Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 1 / Spring Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Compulsory | ||||
| Department | ELEMENTARY MATHEMATICS EDUCATION | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | ŞENOL KARTAL (senol.kartal@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | NERİMAN KARTAL, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| To enable pre-service teachers to construct the concepts of logic, proof, set, relation, function, permutation and operation, which are the basic concepts of mathematics, and to develop their operational and conceptual skills for these concepts. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Knows symbolic logic and proof techniques and makes different proof applications. |
PO-2 Has the information about the nature, source, limit, accuracy, validity and reliability of knowledge. PO-3 Explains the concepts and the relations between concepts related to the field at a level that can meet the needs of the students. PO-7 Uses mathematical language accurately and effectively in their mathematics courses and in planning learning and teaching process. PO-10 Has knowledge about the nature and historical development of mathematics. PO-12 Generates modelling and solutions relating problems in mathematics and other disciplines. |
Examination |
| LO-2 | Comprehends set, algebra of sets, sets of sets, fragmentation of set sets, product sets, makes different applications and proves theorems related to them. |
PO-2 Has the information about the nature, source, limit, accuracy, validity and reliability of knowledge. PO-7 Uses mathematical language accurately and effectively in their mathematics courses and in planning learning and teaching process. PO-10 Has knowledge about the nature and historical development of mathematics. PO-12 Generates modelling and solutions relating problems in mathematics and other disciplines. |
Examination |
| LO-3 | Understands the relation, the reverse of the relation, the resultant of the relations and makes different applications. |
PO-3 Explains the concepts and the relations between concepts related to the field at a level that can meet the needs of the students. PO-7 Uses mathematical language accurately and effectively in their mathematics courses and in planning learning and teaching process. PO-10 Has knowledge about the nature and historical development of mathematics. PO-12 Generates modelling and solutions relating problems in mathematics and other disciplines. |
Examination |
| LO-4 | It defines equivalence and order relation and explains and exemplifies some basic concepts such as partially ordered set, fully ordered set. |
PO-2 Has the information about the nature, source, limit, accuracy, validity and reliability of knowledge. PO-7 Uses mathematical language accurately and effectively in their mathematics courses and in planning learning and teaching process. PO-10 Has knowledge about the nature and historical development of mathematics. PO-12 Generates modelling and solutions relating problems in mathematics and other disciplines. |
Examination |
| LO-5 | Knows the concept of function, which is a special relation, as well as some special concepts such as surjective and one-to-one functions, and proves theorems related to them. |
PO-2 Has the information about the nature, source, limit, accuracy, validity and reliability of knowledge. PO-7 Uses mathematical language accurately and effectively in their mathematics courses and in planning learning and teaching process. PO-10 Has knowledge about the nature and historical development of mathematics. PO-12 Generates modelling and solutions relating problems in mathematics and other disciplines. |
Examination |
| LO-6 | Explains the concept of permutation and operation, makes different applications and proves theorems related to them. |
PO-2 Has the information about the nature, source, limit, accuracy, validity and reliability of knowledge. PO-7 Uses mathematical language accurately and effectively in their mathematics courses and in planning learning and teaching process. PO-10 Has knowledge about the nature and historical development of mathematics. PO-12 Generates modelling and solutions relating problems in mathematics and other disciplines. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| This course covers Symbolic logic and proof techniques; It covers sets, algebra of sets, relations, functions, permutations, and operations. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Symbolic logic and proof techniques; | Narration Method |
| 2 | sets | Narration Method |
| 3 | algebra of sets | Narration Method |
| 4 | cluster teams their fragmentation, | Narration Method |
| 5 | relations, inverse of relation, resultant of relations | Narration Method |
| 6 | equivalence relations and equivalence classes | Narration Method |
| 7 | equivalence relations and equivalence classes | Narration Method |
| 8 | mid-term exam | |
| 9 | order relations | Narration Method |
| 10 | partially ordered set, fully ordered set | Narration Method |
| 11 | functions, one-to-one and overlay functions | Narration Method |
| 12 | resultant of functions, inverse of functions | Narration Method |
| 13 | permutations | Narration Method |
| 14 | transactions | Narration Method |
| 15 | transactions | Narration Method |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Arıkan, A., Halıcıoğlu, S. (2016) . Soyut matematik, palme yayıncılık. | |
| Required Course instruments and materials | ||
| textbook and notebook | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 7 | 1 | 40 |
| Other assessment methods | |||
| 1.Oral Examination | |||
| 2.Quiz | |||
| 3.Laboratory exam | |||
| 4.Presentation | |||
| 5.Report | |||
| 6.Workshop | |||
| 7.Performance Project | |||
| 8.Term Paper | |||
| 9.Project | |||
| final exam | 14 | 1 | 60 |
| Student Work Load | |||
| Type of Work | Weekly Hours | Number of Weeks | Work Load |
| Weekly Course Hours (Theoretical+Practice) | 2 | 14 | 28 |
| Outside Class | |||
| a) Reading | 4 | 14 | 56 |
| b) Search in internet/Library | 4 | 14 | 56 |
| c) Performance Project | 0 | ||
| d) Prepare a workshop/Presentation/Report | 0 | ||
| e) Term paper/Project | 0 | ||
| Oral Examination | 0 | ||
| Quiz | 0 | ||
| Laboratory exam | 0 | ||
| Own study for mid-term exam | 2 | 4 | 8 |
| mid-term exam | 1 | 1 | 1 |
| Own study for final exam | 1 | 4 | 4 |
| final exam | 1 | 1 | 1 |
| 0 | |||
| 0 | |||
| Total work load; | 154 | ||