{"id":36577,"date":"2019-10-31T22:12:27","date_gmt":"2019-10-31T19:12:27","guid":{"rendered":"https:\/\/prohoster.info\/blog\/vot-zachem-nuzhna-shkolnaya-algebra\/"},"modified":"2019-10-31T22:12:27","modified_gmt":"2019-10-31T19:12:27","slug":"vot-zachem-nuzhna-shkolnaya-algebra","status":"publish","type":"post","link":"https:\/\/prohoster.info\/cs\/blog\/news\/vot-zachem-nuzhna-shkolnaya-algebra","title":{"rendered":"Jak\u00fd je smysl \u0161koln\u00ed algebry","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p>Obvykle, kdy\u017e se pt\u00e1me \u201epro\u010d je matematika pot\u0159ebn\u00e1?\u201c, dostaneme odpov\u011b\u010f jako \u201egymnastika pro mysl\u201c. Podle m\u00e9ho n\u00e1zoru tohle vysv\u011btlen\u00ed nesta\u010d\u00ed. Kdy\u017e \u010dlov\u011bk prov\u00e1d\u00ed fyzick\u00e9 cvi\u010den\u00ed, zn\u00e1 p\u0159esn\u00e1 jm\u00e9na svalov\u00fdch skupin, kter\u00e9 p\u0159i tom posiluje. Ale diskuse o matematice z\u016fst\u00e1vaj\u00ed p\u0159\u00edli\u0161 abstraktn\u00ed. Kter\u00e9 konkr\u00e9tn\u00ed \u201esvaly mysli\u201c tr\u00e9nuje \u0161koln\u00ed algebra? V\u017edy\u0165 se v\u016fbec nepodob\u00e1 skute\u010dn\u00e9 matematice, ve kter\u00e9 se d\u011blaj\u00ed velk\u00e9 objevov\u00e1n\u00ed. Co vlastn\u011b p\u0159in\u00e1\u0161\u00ed dovednost hledat derivaci n\u011bjak\u00fdch slo\u017eit\u00fdch funkc\u00ed?<\/p>\n<p>U\u010dit programov\u00e1n\u00ed slab\u00fdm student\u016fm m\u011b p\u0159ivedlo k p\u0159esn\u011bj\u0161\u00ed odpov\u011bdi na ot\u00e1zku \u201epro\u010d?\u201c. V \u010dl\u00e1nku se v\u00e1m ji pokus\u00edm p\u0159ibl\u00ed\u017eit.<\/p>\n<p><img decoding=\"async\" alt=\"Jak\u00fd je smysl \u0161koln\u00ed algebry\" src=\"\/wp-content\/uploads\/2019\/07\/68c529ad50470860a474ba8d910ff00f.jpg\" style=\"display:block;margin: 0 auto;\" \/><noindex><a rel=\"nofollow\" name=\"habracut\"><\/a><\/noindex><br \/>\nVe \u0161kole se v\u011bnuje pom\u011brn\u011b dost \u010dasu p\u0159evodu a zjednodu\u0161ov\u00e1n\u00ed v\u00fdraz\u016f. Nap\u0159\u00edklad: 81&#215;2+126xy+49y2 je t\u0159eba p\u0159ev\u00e9st na (9x+7y)2.<\/p>\n<p>V tomto p\u0159\u00edkladu se o\u010dek\u00e1v\u00e1, \u017ee student si vzpomene na vzorec pro druhou mocninu sou\u010dtu. <\/p>\n<p><img decoding=\"async\" alt=\"Jak\u00fd je smysl \u0161koln\u00ed algebry\" src=\"\/wp-content\/uploads\/2019\/07\/7b8f583cf587730de2f76011f83b05b2.jpg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>\nV slo\u017eit\u011bj\u0161\u00edch p\u0159\u00edpadech lze z\u00edskan\u00fd v\u00fdraz pou\u017e\u00edt pro dal\u0161\u00ed transformace. Nap\u0159\u00edklad:<\/p>\n<p><img decoding=\"async\" alt=\"Jak\u00fd je smysl \u0161koln\u00ed algebry\" src=\"\/wp-content\/uploads\/2019\/07\/fe1570cc2f91020281abd22b47aad458.jpg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>\nse