{"id":448,"date":"2023-10-02T14:20:29","date_gmt":"2023-10-02T12:20:29","guid":{"rendered":"https:\/\/www.postgradospucv.cl\/?page_id=448"},"modified":"2025-07-14T18:12:01","modified_gmt":"2025-07-14T16:12:01","slug":"doctorado-en-didactica-de-la-matematica","status":"publish","type":"page","link":"https:\/\/www.postgradospucv.cl\/index.php\/doctorado-en-didactica-de-la-matematica\/","title":{"rendered":"Doctorado en Did\u00e1ctica de la Matem\u00e1tica"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"448\" class=\"elementor elementor-448\" data-elementor-settings=\"{&quot;ha_cmc_init_switcher&quot;:&quot;no&quot;}\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7ee6c568 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"7ee6c568\" data-element_type=\"section\" data-settings=\"{&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1f5c5b72\" data-id=\"1f5c5b72\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-142b3431 elementor-cta--skin-cover elementor-animated-content elementor-widget elementor-widget-call-to-action\" data-id=\"142b3431\" data-element_type=\"widget\" data-widget_type=\"call-to-action.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-cta\">\n\t\t\t\t\t<div class=\"elementor-cta__bg-wrapper\">\n\t\t\t\t<div class=\"elementor-cta__bg elementor-bg\" style=\"background-image: url(https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2023\/10\/Banner-Doctorado-en-Didactica-de-la-Matematica.jpg);\" role=\"img\" aria-label=\"Banner-Doctorado-en-Did\u00e1ctica-de-la-Matem\u00e1tica\"><\/div>\n\t\t\t\t<div class=\"elementor-cta__bg-overlay\"><\/div>\n\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-cta__content\">\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<h2 class=\"elementor-cta__title elementor-cta__content-item elementor-content-item elementor-animated-item--grow\">\n\t\t\t\t\t\tFACULTAD DE CIENCIAS\t\t\t\t\t<\/h2>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-cta__description elementor-cta__content-item elementor-content-item elementor-animated-item--grow\">\n\t\t\t\t\t\tDOCTORADO EN DID\u00c1CTICA DE LA MATEM\u00c1TICA\t\t\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-2a2922eb elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"2a2922eb\" data-element_type=\"section\" data-settings=\"{&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-16 elementor-inner-column elementor-element elementor-element-21a2abd\" data-id=\"21a2abd\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4d878a42 elementor-widget elementor-widget-heading\" data-id=\"4d878a42\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Duraci\u00f3n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5b2f3b70 elementor-align-left elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"5b2f3b70\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">8 semestres<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-16 elementor-inner-column elementor-element elementor-element-265df2fd\" data-id=\"265df2fd\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-47203ce4 elementor-widget elementor-widget-heading\" data-id=\"47203ce4\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Postulaci\u00f3n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5f3b0b1 elementor-align-left elementor-mobile-align-center elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"5f3b0b1\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Desde el 14 de julio al 6 de octubre 2025<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-16 elementor-inner-column elementor-element elementor-element-74bc88db\" data-id=\"74bc88db\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1ec77475 elementor-widget elementor-widget-heading\" data-id=\"1ec77475\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Inicio de clases<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-769c34d4 elementor-align-left elementor-mobile-align-center elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"769c34d4\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Marzo<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-16 elementor-inner-column elementor-element elementor-element-73a5444f\" data-id=\"73a5444f\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1c405c08 elementor-widget elementor-widget-heading\" data-id=\"1c405c08\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Modalidad<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1f34fd6a elementor-align-left elementor-mobile-align-center elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"1f34fd6a\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Presencial<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-16 elementor-inner-column elementor-element elementor-element-f8e3ed7\" data-id=\"f8e3ed7\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-37bf3b91 elementor-widget elementor-widget-heading\" data-id=\"37bf3b91\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Valor del programa<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-47034951 elementor-align-left elementor-mobile-align-center elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"47034951\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Valor matr\u00edcula semestral: $143.000.