{"id":2139258,"date":"2026-09-11T05:13:19","date_gmt":"2026-09-11T02:13:19","guid":{"rendered":"https:\/\/analyse.optim.biz\/?p=2139258"},"modified":"2026-09-11T05:13:19","modified_gmt":"2026-09-11T02:13:19","slug":"problema-pe-care-ar-trebui-sa-o-rezolve-orice-elev-de-15-ani-dar-care-ii-pune-in-dificultate-chiar-si-pe","status":"publish","type":"post","link":"https:\/\/analyse.optim.biz\/?p=2139258","title":{"rendered":"Problema pe care ar trebui s\u0103 o rezolve orice elev de 15 ani, dar care \u00eei pune \u00een dificultate chiar \u0219i pe&#8230;"},"content":{"rendered":"<p>[analyse_image type=&#8221;featured&#8221; src=&#8221;https:\/\/cdn.adh.reperio.news\/image-7\/7903516d-9ef9-41e2-b79f-fe9fcbe2d671\/index.jpeg?p=f%3Djpeg%26w%3D1200%26h%3D630%26r%3Dcover%26c%3D0%252C0%252C1%252C0.786&#8243;]<\/p>\n<article class=\"svelte-x63bga\">\n<nav>\n<ul class=\"breadcrump svelte-1pk9a69\">\n<li class=\"svelte-1pk9a69\"><a href=\"https:\/\/adevarul.ro\/\" title=\"Adev\u0103rul\" class=\"svelte-1pk9a69\">Home<\/a><\/li>\n<li class=\"svelte-1pk9a69\"><a href=\"https:\/\/adevarul.ro\/stiri-interne\" class=\"svelte-1pk9a69\">\u0218tiri Interne<\/a><\/li>\n<li class=\"svelte-1pk9a69\"><a href=\"https:\/\/adevarul.ro\/stiri-interne\/educatie\" class=\"svelte-1pk9a69\">Educa\u021bie<\/a><\/li>\n<li class=\"svelte-1pk9a69\"><a href=\"https:\/\/adevarul.ro\/stiri-interne\/educatie\/problema-pe-care-ar-trebui-sa-o-rezolve-orice-elev-2556813.html\" class=\"svelte-1pk9a69\">Problema pe care ar trebui s\u0103 o rezolve orice elev de 15 ani, dar care \u00eei pune \u00een dificultate chiar \u0219i pe adul\u021bi<\/a><\/li>\n<\/ul>\n<\/nav>\n<p><main class=\"svelte-x63bga\"><\/p>\n<p>O problem\u0103 aparent simpl\u0103 de matematic\u0103, inspirat\u0103 din situa\u021bii cotidiene, poate pune \u00een dificultate un num\u0103r foarte mare de elevi rom\u00e2ni. Profesorul \u0219i expertul \u00een educa\u021bie Drago\u0219 Iliescu sus\u021bine c\u0103 \u00een jur de jum\u0103tate dintre elevii rom\u00e2ni de 15 ani nu reu\u0219esc s\u0103 rezolve astfel de exerci\u021bii atunci c\u00e2nd acestea sunt formulate \u00een limbaj natural.<\/p>\n<div class=\"container-image  svelte-1xbw4f3\"><source type=\"image\/webp\" srcset=\"https:\/\/cdn.adh.reperio.news\/image-7\/7903516d-9ef9-41e2-b79f-fe9fcbe2d671\/index.jpeg?p=a%3D1%26co%3D1.05%26w%3D1400%26h%3D750%26r%3Dcontain%26c%3D0%252C0%252C1%252C0.786%26f%3Dwebp 1400w\" media=\"(min-width: 1400px)\" \/><\/p>\n<div class=\"caption svelte-1xbw4f3\"><span class=\"captionText svelte-1xbw4f3\">Testele de matematic\u0103 \u00eei pun \u00een dificultate pe elevii rom\u00e2ni <span class=\"source svelte-1xbw4f3\">Foto: Arhiv\u0103, adev\u0103rul<\/span><\/span><\/div>\n<\/div>\n<p>Drago\u0219 Iliescu a dat ca exemplu o problem\u0103 de tip PISA care nu presupune calcule complicate, dar care \u00eei oblig\u0103 pe elevi s\u0103 \u00een\u021beleag\u0103 situa\u021bia prezentat\u0103 \u0219i s\u0103 o transforme \u00eentr-un calcul matematic.<\/p>\n<p><i>\u201e\u00cen Gala\u021bi au fost 6 grade diminea\u021b\u0103. La T\u00e2rgovi\u0219te au fost -3 grade. Care este diferen\u021ba de temperatur\u0103 dintre Gala\u021bi \u0219i T\u00e2rgovi\u0219te?