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Geometrical constructions and regular mosaics
Roubíček, Filip
In the teaching of geometry regular mosaics represent a suitable environment for developing of geometrical imagination and constructing procedures based on the use of isometries in plane. Mosaics are plane tesselations, i.e. coverages of plane by (in most case identical) shapes without gaps and overlaps. The construction of a geometrical mosaic follows from a shape of tiles and their assembling. Analyse of a mosaics is based on identification of its grid and a construction of tiles.
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Geometrical imagination as a part of mathematical literacy
Roubíček, Filip
The paper deals with geometrical imagination as ability to interpret geometrical content, evoke images and manipulate with them. It describes approaches to teaching of geometry at primary school (natural geometry, principles of didactical structure of geometry) and activities for development geometrical imagination of pupils.
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Geometrical modelling
Roubíček, Filip
The paper deals with the problem of representation of geometrical objects by means of material models. It includes the description of two methods of modelling in planimetry: geometry of folding paper and geometrical puzzles.
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