{"id":1704,"date":"2025-09-11T09:48:34","date_gmt":"2025-09-11T07:48:34","guid":{"rendered":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/2025\/09\/11\/prakticke-aktivity-z-teorie-grafu-s-vyuzitim-webove-aplikace-graphonline\/"},"modified":"2025-09-11T09:48:34","modified_gmt":"2025-09-11T07:48:34","slug":"prakticke-aktivity-z-teorie-grafu-s-vyuzitim-webove-aplikace-graphonline","status":"publish","type":"post","link":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/2025\/09\/11\/prakticke-aktivity-z-teorie-grafu-s-vyuzitim-webove-aplikace-graphonline\/","title":{"rendered":"Praktick\u00e9 aktivity z teorie graf\u016f s vyu\u017eit\u00edm webov\u00e9 aplikace GraphOnline"},"content":{"rendered":"<p><em>Al\u017eb\u011bta Kola\u0159\u00edkov\u00e1<\/em><br \/><small>Katedra matematiky, Pedagogick\u00e1 fakulta Univerzity Palack\u00e9ho v Olomouci, Olomouc<\/small><\/p>\n<p>P\u0159\u00edsp\u011bvek se zam\u011b\u0159uje na mo\u017enosti v\u00fduky teorie graf\u016f na 2. stupni z\u00e1kladn\u00ed \u0161koly s vyu\u017eit\u00edm digit\u00e1ln\u00edch n\u00e1stroj\u016f. Teorie graf\u016f, p\u0159esto\u017ee nen\u00ed v b\u011b\u017en\u00e9 \u0161koln\u00ed praxi \u010dasto zastoupena, nab\u00edz\u00ed \u0161irok\u00fd prostor pro rozvoj logick\u00e9ho uva\u017eov\u00e1n\u00ed, algoritmick\u00e9ho my\u0161len\u00ed a schopnosti \u0159e\u0161it probl\u00e9my propojen\u00e9 s ka\u017edodenn\u00edm \u017eivotem. Hlavn\u00ed \u010d\u00e1st p\u0159\u00edsp\u011bvku bude v\u011bnov\u00e1na pr\u00e1ci s webovou aplikac\u00ed GraphOnline, kter\u00e1 umo\u017e\u0148uje intuitivn\u00ed vytv\u00e1\u0159en\u00ed, vizualizaci a anal\u00fdzu graf\u016f. Budou p\u0159edstaveny aktivity, kter\u00e9 lze vyu\u017e\u00edt p\u0159\u00edmo ve v\u00fduce, nap\u0159\u00edklad p\u0159evod situace z re\u00e1ln\u00e9ho sv\u011bta do podoby grafu, objevov\u00e1n\u00ed algoritm\u016f \u017e\u00e1ky \u010di \u00faprava a tvorba grafu tak, aby spl\u0148oval zadan\u00e9 podm\u00ednky. Uveden\u00e9 \u00falohy budou ilustrovat, jak lze s pomoc\u00ed digit\u00e1ln\u00edho prost\u0159ed\u00ed propojit abstraktn\u00ed matematick\u00e9 pojmy s praktick\u00fdmi \u00falohami a jak lze v\u00e9st \u017e\u00e1ky k objevov\u00e1n\u00ed souvislost\u00ed mezi matematikou a realitou. V z\u00e1v\u011bru budou kr\u00e1tce zm\u00edn\u011bny i dal\u0161\u00ed dostupn\u00e9 aplikace a online zdroje vhodn\u00e9 pro podporu v\u00fduky teorie graf\u016f, kter\u00e9 mohou u\u010ditel\u016fm nab\u00eddnout roz\u0161\u00ed\u0159en\u00ed mo\u017enost\u00ed a inspiraci pro vlastn\u00ed pr\u00e1ci ve t\u0159\u00edd\u011b.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Al\u017eb\u011bta Kola\u0159\u00edkov\u00e1Katedra matematiky, Pedagogick\u00e1 fakulta Univerzity Palack\u00e9ho v Olomouci, Olomouc P\u0159\u00edsp\u011bvek se zam\u011b\u0159uje na mo\u017enosti v\u00fduky teorie graf\u016f na 2. stupni z\u00e1kladn\u00ed \u0161koly s vyu\u017eit\u00edm digit\u00e1ln\u00edch n\u00e1stroj\u016f. Teorie graf\u016f, p\u0159esto\u017ee nen\u00ed v b\u011b\u017en\u00e9 \u0161koln\u00ed praxi \u010dasto zastoupena, nab\u00edz\u00ed \u0161irok\u00fd prostor pro rozvoj logick\u00e9ho uva\u017eov\u00e1n\u00ed, algoritmick\u00e9ho my\u0161len\u00ed a schopnosti \u0159e\u0161it probl\u00e9my propojen\u00e9 s ka\u017edodenn\u00edm \u017eivotem. Hlavn\u00ed &hellip; <a href=\"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/2025\/09\/11\/prakticke-aktivity-z-teorie-grafu-s-vyuzitim-webove-aplikace-graphonline\/\" class=\"more-link\">Pokra\u010dovat ve \u010dten\u00ed<span class=\"screen-reader-text\"> &#8222;Praktick\u00e9 aktivity z teorie graf\u016f s vyu\u017eit\u00edm webov\u00e9 aplikace GraphOnline&#8220;<\/span><\/a><\/p>\n","protected":false},"author":72,"featured_media":0,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-1704","post","type-post","status-publish","format-standard","hentry","category-prispevky-ucastniku"],"_links":{"self":[{"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/posts\/1704","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/users\/72"}],"replies":[{"embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/comments?post=1704"}],"version-history":[{"count":0,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/posts\/1704\/revisions"}],"wp:attachment":[{"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/media?parent=1704"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/categories?post=1704"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/tags?post=1704"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}