1. Semantic environments used for the introduction of linear equations.
2. Structural environments.
3. Multiplicative operations - different algorithms, algebrograms.
4. Series and regularities, diagrams.
5. Word problems.
The aim of course is a change of attitudes of students towards arithmetic. The tool of change is a creation of series of arithmetical problems from the easiest to the difficult ones, looking for understandable formulations of problems, using experiment in solving problem, formulations of thypotheses and their proving on models, application of various methods of solving one mathematical problem related to supposed various levels of mathematical abilities of pupils of primary school age.