{"id":2668,"date":"2026-05-15T00:07:41","date_gmt":"2026-05-15T00:07:41","guid":{"rendered":"https:\/\/xvii.ciaem-iacme.org\/?page_id=2668"},"modified":"2026-05-15T00:07:41","modified_gmt":"2026-05-15T00:07:41","slug":"del-fenomeno-al-concepto-diseno-de-tareas-matematicas-fenomenologicas-en-la-ensenanza-del-calculo-diferencial-e-integral","status":"publish","type":"page","link":"https:\/\/xvii.ciaem-iacme.org\/index.php\/del-fenomeno-al-concepto-diseno-de-tareas-matematicas-fenomenologicas-en-la-ensenanza-del-calculo-diferencial-e-integral\/","title":{"rendered":"Del fen\u00f3meno al concepto: dise\u00f1o de tareas matem\u00e1ticas fenomenol\u00f3gicas en la ense\u00f1anza del C\u00e1lculo Diferencial e Integral"},"content":{"rendered":"\n\n\t<p>En este minicurso se abordar\u00e1n principios te\u00f3rico-pr\u00e1cticos para el dise\u00f1o de <em>tareas matem\u00e1ticas fenomenol\u00f3gicas<\/em> orientadas a la ense\u00f1anza del C\u00e1lculo Diferencial e Integral (CDI). La propuesta parte de la fenomenolog\u00eda did\u00e1ctica como perspectiva para vincular los conceptos del CDI con fen\u00f3menos reales que permitan comprender, modelar, interpretar y comunicar relaciones de variaci\u00f3n, acumulaci\u00f3n, aproximaci\u00f3n y cambio. Se trabajar\u00e1 con el modelo del <em>Ciclo Fenomenol\u00f3gico Escolar<\/em>, considerando tres momentos fundamentales: (i) la simplificaci\u00f3n del fen\u00f3meno, (ii) la matematizaci\u00f3n y resoluci\u00f3n de la tarea, y (iii) la comunicaci\u00f3n e interpretaci\u00f3n de los resultados. A partir de estos elementos, se analizar\u00e1n criterios para seleccionar fen\u00f3menos, construir modelos escolares, promover razonamiento matem\u00e1tico y dise\u00f1ar preguntas promotoras de argumentaci\u00f3n, justificaci\u00f3n e interpretaci\u00f3n. El minicurso tendr\u00e1 un car\u00e1cter aplicado, de modo que las personas participantes puedan analizar, adaptar y bosquejar tareas fenomenol\u00f3gicas para distintos contenidos del C\u00e1lculo Diferencial e Integral.<\/p>\n<p><em>Palabras clave<\/em>: Tareas matem\u00e1ticas fenomenol\u00f3gicas, Razonamiento matem\u00e1tico, Ense\u00f1anza exploratoria del C\u00e1lculo Diferencial e Integral.<\/p>\n<p><strong>Luis Fabi\u00e1n Guti\u00e9rrez-Fallas<\/strong><\/p>\n<ul>\n<li>Escuela de Matem\u00e1tica, Universidad de Costa Rica<\/li>\n<li>Costa Rica<\/li>\n<li><a href=\"mailto:luisfabian.gutierrez@ucr.ac.cr\">luisfabian.gutierrez@ucr.ac.cr<\/a><\/li>\n<\/ul>\n\n","protected":false},"excerpt":{"rendered":"<p>En este minicurso se abordar\u00e1n principios te\u00f3rico-pr\u00e1cticos para el dise\u00f1o de tareas matem\u00e1ticas fenomenol\u00f3gicas orientadas a la ense\u00f1anza del C\u00e1lculo Diferencial e Integral (CDI). La&hellip;<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_customify_content_layout":"","_customify_sidebar":"","_customify_page_header_display":"default","_customify_disable_header":"","_customify_disable_header_top":"","_customify_disable_header_main":"","_customify_disable_header_bottom":"","_customify_disable_page_title":"","_customify_disable_content_vertical_padding":"","_customify_disable_footer_top":"","_customify_disable_footer_main":"","_customify_disable_footer_bottom":"","_customify_breadcrumb_display":"","_customify_header_transparent_display":"","footnotes":""},"class_list":["post-2668","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/xvii.ciaem-iacme.org\/index.php\/wp-json\/wp\/v2\/pages\/2668","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/xvii.ciaem-iacme.org\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/xvii.ciaem-iacme.org\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/xvii.ciaem-iacme.org\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/xvii.ciaem-iacme.org\/index.php\/wp-json\/wp\/v2\/comments?post=2668"}],"version-history":[{"count":2,"href":"https:\/\/xvii.ciaem-iacme.org\/index.php\/wp-json\/wp\/v2\/pages\/2668\/revisions"}],"predecessor-version":[{"id":2671,"href":"https:\/\/xvii.ciaem-iacme.org\/index.php\/wp-json\/wp\/v2\/pages\/2668\/revisions\/2671"}],"wp:attachment":[{"href":"https:\/\/xvii.ciaem-iacme.org\/index.php\/wp-json\/wp\/v2\/media?parent=2668"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}