Article Summary

How Can Geometry Students Understand What It Means to Define in Mathematics?   PDF
PATRICIO HERBST, GLORIANA GONZALEZ, & MICHELE MACKE

2006, Vol. 15, No. 2, 17-24

Abstract:
This article discusses how a teacher can prepare the terrain for students to understand what it means to define a figure.
Drawing on writings from mathematicians and mathematics educators on the role of definitions in mathematics, the authors
argue that students develop a greater appreciation for the conciseness of a mathematical definition if they are involved in
activities of generating figures that meet stipulated properties. The authors illustrate that argument with episodes from
students’ play of a game called Guess My Quadrilateral! in two high school geometry classes.

 


Last modified: 30 July 2012.
© 2012 by the Mathematics Education Student Association at The University of Georgia. All rights reserved.

The content and opinions expressed on this Web page do not necessarily reflect the views of nor are
they endorsed by the University of Georgia or the University System of Georgia.