Analysis of tasks in competition "Mathematical Kangaroo"

U ovom radu objašnjen je pojam darovitosti te posebno matematička darovitost. Daroviti učenici sudjeluju i na dodatnoj nastavi matematike koja je u posebnom fokusu ovog rada. Velik broj učenika sudjeluje na različitim matematičkima natjecanjima za koja se pripremaju sa svojim učiteljima u sklopu dodatne nastave matematike. U Hrvatskoj se organiziraju razna matematička natjecanja, a neka od njih detaljno su opisana u ovom radu. Tema istraživanja ovog diplomskog rada je analiza zadataka u matematičkom natjecanju Klokan bez granica. Klokan bez granica međunarodno je natjecanje koje se organizira od 1980-ih godina, a u Hrvatskoj je prvi put provedeno 1999. godine. Organizira se u mnogim zemljama diljem svijeta te postoje različite kategorije raspoređene prema uzrastu učenika odnosno razredu. Cilj natjecanja je popularizacija matematike izvan školskih okvira te razvijanje interesa kod darovitih i zainteresiranih učenika. Cilj rada je analizirati zadatke u matematičkom natjecanju Klokan bez granica s obzirom na vrstu zadatka, omjer zadataka sa slikovnim prikazom i bez njega te s obzirom na kurikulumsku domenu. Na kraju rada prikazana je analiza zadataka u matematičkom natjecanju Klokan bez granica. Rezultati pokazuju da su prema aktivnosti najzastupljeniji zadatci interpretiranja. Gledano prema složenosti, najčešći su zadatci povezivanja, a kod kriterija prema kontekstu najčešće se mogu pronaći realistični zadatci. Uz većinu zadataka nalazi se i slika ili slikovni prikaz. Kurikulumska domena koja je najzastupljenija u zadatcima je domena C-Oblik i prostor.In this thesis, the concept of giftedness, especially mathematical giftedness is explained. Gifted students also participate in math enrichment program which is the special focus of this thesis. A large number of students go to various mathematical competitions for which they prepare with their teachers as a part of math enrichment program. Various mathematical competitions are organized in Croatia, and some of them are described in detail in this thesis. The research topic of this thesis is the analysis of the tasks in the mathematical competition called “Mathematical Kangaroo.” Mathematical Kangaroo is an international competition that has been organized since the 1980s, and was first held in Croatia in 1999. It is organized in many countries around the world and there are different categories allocated according to the age of the students or the class they attend. This competition aims to popularize mathematics outside the school framework, along with developing interest among gifted and interested students. The aim of this thesis is to analyze the tasks in the mathematical competition Mathematical Kangaroo according to the task type, the proportion of tasks with and without a picture or visual representation, and according to the curriculum domain. At the end of the paper, an analysis of the tasks in the mathematical competition Mathematical Kangaroo is presented. The results indicate that, in terms of activity, the most represented tasks are the interpretative ones. According to complexity, the most common are connecting tasks, and according to context, realistic tasks are most often found. Most tasks contain a picture or a visual representation. The curriculum domain that is most represented in the tasks is the domain C-Shape and Space