{"id":1717,"date":"2025-09-16T17:26:13","date_gmt":"2025-09-16T15:26:13","guid":{"rendered":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/2025\/09\/16\/moderni-digitalni-nastroje-ve-vyuce-matematiky-geogebra-wolfram-alpha-a-chatgpt\/"},"modified":"2025-09-16T17:26:13","modified_gmt":"2025-09-16T15:26:13","slug":"moderni-digitalni-nastroje-ve-vyuce-matematiky-geogebra-wolfram-alpha-a-chatgpt","status":"publish","type":"post","link":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/2025\/09\/16\/moderni-digitalni-nastroje-ve-vyuce-matematiky-geogebra-wolfram-alpha-a-chatgpt\/","title":{"rendered":"Modern\u00ed digit\u00e1ln\u00ed n\u00e1stroje ve v\u00fduce matematiky: GeoGebra, Wolfram Alpha a ChatGPT"},"content":{"rendered":"<p><em>Tom\u00e1\u0161 Riemel<\/em><br \/><small>V\u0160B \u2013 Technick\u00e1 univerzita Ostrava, Ostrava<\/small><\/p>\n<p>P\u0159\u00edsp\u011bvek se zam\u011b\u0159uje na mo\u017enosti vyu\u017eit\u00ed modern\u00edch digit\u00e1ln\u00edch n\u00e1stroj\u016f p\u0159i v\u00fduce matematiky na st\u0159edn\u00edch a vysok\u00fdch \u0161kol\u00e1ch a ukazuje, jak mohou tyto technologie obohatit tradi\u010dn\u00ed vyu\u010dovac\u00ed metody. Budou p\u0159edstaveny konkr\u00e9tn\u00ed praktick\u00e9 uk\u00e1zky pr\u00e1ce s programem GeoGebra, kter\u00fd umo\u017e\u0148uje dynamicky vizualizovat pojmy analytick\u00e9 geometrie, vytv\u00e1\u0159et interaktivn\u00ed konstrukce a t\u00edm podporovat aktivn\u00ed zapojen\u00ed \u017e\u00e1k\u016f i student\u016f do objevov\u00e1n\u00ed a formulov\u00e1n\u00ed matematick\u00fdch souvislost\u00ed. Zvl\u00e1\u0161tn\u00ed pozornost bude v\u011bnov\u00e1na tak\u00e9 aplikaci Wolfram Alpha, kter\u00e1 nab\u00edz\u00ed rychl\u00e9 \u0159e\u0161en\u00ed \u00faloh z oblasti matematick\u00e9 anal\u00fdzy, nap\u0159\u00edklad p\u0159i v\u00fdpo\u010dtech derivac\u00ed, pr\u00e1ci s funkcemi \u010di p\u0159i zkoum\u00e1n\u00ed slo\u017eit\u011bj\u0161\u00edch matematick\u00fdch vztah\u016f. Tento n\u00e1stroj, vyu\u017e\u00edvaj\u00edc\u00ed prvky um\u011bl\u00e9 inteligence, m\u016f\u017ee slou\u017eit jak pro okam\u017eitou kontrolu v\u00fdsledk\u016f, tak pro hlub\u0161\u00ed porozum\u011bn\u00ed postup\u016fm. V z\u00e1v\u011bre\u010dn\u00e9 \u010d\u00e1sti p\u0159\u00edsp\u011bvku se zam\u011b\u0159\u00edme na vyu\u017eit\u00ed jazykov\u00e9ho modelu ChatGPT jako asistenta p\u0159i u\u010den\u00ed matematiky. Diskutov\u00e1ny budou strategie, jak efektivn\u011b formulovat ot\u00e1zky a jak kriticky posuzovat odpov\u011bdi, kter\u00e9 nemus\u00ed b\u00fdt v\u017edy zcela p\u0159esn\u00e9. Reflektov\u00e1ny budou tak\u00e9 praktick\u00e9 zku\u0161enosti z re\u00e1ln\u00e9 v\u00fduky, je\u017e ukazuj\u00ed na p\u0159\u00ednosy i limity t\u011bchto digit\u00e1ln\u00edch technologi\u00ed v procesu vzd\u011bl\u00e1v\u00e1n\u00ed.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tom\u00e1\u0161 RiemelV\u0160B \u2013 Technick\u00e1 univerzita Ostrava, Ostrava P\u0159\u00edsp\u011bvek se zam\u011b\u0159uje na mo\u017enosti vyu\u017eit\u00ed modern\u00edch digit\u00e1ln\u00edch n\u00e1stroj\u016f p\u0159i v\u00fduce matematiky na st\u0159edn\u00edch a vysok\u00fdch \u0161kol\u00e1ch a ukazuje, jak mohou tyto technologie obohatit tradi\u010dn\u00ed vyu\u010dovac\u00ed metody. Budou p\u0159edstaveny konkr\u00e9tn\u00ed praktick\u00e9 uk\u00e1zky pr\u00e1ce s programem GeoGebra, kter\u00fd umo\u017e\u0148uje dynamicky vizualizovat pojmy analytick\u00e9 geometrie, vytv\u00e1\u0159et interaktivn\u00ed konstrukce a t\u00edm &hellip; <a href=\"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/2025\/09\/16\/moderni-digitalni-nastroje-ve-vyuce-matematiky-geogebra-wolfram-alpha-a-chatgpt\/\" class=\"more-link\">Pokra\u010dovat ve \u010dten\u00ed<span class=\"screen-reader-text\"> &#8222;Modern\u00ed digit\u00e1ln\u00ed n\u00e1stroje ve v\u00fduce matematiky: GeoGebra, Wolfram Alpha a ChatGPT&#8220;<\/span><\/a><\/p>\n","protected":false},"author":50,"featured_media":0,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-1717","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\/1717","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\/50"}],"replies":[{"embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/comments?post=1717"}],"version-history":[{"count":0,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/posts\/1717\/revisions"}],"wp:attachment":[{"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/media?parent=1717"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/categories?post=1717"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~upvm\/2025\/wp-json\/wp\/v2\/tags?post=1717"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}