{"id":939,"date":"2026-08-01T17:54:31","date_gmt":"2026-08-01T17:54:31","guid":{"rendered":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/skumanie-osovej-sumernosti-pomocou-3d-pera-v-badatelsky-orientovanom-vyucovani\/"},"modified":"2026-08-01T17:54:31","modified_gmt":"2026-08-01T17:54:31","slug":"skumanie-osovej-sumernosti-pomocou-3d-pera-v-badatelsky-orientovanom-vyucovani","status":"publish","type":"post","link":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/en\/skumanie-osovej-sumernosti-pomocou-3d-pera-v-badatelsky-orientovanom-vyucovani\/","title":{"rendered":"Sk\u00famanie osovej s\u00famernosti pomocou 3D pera v b\u00e1date\u013esky orientovanom vyu\u010dovan\u00ed"},"content":{"rendered":"<p><em>Angelika Schmid<\/em><br \/><small>Univerzita Komensk\u00e9ho v Bratislave, Pedagogick\u00e1 fakulta, Bratislava<\/small><\/p>\n<p>Osov\u00e1 s\u00famernos\u0165 patr\u00ed medzi z\u00e1kladn\u00e9 t\u00e9my \u0161kolskej geometrie. Jej vyu\u010dovanie je tradi\u010dne zalo\u017een\u00e9 na ur\u010dovan\u00ed os\u00ed s\u00famernosti alebo kon\u0161trukcii obrazov \u00fatvarov v pracovn\u00fdch listoch, pri\u010dom \u017eiaci \u010dasto postupuj\u00fa pod\u013ea zn\u00e1meho algoritmu. Tak\u00fdto pr\u00edstup v\u0161ak poskytuje len obmedzen\u00fd priestor na formulovanie a experiment\u00e1lne overovanie vlastn\u00fdch hypot\u00e9z o osovej s\u00famernosti rovinn\u00fdch \u00fatvarov. Pr\u00edspevok predstavuje n\u00e1vrh b\u00e1date\u013esky orientovanej aktivity vyu\u017e\u00edvaj\u00facej 3D pero, ktorej cie\u013eom je podpori\u0165 porozumenie osovej s\u00famernosti ako nepriameho zhodn\u00e9ho zobrazenia prostredn\u00edctvom experimentovania a fyzickej manipul\u00e1cie.<br \/>\nAktivita bola navrhnut\u00e1 v r\u00e1mci projektu KEGA 077UK-4\/2025 Edu-STEAM laborat\u00f3rium v u\u010dite\u013estve prim\u00e1rneho vzdel\u00e1vania, je teoreticky ukotven\u00e1 v modeli geometrick\u00e9ho myslenia van Hieleho a \u0161trukt\u00farovan\u00e1 pod\u013ea vyu\u010dovacieho modelu 5E. Pilotne bola realizovan\u00e1 s dvoma skupinami \u0161tudentov u\u010dite\u013estva prim\u00e1rneho vzdel\u00e1vania. \u00da\u010dastn\u00edci pracovali s laminovan\u00fdmi 2D \u0161abl\u00f3nami rovinn\u00fdch \u00fatvarov a pri formulovan\u00ed hypot\u00e9z vyu\u017e\u00edvali dreven\u00fa \u0161paj\u013eu ako model predpokladanej osi s\u00famernosti. Prostredn\u00edctvom kon\u0161trukcie s 3D perom a n\u00e1slednej priestorovej manipul\u00e1cie experiment\u00e1lne overovali platnos\u0165 hypot\u00e9zy, \u017ee zvolen\u00fd \u00fatvar je osovo s\u00famern\u00fd vzh\u013eadom na navrhnut\u00fa priamku.<br \/>\nPr\u00edspevok diskutuje didaktick\u00fd potenci\u00e1l navrhnutej aktivity z poh\u013eadu b\u00e1date\u013esky orientovan\u00e9ho vyu\u010dovania geometrie. Osobitn\u00e1 pozornos\u0165 je venovan\u00e1 prepojeniu rovinn\u00e9ho geometrick\u00e9ho zobrazenia s jeho experiment\u00e1lnym overovan\u00edm prostredn\u00edctvom fyzickej manipul\u00e1cie, ako aj mo\u017enostiam vyu\u017eitia 3D pera priamo po\u010das vyu\u010dovania geometrie. Z\u00e1rove\u0148 stru\u010dne porovn\u00e1va jeho didaktick\u00e9 vyu\u017eitie s 3D tla\u010dou, ktor\u00e1 je v \u0161kolskej praxi vyu\u017e\u00edvan\u00e1 predov\u0161etk\u00fdm na pr\u00edpravu manipulat\u00edvnych pom\u00f4cok.(spoluautori M\u00e1ria Anna Jedin\u00e1 a Lilla Kore\u0148ov\u00e1)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Angelika SchmidUniverzita Komensk\u00e9ho v Bratislave, Pedagogick\u00e1 fakulta, Bratislava Osov\u00e1 s\u00famernos\u0165 patr\u00ed medzi z\u00e1kladn\u00e9 t\u00e9my \u0161kolskej geometrie. Jej vyu\u010dovanie je tradi\u010dne zalo\u017een\u00e9 na ur\u010dovan\u00ed os\u00ed s\u00famernosti alebo kon\u0161trukcii obrazov \u00fatvarov v pracovn\u00fdch listoch, pri\u010dom \u017eiaci \u010dasto postupuj\u00fa pod\u013ea zn\u00e1meho algoritmu. Tak\u00fdto pr\u00edstup v\u0161ak poskytuje len obmedzen\u00fd priestor na formulovanie a experiment\u00e1lne overovanie vlastn\u00fdch hypot\u00e9z o osovej [&hellip;]<\/p>\n","protected":false},"author":66,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-939","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\/939","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\/66"}],"replies":[{"embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/comments?post=939"}],"version-history":[{"count":0,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/posts\/939\/revisions"}],"wp:attachment":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/media?parent=939"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/categories?post=939"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/tags?post=939"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}