{"id":39339,"date":"2019-02-15T14:09:29","date_gmt":"2019-02-15T14:09:29","guid":{"rendered":"https:\/\/fundatiadanvoiculescu.ro\/?p=39339"},"modified":"2026-04-23T12:08:09","modified_gmt":"2026-04-23T09:08:09","slug":"matematica-o-excursie-care-dureaza-toata-viata","status":"publish","type":"post","link":"https:\/\/fundatiadanvoiculescu.ro\/en\/matematica-o-excursie-care-dureaza-toata-viata\/","title":{"rendered":"Matematica &#8211; o excursie care dureaz\u0103 toat\u0103 via\u021ba"},"content":{"rendered":"<p>\u00cen via\u021b\u0103 de zi cu zi, fiecare dintre noi suntem pu\u0219i, \u00een orice moment, s\u0103 lu\u0103m decizii. Totdeauna deciziile trebuie luate pornind de la o sum\u0103 de fapte deja cunoscute (ipoteze) \u0219i aceste decizii trebuie s\u0103 fie cele mai bune, mai ales pentru noi. Dintre toate obiectele pe care le studiem \u00een \u0219coal\u0103, matematica este poate singura care formeaz\u0103 astfel de competen\u021be \u0219i asta mai ales prin ra\u021bionamentele de geometrie.<\/p>\n<p>Cursul de Matematic\u0103 pentru Olimpici \u00ee\u0219i propune s\u0103 dezvolte ingeniozitatea, spiritul de ini\u021biativ\u0103, perspicacitatea \u0219i deduc\u021bia copiilor interesa\u021bi de cifre.\u00a0 \u00cen timpul orelor copiii descoper\u0103 c\u0103 matematica este o provocare la un duel al min\u021bii, c\u0103 pot descoperi, \u00een timpul discu\u021biilor libere la or\u0103, metode de rezolvare, cu for\u021be proprii, a exerci\u021biilor \u0219i problemelor considerate p\u00e2n\u0103 la \u00eenceperea orelor inabordabile.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Matematica este printre pu\u021binele obiecte de studiu unde lucr\u0103m cu abstrac\u021biuni pe care apoi le aplic\u0103m pe obiectele din jur \u0219i culmea, ele se \u0219i potrivesc<\/strong><\/p>\n<p>A \u00eencerca s\u0103 aduci argumente noi pentru a justifica necesitatea studiului matematicii \u00een \u0219coal\u0103 este o provocare.<\/p>\n<p>Indiferent de perioada istoric\u0103 la care ne raport\u0103m, nu se poate nega importan\u021ba cunoa\u0219terii matematicii \u00een dezvoltarea societ\u0103\u021bii \u0219i, \u00een particular, \u00een formarea unei persoane.<\/p>\n<p>Matematica trebuie privit\u0103 ca o excursie care dureaz\u0103 o via\u021b\u0103: \u00eencepe din primul moment c\u00e2nd copilul con\u0219tientizeaz\u0103 p\u0103r\u021bile componente ale corpului \u0219i analizeaz\u0103 mediul \u00eenconjurator prin asem\u0103n\u0103ri\/deosebiri ale unor teritorii de la foarte apropiate sie\u0219i, apoi din ce \u00een ce mai \u00eendep\u0103rtate. Deja la v\u00e2rsta de 12 \u201313 ani este necesar\u0103 o serie de acumul\u0103ri cantitative f\u0103r\u0103 de care nu am putea beneficia de grade de libertate (de mi\u0219care, ac\u021biune, g\u00e2ndire).<\/p>\n<p>Oricine trebuie s\u0103 fie capabil s\u0103 socoteasc\u0103 m\u0103car cu numere naturale \u0219i frac\u021bii zecimale finite; fiecare dintre noi are de pl\u0103tit cel pu\u021bin o factur\u0103.<\/p>\n<p>Calculul unui procent este de asemenea esen\u021bial pentru fiecare dintre noi, m\u0103car s\u0103 nu ne facem de r\u00e2s la televizor dac\u0103 trebuie s\u0103 calcul\u0103m TVA-ul.<\/p>\n<p>Aflarea unei arii sau a unui perimetru este de asemenea ceva ce trebuie cunoscut de c\u0103tre oricine.