{"id":56,"date":"2024-05-27T13:10:12","date_gmt":"2024-05-27T17:10:12","guid":{"rendered":"https:\/\/upla.cl\/pedagogiaenmatematica\/?page_id=56"},"modified":"2024-10-11T09:06:07","modified_gmt":"2024-10-11T12:06:07","slug":"publicaciones","status":"publish","type":"page","link":"https:\/\/upla.cl\/pedagogiaenmatematica\/publicaciones\/","title":{"rendered":"Publicaciones"},"content":{"rendered":"<p>[et_pb_section fb_built=\u00bb1&#8243; admin_label=\u00bbBanner carrera con info instant\u00e1nea\u00bb _builder_version=\u00bb4.25.1&#8243; use_background_color_gradient=\u00bbon\u00bb background_color_gradient_stops=\u00bb#565656 0%|rgba(255,255,255,0) 100%\u00bb background_color_gradient_overlays_image=\u00bbon\u00bb background_color_gradient_start=\u00bbrgba(150,105,97,0.67)\u00bb background_color_gradient_end=\u00bbrgba(2,0,76,0.84)\u00bb background_image=\u00bbhttps:\/\/upla.cl\/pedagogiaenmatematica\/wp-content\/uploads\/2024\/05\/matematica5.png\u00bb custom_margin=\u00bb|||\u00bb custom_padding=\u00bb2.5%||10.3%|||\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_row column_structure=\u00bb1_2,1_2&#8243; _builder_version=\u00bb4.19.3&#8243; _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_column type=\u00bb1_2&#8243; _builder_version=\u00bb4.19.3&#8243; _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_cta title=\u00bbPublicaciones e investigaciones\u00bb button_url=\u00bb#\u00bb _builder_version=\u00bb4.25.1&#8243; header_level=\u00bbh1&#8243; header_font=\u00bbLato|900||on|||||\u00bb header_font_size=\u00bb40px\u00bb header_letter_spacing=\u00bb1px\u00bb header_line_height=\u00bb1.2em\u00bb body_font=\u00bbLato||||||||\u00bb body_font_size=\u00bb18px\u00bb body_line_height=\u00bb1.5em\u00bb use_background_color=\u00bboff\u00bb text_orientation=\u00bbleft\u00bb max_width=\u00bb750px\u00bb module_alignment=\u00bbleft\u00bb custom_margin=\u00bb61px|||||\u00bb animation_style=\u00bbfold\u00bb 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button_two_border_color__hover_enabled=\u00bboff\u00bb button_border_radius__hover_enabled=\u00bboff\u00bb button_one_border_radius__hover_enabled=\u00bboff\u00bb button_two_border_radius__hover_enabled=\u00bboff\u00bb button_letter_spacing__hover_enabled=\u00bbon\u00bb button_letter_spacing__hover=\u00bb2px\u00bb button_one_letter_spacing__hover_enabled=\u00bboff\u00bb button_two_letter_spacing__hover_enabled=\u00bboff\u00bb button_bg_color__hover_enabled=\u00bboff\u00bb button_one_bg_color__hover_enabled=\u00bboff\u00bb button_two_bg_color__hover_enabled=\u00bboff\u00bb]<\/p>\n<p><strong>Listado de publicaciones de los \u00faltimos cinco a\u00f1os,<\/strong><br \/><strong>realizadas por acad\u00e9micas y acad\u00e9micos<\/strong><br \/><strong>asociadas y asociados a la carrera<\/strong><br \/><strong>de Pedagog\u00eda en Matem\u00e1tica.<\/strong><\/p>\n<p>[\/et_pb_cta][\/et_pb_column][et_pb_column type=\u00bb1_2&#8243; _builder_version=\u00bb4.19.3&#8243; _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=\u00bb1&#8243; admin_label=\u00bbPerfil y bienvenida\u00bb _builder_version=\u00bb4.22.1&#8243; _module_preset=\u00bbdefault\u00bb custom_margin=\u00bb||0px||false|false\u00bb custom_padding=\u00bb54px|0px|50px|0px|false|false\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_row use_custom_gutter=\u00bbon\u00bb _builder_version=\u00bb4.25.1&#8243; _module_preset=\u00bbdefault\u00bb background_color=\u00bbRGBA(255,255,255,0)\u00bb max_width=\u00bb2560px\u00bb min_height=\u00bb427px\u00bb custom_margin=\u00bb-10%||12px||false|false\u00bb