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The Results Achieved in Continuous Formation of
Mathematics Teachers in a Virtual Learning
Environment
GEOGEBRA 2009
Celina. A. A. Abar
Post-Graduate Program Studies in Mathematic Education
Pontifical Catholic University São Paulo
[email protected]
There is 3 Programs in Mathematic
Education at PUC/SP in MOODLE
 Pos-Graduate Math Education: (one
semester, presencial class every week, use
geogebra and others ICTs). Our presentation
in this conference.
 Bachelor Graduate (3 years, all maths
disciplines use Geogebra and others ICT
and begins March 2009)
 Continuous Formation On-Line: 44 hours, 8
weeks and use only Geogebra. Begins
August 2009. We are doing all material.
Post-Graduate Program Studies in
Mathematic Education PUC/SP
The fundamental issue of this work is to
identify the possibilities and limits of
technology integration by the students of
this program in the disciplines activities and
minimize the difficulties of teachers when
joining Virtual Learning Environments (VLE)
to allow an interactive and collaborative
work.
Environment Moodle
The use of the environment Moodle allowed us
to break barriers of time and distance;
It is an interactive and collaborative work with
very positive results;
The participants get involved in the learning’s
context;
They propose problems and its resolutions,
formulate hypotheses, observe and review
their previous designs, make decisions, in a
dialogue with the reality of their practice
teaching.
Moodle
What is important?
All the subjects proposed had as support texts
and theoretical research on the use of ICT in
teaching and learning of mathematical
content to subsidize the development of the
training.
How to do?
Activities with content on functions, geometry
and algebra were proposed with the use of
Geogebra.
In the studies of Dynamic Geometry the
programs Cabri Géomètre and Geogebra were
chosen because they’re used in most schools
and also because Geogebra permit free
access and a practical use.
ORIENTATIONS TO TEACHERS
In this final activity, we’ll consider the computer as a teaching
support, with its facilities and difficulties, its feedback and
the possibility to monitor the construction of knowledge by
the student. Thus, with your partners, prepare activity
proposal using computer highlighting:
 Theme chosen.
 Justification of the choice of the theme in accordance with
curricular guidelines and research conducted in the field of
mathematics education.
 Justification of the media chosen.
 Justification of the methodology used.
 Activity (s) proposed with your goal(s).
 Relevant considerations.
 References.
Each group should submit and implement its proposal to the
others, on dates that will be disclosed later. Meanwhile,
among members of the group, discuss and refine the
proposal. Good work!
Geogebra 1
Applets
Geogebra 2
Area
Geogebra 3
Area
Geogebra 4
NIne Points Theorem
Geogebra 5
Symmetries
Results
Results
It is gratifying to notice these results, because even those
teachers reluctant in using computers become
enchanted with their own abilities’ progress.
 (ST2) We’ve finished the activities of Cabri and started the
activity concerning the operation of other softwares for
dynamic geometry, as the Ruler and Compass and Geogebra.
We made some activities in Geogebra and concluded them,
putting in the portfolio. I found it very interesting because it
provided new knowledge about Geometry Dynamics.

(ST4) We made activities of Geogebra. It is always good to
make activities in Geogebra ... thinking in how each of the
activities was built make us reflect and rethink the properties
of each figure ... It always inspire me to have new ideas.
Conclusions
The Virtual Learning Environments safely
permit these records and offer an analysis of
the entire path of the student.
 80% choice GeoGebra for final project.
(ST3) Geogebra is the best free software to
development activities in all Mathematical
contents.
Conclusions
We believe that overcoming the difficulties in
the use of technology in teaching practice
depends largely on the teacher and the
actions required to develop his own
training and autonomy.
THANK YOU!
Celina A. A. P. Abar
[email protected]
PUC/SP