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IMO 325 - Teaching Geometry and Measurement

Faculty of Education · Secondary School Mathematics Education · Undergraduate

ECTS: 4 T+P+L: 3+0+0 Compulsory
Coordinator: Prof. Dr. Hasan ÜNAL
Instructors: Prof. Dr. Hasan ÜNAL

Course Objective

This course addresses the required instructional methods, techniques, strategies, resources, and assessment considerations for effective teaching of middle school mathematics that focuses on geometry and measurement. Explain how the teaching of geometry be effective and designing the learning environment to ensure the development of geometric thinking in children.

Course Content

The development of geometrical thinking in children, Teaching the basic principles of geometry, Van Hiele levels of geometry learning, Basic geometry concepts, Transformation geometry and teaching the transformation geometry, Teaching of space geometry and three-dimensional geometrical objects, Teaching of geometry by proof method, Teaching of basic geometric drawings(by compasses, set square, ruler, protractor, etc), Teaching of the coordinate system, Teaching of the concept of symmetry, Common misconceptions in the field of geometry, National and international articles in the field.

Course Learning Outcomes

  1. Students will gain knowledge about the teaching of geometry.
  2. Students will gain perspectives on problem solving.
  3. Students will be able to analyze properties of two-and three-dimensional geometric shapes.
  4. Students will be able to explain and apply definition of geometry,its structure and usage in real life.
  5. Students will be able to solve problems related similar triangles, similarity theorems, applications about similarity on triangles.

Core Area Distribution

(46) Mathematics and Statistics%100

Teaching Methods

ExpressionExercise and PracticeProblem Solving

Assessment & Evaluation

Testing (Essay / Tests: True-Falls, multiple-choice, short answer, matching)

ECTS / Workload

ActivityQuantityDuration (h)Total Workload
Course Duration (Including Exam Week)16348
Out of Class Study Period16348
Midterm144
Quiz000
Assignment000
Practice000
Final144

Course Schedule

WeekSubjectPreparation
1Van Hiele thinking levelsA preliminary study on the relevant chapter
2Basic geometric concepts, geometric structures, geometric objectsA preliminary study on the relevant chapter
3Parity and similarityA preliminary study on the relevant chapter
4Transformation geometry, projection, pattern and ornament, fractalsA preliminary study on the relevant chapter
5Pythagorean theoremA preliminary study on the relevant chapter
6The nature of the measurementA preliminary study on the relevant chapter
7Length measurementA preliminary study on the relevant chapter
8MidtermMidterm
9Area measurementA preliminary study on the relevant chapter
10Volume measurementA preliminary study on the relevant chapter
11Understanding and interpreting student's thoughts on conceptsA preliminary study on the relevant chapter
12Student difficulties, mistakes, misconceptions and reasonsA preliminary study on the relevant chapter
13Relationship between geometry and measurement in daily life and other coursesA preliminary study on the relevant chapter
14Relationship between geometry and measurement in daily life and other coursesA preliminary study on the relevant chapter
15Preparation for Final ExamA preliminary study on the relevant chapter
16FinalFinal Exam