{"id":46,"date":"2024-05-28T12:00:47","date_gmt":"2024-05-28T16:00:47","guid":{"rendered":"https:\/\/upla.cl\/pedagogiaenmatematica\/?page_id=46"},"modified":"2026-03-13T16:35:30","modified_gmt":"2026-03-13T19:35:30","slug":"plan-de-estudios","status":"publish","type":"page","link":"https:\/\/upla.cl\/pedagogiaenmatematica\/plan-de-estudios\/","title":{"rendered":"Plan de estudios"},"content":{"rendered":"

[et_pb_section fb_built=\u00bb1″ admin_label=\u00bbBanner carrera con info instant\u00e1nea\u00bb _builder_version=\u00bb4.27.4″ use_background_color_gradient=\u00bbon\u00bb background_color_gradient_stops=\u00bb#565656 0%|rgba(255,255,255,0) 97%\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\/2025\/08\/matematica_geometria.jpg\u00bb background_position=\u00bbtop_center\u00bb custom_margin=\u00bb|||\u00bb custom_padding=\u00bb2.5%||10.4%|||\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_row column_structure=\u00bb1_2,1_2″ _builder_version=\u00bb4.19.3″ _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_column type=\u00bb1_2″ _builder_version=\u00bb4.19.3″ _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_cta title=\u00bbPEDAGOG\u00cdA EN MATEM\u00c1TICA\u00bb button_url=\u00bb#\u00bb _builder_version=\u00bb4.27.4″ header_level=\u00bbh1″ 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||0px|||\u00bb animation_style=\u00bbfold\u00bb animation_intensity_fold=\u00bb16%\u00bb header_font_size_tablet=\u00bb46px\u00bb header_font_size_phone=\u00bb200%\u00bb header_font_size_last_edited=\u00bbon|tablet\u00bb header_text_shadow_style=\u00bbpreset2″ header_text_shadow_color=\u00bbrgba(0,0,0,0.6)\u00bb text_shadow_style=\u00bbpreset3″ button_letter_spacing_hover=\u00bb2px\u00bb global_colors_info=\u00bb%91%93″ button_text_size__hover_enabled=\u00bboff\u00bb button_one_text_size__hover_enabled=\u00bboff\u00bb button_two_text_size__hover_enabled=\u00bboff\u00bb button_text_color__hover_enabled=\u00bboff\u00bb button_one_text_color__hover_enabled=\u00bboff\u00bb button_two_text_color__hover_enabled=\u00bboff\u00bb button_border_width__hover_enabled=\u00bboff\u00bb button_one_border_width__hover_enabled=\u00bboff\u00bb button_two_border_width__hover_enabled=\u00bboff\u00bb button_border_color__hover_enabled=\u00bboff\u00bb button_one_border_color__hover_enabled=\u00bboff\u00bb 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

T\u00edtulo: Profesor o Profesora de Matem\u00e1tica<\/strong>
Grado Acad\u00e9mico: Licenciado o Licenciada en Educaci\u00f3n<\/strong>
Campus Valpara\u00edso \/ Carrera Diurna<\/strong>
Duraci\u00f3n: 10 semestres<\/strong>
C\u00f3digo: 26073<\/strong><\/p>\n

