Course Detail
Course Description
| Course | Code | Semester | T+P (Hour) | Credit | ECTS |
|---|---|---|---|---|---|
| BASIC CONCEPTS in MATHEMATICS I | İM1214932 | Spring Semester | 3+0 | 3 | 6 |
| Course Program | Salı 13:30-14:15 Salı 14:30-15:15 Salı 15:30-16:15 |
| Prerequisites Courses | |
| Recommended Elective Courses |
| Language of Course | Turkish |
| Course Level | First Cycle (Bachelor's Degree) |
| Course Type | Required |
| Course Coordinator | Assist.Prof. Esra YEMENLİ |
| Name of Lecturer(s) | Assist.Prof. Esra YEMENLİ |
| Assistant(s) | |
| Aim | Providing prospective teachers information about: How to define basic mathematical concepts which are used in mathematics teaching; Historical backgrounds of mathematical concepts; How they can use the mathematical concepts in daily life. |
| Course Content | This course contains; Number Systems and Natural Numbers İntegers and Properties of integers,Prime Numbers, Greatest common divisor, Smallest common multiple,Fractions, Fraction operations and representations,Rational Numbers, Operations in rational numbers and Problem solving,Ratio and Proportion, Problem solving related to ratio and proportion,Exponential numbers, Rooted Expressions,Algebraic Expressions, Equality and Equations, İdentities ans İnequalities,Basic geometric concepts, Angle concept, Lines and Angles,Triangles and Properties of triangles, Polygons ,Quadrilaterals and Properties of Quardilaterals, Special Quadrilaterals ,Circle and Circular region ,Geometric objects and properties, Transformation Geometry ,Measurement, Lenght measurement and Area measurement, Time mesuring and Liquid measuring activities,Isometric and Orthographic drawings . |
| Dersin Öğrenme Kazanımları | Teaching Methods | Assessment Methods |
| Explains the definition of "concept" expression and basic concepts in mathematics | 10, 16, 9 | A |
| Knows the importance of proof in mathematics and the types of proof. Practice different proof types. | 10, 16, 5 | A |
| Defines the basic concepts in mathematics | 10, 16 | A |
| Tells how the basic concepts in mathematics went through a development process and their current state. | 10 | A |
| States the using areas of the basic concepts of mathematics in daily life | 10, 9 | |
| Defines the basic concepts in geometry. | 10, 16 | A |
| Explores the definitions of concepts in measurement and their relationships with each other. | 10, 16 | A, E |
| Practises related to isometric transformation. | 10, 16 | |
| Explains the basic concepts of probability and statistics. | 10, 16 | A |
| Explores the relationships between concepts in geometry. | 10, 16, 5, 9 | A, E |
| Teaching Methods: | 10: Discussion Method, 16: Question - Answer Technique, 5: Cooperative Learning, 9: Lecture Method |
| Assessment Methods: | A: Traditional Written Exam, E: Homework |
Course Outline
| Order | Subjects | Preliminary Work |
|---|---|---|
| 1 | Number Systems and Natural Numbers İntegers and Properties of integers | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), pp.11-50 |
| 2 | Prime Numbers, Greatest common divisor, Smallest common multiple | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), pp.51-56 |
| 3 | Fractions, Fraction operations and representations | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), pp.57-70 |
| 4 | Rational Numbers, Operations in rational numbers and Problem solving | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), pp.57-70 |
| 5 | Ratio and Proportion, Problem solving related to ratio and proportion | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), pp.119-134 |
| 6 | Exponential numbers, Rooted Expressions | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), pp.89-106 |
| 7 | Algebraic Expressions, Equality and Equations, İdentities ans İnequalities | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), pp.309-324 |
| 8 | Basic geometric concepts, Angle concept, Lines and Angles | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), s.357-380 |
| 9 | Triangles and Properties of triangles, Polygons | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), s.381-443 |
| 10 | Quadrilaterals and Properties of Quardilaterals, Special Quadrilaterals | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), s.443-486 |
| 11 | Circle and Circular region | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), s.487-500 |
| 12 | Geometric objects and properties, Transformation Geometry | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), s.515-540 ve s.589-602 |
| 13 | Measurement, Lenght measurement and Area measurement, Time mesuring and Liquid measuring activities | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), s. 231-250 |
| 14 | Isometric and Orthographic drawings | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), pp.603-614 |
| Resources |
| Temel Matematiksel Kavramlar ve Uygulamaları. Editörler: Yrd. Doç. Dr. Aysun Nüket Elçi, Doç. Dr. Esra Bukova Güzel, Doç. Dr. Berna Cantürk Günhan, Yrd. Doç. Dr. Emre Ev Çimen. (2016). Pegem Akademi Yayınları |
| İlköğretimde Karşılaşılan Matematiksel Zorluklar ve Çözüm Önerileri. Editörler: Erhan Bingölbali, Mehmet Fatih Özmantar. (2009). Pegem Akademi Yayınları. Matematiksel Kavram Yanılgıları ve Çözüm Önerileri. Editörler: Mehmet Fatih Özmantar, Erhan Bingölbali, Hatice Akkoç. (2015) Pegem Akademi Yayınları. Tanımları ve Tarihsel Gelişimleriyle Matematiksel Kavramlar. Editörler: İzmail Özgür Zembat, Mehmet Fatih Özmantar, Erhan Bingölbali, Hakan Şandır, Ali Delice. (2013). Pegem Akademi Yayınları. |
