The primordial purpose of our studies has been carrying out a detailed research to describe methods or work procedures in the teaching and application of the mathematics, at a school based or alignment on the mathematics instruction. To be able to study the pupils in their development of the mathematical thinking.

We have carried out a detailed investigation, in the previously mentioned school using the ethnography observation methods directly in the place of the facts. Where it was possible to verify that the mathematics lessons were a consequences of the methods or work procedures which made us deduce that this school did every possible effort to stimulate all the pupils to be better and particularly talented pupils individually to develop one’s talent by means of the following results:

· Develop the logical thinking

· The self-critical ability

· The attitude of the teacher/communication

· A positive work atmosphere

· Organization of the school and the class

· Formation of the theoretical knowledge

Keywords

Mathematical thinking.

Pupils

Independent school