Course Language:
İngilizce
Course Objectives:
The aim of this course is to examine the fundamental concepts of elementary mathematics and solving problems and proving theorems related to those concepts.
Course Content:
|
Number concept and its development.
Trigonometry and its applications. Development of algebraic concepts. Calculation of probability |
Course Methodology:
1. Lecture 2. Case study 3. Discussion 4. Demonstration 5. Group work 6. Microteaching 7. Problem solving
Course Evaluation Methods:
a. Supply type B. Multiple-choice test C. Incomplete D. True-False E. Oral exam F. Portfolio G. Performance type H. Report
Vertical Tabs
Course Learning Outcomes
| Learning Outcomes | Program Outcomes | Teaching Methods | Assessment Methods |
| 1) Explains the number concept and number systems used in history. | 2 | 1, 3 | A, E |
| 2) Solves problems and proves theorems related to numbers. | 1, 2, 3 | 1, 3, 7 | A, E |
| 3) Explains trigonometry and its applications. | 1, 2 | 1, 3 | A, E |
| 4) Explains evolution of algebra. | 1, 2, 3 | 1, 3 | A, E |
| 5) Solves problems and proves theorems related to algebra. | 1 | 1, 3, 7 | A, E |
| 6) Explains the development of probability concept. | 1, 2, 3 | 1, 3 | A, E |
| 7) Solves problems and proves theorems related to probability. | 1, 2, 3 | 1, 3, 7 | A, E |
Course Flow
| COURSE CONTENT | ||
| Week | Topics | Study Materials |
| 1 | Evolution of number concept | |
| 2 | Number systems | |
| 3 | Problems related to numbers | |
| 4 | Problems and proves related to numbers | |
| 5 | Problems and proves related to numbers | |
| 6 | Evolution of trigonometry and its applications | |
| 7 | Evolution of trigonometry and its applications | |
| 8 | Midterm | |
| 9 | Evolution of algebra | |
| 10 | Algebra problems | |
| 11 | Algebra problems and proofs | |
| 12 | Historical development of probability concept | |
| 13 | Probability problems | |
| 14 | Probability problems and proof | |
Recommended Sources
| RESOURCES | |
| Compulsory |
Baumgart, J. K. (Ed). (2006). Historical topics for the mathematics classroom. Reston, VA: National Council of Teachers of Mathematics.
Eves, H. (1990). An introduction to the history of mathematics. New York: Brooks Cole. Eves, H. (1990). Foundations and fundamental concepts of mathematics. New York: Dover |
| Recommended | TÜBİTAK Popüler Bilim Yayınları |
Material Sharing
| COURSE MATERIALS | |
| Documents | Hand-outs for in-class activities |
| Assignments |
Problems about numbers, trigonometry and algebra from the textbook.
|
| Exams | Midterm and final exams |
Assessment
| ASSESSMENT | ||
| IN-TERM STUDIES | Quantity | Percentage |
| Midterm | 1 | 30 |
| Final | 1 | 40 |
| Assignment | 2 | 30 |
| Total | 100 | |
| Contribution of Final Exam to Overall Grade | 40 | |
| Contribution of In-term Studies to Overall Grade | 60 | |
| Total | 100 | |
Course’s Contribution to Program
| COURSE CONTRIBUTION TO PROGRAM OUTCOMES | ||||||
| No | Program Outcomes | Level of contribution | ||||
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | Knows historical, cultural and scientific developments of the mathematical and geometrical concepts covered in elementary school mathematics curriculum. | X | ||||
| 2 | Applies fundamental mathematical and geometric concepts into other disciplines and real life situations. | X | ||||
| 3 | Applies mathematical processes (e.g. problem solving, proving theorems, etc.) into given cases accurately. | X | ||||
| 4 | Plans for teaching mathematics in line with the elementary school mathematics curriculum’s vision, philosophy and goals. | X | ||||
| 5 | Uses teaching strategies and techniques that are appropriate for students’ age, grade level, individual differences and readiness level. | X | ||||
| 6 | Determines and applies appropriate strategies and materials to foster and evaluate students’ mathematical thinking skills. | |||||
| 7 | Uses and develops appropriate resources and materials to teach mathematics. | X | ||||
| 8 | Monitors students’ learning process, development and achievement and assesses them by using appropriate assessment tools. | X | ||||
| 9 | Improves professional knowledge by following recent issues in mathematics education. | X | ||||
| 10 | Contributes to the development of mathematics education by doing scientific research. | X | ||||
ECTS
| ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION | |||
| Activities | Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Course hours (including the exam week: 15 x total course) | 15 | 3 | 45 |
| Hours for off-the-classroom study (pre-study, practice) | 15 | 3 | 45 |
| Midterm | 1 | 10 | 10 |
| Assignment | 2 | 5 | 10 |
| Final Exam | 1 | 10 | 10 |
| Total Workload | 120 | ||
| Total Workload / 25 (hours) | 4.8 | ||
| ECTS | 5 | ||