| Course Name | Code | Semester | T+U Hours | Credit | ECTS |
|---|---|---|---|---|---|
| Mathematics and Mistake | IME 412 | 8 | 3 + 0 | 3 | 5 |
| Precondition Courses | |
| Recommended Optional Courses | |
| Course Language | Turkish |
| Course Level | Bachelor's Degree |
| Course Type | Optional |
| Course Coordinator | Dr.Öğr.Üyesi NURAY ÇALIŞKAN DEDEOĞLU |
| Course Lecturers | |
| Course Assistants | Research Assistant Büşra Çaylan |
| Course Category | Field Proper Education |
| Course Objective | Create awareness about the mistakes made in mathematics and to investigate ways of correcting these errors. |
| Course Content | What is a mathematical error?, What are the reasons for making mistakes, in mathematics?, The relationship between the misconception and error, mathematical proofs, paradoxes, errors whiches known correct, mathematical sophistry. |
| # | Course Learning Outcomes | Teaching Methods | Assessment Methods |
|---|---|---|---|
| 1 | Explain the reasons of mathematical errors. | Lecture, Question-Answer, Discussion, | Testing, Oral Exam, Homework, |
| 2 | Apply the methods of mathematical proof. | Lecture, Question-Answer, Discussion, Brain Storming, | Testing, Oral Exam, Homework, |
| 3 | Illustrate the mathematical sophistry. | Lecture, Question-Answer, Discussion, Brain Storming, | Homework, Testing, Oral Exam, |
| 4 | Question errors whiches known correct in mathematics. | Lecture, Drilland Practice, Self Study, | Testing, Homework, |
| 5 | Lecture, Question-Answer, Discussion, Brain Storming, | Testing, Oral Exam, Homework, | |
| 6 | Lecture, Question-Answer, Discussion, Brain Storming, | Testing, Oral Exam, Homework, |
| Week | Course Topics | Preliminary Preparation |
|---|---|---|
| 1 | What is a mathematical error? | |
| 2 | What are the reasons for making mistakes, in mathematics? | |
| 3 | What are the reasons for making mistakes, in mathematics? | |
| 4 | The relationship between the misconception and error. | |
| 5 | Methods of mathematical proofs. | |
| 6 | Methods of mathematical proofs. | |
| 7 | Paradoxes. | |
| 8 | Paradoxes. | |
| 9 | Mid-term exam. | |
| 10 | Errors whiches known correct. | |
| 11 | Errors whiches known correct. | |
| 12 | Errors whiches known correct. | |
| 13 | Mathematical sophistry. | |
| 14 | Mathematical sophistry. |
| Resources | |
|---|---|
| Course Notes | |
| Course Resources | Matematik ve Hata, Pan yayıncılık, İstanbul (Yazar: Nurettin ÇALIŞKAN) |
| Order | Program Outcomes | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Have general information about basic concept, theory and applicaitons on mathematics | X | |||||
| 2 | Have ability of mathematical thinking and apply to real life | X | |||||
| 3 | Classify a problem systematically also create comprehensible, understandable and objective solutions | X | |||||
| 4 | Establish relationship among events looked different | X | |||||
| 5 | Get clear and exact ideas about relationships among time, place and numbers | X | |||||
| 6 | Use principles of scientific method on problem solving | X | |||||
| 7 | Have character on explorer, impartial, disinterested, give sound decisions, open mind and believe that spreading information is needed | X | |||||
| 8 | Think creative and critical | X | |||||
| 9 | Improve methods as fast, understandable and practical to faced problems | X | |||||
| 10 | Have information about national and international modern problems | ||||||
| 11 | Get life long learning behaviour | X | |||||
| 12 | Know and apply approach, aim, goal, principle and techniques of teaching program on special field with basic value and principles of Turkish National Education System | X | |||||
| 13 | Evaluate development and learning of students, provide to evaluate self-assessment and other students. Use the assessment results to better instruction; share the results with student, parent, administrators and teachers. | ||||||
| 14 | Endeavor for constant development by making self-evaluation. Open the new knowledge and ideas, have a role to develop himself/herself and his/her institution. Have enough knowledge and conscious to protection subjects on society values and environment. | ||||||
| 15 | Interrogator ( get habit to find source of knowledge by asking “Why?” question instead of direct acceptance to given knowledges ) | X | |||||
| Evaluation System | |
|---|---|
| Semester Studies | Contribution Rate |
| 1. Ara Sınav | 40 |
| 1. Kısa Sınav | 20 |
| 1. Ödev | 20 |
| 2. Kısa Sınav | 20 |
| Total | 100 |
| 1. Yıl İçinin Başarıya | 50 |
| 1. Final | 50 |
| Total | 100 |
| ECTS - Workload Activity | Quantity | Time (Hours) | Total Workload (Hours) |
|---|---|---|---|
| Course Duration (Including the exam week: 16x Total course hours) | 16 | 3 | 48 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 3 | 48 |
| Mid-terms | 1 | 3 | 3 |
| Quiz | 2 | 3 | 6 |
| Assignment | 1 | 10 | 10 |
| Final examination | 1 | 3 | 3 |
| Total Workload | 118 | ||
| Total Workload / 25 (Hours) | 4.72 | ||
| dersAKTSKredisi | 5 | ||