Course Language:
İngilizce
Course Objectives:
The aim of the course is to learn and explain the fundamentals of Euclidean Geometry and prove theorems and solve problems by using those fundamental postulates and axioms.
Course Content:
Historical development of Geometry
Fundamentals of Euclidean Geometry
Parallel and perpendicular lines
Triangles
Quadrilaterals
Circles
Solids
Area and volume
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 historical development of Geometry. | 2 | 1 | E |
| 2) Explains 5 postulates of Euclidean Geometry. | 1 | 1 | E |
| 3) Defines non-Euclidean Geometry. | 1 | 1 | E |
| 4) Defines fundamental geometric concepts and knows the symbols and figures that represent those concepts. | 1 | 4 | A |
| 5) Construct geometric figures by using compass, protractor and straightedge. | 1 | 1, 4 | A, E |
| 6) Proves theorems about parallel lines, triangles, quadrilaterals, polygons and circles. | 4 | 5, 7 | A |
| 7) Solves problems about parallel lines, triangles, quadrilaterals, polygons, circles and solids. | 1, 3, 4 | 3, 5, 7 | A |
| 8) Uses dynamic geometry software to prove theorems and/or solve problems. | 4, 8 | 4, 7 | G |
Course Flow
| Week | Topics | Study Materials |
| 1 | Fundamentals of Euclidean Geometry | |
| 2 | Parallel and Perpendicular Lines I | Euclidean Axioms |
| 3 | Parallel and Perpendicular Lines II | Basic Geometric Concepts |
| 4 | Congruency | Types of Direct Proof |
| 5 | Congruent Triangles | Congruency |
| 6 | Similarity | Types of Direct Proof |
| 7 | Similar Triangles | Similarity |
| 8 | Midterm | |
| 9 | Properties of Triangles | |
| 10 | Special Triangles | Properties of Triangles |
| 11 | Properties of Polygons | Polygons |
| 12 | Special Quadrilaterals | Quadrilaterals |
| 13 | Circles | Circles |
| 14 | Solids | Prisms and Pyramids |
Recommended Sources
| Compulsory | Larson, R., Boswell, L., & Stiff, L. (2004). Geometry. Evanston, IL: McDougal Littell. |
| Recommended | LYS Geometry Textbooks |
Material Sharing
| Documents | Handouts for in-class activities |
| Assignments |
Problem Set1:
From the textbook: prb. 29 (p. 148), prb. 32-33 (p. 155), prb. 42 (p. 163), prb. 24 (p. 217) Extra 1 problem Problem Set 2: From the textbook: prb. 19 (p. 234), prb. 57 (p. 487), prb. 29 (p. 494), Extra 2 problems Problem Set 3: From the textbook: prb. 41 (p. 361), prb. 47 (p. 362) Extra 3 problems |
| Exams |
Assessment
| IN-TERM STUDIES | Quantity | Percentage |
| Midterm | 1 | 30 |
| Quiz | 2 | 15 |
| Final | 1 | 40 |
| Assignment | 3 | 15 |
| Total | 100 | |
| Contribution of Final Exam to Overall Grade | 40 | |
| Contribution of In-term Studies to Overall Grade | 60 | |
| Total | 100 |
| COURSE CATEGORY | Expertise / Field Courses |
Course’s Contribution to Program
| No | Program Outcomes | Level of contribution | ||||
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | Has in-depth knowledge about elementary school mathematics and geometry contents | X | ||||
| 2 | Knows historical, cultural and scientific developments of the mathematical and geometrical concepts covered in elementary school mathematics and geometry curriculum | X | ||||
| 3 | Applies fundamental mathematical and geometric concepts into other disciplines and real life situations | X | ||||
| 4 | Applies mathematical processes such as problem solving and proving into given cases correctly | X | ||||
| 5 | Plans mathematics and geometry teaching process in line with the elementary school curriculum’s vision, philosophy and goals | X | ||||
| 6 | Uses teaching strategies and techniques that are appropriate for students’ age, grade level, individual differences and readiness level | X | ||||
| 7 | Establishes learning environments that encourages students to learn mathematics and geometry | X | ||||
| 8 | Uses and develop appropriate resources and materials to teach mathematics and geometry | X | ||||
| 9 | Monitors students’ learning process, development and achievement and assesses them by using appropriate assessment tools. | X | ||||
| 10 | Improves professional knowledge by following recent issues in mathematics education | X | ||||
| 11 | Contributes to the development of mathematics education by doing scientific research | X | ||||
| 12 | Knows the philosophy, principles, rules and regulations of Turkish Education System | X | ||||
ECTS
| 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 | 4 | 60 |
| Midterm | 1 | 10 | 10 |
| Quiz | 2 | 5 | 10 |
| Assignment | 3 | 5 | 15 |
| Final Exam | 1 | 15 | 15 |
| Total Workload | 155 | ||
| Total Workload / 25 (hours) | 6.2 | ||
| ECTS | 6 |