Syllabus
Topics:
1) Introduction to logic and logical thinking, problem solving and working with information.
2) Concept formation process, mathematical concepts - origin in history, development of mathematical concepts - conditions (concepts of number; 2D and 3D geometric shape), models and representations of concepts, communication in mathematics (verbal and graphic, including images).
3) Introduction to problem solving methods (reasoning, reasoning, matching, comparing, counting, selecting, eliminating, solution tree, measuring, measuring, estimating and verifying).
4) Display in 2D and 3D geometry (identical and similar); identical decomposability in theory and practice.
5) The whole and its parts; the structure of the whole; decomposition, composition and correction.
6) Concepts: shape of thing, shape of picture and shape of line; the line and its role, the way to a graphic sign.
7) Topology elements; labyrinths, single tracks.
Annotation
The aim of the course is to stimulate the students' autonomous thinking, to increase their intellectual self-confidence and to remove their fears about mathematics. Students should create an idea of what constitutes the essence of mathematics, or mathematical thinking and communication. The emphasis in the subject is on constructivist approaches and the concept of complex activities within constructivist divergent didactic structures. Topics:
1) Introduction to logic and logical thinking, problem solving and working with information.
2) Concept formation process, mathematical concepts - origin in history, development of mathematical concepts - conditions (concepts of number; 2D and 3D geometric shape), models and representations of concepts, communication in mathematics (verbal and graphic, including images).
3) Introduction to problem solving methods (reasoning, reasoning, matching, comparing, counting, selecting, eliminating, solution tree, measuring, measuring, estimating and verifying).
4) Display in 2D and 3D geometry (identical and similar); identical decomposability in theory and practice.
5) The whole and its parts; the structure of the whole; decomposition, composition and correction.
6) Concepts: shape of thing, shape of picture and shape of line; the line and its role, the way to a graphic sign.
7) Topology elements; labyrinths, single tracks.