Course Contribution to Program Qualifications
| Course Contribution to Program Qualifications | |||||||
| No | Program Qualification | Contribution Level | |||||
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | It verbally refers to the meanings of professional terms and concepts within the scope of primary mathematics teaching. It verbally refers to the basic concepts, principles and techniques of theories in the field of primary mathematics teaching. It compares the theories in its field and lists the strengths and weaknesses of each theory verbally. | X | |||||
| 2 | In the field of primary mathematics teaching, he applies the necessary intervention in connection with the education he receives regarding the situations or problems he encounters professionally. | X | |||||
| 3 | A problem he faces professionally, he analyzes and solves it based on scientific methods. He solves a problem he faces professionally on his own. It makes necessary interventions by distinguishing between situations that are within the scope of their duties and responsibilities from a professional point of view and situations that are not. | X | |||||
| 4 | Follows new developments related to the profession in line with the principle of lifelong learning from a professional point of view. | X | |||||
| 5 | In the process of resolving a problem from a professional point of view, he consults with his colleagues when necessary. When he encounters a problem, he formulates it in writing or verbally. He has a sense of social responsibility and uses his professional gains to solve problems in his immediate and distant environment. He speaks at least B1 level English to monitor international professional developments. | X | |||||
| 6 | He knows the basic concepts of his profession. Applies basic skills related to his profession. It applies measurement and evaluation tools in accordance with its purpose and in line with ethical principles. In a professional subject, it conducts research by choosing the appropriate research method. | X | |||||
Assessment Methods
| Contribution Level | Absolute Evaluation | |
| Rate of Midterm Exam to Success | 40 | |
| Rate of Final Exam to Success | 60 | |
| Total | 100 | |
| ECTS / Workload Table | ||||||
| Activities | Number of | Duration(Hour) | Total Workload(Hour) | |||
| Course Hours | 14 | 3 | 42 | |||
| Guided Problem Solving | 0 | 0 | 0 | |||
| Resolution of Homework Problems and Submission as a Report | 5 | 2 | 10 | |||
| Term Project | 0 | 0 | 0 | |||
| Presentation of Project / Seminar | 0 | 0 | 0 | |||
| Quiz | 0 | 0 | 0 | |||
| Midterm Exam | 1 | 8 | 8 | |||
| General Exam | 1 | 10 | 10 | |||
| Performance Task, Maintenance Plan | 0 | 0 | 0 | |||
| Total Workload(Hour) | 70 | |||||
| Dersin AKTS Kredisi = Toplam İş Yükü (Saat)/30*=(70/30) | 2 | |||||
| ECTS of the course: 30 hours of work is counted as 1 ECTS credit. | ||||||
Detail Informations of the Course
Course Description
| Course | Code | Semester | T+P (Hour) | Credit | ECTS |
|---|---|---|---|---|---|
| BASIC CONCEPTS in MATHEMATICS I | İM1214932 | Spring Semester | 3+0 | 3 | 6 |
| Course Program | Salı 13:30-14:15 Salı 14:30-15:15 Salı 15:30-16:15 |
| Prerequisites Courses | |
| Recommended Elective Courses |
| Language of Course | Turkish |
| Course Level | First Cycle (Bachelor's Degree) |
| Course Type | Required |
| Course Coordinator | Assist.Prof. Esra YEMENLİ |
| Name of Lecturer(s) | Assist.Prof. Esra YEMENLİ |
| Assistant(s) | |
| Aim | Providing prospective teachers information about: How to define basic mathematical concepts which are used in mathematics teaching; Historical backgrounds of mathematical concepts; How they can use the mathematical concepts in daily life. |
| Course Content | This course contains; Number Systems and Natural Numbers İntegers and Properties of integers,Prime Numbers, Greatest common divisor, Smallest common multiple,Fractions, Fraction operations and representations,Rational Numbers, Operations in rational numbers and Problem solving,Ratio and Proportion, Problem solving related to ratio and proportion,Exponential numbers, Rooted Expressions,Algebraic Expressions, Equality and Equations, İdentities ans İnequalities,Basic geometric concepts, Angle concept, Lines and Angles,Triangles and Properties of triangles, Polygons ,Quadrilaterals and Properties of Quardilaterals, Special Quadrilaterals ,Circle and Circular region ,Geometric objects and properties, Transformation Geometry ,Measurement, Lenght measurement and Area measurement, Time mesuring and Liquid measuring activities,Isometric and Orthographic drawings . |
| Dersin Öğrenme Kazanımları | Teaching Methods | Assessment Methods |
| Explains the definition of "concept" expression and basic concepts in mathematics | 10, 16, 9 | A |
| Knows the importance of proof in mathematics and the types of proof. Practice different proof types. | 10, 16, 5 | A |
| Defines the basic concepts in mathematics | 10, 16 | A |
| Tells how the basic concepts in mathematics went through a development process and their current state. | 10 | A |
| States the using areas of the basic concepts of mathematics in daily life | 10, 9 | |
| Defines the basic concepts in geometry. | 10, 16 | A |
