{"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\/sq\/blog\/news\/vot-zachem-nuzhna-shkolnaya-algebra","title":{"rendered":"K\u00ebtu \u00ebsht\u00eb pse na nevojitet algebra shkollore","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p>Kur shpesh pyetet \"p\u00ebrse na nevojitet matematika?\" p\u00ebrgjigjen di\u00e7ka si \"gymnastik\u00eb p\u00ebr mendjen\". Sipas mendimit tim, kjo shpjegim \u00ebsht\u00eb e pamjaftueshme. Kur nj\u00eb person kryen ushtrime fizike, ai di emrin e sakt\u00eb t\u00eb grupeve t\u00eb muskujve q\u00eb zhvillohen. Por bisedat mbi matematik\u00ebn mbeten shum\u00eb abstrakte. Cilat \"muskuj t\u00eb mendjes\" st\u00ebrviten nga algebrat shkollore? Ajo nuk \u00ebsht\u00eb aspak si matematika e v\u00ebrtet\u00eb, n\u00eb t\u00eb cil\u00ebn b\u00ebhen zbulime t\u00eb m\u00ebdha. \u00c7far\u00eb na ofron aft\u00ebsia p\u00ebr t\u00eb gjetur derivat\u00ebn e disa funksioneve t\u00eb nd\u00ebrlikuara?<\/p>\n<p>M\u00ebsimi i programimit p\u00ebr student\u00ebt e dob\u00ebt m\u00eb \u00e7oi n\u00eb nj\u00eb p\u00ebrgjigje m\u00eb t\u00eb sakt\u00eb p\u00ebr pyetjen \"p\u00ebrse?\". N\u00eb k\u00ebt\u00eb artikull do t\u00eb p\u00ebrpiqem t'ju p\u00ebrcjell k\u00ebt\u00eb p\u00ebrgjigje.<\/p>\n<p><img decoding=\"async\" alt=\"K\u00ebtu \u00ebsht\u00eb pse na nevojitet algebra shkollore\" src=\"\/wp-content\/uploads\/2019\/07\/68c529ad50470860a474ba8d910ff00f.jpg\" style=\"display:block;margin: 0 auto;\" \/><noindex><a rel=\"nofollow\" name=\"habracut\"><\/a><\/noindex><br \/>\nN\u00eb shkoll\u00eb, punohet shum\u00eb me transformimin dhe thjeshtimin e shprehjeve. P\u00ebr shembull: 81&#215;2+126xy+49y2 duhet transformuar si (9x+7y)2.<\/p>\n<p>N\u00eb k\u00ebt\u00eb shembull, pritet q\u00eb nx\u00ebn\u00ebsi t\u00eb kujtoj\u00eb formul\u00ebn e katrorit t\u00eb shum\u00ebs <\/p>\n<p><img decoding=\"async\" alt=\"K\u00ebtu \u00ebsht\u00eb pse na nevojitet algebra shkollore\" src=\"\/wp-content\/uploads\/2019\/07\/7b8f583cf587730de2f76011f83b05b2.jpg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>\nN\u00eb raste m\u00eb t\u00eb nd\u00ebrlikuara, shprehja e marr\u00eb mund t\u00eb p\u00ebrdoret p\u00ebr transformime t\u00eb tjera. P\u00ebr shembull:<\/p>\n<p><img decoding=\"async\" alt=\"K\u00ebtu \u00ebsht\u00eb pse na nevojitet algebra shkollore\" src=\"\/wp-content\/uploads\/2019\/07\/fe1570cc2f91020281abd22b47aad458.jpg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>\ntransformohet fillimisht n\u00eb<\/p>\n<p><img decoding=\"async\" alt=\"K\u00ebtu \u00ebsht\u00eb pse na nevojitet algebra shkollore\" src=\"\/wp-content\/uploads\/2019\/07\/0aaa7d8b4dbf3d4c8e331a44088fc863.jpg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>\ndhe m\u00eb pas, me sakt\u00ebsimin (a + 2b) != 0, rezulton k\u00ebshtu<\/p>\n<p><img decoding=\"async\" alt=\"K\u00ebtu \u00ebsht\u00eb pse na nevojitet algebra shkollore\" src=\"\/wp-content\/uploads\/2019\/07\/a95f9f03442ae65be217f70d4039b433.jpg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>P\u00ebr t\u00eb arritur nj\u00eb rezultat t\u00eb till\u00eb, nx\u00ebn\u00ebsi duhet t\u00eb njoh\u00eb n\u00eb shprehjen fillestare dhe