<\/p>\n<p>Toate aceste lucruri ar trebui s\u0103 fie deja cunoscute de c\u0103tre elevi p\u00e2na la v\u00e2rsta de 13 ani.<\/p>\n<p>Pe l\u00e2ng\u0103 aceste observa\u021bii cu privire la acumul\u0103rile cantitative, nu trebuie s\u0103 uit\u0103m\u00a0<u>rolul formativ al matematicii.<\/u><\/p>\n<p>&nbsp;<\/p>\n<p><strong>Matematica particip\u0103 cu mijloace proprii la modelarea personalit\u0103\u021bii<\/strong><\/p>\n<p><em>Matematica are un puternic rol educativ<\/em>. Ea este cea care implic\u0103 rigoare, argumentare, seriozitate (nu po\u021bi \u00eenv\u0103\u021ba din trei \u00een trei).<\/p>\n<p><em>Matematica particip\u0103 cu mijloace proprii la modelarea personalit\u0103\u021bii celui care o utilizeaz\u0103, nu numai sub aspect intelectual, ci \u0219i sub aspect estetic \u0219i moral.<\/em><\/p>\n<p>\u00cenv\u0103\u021barea matematicii exerseaz\u0103 judecata, \u00eel ajut\u0103 pe elev s\u0103 disting\u0103 adev\u0103rul \u0219tiin\u021bific de neadev\u0103r; antreneaz\u0103 organizarea logic\u0103 a g\u00e2ndirii, ordonarea ideilor, recunoa\u0219terea ipotezelor \u0219i a concluziilor.<\/p>\n<p>Matematica \u00eenva\u021b\u0103 elevul s\u0103 disting\u0103 diverse aspecte ale unei situa\u021bii, s\u0103 degajeze esen\u021bialul de neesen\u021bial, formeaz\u0103 aspectele aten\u021biei, antreneaz\u0103 memoria logic\u0103, antreneaz\u0103 analiza \u0219i sinteza.<\/p>\n<p><em>Matematica favorizeaz\u0103 dezvoltarea imagina\u021biei creatoare \u0219i ajut\u0103 la formarea unui sim\u021b critic constructiv.<\/em><\/p>\n<p><em>Matematica formeaz\u0103 spiritul \u0219tiin\u021bific caracterizat prin obiectivitate, precizie, gustul cercet\u0103rii fundamentate.<\/em><\/p>\n<p><em>Matematica este cea care cultiv\u0103 unele calit\u0103\u021bi ale exprim\u0103rii g\u00e2ndirii, cum ar fi: claritatea, ordinea, conciziunea, elegan\u021ba.<\/em><\/p>\n<p>Matematica dezvolt\u0103 deprinderi de recunoa\u0219tere \u0219i apreciere \u00een raport cu crea\u021bia artistic\u0103, a echilibrului arhitectural, reguli de compozi\u021bie pe care se bazeaz\u0103 artele plastice, ritmuri \u0219i structuri muzicale etc.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Matematica dezvolt\u0103 sensibilitate fa\u021b\u0103 de frumuse\u021bea formelor \u0219i organiz\u0103rii naturii \u0219i tehnicii<\/strong><\/p>\n<p>\u00cencep\u00e2nd de la organizarea \u0219i scrierea demonstra\u021biilor \u0219i p\u00e2n\u0103 la descoperirea unor rela\u021bii, studiul matematicii ofer\u0103 numeroase elemente similare cu criteriile de apreciere ale frumosului.<\/p>\n<p>Din perspectiva\u00a0<em><strong>dezvolt\u0103rii morale<\/strong><\/em>\u00a0matematica \u00eencearc\u0103:<\/p>\n<ul>\n<li>s\u0103 formeze gustul pentru adev\u0103r, obiectivitate, creativitate;<\/li>\n<li>s\u0103 creeze nevoia de rigoare, discern\u0103m\u00e2nt \u0219i probarea ipotezelor;<\/li>\n<li>s\u0103 creeze nevoia de a cunoa\u0219te \u0219i de a \u00eentelege;<\/li>\n<li>s\u0103 formeze deprinderi de cercetare \u0219i investigare;<\/li>\n<li>s\u0103 stimuleze voin\u021ba de a duce la cap\u0103t un lucru \u00eenceput;<\/li>\n<li>s\u0103 pre\u00eent\u00e2mpine adoptarea unei atitudini nemotivate \u0219i \u00eent\u00e2mpl\u0103toare (neargumentate).