{"id":406,"date":"2015-11-03T15:35:47","date_gmt":"2015-11-03T15:35:47","guid":{"rendered":"http:\/\/www.jaumefarres.cat\/?p=406"},"modified":"2015-11-19T19:48:09","modified_gmt":"2015-11-19T19:48:09","slug":"igual-o-equivalent","status":"publish","type":"post","link":"https:\/\/www.jaumefarres.cat\/?p=406","title":{"rendered":"Igual o equivalent?"},"content":{"rendered":"<p>Penso que tal com es planteja el cas, la pol\u00e8mica suscitada als Estats Units com a conseq\u00fc\u00e8ncia d&#8217;un m\u00e8tode d&#8217;aprenentatge, sobre si 3 x 5 \u00e9s el mateix que 5 x 3, possiblement, el problema tingui el seu origen en la interpretaci\u00f3 i en l&#8217;\u00fas incorrecte del vocabulari matem\u00e0tic.<\/p>\n<p>En virtud de la propietat commutativa de la multiplicaci\u00f3, \u00e9s evident que 3 x 5 \u00e9s 15 i que 5 x 3 tamb\u00e9 \u00e9s 15. La q\u00fcesti\u00f3 s&#8217;ha de centrar en la utilitzaci\u00f3 del terme &#8220;igual&#8221; quan en realitat s&#8217;hauria d&#8217;emprar el terme &#8220;equivalent&#8221;. L&#8217;expressi\u00f3 correcta seria doncs, 3 x 5 \u00e9s &#8220;equivalent&#8221; a 5 x 3 i no pas &#8220;igual&#8221;, perqu\u00e8 una cosa \u00e9s ser &#8220;igual&#8221; i una altra cosa \u00e9s ser &#8220;equivalent&#8221; malgrat en general s&#8217;utilitza el terme &#8220;igual&#8221; de forma indiscriminada, especialment \u00a0en la vida quotidiana. En qualsevol cas, 3 + 3 + 3 + 3 + 3 \u00e9s 15 i 5 + 5 + 5 tamb\u00e9 \u00e9s 15. Des del punt de vista de c\u00e0lcul aritm\u00e8tic aquesta realitat no admet discussi\u00f3.<\/p>\n<p>Com exemple aclaratori, se m&#8217;acud el seg\u00fcent: un bitllet de 5 \u20ac t\u00e9 el mateix valor que 5 monedes d&#8217;1 \u20ac, i viceversa, per tant, s\u00f3n &#8220;equivalents&#8221; per\u00f2 no &#8220;iguals&#8221;.<\/p>\n<p style=\"text-align: right;\"><em>3\/11\/2015<\/em><\/p>\n<p><em><strong>Publicada en castell\u00e0 a El Peri\u00f3dico amb el t\u00edtol &#8220;La nueva pol\u00e9mica de EE.UU: 3 x 5, \u00bfigual o equivalente? el 6\/11\/2015<\/strong><\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Penso que tal com es planteja el cas, la pol\u00e8mica suscitada als Estats Units com a conseq\u00fc\u00e8ncia d&#8217;un m\u00e8tode d&#8217;aprenentatge, sobre si 3 x 5 \u00e9s el mateix que 5 x 3, possiblement, el problema tingui el seu origen en la interpretaci\u00f3 i en l&#8217;\u00fas incorrecte del vocabulari matem\u00e0tic. En virtud de la propietat commutativa [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[8],"tags":[],"_links":{"self":[{"href":"https:\/\/www.jaumefarres.cat\/index.php?rest_route=\/wp\/v2\/posts\/406"}],"collection":[{"href":"https:\/\/www.jaumefarres.cat\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.jaumefarres.cat\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.jaumefarres.cat\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.jaumefarres.cat\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=406"}],"version-history":[{"count":3,"href":"https:\/\/www.jaumefarres.cat\/index.php?rest_route=\/wp\/v2\/posts\/406\/revisions"}],"predecessor-version":[{"id":449,"href":"https:\/\/www.jaumefarres.cat\/index.php?rest_route=\/wp\/v2\/posts\/406\/revisions\/449"}],"wp:attachment":[{"href":"https:\/\/www.jaumefarres.cat\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=406"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.jaumefarres.cat\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=406"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.jaumefarres.cat\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=406"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}