Dokaz u srednjoškolskoj nastavi matematike pomoću programa dinamičke geometrije

master's thesis

• Title (english): Proof in high school mathematics teaching using a dynamic geometry program
• Author: Dora Prah
• Mentor: Eva Špalj (mentor)
• Committee member: Eva Špalj (predsjednik povjerenstva)
• Committee member: Matija Bašić (član povjerenstva)
• Committee member: Marko Radulović (član povjerenstva)
• Committee member: Vedran Čačić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2023-09-22, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Dokaz je temelj matematike kakvu znamo. Kao što je bitan za matematičare, bitan je i za učenike u osnovnoj, te pogotovo srednjoj školi. Dokaz ima više uloga, a jedna od bitnijih uloga dokaza u srednjoškolskoj matematici je dokaz kao sistematizacija znanja. Romb je paralelogram kojemu su bilo koje dvije susjedne stranice sukladne. Iz definicije romba proizlaze njegova svojstva koja je potrebno dokazati. Pojam romba često stvara poteškoće kod učenika. U nastavi matematike potrebno je provesti razne aktivnosti pomoću kojih će se omogućiti učenicima razumijevanje romba. Aktivnosti su napravljene u alatu dinamičke geometrije. Alat dinamičke geometrije pomaže učenicima kod vizualizacije dokaza, te lakšeg razumijevanja.

Abstract (english)

Proof is the foundation of mathematics as we know it. As important it is for mathematicians, it is also important for students in primary and especially secondary school. Proof has multiple roles and one of its essential roles in high school mathematics is proof as a systematization of knowledge. A rhombus is a parallelogram in which any two adjacent sides are congruent. From the definition of a rhombus derive the properties that need to be proven. The concept of rhombus often creates difficulties to students. In mathematics teaching, it is necessary to carry out various activities that enable students to understand the rhombus. Activities are prepared for a dynamic geometry tool. The dynamic geometry tool helps students visualize the proof, and makes it easier to understand.

• Keywords: romb; paralelogram; dinamička geometrija; vizualizacija dokaza
• Keywords (english): rhombus; parallelogram; dynamic geometry tool
• Language: croatian
• URN:NBN: urn:nbn:hr:217:411606
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: sveučilišni magistar edukacije matematike (sveučilišni magistar edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2024-02-05 13:06:31