-<br> Valor total del programa: $ 19.361.000 <br> Valor semestral del programa: $2.420.125<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-16 elementor-inner-column elementor-element elementor-element-29b6073b\" data-id=\"29b6073b\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a5d5cb4 elementor-widget elementor-widget-heading\" data-id=\"a5d5cb4\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Horarios<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4ff8e8e6 elementor-align-left elementor-mobile-align-center elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"4ff8e8e6\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lunes, martes y jueves de 9:30 a 18:00 horas<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ea0d956 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ea0d956\" data-element_type=\"section\" data-settings=\"{&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-fb8fbe9\" data-id=\"fb8fbe9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f685948 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"f685948\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/navegador.pucv.cl\/administracion\/mantenedores\/postulaciones\/index.php\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">PORTAL DE POSTULACI\u00d3N<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-505f0073 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"505f0073\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-2672876f\" data-id=\"2672876f\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-800cde9 elementor-widget__width-initial elementor-widget elementor-widget-image\" data-id=\"800cde9\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"2894\" height=\"827\" src=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Didactica-de-la-Matematica_Color_1.png\" class=\"attachment-full size-full wp-image-7917\" alt=\"\" srcset=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Didactica-de-la-Matematica_Color_1.png 2894w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Didactica-de-la-Matematica_Color_1-300x86.png 300w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Didactica-de-la-Matematica_Color_1-1024x293.png 1024w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Didactica-de-la-Matematica_Color_1-768x219.png 768w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Didactica-de-la-Matematica_Color_1-1536x439.png 1536w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Didactica-de-la-Matematica_Color_1-2048x585.png 2048w\" sizes=\"(max-width: 2894px) 100vw, 2894px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-702169bb elementor-align-right elementor-widget elementor-widget-button\" data-id=\"702169bb\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"http:\/\/ima.ucv.cl\/programas\/ddm\/\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Sitio Web ><\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2b193103 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"2b193103\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-arrow-alt-circle-right\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Descripci\u00f3n y objetivos del Programa<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6b744633 elementor-widget elementor-widget-text-editor\" data-id=\"6b744633\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>Objetivo General<\/strong><br \/>Formar investigadores en Did\u00e1ctica de la Matem\u00e1tica capaces de dise\u00f1ar y llevar a cabo investigaci\u00f3n original que contribuya a la disciplina, a las necesidades de la educaci\u00f3n y a otros \u00e1mbitos prioritarios locales o globales.<\/p><p><strong>Objetivos Espec\u00edficos<\/strong><br \/>1. Formar investigadores capaces de dise\u00f1ar y llevar a cabo investigaci\u00f3n cient\u00edfica original de manera aut\u00f3noma y colaborativa, con s\u00f3lidas bases te\u00f3ricas, epist\u00e9micas y metodol\u00f3gicas.<br \/>2.- Formar investigadores capaces de comunicar y divulgar resultados de investigaci\u00f3n, conformar redes de colaboraci\u00f3n y formar capital humano avanzado.<br \/>3.- Formar investigadores capaces de generar aportes significativos al avance de la disciplina, a la discusi\u00f3n de pol\u00edticas p\u00fablicas y al desarrollo del pa\u00eds y de la regi\u00f3n.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-481a4a89 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"481a4a89\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-arrow-alt-circle-right\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">L\u00edneas de Investigaci\u00f3n<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-11724c0e elementor-widget elementor-widget-text-editor\" data-id=\"11724c0e\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Formaci\u00f3n de profesores, Modelaci\u00f3n y Tecnolog\u00eda, Pensamiento matem\u00e1tico espec\u00edfico.