Title: 1' dia
1Let's explore the beauty of geometry
2 The following education programme is
recommended for maths teachers and students
dealing with basic geometry at secondary and
higher level of educational institutions. It is
evident for maths teachers that geometry is the
most efficient method to contribute to improve
creative skills and other forms of operation of
thinking. The main reason for geometry
playing such a significant role within
mathematics is its demand for creative ideas
meanwhile essential algorithmical technics are
not eligible to provide us with solutions for
tipical geometric problems. Since the
education of geometry has been strictly limited
in most European countries, we need supplementary
programmes to fullfill the interest of the
teachers and students dealing with basic geometry
in secondary and higher level of educational
institutions.
3 This programme, focusing on a new technology
of education, involving PowerPoint consists of
five themes. These themes are not part of the
syllabus in any European country. In
accordance with previous experience, our main
idea was to approach these themes by the
science-history of geometry. Such methodology is
supposed to be a great supporter of motivation to
inspire students for further research. Our
first theme is based on Ptolemys theorem and on
its applicability. The next theme deals with
the characteristics of triangles. The third theme
is focused on the Simson-line, its origin and
special quality. The fourth theme discovers
Napoleons theorem, the Napolean-kind
triangles. And finally, the fifth theme operates
with the Torriccelli point of the triangle.
The whole programme is available for downloads
and printing.