Information Package / Course Catalogue
Teaching Numbers
Course Code: İMÖ351
Course Type: Required
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 5
Objectives of the Course

Enabling prospective teachers to construct the number concept, which is the most basic concept of mathematics, number systems, number sets, transformations between representations of numbers, to increase the knowledge and skills for teaching these topics, to have an idea about students' knowledge for these issues, and constructing relationship of these subjects with daily life and other courses.

Course Content

Setting up a number system, natural numbers, operations in natural numbers, different based numbers, integers, multiples and factors,divisibility rules, LCM and GCD concepts and applications; ratio and proportion concepts and applications; real numbers, exponential and rooted quantities, fractions, decimal representations, percentages; rational and irrational numbers; sets and teaching basic concepts of sets (organizing the course content - using appropriate instructional materials and strategies, etc.); students' knowledge for these issues (understanding and interpreting students' thinking for the concepts, knowing student difficulties, mistakes, misconceptions and their reasons); the relationship of these subjects with daily life and other courses.

Name of Lecturer(s)
Prof. Ersen YAZICI
Learning Outcomes
1.Students will notice different number systems used in mathematics and know setup of these number systems
2.Students will know the properties and usage areas of operations with different number systems.
3.Students will know multiples and factors, divisibility rules, LCM and GCD concepts and make different applications related to these concepts.
4.Students will understand different representations of numbers and make transformations between these representations.
5.Students will understand the rational and irrational numbers, and difference between the properties of these sets of numbers.
6.Students will know the basic concepts of sets and make applications related to these concepts.
7.Students will organize course content related to the teaching of basic concepts about numbers and develop appropriate teaching materials.
8.Students will establish the relationship of the basic concepts of numbers with daily life and other courses.
9.Students will interpret and comment on the basic concepts of numbers; know the misconceptions and their reasons.
Recommended or Required Reading
1.Van de Walle, J. A., Karp, K. S., & Bay-Williams, J. W. (2014). İlkokul ve ortaokul matematiği gelişimsel yaklaşımla öğretim (7. Baskı).(Çev. S. Durmuş). Ankara: Nobel Yayınları.
2.Altun, M. (2015). Ortaoklullarda (5, 6, 7 ve 8.sınıflarda) matematik öğretimi. Bursa: Alfa Aktüel Yayınları.
Weekly Detailed Course Contents
Week 1 - Theoretical
Setting up a number system
Week 2 - Theoretical
Natural numbers and operations in natural numbers
Week 3 - Theoretical
Different based numbers
Week 4 - Theoretical
Integers
Week 5 - Theoretical
Multiples and factors, divisibility rules, LCM and GCD concepts and applications
Week 6 - Theoretical
Ratio and proportion concepts and applications
Week 7 - Theoretical
Real numbers
Week 8 - Theoretical
Exponential and rooted quantities, Midterm
Week 9 - Theoretical
Fractions, decimal representations, percentages
Week 10 - Theoretical
Rational Numbers
Week 11 - Theoretical
Irrational Numbers
Week 12 - Theoretical
Sets and teaching basic concepts of sets
Week 13 - Theoretical
Students' knowledge for these topics (understanding and interpreting students' thinking for the concepts, knowing student difficulties, mistakes, misconceptions and their reasons)
Week 14 - Theoretical
The relationship of these subjects with daily life and other courses
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory142370
Term Project130232
Midterm Examination121223
TOTAL WORKLOAD (hours)125
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
PÇ-13
OÇ-1
4
4
4
4
4
5
5
5
5
5
4
4
4
OÇ-2
5
5
5
5
5
5
5
5
5
5
5
5
5
OÇ-3
5
5
5
5
5
5
5
5
5
5
5
5
5
OÇ-4
4
5
4
5
4
5
4
5
4
5
4
5
5
OÇ-5
5
4
5
4
5
4
5
4
5
4
5
4
5
OÇ-6
5
5
5
5
5
5
5
5
5
5
5
5
5
OÇ-7
4
5
4
5
4
5
4
5
4
5
4
5
4
OÇ-8
5
5
5
5
5
5
5
5
5
5
5
5
5
OÇ-9
4
5
4
5
5
5
5
4
4
4
4
4
4
Adnan Menderes University - Information Package / Course Catalogue
2026