Türkçe English Rapor to Course Content
COURSE SYLLABUS
MODELING IN MATHEMATICS TEACHING
1 Course Title: MODELING IN MATHEMATICS TEACHING
2 Course Code: İMÖ4004
3 Type of Course: Compulsory
4 Level of Course: First Cycle
5 Year of Study: 4
6 Semester: 8
7 ECTS Credits Allocated: 4
8 Theoretical (hour/week): 2
9 Practice (hour/week) : 0
10 Laboratory (hour/week) : 0
11 Prerequisites:
12 Recommended optional programme components: None
13 Language: Turkish
14 Mode of Delivery: Face to face
15 Course Coordinator: Dr. Ögr. Üyesi BAHTİYAR BAYRAKTAR
16 Course Lecturers: Y.Doç.Dr. Bahtiyar Bayraktar
17 Contactinformation of the Course Coordinator: E-mail: bbayraktar@uludag.edu.tr,
İş Tel: +90(224) 294 22 98.
Adres: UÜ, Eğitim Fakültesi, İlköğretim Bölümü, Matematik Eğitimi Anabilim Dalı, 16059
Görükle / BURSA
18 Website:
19 Objective of the Course: Know the bases of algorithm concept and apply it in computer environment. To produce the algorithms of applications in mathematics courses. To understand the basics of software languages.
20 Contribution of the Course to Professional Development Creates and develops the knowledge base of the prospective teacher. Comprehends the concepts related to the field and the relations between concepts based on the competencies gained in secondary education. Have defines and analyzes problems related to his field, and develops solutions based on evidence and research.
21 Learning Outcomes:
1 To be able to analyze the problem in terms of establishing a mathematical model.;
2 To be able to create a mathematical model of some problems in our daily life and to apply solution methods.;
3 Simple linear mat. Be able to create models;
4 To be able to introduce the concept of Algorithm and Algorithm. Know the features that should be in the algorithm.;
5 To be able to draw the flow diagram and know how to test the algorithm.;
6 To be able to develop algorithms software on arrays and matrices;
7 To be able to produce algorithms and software of numerical methods he / she has seen in mathematics courses.;
22 Course Content:
Week Theoretical Practical
1 Modeling concept. Model types and classification.
2 Model types and classification. Classification of mathematical models. Principles of creating a mathematical model.
3 Principles of creating a mathematical model. Linear mathematical model. Business problems and mathematical model. A mathematical model of an enterprise.
4 A mathematical model of an enterprise. Analysis of linear mathematical models. Examples.
5 A mathematical model of an enterprise. Analysis of linear mathematical models. Examples.
6 Examples. Nonlinear mathematical models and solution methods.
7 Nonlinear mathematical models and solution methods. Sample mathematical models and solution methods.
8 Sample mathematical models and solution methods. Algorithm concept and introduction of algorithm. Features that should be in the algorithm. Algorithm design.
9 Algorithm design. Flowchart diagrams and basic structures of algorithms Complex algorithms and functions. Algorithm applications.
10 Algorithm applications. Software languages. The structure of a computer language (alphabet, special words, expressions, rules, appearance). Software Applications.
11 Software Applications. Algorithms and software on arrays and matrices.
12 Software Applications. Algorithms and software on arrays and matrices.
13 Algorithms and software on arrays and matrices. Approximate solution of nonlinear equations (Algebra, Simple iteration and Newton method (tangent method) algorithms and software.
14 Algorithms and software on arrays and matrices. Approximate solution of nonlinear equations (Algebra, Simple iteration and Newton method (tangent method) algorithms and software.
23 Textbooks, References and/or Other Materials: 1. http://www.matematiktutkusu.com/forum/matematik-ogretmenleri-dokumanlari/112-matematik-ogretiminde-modelleme-matematiksel-modelleme-nedir.html
2. http://www.bilkent.edu.tr/~kadiri/mat/mat.donem.odev/aykutaydin.matematiksekmodelleme.pdf
3. http://web.firat.edu.tr/kimmuh/eskiweb/kimya/model.htm
4. http://www.hakankör.com.tr/Algoritma.pdf
5. Genel Matematik. Editör Prof. Dr. Orban ÖZER
6. Prof. Dr. Ahmet A. KARADENİZ Yüksek Matematik. Cilt 1, 2. 4. Baskı, 1985.
7. Ders notları.
24 Assesment
TERM LEARNING ACTIVITIES NUMBER PERCENT
Midterm Exam 1 40
Quiz 0 0
Homeworks, Performances 0 0
Final Exam 1 60
Total 2 100
Contribution of Term (Year) Learning Activities to Success Grade 40
Contribution of Final Exam to Success Grade 60
Total 100
Measurement and Evaluation Techniques Used in the Course Techniques such as lecture, discussion, question-answer, 3E are used in the teaching of the course. Midterm and final exams are taken into consideration in the measurement and evaluation of the course.
Information Results are determined with the letter grade determined by the student automation system.
25 ECTS / WORK LOAD TABLE
Activites NUMBER TIME [Hour] Total WorkLoad [Hour]
Theoretical 14 2 28
Practicals/Labs 0 0 0
Self Study and Preparation 10 3 30
Homeworks, Performances 0 5 20
Projects 0 0 0
Field Studies 0 0 0
Midtermexams 1 20 20
Others 0 0 0
Final Exams 1 20 20
Total WorkLoad 138
Total workload/ 30 hr 3,93
ECTS Credit of the Course 4
26 CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 PQ11 PQ12 PQ13 PQ14 PQ15 PQ16
LO1 4 3 3 4 0 0 0 0 0 0 0 0 0 0 0 0
LO2 3 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0
LO3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
LO4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
LO5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
LO6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
LO7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
LO: Learning Objectives PQ: Program Qualifications
Contribution Level: 1 Very Low 2 Low 3 Medium 4 High 5 Very High
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