\u201d,<\/i> este problema prezentat\u0103 de profesor, \u00een emisiunea \u201e\u00cen fa\u021ba ta\u201d de la Digi24, relateaz\u0103\u00a0<a href=\"https:\/\/republica.ro\/problema-banala-de-matematica-la-care-dintre-copiii-de-15-ani-din-romania-nu-pot-raspunde-si-din\" rel=\"nofollow\">Republica.\u00a0<\/a><\/p>\n<p>Potrivit lui Drago\u0219 Iliescu, dificultatea apare \u00eens\u0103 atunci c\u00e2nd elevul trebuie s\u0103 identifice singur opera\u021bia pornind de la descrierea unei situa\u021bii reale.<\/p>\n<p><i>\u201e\u0218i sigur, ar trebui s\u0103 spun\u0103 9 grade \u0219i o cantitate imens\u0103 din \u0219colarii no\u0219tri nu pot s\u0103 rezolve aceast\u0103 problem\u0103. Dac\u0103 tu spui 6 minus -3, vor putea s\u0103 rezolve ecua\u021bia. Dac\u0103 o pui \u00een limbaj natural, nu o s\u0103 poat\u0103\u201d,<\/i> a explicat expertul \u00een educa\u021bie.<\/p>\n<h2>Problemele din via\u021ba real\u0103 nu vin sub forma unor ecua\u021bii<\/h2>\n<p>Profesorul a subliniat c\u0103 test\u0103rile PISA urm\u0103resc tocmai capacitatea elevilor de a folosi cuno\u0219tin\u021bele \u00een situa\u021bii concrete, nu doar de a efectua opera\u021bii atunci c\u00e2nd acestea le sunt indicate.<\/p>\n<p><i>\u201ePISA testeaz\u0103 probleme de via\u021b\u0103 cotidian\u0103, \u00een limbaj cotidian. Asta le face u\u0219or atipice pentru \u0219coala din Rom\u00e2nia\u201d,<\/i> a spus Drago\u0219 Iliescu.<\/p>\n<p>Acesta a oferit \u0219i un al doilea exemplu, mult mai simplu.\u00a0<i>\u201eM-am dus p\u00e2n\u0103 la pia\u021b\u0103 ca s\u0103 cump\u0103r 2 kg de ro\u0219ii \u0219i 1 kg de castrave\u021bi. C\u00e2te kilograme de legume am cump\u0103rat? E at\u00e2t de simplu. Dac\u0103 \u00ee\u021bi spun 2+1, toat\u0103 lumea poate s\u0103 rezolve 2+1.<\/i><i>Deci probleme de genul acesta sunt \u0219i, sigur, unele sunt u\u0219or mai complicate\u201d<\/i>, a explicat profesorul.<\/p>\n<p>Problema apare atunci c\u00e2nd elevul trebuie s\u0103 \u00een\u021beleag\u0103 textul \u0219i s\u0103 \u00ee\u0219i dea seama singur c\u0103 situa\u021bia descris\u0103 presupune o adunare.<\/p>\n<p>Drago\u0219 Iliescu a explicat c\u0103\u00a0<a href=\"https:\/\/adevarul.ro\/stiri-interne\/educatie\/praf-e-educatia-nu-generatia-dan-negru-ia-2555303.html\">rezultatele PISA<\/a>\u00a0nu se rezum\u0103 la o simpl\u0103 \u00eemp\u0103r\u021bire \u00eentre elevii care sunt sau nu sunt \u201eanalfabe\u021bi func\u021bional\u201d. Testarea presupune \u0219ase niveluri de competen\u021b\u0103.<\/p>\n<p><i>\u201eLa PISA, nu se m\u0103soar\u0103 doar diferen\u021ba dintre analfabetismul func\u021bional \u0219i func\u021bionare, ci sunt 6 niveluri pe care m\u0103sur\u0103m. Sub nivelul 2 \u00eenseamn\u0103 analfabetism \u0219i asta este zona despre care vorbeam \u00eenainte\u201d<\/i>, a afirmat acesta.<\/p>\n<p>Potrivit expertului, atingerea nivelului minim de func\u021bionare poate suna ca o formulare abstract\u0103, \u00eens\u0103 implica\u021biile sunt mult mai concrete.