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1b90f6c elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"1b90f6c\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-arrow-alt-circle-right\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Perfil de ingreso<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-62e0515b elementor-widget elementor-widget-text-editor\" data-id=\"62e0515b\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>El Programa de Doctorado en Did\u00e1ctica de la Matem\u00e1tica est\u00e1 dirigido a profesionales que est\u00e9n en posesi\u00f3n del grado de licenciado o mag\u00edster en Did\u00e1ctica de la Matem\u00e1tica, en Matem\u00e1tica, en Educaci\u00f3n o en disciplinas afines, otorgado en Chile o en el extranjero, interesados en profundizar en las problem\u00e1ticas del \u00e1rea y en las propuestas te\u00f3ricas para abordarlas realizando investigaci\u00f3n original, y contribuir a la ampliaci\u00f3n de las fronteras del conocimiento de la disciplina.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4722fdb3 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"4722fdb3\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-arrow-alt-circle-right\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Perfil de graduaci\u00f3n<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-67f25ae8 elementor-widget elementor-widget-text-editor\" data-id=\"67f25ae8\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>El graduado de este Programa es capaz de dise\u00f1ar y llevar a cabo investigaci\u00f3n original en Did\u00e1ctica de la Matem\u00e1tica con s\u00f3lidas bases te\u00f3ricas, epist\u00e9micas y metodol\u00f3gicas, de manera tanto aut\u00f3noma como colaborativa, generando aportes significativos que contribuyan al avance de la disciplina, a la discusi\u00f3n de pol\u00edticas p\u00fablicas y al desarrollo del pa\u00eds y de la regi\u00f3n. Es capaz de comunicar y divulgar resultados de investigaci\u00f3n, conformar redes de colaboraci\u00f3n y formar capital humano avanzado, desempe\u00f1\u00e1ndose en instituciones de educaci\u00f3n superior, en centros de investigaci\u00f3n y en organismos del \u00e1mbito educativo.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-6c7cef77\" data-id=\"6c7cef77\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-140f8cb1 elementor-widget elementor-widget-image\" data-id=\"140f8cb1\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"388\" height=\"256\" src=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2023\/09\/Doctorado-Didactica-de-Matematicas.jpg\" class=\"attachment-full size-full wp-image-239\" alt=\"\" srcset=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2023\/09\/Doctorado-Didactica-de-Matematicas.jpg 388w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2023\/09\/Doctorado-Didactica-de-Matematicas-300x198.jpg 300w\" sizes=\"(max-width: 388px) 100vw, 388px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-384b8a5d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"384b8a5d\" data-element_type=\"section\" data-settings=\"{&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-6f024fd7\" data-id=\"6f024fd7\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-56aef438 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"56aef438\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Requisitos de admisi\u00f3n<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5a83f3ba elementor-widget elementor-widget-text-editor\" data-id=\"5a83f3ba\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ul><li>Estar en posesi\u00f3n del grado acad\u00e9mico de Licenciado o de Mag\u00edster en Did\u00e1ctica de la Matem\u00e1tica, en Matem\u00e1ticas, en Educaci\u00f3n, o en disciplinas afines, otorgado en Chile o en el extranjero;<\/li><li>Presentar un Anteproyecto;<\/li><li>Someterse a una Entrevista Personal.<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-17270fc6 ha-toggle--icon-left elementor-widget elementor-widget-ha-toggle happy-addon ha-toggle happy-addon-pro\" data-id=\"17270fc6\" data-element_type=\"widget\" data-widget_type=\"ha-toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__wrapper\" role=\"tablist\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__item\">\n\t\t\t\t\t<div id=\"ha-toggle__item-title-3881\" class=\"ha-toggle__item-title\" data-tab=\"1\" role=\"tab\" aria-controls=\"ha-toggle__item-content-3881\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-icon ha-toggle__icon\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--closed\"><i aria-hidden=\"true\" class=\"fas fa-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--opened\"><i aria-hidden=\"true\" class=\"fas fa-chevron-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"ha-toggle__item-title-inner\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-title-text\">Documentos de postulaci\u00f3n<\/span>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"ha-toggle__item-content-3881\" class=\"ha-toggle__item-content\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"ha-toggle__item-title-3881\">\n\t\t\t\t\t\t<ul><li>T\u00edtulo que acredite la obtenci\u00f3n del Grado Acad\u00e9mico de Licenciado o Magister en Did\u00e1ctica de la Matem\u00e1tica, en Matem\u00e1tica, en Educaci\u00f3n o en disciplinas afines, otorgado en Chile o en el extranjero;<\/li><li>Certificado de las notas obtenidas en el o los programas que haya cursado con anterioridad y que sean pertinentes a la postulaci\u00f3n. Debe haberse obtenido un A35promedio ponderado m\u00ednimo de 5.0 o equivalente.