload
Activities Quantity Duration (Hour) Total Workload (Hour)
Midterm exam
Preparation for Quiz
Individual or group work 13 3 39
Preparation for Final exam 1 25 25
Course hours 13 3 39
Preparation for Midterm exam
Laboratory (including preparation)
Final exam 1 2 2
Homework 2 22 44
Total Work Load149
Total Work Load / 30 (h)4.96
ECTS Credit of the Course5
Language of InstructionTurkish
Work Placement(s)No
LO1 LO2 LO3 LO4
K1
K2 X
K3
K4
K5 X X X
K6
K7 X
K8
K9 X X X
K10