\u00a0<\/p>\n<p><i>\u201eBun, deci faptul c\u0103 nu ating nivelul minim de func\u021bionare sun\u0103 foarte vag \u0219i u\u0219or neutru, mai degrab\u0103. Dar realitatea este c\u0103 jum\u0103tate, mai mult de jum\u0103tate (&#8230;) dintre elevii rom\u00e2ni nu sunt func\u021bionali \u00een rela\u021bie cu astfel de probleme de via\u021b\u0103 cotidian\u0103 \u0219i probleme mai degrab\u0103 simple\u201d<\/i>, a explicat Drago\u0219 Iliescu.<\/p>\n<p>Declara\u021biile au fost f\u0103cute \u00een emisiunea \u201e\u00cen fa\u021ba ta\u201d, difuzat\u0103 de Digi24 \u0219i moderat\u0103 de Claudiu P\u00e2ndaru \u0219i Florin Negru\u021biu. Emisiunea poate fi urm\u0103rit\u0103 s\u00e2mb\u0103ta \u0219i duminica, de la ora 14.00.<\/p>\n<h2>Rom\u00e2nia, sub media OCDE la toate domeniile evaluate<\/h2>\n<p>Rom\u00e2nia r\u0103m\u00e2ne sub media \u021b\u0103rilor membre OCDE la toate domeniile evaluate \u00een cadrul PISA 2025, iar rezultatele eviden\u021biaz\u0103 probleme persistente ale\u00a0<a href=\"https:\/\/adevarul.ro\/stiri-interne\/educatie\/romania-cele-mai-slabe-rezultate-pisa-din-ultimii-2554817.html\">sistemului de educa\u021bie.<\/a>\u00a0Cele mai importante dificult\u0103\u021bi apar la competen\u021bele de lectur\u0103, unde scorul elevilor rom\u00e2ni a sc\u0103zut fa\u021b\u0103 de edi\u021bia precedent\u0103, dar \u0219i \u00een ceea ce prive\u0219te diferen\u021bele dintre elevii din mediul urban \u0219i cei din mediul rural, care ajung la aproape 100 de puncte.<\/p>\n<p>Elevii rom\u00e2ni au ob\u021binut, \u00een medie, 425 de puncte la \u0218tiin\u021be, 419 puncte la Matematic\u0103, 413 puncte la Lectur\u0103 \u0219i 442 de puncte la Rezolvarea computa\u021bional\u0103 a problemelor, un domeniu evaluat pentru prima dat\u0103 ca parte a componentei \u201e\u00cenv\u0103\u021barea \u00een lumea digital\u0103\u201d. Toate aceste rezultate se situeaz\u0103 sub mediile OCDE, ceea ce arat\u0103 decalajele pe care Rom\u00e2nia trebuie s\u0103 le recupereze \u00een raport cu standardele interna\u021bionale.<\/p>\n<p>Comparativ cu edi\u021bia precedent\u0103, rezultatele la \u0218tiin\u021be \u0219i Matematic\u0103 au r\u0103mas relativ stabile. \u00cen schimb, la Lectur\u0103 s-a \u00eenregistrat o sc\u0103dere de 16 puncte, ceea ce accentueaz\u0103 problemele privind nivelul competen\u021belor de \u00een\u021belegere a textului \u00een r\u00e2ndul elevilor.<\/p>\n<p>Datele PISA arat\u0103 c\u0103 mai pu\u021bin de jum\u0103tate dintre elevii rom\u00e2ni ating nivelul minim de competen\u021b\u0103, definit ca nivelul 2, la Matematic\u0103. Propor\u021bia este de 48% la Matematic\u0103, 52% la Lectur\u0103 \u0219i 54% la \u0218tiin\u021be, \u00een timp ce mediile OCDE sunt de 65%, 69% \u0219i, respectiv, 74%.<\/p>\n<p>\u0218i la nivelurile superioare de performan\u021b\u0103 diferen\u021bele sunt semnificative. Doar 2% dintre elevii rom\u00e2ni ating nivelul 5 sau 6 la \u0218tiin\u021be, 4% la Matematic\u0103 \u0219i 1% la Lectur\u0103, fa\u021b\u0103 de mediile OCDE de 7%, 8% \u0219i, respectiv, 6%.