COURSE UNIT TITLE

: GEOMETRY TEACHING IN DYNAMIC ENVIRONMENT

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
FMM 6053 GEOMETRY TEACHING IN DYNAMIC ENVIRONMENT ELECTIVE 3 0 0 10

Offered By

Mathematics Teacher Education

Level of Course Unit

Third Cycle Programmes (Doctorate Degree)

Course Coordinator

ASSOCIATE PROFESSOR AYTEN ERDURAN

Offered to

Mathematics Teacher Education

Course Objective

To provide students to effectively use different properties of dynamic geometry softwares, to form microworlds for both Euclid and other geometries by using dynamic geometry softwares, to use dynamic geometry softwares for problem solving and proving.

Learning Outcomes of the Course Unit

1   To be able to use today s popular mathematics and geometry softwares at a high level.
2   To be able to use rich learning environments by using softwares and to analyze these environments.
3   To be able to effectively use dynamic softwares in problem solving process.
4   To be able to use dynamic softwares in proving correctly.
5   To be able to follow scientific publish related to dynamic softwares.
6   To be able to create research project related to dynamic softwares and to publish its results.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 General features of dynamic geometry software
2 Using dynamic geometry software at advanced level
3 Using dynamic geometry software at advanced level
4 Problem solving and dynamic software.
5 Using the geometric location feature as a problem solving tool
6 Learning transformation geometry in dynamic environments: translation, rotation, symmetry, inverse and homoteti transformations.
7 Learning transformation geometry in dynamic environments: Applications of translation, rotation, symmetry, inverse and homoteti transformations.
8 Course overview, evaluation and Midterm exam.
9 The psychology of exploring in dynamic environments: experience, hypothesis, testing, and generalization
10 Proof in dynamic environments.
11 Proof in dynamic environments.
12 The creation of ellipse, parabola, and hyperbole in 3D dynamic environments by using the cross sections of the cone.
13 Examining scientific research in literature about geometry teaching by dynamic geometry software.
14 Students presentations.
15 Final exam.

Recomended or Required Reading

Schattschneider, D., King, J. 2006; Geometry Turned On: Dynamic Software in Learning, Teaching, and Research, The Mathematical Association of America, New York.
Lehrer, R., & Chazan, D. 1998; Designing Learning Environments for Developing Understanding of Geometry and Space, Lawrence Erlbaum, Philadelphia.

Planned Learning Activities and Teaching Methods

Lecture, Discussion, Question-Answer, Problem solving, Active Learning Tecniques, Group work

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTEG MIDTERM GRADE
2 ASG ASSIGNMENT
3 FCG FINAL COURSE GRADE
4 FCG FINAL COURSE GRADE MTEG * 0.30 +ASG* 0.10 + FCG* 0.60
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTEG * 0.30 + ASG * 0.10 + RST * 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)

ayten.ceylan@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 3 39
Preparations before/after weekly lectures 13 4 52
Preparation for midterm exam 1 10 10
Preparation for final exam 1 15 15
Preparing assignments 2 40 80
Preparing presentations 2 20 40
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 240

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.133
LO.25
LO.35553
LO.4533
LO.55334
LO.6555555533345