master's thesis
Nonstandard mathematical problems

Amanda Glavaš (2016)
Metadata
TitleNestandardni matematički zadatci
AuthorAmanda Glavaš
Mentor(s)Darija Marković (thesis advisor)
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.
Keywordsnonstandard problems nonstandard methods monotic functions even and odd functions periodic functions success in solving nonstandard mathematical problems.
Parallel title (English)Nonstandard mathematical problems
GranterSveučilište Josipa Jurja Strossmayera u Osijeku
Odjel za matematiku
Lower level organizational unitsZavod za primijenjenu matematiku
Katedra za primijenjenu matematiku
PlaceOsijek
StateCroatia
Scientific field, discipline, subdisciplineNATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Study programme typeuniversity
Study levelintegrated undergraduate and graduate
Study programmeMathematics and Computer Science
Academic title abbreviationmag. educ. math. et inf.
Genremaster's thesis
Language Croatian
Defense date2016-10
Parallel 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.
Parallel keywords (Croatian)nestandardni zadatci nestandardne metode monotnost parnost periodiˇcnost uspjeˇsnost rjeˇsavanja nestandardnih zadataka.
Resource typetext
Access conditionOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
URN:NBNhttps://urn.nsk.hr/urn:nbn:hr:126:868954
CommitterMirna Šušak Lukačević