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

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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. 
@article{TM2_2009_XII_1_a2,
     author = {George Dimakos and Emmanouil Nikoloudakis},
     title = {Analyzing the role of shapes in the process of writing proofs in model of p-m combinations},
     journal = {The Teaching of Mathematics},
     pages = {15 },
     publisher = {mathdoc},
     volume = {XII},
     number = {1},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM2_2009_XII_1_a2/}
}
TY  - JOUR
AU  - George Dimakos
AU  - Emmanouil Nikoloudakis
TI  - Analyzing the role of shapes in the process of writing proofs in model of p-m combinations
JO  - The Teaching of Mathematics
PY  - 2009
SP  - 15 
VL  - XII
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM2_2009_XII_1_a2/
LA  - en
ID  - TM2_2009_XII_1_a2
ER  - 
%0 Journal Article
%A George Dimakos
%A Emmanouil Nikoloudakis
%T Analyzing the role of shapes in the process of writing proofs in model of p-m combinations
%J The Teaching of Mathematics
%D 2009
%P 15 
%V XII
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM2_2009_XII_1_a2/
%G en
%F TM2_2009_XII_1_a2
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/