nejprve transformuje na<\/p>\n<p><img decoding=\"async\" alt=\"Jak\u00fd je smysl \u0161koln\u00ed algebry\" src=\"\/wp-content\/uploads\/2019\/07\/0aaa7d8b4dbf3d4c8e331a44088fc863.jpg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>\na pot\u00e9, s ujasn\u011bn\u00edm (a + 2b) != 0, se dostane na tuto podobu<\/p>\n<p><img decoding=\"async\" alt=\"Jak\u00fd je smysl \u0161koln\u00ed algebry\" src=\"\/wp-content\/uploads\/2019\/07\/a95f9f03442ae65be217f70d4039b433.jpg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>Aby student dos\u00e1hl takov\u00e9ho v\u00fdsledku, mus\u00ed v p\u016fvodn\u00edm v\u00fdrazu rozpoznat a pot\u00e9 aplikovat t\u0159i vzorce:<\/p>\n<ul>\n<li>Druh\u00e1 mocnina sou\u010dtu<\/li>\n<li>Rozd\u00edl \u010dtverc\u016f<\/li>\n<li>Zjednodu\u0161en\u00ed faktor\u016f v oby\u010dejn\u00e9m zlomku<\/li>\n<\/ul>\n<p>\nNa b\u011b\u017en\u00e9 \u0161kole jsme na algeb\u0159e tr\u00e1vili t\u00e9m\u011b\u0159 cel\u00fd \u010das t\u011bmito transformacemi. Na V\u0160 ve vy\u0161\u0161\u00ed matematice se nic z\u00e1sadn\u00edho nezm\u011bnilo. \u0158ekli n\u00e1m, jak br\u00e1t derivace (integr\u00e1ly atd.) a dali n\u00e1m hromadu \u00faloh. Bylo to u\u017eite\u010dn\u00e9? Podle m\u00e9ho n\u00e1zoru \u2014 ano. V d\u016fsledku pln\u011bn\u00ed t\u011bchto cvi\u010den\u00ed:<\/p>\n<ol>\n<li>Z\u00edskal jsem dovednost transformace v\u00fdraz\u016f.<\/li>\n<li>Rozvinula se mi pozornost k detail\u016fm.<\/li>\n<li>Byl vytvo\u0159en ide\u00e1l \u2014 lakonick\u00fd v\u00fdraz, ke kter\u00e9mu se lze sna\u017eit p\u0159ibl\u00ed\u017eit.<\/li>\n<\/ol>\n<p>\nPodle m\u00e9ho n\u00e1zoru je existence takov\u00e9ho ide\u00e1lu, kvality a dovednosti velmi u\u017eite\u010dn\u00e1 v ka\u017edodenn\u00ed pr\u00e1ci program\u00e1tora. V\u017edy\u0165 zjednodu\u0161it v\u00fdraz znamen\u00e1 v podstat\u011b zm\u011bnit jeho strukturu s c\u00edlem usnadnit porozum\u011bn\u00ed, a to bez naru\u0161en\u00ed smyslu. P\u0159ipom\u00edn\u00e1 v\u00e1m to n\u011bco?<\/p>\n<p>To je prakticky definice refaktoringu z homonymn\u00ed knihy Martina Fowlera.<\/p>\n<p>Ve sv\u00e9 pr\u00e1ci autor formuluje tyto vzorce n\u00e1sledovn\u011b:<\/p>\n<blockquote><p>Refaktoring (Refactoring) (podstatn\u00e9 jm\u00e9no): zm\u011bna ve vnit\u0159n\u00ed struktu\u0159e softwaru, jej\u00edm\u017e c\u00edlem je usnadnit porozum\u011bn\u00ed jeho fungov\u00e1n\u00ed a zjednodu\u0161it modifikaci, ani\u017e by se dotklo pozorovan\u00e9ho chov\u00e1n\u00ed.\n<\/p><\/blockquote>\n<blockquote><p>Prov\u00e1d\u011bt refaktoring (Refactor) (sloveso): m\u011bnit strukturu softwaru na z\u00e1klad\u011b \u0159ady refaktoring\u016f, ani\u017e by se to dotklo jeho chov\u00e1n\u00ed.\n<\/p><\/blockquote>\n<p>Kniha poskytuje \u201eformule\u201c, kter\u00e9 je t\u0159eba rozpoznat v p\u016fvodn\u00edm k\u00f3du, a pravidla jejich transformace.