{"id":1713,"date":"2025-09-16T00:16:51","date_gmt":"2025-09-15T22:16:51","guid":{"rendered":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/2025\/09\/16\/od-digitalni-simulace-k-odvalovani-3d-tisteneho-fyzickeho-modelu\/"},"modified":"2025-09-16T00:16:51","modified_gmt":"2025-09-15T22:16:51","slug":"od-digitalni-simulace-k-odvalovani-3d-tisteneho-fyzickeho-modelu","status":"publish","type":"post","link":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/2025\/09\/16\/od-digitalni-simulace-k-odvalovani-3d-tisteneho-fyzickeho-modelu\/","title":{"rendered":"Od digit\u00e1ln\u00ed simulace k odvalov\u00e1n\u00ed 3D ti\u0161t\u011bn\u00e9ho fyzick\u00e9ho modelu"},"content":{"rendered":"<p><em>Daniela B\u00edmov\u00e1<\/em><br \/><small>Technick\u00e1 univerzita v Liberci, Fakulta p\u0159\u00edrodov\u011bdn\u011b-humanitn\u00ed a pedagogick\u00e1, Katedra matematiky, Liberec 1<\/small><\/p>\n<p>Jak motivovat \u017e\u00e1ky k pochopen\u00ed geometrick\u00e9ho jevu, jak\u00fdm m\u016f\u017ee b\u00fdt nap\u0159. odvalov\u00e1n\u00ed t\u011bles? V tomto workshopu si uk\u00e1\u017eeme, jak lze propojit 3D ti\u0161t\u011bn\u00e9 fyzick\u00e9 modely s digit\u00e1ln\u00edmi simulacemi vytvo\u0159en\u00fdmi v prost\u0159ed\u00ed softwaru GeoGebra p\u0159i \u0159e\u0161en\u00ed \u00faloh zam\u011b\u0159en\u00fdch na odvalov\u00e1n\u00ed t\u011bles. \u00da\u010dastn\u00edci se sezn\u00e1m\u00ed s mo\u017enostmi dynamick\u00fdch vizualizac\u00ed v GeoGeb\u0159e (nap\u0159. odvalov\u00e1n\u00ed krychle \u010di kv\u00e1dru po p\u0159edem stanoven\u00e9 trase, zobrazen\u00ed odvaluj\u00edc\u00ed se hrany krychle), kter\u00e9 umo\u017e\u0148uj\u00ed pozorovat postupn\u00fd proces odvalov\u00e1n\u00ed, ale i zn\u00e1zor\u0148ov\u00e1n\u00ed obtisk\u016f \u010di vykreslov\u00e1n\u00ed v\u00fdsledn\u00fdch ploch. N\u00e1sledn\u011b si vyzkou\u0161\u00ed pr\u00e1ci s 3D ti\u0161t\u011bn\u00fdmi fyzick\u00fdmi modely, jejich\u017e manipulace v rukou poskytuje jin\u00fd, hmatateln\u00fd pohled na tot\u00e9\u017e t\u00e9ma.<br \/>\nSpole\u010dn\u011b budeme hledat odpov\u011bdi na ot\u00e1zky:<br \/>\n\u2022\tJak\u00fd je rozd\u00edl mezi digit\u00e1ln\u00ed a fyzickou reprezentac\u00ed p\u0159i \u0159e\u0161en\u00ed \u00faloh?<br \/>\n\u2022\tKdy je vhodn\u011bj\u0161\u00ed pou\u017e\u00edt po\u010d\u00edta\u010dovou simulaci a kdy 3D ti\u0161t\u011bn\u00fd fyzick\u00fd model?<br \/>\n\u2022\tJak ob\u011b formy propojit, aby se co nejv\u00edce rozv\u00edjely prostorov\u00e1 p\u0159edstavivost a porozum\u011bn\u00ed geometrick\u00fdm souvislostem?<br \/>\nWorkshop je koncipov\u00e1n prakticky \u2013 \u00fa\u010dastn\u00edci si sami vyzkou\u0161\u00ed vy\u0159e\u0161it v digit\u00e1ln\u00edm prost\u0159ed\u00ed p\u0159edp\u0159ipraven\u00e9 \u00falohy zam\u011b\u0159en\u00e9 na odvalov\u00e1n\u00ed t\u011bles, vytvo\u0159\u00ed jednoduch\u00fd virtu\u00e1ln\u00ed 3D model v GeoGeb\u0159e a vyzkou\u0161\u00ed si pr\u00e1ci s p\u0159ipraven\u00fdmi 3D ti\u0161t\u011bn\u00fdmi fyzick\u00fdmi modely. Z\u00edskaj\u00ed tak inspiraci, jak obohatit v\u00fduku geometrie o atraktivn\u00ed prvky, kter\u00e9 propojuj\u00ed vyu\u017eit\u00ed digit\u00e1ln\u00edch technologi\u00ed s re\u00e1lnou zku\u0161enost\u00ed spojenou s manipulativn\u00edmi dovednostmi.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Daniela B\u00edmov\u00e1Technick\u00e1 univerzita v Liberci, Fakulta p\u0159\u00edrodov\u011bdn\u011b-humanitn\u00ed a pedagogick\u00e1, Katedra matematiky, Liberec 1 Jak motivovat \u017e\u00e1ky k pochopen\u00ed geometrick\u00e9ho jevu, jak\u00fdm m\u016f\u017ee b\u00fdt nap\u0159. odvalov\u00e1n\u00ed t\u011bles? V tomto workshopu si uk\u00e1\u017eeme, jak lze propojit 3D ti\u0161t\u011bn\u00e9 fyzick\u00e9 modely s digit\u00e1ln\u00edmi simulacemi vytvo\u0159en\u00fdmi v prost\u0159ed\u00ed softwaru GeoGebra p\u0159i \u0159e\u0161en\u00ed \u00faloh zam\u011b\u0159en\u00fdch na odvalov\u00e1n\u00ed t\u011bles. \u00da\u010dastn\u00edci se &hellip; <a href=\"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/2025\/09\/16\/od-digitalni-simulace-k-odvalovani-3d-tisteneho-fyzickeho-modelu\/\" class=\"more-link\">Pokra\u010dovat ve \u010dten\u00ed<span class=\"screen-reader-text\"> &#8222;Od digit\u00e1ln\u00ed simulace k odvalov\u00e1n\u00ed 3D ti\u0161t\u011bn\u00e9ho fyzick\u00e9ho modelu&#8220;<\/span><\/a><\/p>\n","protected":false},"author":82,"featured_media":0,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-1713","post","type-post","status-publish","format-standard","hentry","category-workshopy"],"_links":{"self":[{"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/posts\/1713","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\/82"}],"replies":[{"embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/comments?post=1713"}],"version-history":[{"count":0,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/posts\/1713\/revisions"}],"wp:attachment":[{"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/media?parent=1713"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/categories?post=1713"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/tags?post=1713"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}