custom_margin_tablet=\u00bb-10%||12px||false|false\u00bb custom_margin_phone=\u00bb-150px||||false|false\u00bb custom_margin_last_edited=\u00bbon|phone\u00bb custom_padding=\u00bb||2px||false|true\u00bb animation_style=\u00bbslide\u00bb border_radii=\u00bbon|15px|15px|15px|15px\u00bb border_color_all=\u00bb#B33F34&#8243; border_width_top=\u00bb0px\u00bb border_color_top=\u00bbRGBA(255,255,255,0)\u00bb border_style_top=\u00bboutset\u00bb box_shadow_style=\u00bbpreset3&#8243; box_shadow_vertical=\u00bb39px\u00bb box_shadow_blur=\u00bb80px\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_column type=\u00bb4_4&#8243; _builder_version=\u00bb4.22.1&#8243; _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_tabs active_tab_background_color=\u00bb#B33F34&#8243; inactive_tab_background_color=\u00bb#FFFFFF\u00bb active_tab_text_color=\u00bb#FFFFFF\u00bb _builder_version=\u00bb4.25.1&#8243; _module_preset=\u00bbdefault\u00bb tab_text_color=\u00bb#565656&#8243; tab_line_height=\u00bb2.3em\u00bb custom_margin=\u00bb-2%||-3px||false|false\u00bb custom_css_free_form=\u00bbul.et_pb_tabs_controls {||    background-color: #ffffff;||}\u00bb border_radii=\u00bbon|15px|15px|15px|15px\u00bb border_color_all=\u00bb#B33F34&#8243; border_style_all=\u00bbsolid\u00bb border_width_top=\u00bb18px\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_tab title=\u00bbArt\u00edculos\u00bb _builder_version=\u00bb4.25.1&#8243; _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb]<\/p>\n<p><strong><span style=\"color: #565656;\"><a href=\"https:\/\/doi.org\/10.15366\/reice2022.20.4.004\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Caracterizaci\u00f3n de modelos educativos de universidades chilenas: Configuraci\u00f3n de sus dimensiones fundacionales<\/a><br \/>Autor: Cristian Carvajal Muquillaza<\/span><\/strong><br \/>A\u00f1o: 2022<br \/>Materia: Pol\u00edticas y gesti\u00f3n en sistemas educativos para el logro de aprendizaje<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/www.revistas.una.ac.cr\/index.php\/uniciencia\/article\/view\/14448\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Representaci\u00f3n difusa del umbral de precipitaciones en el desencadenamiento de procesos de remoci\u00f3n en masa<\/a><br \/><span style=\"color: #565656;\">Autor: Cristian Carvajal Muquillaza<\/span><\/strong><br \/>A\u00f1o: 2021<br \/>Materia: Inferencia estad\u00edstica<\/p>\n<hr \/>\n<p><strong><a href=\"http:\/\/dx.doi.org\/10.15359\/ru.34-1.8\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Modelaci\u00f3n de la deserci\u00f3n universitaria mediante cadenas de Markov<\/a><br \/><span style=\"color: #565656;\">Autor: Cristian Carvajal Muquillaza<\/span><\/strong><br \/>A\u00f1o: 2020<br \/>Materia: Inferencia estad\u00edstica<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/bit.ly\/3Rr1xQr\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">La incorporaci\u00f3n del Early Algebra en el curr\u00edculo de Educaci\u00f3n Primaria<\/a><br \/><span style=\"color: #565656;\">Autor: Cristian Mej\u00edas Zamorano<\/span><\/strong><br \/>A\u00f1o: 2020<br \/>Materia: Algebra cl\u00e1sica y software para el aprendizaje de la Matem\u00e1tica<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.18845\/rdmei.v21i2.5607\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Desarrollo hist\u00f3rico-epistemol\u00f3gico del \u00e1lgebra: Evoluci\u00f3n hacia distintos significados<\/a><br \/><span style=\"color: #565656;\">Autor: Cristian Mej\u00edas Zamorano<\/span><\/strong><br \/>A\u00f1o: 2021<br \/>Materia: Algebra