{"id":22,"date":"2023-07-05T12:56:05","date_gmt":"2023-07-05T10:56:05","guid":{"rendered":"https:\/\/blogy.rvp.cz\/photomath\/?p=22"},"modified":"2023-08-04T19:33:43","modified_gmt":"2023-08-04T17:33:43","slug":"v-pouzivani-photomath-v-hodine-pri-reseni-slozitejsich-rovnic","status":"publish","type":"post","link":"https:\/\/blogy.rvp.cz\/photomath\/2023\/07\/05\/v-pouzivani-photomath-v-hodine-pri-reseni-slozitejsich-rovnic\/","title":{"rendered":"V.\tPou\u017e\u00edv\u00e1n\u00ed photomath v hodin\u011b: p\u0159i \u0159e\u0161en\u00ed slo\u017eit\u011bj\u0161\u00edch rovnic"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Je pot\u0159eba um\u011bt \u0159e\u0161it v\u0161echny rovnice? Rozvoj matematick\u00fdch znalost\u00ed, ani\u017e by \u017e\u00e1ci v\u011bd\u011bli, \u017ee se to d\u011bje. Prvn\u00ed krok ud\u011bl\u00e1 aplikace a pak \u017e\u00e1ci sami?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">M\u016f\u017eete \u010d\u00edst d\u00e1le tento \u010dl\u00e1nek, nebo si pustit video. <\/p>\n\n\n\n<figure class=\"wp-block-embed-youtube wp-block-embed is-type-video is-provider-youtube wp-embed-aspect-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Photomath 5. d\u00edl: \u0158e\u0161en\u00ed slo\u017eit\u011bj\u0161\u00edch rovnic\" width=\"800\" height=\"600\" src=\"https:\/\/www.youtube.com\/embed\/sH993fCZrw4?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Jestli\u017ee \u017e\u00e1k nem\u00e1 pon\u011bt\u00ed o tom, co je to rovnice, co je to algebraick\u00fd v\u00fdraz, nepom\u016f\u017ee mu k\u00a0\u0159e\u0161en\u00ed sebelep\u0161\u00ed aplikace. <br>Alespo\u0148 element\u00e1rn\u00ed znalost je p\u0159edpokladem pro to, aby si pomoc\u00ed digit\u00e1ln\u00edch technologi\u00ed um\u011bl poradit. Proto\u017ee pokud nev\u00ed nic, nev\u00ed ani, co chce naj\u00edt. Jestli\u017ee nev\u00ed, co je smysl rovnice, pak nev\u00ed, co hled\u00e1 ani co se d\u011bje, a vid\u00ed jen postup a na konci m\u00e1 \u201en\u011bjak\u00e9\u201c p\u00edsmeno rovnaj\u00edc\u00ed se \u201en\u011bjak\u00e9mu\u201c \u010d\u00edslu, v\u00a0lep\u0161\u00edm p\u0159\u00edpad\u011b \u010d\u00edslu p\u0159irozen\u00e9mu.\u00a0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Jestli\u017ee m\u00e1 ale dostate\u010dn\u00e9 z\u00e1kladn\u00ed znalosti, tak v\u00ed, co je rovnice, rovnost stran, nezn\u00e1m\u00e1, element\u00e1rn\u00ed \u00fapravy a ko\u0159en rovnice, resp. \u0159e\u0161en\u00ed rovnice. Pak je <strong>pou\u017eit\u00ed digit\u00e1ln\u00edch technologi\u00ed mo\u017en\u00e9 <\/strong>a <strong>z\u00e1rove\u0148 p\u0159\u00ednosn\u00e9<\/strong>.\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"604\" height=\"633\" src=\"https:\/\/blogy.rvp.cz\/photomath\/files\/2023\/04\/Obr\u00e1zek10.png\" alt=\"\" class=\"wp-image-23\" srcset=\"https:\/\/blogy.rvp.cz\/photomath\/files\/2023\/04\/Obr\u00e1zek10.png 604w, https:\/\/blogy.rvp.cz\/photomath\/files\/2023\/04\/Obr\u00e1zek10-286x300.png 286w\" sizes=\"auto, (max-width: 604px) 100vw, 604px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Pod\u00edvejme se na rovnici, kterou \u017e\u00e1kyn\u011b \u0159e\u0161ila s\u00a0pomoc\u00ed aplikace Photomath. Hlavn\u00ed p\u0159ek\u00e1\u017ekou pro \u0159e\u0161en\u00ed byl zlomek, kde ve jmenovateli bylo desetinn\u00e9 \u010d\u00edslo 0,25. Na n\u00e1sleduj\u00edc\u00edm obr\u00e1zku vid\u00edme postup jak z\u00a0aplikace Photomath, tak vlevo z\u00e1pis \u017e\u00e1kyn\u011b v\u010detn\u011b jej\u00edch barevn\u00fdch vysv\u011btlen\u00ed.