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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS FMM 5022 FUNDAMENTAL CONCEPTS AND THEIR TEACHING IN NON-EUCLIDIAN GEOMETRIES ELECTIVE 3 0 0 10

Offered By

Mathematics Teacher Education

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR ŞUUR NIZAMOĞLU

Offered to

Mathematics Teacher Education

Course Objective

Getting to Know the Non-Euclidean Geometry and Application is to make teaching methods and approaches

Learning Outcomes of the Course Unit

1   To know basic concepts of non-Euclidean geometry teaching 2   To be able comprehend different learning methods and approaches in non-Euclidean geometry teaching 3   To be able to famialiar with non-Euclidean geometry learning environments and different tools that can be used in these environments 4   To be able to design a learning environment for teaching a concept of non-Euclidean geometry 5   To be able to evaluate designed learning environment

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Defining non-Euclidian geometries and searching how they were constituted 2 Debating differences between non-Euclidian geometries and Euclidian geometry 3 Searching famous mathematicians' (like Gauss-Bolyai-Lobachevski etc.) studies about the non-Euclidian geometries 4 Debating concepts about the non-Euclidian geometries 5 Searching literature about different learning approaches 6 Comparing these approaches 7 Posing different sides of them 8 Midterm exam. 9 Seaching learning environvent in relation to the non-Euclidian geometries. Developing approaches for constructing selected concepts of the non-Euclidian geometries and designing learning environment by the students 10 Students' representations 11 Making pilot study by the students 12 Continuing the students pilot study 13 Continuing the students pilot study and reporting its outcomes 14 Discussing the pilot study results in whole class 15 Final exam.

Recomended or Required Reading

Studies About non-Euclidian geometries, Mathematics Education Books and Journals

Planned Learning Activities and Teaching Methods

Discussion, group work, lecture.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTEG MIDTERM GRADE 2 FCG FINAL COURSE GRADE 3 FCG FINAL COURSE GRADE MTEG * 0.40 + FCG * 0.60 4 RST RESIT 5 FCGR FINAL COURSE GRADE (RESIT) MTEG * 0.40 + RST * 0.60

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)

suur.noglu@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Theoretical 13 3 39 Pre Class Self Study 13 10 130 Midterm Preparation 1 30 30 Final Preparation 1 40 40 Final Exam 1 1 1 Midterm Exam 1 3 3 TOTAL WORKLOAD (hours) 243

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 PO.12 PO.13 PO.14 LO.1 5 4 4 3 LO.2 3 3 3 2 LO.3 2 2 3 3 LO.4 2 2 3 3 LO.5 3 5 3 3