<\/p>\n<p><\/main><\/p>\n<footer class=\"svelte-x63bga\">\n<div class=\"related-wrap related-footer svelte-78g0vl\"><span class=\"related-label svelte-78g0vl\">Cite\u0219te \u0219i<\/span><a class=\"related svelte-78g0vl\" data-gtrack=\"{&quot;event&quot;:&quot;utm_click&quot;,&quot;data&quot;:{&quot;event_category&quot;:&quot;article_related&quot;}}\" href=\"https:\/\/adevarul.ro\/stiri-interne\/educatie\/romania-educata-e-tot-mai-inapoiata-rezultatele-2321838.html\" title=\"Alt articol de interes pentru tine\"><img decoding=\"async\" class=\"thumb svelte-78g0vl\" src=\"https:\/\/cdn.adh.reperio.news\/image-7\/786bd24f-9bb5-432f-b19c-861185e7aebc\/index.jpeg?p=f%3Dwebp%26w%3D120%26h%3D80%26r%3Dcover%26a%3D0\" alt loading=\"lazy\" width=\"80\" height=\"54\"><span class=\"title svelte-78g0vl\">Rom\u00e2nia educat\u0103 e tot mai \u00eenapoiat\u0103. Rezultatele PISA analizate de exper\u021bi<\/span><\/a><a class=\"related svelte-78g0vl\" data-gtrack=\"{&quot;event&quot;:&quot;utm_click&quot;,&quot;data&quot;:{&quot;event_category&quot;:&quot;article_related&quot;}}\" href=\"https:\/\/adevarul.ro\/stiri-interne\/educatie\/radiografia-unui-dezastru-national-expertii-2554952.html\" title=\"Alt articol de interes pentru tine\"><img decoding=\"async\" class=\"thumb svelte-78g0vl\" src=\"https:\/\/cdn.adh.reperio.news\/image-5\/5c346ce5-3d57-4737-a56e-5f26aca74e4c\/index.jpeg?p=f%3Dwebp%26w%3D120%26h%3D80%26r%3Dcover%26a%3D0\" alt loading=\"lazy\" width=\"80\" height=\"54\"><span class=\"title svelte-78g0vl\">Radiografia unui dezastru na\u021bional. Exper\u021bii desfiin\u021beaz\u0103 scuzele Ministerului dup\u0103 PISA: \u201eBlestemul mediocrit\u0103\u021bii endemice ne-a explodat \u00een fa\u021b\u0103\u201d<\/span><\/a><a class=\"related svelte-78g0vl\" data-gtrack=\"{&quot;event&quot;:&quot;utm_click&quot;,&quot;data&quot;:{&quot;event_category&quot;:&quot;article_related&quot;}}\" href=\"https:\/\/adevarul.ro\/stiri-interne\/educatie\/praf-e-educatia-nu-generatia-dan-negru-ia-2555303.html\" title=\"Alt articol de interes pentru tine\"><img decoding=\"async\" class=\"thumb svelte-78g0vl\" src=\"https:\/\/cdn.adh.reperio.news\/image-3\/3804a371-cc90-44d5-8f44-ca0f95b89129\/index.jpeg?p=f%3Dwebp%26w%3D120%26h%3D80%26r%3Dcover%26a%3D0\" alt loading=\"lazy\" width=\"80\" height=\"54\"><span class=\"title svelte-78g0vl\">\u201ePraf e educa\u021bia, nu genera\u021bia\u201d. Dan Negru ia ap\u0103rarea elevilor dup\u0103 testele PISA: \u201eC\u00e2\u021bi dintre mini\u0219tri le-ar trece?\u201d<\/span><\/a><\/div>\n<div class=\"meta svelte-x63bga\">\n<div class=\"authors svelte-x63bga\"><span class=\"names svelte-x63bga\"><a href=\"https:\/\/adevarul.ro\/author\/1889\" rel=\"author\" class=\"svelte-x63bga\">Cornelia Mazilu<\/a><\/span><\/p>\n<div class=\"_hydratable\" data-props=\"%7B%22showLive%22%3Atrue%7D\" data-context=\"%7B%22parentBlockColumnCount%22%3A%7B%22value%22%3A0%2C%22type%22%3A%22store%2Freadable%22%7D%2C%22parentBlockBackgroundColor%22%3A%7B%22type%22%3A%22store%2Freadable%22%7D%7D\" data-component=\"ShareButton\">\n<div class=\"shareButtons svelte-itwbrr\">\n<div class=\"liveSessions metaFont svelte-1maxmbf\"><span class=\"value svelte-1maxmbf\">1<\/span> live <\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"tags svelte-1l3vwp1\"><span class=\"tags-label metaFont svelte-1l3vwp1\">Cite\u0219te mai multe despre<\/span><\/p>\n<div class=\"tags-list svelte-1l3vwp1\"><a