Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 4 / 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 | SOLMAZ DAMLA GEDİK ALTUN (sdgedik@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | SOLMAZ DAMLA GEDİK ALTUN, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| The aim of this course is to explore philosophical problems related to mathematics and to identify and explore the uncertainties underlying the philosophy of mathematics and mathematics. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Students will be able to explain the place of mathematics among the sciences. |
PO-10 Has knowledge about the nature and historical development of mathematics. |
Examination |
| LO-2 | Students will be able to explain basic mathematical concepts such as theorem, proof and axiom. |
PO-7 Uses mathematical language accurately and effectively in their mathematics courses and in planning learning and teaching process.
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Examination |
| LO-3 | Students will be able to explain the objectivity and real-world applicability of mathematics. |
PO-2 Has the information about the nature, source, limit, accuracy, validity and reliability of knowledge. PO-16 Evaluates the knowledge and skills in a critical way. PO-18 Uses ways to reach the information effectively. |
Examination |
| LO-4 | Students will be able to explain the views of important scientists working in the field of philosophy of mathematics. |
PO-2 Has the information about the nature, source, limit, accuracy, validity and reliability of knowledge. PO-10 Has knowledge about the nature and historical development of mathematics. |
Examination |
| LO-5 | Students will be able to explain the basic theories in the philosophy of mathematics. |
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. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Ontology and epistemology of mathematics, Numbers, sets, functions, etc. mathematical concepts and meanings of propositions and mathematical expressions. Fundamentals of mathematics, methods and philosophical problems related to the nature of mathematics. Objectivity in mathematics and its applicability to the real world. The work of pioneers of the philosophy of mathematics such as Frege, Russell, Hilbert, Brouwer, and Gödel. Fundamental theories in the philosophy of mathematics: Logicism (Logisicm), Formalism (Formalism), Structuralism and Intuitionism (Intuitionism), the work of the pioneers of the philosophy of mathematics such as Frege, Russell, Hilbert, Brouwer, and Gödel | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | What is math? | Discussion Method, Narration Method |
| 2 | Mathematics and science | Discussion Method, Narration Method |
| 3 | The place of mathematics in science | Discussion Method, Narration Method |
| 4 | Mathematical thinking methods | Discussion Method, Narration Method |
| 5 | Inductive deductive discrimination | Discussion Method, Narration Method |
| 6 | Meanings of various mathematical concepts and propositions | Discussion Method, Narration Method |
| 7 | Objectivity in mathematics and applicability to the real world | Discussion Method, Narration Method |
| 8 | mid-term exam | |
| 9 | depressions in mathematics | Discussion Method, Narration Method |
| 10 | Philosophical views on the foundations of mathematics | Discussion Method, Narration Method |
| 11 | logicism | Discussion Method, Narration Method |
| 12 | Formalism | Discussion Method, Narration Method |
| 13 | intuitionism | Discussion Method, Narration Method |
| 14 | Structuralism | Discussion Method, Narration Method |
| 15 | The work of pioneers of the philosophy of mathematics such as Frege, Russell, Hilbert, Brouwer, and Gödel | Discussion Method, Narration Method |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Matematik felsefesi, Bekir S. Gür, Kadim Yayınları. | |
| 2 | Matematiksel düşünme, Cemal Yıldırım, Remzi Kitabevi. | |
| Required Course instruments and materials | ||
| textbook | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 8 | 1 | 40 |
| Other assessment methods | |||
| 1.Oral Examination | 0 | 0 | 0 |
| 2.Quiz | 0 | 0 | 0 |
| 3.Laboratory exam | 0 | 0 | 0 |
| 4.Presentation | 0 | 0 | 0 |
| 5.Report | 0 | 0 | 0 |
| 6.Workshop | 0 | 0 | 0 |
| 7.Performance Project | 0 | 0 | 0 |
| 8.Term Paper | 0 | 0 | 0 |
| 9.Project | 0 | 0 | 0 |
| final exam | 15 | 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 | 1 | 14 | 14 |
| b) Search in internet/Library | 1 | 14 | 14 |
| c) Performance Project | 0 | 0 | 0 |
| d) Prepare a workshop/Presentation/Report | 0 | 0 | 0 |
| e) Term paper/Project | 0 | 0 | 0 |
| Oral Examination | 0 | 0 | 0 |
| Quiz | 0 | 0 | 0 |
| Laboratory exam | 0 | 0 | 0 |
| Own study for mid-term exam | 1 | 7 | 7 |
| mid-term exam | 1 | 8 | 8 |
| Own study for final exam | 1 | 14 | 14 |
| final exam | 1 | 15 | 15 |
| 0 | |||
| 0 | |||
| Total work load; | 100 | ||