Course Information

Course Information
Course Title Code Language Type Semester L+U Hour Credits ECTS
- MTÖ405 Turkish Compulsory 7. Semester 2 + 0 2.0 3.0
Prerequisite Courses
Course Level Undergraduate
Mode of delivery Face to face
Course Coordinator Prof. Dr. ŞAHİN DANİŞMAN
Instructor(s) Prof. Dr. ŞAHİN DANİŞMAN (Güz)
Goals Make prospective teachers have knowledge about making deductions, defending the validity of propositions, making generalizations, configuring strategies using logical patterns and make them use logical reasoning processes effectively and aright.
Course Content Defending the accuracy and validity of deductions, offering legitimate generalizations and deductions; using and explaining mathematical patterns and relations while analysing a mathematical situation; making estimations about the results of operations and measurements by using strategies like rounding off, grouping proper numbers, using first and last digits or by using their own strategies; making estimations regarding a reference point related to measurement.
Learning Outcomes
# Öğrenme Kazanımı
1 Knows about deduction and reasoning processes.
2 Makes generalizations through different thinking processes.
3 Analyses a mathematical situation by using and explaining patterns and relationships.
4 Makes estimations about the results of operations and measurements by rounding offs.
5 Makes estimations about the results of operations and measurements by grouping proper numbers.
6 Makes estimations about the results of operations and measurements by using the first and last digits.
7 Makes estimations about the results of operations and measurements by using his/her own strategies.
8 Makes estimations regarding a reference point related to measurement.
9 Offers a micro teaching instructional design about logical reasoning process in middle school mathematics.
Lesson Plan (Weekly Topics)
Week Topics/Applications Method
1. Week Basic concepts of reasoning Interview Class Hours
2. Week Defending the truth and validity of the implications. Interview Other Activities Class Hours
2. Week Making sensible generalizations and making inferences Interview Other Activities Class Hours
4. Week The role of patterns and relationships in reasoning Interview Class Hours Other Activities
5. Week Strategies used in reasoning. Class Hours Other Activities Interview Presentation (Preparation)
6. Week Making assumptions and types of reasoning Interview Other Activities Class Hours
7. Week Inductive and deductive reasoning Interview Other Activities Class Hours
8. Week MIDTERM
9. Week Proportional and probabilistic reasoning Other Activities Class Hours Interview
10. Week Defective reasoning. Interview Other Activities Class Hours
11. Week Reasoning in mind games Other Activities Interview Class Hours
12. Week Reasoning in mind games Class Hours Other Activities Interview
13. Week Understanding and interpreting students’ reasoning about the subjects Interview Presentation (Preparation) Research Other Activities Class Hours
14. Week Examining of students’ difficulties and mistakes related to the concepts Presentation (Preparation) Preparation, After Class Study Other Activities Research Interview Class Hours
*Midterm and final exam dates are not specified in the 14-week course operation plan. Midterm and final exam dates are held on the dates specified in the academic calendar with the decision of the University Senate.
The Matrix for Course & Program Learning Outcomes
No Program Requirements Level of Contribution
1 2 3 4 5
1 They know and apply contemporary teaching methods and techniques, assessment and evaluation methods.
17 Have the skills of mathematical communication, problem solving, reasoning and relating.
18 utilize the mathematical content knowledge in an effective manner during the learning and teaching process.
Relations with Education Attainment Program Course Competencies
Program Requirements DK1 DK2 DK3 DK4 DK5 DK6 DK7 DK8 DK9
PY1 5 5 5 5 5 5 5 5 5
PY17 3 4 5 3 3 3 3 5 4
PY18 0 0 0 0 0 0 0 0 5
Recommended Sources
Ders Kitabı veya Notu Ders Kitabı veya Ders Notu bulunmamaktadır.
Diğer Kaynaklar
  • Matematiksel Düşünme, Cemal Yıldırım, Remzi Kitabevi.
  • Matematik Yaramazdır-Akıl Yürütme, Mantık ve Matematik, Ahmet Doğan, Bilim ve Gelecek Kitaplığı
ECTS credits and course workload
ECTS credits and course workload Quantity Duration (Hour) Total Workload (Hour)
Ders İçi
Class Hours 13 2 26
Ders Dışı
Preparation, After Class Study 6 3 18
Research 3 2 6
Other Activities 1 3 3
Sınavlar
Midterm 1 1 10 10
Homework 1 1 3 3
Final 1 10.5 10.5
Total Workload 76.5
*AKTS = (Total Workload) / 25,5 ECTS Credit of the Course 3.0