<\/li>\n<\/ul>\n<p>Deci, \u00eenv\u0103\u021barea matematicii, \u00een deplin acord cu predarea ei, datorit\u0103 apelului profund \u0219i extrem de nuan\u021bat la procedee logice, necesit\u0103 un stil de munc\u0103 adecvat; rezultatele \u00een aceste \u00eencercari depind nu numai de efortul privit \u00een sens cantitativ (volum de munc\u0103, volum de timp), ci mai ales de calitatea efortului depus.<\/p>\n<p>Din punct de\u00a0<strong><em>vedere practic,<\/em><\/strong>\u00a0matematica ne ajut\u0103 s\u0103 g\u00e2ndim logic \u00een situa\u021bii \u0219i contexte reale.<\/p>\n<p>Matematica ne ajut\u0103 s\u0103 \u0219tim s\u0103 formul\u0103m probleme, s\u0103 structur\u0103m solu\u021biile, s\u0103 execut\u0103m pa\u0219ii \u00een ordinea corespunz\u0103toare (algoritmizare), precum \u0219i s\u0103 evalu\u0103m solu\u021bia (optimizare, verificare).<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Matematica ne ajut\u0103 s\u0103 facem alegeri mai bune \u0219i are conexiuni cu arta, muzica \u0219i poezia<\/strong><\/p>\n<p>Matematica ne ajut\u0103 s\u0103 identific\u0103m modele \u0219i rela\u021bii. Dou\u0103 lucruri care ar p\u0103rea la prima vedere foarte diferite, se pot dovedi a fi matematic foarte asem\u0103n\u0103toare (izometrii).<\/p>\n<p>Matematica ne ajut\u0103 s\u0103 m\u0103sur\u0103m &#8211; timp, distan\u021be, bani, cantit\u0103\u021bile de g\u0103tit, materiale de construc\u021bii, etc.<\/p>\n<p>Matematica ne ajut\u0103 s\u0103 facem alegeri mai bune: alegem s\u0103 cump\u0103r\u0103m o ma\u0219in\u0103 pentru c\u0103 ea consum\u0103 mai pu\u021bin, alegem un credit mai avantajos, cump\u0103r\u0103m ac\u021biuni care au un randament mai bun.<\/p>\n<p>Matematica este esen\u021bial\u0103 \u00een \u0219tiin\u021bele naturale, cum ar fi chimia \u0219i fizica, dar este, de asemenea, important\u0103 \u0219i \u00een \u0219tiin\u021bele sociale, cum ar fi economia \u0219i sociologia. Cele mai multe specializ\u0103ri universitare au nevoie de c\u00e2t de pu\u021bin\u0103 matematic\u0103 (statistic\u0103 economic\u0103, statistic\u0103 medical\u0103).<\/p>\n<p>Matematica are conexiuni la subiecte la care nu te-ai a\u0219tepta &#8211; art\u0103, muzic\u0103, poezie.<\/p>\n<p>Tehnologia se schimb\u0103 at\u00e2t de rapid \u0219i nimeni nu poate prezice competen\u021bele de care au nevoie oamenii la locul lor de munc\u0103 sau \u00een raport cu via\u021ba de zi cu zi \u00een urm\u0103torii ani.\u00a0 Cei mai mul\u021bi profesori de matematic\u0103 ar fi dispu\u0219i s\u0103 parieze c\u0103 elevul bine preg\u0103tit la matematic\u0103 se va integra mai u\u0219or \u00eentr-un domeniu nou, bazat pe reguli \u0219i logic\u0103.<\/p>\n<p>Matematica poate fi \u0219i un domeniu distractiv. Am putea folosi matematica la jocuri, puzzle-uri \u0219i la deslu\u0219it mistere.<\/p>\n<p>Matematica ne ajut\u0103 s\u0103 g\u00e2ndim matur &#8211; aceasta promoveaz\u0103 luarea celor mai bune decizii.<\/p>\n<p>Matematica dezvolt\u0103 valori pozitive, cum ar fi perseveren\u021ba, rezisten\u021ba, persisten\u021ba, r\u0103bdarea.