TÜRKÇE
ENGLISH
Information
| Code | MATZ210 |
| Name | Fundamental Concepts of Mathematics |
| Term | 2024-2025 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | FE Field Education Courses C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. AYTEN PINAR BAL |
| Course Instructor |
Prof. Dr. KAMURAN TARIM
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The aim of this course is to understand the basic concepts and their properties in the learning areas of numbers, algebra, geometry, statistics and probability, to discuss the relationships between these concepts mathematically and to integrate them effectively into the teaching process by transforming them into each other with multiple representations. In addition, in line with the aims and principles of mathematics teaching, to analyze the connection of these concepts with the middle school mathematics curriculum and to develop pedagogical approaches.
Course Content
fractions, operations with fractions, decimal notation, percentages, factors and multiples, sets, whole numbers, operations with whole numbers, rational numbers, operations with rational numbers, ratio, ratio and proportion, exponents, square roots, algebraic expressions, equality and equation, linear equations, algebraic expressions and identities, inequality; the relationship between these concepts, the discussion of mathematical concepts and their transformation into each other with multiple representations, and the relationship of these subjects with the aims, principles and secondary school mathematics program. Geometry, statistics and probability in the mathematics program, learning areas (basic geometric concepts and drawings, triangles and quadrilaterals, triangles, measuring length and time, measuring area, geometric objects, angles, lines and angles, circle, circle and circle, liquid measurement, transformation geometry, polygons, views of objects from different directions, basic concepts and properties of the topics (similarity and similarity, data collection and evaluation, data analysis, probability of simple events), the relationship between these concepts, discussion of mathematical concepts and their transformation into each other with multiple representations, and the relationship of these topics with the aims, principles and secondary school mathematics curriculum.
Course Precondition
There is no prerequisite.
Resources
Kaçar, A. (2006). Basic Mathematics I-II, Ankara: Pegem A Publishing House Kadıoğlu, E. & Kamali, M. (2005). General Mathematics. Erzurum: Culture and Education Foundation Publications
Notes
Lecturer Lecture Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Recognize the basic concepts (natural numbers, fractions, rational numbers, exponential expressions, etc.) in the learning areas of numbers and algebra and explain the properties of these concepts. |
| LO02 | Analyze the relationships between concepts in the areas of numbers, algebra, geometry, statistics and probability and discuss these relationships in a mathematical context. |
| LO03 | Perform conversions between natural numbers, fractions, decimal notation, percentages and rational numbers using multiple representations. |
| LO04 | Explain and apply the basic relationships between geometric concepts (triangles, quadrilaterals, polygons, circle and circle, geometric objects, etc.) and measurement units (length, area, volume, time). |
| LO05 | Performs data collection, analysis and interpretation processes with statistical methods and calculates the probability of simple events. |
| LO06 | Perform operations on algebraic expressions, linear equations, inequalities and identities and identify critical points in teaching these concepts. |
| LO07 | Use different representations of mathematical concepts (symbolic, visual, numerical, verbal) and transform between these representations. |
| LO08 | Design effective teaching methods by analyzing the objectives and principles of the middle school mathematics program in the learning areas of numbers, algebra, geometry, statistics and probability. |
| LO09 | Discover the applications of mathematical concepts in daily life and make mathematical modeling in this context. |
| LO10 | Plan strategies to increase students' mathematical achievement by developing mathematical thinking and problem solving skills. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has enough knowledge about mathematics. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Has pedagogical knowledge about teaching profession and field. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Implements classroom management approaches to be used in educational environments effectively. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Prepares the learning environments in which appropriate teaching methods are used for effective mathematics education in accordance with development and age levels. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Knows the relationship between Mathematics-Society-Environment-History and uses it in professional and daily life. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Uses Turkish properly and effectively according to the rules. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Selects and designs appropriate materials, in mathematics teaching. | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Monitors students' progress using different assessment and evaluation methods and techniques. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Takes responsibility as an individual and as a team member to solve problems related to the field. | |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Has life-long learning awareness. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Shares his/her knowledge and skills, problems and solutions that he/she identified by means of oral and written communication with the expert and non-expert people. | |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Uses information and communication technologies and other related materials for an effective mathematics teaching. | |
| PLO13 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Has enough foreign language knowledge to follow foreign resources related to the field. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Has the knowledge of the purpose, structure and functioning of the Turkish education system. | |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | Becomes a teacher who adheres to Atatürk's principles and revolutions. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | natural numbers, operations with natural numbers | Examination of related resources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 2 | fractions, operations with fractions | Examination of related resources | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 3 | decimal notation, percentages | Examination of related resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 4 | multiples and factors, sets | Examination of related resources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 5 | integers, operations with integers | Examination of related resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 6 | rational numbers, operations with rational numbers | Examination of related resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 7 | ratio, ratio and proportion | Examination of related resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 8 | Mid-Term Exam | Examination of related resources | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | exponential expressions, square root expressions | Examination of related resources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 10 | algebraic expressions, equality and equation, linear equations | Examination of related resources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 11 | algebraic expressions and identities, inequality) basic concepts and properties of the subjects; the relationship between these concepts, the discussion of mathematical concepts and their transformation into each other with multiple representations, and the relationship of these subjects with the aims, principles and secondary school mathematics curriculum of mathematics teaching. | Examination of related resources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 12 | Geometry, statistics and probability in the mathematics program, learning areas (basic geometric concepts and drawings, triangles and quadrilaterals, triangles, measuring length and time, measuring area, geometric objects, angles, lines and angles, circle, circle and circle, liquid measurement, transformation geometry, polygons, views of objects from different directions | Examination of related resources | Öğretim Yöntemleri: Anlatım, Tartışma |
| 13 | basic concepts and properties of the topics (similarity and similarity, data collection and evaluation, data analysis, probability of simple events), the relationship between these concepts, discussion of mathematical concepts and their transformation into each other with multiple representations, and the relationship of these topics with the aims, principles and secondary school mathematics curriculum. | Examination of related resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 14 | general review 1 | Examination of related resources | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 15 | general review 2 | Examination of related resources | Öğretim Yöntemleri: Alıştırma ve Uygulama |
| 16 | Term Exams | examination of related resources | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | examination of related resources | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 4 | 56 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 1 | 1 |
| Final Exam | 1 | 2 | 2 |
| Total Workload (Hour) | 101 | ||
| Total Workload / 25 (h) | 4,04 | ||
| ECTS | 4 ECTS | ||