Geodesic
Analyzing the role of shapes in the process of writing proofs in model of p-m combinations
The Teaching of Mathematics, XII (2009) no. 1, p. 15 .

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The figure, that a student draws, when attempting to write a proof, does not represent a unique shape; it represents rather many shapes. All these shapes are representations that result from the unique figure. Moreover, a plane geometrical figure consists of points, line segments, rays, and lines. We call these ``figure components''. We stress that it is not quite easy for senior high school students to recognize either all the representations that result from a unique static figure or the roles that figure components play in a geometric sketch. In this article we analyse the role of shapes in the process of writing proofs in Model of p-m Combinations focusing both on three extremely important questions that help students’ geometry thinking and on the representations that result from dynamic geometry software (DGS) environments.
Classification : 1AMS00A35 2ZDMG43
Keywords: Model of p-m Combinations, figure components, representation, dynamic geometry software. 
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George Dimakos; Emmanouil Nikoloudakis. Analyzing the role of shapes in the process of writing proofs in model of p-m combinations. The Teaching of Mathematics, XII (2009) no. 1, p. 15 . http://geodesic.mathdoc.fr/item/TM2_2009_XII_1_a2/