E-Locus - Institutional Repository of the University of Crete

Home Collections School/Department School of Sciences and Engineering Department of Mathematics and Applied Mathematics Post-graduate theses

Post-graduate theses

Current Record: 27 of 123

[Add to Basket]

Identifier

000448798

Title

Η αποδεικτική διαδικασία ως μέθοδος διδασκαλίας μέσα απο τα μάτια έμπειρων μαθηματικών της δημόσιας και ιδιωτικής εκπαίδευσης

Author

Συγκελάκης, Αλέξανδρος

Thesis advisor

Πολύδωρος, Γεώργιος

Reviewer

Παπαδοπούλου, Σουζάνα
Φειδάς, Αθανάσιος

Abstract

The process of mathematical proof is the cornerstone of mathematics and the key element that differentiates it from other sciences that rely on experiments combined with theoretical approach. In the present thesis we analyse the didactic approaches and proposals of experienced high school mathematics teachers concerning the process of proof in secondary education, the ideal way of introducing it according to their proposals and propose a new three-level theoretical model concerning algebra in secondary education analogous to that of Van Hiele's five levels of geometry. Based on this new model and in order to improve the process of proof, we propose a five-subject test in the algebra course of the upper High School (class of 22 students) which the teachers analyse and make their proposals.

Language

Greek, English

Subject

Proof procedure and competence

Issue date

2022-07-22

Collection

School/Department--School of Sciences and Engineering--Department of Mathematics and Applied Mathematics--Post-graduate theses

Type of Work--Post-graduate theses

Permanent Link

https://elocus.lib.uoc.gr//dlib/1/d/2/metadata-dlib-1654510712-495762-19281.tkl