MSE451 TEACHING AND LEARNING SECONDARY SCHOOL MATHEMATICS III
| Course Code: | 4600451 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 5.0 |
| Department: | Mathematics and Science Education |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | |
| Offered Semester: | Fall Semesters. |
Course Objectives
OBJECTIVES:
1. Comprehension of the terms/concepts on:
Non-metric Geometry (Point, Space, Plane etc.) ; Angles ; Congruence and similarities; Polygons (i.e. Triangles etc., Trigonometry) ; Circles ; Spatial visualization & Transformation geometry; Solid Figures (Cube, Cylinder, Prism, Cone etc.)
2. Comprehension of meaning of theorem, definition and axiom/postulate.
3. Comprehension of Euclidean Geometry
4. Comprehension of Non-Euclidean Geometry
5. Comprehension of Van Hiele’s ideas
6. Application of theorems, definitions, an axioms on:
- Congruence and similarities ; construction; geometric loci; congruence and similarities; spatial visualization & transformation geometry; polygons (i.e. triangles, quadrilaterals, trigonometry) ; circles; solid figures
5. Development of teaching/learning materials to teach and overcome misconceptions:
- Angles; construction; geometric loci; congruence & similarities; spatial visualization & transformation geometry; polygons; circles; solid figures; evaluation of teaching materials.
6. Enjoy teaching geometry.
7. Be self-confident in teaching of basic geometry concepts
Course Content
Geometric thinking models: Piaget, Van Hiele, Fischbein and Duval; Postulate/Axiom, theorem and definition; Proof techniques for theorems on geometry; Spatial visualization; Spatial orientation; Orthographic and isometric drawings; Non-metric geometry; Geometric construction; Geometric loci; Proof techniques in geometry; Misconceptions and difficulties in geometry; Teaching geometry with dynamic geometry software and concrete materials; Teaching and learning polygons, circles, solids and transformation geometry