{"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\/novosti-interneta\/vot-zachem-nuzhna-shkolnaya-algebra","title":{"rendered":"K\u00ebtu \u00ebsht\u00eb p\u00ebrse na nevojitet algebra e shkoll\u00ebs","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p>Zakoni Italisht dhe Korrespondenca nj\u00eb pyetje si \"p\u00ebrse na nevojitet matematika?\" zakonisht p\u00ebrgjigjen me di\u00e7ka si \"gimnastik\u00eb p\u00ebr mendjen\". N\u00eb mendimin tim, kjo shpjegim nuk \u00ebsht\u00eb e mjaftueshme. Kur nj\u00eb person b\u00ebn ushtrime fizike, ai e di emrin e sakt\u00eb t\u00eb grupeve t\u00eb muskujve q\u00eb jan\u00eb duke u zhvilluar. Por bisedat p\u00ebr matematik\u00ebn mbeten shum\u00eb abstrakte. Cilat \"muskuj t\u00eb mendjes\" zhvillohen me algjebr\u00ebn e shkoll\u00ebs? Ajo \u00ebsht\u00eb krejt ndryshe nga matematika e v\u00ebrtet\u00eb, n\u00eb t\u00eb cil\u00ebn b\u00ebhen zbulime t\u00eb m\u00ebdha. \u00c7far\u00eb na jep aft\u00ebsia p\u00ebr t\u00eb k\u00ebrkuar derivat\u00ebn e disa funksioneve t\u00eb nd\u00ebrlikuara?<\/p>\n<p>M\u00ebsimi i programimit p\u00ebr student\u00eb t\u00eb dob\u00ebt m\u00eb ka \u00e7uar te nj\u00eb p\u00ebrgjigje m\u00eb e sakt\u00eb p\u00ebr pyetjen \"p\u00ebrse?\". N\u00eb k\u00ebt\u00eb artikull, do t\u00eb mundohem t'ua qart\u00ebsoj k\u00ebt\u00eb.<\/p>\n<p><img decoding=\"async\" alt=\"K\u00ebtu \u00ebsht\u00eb p\u00ebrse na nevojitet algebra e shkoll\u00ebs\" 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, nj\u00eb sasi e konsiderueshme kohe i kushtohet transformimit dhe thjeshtimit t\u00eb shprehjeve. P\u00ebr shembull: 81\u00d72+126xy+49y2 duhet t\u00eb transformohet si (9x+7y)2.<\/p>\n<p>N\u00eb k\u00ebt\u00eb rast, 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 p\u00ebrse na nevojitet algebra e shkoll\u00ebs\" 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 p\u00ebrse na nevojitet algebra e shkoll\u00ebs\" 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 p\u00ebrse na nevojitet algebra e shkoll\u00ebs\" src=\"\/wp-content\/uploads\/2019\/07\/0aaa7d8b4dbf3d4c8e331a44088fc863.jpg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>\ndhe pastaj, me sakt\u00ebsimin (a + 2b) != 0, rezulton k\u00ebshtu.<\/p>\n<p><img decoding=\"async\" alt=\"K\u00ebtu \u00ebsht\u00eb p\u00ebrse na nevojitet algebra e shkoll\u00ebs\" 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 shprehjen fillestare dhe m\u00eb pas t\u00eb aplikohet tre formula:<\/p>\n<ul>\n<li>Shuma e katror\u00ebve<\/li>\n<li>Dallimi i katror\u00ebve<\/li>\n<li>Shk\u00ebputja e faktor\u00ebve t\u00eb nj\u00eb fraksioni t\u00eb zakonsh\u00ebm<\/li>\n<\/ul>\n<p>\nN\u00eb shkoll\u00ebn e zakonshme, n\u00eb algebr\u00ebn njihnim kryesisht t\u00eb till\u00eb transformime shprehjesh. N\u00eb universitetin n\u00eb matematik\u00ebn m\u00eb t\u00eb lart\u00eb, asgj\u00eb nuk ishte ndryshe. Na m\u00ebsuan si t\u00eb marrim derivatet (integralet etj.) dhe na dhan\u00eb nj\u00eb mal me detyra. A ishte e dobishme? N\u00eb mendimin tim \u2013 po. Si rezultat i k\u00ebtyre ushtrimeve:<\/p>\n<ol>\n<li>U zhvillua aft\u00ebsia e transformimit t\u00eb shprehjeve.