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Articol scris de profesorul coordonator al \u201dCursului de Matematic\u0103 pentru Olimpici\u201d, Ecaterina Urzic\u0103, profesor de matematic\u0103<\/strong><\/p>\n<span class=\"et_bloom_bottom_trigger\"><\/span>","protected":false},"excerpt":{"rendered":"<p>\u00cen via\u021b\u0103 de zi cu zi, fiecare dintre noi suntem pu\u0219i, \u00een orice moment, s\u0103 lu\u0103m decizii. Totdeauna deciziile trebuie luate pornind de la o sum\u0103 de fapte deja cunoscute (ipoteze) \u0219i aceste decizii trebuie s\u0103 fie cele mai bune, mai ales pentru noi. Dintre toate obiectele pe care le studiem \u00een \u0219coal\u0103, matematica este [&hellip;]<\/p>\n","protected":false},"author":13,"featured_media":39340,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[203,3368,116,3353,3070,261,3076,518],"tags":[],"class_list":["post-39339","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-clubul-de-excelenta-dan-voiculescu","category-cursuri-fdvdr-educatie-si-cultura","category-cursuri-si-ateliere","category-educatie-si-cultura","category-educatie","category-performante","category-proiecte","category-utile"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.9 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Matematica - o excursie care dureaz\u0103 toat\u0103 via\u021ba - Fundatia Dan Voiculescu pentru Dezvoltarea Romaniei<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/fundatiadanvoiculescu.ro\/en\/matematica-o-excursie-care-dureaza-toata-viata\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Matematica - o excursie care dureaz\u0103 toat\u0103 via\u021ba - Fundatia Dan Voiculescu pentru Dezvoltarea Romaniei\" \/>\n<meta property=\"og:description\" content=\"\u00cen via\u021b\u0103 de zi cu zi, fiecare dintre noi suntem pu\u0219i, \u00een orice moment, s\u0103 lu\u0103m decizii. Totdeauna deciziile trebuie luate pornind de la o sum\u0103 de fapte deja cunoscute (ipoteze) \u0219i aceste decizii trebuie s\u0103 fie cele mai bune, mai ales pentru noi. Dintre toate obiectele pe care le studiem \u00een \u0219coal\u0103, matematica este [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/fundatiadanvoiculescu.ro\/en\/matematica-o-excursie-care-dureaza-toata-viata\/\" \/>\n<meta property=\"og:site_name\" content=\"Fundatia Dan Voiculescu pentru Dezvoltarea Romaniei\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/fdvdr\/\" \/>\n<meta property=\"article:published_time\" content=\"2019-02-15T14:09:29+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-04-23T09:08:09+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/fundatiadanvoiculescu.ro\/wp-content\/uploads\/2019\/02\/PA065476.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"900\" \/>\n\t<meta property=\"og:image:height\" content=\"601\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Stefan Carmen\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Stefan Carmen\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"6 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/fundatiadanvoiculescu.ro\\\/matematica-o-excursie-care-dureaza-toata-viata\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/fundatiadanvoiculescu.ro\\\/matematica-o-excursie-care-dureaza-toata-viata\\\/\"},\"author\":{\"name\":\"Stefan Carmen\",\"@id\":\"https:\\\/\\\/fundatiadanvoiculescu.ro\\\/en\\\/#\\\/schema\\\/person\\\/f9f409a5d5268a5daac8f604a75f5efe\"},\"headline\":\"Matematica &#8211; 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