pastaj t\u00eb p\u00ebrdor\u00eb tre formula:<\/p>\n<ul>\n<li>Katrori i shum\u00ebs<\/li>\n<li>Dallimi i katror\u00ebve<\/li>\n<li>Kursimi i faktor\u00ebve t\u00eb thjesht\u00eb<\/li>\n<\/ul>\n<p>\nN\u00eb shkoll\u00ebn e zakonshme, n\u00eb algjeb\u00ebr, pothuajse gjith\u00eb koha merreshim me k\u00ebt\u00eb lloj transformimi t\u00eb shprehjeve. N\u00eb universitet n\u00eb matematik\u00ebn e lart\u00eb, asgj\u00eb nuk ishte thell\u00ebsisht e ndryshme. Na u tregua si t\u00eb merrnim derivatat (integralet etj.) dhe na dhan\u00eb nj\u00eb sasi t\u00eb madhe detyrash. A ishte e dobishme? Sipas mendimit tim \u2013 po. Si rezultat i kryerjes s\u00eb atyre ushtrimeve:<\/p>\n<ol>\n<li>U p\u00ebrmir\u00ebsua aft\u00ebsia p\u00ebr t\u00eb transformuar shprehjet.<\/li>\n<li>U zhvillua v\u00ebmendja ndaj detajeve.<\/li>\n<li>U formua nj\u00eb ideal \u2013 nj\u00eb shprehje e sakt\u00eb, p\u00ebr t\u00eb cil\u00ebn mund t\u00eb synohet.<\/li>\n<\/ol>\n<p>\nSipas mendimit tim, ekzistenca e nj\u00eb ideali t\u00eb till\u00eb, cil\u00ebsis\u00eb dhe aft\u00ebsis\u00eb \u00ebsht\u00eb shum\u00eb e dobishme n\u00eb pun\u00ebn e p\u00ebrditshme t\u00eb zhvilluesit. Sepse thjeshtimi i nj\u00eb shprehjeje, n\u00eb thelb, do t\u00eb thot\u00eb t\u00eb ndryshosh struktur\u00ebn e saj me q\u00ebllim q\u00eb ta b\u00ebsh t\u00eb kuptueshme, pa prekur kuptimin. A ju kujton di\u00e7ka kjo?<\/p>\n<p>Kjo \u00ebsht\u00eb praktikisht definicioni i refaktorizimit nga libri i Martin Fowler.<\/p>\n<p>N\u00eb vepr\u00ebn e tij, autori e formulon at\u00eb ndryshe:<\/p>\n<blockquote><p>Rifaktorizimi (Refactoring) (nom.): ndryshimi n\u00eb struktur\u00ebn e brendshme t\u00eb softuerit, me q\u00ebllim q\u00eb t\u00eb leht\u00ebsohet kuptimi i pun\u00ebs s\u00eb tij dhe t\u00eb thjeshtohet modifikimi, pa prekur sjelljen e dukshme.\n<\/p><\/blockquote>\n<blockquote><p>T\u00eb b\u00ebsh rifaktorizim (Refactor) (folje.): ndryshimi i struktur\u00ebs s\u00eb softuerit, duke aplikuar nj\u00eb num\u00ebr rifaktorizimesh, pa prekur sjelljen e tij.\n<\/p><\/blockquote>\n<p>N\u00eb lib\u00ebr jepen \"formula\", t\u00eb cilat duhet t\u00eb njohim n\u00eb kodin burimor dhe rregullat e tyre t\u00eb transformimit.<\/p>\n<p>Si nj\u00eb shembull t\u00eb thjesht\u00eb, do t\u00eb p\u00ebrmend \"hyrjen e nj\u00eb variabli shpjegues\" nga libri:<\/p>\n<pre><code class=\"plaintext\">if ( (platform.toUpperCase().indexOf(\"MAC\") &gt; -1 ) &amp;&amp;\n    (browser.toUpperCase().indexOf(\"IE\") &gt; -1 )&amp;&amp;\n    wasInitialized() &amp;&amp; resize &gt; 0 ) {\n    \/\/ b\u00ebj di\u00e7ka\n}<\/code><\/pre>\n<p>\nPjes\u00ebt e shprehjes duhet t\u00eb regjistrohen n\u00eb nj\u00eb variab\u00ebl, emri i s\u00eb cil\u00ebs shpjegon q\u00ebllimin e saj.<\/p>\n<pre><code class=\"plaintext\">final boolean isMacOS = platform.toUpperCase().indexOf(\"MAC\") &gt; -1;\nfinal boolean isIEBrowser = browser.toUpperCase().indexOf(\"IE\") &gt; -1;\nfinal boolean isResized = resize &gt; 0;\nif(isMacOS &amp;&amp; isIEBrowser &amp;&amp; wasInitialized() &amp;&amp; isResized) {\n   \/\/ b\u00ebj di\u00e7ka\n}\n<\/code><\/pre>\n<p>\nImagjinoni nj\u00eb njeri, i cili nuk mund t\u00eb thjeshtoj\u00eb shprehjet algebraike duke p\u00ebrdorur formul\u00ebn e katrorit t\u00eb shum\u00ebs dhe diferenc\u00ebs s\u00eb katror\u00ebve.