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Teaching Mathematics and its Applications Advance Access published online on May 13, 2007
Teaching Mathematics and its Applications, doi:10.1093/teamat/hrl019
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© The Author 2007. Published by Oxford University Press on behalf of The Institute of Mathematics and its Applications. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org
Received July 1, 2006
Accepted November 1, 2006

Original Papers

Musing on the use of dynamic software and mathematics epistemology

Manuel Santos-Trigo *, Aarón Reyes-Rodríguez, and Hugo Espinosa-Pérez

* To whom correspondence should be addressed.
Manuel Santos-Trigo, E-mail: msantos{at}cinvestav.mx


  Abstract

Different computational tools may offer teachers and students distinct opportunities in representing, exploring and solving mathematical tasks. In this context, we illustrate that the use of dynamic software (Cabri Geometry) helped high school teachers to think of and represent a particular task dynamically. In this process, the teachers had the opportunity of identifying, exploring and supporting mathematical relations that emerged during the solution of the task. We distinguish problem-solving episodes that teachers exhibited while understanding and representing the task, thinking of a solution plan, searching and presenting mathematical arguments and looking for connections.


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