<\/li><li>Solicitud de postulaci\u00f3n, seg\u00fan el formato establecido, que presente antecedentes personales y acad\u00e9micos, y una carta de intenci\u00f3n que explicita los motivos del postulante para ingresar a un Programa de Doctorado en Did\u00e1ctica de la Matem\u00e1tica;<\/li><li>CV postulantes, seg\u00fan el formato establecido, que acredite los logros acad\u00e9micos m\u00e1s relevantes de los \u00faltimos 5 a\u00f1os;<\/li><li>Anteproyecto de investigaci\u00f3n, seg\u00fan el formato establecido, que contenga una descripci\u00f3n del estado del tema que pretende investigar, objetivos de investigaci\u00f3n y las perspectivas te\u00f3ricas y metodol\u00f3gicas para su desarrollo;<\/li><li>Dos cartas de recomendaci\u00f3n del \u00e1mbito acad\u00e9mico, seg\u00fan el formato establecido, enviadas al correo doctorado.dm@pucv.cl. El acad\u00e9mico debe enviar sus cartas directamente al Programa, indicando en el asunto el nombre de la persona a la que recomienda.<\/li><\/ul>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2307a527 ha-toggle--icon-left elementor-widget elementor-widget-ha-toggle happy-addon ha-toggle happy-addon-pro\" data-id=\"2307a527\" data-element_type=\"widget\" data-widget_type=\"ha-toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__wrapper\" role=\"tablist\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__item\">\n\t\t\t\t\t<div id=\"ha-toggle__item-title-5871\" class=\"ha-toggle__item-title\" data-tab=\"1\" role=\"tab\" aria-controls=\"ha-toggle__item-content-5871\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-icon ha-toggle__icon\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--closed\"><i aria-hidden=\"true\" class=\"fas fa-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--opened\"><i aria-hidden=\"true\" class=\"fas fa-chevron-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"ha-toggle__item-title-inner\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-title-text\">Becas y Beneficios<\/span>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"ha-toggle__item-content-5871\" class=\"ha-toggle__item-content\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"ha-toggle__item-title-5871\">\n\t\t\t\t\t\t<p>AUIP:\u00a0<a href=\"https:\/\/www.auip.org\/es\/\" target=\"_blank\" rel=\"noopener noreferrer\" data-auth=\"NotApplicable\" data-linkindex=\"3\">Principal (auip.org)<\/a>\u00a0(Becas de Movilidad desde Europa Hacia Am\u00e9rica, viceversa).<br aria-hidden=\"true\" \/>ANID:\u00a0<a href=\"https:\/\/anid.cl\/\" target=\"_blank\" rel=\"noopener noreferrer\" data-auth=\"NotApplicable\" data-linkindex=\"4\">Inicio \u2013 ANID<\/a>\u00a0\u2013 Doctorado Becas Chile<\/p><p><strong>Becas Internas PUCV<\/strong>: Arancel para estudiantes Extranjeros \u2013Manutenci\u00f3n para estudiantes extranjeros- Arancel para estudiantes nacionales &#8211; Manutenci\u00f3n para estudiantes nacionales \u2013Evento Cient\u00edfico \u2013 T\u00e9rmino de Tesis \u2013 Pasant\u00eda.<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fd648ad ha-toggle--icon-left elementor-widget elementor-widget-ha-toggle happy-addon ha-toggle happy-addon-pro\" data-id=\"fd648ad\" data-element_type=\"widget\" data-widget_type=\"ha-toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__wrapper\" role=\"tablist\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__item\">\n\t\t\t\t\t<div id=\"ha-toggle__item-title-2651\" class=\"ha-toggle__item-title\" data-tab=\"1\" role=\"tab\" aria-controls=\"ha-toggle__item-content-2651\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-icon ha-toggle__icon\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--closed\"><i aria-hidden=\"true\" class=\"fas fa-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--opened\"><i aria-hidden=\"true\" class=\"fas fa-chevron-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"ha-toggle__item-title-inner\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-title-text\">Cuerpo Acad\u00e9mico<\/span>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"ha-toggle__item-content-2651\" class=\"ha-toggle__item-content\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"ha-toggle__item-title-2651\">\n\t\t\t\t\t\t<p>Claustro \/ Melissa Andrade Molina<br \/>Claustro \/ Mar\u00eda Soledad Estrella Romero<br \/>Claustro \/ Manuel Goizueta<br \/>Claustro \/ Carolina Guerrero Ortiz<br \/>Claustro \/ Raimundo Olfos Ayarza<br \/>Claustro \/ Marcela Parraguez Gonz\u00e1lez<br \/>Claustro \/ Elisabeth Ramos Rodr\u00edguez<br \/>Claustro \/ Diana Zakaryan<br \/>Colaborador \/ Corina Gonz\u00e1lez Weis<br \/>Colaborador \/ Astrid Morales Soto<br \/>Colaborador \/ Arturo Mena Lorca<br \/>Colaborador \/ Jaime Mena Lorca<br \/>Colaborador \/ Elizabeth Montoya Delgadillo<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b0f570f ha-toggle--icon-left elementor-widget elementor-widget-ha-toggle happy-addon ha-toggle happy-addon-pro\" data-id=\"b0f570f\" data-element_type=\"widget\" data-widget_type=\"ha-toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__wrapper\" role=\"tablist\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__item\">\n\t\t\t\t\t<div id=\"ha-toggle__item-title-1851\" class=\"ha-toggle__item-title\" data-tab=\"1\" role=\"tab\" aria-controls=\"ha-toggle__item-content-1851\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-icon ha-toggle__icon\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--closed\"><i aria-hidden=\"true\" class=\"fas