<\/li>\n<li>U zhvillua v\u00ebmendja p\u00ebr detajet.<\/li>\n<li>U formua nj\u00eb ideal \u2013 nj\u00eb shprehje e shkurt\u00ebr, p\u00ebr t\u00eb cil\u00ebn mund t\u00eb synohet.<\/li>\n<\/ol>\n<p>\nN\u00eb mendimin tim, egzistenca e nj\u00eb ideali t\u00eb till\u00eb, cil\u00ebsie dhe aft\u00ebsie \u00ebsht\u00eb shum\u00eb e dobishme n\u00eb pun\u00ebn e p\u00ebrditshme t\u00eb zhvilluesit. Sepse, n\u00eb thelb, thjeshtimi i nj\u00eb shprehjeje do t\u00eb thot\u00eb t\u00eb ndryshosh struktur\u00ebn e saj me q\u00ebllim q\u00eb ta b\u00ebsh m\u00eb t\u00eb leht\u00eb kuptimin, pa prekur kuptimin. A t\u00eb kujton di\u00e7ka kjo?<\/p>\n<p>Kjo \u00ebsht\u00eb praktikisht p\u00ebrkufizimi i refaktorizimit nga libri i Martin Fowler.<\/p>\n<p>N\u00eb vepr\u00ebn e tij, autori i formulon ato n\u00eb k\u00ebt\u00eb m\u00ebnyr\u00eb:<\/p>\n<blockquote><p>Rifaktorizimi (Refactoring) (em\u00ebr): ndryshimi i struktur\u00ebs s\u00eb brendshme t\u00eb softuerit, me q\u00ebllim q\u00eb ta leht\u00ebsoj\u00eb kuptimin e funksionimit t\u00eb tij dhe ta thjeshtoj\u00eb modifikimin, pa prekur sjelljen e dukshme.\n<\/p><\/blockquote>\n<blockquote><p>T\u00eb b\u00ebsh rifaktorizim (Refactor) (folje): t\u00eb ndryshosh struktur\u00ebn e softuerit, duke aplikuar nj\u00eb s\u00ebr\u00eb rifaktorizimesh, pa ndikuar n\u00eb sjelljen e tij.\n<\/p><\/blockquote>\n<p>Libri ofron \"formula\" q\u00eb duhet t\u00eb njihen n\u00eb kodin burimor dhe rregullat p\u00ebr transformimin e tyre.<\/p>\n<p>Si nj\u00eb shembull t\u00eb thjesht\u00eb, do t\u00eb jap \"k\u00ebtu merrni nj\u00eb variable shpjeguese\" nga libri:<\/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    \/\/ 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(\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   \/\/ b\u00ebj di\u00e7ka\n}\n<\/code><\/pre>\n<p>\nImagjinoni nj\u00eb njeri q\u00eb nuk mund t\u00eb thjeshtoj\u00eb shprehjet algebraike duke p\u00ebrdorur formul\u00ebn p\u00ebr katrorin e shum\u00ebs dhe ndryshimit t\u00eb katror\u00ebve.<\/p>\n<p>\u00c7far\u00eb mendoni, a do t\u00eb mund\u00ebsonte ky njeri t\u00eb rifaktorizoj\u00eb kodin?<\/p>\n<p>A mund t\u00eb shkruaj\u00eb ai n\u00eb t\u00eb v\u00ebrtet\u00eb kod t\u00eb kuptuesh\u00ebm p\u00ebr t\u00eb tjer\u00ebt, n\u00ebse nuk ka formuar nj\u00eb ideal t\u00eb k\u00ebtij lloj konciziteti? N\u00eb mendimin tim \u2014 jo.