**1st module**

**Prof. Marco Andreatta**

**A.A. 1998/99**

**PROGRAMME**

We will focus on the main topics in the field of geometry which are

developed in the junior and high schools. At the beginning we introduce

some primitive concepts (shapes) in an intuitive way proceeding with

parallel construction techniques which make use of rule and compass.
Later

we discuss the logical-deductive approach giving a proof of the main

theorems in euclidean geometry and introducing similar results in

hyperbolic and spherical geometry.

In the last part we present some computer programs useful for the teaching

of geometry (software like Cabri, Mathematica or Maple).

**Reference:**

H. Clemens-M. Clemens, Geometry for the classroom, Springer-Verlag.