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master's thesis
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Nonstandard mathematical problems
Amanda Glavaš (2016)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics
Applied Mathematics Research Group
Cite this document

Glavaš, A. (2016). Nestandardni matematički zadatci (Master's thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:868954

Glavaš, Amanda. "Nestandardni matematički zadatci." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. https://urn.nsk.hr/urn:nbn:hr:126:868954

Glavaš, Amanda. "Nestandardni matematički zadatci." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. https://urn.nsk.hr/urn:nbn:hr:126:868954

Glavaš, A. (2016). 'Nestandardni matematički zadatci', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 15 November 2019, https://urn.nsk.hr/urn:nbn:hr:126:868954

Glavaš A. Nestandardni matematički zadatci [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2016 [cited 2019 November 15] Available at: https://urn.nsk.hr/urn:nbn:hr:126:868954

A. Glavaš, "Nestandardni matematički zadatci", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:126:868954

Metadata
TitleNestandardni matematički zadatci
Title (english)Nonstandard mathematical problems
AuthorAmanda Glavaš
MentorDarija Marković (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics)
(Applied Mathematics Research Group)
Osijek
Defense date and country2016-10, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
Na početku ovog rada definiraju se nestandardni matematički zadatci, iznose tipovi zadataka te opisuju etape procesa rješavanja zadataka s korisnim heurističkim i usmjerujućim pitanjima i uputama za uspješno svladavanje svake od etapa. Nadalje, dan je niz riješenih nestandardnih zadataka (vezanih uz problem rješavanja jednadžbi i nejednadžbi) te standardnih zadataka korištenjem nestandardnih metoda i korištenjem svojstava funkcija (monotonost, parnost i periodičnost). Na kraju rada napravljeno je istraživanje o uspješnosti studenata u rješavanju nestandardnih zadataka, sklonost korištenju nestandardnih metoda u standardnim zadatcima te sklonost rješavanju nestandardnih zadataka.
Abstract (english)
In the beginning of these paper, nonstandard mathematical problems are defined and types of tasks are listed. Moreover, stages of problem solving process are described, along with favorable heuristic and orienting questions or guidelines on how to successfully master each of the stages. Further, the series of solved nonstandard problems are given (connected to the problem of solving equations and inequalities), standard problems, resolved by using nonstandard methods and by using function properties (monotonic function properties, even and odd function properties, periodic function properties). In the end, paper contains research conducted on efficacy of students on nonstandard problem solving, tendency to use nonstandard methods on standard problems and inclination for nonstandard problem solving.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:868954
Study programmeTitle: Mathematics and Computer Science
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra edukacije matematike i informatike (magistar/magistra edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2016-11-02 07:03:27