{"id":1727,"date":"2025-09-30T20:48:48","date_gmt":"2025-09-30T18:48:48","guid":{"rendered":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/2025\/09\/30\/moznosti-vyuziti-digitalnich-technologii-pri-vyuce-geometrickych-zobrazeni-v-prostoru\/"},"modified":"2025-09-30T20:48:48","modified_gmt":"2025-09-30T18:48:48","slug":"moznosti-vyuziti-digitalnich-technologii-pri-vyuce-geometrickych-zobrazeni-v-prostoru","status":"publish","type":"post","link":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/2025\/09\/30\/moznosti-vyuziti-digitalnich-technologii-pri-vyuce-geometrickych-zobrazeni-v-prostoru\/","title":{"rendered":"Mo\u017enosti vyu\u017eit\u00ed digit\u00e1ln\u00edch technologi\u00ed p\u0159i v\u00fduce geometrick\u00fdch zobrazen\u00ed v prostoru"},"content":{"rendered":"<p><em>Petra Pirklov\u00e1<\/em><br \/><small>Technick\u00e1 univerzita v Liberci, Liberec<\/small><\/p>\n<p>V\u00fduka prostorov\u00fdch geometrick\u00fdch zobrazen\u00ed nen\u00ed obsa\u017eena v RVP Z\u0160 ani S\u0160. Nicm\u00e9n\u011b b\u011bhem n\u011bkolikalet\u00e9 v\u00fduky budouc\u00edch u\u010ditel\u016f a u\u010ditelek 1. stupn\u011b bylo zji\u0161t\u011bno, \u017ee tito studenti, a nejen oni, v r\u00e1mci v\u00fdukov\u00fdch aktivit zam\u011b\u0148uj\u00ed geometrick\u00e1 zobrazen\u00ed v rovin\u011b a geometrick\u00e1 zobrazen\u00ed v prostoru. Jednotliv\u00e9 typy zobrazen\u00ed tak\u00e9 nespr\u00e1vn\u011b pou\u017e\u00edvaj\u00ed. Na\u0161\u00edm c\u00edlem proto bylo, sezn\u00e1mit v\u00fd\u0161e zm\u00edn\u011bn\u00e9 studenty s prostorov\u00fdmi geometrick\u00fdmi zobrazen\u00edmi a jejich vlastnostmi, aby je s rovinn\u00fdmi zobrazen\u00edmi nezam\u011b\u0148ovali. V\u00fduka geometrick\u00fdch zobrazen\u00ed v prostoru, v\u0161ak klade velk\u00e9 n\u00e1roky na prostorovou p\u0159edstavivost student\u016f, kter\u00e1 u nich \u010dasto nen\u00ed dostate\u010dn\u011b vyvinuta. Proto jsme se sna\u017eili zapojit do v\u00fduky t\u011bchto zobrazen\u00ed nejen r\u016fzn\u00e9 pom\u016fcky, ale tak\u00e9 modern\u00ed digit\u00e1ln\u00ed technologie nap\u0159. program GeoGebra, 3D tisk \u010di AI. V p\u0159\u00edsp\u011bvku budou rovn\u011b\u017e p\u0159edstaveny probl\u00e9my, kter\u00e9 p\u0159i v\u00fduce t\u011bchto zobrazen\u00ed vyvst\u00e1vaj\u00ed a jak lze pomoc\u00ed vhodn\u00fdch konkr\u00e9tn\u00edch aktivit a pom\u016fcek tyto probl\u00e9my \u0159e\u0161it. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Petra Pirklov\u00e1Technick\u00e1 univerzita v Liberci, Liberec V\u00fduka prostorov\u00fdch geometrick\u00fdch zobrazen\u00ed nen\u00ed obsa\u017eena v RVP Z\u0160 ani S\u0160. Nicm\u00e9n\u011b b\u011bhem n\u011bkolikalet\u00e9 v\u00fduky budouc\u00edch u\u010ditel\u016f a u\u010ditelek 1. stupn\u011b bylo zji\u0161t\u011bno, \u017ee tito studenti, a nejen oni, v r\u00e1mci v\u00fdukov\u00fdch aktivit zam\u011b\u0148uj\u00ed geometrick\u00e1 zobrazen\u00ed v rovin\u011b a geometrick\u00e1 zobrazen\u00ed v prostoru. Jednotliv\u00e9 typy zobrazen\u00ed tak\u00e9 nespr\u00e1vn\u011b pou\u017e\u00edvaj\u00ed. &hellip; <a href=\"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/2025\/09\/30\/moznosti-vyuziti-digitalnich-technologii-pri-vyuce-geometrickych-zobrazeni-v-prostoru\/\" class=\"more-link\">Pokra\u010dovat ve \u010dten\u00ed<span class=\"screen-reader-text\"> &#8222;Mo\u017enosti vyu\u017eit\u00ed digit\u00e1ln\u00edch technologi\u00ed p\u0159i v\u00fduce geometrick\u00fdch zobrazen\u00ed v prostoru&#8220;<\/span><\/a><\/p>\n","protected":false},"author":85,"featured_media":0,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-1727","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\/1727","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\/85"}],"replies":[{"embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/comments?post=1727"}],"version-history":[{"count":0,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/posts\/1727\/revisions"}],"wp:attachment":[{"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/media?parent=1727"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/categories?post=1727"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/tags?post=1727"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}