\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"643\" height=\"739\" src=\"https:\/\/blogy.rvp.cz\/photomath\/files\/2023\/04\/Obr\u00e1zek11.png\" alt=\"\" class=\"wp-image-24\" srcset=\"https:\/\/blogy.rvp.cz\/photomath\/files\/2023\/04\/Obr\u00e1zek11.png 643w, https:\/\/blogy.rvp.cz\/photomath\/files\/2023\/04\/Obr\u00e1zek11-261x300.png 261w\" sizes=\"auto, (max-width: 643px) 100vw, 643px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Dal\u0161\u00ed rovnice m\u00e1 p\u0159ek\u00e1\u017eku p\u0159edev\u0161\u00edm v\u00a0sou\u010dinu dvou nezn\u00e1m\u00fdch prom\u011bnn\u00fdch \u201e<em>a<\/em>\u201c.\u00a0\u00a0\u017d\u00e1k nemus\u00ed vid\u011bt, \u017ee se v\u00a0dal\u0161\u00edm kroku vyn\u00e1soben\u00e9 nezn\u00e1m\u00e9 na obou stran\u00e1ch ode\u010dtou. Pomoc\u00ed aplikace Photomath se v\u0161ak \u017e\u00e1k (v\u00a0p\u0159\u00edpad\u011b nemo\u017enosti vy\u0159e\u0161en\u00ed rovnice samostatn\u011b) dostane i p\u0159es prvotn\u00ed p\u0159ek\u00e1\u017eku a spolu s aplikov\u00e1n\u00edm sv\u00fdch znalost\u00ed rovnici vy\u0159e\u0161\u00ed. \u017d\u00e1k se z\u00e1rove\u0148 nau\u010d\u00ed n\u011bco nov\u00e9ho a p\u0159\u00ed\u0161t\u011b bude ji\u017e v\u011bd\u011bt, jak postupovat samostatn\u011b.\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"468\" height=\"518\" src=\"https:\/\/blogy.rvp.cz\/photomath\/files\/2023\/04\/Obr\u00e1zek12.png\" alt=\"\" class=\"wp-image-25\" srcset=\"https:\/\/blogy.rvp.cz\/photomath\/files\/2023\/04\/Obr\u00e1zek12.png 468w, https:\/\/blogy.rvp.cz\/photomath\/files\/2023\/04\/Obr\u00e1zek12-271x300.png 271w\" sizes=\"auto, (max-width: 468px) 100vw, 468px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Na z\u00e1v\u011br p\u0159ikl\u00e1d\u00e1m na procvi\u010den\u00ed a vyzkou\u0161en\u00ed dv\u011b rovnice. M\u016f\u017eete je zkusit vy\u0159e\u0161it se sv\u00fdmi \u017e\u00e1ky podle va\u0161eho uv\u00e1\u017een\u00ed. V\u00fdsledky obou rovnic jsou \u010d\u00edsla racion\u00e1ln\u00ed (&#8222;hezk\u00e9&#8220; zlomky).\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"566\" height=\"379\" src=\"https:\/\/blogy.rvp.cz\/photomath\/files\/2023\/04\/Obr\u00e1zek13.png\" alt=\"\" class=\"wp-image-26\" srcset=\"https:\/\/blogy.rvp.cz\/photomath\/files\/2023\/04\/Obr\u00e1zek13.png 566w, https:\/\/blogy.rvp.cz\/photomath\/files\/2023\/04\/Obr\u00e1zek13-300x201.png 300w\" sizes=\"auto, (max-width: 566px) 100vw, 566px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">P\u0159i \u0159e\u0161en\u00ed slo\u017eit\u011bj\u0161\u00edch p\u0159\u00edklad\u016f, v&nbsp;na\u0161em p\u0159\u00edpad\u011b rovnic, pomoc\u00ed aplikace Photomath byly rozv\u00edjeny n\u00e1sleduj\u00edc\u00ed digit\u00e1ln\u00ed kompetence:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>vyu\u017eit\u00ed a zapojen\u00ed \u2013 \u017e\u00e1k ovl\u00e1d\u00e1 b\u011b\u017en\u011b pou\u017e\u00edvan\u00e1 digit\u00e1ln\u00ed za\u0159\u00edzen\u00ed a aplikaci, vyu\u017e\u00edv\u00e1 ji p\u0159i u\u010den\u00ed<\/strong>\u00a0i p\u0159i zapojen\u00ed ve \u0161kole;\u00a0<\/li><li>\u017e\u00e1k samostatn\u011b\u030c rozhoduje, kterou technologii pro \u0159e\u0161en\u00fd probl\u00e9m pou\u017e\u00edt (pou\u017eil\/nepou\u017eil Photomath, kdy a pro\u010d)<\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>efektivita a inovace \u2013<\/strong>\u00a0\u017e\u00e1k vyu\u017e\u00edv\u00e1 digit\u00e1ln\u00ed technologie,\u00a0<strong>aby si usnadnil pr\u00e1ci, zautomatizoval rutinn\u00ed \u010dinnosti<\/strong>, zefektivnil a zjednodu\u0161il sv\u00e9 pracovn\u00ed postupy a zkvalitnil v\u00fdsledky sv\u00e9 pr\u00e1ce (\u0159e\u0161en\u00ed slo\u017eit\u011bj\u0161\u00ed rovnice, usnadn\u011bn\u00ed cesty k\u00a0v\u00fdsledku, nov\u00e9 postupy, nov\u00e9 poznatky);<\/li><li>navrhuje r\u016fzn\u00e9 postupy k \u0159e\u0161en\u00ed vybran\u00fdch probl\u00e9m\u016f pomoc\u00ed digit\u00e1ln\u00edch technologi\u00ed (Lze \u0159e\u0161it postupy uveden\u00e9 aplikac\u00ed Photomath i jinak?)<\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>p\u0159\u00ednos a v\u00fdvoj \u2013<\/strong>&nbsp;\u017e\u00e1k se seznamuje s nov\u00fdmi technologiemi,&nbsp;<strong>kriticky hodnot\u00ed jejich p\u0159\u00ednosy<\/strong>(zhodnocen\u00ed postup\u016f, kter\u00e9 by \u017e\u00e1k \u0159e\u0161il jinak a kter\u00e9 vid\u00ed p\u0159\u00edli\u0161 slo\u017eit\u011b nebo kter\u00e9 se nov\u011b nau\u010dil)<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Pozn.: Uveden\u00e9 p\u0159\u00edklady byly vymy\u0161leny autorkou \u010dl\u00e1nku.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hezk\u00fd den, Kate\u0159ina<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Je pot\u0159eba um\u011bt \u0159e\u0161it v\u0161echny rovnice? Rozvoj matematick\u00fdch znalost\u00ed, ani\u017e by \u017e\u00e1ci v\u011bd\u011bli, \u017ee se to d\u011bje. Prvn\u00ed krok ud\u011bl\u00e1 aplikace a pak \u017e\u00e1ci sami? M\u016f\u017eete \u010d\u00edst d\u00e1le tento \u010dl\u00e1nek, nebo si pustit video. Jestli\u017ee \u017e\u00e1k nem\u00e1 pon\u011bt\u00ed o tom, co je to rovnice, co je to algebraick\u00fd v\u00fdraz, nepom\u016f\u017ee mu k\u00a0\u0159e\u0161en\u00ed sebelep\u0161\u00ed aplikace. Alespo\u0148 [&hellip;]<\/p>\n","protected":false},"author":8626,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[3,4,2],"class_list":["post-22","post","type-post","status-publish","format-standard","hentry","category-nezarazene","tag-digitalni-kompetence","tag-matematika","tag-photomath"],"_links":{"self":[{"href":"https:\/\/blogy.rvp.cz\/photomath\/wp-json\/wp\/v2\/posts\/22","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogy.rvp.cz\/photomath\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogy.rvp.cz\/photomath\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogy.rvp.cz\/photomath\/wp-json\/wp\/v2\/users\/8626"}],"replies":[{"embeddable":true,"href":"https:\/\/blogy.rvp.cz\/photomath\/wp-json\/wp\/v2\/comments?post=22"}],"version-history":[{"count":3,"href":"https:\/\/blogy.rvp.cz\/photomath\/wp-json\/wp\/v2\/posts\/22\/revisions"}],"predecessor-version":[{"id":111,"href":"https:\/\/blogy.rvp.cz\/photomath\/wp-json\/wp\/v2\/posts\/22\/revisions\/111"}],"wp:attachment":[{"href":"https:\/\/blogy.rvp.cz\/photomath\/wp-json\/wp\/v2\/media?parent=22"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogy.rvp.cz\/photomath\/wp-json\/wp\/v2\/categories?post=22"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogy.rvp.cz\/photomath\/wp-json\/wp\/v2\/tags?post=22"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}