<\/p>\n<p>Jako nejjednodu\u0161\u0161\u00ed p\u0159\u00edklad uvedu \u201evytvo\u0159en\u00ed vysv\u011btluj\u00edc\u00ed prom\u011bnn\u00e9\u201c z knihy:<\/p>\n<pre><code class=\"plaintext\">if ( (platform.toUpperCase().indexOf(\u201cMAC\u201d) &gt; -1 ) &amp;&amp;\n    (browser.toUpperCase().indexOf(\u201cIE\u201d) &gt; -1 )&amp;&amp;\n    wasInitialized() &amp;&amp; resize &gt; 0 ) {\n    \/\/ prove\u010f n\u011bco\n}<\/code><\/pre>\n<p>\n\u010c\u00e1sti v\u00fdrazu je t\u0159eba zapsat do prom\u011bnn\u00e9, jej\u00ed\u017e n\u00e1zev vysv\u011btluje jej\u00ed \u00fa\u010del.<\/p>\n<pre><code class=\"plaintext\">final boolean isMacOS = platform.toUpperCase().indexOf(\u201cMAC\u201d) &gt; -1;\nfinal boolean isIEBrowser = browser.toUpperCase().indexOf(\u201cIE\u201d) &gt; -1;\nfinal boolean isResized = resize &gt; 0;\nif(isMacOS &amp;&amp; isIEBrowser &amp;&amp; wasInitialized() &amp;&amp; isResized) {\n   \/\/ prove\u010f n\u011bco\n}\n<\/code><\/pre>\n<p>\nP\u0159edstavte si \u010dlov\u011bka, kter\u00fd nedok\u00e1\u017ee zjednodu\u0161ovat algebraick\u00e9 v\u00fdrazy za pou\u017eit\u00ed vzorce pro \u010dtverec sou\u010dtu a rozd\u00edlu \u010dtverc\u016f.<\/p>\n<p>Jak mysl\u00edte, bude tenhle \u010dlov\u011bk schopen refaktorovat k\u00f3d?<\/p>\n<p>Bude schopen v\u016fbec napsat srozumiteln\u00fd k\u00f3d pro ostatn\u00ed, pokud si nevytvo\u0159il ide\u00e1l t\u00e9to samotn\u00e9 \u00faspornosti? Podle m\u00e9ho n\u00e1zoru \u2013 ne.<\/p>\n<p>Nicm\u00e9n\u011b ve \u0161kole se u\u010d\u00ed v\u0161ichni, ale program\u00e1tory se st\u00e1v\u00e1 men\u0161ina. Je dovednost transformace v\u00fdraz\u016f u\u017eite\u010dn\u00e1 pro b\u011b\u017en\u00e9 lidi? Mysl\u00edm, \u017ee ano. Jen se dovednost uplat\u0148uje v abstraktn\u011bj\u0161\u00ed podob\u011b: je t\u0159eba zhodnotit situaci a vybrat dal\u0161\u00ed krok tak, aby se p\u0159ibl\u00ed\u017eil c\u00edli. V pedagogice se tento fenom\u00e9n naz\u00fdv\u00e1 <noindex><a rel=\"nofollow\" href=\"https:\/\/current_pedagogy.academic.ru\/1191\/\">p\u0159enos (dovednosti)<\/a><\/noindex>.<\/p>\n<p>Nejv\u00fdrazn\u011bj\u0161\u00ed p\u0159\u00edklady vznikaj\u00ed p\u0159i dom\u00e1c\u00edch oprav\u00e1ch s vyu\u017eit\u00edm dostupn\u00fdch prost\u0159edk\u016f, \u201ekolchozn\u00edm\u201c zp\u016fsobem. V\u00fdsledkem jsou ty \u201ef\u00edgle\u201c a lifehacky, z nich\u017e jeden je zobrazen na KPDB. Autor my\u0161lenky m\u011bl kus d\u0159eva, dr\u00e1t a \u010dty\u0159i \u0161rouby. Vzpomn\u011bl si na \u0161ablonu patice pro lampu a z nich slo\u017eil dom\u00e1c\u00ed patici.<\/p>\n<p>I p\u0159i j\u00edzd\u011b motorov\u00fdm vozidlem se \u0159idi\u010d neust\u00e1le zab\u00fdv\u00e1 rozpozn\u00e1v\u00e1n\u00edm vzor\u016f v okoln\u00edm sv\u011bt\u011b a prov\u00e1d\u011bn\u00edm odpov\u00eddaj\u00edc\u00edch man\u00e9vr\u016f, aby se dostal k c\u00edli.