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master's thesis
Strategije rješavanja geometrijskih problemskih zadataka u nastavi matematike
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:133561
Mišanec, Dario
University of Zagreb
Faculty of Science
Department of Mathematics

Cite this document

Mišanec, D. (2015). Strategije rješavanja geometrijskih problemskih zadataka u nastavi matematike (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:133561

Mišanec, Dario. "Strategije rješavanja geometrijskih problemskih zadataka u nastavi matematike." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:133561

Mišanec, Dario. "Strategije rješavanja geometrijskih problemskih zadataka u nastavi matematike." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:133561

Mišanec, D. (2015). 'Strategije rješavanja geometrijskih problemskih zadataka u nastavi matematike', Master's thesis, University of Zagreb, Faculty of Science, accessed 18 April 2024, https://urn.nsk.hr/urn:nbn:hr:217:133561

Mišanec D. Strategije rješavanja geometrijskih problemskih zadataka u nastavi matematike [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 April 18] Available at: https://urn.nsk.hr/urn:nbn:hr:217:133561

D. Mišanec, "Strategije rješavanja geometrijskih problemskih zadataka u nastavi matematike", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:133561

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Metadata
TitleStrategije rješavanja geometrijskih problemskih zadataka u nastavi matematike
AuthorDario Mišanec
MentorŽeljka Milin-Šipuš (mentor)
Committee memberŽeljka Milin-Šipuš (predsjednik povjerenstva)
Committee memberMea Bombardelli (član povjerenstva)
Committee memberSaša Singer (član povjerenstva)
Committee memberDragutin Svrtan (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-02-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu proučavaju se strategije rješavanja problemskih zadataka u nastavi matematike, s posebnim naglaskom na geometrijske probleme. Rad je podijeljen na pet poglavlja, a svako poglavlje se sastoji od nekoliko potpoglavlja. U prvom poglavlju se bavimo matematičkim problemima, heuristikom te problemskom i heurističkom nastavom. U drugom poglavlju istražujemo kako neki od obrazovnih dokumenata (PISA i NOK) razmatraju pitanja postavljanja i rješavanja problema te primjenu tehnologije u nastavi matematike. U trećem poglavlju proučavamo doprinos matematičara i matematičkog edukatora Georga Pólye razvoju metodike rješavanja problemskih zadataka. U tom poglavlju također analiziramo i četiri Pólyina koraka, tj. temeljne etape pri rješavanju svakog problema. U četvrtom poglavlju upoznajemo razne strategije kojima se rješavaju problemski zadatci. Nadalje, utvrđujemo važnost i učinkovitost poznavanja tih strategija tijekom postupka rješavanja. U zadnjem, petom poglavlju rješavamo geometrijske probleme pomoću opisanih metoda i predlažemo moguće načine njihove implementacije, uz odgovarajuću tehnologiju, u nastavi matematike.
Abstract (english)
This thesis examines the strategies of problem solving in mathematics education, with special emphasis on geometric problems. Thesis is divided into five chapters, and each chapter consists of several sections. In the first chapter we deal with mathematical problems, heuristics, problem-based and heuristic-based learning. In the second chapter we investigate how the educational documents (PISA and NOK) deal with construction and solving of mathematical problems and with the application of technology in mathematics education. In the third chapter we study the important role of mathematician and mathematical educator George Pólya in development of methodology of problem solving. In this chapter we also find Pólya’s four steps, i.e. four basic principles of problem solving. In the fourth chapter we introduce various problem solving strategies. Furthermore, we determine the importance and effectiveness of knowing these strategies while solving problems. In the final, fifth chapter we solve geometric problems using the described methods and suggest possible ways of their implementation, with appropriate technology, in mathematics education.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:133561
Study programmeTitle: 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 resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
RepositoryRepository of the Faculty of Science
Created on2019-01-25 11:23:05

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