| Title | Nestandardni matematički zadatci |
| Author | Amanda 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. |
| Keywords | nonstandard problems nonstandard methods monotic functions even and odd functions periodic functions success in solving nonstandard mathematical problems. |
| Parallel title (English) | Nonstandard mathematical problems |
| Granter | Josip Juraj Strossmayer University of Osijek
Department of Mathematics |
| Lower level organizational units | Chair of Applied Mathematics
Applied Mathematics Research Group |
| Place | Osijek |
| State | Croatia |
| Scientific field, discipline, subdiscipline | NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
|
| Study programme type | university |
| Study level | integrated undergraduate and graduate |
| Study programme | Mathematics and Computer Science |
| Academic title abbreviation | mag. educ. math. et inf. |
| Genre | master's thesis |
| Language | Croatian |
| Defense date | 2016-10 |
| 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 type | text |
| Access condition | Open access |
| Terms of use |  |
| URN:NBN | https://urn.nsk.hr/urn:nbn:hr:126:868954 |