<\/p>\n<blockquote><p>Kdy\u017e um\u0159e\u0161, nev\u00ed\u0161 o tom, je to jen pro ostatn\u00ed t\u011b\u017ek\u00e9. To sam\u00e9 plat\u00ed, kdy\u017e jsi nezvl\u00e1dl matematiku\u2026<\/p><\/blockquote>\n<p>Co se stane, pokud se \u010dlov\u011bku nepoda\u0159\u00ed zvl\u00e1dnout transformaci v\u00fdraz\u016f? Ob\u010das vedu individu\u00e1ln\u00ed lekce se studenty, kte\u0159\u00ed nem\u011bli na \u0161kole dobrou matematiku. Obvykle uv\u00edznou na t\u00e9matu o cyklech. Tak moc, \u017ee s nimi mus\u00edm pracovat na \"algeb\u0159e\", ale v programovac\u00edm jazyce.<br \/>\nSt\u00e1v\u00e1 se to, proto\u017ee p\u0159i psan\u00ed cykl\u016f spo\u010d\u00edv\u00e1 hlavn\u00ed technika pr\u00e1v\u011b v tom, jak p\u0159ev\u00e9st skupinu stejn\u00fdch v\u00fdraz\u016f.<\/p>\n<p>P\u0159edstavme si, \u017ee v\u00fdsledek b\u011bhu programu by m\u011bl vypadat takto:<\/p>\n<blockquote><p>\u00davod<br \/>\nKapitola 1<br \/>\nKapitola 2<br \/>\nKapitola 3<br \/>\nKapitola 4<br \/>\nKapitola 5<br \/>\nHlava 6<br \/>\nHlava 7<br \/>\nZ\u00e1v\u011br<\/p><\/blockquote>\n<p> Trivi\u00e1ln\u00ed program pro dosa\u017een\u00ed tohoto v\u00fdsledku vypad\u00e1 takto:<\/p>\n<pre><code class=\"cs\">static void Main(string[] args)\n{\n    Console.WriteLine(\"\u00davod\");\n    Console.WriteLine(\"Kapitola 1\");\n    Console.WriteLine(\"Kapitola 2\");\n    Console.WriteLine(\"Kapitola 3\");\n    Console.WriteLine(\"Kapitola 4\");\n    Console.WriteLine(\"Kapitola 5\");\n    Console.WriteLine(\"Kapitola 6\");\n    Console.WriteLine(\"Kapitola 7\");\n    Console.WriteLine(\"Z\u00e1v\u011br\");\n}<\/code><\/pre>\n<p>\nAle toto \u0159e\u0161en\u00ed je daleko od stru\u010dn\u00e9ho ide\u00e1lu. Nejprve je v n\u011bm pot\u0159eba naj\u00edt opakuj\u00edc\u00ed se skupinu \u00fakon\u016f a pak je transformovat. Nakonec dostaneme takov\u00e9 \u0159e\u0161en\u00ed:<\/p>\n<pre><code class=\"cs\">static void Main(string[] args)\n{\n    Console.WriteLine(\"\u00davod\");\n    for (int i = 1; i &lt;= 7; i++)\n    {\n        Console.WriteLine(&quot;Kapitola &quot; + i);\n    }\n    Console.WriteLine(&quot;Z\u00e1v\u011br&quot;);\n}<\/code><\/pre>\n<p>\nPokud se v\u0161ak \u010dlov\u011bk v\u010das nenau\u010dil matematiku, nebude schopen takov\u00e9 transformace prov\u00e9st. Prost\u011b mu chyb\u00ed odpov\u00eddaj\u00edc\u00ed dovednost. Proto je t\u00e9ma cykl\u016f prvn\u00ed p\u0159ek\u00e1\u017ekou p\u0159i u\u010den\u00ed v\u00fdvoj\u00e1\u0159e.<\/p>\n<p>Podobn\u00e9 probl\u00e9my se vyskytuj\u00ed i v jin\u00fdch oblastech. Pokud \u010dlov\u011bk neum\u00ed pou\u017e\u00edvat dostupn\u00fd n\u00e1stroj, nebude schopen projevit ka\u017edodenn\u00ed vynal\u00e9zavost. Zl\u00ed jazykov\u00e9 budou \u0159\u00edkat, \u017ee ruce nem\u00e1 z toho spr\u00e1vn\u00e9ho m\u00edsta. Na silnici se to projevuje v neschopnosti spr\u00e1vn\u011b posoudit situaci a vybrat man\u00e9vr. Co\u017e n\u011bkdy m\u016f\u017ee v\u00e9st k tragick\u00fdm n\u00e1sledk\u016fm.