COURSE UNIT TITLE

: EUCLIDEAN GEOMETRY

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
LME 1006 EUCLIDEAN GEOMETRY COMPULSORY 2 0 0 3

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSISTANT PROFESSOR MELIKE YIĞIT KOYUNKAYA

Offered to

Mathematics Teacher Education

Course Objective

The purpose of this course is to teach the axiomatic structure of geometry, the concept of equality and equivalence of triangles, basic proportional theorems and applications, concept of similarity and similarity of triangles, Seva and Menelaus theorems and applications, right triangles and applications, geometric drawings, concept of polygons and special rectangles, the concept of circle, obtaining the circle s perimeter and area and its applications, space geometry and its basic axioms, the properties of solids, the applications and volume of solids. Additionally, another purpose of the course is to support students in order to reason about the basic concepts and theorems in the geometry teaching programs with vectorial, synthetical and analytical approaches.

Learning Outcomes of the Course Unit

1   LO1. To be able to comprehend axiomatic structure of geometry
2   LO2. To be able to know and apply types of proofs in geometry
3   LO3. To be able to take notice different approaches and their relations in geometry
4   LO4. To be able to develop level of the understanding geometry
5   LO5. To be able to make relation between geometry and daily life

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Axiomatic structure of geometry and Euclidean Geometry
2 Equality of triangles, equality axioms and theorems
3 Similarities of triangles and essential similarity theorems
4 Proof of some theorems by using different approaches: Pythagoras' theorem, angle bisector theorem, median theorem, Menelaus, Ceva and Stewart theorem
5 Gaining triangular region s area with different ways, Heron formula, Gaining triangular region s area with incircles and inscribed circles
6 Geometrical concepts such as square, rectangle, trapezoid, rhombus, deltoid and doing proofs relating to them with different approaches
7 Applications related to topic
8 Midterm exam
9 Concept of circle, theorems about angle and length in circle and their proofs with different approaches
10 Related theorems regarding the properties of tangents and cutting lines of circles and applications of them
11 The concept of circle power, obtaining circumference and area of a circle and applications
12 Space geometry and related concepts and theorems
13 Space geometry and related concepts and theorems
14 Solids and concepts and theorems related to solids
15 Final exam

Recomended or Required Reading

1. Coxeter, H.S.M. 1989; Introduction to geometry, Wiley Publishing, San Francisco.
2. Coxeter, H.S.M., Graitzer, S. 1989; Geometry revisited, The Mathematical Association of America, Washington.
3. Posamentier, A.S. 2002; Advanced Euclidean geometry, Key College, Florida.
4. Sertöz, S. (2018). Öklid in Elemanları. Bilkent Yayınları: Ankara

Planned Learning Activities and Teaching Methods

Lecture, discussion, question-answer, observation, group work, working on a proposal for a research and presentation of it

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Ara Sınav
2 FN Yarıyılsonu Sınavı
3 BNS BNS VZ * 0.40 + FN * 0.60
4 BUT Bütünleme Notu
5 BBN Bütünleme Sonu Başarı Notu VZ * 0.40 + BUT * 0.60


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

melike.koyunkaya@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 2 26
Preparations before/after weekly lectures 13 2 26
Preparation for midterm exam 1 5 5
Preparation for final exam 1 7 7
Preparing assignments 1 10 10
Final 1 1 1
Midterm 1 1 1
TOTAL WORKLOAD (hours) 76

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.155222
LO.255222
LO.355222
LO.455222
LO.5555222

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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