
From: CARLOS RAUL ORTIZ GLASSIANI
from_email: ortiz@chasque.apc.org
Comments:
En el CABRI planteamos el siguiente problema : * _ DADOS TRES PUNTOS NO Alineados ABC horario ( fijos ) . HALLAR EL lugar geometrico de los puntos del plano que cumplan APB = APC DISCUTIR SOLUCIONES . obs . nos parecia interesante por sus posibles soluciones computacionales como aquellas que solamente se resuelven con lapiz y papel esperamos sus respuestas saluda atte . Prof. Carlos Raul Ortiz Glassiani
From: John Olive
from_email: jolive@coe.uga.edu
Comments:
I am one of the discussants for the Panel session at Topic Group 19 at ICME8. You can find my paper for the discussion at: http://jwilson.coe.uga.edu/olive/ICME8TG19/ICME8TG19.html Thanks, John Olive Associate Professor Department of Mathematics Education University of Georgia 105 Aderhold Hall Athens, Ga 306027124 USA (706) 5424557 FAX: (706) 5424539 jolive@abel.math.uga.edu WWW Home Page: http://jwilson.coe.uga.edu/olive/welcome.html
From: Nicolas Balacheff
from_email: nicolas.balacheff@imag.fr
Comments:
Some of these statements express my own point of view, some others do not but they are often in the air and sometimes they land in some papers... 1. CBILEs favour student autonomy to the point where even a teacher is no longer needed. At least a teacher as an instrutor. Because of CBILEs, school can become less dogmatic. 2. Students learn best how to get information from the machine in order to fulfil its expectation than they make effort to understand the knowledge at stake. 3. CBILEs offfer students a more direct relationships to knowledge and its meaning. 4. Direct manipulation of mathematical objects kills the need for intellectual proofs or statements: CBILEs reinforce empiricism. 5. If the computer does it it is not worth trying to learn it, or even to teach it. 6. CBILEs require as much time and effort to be familiar with their functioning as the knowledge to be learned. 7. Real geometry is paper and pencil. 8. CBILEs help to focuss on what is important, and to skip less important facts. And two sentences to complete: 9. CBILEs increase the complexity of teaching because ... 10. CBILEs make easier the teaching of mathematics because ...
From: Carlos Andradas
from_email: andradas@gauss.stanford.edu
Comments:
En primer lugar enhorabuena por las web page. Es una prueba practica de las posibilidades de aplicacion de los computadores a la educacion. (Maybe I should switch to English). I just want to say that I am not at all an expert neither in education nor in computers but it is evident that they are changing the whole society and we in education (and in Math) cannot ignore them. They open a fantastic world, the use of internet in the classrooms is fascinating and that computers offer new and important challenges to the educators. If the (boring) mechanics can be done by a machine in what should we concentrate?
From: Wlodek bryc
from_email: bryc@ucbeh.san.uc.edu
Comments:
This is a question to the group, not a comment. We are accumulating links to Interactive Webbased computer systems of educational purpose in the home page of Online Exercises Project. So far we have located very few, and have even less data on actual usage. I'd appreciate any pertinent info directed towards math education. Please use email bryc@ucbeh.san.uc.edu or leave comments online. Thanks Wlodek Bryc Professor of Mathematics
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