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Teaching of Mathematics
2009, vol. 12, br. 1, str. 15-24
jezik rada: engleski
vrsta rada: neklasifikovan

Analyzing the role of shapes in the process of writing proofs in model of p-m combinations
(naslov ne postoji na srpskom)
aUniversity of Athens, Grčka
bLyceum of Peristeri, Grčka

e-adresa: gdimakos@primedu.uoa.gr, enikolou@otenet.gr

Sažetak

(ne postoji na srpskom)
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 analyze 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.

Ključne reči

Model of p-m Combinations; figure components; representation; dynamic geometry software

Reference

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