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| Course Description |
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| Course Name |
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Basic Mathematics I |
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| Course Code |
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S 111 |
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| Course Type |
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Compulsory |
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| Level of Course |
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First Cycle |
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| Year of Study |
: |
1 |
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| Course Semester |
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Fall (16 Weeks) |
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| ECTS |
: |
4 |
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| Name of Lecturer(s) |
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Assoc.Prof.Dr. PERİHAN DİNÇ ARTUT
Assoc.Prof.Dr. KAMURAN TARIM GÖZÜBATIK
Asst.Prof.Dr. AYTEN PINAR BAL
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| Learning Outcomes of the Course |
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Explans the structure of mathematics and its relationship with other disciplines
Explains special issues about sets and doing operations with sets.
Sets binary system, writing with different bases and explaning natural numbers.
Does operations with numbers given in different bases.
Explains integers numbers and does operations with them.
Explains divisibility rules, applying Lowest Common Multiple (LCM) and Highest
Explains Ratio and Proportion, Compound Variation concepts; Applying them to different problems
Does operations with rational exponents
Explains Cartesian product and relation concepts; applies them to different problems.
Explains equivalence relations and ordered relations; distinguishes concept of function.
Draws graphics of some special functions.
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| Mode of Delivery |
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Face-to-Face |
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| Prerequisites and Co-Prerequisites |
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None |
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| Recommended Optional Programme Components |
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None |
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| Aim(s) of Course |
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The general purpose of this course is to help teacher candidates to gain basic concepts and principles of mathematics |
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| Course Contents |
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The structure of mathematics and its relationship with other disciplines.
Sets and operations with sets.
Setting binary system, natural numbers.
Numbers with different bases, integers numbers
Divisibility rules, Lowest Common Multiple (LCM) and Highest Common Factor (HCF) concepts
Ratio and Proportion, Compound Variation concepts
Real numbers and exponential numbers
Rational exponents.
Cartesian product and relation concepts.
Equivalence relations and ordered relations;
Function.
Drawing graphics of some special functions
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| Language of Instruction |
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Turkish |
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| Work Place |
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Mathematics Classroom (105) |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
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1 |
The structure of mathematics and its relationship with other disciplines |
Kaçar, A. (2006). s.2-6 |
Lecture |
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2 |
Sets and types of sets |
Kaçar, A. (2006). s.8-20; Kadıoğlu, E. & Kamali, M. (2005). s. 5-10 |
Lecture; inductive teaching; Question-answer techniques |
|
3 |
Sets and operations with sets |
Kaçar, A. (2006). s.8-20; Kadıoğlu, E. & Kamali, M. (2005). s. 5-10 |
Lecture
Question-answer techniques |
|
4 |
Setting binary system, natural numbers |
Kaçar, A. (2006). s.22-61; Kadıoğlu, E. & Kamali, M. (2005). s. 10-15 |
Lecture
Question-answer techniques |
|
5 |
Numbers with different bases, integers numbers |
Kaçar, A. (2006). s.22-61 |
Lecture
Question-answer techniques |
|
6 |
Divisibility rules, Lowest Common Multiple (LCM) and Highest Common Factor (HCF) concepts |
Kaçar, A. (2006). s.22-61 |
Lecture
Question-answer techniques |
|
7 |
Ratio and Proportion, Compound Variation concepts |
Kaçar, A. (2006). s.22-61; Kadıoğlu, E. & Kamali, M. (2005). s. 10-15 |
Lecture
Question-answer techniques |
|
8 |
Mid term exam |
preparing exam |
written exam |
|
9 |
Real numbers and exponential numbers |
Kaçar, A. (2006). s.22-61; Kadıoğlu, E. & Kamali, M. (2005). s. 10-15 |
Lecture
Question-answer techniques |
|
10 |
Root numbers |
Kaçar, A. (2006). s.22-61; Kadıoğlu, E. & Kamali, M. (2005). s. 10-15 |
Lecture
Question-answer techniques |
|
11 |
Cartesian product and relation concepts |
Kaçar, A. (2006). s.88-115 |
Lecture
Question-answer techniques |
|
12 |
Equivalence relations and ordered relations |
Kaçar, A. (2006). s.88-115; Kadıoğlu, E. & Kamali, M. (2005). s. 29-82 |
Lecture
Question-answer techniques |
|
13 |
Function |
Kaçar, A. (2006). s.88-115; Kadıoğlu, E. & Kamali, M. (2005). s. 29-82 |
Lecture
Question-answer techniques |
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14 |
Functions and graphics |
Kaçar, A. (2006). s.88-115; Kadıoğlu, E. & Kamali, M. (2005). s. 29-82 |
Lecture
Question-answer techniques |