<\/p>\n<p>Megjithat\u00eb, n\u00eb shkoll\u00eb m\u00ebsojn\u00eb t\u00eb gjith\u00eb, nd\u00ebrsa programues b\u00ebhen nj\u00eb pakic\u00eb. A \u00ebsht\u00eb e dobishme aft\u00ebsia p\u00ebr t\u00eb shnd\u00ebrruar 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\u00ebpassh\u00ebm n\u00eb m\u00ebnyr\u00eb q\u00eb t\u00eb afrohesh drejt q\u00ebllimit. N\u00eb pedagogji, ky fenomen quhet <noindex><a rel=\"nofollow\" href=\"https:\/\/current_pedagogy.academic.ru\/1191\/%D0%9F%D0%95%D0%A0%D0%95%D0%9D%D0%9E%D0%A1\">transferim (i aft\u00ebsive)<\/a><\/noindex>.<\/p>\n<p>Shembujt m\u00eb t\u00eb spikatur shfaqen gjat\u00eb riparimeve t\u00eb sht\u00ebpis\u00eb me mjete t\u00eb thjeshta, n\u00eb nj\u00eb m\u00ebnyr\u00eb \u00abkolhoze\u00bb. Si rezultat, shfaqen ato \u00abtruk\u00eb\u00bb dhe hile, nj\u00eb nga t\u00eb cilat \u00ebsht\u00eb ilustruar n\u00eb PKDV. Autori i ideve kishte nj\u00eb cop\u00eb druri, nj\u00eb tel dhe kat\u00ebr vida. Duke p\u00ebrmendur modelin e baz\u00ebs p\u00ebr llamb\u00ebn, ai e p\u00ebrbri nga k\u00ebto nj\u00eb baz\u00eb t\u00eb b\u00ebr\u00eb vet\u00eb.<\/p>\n<p>Pavar\u00ebsisht nga udh\u00ebtimi me transportin automobilistik, shoferi vazhdimisht merret me njohjen e modeleve n\u00eb bot\u00ebn p\u00ebrreth dhe realizimin e manovrave p\u00ebrkat\u00ebse p\u00ebr t\u00eb arritur n\u00eb destinacion.<\/p>\n<blockquote><p>Kur je i vdekur, 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 e ke zot\u00ebruar matematik\u00ebn...<\/p><\/blockquote>\n<p>\u00c7far\u00eb ndodh n\u00ebse nj\u00eb person nuk arrin t\u00eb zot\u00ebroj\u00eb transformimin e shprehjeve? Her\u00eb pas here, un\u00eb mbaj m\u00ebsime t\u00eb individ\u00ebve q\u00eb kan\u00eb pasur v\u00ebshtir\u00ebsi n\u00eb matematik\u00eb n\u00eb shkoll\u00eb. N\u00eb p\u00ebrgjith\u00ebsi, ata ngecin plot\u00ebsisht n\u00eb tem\u00ebn mbi ciklet. Mjaft saq\u00eb 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 pik\u00ebrisht t\u00eb transformosh nj\u00eb grup shprehjesh t\u00eb nj\u00ebjta.<\/p>\n<p>Supozoni se rezultati i pun\u00ebs s\u00eb programit duhet t\u00eb duket k\u00ebshtu:<\/p>\n<blockquote><p>Hyrje<br \/>\nKreu 1<br \/>\nKreu 2<br \/>\nKreu 3<br \/>\nKreu 4<br \/>\nKapitulli 5<br \/>\nKreu 6<br \/>\nKreu 7<br \/>\nP\u00ebrfundimi<\/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(\"Kreu 1\");\n    Console.WriteLine(\"Kreu 2\");\n    Console.WriteLine(\"Kreu 3\");\n    Console.WriteLine(\"Kreu 4\");\n    Console.WriteLine(\"Kreu 5\");\n    Console.WriteLine(\"Kreu 6\");\n    Console.WriteLine(\"Kreu 7\");\n    Console.WriteLine(\"P\u00ebrfundim\");\n}<\/code><\/pre>\n<p>\nPor kjo zgjidhje \u00ebsht\u00eb shum\u00eb larg ideales s\u00eb shkurt\u00ebr. S\u00eb pari, duhet t\u00eb gjenden grupet e p\u00ebrs\u00ebritura t\u00eb veprimeve dhe pastaj t\u00eb transformohen. Si rezultat, do t\u00eb kemi nj\u00eb zgjidhje t\u00eb 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 m\u00ebsuar matematik\u00ebn n\u00eb koh\u00ebn e duhur, at\u00ebher\u00eb nuk do t\u00eb jet\u00eb n\u00eb gjendje t\u00eb kryej\u00eb transformime t\u00eb tilla. Ai thjesht nuk do t\u00eb ket\u00eb aft\u00ebsin\u00eb e duhur. Prandaj, tema e cikleve \u00ebsht\u00eb nj\u00eb nga pengesat e para n\u00eb m\u00ebsimin e zhvilluesit.