George Polya - doprinos matematičkoj edukaciji

master's thesis

• Author: Denis Vrdoljak
• Mentor: Mirko Polonijo (mentor)
• Committee member: Mirko Polonijo (predsjednik povjerenstva)
• Committee member: Mirko Primc (član povjerenstva)
• Committee member: Franka Miriam Bruckler (član povjerenstva)
• Committee member: Dijana Ilišević (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2015-09-23, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Diplomski rad "George Polya - doprinos matematičkoj edukaciji" započinje biografijom Georgea Polye, te se nastavlja kratkim prikazom njegovih triju najznačajnijih djela: "Kako riješiti matematički zadatak", "Matematičko otkriće" i "Matematika i uvjerljivo zaključivanje". U nastavku se opisuje kakvo treba biti poučavanje nastave matematike, te u kakvom su odnosu učenje i poučavanje. Drugi dio diplomskog rada, "Kako riješiti matematički zadatak", veže se uz listu prijedloga i sugestija za rješavanje matematičkih problema. U trećem dijelu "Znanstveno - istraživački rad na razini srednje škole" navode se razlozi zbog čega su znanstvena metoda, indukcija i otkriće važni u nastavi matematike. Slijede dva primjera u kojima se vidi primjena znanstvene metode i matematičke indukcije.

Abstract (english)

Thesis "George Polya - contribution to mathematical education" begins with biography of George Polya, and continues with a short overview of his three major works: "How to solve it", "Mathematical discovery" and "Mathematics and plausible reasoning". The following describes what should be taught in Mathematics classes, and a relation between learning and teaching. The second part of thesis, "How to solve a mathematical problem", is associated with a list of proposals and suggestions on solving mathematical problems. In the third part "Scientific research work at secondary school level" there are reasons given why the scientific method, induction and discovery are important in mathematics. In the end, there are two examples given to illustrate the application of scientific methods and mathematical induction.

• Keywords: George Polya; matematička edukacija; rješavanje matematičkih problema; znanstvena metoda; indukcija; otkriće
• Keywords (english): George Polya; mathematics teaching; solving mathematical problems; scientific method; induction; discovery
• Language: croatian
• URN:NBN: urn:nbn:hr:217:618968
• 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: 2019-02-19 16:11:07