<\/p>\n<p>Z\u00e1v\u011bry:<\/p>\n<ol>\n<li>\u0160koln\u00ed a vysoko\u0161kolsk\u00e1 matematika n\u00e1m je pot\u0159ebn\u00e1, abychom um\u011bli zlep\u0161ovat sv\u011bt t\u011bmi prost\u0159edky, kter\u00e9 m\u00e1me.<\/li>\n<li>Pokud se u\u010d\u00edte a m\u00e1te probl\u00e9my s porozum\u011bn\u00edm cykl\u016fm, zkuste se vr\u00e1tit ke ko\u0159en\u016fm \u2014 \u0161koln\u00ed algeb\u0159e. Vezm\u011bte si u\u010debnici pro 9. t\u0159\u00eddu a \u0159e\u0161te p\u0159\u00edklady z n\u00ed.<\/li>\n<\/ol>\n<p>Zdroj: <a content=\"nofollow\" rel=\"nofollow\" href=\"https:\/\/habr.com\/ru\/post\/456156\/\">habr.com<\/a><\/p>","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>\u041e\u0431\u044b\u0447\u043d\u043e \u043d\u0430 \u0432\u043e\u043f\u0440\u043e\u0441 \u00ab\u0437\u0430\u0447\u0435\u043c \u043d\u0443\u0436\u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430?\u00bb \u043e\u0442\u0432\u0435\u0447\u0430\u044e\u0442 \u0447\u0442\u043e-\u0442\u043e \u0432\u0440\u043e\u0434\u0435 \u00ab\u0433\u0438\u043c\u043d\u0430\u0441\u0442\u0438\u043a\u0430 \u0434\u043b\u044f \u0443\u043c\u0430\u00bb. \u041d\u0430 \u043c\u043e\u0439 \u0432\u0437\u0433\u043b\u044f\u0434, \u044d\u0442\u043e\u0433\u043e \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u044f \u043d\u0435\u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e. \u041a\u043e\u0433\u0434\u0430 \u0447\u0435\u043b\u043e\u0432\u0435\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442 \u0444\u0438\u0437\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0442\u043e \u043e\u043d \u0437\u043d\u0430\u0435\u0442 \u0442\u043e\u0447\u043d\u043e\u0435 \u043d\u0430\u0437\u0432\u0430\u043d\u0438\u0435 \u0433\u0440\u0443\u043f\u043f \u043c\u044b\u0448\u0446, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043f\u0440\u0438 \u044d\u0442\u043e\u043c \u0440\u0430\u0437\u0432\u0438\u0432\u0430\u044e\u0442\u0441\u044f. \u041d\u043e \u0440\u0430\u0437\u0433\u043e\u0432\u043e\u0440\u044b \u043f\u0440\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0443 \u043e\u0441\u0442\u0430\u044e\u0442\u0441\u044f \u0441\u043b\u0438\u0448\u043a\u043e\u043c \u0430\u0431\u0441\u0442\u0440\u0430\u043a\u0442\u043d\u044b\u043c\u0438. \u041a\u0430\u043a\u0438\u0435 \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u043e \u00ab\u043c\u044b\u0448\u0446\u044b \u0443\u043c\u0430\u00bb \u0442\u0440\u0435\u043d\u0438\u0440\u0443\u044e\u0442\u0441\u044f \u0448\u043a\u043e\u043b\u044c\u043d\u043e\u0439 \u0430\u043b\u0433\u0435\u0431\u0440\u043e\u0439? \u041e\u043d\u0430 \u0432\u0435\u0434\u044c \u0441\u043e\u0432\u0441\u0435\u043c \u043d\u0435 \u043f\u043e\u0445\u043e\u0436\u0430 \u043d\u0430 \u043d\u0430\u0441\u0442\u043e\u044f\u0449\u0443\u044e [&hellip;]<\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":27386,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[702],"tags":[],"class_list":["post-36577","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-news"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.3 - aioseo.com -->\n\t<meta name=\"description\" content=\"\u041e\u0431\u044b\u0447\u043d\u043e \u043d\u0430 \u0432\u043e\u043f\u0440\u043e\u0441 \u00ab\u0437\u0430\u0447\u0435\u043c \u043d\u0443\u0436\u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430?\u00bb \u043e\u0442\u0432\u0435\u0447\u0430\u044e\u0442 \u0447\u0442\u043e-\u0442\u043e \u0432\u0440\u043e\u0434\u0435 \u00ab\u0433\u0438\u043c\u043d\u0430\u0441\u0442\u0438\u043a\u0430 \u0434\u043b\u044f \u0443\u043c\u0430\u00bb. \u041d\u0430 \u043c\u043e\u0439 \u0432\u0437\u0433\u043b\u044f\u0434, \u044d\u0442\u043e\u0433\u043e \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u044f \u043d\u0435\u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e.\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"Yuri Gagarin\"\/>\n\t<link rel=\"canonical\" href=\"https:\/\/prohoster.info\/cs\/blog\/news\/vot-zachem-nuzhna-shkolnaya-algebra\" \/>\n\t\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 5.0.3\" \/>\n\t\t<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n\t\t<meta property=\"og:site_name\" content=\"ProHoster | \u041a\u0443\u043f\u0438\u0442\u044c \u043d\u0430\u0434\u0435\u0436\u043d\u044b\u0439 \u0445\u043e\u0441\u0442\u0438\u043d\u0433 \u0434\u043b\u044f \u0441\u0430\u0439\u0442\u043e\u0432 \u0441 \u0437\u0430\u0449\u0438\u0442\u043e\u0439 \u043e\u0442 DDoS, VPS VDS \u0441\u0435\u0440\u0432\u0435\u0440\u044b\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"\ud83e\udd47\u0412\u043e\u0442 \u0437\u0430\u0447\u0435\u043c \u043d\u0443\u0436\u043d\u0430 \u0448\u043a\u043e\u043b\u044c\u043d\u0430\u044f \u0430\u043b\u0433\u0435\u0431\u0440\u0430 | ProHoster\" \/>\n\t\t<meta property=\"og:description\" content=\"\u041e\u0431\u044b\u0447\u043d\u043e \u043d\u0430 \u0432\u043e\u043f\u0440\u043e\u0441 \u00ab\u0437\u0430\u0447\u0435\u043c \u043d\u0443\u0436\u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430?\u00bb \u043e\u0442\u0432\u0435\u0447\u0430\u044e\u0442 \u0447\u0442\u043e-\u0442\u043e \u0432\u0440\u043e\u0434\u0435 \u00ab\u0433\u0438\u043c\u043d\u0430\u0441\u0442\u0438\u043a\u0430 \u0434\u043b\u044f \u0443\u043c\u0430\u00bb. \u041d\u0430 \u043c\u043e\u0439 \u0432\u0437\u0433\u043b\u044f\u0434, \u044d\u0442\u043e\u0433\u043e \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u044f \u043d\u0435\u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e.