Abstract:

Geometry is the part of mathematics involved usually in the first year of study at university engineering study programmes. Geometry is very important especially for Civil Engineering study programmes, Mechanical Engineering study programmes and Special Engineering study programmes aimed at Crisis Management and Safety Management. The goals of teaching and learning geometry at these study programmes are obvious:

- knowledge of some parts of geometry is needful in some other courses of the study programme;
- studying geometry trains abilities for planar and spatial imagination of students;
- learning geometry could help to transfer geometric imagination into the real life and a future work of a student.

In the contribution we will give some details on teaching and learning geometric parts of mathematics (e. g. analytic geometry, differential geometry, spherical geometry, computer based geometry, etc.) in enginneering study programmes at university and we will analyze the relations of students´ knowledge of geometry at university to those brought from secondary schools. We will involve our experience with teaching geometric parts of mathematics.

Acknowledgement: This work has been supported by the Slovak grant agency KEGA under the grants No. 088 ŽU - 4/2011 and No. 057ŽU - 4/2012.

Keywords:

Geometry, mathematics, engineering study programme, analytic geometry, differential geometry, spherical geometry, computer based geometry.