The Effectiveness of an Enrichment Program Using Dynamic Geometry Software in Developing Mathematically Gifted Students' Geometric Creativity in High Schools Impact d'un programme d'enseignement enrichi utilisant un logiciel de géométrie dynamique, pour développer la créativité géométrique des élèves à haut potentiel dans le secondaire En Fr

Résumé En Fr

In this study, we1. identify the principles of preparing a suggested enrichment program in Euclidean geometry using dynamic geometrysoftware (Cinderella) to develop the mathematically gifted students' geometric creativity in highschools;2. develop an enrichment program based on the identified principles;3. investigate theeffectiveness of this program by testing it with high schoolstudents. A geometric creativity test (GCT), was developed and a grading method forassessing the mathematically gifted students geometric creativity was established.The material was tested with a group of 7 mathematically gifted students in the Landesgymnasiumfur Hochbegabte (LGH), a public high school for highly gifted and talentedstudents in Schwabisch Gmund (Baden-Wurttemberg, Germany). The students camefrom 11th (5), 10th (1) and 9th (1) grade, two of them were male, five female.In the study, the researcher used a one-group pretest design. In this context the GCT was administered to students as a pretestat the beginning of the study; then the suggested enrichment program was introducedto them in 12 weekly 90-minutes sessions during the first semester of the academic year2008/09. The students retook the GCT as a post-test at the end of the study.The results indicated there were statistically signicant dierences between the meanranks of the subjects' scores on the pre-post measurements of the geometric creativitytest and its subscales in favor of the post measurement. The results also revealed thatthe suggested enrichment program was signicantly eective in developing geometriccreativity as a whole ability and its four sub-components { uency, exibility, originality,and elaboration.

Thèse de l'université pédagogique de Schwäbisch Gmünd sous la direction d'Ulrich Kortenkamp. Impact d'un programme d'enseignement enrichi utilisant un logiciel de géométrie dynamique appelé Cinderella, afin de développer la créativité géométrique. Un test de créativité géométrique a été développé et permet de valider un impact positif d'un programme spécifique utilisant le logiciel Cinderella auprès de 7 élèves à haut potentiel dans le secondaire.