Vybrané problémy z teorie grafů ve výuce na střední škole

Abstract

Nazev prace: Vybrand problemy z tcorie grafii ve vyucc na stfedni skole Autor: Lukas Jirovsky Katedra: Katedra didaktiky malematiky Vedouci bakalafske prace: RNDr. Pavla Pavlfkova, Ph.D. E-mail vedouciho: pavla.pavlikova@mff.cuni.cz Abstrakt: Klicova slova: Prace pfedstavuje ucebni text zamefeny na problematiku teorie graiu v podobe webovc aplikacc pouzitclny napf. pro matematicky seminar na stfedni skole. Poukazuje na siroke spektrum aplikaci nejen v matcmatice, ale i ostatnich pfcdmetech (fyzika, chemie, geografie,...) a poskytuje matematicky zaklad pro teorii grafu. Soucasti prace je i fada pffkladu na procvicenf vhodnych pro studenty stfednfch skol. teorie grafu, kostra grafu, barvcnf mapy, nejkratsf ccsta v grafu Title: Selected problems from theory of graphs at high school leaching Author: Lukas Jirovsky Department: Department of Didactics of maihematics Supervisor: RNDr. Pavla Pavlikova, Ph.D. Supervisor's e-mail adress: pavla.pavlikova@mff.cuni.cz Abstract: Keywords: The educational website describing the wide usage of graph theory at high school teaching. It adverts to many possible applications in non-mathematical subjects (physical science, chemistry, geography...). The work also contains many exercises and basics of graph theory. Graph Theory, Spanning Tree, Map Colouring, Shortest Path Tree.

Nazev prace: Vybrand problemy z tcorie grafii ve vyucc na stfedni skole Autor: Lukas Jirovsky Katedra: Katedra didaktiky malematiky Vedouci bakalafske prace: RNDr. Pavla Pavlfkova, Ph.D. E-mail vedouciho: pavla.pavlikova@mff.cuni.cz Abstrakt: Klicova slova: Prace pfedstavuje ucebni text zamefeny na problematiku teorie graiu v podobe webovc aplikacc pouzitclny napf. pro matematicky seminar na stfedni skole. Poukazuje na siroke spektrum aplikaci nejen v matcmatice, ale i ostatnich pfcdmetech (fyzika, chemie, geografie,...) a poskytuje matematicky zaklad pro teorii grafu. Soucasti prace je i fada pffkladu na procvicenf vhodnych pro studenty stfednfch skol. teorie grafu, kostra grafu, barvcnf mapy, nejkratsf ccsta v grafu Title: Selected problems from theory of graphs at high school leaching Author: Lukas Jirovsky Department: Department of Didactics of maihematics Supervisor: RNDr. Pavla Pavlikova, Ph.D. Supervisor's e-mail adress: pavla.pavlikova@mff.cuni.cz Abstract: Keywords: The educational website describing the wide usage of graph theory at high school teaching. It adverts to many possible applications in non-mathematical subjects (physical science, chemistry, geography...). The work also contains many exercises and basics of graph theory. Graph Theory, Spanning Tree, Map Colouring, Shortest Path Tree.