{"id":870,"date":"2023-01-04T15:30:00","date_gmt":"2023-01-04T14:30:00","guid":{"rendered":"http:\/\/ucitel.kvcso.cz\/?p=870"},"modified":"2023-01-05T15:32:57","modified_gmt":"2023-01-05T14:32:57","slug":"jak-ovlivni-ai-matematiku","status":"publish","type":"post","link":"https:\/\/ucitel.kvcso.cz\/?p=870","title":{"rendered":"Jak ovlivn\u00ed AI matematiku?"},"content":{"rendered":"\n<p><em><br>Jak vypad\u00e1 cesta od v\u00fdpo\u010dt\u016f a\u017e k vytv\u00e1\u0159en\u00ed \u00faloh<\/em>?<\/p>\n\n\n\n<p>ChatGPT se zat\u00edm na matematiku nezam\u011b\u0159uje, ale i tak se sna\u017e\u00ed reagovat. Zkou\u0161eli jsme n\u011bkolik \u00faloh z pravd\u011bpodobnosti a v\u00fdsledky byly ob\u010das dost divok\u00e9. Jednodu\u0161\u0161\u00ed \u00falohy s hrac\u00edmi kostkami um\u011bl\u00e1 inteligence zvl\u00e1dala v pohod\u011b, ale slo\u017eit\u011bj\u0161\u00ed p\u0159\u00edklady s kombinatorikou u\u017e m\u011bla s chybami. Ale tak\u00e9 se zaj\u00edmav\u00fdmi postupy, kter\u00e9 vyvol\u00e1valy dal\u0161\u00ed ot\u00e1zky. Fakt to stoj\u00ed za vyzkou\u0161eni, sta\u010d\u00ed n\u011bkolik st\u0159edo\u0161kolsk\u00fdch p\u0159\u00edklad\u016f.<br><br>Dal\u0161\u00edm krokem je tvorba \u00faloh. Zadal jsem hodn\u011b obecn\u00fd po\u017eadavek:<br><em>&#8222;Vytvo\u0159 \u00falohu z pravd\u011bpodobnosti o h\u00e1zen\u00ed t\u0159emi hrac\u00edmi kostkami.&#8220;<\/em><br><br>Odpov\u011b\u010f:<br><em>&#8222;R\u00e1d ti pom\u016f\u017eu s \u00falohou z pravd\u011bpodobnosti ohledn\u011b h\u00e1zen\u00ed t\u0159emi hrac\u00edmi kostkami. Zde je p\u0159\u00edklad \u00falohy:<br>Ve h\u0159e se h\u00e1z\u00ed t\u0159emi hrac\u00edmi kostkami. Ka\u017ed\u00e1 kostka m\u00e1 \u0161est st\u011bn s \u010d\u00edslicemi od 1 do 6. Jak\u00e1 je pravd\u011bpodobnost, \u017ee se vyh\u00e1zej\u00ed \u010d\u00edsla 3, 4 a 5 p\u0159i jednom hodu?&#8220;<\/em><br><br>V ka\u017ed\u00e9m p\u0159\u00edpad\u011b se otev\u00edr\u00e1 nov\u00e1 cesta v\u00fduky, kter\u00e1 n\u00e1s kantory donut\u00ed zm\u011bnit mnoho n\u00e1vyk\u016f. Hledal jsem n\u011bjak\u00e9 srovn\u00e1n\u00ed a napadla mne Geogebra. Ta m\u00e1 toti\u017e dnes ji\u017e potenci\u00e1l umo\u017enit vzd\u011bl\u00e1v\u00e1n\u00ed samostudiem v \u0159ad\u011b t\u00e9mat. Jednak je z\u00e1bavn\u00e1 a kreativn\u00ed, a d\u00e1le je intuitivn\u00ed a p\u0159\u00edstupn\u00e1. A dok\u00e1\u017ee sv\u00fdm zp\u016fsobem odpov\u00eddat na ot\u00e1zky. Tady je nejv\u011bt\u0161\u00ed probl\u00e9m: um\u00ed se \u017e\u00e1ci pt\u00e1t Geogebry jej\u00edm jazykem?