The subject is taught as a joint subject with Gordon Academic College of Education in Haifa, Israel. The teaching is carried out by the cooperation of teachers Dr. Roman Hasek (University of South Bohemia), Prof. Victor Oxman (Gordon Academic College of Education), Prof. Ilya Sinitsky (Gordon Academic College of Education), in the presence of students from both schools. The Euclidean geometry is much wider and deeper than what is taught in school. It is important to provide a teacher with a view on school geometry from the point of Euclidean geometry as a field of knowledge and to demonstrate the place of Euclidean geometry among other branches of mathematics. During the course, the learners will aware of some advanced theorems on points and lines in triangles and special quadrilaterals and will explore some advanced methods of inquiry in geometry, especially the auxiliary constructions for solving problems, the using of dynamic geometry environment for geometric constructions and the ways of generalization and specialization of theorems of Euclidean geometry. Special attention will be paid to the aspects of invariance as a feature of geometric theorems and practical implications, different solutions of the same problem, types and variety proofs, heuristics and proof. The student will: 1. develop a broad concept of the field of Euclidean geometry 2. expand and deepen the competence in the geometry of triangles and quadrilaterals. 3. learn methods to solve geometric construction problems through exploring the concept of locus. 4. develop strategies for inquiry in geometry with the extensive use of dynamic geometry in combination with appropriate reasoning.
The student will develop a broad concept of the field of Euclidean geometry, expand and deepen the competence in the geometry of triangles and quadrilaterals, learn methods to solve geometric construction problems through exploring the concept of locus, develop strategies for inquiry in geometry with the extensive use of dynamic geometry in combination with appropriate reasoning.
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