| Explores the definitions of concepts in measurement and their relationships with each other. | 10, 16 | A, E |
| Practises related to isometric transformation. | 10, 16 | |
| Explains the basic concepts of probability and statistics. | 10, 16 | A |
| Explores the relationships between concepts in geometry. | 10, 16, 5, 9 | A, E |
| Teaching Methods: | 10: Discussion Method, 16: Question - Answer Technique, 5: Cooperative Learning, 9: Lecture Method |
| Assessment Methods: | A: Traditional Written Exam, E: Homework |
Course Outline
| Order | Subjects | Preliminary Work |
|---|---|---|
| 1 | Number Systems and Natural Numbers İntegers and Properties of integers | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), pp.11-50 |
| 2 | Prime Numbers, Greatest common divisor, Smallest common multiple | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), pp.51-56 |
| 3 | Fractions, Fraction operations and representations | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), pp.57-70 |
| 4 | Rational Numbers, Operations in rational numbers and Problem solving | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), pp.57-70 |
| 5 | Ratio and Proportion, Problem solving related to ratio and proportion | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), pp.119-134 |
| 6 | Exponential numbers, Rooted Expressions | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), pp.89-106 |
| 7 | Algebraic Expressions, Equality and Equations, İdentities ans İnequalities | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), pp.309-324 |
| 8 | Basic geometric concepts, Angle concept, Lines and Angles | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), s.357-380 |
| 9 | Triangles and Properties of triangles, Polygons | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), s.381-443 |
| 10 | Quadrilaterals and Properties of Quardilaterals, Special Quadrilaterals | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), s.443-486 |
| 11 | Circle and Circular region | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), s.487-500 |
| 12 | Geometric objects and properties, Transformation Geometry | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), s.515-540 ve s.589-602 |
| 13 | Measurement, Lenght measurement and Area measurement, Time mesuring and Liquid measuring activities | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), s. 231-250 |
| 14 | Isometric and Orthographic drawings | Elçi, Bukova-Güzel, Cantürk-Günhan & Ev-Çimen. (2016), pp.603-614 |
| Resources |
| Temel Matematiksel Kavramlar ve Uygulamaları. Editörler: Yrd. Doç. Dr. Aysun Nüket Elçi, Doç. Dr. Esra Bukova Güzel, Doç. Dr. Berna Cantürk Günhan, Yrd. Doç. Dr. Emre Ev Çimen. (2016). Pegem Akademi Yayınları |
| İlköğretimde Karşılaşılan Matematiksel Zorluklar ve Çözüm Önerileri. Editörler: Erhan Bingölbali, Mehmet Fatih Özmantar. (2009). Pegem Akademi Yayınları. Matematiksel Kavram Yanılgıları ve Çözüm Önerileri. Editörler: Mehmet Fatih Özmantar, Erhan Bingölbali, Hatice Akkoç. (2015) Pegem Akademi Yayınları. Tanımları ve Tarihsel Gelişimleriyle Matematiksel Kavramlar. Editörler: İzmail Özgür Zembat, Mehmet Fatih Özmantar, Erhan Bingölbali, Hakan Şandır, Ali Delice. (2013). Pegem Akademi Yayınları. |
Course Contribution to Program Qualifications
| Course Contribution to Program Qualifications | |||||||
| No | Program Qualification | Contribution Level | |||||
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | It verbally refers to the meanings of professional terms and concepts within the scope of primary mathematics teaching. It verbally refers to the basic concepts, principles and techniques of theories in the field of primary mathematics teaching. It compares the theories in its field and lists the strengths and weaknesses of each theory verbally. | X | |||||
| 2 | In the field of primary mathematics teaching, he applies the necessary intervention in connection with the education he receives regarding the situations or problems he encounters professionally. | X | |||||
| 3 | A problem he faces professionally, he analyzes and solves it based on scientific methods. He solves a problem he faces professionally on his own. It makes necessary interventions by distinguishing between situations that are within the scope of their duties and responsibilities from a professional point of view and situations that are not. | X | |||||
| 4 | Follows new developments related to the profession in line with the principle of lifelong learning from a professional point of view. | X | |||||
| 5 | In the process of resolving a problem from a professional point of view, he consults with his colleagues when necessary. When he encounters a problem, he formulates it in writing or verbally. He has a sense of social responsibility and uses his professional gains to solve problems in his immediate and distant environment. He speaks at least B1 level English to monitor international professional developments. | X | |||||
| 6 | He knows the basic concepts of his profession. Applies basic skills related to his profession. It applies measurement and evaluation tools in accordance with its purpose and in line with ethical principles. In a professional subject, it conducts research by choosing the appropriate research method. | X | |||||
Assessment Methods
| Contribution Level | Absolute Evaluation | |
| Rate of Midterm Exam to Success | 40 | |
| Rate of Final Exam to Success | 60 | |
| Total | 100 | |