.
1. Academic level
of the *students: pupils 11 – 14 years
old; first class, second class and third class of Italian
lower secondary school.
2. Reflection on
the *mathematical content* from a didactical point of
view which might focus in epistemology, history, social
issues, etc:
History  the evolution
of geometry, in some examples:
 Greek ceramics and Roman Mosaics
 Cartesian Geometry and the geometrical Transformations
From this last step we can come back until the ancient Greek with some simple
uses of Logo, sometimes it will be possible to study the same problem with
a different point of view: for example the constructions of the regular
polygons with Logo or with Euclidean way.
So it is very important to study the structures of geometrical figures in a
dynamic approach ( see the Erlangen’s Program), with transformations
of modulus etc..
3. Description
of the *used materials*, availability, and classification
according to the process followed (v. gr.: initial assessment,
classroom presentation, homework, group work, final assessment,
etc.):
At the beginning the class works without computer only with pencil and paper
and a pupil behaves like a robot to understand the difference between to
teach a procedure and to execute a procedure.
Then the teacher shows the program (we use Berkeley’s University MSWLogo,
with a little translator from English instructions to Italian instructions).
The first times the pupils work in pairs, so they can help themselves.
This work is completely operative: the used materials allow both an help and
an autonomous resolution of the problem.
The realization of the project is often the final assessment, some things are
important:
 conformity beetwen the final object
and the starting project;
 choice of the more economic way;
 presence of original observations
and reflections…
Slide show of some works
