Neke strategije rješavanja matematičkih problema

master's thesis

• Title (english): Some strategies for solving mathematical problems
• Author: Mia Gunjina
• Mentor: Ljiljana Arambašić (mentor)
• Committee member: Ljiljana Arambašić (predsjednik povjerenstva)
• Committee member: Aleksandra Čižmešija (član povjerenstva)
• Committee member: Ivica Nakić (član povjerenstva)
• Committee member: Franka Miriam Brückler (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2021-12-02, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Rješavanjem matematičkih problema, to jest matematičkih zadataka koje ne možemo riješiti primjenom unaprijed poznatog algoritma, razvija se učenička kreativnost i potiče njihova motivacija za učenjem matematike. Da bi učenici uspješno rješavali matematičke probleme, osim što trebaju ustrajati u pokušajima njihovog rješavanja, trebaju upoznati i različite strategije rješavanja. U ovom radu opisali smo dvije takve strategije: Dirichletov princip i bojanje ili popločavanje.

Abstract (english)

Solving mathematical problems, i. e. mathematical assignments which we cannot solve by applying a preknown algorithm, develops students’ creativity and stimulates their motivation to study mathematics. In order for students to successfully solve mathematical problems, not only that they should be persistent while trying to solve them, but they should also familiarize themselves with different solving strategies. In this paper we have described two such strategies: Pigeonhole principle and coloring or tiling.

• Keywords: učenička kreativnost; Dirichletov princip; bojanje ili popločavanje
• Keywords (english): students' creativity; pigeonhole principle; painting or tiling
• Language: croatian
• URN:NBN: urn:nbn:hr:217:634438
• 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: 2021-12-14 13:26:19