cl\u00e1sica<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.46219\/rechiem.v15i1.123\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Pr\u00e1cticas evaluativas de profesores de matem\u00e1ticas durante la pandemia<\/a><br \/><span style=\"color: #565656;\">Autor: Jorge Gaona Paredes<\/span><\/strong><br \/>A\u00f1o: 2023<br \/>Materia: Evaluaci\u00f3n educacional del aprendizaje<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/bit.ly\/3Rr1xQr\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Dise\u00f1o de tareas en un sistema de evaluaci\u00f3n en l\u00ednea, una mirada desde la teor\u00eda de espacios de trabajo matem\u00e1tico<\/a><br \/><span style=\"color: #565656;\">Autor: Jorge Gaona Paredes<\/span><\/strong><br \/>A\u00f1o: 2022<br \/>Materia: Evaluaci\u00f3n educacional del aprendizaje<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.3991\/ijet.v17i20.32641\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Influence of a function&#8217;s coefficients and feedback of the mathematical work when reading a graph in an online assessment system<\/a><br \/><span style=\"color: #565656;\">Autor: Jorge Gaona Paredes<\/span><\/strong><br \/>A\u00f1o: 2022<br \/>Materia: Evaluaci\u00f3n educacional del aprendizaje<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/bit.ly\/3R5pTPf\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Valor epist\u00e9mico de tareas dise\u00f1adas en un sistema de evaluaci\u00f3n en l\u00ednea con retroalimentaci\u00f3n para matem\u00e1ticas<\/a><br \/><span style=\"color: #565656;\">Autor: Jorge Gaona Paredes<\/span><\/strong><br \/>A\u00f1o: 2022<br \/>Materia: Evaluaci\u00f3n educacional del aprendizaje<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.29333\/ejmste\/11425\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Argumentation of prospective mathematics teachers in fraction tasks mediated by an online assessment system with automatic feedback<\/a><br \/><span style=\"color: #565656;\">Autor: Jorge Gaona Paredes<\/span><\/strong><br \/>A\u00f1o: 2021<br \/>Materia: Evaluaci\u00f3n educacional del aprendizaje<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.37618\/paradigma.1011-2251.0.p53-80.id853\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Panorama sobre los sistemas de evaluaci\u00f3n autom\u00e1tica en l\u00ednea en matem\u00e1ticas<\/a><br \/><span style=\"color: #565656;\">Autor: Jorge Gaona Paredes<\/span><\/strong><br \/>A\u00f1o: 2020<br \/>Materia: Evaluaci\u00f3n educacional del aprendizaje<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.1080\/0020739X.2022.2133021\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Prospective mathematics teachers learning complex numbers using technology<\/a><br \/><span style=\"color: #565656;\">Autor: Jorge Gaona Paredes<\/span><\/strong><br \/>A\u00f1o: 2022<br \/>Materia: Software para el aprendizaje de la Matem\u00e1tica<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.12804\/revistas.urosario.edu.co\/apl\/a.12290\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Calidad de vida y factores de influencia en universitarios chilenos para el retorno a clases presenciales por la pandemia de COVID-19<\/a><br \/><span style=\"color: #565656;\">Autor: Jos\u00e9 Gonz\u00e1lez Campos<\/span><\/strong><br \/>A\u00f1o: 2023<br \/>Materia: Investigaci\u00f3n educacional<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.22463\/25909215.3790\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Cuestionario percepci\u00f3n de expresi\u00f3n y comunicaci\u00f3n emocional para universitarios en modalidad virtual PECJ-V<\/a><br \/><span