<\/p>\n<p>Si mendoni, a mund ta rifaktorizoj\u00eb kodin ky njeri?<\/p>\n<p>A mund t\u00eb shkruaj\u00eb ai ndonj\u00ebher\u00eb kod t\u00eb kuptuesh\u00ebm p\u00ebr t\u00eb tjer\u00ebt, n\u00ebse nuk e ka formuar nj\u00eb ideal t\u00eb sakt\u00ebsis\u00eb? Sipas mendimit tim \u2013 jo.<\/p>\n<p>Megjithat\u00eb, n\u00eb shkoll\u00eb m\u00ebsojn\u00eb t\u00eb gjith\u00eb, nd\u00ebrsa programuesit b\u00ebhen nj\u00eb pakic\u00eb. A \u00ebsht\u00eb i dobish\u00ebm aft\u00ebsia p\u00ebr t\u00eb transformuar shprehjet p\u00ebr njer\u00ebzit e zakonsh\u00ebm? Mendoj se po. Vet\u00ebm se aft\u00ebsia aplikohet n\u00eb nj\u00eb form\u00eb m\u00eb abstrakte: duhet t\u00eb vler\u00ebsosh situat\u00ebn dhe t\u00eb zgjedh\u00ebsh veprimin e m\u00ebtejsh\u00ebm n\u00eb m\u00ebnyr\u00eb q\u00eb t\u00eb afrohesh me q\u00ebllimin. N\u00eb pedagogji, ky fenomen quhet <noindex><a rel=\"nofollow\" href=\"https:\/\/current_pedagogy.academic.ru\/1191\/\">transferimi (i aft\u00ebsis\u00eb)<\/a><\/noindex>.<\/p>\n<p>Shembujt m\u00eb t\u00eb duksh\u00ebm shfaqen gjat\u00eb riparimeve t\u00eb sht\u00ebpis\u00eb me mjete t\u00eb disponueshme, n\u00eb nj\u00eb m\u00ebnyr\u00eb \"kolkhoze\". Si rezultat shfaqen ato \"truqe\" dhe lifehacks, nj\u00eb prej t\u00eb cil\u00ebve \u00ebsht\u00eb ilustruar n\u00eb KPDV. Autori i ideve kishte nj\u00eb cop\u00eb druri, nj\u00eb tel dhe kat\u00ebr vida. Duke menduar p\u00ebr modelin e patronit p\u00ebr llamb\u00eb, ai e p\u00ebrfundoi at\u00eb n\u00eb nj\u00eb patron t\u00eb vet\u00ebb\u00ebr\u00eb.<\/p>\n<p>Edhe kur udh\u00ebton me automjet, drejtuesi merret vazhdimisht me njohjen e modeleve n\u00eb bot\u00ebn p\u00ebrreth dhe kryerjen e manovrave p\u00ebrkat\u00ebse p\u00ebr t\u00eb arritur n\u00eb q\u00ebllim.<\/p>\n<blockquote><p>Kur vdes, ti nuk e di, vet\u00ebm t\u00eb tjer\u00ebt e kan\u00eb t\u00eb v\u00ebshtir\u00eb. E nj\u00ebjta gj\u00eb ndodh kur nuk ke m\u00ebsuar matematik\u00ebn...<\/p><\/blockquote>\n<p>\u00c7far\u00eb ndodh n\u00ebse nj\u00eb person nuk arrin t\u00eb zot\u00ebroj\u00eb transformimin e shprehjeve? Nga her\u00eb pas here, un\u00eb mbaj m\u00ebsime individuale me student\u00eb q\u00eb kan\u00eb pasur v\u00ebshtir\u00ebsi me matematik\u00ebn n\u00eb shkoll\u00eb. Zakonisht, ata bllokohen plot\u00ebsisht n\u00eb tem\u00ebn e cikleve. Aq sa me ta duhet t\u00eb merremi me \"algebr\u00ebn\", por n\u00eb gjuh\u00ebn e programimit.<br \/>\nKjo ndodh sepse kur shkruhen ciklet, teknika kryesore \u00ebsht\u00eb t\u00eb transformosh nj\u00eb grup shprehjesh t\u00eb ngjashme.