fa-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--opened\"><i aria-hidden=\"true\" class=\"fas fa-chevron-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"ha-toggle__item-title-inner\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-title-text\">Requisitos de Graduaci\u00f3n y Grado Otorgado<\/span>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"ha-toggle__item-content-1851\" class=\"ha-toggle__item-content\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"ha-toggle__item-title-1851\">\n\t\t\t\t\t\t<p>El Programa de Doctorado en Did\u00e1ctica de la Matem\u00e1tica establece varios hitos importantes para la formaci\u00f3n acad\u00e9mica y la obtenci\u00f3n del grado de Doctor. Al finalizar el primer a\u00f1o y antes del cuarto semestre, cada estudiante debe aprobar un Examen de Calificaci\u00f3n que aborda aspectos de Matem\u00e1tica, Did\u00e1ctica de la Matem\u00e1tica y los contenidos espec\u00edficos de su proyecto de tesis. Este examen es evaluado por una Comisi\u00f3n designada por el Director del Programa, compuesta por tres profesores del Programa y un especialista externo.<\/p><p>Una vez aprobado el Examen de Calificaci\u00f3n, el estudiante adquiere la condici\u00f3n de candidato\/a a Doctor\/a.<\/p><p>La tesis doctoral constituir\u00e1 el trabajo fundamental del plan de estudios. Respecto a la presentaci\u00f3n de la tesis doctoral, el(la) doctorando podr\u00e1 optar por una de las dos modalidades:\u00a0<strong>Tesis o Tesis por compendio de publicaciones<\/strong>.<\/p><p>La Tesis por compendio de publicaciones consiste en, al menos, tres art\u00edculos publicados o aceptados en revistas indexadas del \u00e1rea (avaladas por el Comit\u00e9 Acad\u00e9mico del Programa, seg\u00fan los criterios establecidos por referentes reconocidos del \u00e1rea), con fecha de env\u00edo durante el desarrollo del programa doctoral y en la tem\u00e1tica de su Proyecto de Tesis Doctoral, en los cuales el(la) doctorando se figura como autor(a) principal.<\/p><p>En el caso de la Tesis tradicional, el estudiante debe ser autor\/a de una publicaci\u00f3n relacionada, aceptada en una revista indexada.<\/p><p>Finalmente, aprobado el escrito de Tesis o la Tesis por compendio, el(la) candidato(a) deber\u00e1 rendir un examen de grado mediante una exposici\u00f3n y defensa de su Tesis. El examen de grado consiste en una exposici\u00f3n y defensa p\u00fablica de la tesis frente a una Comisi\u00f3n evaluadora. Una vez completados todos los requisitos, el Director\/a del Programa inicia el proceso para obtener el\u00a0<strong>Grado de Doctor\/a en Did\u00e1ctica de la Matem\u00e1tica<\/strong>.<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-44ca2a0b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"44ca2a0b\" data-element_type=\"section\" data-settings=\"{&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-3a2f692c\" data-id=\"3a2f692c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9faed51 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"9faed51\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2023\/11\/Reglamento-Academico-y-Plan-de-Estudios_Doctorado-en-Didactica-de-la-Matematica.pdf\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-file-download\"><\/i>\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Reglamento del Programa<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-79f32ed0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"79f32ed0\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7059534f\" data-id=\"7059534f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7fde8ce4 elementor-widget elementor-widget-heading\" data-id=\"7fde8ce4\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">PLAN DE ESTUDIOS<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-254ad79d ha-column-alignment-left ha-column-alignment-left ha-column-icon-left ha-column-icon-left ha-row-alignment-center ha-row-icon-top ha-row-icon-top ha-data-table-responsive-scroll-yes ha-column-alignment-center ha-row-alignment-left ha-data-table-disable-wordwrap-yes elementor-widget elementor-widget-ha-data-table happy-addon ha-data-table\" data-id=\"254ad79d\" data-element_type=\"widget\" data-widget_type=\"ha-data-table.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\n\t\t<table class=\"ha-table\">\n\t\t\t<thead class=\"ha-table__head\">\n\t\t\t\t<tr class=\"ha-table__head-column\">\n\t\t\t\t\t\t\t\t\t\t\t<th class=\"ha-table__head-column-cell elementor-repeater-item-afa6919\">\n\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-wrap\">\n\t\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-text\">I SEMESTRE<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/th>\n\t\t\t\t\t\t\t\t\t\t\t<th class=\"ha-table__head-column-cell elementor-repeater-item-0330529\">\n\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-wrap\">\n\t\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-text\">II SEMESTRE<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/th>\n\t\t\t\t\t\t\t\t\t\t\t<th class=\"ha-table__head-column-cell elementor-repeater-item-3c82eda\">\n\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-wrap\">\n\t\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-text\">III SEMESTRE<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/th>\n\t\t\t\t\t\t\t\t\t\t\t<th