style=\"color: #565656;\">Autor: Jos\u00e9 Gonz\u00e1lez Campos<\/span><\/strong><br \/>A\u00f1o: 2023<br \/>Materia: Investigaci\u00f3n educacional<\/p>\n<hr \/>\n<p><strong><a href=\"http:\/\/dx.doi.org\/10.21703\/0718-5162.v22.n48.2023.015\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Estimaci\u00f3n de la fiabilidad para instrumentos de medici\u00f3n adaptativos<\/a><br \/><span style=\"color: #565656;\">Autor: Jos\u00e9 Gonz\u00e1lez Campos<\/span><\/strong><br \/>A\u00f1o: 2023<br \/>Materia: Inferencia estad\u00edstica<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.15517\/revedu.v47i1.51663\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">El sentido de pertenencia y el compromiso estudiantil en el contexto de Educaci\u00f3n Superior a distancia con mediaci\u00f3n virtual<\/a><br \/><span style=\"color: #565656;\">Autor: Jos\u00e9 Gonz\u00e1lez Campos<\/span><\/strong><br \/>A\u00f1o: 2023<br \/>Materia: Investigaci\u00f3n educacional<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.19053\/22160159.v13.n35.2022.14096\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Teacher training: The link between academic performance and success in professional practice<\/a><br \/><span style=\"color: #565656;\">Autor: Jos\u00e9 Gonz\u00e1lez Campos<\/span><\/strong><br \/>A\u00f1o: 2022<br \/>Materia: Investigaci\u00f3n educacional<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.22352\/saustral20222809\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Educaci\u00f3n para j\u00f3venes y adultos. Compromiso social postergado por la formaci\u00f3n Inicial docente<\/a><br \/><span style=\"color: #565656;\">Autor: Jos\u00e9 Gonz\u00e1lez Campos<\/span><\/strong><br \/>A\u00f1o: 2022<br \/>Materia: Investigaci\u00f3n educacional<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.15517\/revedu.v46i1.45411\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Investigaci\u00f3n y formaci\u00f3n: Un di\u00e1logo necesario<\/a><br \/><span style=\"color: #565656;\">Autor: Jos\u00e9 Gonz\u00e1lez Campos<\/span><\/strong><br \/>A\u00f1o: 2022<br \/>Materia: Investigaci\u00f3n educacional<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.33554\/riv.15.3.811\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Construcci\u00f3n del perfil de egreso: Propuesta para la formaci\u00f3n inicial docente en Chile<\/a><br \/><span style=\"color: #565656;\">Autor: Jos\u00e9 Gonz\u00e1lez Campos<\/span><\/strong><br \/>A\u00f1o: 2021<br \/>Materia: Investigaci\u00f3n educacional<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.33881\/2027-1786.rip.14101\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Propuesta de estimador de la fiabilidad mediante Alfa-Game<\/a><br \/><span style=\"color: #565656;\">Autor: Jos\u00e9 Gonz\u00e1lez Campos<\/span><\/strong><br \/>A\u00f1o: 2021<br \/>Materia: Inferencia estad\u00edstica<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.22347\/2175-2753v12i35.2500\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Aproximaci\u00f3n cuantitativa del logro del perfil de egreso desde la perspectiva de los estudiantes<\/a><br \/><span style=\"color: #565656;\">Autor: Jos\u00e9 Gonz\u00e1lez Campos<\/span><\/strong><br \/>A\u00f1o: 2021<br \/>Materia: Inferencia estad\u00edstica<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.19083\/ridu.2019.1080\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Hacia la estandarizaci\u00f3n de los perfiles de egreso de los programas de doctorado<\/a><br \/><span style=\"color: #565656;\">Autor: Jos\u00e9 Gonz\u00e1lez