Teaching Mathematics and its Applications Advance Access originally published online on March 13, 2009
Teaching Mathematics and its Applications 2009 28(2):69-76; doi:10.1093/teamat/hrp003
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GeoGebra — freedom to explore and learn*

Department of Mathematics and Computer Sciences, University of St. Clement of Ohrid, Bitola, FYR Macedonia
Department of Mechanical Engineering, University of St. Clement of Ohrid, Bitola, FYR Macedonia
Email: lindas{at}t-home.mk
Submitted November 2008; accepted January 2009
We start by visiting the maths section of the web site answers.yahoo.com. Here, anybody can ask a question from anywhere in the world at every possible level. Answers are given by anyone who wants to contribute and then askers/readers rate the responses. A brief look here and it is starkly clear that our young people are struggling and their ability to think logically—that is understand a problem, organize data into knowns and unknowns, explore possibilities and assess solutions is definitely on the decline. In our opinion, this is more insidious than the actual decline in their overall mathematics skills. Further, one is struck by the fact that technology seems to be contributing to this decline when in fact it should be the opposite. We then examine two question/answer cycles in detail and show how the freeware GeoGebra (www.geogebra.org GeoGebraWiki: www.geogebra.org/wiki GeoGebraForum: www.geogebra.org/forum)—which gives the freedom to explore and learn to everyone, everywhere and at any time—can be of tremendous value to pupils and students in their understanding of mathematics from the smallest ages on up.
*For additional information see http://math247.pbwiki.com/GeoGebra
Linda Fahlberg-Stojanovska is a professor of Mathematics and Computer Sciences at the University of St. Clement of Ohrid, Bitola, FYR Macedonia.
Vitomir Stojanovski is a professor of Mechanical Engineering at the University of St. Clement of Ohrid, Bitola, FYR Macedonia.