{"id":938,"date":"2026-08-01T12:10:44","date_gmt":"2026-08-01T12:10:44","guid":{"rendered":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/od-realne-situace-ke-geometrickemu-modelu-analyza-reseni-kontextovych-uloh-o-mnozinach-bodu-danych-vlastnosti\/"},"modified":"2026-08-01T12:10:44","modified_gmt":"2026-08-01T12:10:44","slug":"od-realne-situace-ke-geometrickemu-modelu-analyza-reseni-kontextovych-uloh-o-mnozinach-bodu-danych-vlastnosti","status":"publish","type":"post","link":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/en\/od-realne-situace-ke-geometrickemu-modelu-analyza-reseni-kontextovych-uloh-o-mnozinach-bodu-danych-vlastnosti\/","title":{"rendered":"Od re\u00e1ln\u00e9 situace ke geometrick\u00e9mu modelu: anal\u00fdza \u0159e\u0161en\u00ed kontextov\u00fdch \u00faloh o mno\u017ein\u00e1ch bod\u016f dan\u00fdch vlastnost\u00ed"},"content":{"rendered":"<p><em>Kate\u0159ina Biernatov\u00e1<\/em><br \/><small>Ostravsk\u00e1 univerzita, Ostrava<\/small><\/p>\n<p>Kontextov\u00e9 \u00falohy p\u0159edstavuj\u00ed d\u016fle\u017eitou sou\u010d\u00e1st v\u00fduky geometrie, proto\u017ee propojuj\u00ed geometrick\u00e9 poznatky s re\u00e1ln\u00fdmi situacemi. Jejich \u0159e\u0161en\u00ed v\u0161ak nevy\u017eaduje pouze porozum\u011bn\u00ed v\u00fdznamu geometrick\u00fdch pojm\u016f a vztah\u016f, ale tak\u00e9 schopnost vytvo\u0159it geometrick\u00fd model re\u00e1ln\u00e9 situace a n\u00e1sledn\u011b spr\u00e1vn\u011b interpretovat z\u00edskan\u00e9 \u0159e\u0161en\u00ed v jej\u00edm p\u016fvodn\u00edm kontextu. Tento proces odpov\u00edd\u00e1 princip\u016fm matematick\u00e9ho modelov\u00e1n\u00ed popsan\u00fdm Blumem a Lei\u00dfem (2007).<br \/>\nV kurzu Syntetick\u00e1 geometrie I pro budouc\u00ed u\u010ditele matematiky na Pedagogick\u00e9 fakult\u011b Ostravsk\u00e9 univerzity p\u0159edstavuj\u00ed mno\u017einy bod\u016f dan\u00fdch vlastnost\u00ed jedno z kl\u00ed\u010dov\u00fdch t\u00e9mat. Sou\u010d\u00e1st\u00ed v\u00fduky byl e-test v prost\u0159ed\u00ed LMS Moodle obsahuj\u00edc\u00ed sedm otev\u0159en\u00fdch kontextov\u00fdch \u00faloh zam\u011b\u0159en\u00fdch na tuto tematickou oblast. \u0158e\u0161en\u00ed \u00faloh vy\u017eadovalo p\u0159evod re\u00e1ln\u00e9 prostorov\u00e9 situace do rovinn\u00e9ho geometrick\u00e9ho modelu, identifikaci odpov\u00eddaj\u00edc\u00ed mno\u017einy bod\u016f dan\u00e9 vlastnosti a n\u00e1slednou interpretaci z\u00edskan\u00e9ho \u0159e\u0161en\u00ed v kontextu p\u016fvodn\u00ed situace.<br \/>\nOtev\u0159en\u00e9 odpov\u011bdi z\u00edskan\u00e9 b\u011bhem dvou realizac\u00ed kurzu byly zpracov\u00e1ny metodou kvalitativn\u00ed obsahov\u00e9 anal\u00fdzy zalo\u017een\u00e9 na induktivn\u00edm vytv\u00e1\u0159en\u00ed kategori\u00ed. C\u00edlem anal\u00fdzy bylo identifikovat opakuj\u00edc\u00ed se vzorce \u0159e\u0161en\u00ed kontextov\u00fdch \u00faloh a interpretovat jejich v\u00fdznam z hlediska geometrick\u00e9ho porozum\u011bn\u00ed.<br \/>\nStudie poukazuje na v\u00fdznam za\u0159azen\u00ed kontextov\u00fdch \u00faloh zalo\u017een\u00fdch na matematick\u00e9m modelov\u00e1n\u00ed geometrick\u00fdch situac\u00ed do p\u0159\u00edpravy budouc\u00edch u\u010ditel\u016f matematiky jako perspektivn\u00edho prost\u0159edku rozvoje geometrick\u00e9ho my\u0161len\u00ed.<br \/>\n(spoluautor Angelika Schmid)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kate\u0159ina Biernatov\u00e1Ostravsk\u00e1 univerzita, Ostrava Kontextov\u00e9 \u00falohy p\u0159edstavuj\u00ed d\u016fle\u017eitou sou\u010d\u00e1st v\u00fduky geometrie, proto\u017ee propojuj\u00ed geometrick\u00e9 poznatky s re\u00e1ln\u00fdmi situacemi. Jejich \u0159e\u0161en\u00ed v\u0161ak nevy\u017eaduje pouze porozum\u011bn\u00ed v\u00fdznamu geometrick\u00fdch pojm\u016f a vztah\u016f, ale tak\u00e9 schopnost vytvo\u0159it geometrick\u00fd model re\u00e1ln\u00e9 situace a n\u00e1sledn\u011b spr\u00e1vn\u011b interpretovat z\u00edskan\u00e9 \u0159e\u0161en\u00ed v jej\u00edm p\u016fvodn\u00edm kontextu. Tento proces odpov\u00edd\u00e1 princip\u016fm matematick\u00e9ho modelov\u00e1n\u00ed popsan\u00fdm Blumem [&hellip;]<\/p>\n","protected":false},"author":65,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-938","post","type-post","status-publish","format-standard","hentry","category-presentations"],"_links":{"self":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/posts\/938","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/users\/65"}],"replies":[{"embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/comments?post=938"}],"version-history":[{"count":0,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/posts\/938\/revisions"}],"wp:attachment":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/media?parent=938"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/categories?post=938"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/tags?post=938"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}