Vektori u nastavi matematike

master's thesis

• Author: Robert Bozoki
• Mentor: Maja Starčević (mentor)
• Committee member: Maja Starčević (predsjednik povjerenstva)
• Committee member: Marko Tadić (član povjerenstva)
• Committee member: Vedran Krčadinac (član povjerenstva)
• Committee member: Matija Kazalicki (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2018-09-27, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom radu smo usporedili uvođenje pojma vektora u raznim udžbenicima, te smo naveli razlike u definicijama i iskazima tvrdnji vezanih uz vektore koje nalazimo u tim udžbenicima. Definicije i svojstva navedena na početku korištena su u nastavku rada. Zatim smo na konkretnim primjerima pokazali kakve se sve vrste geometrijskih problema mogu riješiti pomoću vektora. Na kraju smo riješili nekoliko zadataka geometrijskom, vektorskom i analitičkom metodom.

Abstract (english)

In this paper, we compared the introduction of vectors in various textbooks, and we have noted differences in definitions and statements related to vectors in these textbooks. The definitions and properties listed at the beginning were used in the following. Then we have shown in concrete examples what kind of geometric problems can be solved using vectors. Finally, we have solved several tasks with geometric, vector and analytical method.

• Keywords: nastava matematike; vektori; geometrijski problemi; geometrijska metoda; vektorska metoda; analitička metoda
• Keywords (english): teaching mathematics; vectors; geometric problems; geometric method; vector method; analytical method
• Language: croatian
• URN:NBN: urn:nbn:hr:217:404214
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2019-01-21 11:33:18