Campos<\/span><\/strong><br \/>A\u00f1o: 2019<br \/>Materia: Investigaci\u00f3n educacional<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.33010\/ie_rie_rediech.v10i19.707\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Evaluaci\u00f3n de la pol\u00edtica p\u00fablica en centros escolares suscritos a la Ley de Subvenci\u00f3n Escolar Preferencial<\/a><br \/><span style=\"color: #565656;\">Autor: Jos\u00e9 Gonz\u00e1lez Campos<\/span><\/strong><br \/>A\u00f1o: 2019<br \/>Materia: Pol\u00edticas y gesti\u00f3n en sistemas educativos para el logro de aprendizajes<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.33010\/ie_rie_rediech.v10i18.604\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Perfil de egreso doctoral: Una propuesta desde el an\u00e1lisis documental y las expectativas de los doctorandos<\/a><br \/><span style=\"color: #565656;\">Autor: Jos\u00e9 Gonz\u00e1lez Campos<\/span><\/strong><br \/>A\u00f1o: 2019<br \/>Materia: Investigaci\u00f3n educacional<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.15359\/ree.23-2.2\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Impacto de las habilidades de comprensi\u00f3n lectora en el aprendizaje escolar: Un estudio realizado en una comuna de la Regi\u00f3n Metropolitana, Chile<\/a><br \/><span style=\"color: #565656;\">Autor: Jos\u00e9 Gonz\u00e1lez Campos<\/span><\/strong><br \/>A\u00f1o: 2019<br \/>Materia: Investigaci\u00f3n educacional<\/p>\n<hr \/>\n<p><strong><a href=\"http:\/\/dx.doi.org\/10.24844\/EM3203.05\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Situaciones did\u00e1cticas a trav\u00e9s de Scratch para la conceptualizaci\u00f3n num\u00e9rica en estudiantes de cuarto a\u00f1o de ense\u00f1anza b\u00e1sica: Un caso de estudio<\/a><br \/><span style=\"color: #565656;\">Autor: \u00d3scar Caneo Salinas<\/span><\/strong><br \/>A\u00f1o: 2020<br \/>Materia: Investigaci\u00f3n educacional<\/p>\n<hr \/>\n<p><strong><span style=\"color: #565656;\">Literacy or Statistical? That is the question<\/span><br \/><span style=\"color: #565656;\">Autor: Reinaldo Salazar Espinoza<\/span><\/strong><br \/>A\u00f1o: 2024<br \/>Materia: Investigaci\u00f3n educacional<\/p>\n<p>The scientific journal International journal of education and practice<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.3390\/math11194056\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Metric relations in the fuzzy right triangle<\/a><br \/><span style=\"color: #565656;\">Autor: Ronald Manr\u00edquez Pe\u00f1afiel<\/span><\/strong><br \/>A\u00f1o: 2023<br \/>Materia: Modelo sint\u00e9tico de geometr\u00eda euclidiana plana y del espacio. Geometr\u00edas no euclidianas<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.48550\/arXiv.2204.04979\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">General nilpotent and solvable approximations of Almost-Riemannian Structures<\/a><br \/><span style=\"color: #565656;\">Autor: Ronald Manr\u00edquez Pe\u00f1afiel<\/span><\/strong><br \/>A\u00f1o: 2023<br \/>Materia: Modelo sint\u00e9tico de geometr\u00eda euclidiana plana y del espacio. Geometr\u00edas no euclidianas<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/dx.doi.org\/10.3934\/mcrf.2021023\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Solvable approximations of 3-dimensional almost-Riemannian structures<\/a><br \/><span style=\"color: #565656;\">Autor: Ronald Manr\u00edquez Pe\u00f1afiel<\/span><\/strong><br \/>A\u00f1o: 2022<br \/>Materia: Modelo sint\u00e9tico de geometr\u00eda euclidiana plana y del espacio. Geometr\u00edas no