Board games in mathematics teaching

U ovom diplomskom radu prvo opisujemo razvoj društvenih igara tijekom povijesti. Prikazani su primjeri prvih igraćih ploča i komponenata, razne zanimljivosti te su uvedeni termini tipova igara. Prikazujemo povijesni razvoj modernih društvenih igara predvođenih euroigrama poput Catana, jedne od igara koja je u drugom dijelu rada odabrana kao temelj za razna otvorena pitanja koja potiču matematička istraživanja. U glavnom dijelu rada izdvajamo odabrane moderne društvene igre primjenjive u nastavi matematike: ”Backgammon”, ”City of Zombies”, ”Bohnanza”, ”Love Letter”, ”Hanabi”, ”Catan”, ”SET”. Navodimo njihova pravila i tijek igranja, a zatim analiziramo kako bi se pojedina igra ili njeni elementi mogli koristiti u radu s učenicima. U analizi navedenih igara susrećemo i opisujemo sljedeće matematičke teme: aritmetiku, osnove vjerojatnosti i kombinatorike, logičko zaključivanje.This thesis begins with the description of the development of board games throughout history. We mention examples of first game boards and components, a variety of interesting facts, and we introduce board game types. We present the historical development of modern board games led by Eurogames like Catan, one of the games that features in the second part of the paper as a basis for various open-ended questions which encourage mathematical research. In the main part of the paper, we present a selection of modern tabletop games applicable in teaching of mathematics: ”Backgammon”, ”City of Zombies”, ”Bohnanza”, ”Love Letter”, ”Hanabi”, ”Catan”, ”SET”. We state their rules and the course of play, and then analyze how a particular game or its elements could be used in working with students. In the analysis of these games we describe the following mathematical contents: arithmetics, basic probability and combinatorics, and logical reasoning