Geometrical figure apprehension and creativity in geometry: What's the nature of their relationship?

Postgraduate Thesis uoadl:3365088 8 Read counter

Κατεύθυνση Διδακτική και Μεθοδολογία των Μαθηματικών
Library of the School of Science
Deposit date:
Sapkas Ioannis
Supervisors info:
Αθανάσιος Γαγάτσης , Ομότιμος καθηγητής Πανεπιστημίου Κύπρου ,
Δέσποινα Πόταρη, Καθηγήτρια Τμήμα Μαθηματικών ΕΚΠΑ,
Σπύρου Παναγιώτης, τέως Αναπληρωτής Καθηγητής Τμήμα Μαθηματικών ΕΚΠΑ
Original Title:
Κατανόηση γεωμετρικού σχήματος και δημιουργικότητα στη Γεωμετρία: Ποια η φύση της σχέσεως τους;
Translated title:
Geometrical figure apprehension and creativity in geometry: What's the nature of their relationship?
Geometry and specifically the understanding of geometric shape is from the first school years of a person, one of the most charming and important parts of his mathematical education. The thoughts that students make in relation to the geometric shape and the common misconceptions that accompany it, are classic issues in modern research of geometry teaching. In this thesis, we will observe and try to characterize the relationship between geometrical figure apprehension and creativity in geometry. In particular, we observe and study the nature of the relationship between them, i.e. whether it is a weak relationship or a strong relationship. To achieve this goal, ninety-five school students aged 15-16 were given two different essays with three problems related to the understanding of geometric shape and two multiple solution problems. The students’ answers were analyzed quantitatively, through inferential statistics, to serve the research question, but also a small qualitative analysis of some answers that are of particular interest. The results reinforce the present research, as they show that there is a strong relationship between the understanding of geometric shape and creativity in Geometry, while specific solutions of students and their approach, depending on their age and their class, are of particular interest.
Main subject category:
Other subject categories:
Education - Sport science
Geometrical figure apprehension, creativity in geometry, multi solutions task
Number of index pages:
Contains images:
Number of references:
Number of pages:
ΔΙΠΛΩΜΑΤΙΚΗ ΣΑΠΚΑΣ ΙΩΑΝΝΗΣ.pdf (15 MB) Open in new window