\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/prohoster.info\/cs\/blog\/news\/vot-zachem-nuzhna-shkolnaya-algebra\" \/>\n\t\t<meta property=\"og:image\" content=\"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg\" \/>\n\t\t<meta property=\"og:image:secure_url\" content=\"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg\" \/>\n\t\t<meta property=\"og:image:width\" content=\"350\" \/>\n\t\t<meta property=\"og:image:height\" content=\"350\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2019-10-31T19:12:27+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2019-10-31T19:12:27+00:00\" \/>\n\t\t<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/prohoster\" \/>\n\t\t<meta property=\"article:author\" content=\"https:\/\/www.facebook.com\/prohoster\" \/>\n\t\t<!-- All in One SEO -->\n\n","aioseo_head_json":{"title":"\ud83e\udd47To je d\u016fvod, pro\u010d je \u0161koln\u00ed algebra d\u016fle\u017eit\u00e1 | ProHoster","description":"Obvykle na ot\u00e1zku \"pro\u010d je matematika d\u016fle\u017eit\u00e1?\" odpov\u00eddaj\u00ed n\u011bco jako \"gymnastika pro mysl\". Podle m\u00e9ho n\u00e1zoru je toto vysv\u011btlen\u00ed nedostate\u010dn\u00e9.","canonical_url":"https:\/\/prohoster.info\/cs\/blog\/news\/vot-zachem-nuzhna-shkolnaya-algebra","robots":"max-image-preview:large","keywords":"","webmasterTools":{"miscellaneous":""},"schema":null,"og:locale":"cs_CZ","og:site_name":"ProHoster | \u041a\u0443\u043f\u0438\u0442\u044c \u043d\u0430\u0434\u0435\u0436\u043d\u044b\u0439 \u0445\u043e\u0441\u0442\u0438\u043d\u0433 \u0434\u043b\u044f \u0441\u0430\u0439\u0442\u043e\u0432 \u0441 \u0437\u0430\u0449\u0438\u0442\u043e\u0439 \u043e\u0442 DDoS, VPS VDS \u0441\u0435\u0440\u0432\u0435\u0440\u044b","og:type":"article","og:title":"\ud83e\udd47\u0412\u043e\u0442 \u0437\u0430\u0447\u0435\u043c \u043d\u0443\u0436\u043d\u0430 \u0448\u043a\u043e\u043b\u044c\u043d\u0430\u044f \u0430\u043b\u0433\u0435\u0431\u0440\u0430 | ProHoster","og:description":"\u041e\u0431\u044b\u0447\u043d\u043e \u043d\u0430 \u0432\u043e\u043f\u0440\u043e\u0441 \u00ab\u0437\u0430\u0447\u0435\u043c \u043d\u0443\u0436\u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430?\u00bb \u043e\u0442\u0432\u0435\u0447\u0430\u044e\u0442 \u0447\u0442\u043e-\u0442\u043e \u0432\u0440\u043e\u0434\u0435 \u00ab\u0433\u0438\u043c\u043d\u0430\u0441\u0442\u0438\u043a\u0430 \u0434\u043b\u044f \u0443\u043c\u0430\u00bb. \u041d\u0430 \u043c\u043e\u0439 \u0432\u0437\u0433\u043b\u044f\u0434, \u044d\u0442\u043e\u0433\u043e \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u044f \u043d\u0435\u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e.","og:url":"https:\/\/prohoster.info\/cs\/blog\/news\/vot-zachem-nuzhna-shkolnaya-algebra","og:image":"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg","og:image:secure_url":"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg","og:image:width":350,"og:image:height":350,"article:published_time":"2019-10-31T19:12:27+00:00","article:modified_time":"2019-10-31T19:12:27+00:00","article:publisher":"https:\/\/www.facebook.com\/prohoster","article:author":"https:\/\/www.facebook.com\/prohoster"},"aioseo_meta_data":{"post_id":"36577","title":null,"description":null,"keywords":null,"keyphrases":null,"primary_term":null,"canonical_url":null,"og_title":null,"og_description":null,"og_object_type":"default","og_image_type":"default","og_image_url":null,"og_image_width":null,"og_image_height":null,"og_image_custom_url":null,"og_image_custom_fields":null,"og_video":null,"og_custom_url":null,"og_article_section":null,"og_article_tags":null,"twitter_use_og":false,"twitter_card":"default","twitter_image_type":"default","twitter_image_url":null,"twitter_image_custom_url":null,"twitter_image_custom_fields":null,"twitter_title":null,"twitter_description":null,"schema":{"blockGraphs":[],"customGraphs":[],"default":{"data":{"Article":[],"Course":[],"Dataset":[],"FAQPage":[],"Movie":[],"Person":[],"Product":[],"ProductReview":[],"Car":[],"Recipe":[],"Service":[],"SoftwareApplication":[],"WebPage":[]},"graphName":"","isEnabled":true},"graphs":[]},"schema_type":null,"schema_type_options":null,"pillar_content":false,"robots_default":true,"robots_noindex":false,"robots_noarchive":false,"robots_nosnippet":false,"robots_nofollow":false,"robots_noimageindex":false,"robots_noodp":false,"robots_notranslate":false,"robots_max_snippet":null,"robots_max_videopreview":null,"robots_max_imagepreview":"large","priority":null,"frequency":null,"local_seo":null,"seo_analyzer_scan_date":"2026-01-22 03:56:20","breadcrumb_settings":null,"limit_modified_date":false,"reviewed_by":null,"ai":null,"created":"2021-03-01 01:42:26","updated":"2026-01-22 03:56:20","focus_keyword":null,"additional_keywords":null,"truseo_locale":null},"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/prohoster.info\/cs\/wp-json\/wp\/v2\/posts\/36577","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/prohoster.info\/cs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/prohoster.info\/cs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/prohoster.info\/cs\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/prohoster.info\/cs\/wp-json\/wp\/v2\/comments?post=36577"}],"version-history":[{"count":0,"href":"https:\/\/prohoster.info\/cs\/wp-json\/wp\/v2\/posts\/36577\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/prohoster.info\/cs\/wp-json\/wp\/v2\/media\/27386"}],"wp:attachment":[{"href":"https:\/\/prohoster.info\/cs\/wp-json\/wp\/v2\/media?parent=36577"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/prohoster.info\/cs\/wp-json\/wp\/v2\/categories?post=36577"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/prohoster.info\/cs\/wp-json\/wp\/v2\/tags?post=36577"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}