euclidianas<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.3390\/ijerph18094432\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Spread of epidemic disease on edge-weighted graphs from a database: A case study of Covid-19<\/a><br \/><span style=\"color: #565656;\">Autor: Ronald Manr\u00edquez Pe\u00f1afiel<\/span><\/strong><br \/>A\u00f1o: 2021<br \/>Materia: Modelos de evoluci\u00f3n y modelamiento con matem\u00e1ticas discreta<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.3390\/sym13050902\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">A generalization of the importance of vertices for an undirected weighted graph<\/a><br \/><span style=\"color: #565656;\">Autor: Ronald Manr\u00edquez Pe\u00f1afiel<\/span><\/strong><br \/>A\u00f1o: 2021<br \/>Materia: Matem\u00e1ticas discretas<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.3390\/biology10070667\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Protection strategy against an epidemic disease on edge-weighted graphs applied to a COVID-19 case<\/a><br \/><span style=\"color: #565656;\">Autor: Ronald Manr\u00edquez Pe\u00f1afiel<\/span><\/strong><br \/>A\u00f1o: 2021<br \/>Materia: Modelos de evoluci\u00f3n y Modelamiento con matem\u00e1ticas discreta<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.3390\/app11115115\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Protection strategy for edge-weighted graphs in disease spread<\/a><br \/><span style=\"color: #565656;\">Autor: Ronald Manr\u00edquez Pe\u00f1afiel<\/span><\/strong><br \/>A\u00f1o: 2021<br \/>Materia: Modelos de evoluci\u00f3n y Modelamiento con matem\u00e1ticas discreta<\/p>\n<p>[\/et_pb_tab][et_pb_tab title=\u00bbCap\u00edtulo de libro\u00bb _builder_version=\u00bb4.25.1&#8243; _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb]<strong><span style=\"color: #565656;\"><a href=\"http:\/\/www.grupomagro.com\/\" target=\"_blank\" rel=\"noopener\" title=\"Ver\">La investigaci\u00f3n formativa en las Instituciones de Educaci\u00f3n Superior: Un primer acercamiento<\/a><br \/>\nAutor: Cristian Carvajal Muquillaza<\/span><\/strong><br \/>\nA\u00f1o: 2023<br \/>\nMateria: Investigaci\u00f3n educacional<\/p>\n<hr \/>\n<p><strong><a href=\"https:\/\/doi.org\/10.1007\/978-3-030-90850-8_8\" target=\"_blank\" rel=\"noopener\" title=\"Ver el art\u00edculo\">Mathematical work in the digital age: Variety of tools and the role of geneses<\/a><br \/>\n<span style=\"color: #565656;\">Autor: Jorge Gaona Paredes<\/span><\/strong><br \/>\nA\u00f1o: 2022<br \/>\nMateria: Conceptos de computaci\u00f3n bajo un modelo matem\u00e1tico[\/et_pb_tab][et_pb_tab title=\u00bbLibro\u00bb _builder_version=\u00bb4.25.1&#8243; _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb]<\/p>\n<p><strong><span style=\"color: #565656;\"><a href=\"http:\/\/simes.upla.cl\/descargar-libro\/\" target=\"_blank\" rel=\"noopener\" title=\"Ver\">Modelos Universitarios en Chile: Elementos basales para la formulaci\u00f3n de modelos universitarios en tiempos de incertidumbre y liquidez<\/a><br \/>Autor: Cristian Carvajal Muquillaza<\/span><\/strong><br \/>A\u00f1o: 2022<br \/>Materia: Pol\u00edticas y gesti\u00f3n en sistemas educativos para el logro de aprendizaje<\/p>\n<p>[\/et_pb_tab][\/et_pb_tabs][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=\u00bb1&#8243; admin_label=\u00bbSecci\u00f3n footer\u00bb _builder_version=\u00bb4.22.2&#8243; _module_preset=\u00bbdefault\u00bb background_color=\u00bb#e5e5e5&#8243; background_enable_image=\u00bboff\u00bb min_height=\u00bb144.2px\u00bb custom_margin=\u00bb2px|||||\u00bb custom_padding=\u00bb50px||3px|||\u00bb