{"id":53,"date":"2014-09-15T15:21:03","date_gmt":"2014-09-15T15:21:03","guid":{"rendered":"http:\/\/www.matesxtu.es\/es\/?page_id=53"},"modified":"2014-09-20T20:31:14","modified_gmt":"2014-09-20T19:31:14","slug":"cps","status":"publish","type":"page","link":"https:\/\/www.matesxtu.es\/es\/cps\/","title":{"rendered":"CPS : CONCRETO, PICT\u00d3RICO, SIMB\u00d3LICO"},"content":{"rendered":"<p>Los problemas matem\u00e1ticos planteados se abordan en tres fases diferentes, cada uno con mayor grado de abstracci\u00f3n. El problema se manipula, se representa con dibujos y finalmente con n\u00fameros.<\/p>\n<p><a href=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/CPA_ES.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"292\" data-permalink=\"https:\/\/www.matesxtu.es\/es\/cps\/cpa_es\/\" data-orig-file=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/CPA_ES.png\" data-orig-size=\"470,170\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"CPA_ES\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/CPA_ES-300x108.png\" data-large-file=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/CPA_ES.png\" class=\"aligncenter size-full wp-image-292\" src=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/CPA_ES.png\" alt=\"CPA_ES\" width=\"470\" height=\"170\" srcset=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/CPA_ES.png 470w, https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/CPA_ES-300x108.png 300w\" sizes=\"auto, (max-width: 470px) 100vw, 470px\" \/><\/a><\/p>\n<p>CONCRETO: se pone a disposici\u00f3n del alumno el material manipulativo y le pedimos, por ejemplo, que primero coja 2 pieza y luego 3. A continuaci\u00f3n las pone todas juntas y, al final, cuando las cuenta todas juntas tiene 5.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"134\" data-permalink=\"https:\/\/www.matesxtu.es\/es\/cps\/concret3\/\" data-orig-file=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/concret3.png\" data-orig-size=\"340,393\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"concret3\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/concret3-259x300.png\" data-large-file=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/concret3.png\" class=\"aligncenter wp-image-134 size-medium\" src=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/concret3-259x300.png\" alt=\"concret3\" width=\"259\" height=\"300\" srcset=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/concret3-259x300.png 259w, https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/concret3.png 340w\" sizes=\"auto, (max-width: 259px) 100vw, 259px\" \/><\/p>\n<p>PICT\u00d3RICO: el alumno dibuja un modelo ilustrado para representar las cantidades y resolver el problema.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"135\" data-permalink=\"https:\/\/www.matesxtu.es\/es\/cps\/pictoric\/\" data-orig-file=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/pictoric.png\" data-orig-size=\"722,109\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"pictoric\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/pictoric-300x45.png\" data-large-file=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/pictoric.png\" class=\"aligncenter wp-image-135 size-medium\" src=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/pictoric-300x45.png\" alt=\"pictoric\" width=\"300\" height=\"45\" srcset=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/pictoric-300x45.png 300w, https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/pictoric.png 722w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>SIMB\u00d3LICO: cuando el alumno ya es capaz de identificar las magnitudes (3 y 2), las ha juntado (sumado) y ha llegado a un resultado\u2026 traduce la experiencia concreta y pict\u00f3rica en algoritmos \/ signos \/ n\u00fameros.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"136\" data-permalink=\"https:\/\/www.matesxtu.es\/es\/cps\/simbolic\/\" data-orig-file=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/simbolic.png\" data-orig-size=\"470,90\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"simbolic\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/simbolic-300x57.png\" data-large-file=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/simbolic.png\" class=\"aligncenter wp-image-136 size-medium\" src=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/simbolic-300x57.png\" alt=\"simbolic\" width=\"300\" height=\"57\" srcset=\"https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/simbolic-300x57.png 300w, https:\/\/www.matesxtu.es\/es\/wp-content\/uploads\/sites\/2\/2014\/09\/simbolic.png 470w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>En resumen, se empieza \u201ctocando\u201d el problema y se acaba con su representaci\u00f3n num\u00e9rica. Una mejor aproximaci\u00f3n a las matem\u00e1ticas.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Los problemas matem\u00e1ticos planteados se abordan en tres fases diferentes, cada uno con mayor grado de abstracci\u00f3n. El problema se manipula, se representa con dibujos y finalmente con n\u00fameros. CONCRETO: se pone a disposici\u00f3n del alumno el material manipulativo y le pedimos, por ejemplo, que primero coja 2 pieza y luego 3. A continuaci\u00f3n las [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-templates\/full-width.php","meta":{"jetpack_post_was_ever_published":false,"footnotes":""},"class_list":["post-53","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>CPS : CONCRETO, PICT\u00d3RICO, SIMB\u00d3LICO - MATESxTU educaci\u00f3n<\/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:\/\/www.matesxtu.es\/es\/cps\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"CPS : CONCRETO, PICT\u00d3RICO, SIMB\u00d3LICO - MATESxTU educaci\u00f3n\" \/>\n<meta property=\"og:description\" content=\"Los problemas matem\u00e1ticos planteados se abordan en tres fases diferentes, cada uno con mayor grado de abstracci\u00f3n. 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