class=\"ha-table__head-column-cell elementor-repeater-item-eb5f0fa\">\n\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-wrap\">\n\t\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-text\">IV SEMESTRE<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/th>\n\t\t\t\t\t\t\t\t\t\t\t<th class=\"ha-table__head-column-cell elementor-repeater-item-499c773\">\n\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-wrap\">\n\t\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-text\">V SEMESTRE<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/th>\n\t\t\t\t\t\t\t\t\t\t\t<th class=\"ha-table__head-column-cell elementor-repeater-item-f04ea02\">\n\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-wrap\">\n\t\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-text\">VI SEMESTRE<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/th>\n\t\t\t\t\t\t\t\t\t\t\t<th class=\"ha-table__head-column-cell elementor-repeater-item-fb8c06c\">\n\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-wrap\">\n\t\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-text\">VII SEMESTRE<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/th>\n\t\t\t\t\t\t\t\t\t\t\t<th class=\"ha-table__head-column-cell elementor-repeater-item-807f610\">\n\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-wrap\">\n\t\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-text\">VIII SEMESTRE<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/th>\n\t\t\t\t\t\t\t\t\t<\/tr>\n\t\t\t<\/thead>\n\n\t\t\t<tbody class=\"ha-table__body\">\n\t\t\t\t\t\t\t\t\t<tr class=\"ha-table__body-row\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-51aa844\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tEscritura acad\u00e9mica orientada al dise\u00f1o de proyectos y elaboraci\u00f3n de art\u00edculos\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-60eddf1\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tSeminario de Metodolog\u00eda de Investigaci\u00f3n 1\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-a361352\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tSeminario de Metodolog\u00eda de Investigaci\u00f3n 2\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-2c29208\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tSeminario de Investigaci\u00f3n 2\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-85d2b11\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tTesis 3\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-4706970\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tTesis 4\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-6e059d4\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tTesis 5\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-6f91d1f\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tTesis\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/tr>\n\t\t\t\t\t\t\t\t\t<tr class=\"ha-table__body-row\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-b3b32da\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tSeminario de Did\u00e1ctica de la Matem\u00e1tica\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-a5d287e\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tSeminario de Epistemolog\u00eda\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-1da34a1\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tSeminario L\u00ednea de Investigaci\u00f3n 1\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-53fad7d\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tTesis 2\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/tr>\n\t\t\t\t\t\t\t\t\t<tr class=\"ha-table__body-row\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-04a6f04\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tNociones y estructuras fundamentales de la matem\u00e1tica 1\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-fb8883f\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tNociones y estructuras fundamentales de la matem\u00e1tica 2\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-39ef315\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tTesis 1\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/tr>\n\t\t\t\t\t\t\t\t\t<tr class=\"ha-table__body-row\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-69c16ef\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tProyecto de Tesis 1\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-e488655\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tProyecto de Tesis 2\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/tr>\n\t\t\t\t\t\t\t<\/tbody>\n\t\t<\/table>\n\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5632296 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5632296\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-1625ae46\" data-id=\"1625ae46\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-25b05edc elementor-widget elementor-widget-google_maps\" data-id=\"25b05edc\" data-element_type=\"widget\" data-widget_type=\"google_maps.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-custom-embed\">\n\t\t\t<iframe loading=\"lazy\"\n\t\t\t\t\tsrc=\"https:\/\/maps.google.com\/maps?q=Blanco%20Viel%20N%C2%B0596%2C%20Cerro%20Bar%C3%B3n%2C%20Valpara%C3%ADso.&#038;t=m&#038;z=16&#038;output=embed&#038;iwloc=near\"\n\t\t\t\t\ttitle=\"Blanco Viel N\u00b0596, Cerro Bar\u00f3n, Valpara\u00edso.