border_width_top=\u00bb1px\u00bb border_color_top=\u00bbRGBA(255,255,255,0)\u00bb border_style_top=\u00bboutset\u00bb global_module=\u00bb125&#8243; saved_tabs=\u00bball\u00bb collapsed=\u00bboff\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_row column_structure=\u00bb1_4,1_4,1_4,1_4&#8243; _builder_version=\u00bb4.24.3&#8243; _module_preset=\u00bbdefault\u00bb max_width=\u00bb2560px\u00bb min_height=\u00bb247.9px\u00bb custom_margin=\u00bb|auto|23px|auto|false|false\u00bb custom_padding=\u00bb|20px||20px|false|true\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_column type=\u00bb1_4&#8243; _builder_version=\u00bb4.20.4&#8243; _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_image src=\u00bbhttps:\/\/upla.cl\/pedagogiaenmatematica\/wp-content\/uploads\/2024\/05\/im-upla.png\u00bb alt=\u00bbUniversidad de Playa Ancha\u00bb title_text=\u00bbim-upla\u00bb url=\u00bbhttps:\/\/www.upla.cl\/portada\/\u00bb align_tablet=\u00bb\u00bb align_phone=\u00bbcenter\u00bb align_last_edited=\u00bbon|phone\u00bb _builder_version=\u00bb4.22.2&#8243; _module_preset=\u00bbdefault\u00bb custom_padding_tablet=\u00bb\u00bb custom_padding_phone=\u00bb|30px||30px|false|true\u00bb custom_padding_last_edited=\u00bbon|phone\u00bb global_colors_info=\u00bb{}\u00bb][\/et_pb_image][et_pb_text _builder_version=\u00bb4.25.1&#8243; _module_preset=\u00bbdefault\u00bb text_text_color=\u00bb#565656&#8243; text_font_size=\u00bb15px\u00bb text_line_height=\u00bb1.2em\u00bb custom_padding=\u00bb|10px|||false|false\u00bb custom_padding_tablet=\u00bb|10px|||false|false\u00bb custom_padding_phone=\u00bb|30px||30px|false|true\u00bb custom_padding_last_edited=\u00bbon|phone\u00bb text_orientation_tablet=\u00bb\u00bb text_orientation_phone=\u00bbcenter\u00bb text_orientation_last_edited=\u00bbon|desktop\u00bb global_colors_info=\u00bb{}\u00bb]<\/p>\n<p style=\"text-align: left;\"><strong>Pedagog\u00eda en Matem\u00e1tica, Facultad de Ciencias Naturales y Exactas<\/strong><\/p>\n<p style=\"text-align: left;\"><span style=\"color: #565656;\"><a href=\"https:\/\/maps.app.goo.gl\/3yUwsvHjHyVvcixr5\" target=\"_blank\" rel=\"noopener\" style=\"color: #565656;\">Subida Leopoldo Carvallo 270, cerro Playa Ancha, Valpara\u00edso.<\/a><\/span><\/p>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=\u00bb1_4&#8243; _builder_version=\u00bb4.20.4&#8243; _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_image src=\u00bbhttps:\/\/upla.cl\/pedagogiaenmatematica\/wp-content\/uploads\/2024\/06\/upla_acreditada_2022-2027-color.png\u00bb alt=\u00bbUPLA_acreditada_2022-2027&#8243; title_text=\u00bbupla_acreditada_2022-2027-color\u00bb align_tablet=\u00bb\u00bb align_phone=\u00bbcenter\u00bb align_last_edited=\u00bbon|phone\u00bb _builder_version=\u00bb4.25.2&#8243; _module_preset=\u00bbdefault\u00bb width_tablet=\u00bb\u00bb width_phone=\u00bb100%\u00bb width_last_edited=\u00bbon|phone\u00bb custom_margin=\u00bb-10px||||false|false\u00bb custom_margin_tablet=\u00bb\u00bb custom_margin_phone=\u00bb\u00bb custom_margin_last_edited=\u00bbon|desktop\u00bb custom_padding=\u00bb||0px|||\u00bb global_colors_info=\u00bb{}\u00bb][\/et_pb_image][et_pb_divider color=\u00bb#009bdb\u00bb divider_position=\u00bbcenter\u00bb disabled_on=\u00bboff|off|on\u00bb _builder_version=\u00bb4.22.2&#8243; _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][\/et_pb_divider][\/et_pb_column][et_pb_column type=\u00bb1_4&#8243; _builder_version=\u00bb4.22.2&#8243; _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_blurb title=\u00bbEnlaces relacionados\u00bb _builder_version=\u00bb4.25.1&#8243; _module_preset=\u00bbdefault\u00bb header_font=\u00bbLato|700|||||||\u00bb header_text_color=\u00bb#565656&#8243; header_font_size=\u00bb16px\u00bb body_font=\u00bbLato||||||||\u00bb body_font_size=\u00bb15px\u00bb body_link_text_color=\u00bb#565656&#8243; custom_padding=\u00bb|10px|0px||false|false\u00bb custom_padding_tablet=\u00bb|10px|||false|false\u00bb custom_padding_phone=\u00bb|30px||30px|false|true\u00bb custom_padding_last_edited=\u00bbon|phone\u00bb header_text_align_tablet=\u00bb\u00bb header_text_align_phone=\u00bbcenter\u00bb header_text_align_last_edited=\u00bbon|phone\u00bb body_text_color_last_edited=\u00bboff|desktop\u00bb text_orientation_tablet=\u00bb\u00bb text_orientation_phone=\u00bbleft\u00bb text_orientation_last_edited=\u00bbon|phone\u00bb global_colors_info=\u00bb{}\u00bb body_text_color__hover_enabled=\u00bbon|desktop\u00bb body_text_color__hover=\u00bb#009bdb\u00bb]&gt; <a href=\"https:\/\/upla.cl\/facultad\/cienciasnaturalesyexactas\/\" title=\"Facultad de Ciencias Naturales y Exactas (UPLA)\">Facultad de Ciencias Naturales y Exactas<\/a><br \/>\n&gt; <a href=\"https:\/\/upla.cl\/jornadaciencias\/\" target=\"_blank\" rel=\"noopener\" title=\"Jornada de Ense\u00f1anza de las Ciencias\">Jornada de Ense\u00f1anza de las Ciencias<\/a><br \/>\n&gt; <a href=\"https:\/\/www.upla.cl\/postgrado\/doctorado\/interdisciplinario-en-ciencias-ambientales\/\" target=\"_blank\" rel=\"noopener\" title=\"Doctorado Interdisciplinario en Ense\u00f1anza de las Ciencias\">Doctorado Interdisciplinario en <\/a><a href=\"https:\/\/www.upla.cl\/postgrado\/doctorado\/interdisciplinario-en-ciencias-ambientales\/\" target=\"_blank\" rel=\"noopener\" title=\"Doctorado Interdisciplinario en Ense\u00f1anza de las Ciencias\">Ense\u00f1anza de las Ciencias<\/a><br \/>\n&gt; <a href=\"https:\/\/www.upla.cl\/postgrado\/magisteres\/magister-en-ensenanza-de-las-ciencias\/\" target=\"_blank\" rel=\"noopener\" title=\"Mag\u00edster en Ense\u00f1anza de las Ciencias\">Mag\u00edster en Ense\u00f1anza de las Ciencias<\/a>[\/et_pb_blurb][et_pb_divider color=\u00bb#009bdb\u00bb divider_position=\u00bbcenter\u00bb disabled_on=\u00bboff|off|on\u00bb _builder_version=\u00bb4.22.2&#8243; _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][\/et_pb_divider][\/et_pb_column][et_pb_column type=\u00bb1_4&#8243; _builder_version=\u00bb4.20.4&#8243; _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_text _builder_version=\u00bb4.22.2&#8243; _module_preset=\u00bbdefault\u00bb text_font=\u00bb|700|||||||\u00bb text_text_color=\u00bb#565656&#8243; text_line_height=\u00bb1.2em\u00bb header_text_align_tablet=\u00bb\u00bb header_text_align_phone=\u00bbcenter\u00bb header_text_align_last_edited=\u00bbon|phone\u00bb global_colors_info=\u00bb{}\u00bb]<\/p>\n<p style=\"text-align: center;\"><strong>Buscar en UPLA.cl:<\/strong><\/p>\n<p style=\"text-align: right;\"><strong><\/strong><\/p>\n<form id=\"accesos\" action=\"\" style=\"text-align: center;\"><select name=\"sitio\" onchange=\"window.location = (document.forms.accesos.sitio[document.forms.accesos.sitio.selectedIndex].value);\"><option>Acceso directo:<\/option><option value=\"http:\/\/www.upla.cl\/\">UPLA.cl<\/option><option value=\"http:\/\/sitios.upla.cl\/universidad\/\">La Universidad<\/option><option value=\"http:\/\/sitios.upla.cl\/organigrama\/\">Organigrama<\/option><option value=\"http:\/\/www.upla.cl\/calidad\/acreditacion-upla\/\">Acreditaci\u00f3n<\/option><option value=\"http:\/\/sitios.upla.cl\/campus\/\">Campus &#8211; 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