An Activity Entailing Exactness and Approximation of Angle Measurement in a DGS

Tanguay, Denis; Geeraerts, Loïc; Saboya Mandico, Mireille et Venant, Fabienne (2013). « An Activity Entailing Exactness and Approximation of Angle Measurement in a DGS », dans roceedings of the Eight Congress of European Research in Mathematics (Cerme8). (CERME8, Antalaya, 2013), sous la dir. de Haser, Çiğdem; Ubuz, Behiye et Mariotti, Maria Alessandra.

Fichier(s) associé(s) à ce document :

Prévisualisation	PDF Télécharger (853kB)

Résumé

We describe here an activity seeking a coordination between geometry and arithmetic. It starts from a geometric manipulation with GeoGebra – the iterate rotation of an isosceles triangle forming a regular polygon – and gradually leads students to consider the divisors of 360 and to reflect upon approximations and exact representations of rational numbers related to angle measurements. Through the issue of measurement in geometry, the activity takes place in the ‘geometer-physicist’ paradigm proposed by Tanguay & Geeraerts (2012) and instilled by Jahnke (2007). We propose an a priori analysis of the activity, set within the theoretical frame of Kuzniak (2010, 2013) on Espace de Travail Mathématique (ETM).

Type:	Communication, article de congrès ou colloque
Mots-clés ou Sujets:	linking arithmetic and geometry, exactness, approximation, measurement, dynamic geometry software, geometer-physicist’s paradigm
Unité d'appartenance:	Faculté des sciences > Département de mathématiques
Déposé par:	Fabienne Venant
Date de dépôt:	24 janv. 2018 09:03
Dernière modification:	24 janv. 2018 09:03
Adresse URL :	http://archipel.uqam.ca/id/eprint/10863

Modifier les métadonnées (propriétaire du document)

Statistiques