|
15 |
Drawing graphics of some special functions. |
Kaçar, A. (2006). s.88-115; Kadıoğlu, E. & Kamali, M. (2005). s. 29-82 |
Lecture
Question-answer techniques |
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16/17 |
Final Exam |
preparing exam |
written exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Kaçar, A. (2006). Temel Matematik I-II, Ankara: Pegem A yayınevi
Kadıoğlu, E. & Kamali, M. (2005). Genel Matematik. Erzurum: Kültür ve Eğitim Vakfı yayınları
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| Required Course Material(s) | |
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
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Mid-term Exams (Written, Oral, etc.) |
1 |
60 |
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Homeworks/Projects/Others |
1 |
40 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
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Final Assessments
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100 |
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Rate of Final Assessments to Success
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60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
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1 |
Explains the concepts and principles related to the subject areas of Primary Education (Mathematics, Turkish, Science and Technology, Life Science, Social Studies, Visual Arts, Music, Physical Education, etc.). |
4 |
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2 |
Evaluates the characteristics of 1st-5th year primary school students’ development along with their role in learning. |
0 |
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3 |
Evaluates the significant people, events and phenomena in the historical process in terms of their effect on educational applications. |
0 |
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4 |
Utilizes the process of generating scientific knowledge in order to solve the problems which are encountered in Primary School Education. |
0 |
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5 |
Uses not only the 1st- 5th grades primary education programs (Turkish, Mathematics, Science and Technology, Social Science, Natural Science, Physical Education, Music, Visual Arts, etc.) but also the specific teaching strategies, methods and techniques of these programs. |
0 |
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6 |
Makes a critique of art products in the light of information regarding art and describes their qualities. |
0 |
|
7 |
Utilizes appropriate methods and techniques for the development of students´ such high-order thinking skills as critical, creative as well as problem solving. |
3 |
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8 |
Plans, implements and evaluates the process of teaching and learning by taking the characteristics of students´ development, individual differences as well as the properties of the subject area into account |
0 |
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9 |
Evaluates students´ learning process by means of different methods and techniques of evaluation and assessment. |
0 |
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10 |
Generates appropriate learning materials in order to create effective teaching and learning processes, and uses information and communication technologies effectively during this process. |
0 |
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11 |
Takes responsibility both individually and within groups to solve problems encountered during the applications in primary education |
0 |
|
12 |
Monitors their performance and attempts to improve their professional knowledge and skills. |
0 |
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13 |
Evaluates the information she/he gains in a critical way by acquiring autonomous learning skills |
0 |
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14 |
Exchanges his/her ideas and solutions related to the field of teaching in a written or oral way effectively |
0 |
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15 |
Establishes effective communication with their students, colleagues, school management and families, and develops strategies to ensure families´ participation and support. |
0 |
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16 |
Within the scope of the education system and school management, utilizes general objectives and basic principles of education in the application. |
0 |
|
17 |
Develops projects and activities in order to make the social environment livable. |
0 |
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18 |
Makes self-assessment / personal opinion through observing the artistic and scientific activities as well as following the current national and international events. |
0 |
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19 |
Along with their professional development, improves himself/herself in scientific, cultural, artistic and social areas in accordance with his/her interests and abilities through identifying his/her needs. |
0 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
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Class Time (Exam weeks are excluded) |
14 |
2 |
28 |
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Out of Class Study (Preliminary Work, Practice) |
14 |
3 |
42 |
| Assesment Related Works |
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Homeworks, Projects, Others |
1 |
10 |
10 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
15 |
15 |
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Final Exam |
1 |
15 |
15 |
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Total Workload: | 110 |
| Total Workload / 25 (h): | 4.4 |
| ECTS Credit: | 4 |
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