<\/p>\n<p>Supozoni se rezultati i pun\u00ebs s\u00eb programit duhet t\u00eb duket k\u00ebshtu:<\/p>\n<blockquote><p>Hyrje<br \/>\nKapitulli 1<br \/>\nKapitulli 2<br \/>\nKapitulli 3<br \/>\nKapitulli 4<br \/>\nKapitulli 5<br \/>\nKapitulli 6<br \/>\nKapitulli 7<br \/>\nP\u00ebrfundim<\/p><\/blockquote>\n<p> Nj\u00eb program trivial p\u00ebr t\u00eb arritur k\u00ebt\u00eb rezultat duket k\u00ebshtu:<\/p>\n<pre><code class=\"cs\">static void Main(string[] args)\n{\n    Console.WriteLine(\"Hyrje\");\n    Console.WriteLine(\"Kapitulli 1\");\n    Console.WriteLine(\"Kapitulli 2\");\n    Console.WriteLine(\"Kapitulli 3\");\n    Console.WriteLine(\"Kapitulli 4\");\n    Console.WriteLine(\"Kapitulli 5\");\n    Console.WriteLine(\"Kapitulli 6\");\n    Console.WriteLine(\"Kapitulli 7\");\n    Console.WriteLine(\"P\u00ebrfundimi\");\n}<\/code><\/pre>\n<p>\nPor kjo zgjidhje \u00ebsht\u00eb larg idealit t\u00eb lakonish\u00ebm. S\u00eb pari, n\u00eb t\u00eb duhet t\u00eb gjejm\u00eb grupin e veprimeve q\u00eb p\u00ebrs\u00ebriten dhe m\u00eb pas ta transformojm\u00eb. N\u00eb fund do t\u00eb rezultoj\u00eb nj\u00eb zgjidhje e till\u00eb:<\/p>\n<pre><code class=\"cs\">static void Main(string[] args)\n{\n    Console.WriteLine(\"Hyrje\");\n    for (int i = 1; i &lt;= 7; i++)\n    {\n        Console.WriteLine(&quot;Kapitulli &quot; + i);\n    }\n    Console.WriteLine(&quot;P\u00ebrfundimi&quot;);\n}<\/code><\/pre>\n<p>\nN\u00ebse nj\u00eb person nuk e ka zot\u00ebruar matematik\u00ebn n\u00eb koh\u00ebn e duhur, at\u00ebher\u00eb nuk do t\u00eb mund t\u00eb kryej\u00eb transformime t\u00eb tilla. Ai thjesht nuk do t\u00eb ket\u00eb aft\u00ebsin\u00eb p\u00ebrkat\u00ebse. Pik\u00ebrisht p\u00ebr k\u00ebt\u00eb arsye tema e cikleve \u00ebsht\u00eb pengesa e par\u00eb n\u00eb edukimin e nj\u00eb zhvilluesi.<\/p>\n<p>Probleme t\u00eb ngjashme shfaqen edhe n\u00eb fusha t\u00eb tjera. N\u00ebse nj\u00eb person nuk di t\u00eb p\u00ebrdor\u00eb mjetin p\u00ebrkat\u00ebs, atij do t'i mungoj\u00eb shkatht\u00ebsia p\u00ebr t\u00eb treguar mendje t\u00eb mpreht\u00eb n\u00eb jet\u00eb. Klloun\u00ebt do t\u00eb thon\u00eb se duar t\u00eb k\u00ebqija kan\u00eb dal\u00eb. N\u00eb rrug\u00eb kjo shfaqet n\u00eb paaft\u00ebsin\u00eb p\u00ebr t\u00eb vler\u00ebsuar situat\u00ebn sakt\u00eb dhe p\u00ebr t\u00eb zgjedhur manovr\u00ebn. \u00c7ka ndonj\u00ebher\u00eb mund t\u00eb \u00e7oj\u00eb n\u00eb pasoja fatale.<\/p>\n<p>P\u00ebrfundimet:<\/p>\n<ol>\n<li>Matematika shkollore dhe universitare na nevojitet p\u00ebr t\u00eb ditur si ta b\u00ebjm\u00eb bot\u00ebn m\u00eb t\u00eb mir\u00eb me mjetet q\u00eb kemi.<\/li>\n<li>N\u00ebse jeni n\u00eb proces t\u00eb m\u00ebsimit dhe p\u00ebrballeni me v\u00ebshtir\u00ebsi n\u00eb studimin e cikleve, provoni t\u00eb ktheheni te baza \u2014 algebra shkollore. Merrni nj\u00eb lib\u00ebr problemesh p\u00ebr klas\u00ebn e 9-t\u00eb dhe zgjidhni shembuj nga ai.<\/li>\n<\/ol>\n<p>Burimi: <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 5.0.2 - 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\/sq\/blog\/news\/vot-zachem-nuzhna-shkolnaya-algebra\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 5.0.2\" \/>\n\t\t<meta property=\"og:locale\" content=\"sq_AL\" \/>\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\/sq\/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\udd47Kjo \u00ebsht\u00eb arsyeja pse na nevojitet algebra shkollore | ProHoster","description":"Zakonisht, kur pyetet \"pse na nevojitet matematika?\" p\u00ebrgjigjen di\u00e7ka si \"gatishm\u00ebri p\u00ebr mendjen\". 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