Syllabus
Concept creation process
Mechanical knowledge, formal teaching
Diagnosis and reeducation of mechanical knowledge
Constructivist approaches to the teaching of mathematics
Project teaching in mathematics
Phylogeny and ontogeny in the concept creation process
Language of mathematics
The notion of number
Models of fractions
Models of negative numbers
Number axis and rational numbers
Real numbers
Percentage
Number and variable
Algebraic expressions
Equations and inequalities
Plane geometry
Geometric constructions, measuring
Space geometry
Modelling, mathematising real situations, interdisciplinarity
Data handling
Preparation for the teaching practice
Annotation
Basic notions of mathematical education: didactic interpretation of mathematical knowledge, concept creation process, mechanical knowledge, constructivism, project teaching. Phylogeny and ontogeny of the concept of number, of the notions from plane and space geometry.
Modelling in mathematics and mathematising of real situations.