Arithmetic versus geometry. Cube buildings and cube solids.

Cube nets, square polyominoes. Languages.

Grid paper and grid objects, measurement, circumference, area. Modelling of arithmetical phenomena like fractions, length and area, ratio, percentage, absolute value, divisibility.

The course will follow-up the course of Didactics of mathematics I, which was aimed at arithmetic, and will be focused on geometry. Contrary to arithmetic, the main goal of which was to build the structure of natural and rational numbers using four operations, geometry is aimed at the concept building process, the development of languages in mathematics, the demanding discovery of generic models, revealing relationships and ideas of proofs.