<br><br>Dosavadn\u00ed zku\u0161enost je takov\u00e1, \u017ee: a)\u00a0mus\u00ed se nau\u010dit program pou\u017e\u00edvat; b)\u00a0pot\u0159ebuj\u00ed m\u00edt jasno v tom, co vlastn\u011b \u0159e\u0161\u00ed. Zat\u00edmco prvni bod je z\u00e1le\u017eitost\u00ed rutiny, v tom druh\u00e9m se projevuje didaktick\u00e1 schopnost u\u010ditele. J\u00e1 to mo\u017en\u00e1 p\u0159eh\u00e1n\u00edm, ale pokud se kantor nenau\u010d\u00ed Geogebru aktivn\u011b zapojovat do v\u00fduky matematiky, m\u016f\u017ee b\u00fdt jednou dost ne\u0161\u0165astn\u00fd. Mimochodem, v Geogeb\u0159e vznikaj\u00ed kr\u00e1sn\u00e9 modely pro fyziku a vyu\u017eit\u00ed m\u00e1 i v biologii a chemii.<br><br>Budoucnost OpenAI v matematice ch\u00e1pu podobn\u011b, i kdy\u017e samoz\u0159ejm\u011b v jin\u00e9 \u00farovni. Vyznat se v tom, jak bude p\u0159\u00edpadn\u00e9 odpov\u011bdi formulovat, bude pro \u017e\u00e1ky o\u0159\u00ed\u0161ek. Proto\u017ee kolikr\u00e1t se n\u00e1m stalo, \u017ee i p\u0159es promy\u0161len\u00e9 vysv\u011btlen\u00ed, nav\u00edc s v\u011bdom\u00edm, \u017ee se p\u0159izp\u016fsobujeme c\u00edlov\u00e9 skupin\u011b, se n\u011bkdo ozve s t\u00edm, \u017ee to po\u0159\u00e1d nech\u00e1pe? \u0158e\u0161it probl\u00e9my nen\u00ed to sam\u00e9 jako ps\u00e1t esej. Mo\u017en\u00e1 m\u00e9n\u011b tv\u016fr\u010d\u00ed, ale rozhodn\u011b stejn\u011b vyz\u00fdvav\u00e9. \u00daloha u\u010ditele, a\u0165 ji\u017e v jak\u00e9koli form\u011b, bude nutn\u00e1.<\/p>\n\n\n\n<p><strong>Autor: Petr Chlebek<\/strong><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Jak vypad\u00e1 cesta od v\u00fdpo\u010dt\u016f a\u017e k vytv\u00e1\u0159en\u00ed \u00faloh? ChatGPT se zat\u00edm na matematiku nezam\u011b\u0159uje, ale i tak se sna\u017e\u00ed reagovat. Zkou\u0161eli jsme n\u011bkolik \u00faloh z pravd\u011bpodobnosti a v\u00fdsledky byly ob\u010das dost divok\u00e9. Jednodu\u0161\u0161\u00ed \u00falohy s hrac\u00edmi kostkami um\u011bl\u00e1 inteligence zvl\u00e1dala v pohod\u011b, ale slo\u017eit\u011bj\u0161\u00ed p\u0159\u00edklady s kombinatorikou u\u017e m\u011bla s chybami. Ale tak\u00e9 se&#8230;<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18,7],"tags":[15,36,107,33,34],"class_list":["post-870","post","type-post","status-publish","format-standard","hentry","category-sekce-ict","category-sekce-matematiky-a-informatiky","tag-ict","tag-informaticka-gramotnost","tag-informaticke-mysleni","tag-informatika","tag-matematika"],"_links":{"self":[{"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/posts\/870","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=870"}],"version-history":[{"count":1,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/posts\/870\/revisions"}],"predecessor-version":[{"id":871,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/posts\/870\/revisions\/871"}],"wp:attachment":[{"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=870"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=870"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=870"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}