[\/et_pb_cta][et_pb_button button_url=\u00bbhttps:\/\/www.upla.cl\/calidad\/acreditacion\/carreras-pregrado-acreditadas-2\/#matematica\u00bb url_new_window=\u00bbon\u00bb button_text=\u00bbVer estado de Acreditaci\u00f3n de la carrera\u00bb button_alignment=\u00bbleft\u00bb admin_label=\u00bbVer estado de Acreditaci\u00f3n de la carrera\u00bb _builder_version=\u00bb4.27.5″ _module_preset=\u00bbdefault\u00bb custom_button=\u00bbon\u00bb button_text_size=\u00bb17px\u00bb button_text_color=\u00bb#FFFFFF\u00bb button_bg_color=\u00bb#B33F34″ button_border_width=\u00bb0px\u00bb button_border_radius=\u00bb5px\u00bb button_font=\u00bb||||||||\u00bb button_use_icon=\u00bboff\u00bb custom_margin=\u00bb||||false|true\u00bb custom_margin_tablet=\u00bb||||false|true\u00bb custom_margin_phone=\u00bb|7%||7%|false|true\u00bb custom_margin_last_edited=\u00bbon|phone\u00bb button_bg_color_tablet=\u00bb#B33F34″ button_bg_color_phone=\u00bb#B33F34″ button_bg_color_last_edited=\u00bbon|desktop\u00bb global_module=\u00bb127622″ saved_tabs=\u00bball\u00bb global_colors_info=\u00bb{}\u00bb button_bg_color__hover_enabled=\u00bbon|hover\u00bb button_bg_color__hover=\u00bb#009BDB\u00bb button_bg_enable_color__hover=\u00bbon\u00bb][\/et_pb_button][\/et_pb_column][et_pb_column type=\u00bb1_2″ _builder_version=\u00bb4.19.3″ _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=\u00bb1″ admin_label=\u00bbPerfil y bienvenida\u00bb _builder_version=\u00bb4.25.1″ _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 column_structure=\u00bb1_3,1_3,1_3″ use_custom_gutter=\u00bbon\u00bb _builder_version=\u00bb4.25.1″ _module_preset=\u00bbdefault\u00bb background_color=\u00bb#FFFFFF\u00bb max_width=\u00bb2560px\u00bb custom_margin=\u00bb-10%|auto|-10px|auto|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=\u00bb20px|0px|50px|0px|false|false\u00bb animation_style=\u00bbslide\u00bb border_radii=\u00bbon|15px|15px|15px|15px\u00bb border_width_top=\u00bb18px\u00bb border_color_top=\u00bb#b33f34″ border_style_top=\u00bboutset\u00bb box_shadow_style=\u00bbpreset3″ box_shadow_vertical=\u00bb39px\u00bb box_shadow_blur=\u00bb80px\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_column type=\u00bb1_3″ _builder_version=\u00bb4.22.1″ _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_text _builder_version=\u00bb4.25.1″ _module_preset=\u00bbdefault\u00bb text_font=\u00bb|800|||||||\u00bb text_text_color=\u00bb#004562″ text_font_size=\u00bb25px\u00bb text_line_height=\u00bb1.6em\u00bb header_2_font=\u00bb|700|||||||\u00bb header_2_text_align=\u00bbleft\u00bb header_2_text_color=\u00bb#565656″ header_2_font_size=\u00bb32px\u00bb text_orientation=\u00bbcenter\u00bb custom_margin_tablet=\u00bb\u00bb custom_margin_phone=\u00bb||5%||false|false\u00bb custom_margin_last_edited=\u00bbon|phone\u00bb custom_padding=\u00bb50px||20px|30px|false|false\u00bb custom_padding_tablet=\u00bb50px||20px|30px|false|false\u00bb custom_padding_phone=\u00bb50px||20px|30px|false|false\u00bb custom_padding_last_edited=\u00bbon|phone\u00bb global_colors_info=\u00bb{}\u00bb]<\/p>\n

Plan de Estudios<\/h2>\n

[\/et_pb_text][\/et_pb_column][et_pb_column type=\u00bb1_3″ _builder_version=\u00bb4.22.1″ _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][\/et_pb_column][et_pb_column type=\u00bb1_3″ _builder_version=\u00bb4.22.1″ _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_button button_url=\u00bbhttps:\/\/upla.cl\/pedagogiaenmatematica\/wp-content\/uploads\/2025\/08\/20250828_viceacademica_perfilesymallas_pedmat.pdf\u00bb url_new_window=\u00bbon\u00bb button_text=\u00bbDescarga aqu\u00ed la Malla Curricular en PDF\u00bb button_alignment=\u00bbcenter\u00bb admin_label=\u00bbMalla curricular de la carrera\u00bb _builder_version=\u00bb4.27.4″ _module_preset=\u00bbdefault\u00bb custom_button=\u00bbon\u00bb button_text_size=\u00bb17px\u00bb button_text_color=\u00bb#FFFFFF\u00bb button_bg_color=\u00bb#B33F34″ button_border_width=\u00bb2px\u00bb button_border_color=\u00bbRGBA(255,255,255,0)\u00bb button_border_radius=\u00bb5px\u00bb button_font=\u00bb||||||||\u00bb custom_margin=\u00bb11.4%|17%|||false|false\u00bb custom_margin_tablet=\u00bb11.4%|17%|||false|false\u00bb custom_margin_phone=\u00bb0%|5%||5%|false|true\u00bb custom_margin_last_edited=\u00bbon|desktop\u00bb custom_padding=\u00bb||||false|false\u00bb button_border_width_last_edited=\u00bboff|phone\u00bb global_colors_info=\u00bb{}\u00bb button_border_width__hover_enabled=\u00bbon|hover\u00bb button_border_radius__hover_enabled=\u00bbon|hover\u00bb button_border_width__hover=\u00bb0px\u00bb button_border_radius__hover=\u00bb15px\u00bb][\/et_pb_button][\/et_pb_column][\/et_pb_row][et_pb_row use_custom_gutter=\u00bbon\u00bb _builder_version=\u00bb4.26.0″ _module_preset=\u00bbdefault\u00bb background_color=\u00bb#FFFFFF\u00bb max_width=\u00bb2560px\u00bb custom_margin=\u00bb-46px|auto||auto|false|false\u00bb custom_margin_tablet=\u00bb-10%||12px||false|false\u00bb custom_margin_phone=\u00bb||||false|false\u00bb custom_margin_last_edited=\u00bbon|phone\u00bb custom_padding=\u00bb||||false|false\u00bb animation_style=\u00bbslide\u00bb border_radii=\u00bbon|15px|15px|15px|15px\u00bb border_color_top=\u00bb#b33f34″ border_style_top=\u00bboutset\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_column type=\u00bb4_4″ _builder_version=\u00bb4.22.1″ _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_accordion _builder_version=\u00bb4.27.5″ _module_preset=\u00bbdefault\u00bb hover_enabled=\u00bb0″ global_colors_info=\u00bb{}\u00bb sticky_enabled=\u00bb0″][et_pb_accordion_item title=\u00bbPrimer semestre\u00bb open=\u00bbon\u00bb open_toggle_text_color=\u00bb#009BDB\u00bb closed_toggle_text_color=\u00bb#009BDB\u00bb icon_color=\u00bb#009BDB\u00bb toggle_icon=\u00bb||fa||900″ _builder_version=\u00bb4.27.5″ _module_preset=\u00bbdefault\u00bb custom_margin=\u00bb|5%||5%|false|true\u00bb hover_enabled=\u00bb0″ border_radii=\u00bbon|15px|15px|15px|15px\u00bb border_color_all=\u00bb#009BDB\u00bb border_style_all=\u00bboutset\u00bb global_colors_info=\u00bb{}\u00bb toggle_text_color=\u00bb#009BDB\u00bb toggle_level=\u00bbh3″ toggle_font=\u00bb–et_global_body_font|700|||||||\u00bb closed_toggle_font=\u00bb|700|||||||\u00bb sticky_enabled=\u00bb0″]<\/p>\n\n\n\n\n\n\n\n\n\n\n
Actividad Curricular<\/strong><\/td>\nSCT-UPLA<\/strong><\/td>\n<\/tr>\n
TIC para la Vida Acad\u00e9mica<\/td>\n2<\/td>\n<\/tr>\n
\u00c1lgebra<\/td>\n6<\/td>\n<\/tr>\n
Fundamentos Matem\u00e1ticos<\/td>\n6<\/td>\n<\/tr>\n
Fortalecimiento de Competencia Disciplinar Inicial<\/td>\n6<\/td>\n<\/tr>\n
Modelo Cartesiano de la Geometr\u00eda Euclidiana<\/td>\n6<\/td>\n<\/tr>\n
Filosof\u00eda de la Educaci\u00f3n<\/td>\n4<\/td>\n<\/tr>\n
Total<\/span><\/strong><\/td>\n30<\/span><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

