COURSE UNIT TITLE

: FIELD ELC. 3 (MATHEMATICS OLYMPIADS: GEOMETRY)

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
LMÖ 2014 FIELD ELC. 3 (MATHEMATICS OLYMPIADS: GEOMETRY) ELECTIVE 2 0 0 4

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR AYTEN ERDURAN

Offered to

Mathematics Teacher Education

Course Objective

To provide students with the ability to solve geometry questions used in Mathematics Olympiads; to recognize special techniques, auxiliary drawings and problem-solving strategies.

Learning Outcomes of the Course Unit

1   Have general knowledge about Olympic geometry problems.
2   Analyze national and international Olympic questions in the field of geometry.
3   Apply auxiliary drawings and transformations in the solution process.
4   Develop proof skills in Olympic problems.
5   Produce alternative ways in the problem solving process.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Introduction to Olympiad Geometry
2 Basic Auxiliary Constructions
3 Fixing Angles and Lengths
4 Similarity and Triangle Congruence
5 Circles and Inversion
6 Analytic Geometry Approaches
7 Proof Strategies in Coordinate Plane
8 General review, course evaluation, midterm exam
9 Power of a Point and Radical Axes
10 Area and Perimeter Problems in Triangles
11 Radii, Tangents and Points of Contact
12 Geometry with Vectors
13 Challenging Olympiad Problems
14 Final Exam Review and Evaluation
15 Final Exam

Recomended or Required Reading

Şahin, M. (2018). Matematik Olimpiyatlarına Hazırlık Geometri 1, Palme Yayınları
Şahin, M. (2019). Matematik Olimpiyatlarına Hazırlık Geometri 2, Palme Yayınları
Şahin, M. (2020). Matematik Olimpiyatlarına Hazırlık Geometri 3, Palme Yayınları

Planned Learning Activities and Teaching Methods

Discussion, Question-Answer, Group work

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Midterm
2 FN Semester final exam
3 BNS BNS Student examVZ * 0.40 + Student examFN * 0.60
4 BUT Make-up note
5 BBN End of make-up grade Student examVZ * 0.40 + Student examBUT * 0.60


Further Notes About Assessment Methods

Evaluation of students is measured through midterm and final exams in line with learning outcomes.

Assessment Criteria

Assessment of students is measured by midterm and final exams in line with the learning outcomes.

Language of Instruction

Turkish

Course Policies and Rules

70% class attendance is mandatory.

Contact Details for the Lecturer(s)

ayten.erduran@deu.edu.tr

Office Hours

It will be announced at the beginning of the semester.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 2 26
Preparations before/after weekly lectures 13 3 39
Preparation for midterm exam 1 10 10
Preparation for final exam 1 20 20
Final 1 1 1
Midterm 1 1 1
TOTAL WORKLOAD (hours) 97

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15PO.16PO.17PO.18
LO.134335
LO.2554333
LO.3554333
LO.4554333
LO.5554333