Rapor Tarihi: 24.02.2026 22:03
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Fundamentals of Mathematics | MAE101 | Turkish | Compulsory | 1. Semester | 3 + 0 | 3.0 | 3.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to face |
| Course Coordinator | Doç. Dr. Duygu ARABACI |
| Instructor(s) | Doç. Dr. Duygu ARABACI (Güz) |
| Goals | It is to know the subjects and concepts in the fields of algebra, geometry, statistics and probability learning in the secondary school mathematics curriculum and to learn the properties of these subjects and concepts, their transformation with multiple representations and their applications in daily life. |
| Course Content | - Knows the mathematical knowledge of numbers and algebra learning areas in the mathematics program and knows its applications in the secondary school mathematics curriculum. - Knows the concepts of numbers, operations and fractions and operations with these concepts. - Knows exponential expressions and radical expressions and the properties of these expressions. - Knows the concepts of equality, equation and inequality and the properties of these concepts. - Knows the representation of concepts related to numbers and algebra in the Mathematics Curriculum with multiple representations and their conversion to each other. - Knows the subjects related to the fields of geometry, statistics and probability learning in the Mathematics Curriculum and the applications of these subjects in the secondary school curriculum. - Knows the concepts of triangle and quadrilateral and makes measurements of length and area. - Knows the concepts of circle, circle, polygons and makes applications related to these concepts. - Knows the concepts of parity and similarity and makes applications related to these concepts. - Knows the concepts of data collection and evaluation, data analysis, probability of simple events and makes related applications. - Knows the concepts of geometry, statistics and probability learning in the Mathematics Curriculum, showing multiple representations and converting them to each other. |
| # | Öğrenme Kazanımı |
| 1 | Knows the basic concepts and properties of natural numbers. |
| 2 | Knows the basic concepts and properties of fractions. |
| 3 | Can perform operations on rational numbers. |
| 4 | Knows the concepts and properties of algebra. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Introduction to Set Theory - Intuitionistic and Axiomatic Set Theory | Interview, Presentation (Preparation) |
| 2. Week | Natural numbers, operations with natural numbers and their properties | Research, Other Activities |
| 3. Week | Fractions, Rational Numbers, Real Numbers | Interview, Presentation (Preparation) |
| 4. Week | Decimal notation, percentages, ratio and proportion | Interview, Presentation (Preparation) |
| 5. Week | Multipliers and Factors, Exponential Expressions and Square Root Expressions and Their Properties | Interview, Presentation (Preparation) |
| 6. Week | Algebraic expressions, equality and equation, linear equations, algebraic expressions and identities, inequalities and their properties | Research, Other Activities |
| 7. Week | Basic Geometric Concepts | Interview, Presentation (Preparation) |
| 8. Week | Triangles and quadrilaterals and their properties | Other Activities, Interview, Presentation (Preparation) |
| 9. Week | Circle and Disc | Preparation, After Class Study, Research, Interview |
| 10. Week | Geometric objects, views and properties of objects from different directions | Preparation, After Class Study, Research |
| 11. Week | Transformation geometry | Research, Other Activities |
| 12. Week | The Concept of Measurement; Length and Area Measurement | Interview, Presentation (Preparation) |
| 13. Week | Volume, Time, and Liquid Measurement | Interview, Presentation (Preparation) |
| 14. Week | Data Collection and Assesment | Research, Other Activities |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 27 | By using mathematical language and terminology correctly and effectively, the student has knowledge about the nature, source, historical development and limits of basic concepts and approaches and interprets their reflections in the field. | ✔ | |||||
| 28 | The student follows the developments in mathematics education in our country and in the world, and takes into account the cognitive and affective student characteristics required by the mathematics curriculum. | ✔ | |||||
| 29 | The student plans, applies and evaluates the lesson by using teaching methods and techniques and instructional materials effectively by determining different appropriate resources according to the characteristics of mathematics subjects and carries the teaching beyond the boundaries of the school. | ✔ | |||||
| 30 | The student knows the context of technological pedagogical content knowledge for mathematics and has knowledge about how to use information and communication technologies in mathematics education and training. | ✔ | |||||
| 31 | The student identifies the facts related to mathematics, mathematics teaching and the teaching profession in and out of school, evaluate them with a critical approach, conceptualize them, examine them with scientific methods and interpret them with current technologies. | ✔ | |||||
| 34 | Plans, implements, and evaluates the learning-teaching process effectively, considering the curricula' basic concepts, principles, and characteristics. | ✔ | |||||
| 36 | Follows the innovation, development, and 21st-century skills in the teaching profession and reflects these developments and skills to research and practice based on scientific principles. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 |
|---|---|---|---|---|
| PY27 | 5 | 5 | 5 | 5 |
| PY28 | 4 | 4 | 4 | 4 |
| PY29 | 3 | 3 | 3 | 3 |
| PY30 | 2 | 2 | 2 | 2 |
| PY31 | 2 | 3 | 3 | 1 |
| PY34 | 4 | 4 | 4 | 4 |
| PY36 | 2 | 2 | 2 | 2 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| Güz Dönemi | |||
| Responsible Personnel | Grup | Evaluation Method | Percentage |
|---|---|---|---|
| Doç. Dr. Duygu ARABACI | Vize | 40.00 | |
| Doç. Dr. Duygu ARABACI | Final | 60.00 | |
| Toplam | 100.00 | ||
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 3 | 42 |
|
Ders Dışı |
Preparation, After Class Study | 14 | 2 | 28 |
| Research | 1 | 2.5 | 2.5 | |
|
Sınavlar |
Midterm 1 | 1 | 2 | 2 |
| Practice End-Of-Term | 1 | 2 | 2 | |
| Total Workload | 76.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 3.0 | ||