href=\"https:\/\/adevarul.ro\/tag\/profesor\" title=\"Ultimele \u0219tiri despre profesor\" class=\"tag-pill svelte-1l3vwp1\">profesor<\/a><a href=\"https:\/\/adevarul.ro\/tag\/matematica\" title=\"Ultimele \u0219tiri despre matematica\" class=\"tag-pill svelte-1l3vwp1\">matematica<\/a><a href=\"https:\/\/adevarul.ro\/tag\/problema\" title=\"Ultimele \u0219tiri despre problema\" class=\"tag-pill svelte-1l3vwp1\">problema<\/a><a href=\"https:\/\/adevarul.ro\/tag\/pisa\" title=\"Ultimele \u0219tiri despre pisa\" class=\"tag-pill svelte-1l3vwp1\">pisa<\/a><a href=\"https:\/\/adevarul.ro\/tag\/elevi%20romani\" title=\"Ultimele \u0219tiri despre elevi romani\" class=\"tag-pill svelte-1l3vwp1\">elevi romani<\/a><a href=\"https:\/\/adevarul.ro\/tag\/rezultate%20pisa\" title=\"Ultimele \u0219tiri despre rezultate pisa\" class=\"tag-pill svelte-1l3vwp1\">rezultate pisa<\/a><\/div>\n<\/div>\n<\/div>\n<p><a class=\"moreFromCategory svelte-x63bga\" href=\"https:\/\/adevarul.ro\/stiri-interne\/educatie\" title=\"Educa\u021bie\">Mai multe din <strong class=\"svelte-x63bga\">Educa\u021bie<\/strong> \u203a<\/a><\/footer>\n<\/article>\n<p>[analyse_source url=&#8221;https:\/\/adevarul.ro\/stiri-interne\/educatie\/problema-pe-care-ar-trebui-sa-o-rezolve-orice-elev-2556813.html&#8221;]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[analyse_image type=&#8221;featured&#8221; src=&#8221;https:\/\/cdn.adh.reperio.news\/image-7\/7903516d-9ef9-41e2-b79f-fe9fcbe2d671\/index.jpeg?p=f%3Djpeg%26w%3D1200%26h%3D630%26r%3Dcover%26c%3D0%252C0%252C1%252C0.786&#8243;] Home \u0218tiri Interne Educa\u021bie Problema pe care ar trebui s\u0103 o rezolve orice elev de 15 ani, dar care \u00eei pune \u00een dificultate chiar \u0219i pe adul\u021bi O problem\u0103 aparent simpl\u0103 de matematic\u0103, inspirat\u0103 din situa\u021bii cotidiene, poate pune \u00een dificultate un num\u0103r foarte mare de elevi rom\u00e2ni. Profesorul \u0219i expertul \u00een [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[89],"tags":[19,226],"class_list":["post-2139258","post","type-post","status-publish","format-standard","hentry","category-romania","tag-adevarul","tag-crawlmanager"],"_links":{"self":[{"href":"https:\/\/analyse.optim.biz\/index.php?rest_route=\/wp\/v2\/posts\/2139258","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/analyse.optim.biz\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/analyse.optim.biz\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/analyse.optim.biz\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/analyse.optim.biz\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2139258"}],"version-history":[{"count":0,"href":"https:\/\/analyse.optim.biz\/index.php?rest_route=\/wp\/v2\/posts\/2139258\/revisions"}],"wp:attachment":[{"href":"https:\/\/analyse.optim.biz\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2139258"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/analyse.optim.biz\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2139258"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/analyse.optim.biz\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2139258"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}