\"\n\t\t\t\t\taria-label=\"Blanco Viel N\u00b0596, Cerro Bar\u00f3n, Valpara\u00edso.\"\n\t\t\t><\/iframe>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7c315908 elementor-align-left elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"7c315908\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"mailto:doctorado.dm@pucv.cl\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-envelope\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">doctorado.dm@pucv.cl<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"tel:+56%2032%20227%204005\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-phone-alt\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">+56 32 227 4005<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-location-arrow\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Blanco Viel N\u00ba596, Cerro Bar\u00f3n, Valpara\u00edso.<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Nombre del Director: Manuel Goizueta<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-23016f79\" data-id=\"23016f79\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-13b82ca2 elementor-widget elementor-widget-video\" data-id=\"13b82ca2\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/www.youtube.com\\\/watch?v=eFWLlXSdkuc&amp;t=20s&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e2ba27b elementor-widget__width-initial elementor-widget elementor-widget-image\" data-id=\"e2ba27b\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"2560\" height=\"587\" src=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/04\/DOCTORADO-EN-DIDACTICA-DE-LA-MATEMATICA-color-scaled.png\" class=\"attachment-full size-full wp-image-9443\" alt=\"\" srcset=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/04\/DOCTORADO-EN-DIDACTICA-DE-LA-MATEMATICA-color-scaled.png 2560w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/04\/DOCTORADO-EN-DIDACTICA-DE-LA-MATEMATICA-color-300x69.png 300w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/04\/DOCTORADO-EN-DIDACTICA-DE-LA-MATEMATICA-color-1024x235.png 1024w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/04\/DOCTORADO-EN-DIDACTICA-DE-LA-MATEMATICA-color-768x176.png 768w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/04\/DOCTORADO-EN-DIDACTICA-DE-LA-MATEMATICA-color-1536x352.png 1536w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/04\/DOCTORADO-EN-DIDACTICA-DE-LA-MATEMATICA-color-2048x469.png 2048w\" sizes=\"(max-width: 2560px) 100vw, 2560px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-63ed190 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"63ed190\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-cea90e2\" data-id=\"cea90e2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4527ebd elementor-widget elementor-widget-heading\" data-id=\"4527ebd\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u00bfNecesitas m\u00e1s informaci\u00f3n sobre el programa?<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-815e2e1 elementor-button-align-center elementor-widget elementor-widget-form\" data-id=\"815e2e1\" data-element_type=\"widget\" data-settings=\"{&quot;step_next_label&quot;:&quot;Siguiente&quot;,&quot;step_previous_label&quot;:&quot;Anterior&quot;,&quot;button_width&quot;:&quot;100&quot;,&quot;step_type&quot;:&quot;number_text&quot;,&quot;step_icon_shape&quot;:&quot;circle&quot;}\" data-widget_type=\"form.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<form class=\"elementor-form\" method=\"post\" name=\"Formulario - Doctorado en Did\u00e1ctica de la Matem\u00e1tica\">\n\t\t\t<input type=\"hidden\" name=\"post_id\" value=\"448\"\/>\n\t\t\t<input type=\"hidden\" name=\"form_id\" value=\"815e2e1\"\/>\n\t\t\t<input type=\"hidden\" name=\"referer_title\" value=\"\" \/>\n\n\t\t\t\n\t\t\t<div class=\"elementor-form-fields-wrapper elementor-labels-\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-text elementor-field-group elementor-column elementor-field-group-name elementor-col-33 elementor-field-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-name\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tNombre\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<input size=\"1\" type=\"text\" name=\"form_fields[name]\" id=\"form-field-name\" class=\"elementor-field elementor-size-sm  elementor-field-textual\" placeholder=\"Nombre\" required=\"required\">\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-text elementor-field-group elementor-column elementor-field-group-field_fcb629c elementor-col-33 elementor-field-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_fcb629c\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tApellido\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<input size=\"1\" type=\"text\" name=\"form_fields[field_fcb629c]\" id=\"form-field-field_fcb629c\" class=\"elementor-field elementor-size-sm  elementor-field-textual\" placeholder=\"Apellido\" required=\"required\">\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-text elementor-field-group elementor-column elementor-field-group-field_f4c15ee elementor-col-33 elementor-field-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_f4c15ee\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tRUT (ej.12345678-9)\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<input size=\"1\" type=\"text\" name=\"form_fields[field_f4c15ee]\" id=\"form-field-field_f4c15ee\" class=\"elementor-field elementor-size-sm  elementor-field-textual\" placeholder=\"RUT (ej.12345678-9)\" required=\"required\">\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-text elementor-field-group elementor-column elementor-field-group-field_9c74a92 elementor-col-33 elementor-field-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_9c74a92\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tComuna\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<input size=\"1\" type=\"text\" name=\"form_fields[field_9c74a92]\" id=\"form-field-field_9c74a92\" class=\"elementor-field elementor-size-sm  elementor-field-textual\" placeholder=\"Comuna\" required=\"required\">\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-email elementor-field-group elementor-column elementor-field-group-field_9c43e1e elementor-col-33 elementor-field-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_9c43e1e\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tEmail\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<input size=\"1\" type=\"email\" name=\"form_fields[field_9c43e1e]\" id=\"form-field-field_9c43e1e\" class=\"elementor-field elementor-size-sm  elementor-field-textual\" placeholder=\"Email\" required=\"required\">\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-tel elementor-field-group elementor-column elementor-field-group-field_e1d7b3c elementor-col-33 elementor-field-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_e1d7b3c\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tTel\u00e9fono\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t<input size=\"1\" type=\"tel\" name=\"form_fields[field_e1d7b3c]\" id=\"form-field-field_e1d7b3c\" class=\"elementor-field elementor-size-sm  elementor-field-textual\" placeholder=\"Tel\u00e9fono\" required=\"required\" pattern=\"[0-9()#&amp;+*-=.]+\" title=\"Only numbers and phone characters (#, -, *, etc) are accepted.\">\n\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-acceptance elementor-field-group elementor-column elementor-field-group-field_90ac35d elementor-col-50\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_90ac35d\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tDeseo recibir m\u00e1s informaci\u00f3n de la PUCV\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-subgroup\">\n\t\t\t<span class=\"elementor-field-option\">\n\t\t\t\t<input type=\"checkbox\" name=\"form_fields[field_90ac35d]\" id=\"form-field-field_90ac35d\" class=\"elementor-field elementor-size-sm  elementor-acceptance-field\">\n\t\t\t\t<label for=\"form-field-field_90ac35d\">Deseo recibir m\u00e1s informaci\u00f3n de la PUCV<\/label>\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-acceptance elementor-field-group elementor-column elementor-field-group-field_ecf6800 elementor-col-50\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_ecf6800\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tDeseo recibir m\u00e1s informaci\u00f3n del Postgrado\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-subgroup\">\n\t\t\t<span class=\"elementor-field-option\">\n\t\t\t\t<input type=\"checkbox\" name=\"form_fields[field_ecf6800]\" id=\"form-field-field_ecf6800\" class=\"elementor-field elementor-size-sm  elementor-acceptance-field\">\n\t\t\t\t<label for=\"form-field-field_ecf6800\">Deseo recibir m\u00e1s informaci\u00f3n del Postgrado<\/label>\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-text\">\n\t\t\t\t\t<input size=\"1\" type=\"text\" name=\"form_fields[field_6b4a05b]\" id=\"form-field-field_6b4a05b\" class=\"elementor-field elementor-size-sm \" style=\"display:none !important;\">\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-recaptcha_v3 elementor-field-group elementor-column elementor-field-group-field_4c160e2 elementor-col-100 recaptcha_v3-bottomleft\">\n\t\t\t\t\t<div class=\"elementor-field\" id=\"form-field-field_4c160e2\"><div class=\"elementor-g-recaptcha\" data-sitekey=\"6LdQ0CAqAAAAAIoskpTJ1ADyWB4G7uif7DloC2uP\" data-type=\"v3\" data-action=\"Form\" data-badge=\"bottomleft\" data-size=\"invisible\"><\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-group elementor-column elementor-field-type-submit elementor-col-100 e-form__buttons\">\n\t\t\t\t\t<button class=\"elementor-button elementor-size-sm\" type=\"submit\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Enviar<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/button>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/form>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>FACULTAD DE CIENCIAS DOCTORADO EN DID\u00c1CTICA DE LA MATEM\u00c1TICA Duraci\u00f3n 8 semestres Postulaci\u00f3n Desde el 14 de julio al 6 de octubre 2025 Inicio de clases Marzo Modalidad Presencial Valor del programa Valor matr\u00edcula semestral: $143.000.- Valor total del programa: $ 19.361.000 Valor semestral del programa: $2.420.125 Horarios Lunes, martes y jueves de 9:30 a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"no-sidebar","site-content-layout":"","ast-site-content-layout":"full-width-container","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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