<\/p>\n<p>Probleme t\u00eb ngjashme ndodhin edhe n\u00eb fusha t\u00eb tjera. N\u00ebse nj\u00eb person nuk \u00ebsht\u00eb n\u00eb gjendje t\u00eb p\u00ebrdor\u00eb mjetet e duhura, ai nuk do t\u00eb jet\u00eb n\u00eb gjendje t\u00eb tregoj\u00eb men\u00e7uri t\u00eb zakonshme. Disa mund t\u00eb thon\u00eb se duar t\u00eb tij jan\u00eb nga nj\u00eb vend i gabuar. N\u00eb rrug\u00eb, kjo shfaqet n\u00eb pap\u00ebrvoj\u00ebn p\u00ebr t\u00eb vler\u00ebsuar sakt\u00eb situat\u00ebn dhe p\u00ebr t\u00eb zgjedhur manovr\u00ebn. \u00c7ka ndonj\u00ebher\u00eb mund t\u00eb \u00e7oj\u00eb n\u00eb pasoja tragjike.<\/p>\n<p>Konkluzione:<\/p>\n<ol>\n<li>Matematika shkollore dhe universitare na nevojitet q\u00eb t\u00eb dim\u00eb si ta b\u00ebjm\u00eb bot\u00ebn m\u00eb t\u00eb mir\u00eb me mjetet q\u00eb kemi.<\/li>\n<li>N\u00ebse jeni duke m\u00ebsuar dhe keni probleme me ciklet, provoni t\u00eb ktheheni te burimet e para \u2014 algebra e shkoll\u00ebs. Merrni nj\u00eb lib\u00ebr ushtrimesh 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-novosti-interneta"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.0.1 - 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. \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? 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\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\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/prohoster.info\/sq\/blog\/novosti-interneta\/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\udd47Ja pse na nevojitet algebra shkollore | ProHoster","description":"Zakonisht, p\u00ebr pyetjen \"p\u00ebrse \u00ebsht\u00eb e nevojshme matematika?\" p\u00ebrgjigjen di\u00e7ka si \"gjimnastik\u00eb p\u00ebr mendjen\". Sipas mendimit tim, ky shpjegim nuk \u00ebsht\u00eb i mjaftuesh\u00ebm. Kur nj\u00eb person b\u00ebn 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 \"muskujt e mendjes\" konkretisht st\u00ebrviten me algjebr\u00ebn shkollore? Ajo nuk i ngjan aspak asaj t\u00eb v\u00ebrtet\u00ebs.","canonical_url":"https:\/\/prohoster.info\/sq\/blog\/novosti-interneta\/vot-zachem-nuzhna-shkolnaya-algebra","robots":"max-image-preview:large","keywords":"","webmasterTools":{"miscellaneous":""},"schema":null,"og:locale":"sq_AL","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. \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? 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