[\/et_pb_accordion_item][et_pb_accordion_item title=\u00bbSegundo semestre\u00bb open_toggle_text_color=\u00bb#009BDB\u00bb closed_toggle_text_color=\u00bb#009BDB\u00bb icon_color=\u00bb#009BDB\u00bb toggle_icon=\u00bb||fa||900″ _builder_version=\u00bb4.27.4″ _module_preset=\u00bbdefault\u00bb custom_margin=\u00bb|5%||5%|false|true\u00bb border_radii=\u00bbon|15px|15px|15px|15px\u00bb border_color_all=\u00bb#009BDB\u00bb border_style_all=\u00bboutset\u00bb global_colors_info=\u00bb{}\u00bb toggle_text_color=\u00bb#009BDB\u00bb toggle_level=\u00bbh3″ toggle_font=\u00bb–et_global_body_font|700|||||||\u00bb closed_toggle_font=\u00bb|700|||||||\u00bb open=\u00bboff\u00bb]<\/p>\n\n\n\n\n\n\n\n\n\n\n
Actividad Curricular<\/strong><\/td>\nSCT-UPLA<\/strong><\/td>\n<\/tr>\n
Comunicaci\u00f3n Oral y Escrita en Espa\u00f1ol<\/td>\n3<\/td>\n<\/tr>\n
Sistemas Num\u00e9ricos Referenciales<\/td>\n8<\/td>\n<\/tr>\n
Prec\u00e1lculo<\/td>\n5<\/td>\n<\/tr>\n
Estad\u00edstica Descriptiva<\/td>\n6<\/td>\n<\/tr>\n
Fundamentos Sociol\u00f3gicos de la Educaci\u00f3n<\/td>\n4<\/td>\n<\/tr>\n
Psicolog\u00eda del Desarrollo<\/td>\n4<\/td>\n<\/tr>\n
Total<\/span><\/strong><\/td>\n30<\/span><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

[\/et_pb_accordion_item][et_pb_accordion_item title=\u00bbTercer semestre\u00bb open_toggle_text_color=\u00bb#009BDB\u00bb closed_toggle_text_color=\u00bb#009BDB\u00bb icon_color=\u00bb#009BDB\u00bb toggle_icon=\u00bb||fa||900″ _builder_version=\u00bb4.27.4″ _module_preset=\u00bbdefault\u00bb custom_margin=\u00bb|5%||5%|false|true\u00bb border_radii=\u00bbon|15px|15px|15px|15px\u00bb border_color_all=\u00bb#009BDB\u00bb border_style_all=\u00bboutset\u00bb global_colors_info=\u00bb{}\u00bb toggle_text_color=\u00bb#009BDB\u00bb toggle_level=\u00bbh3″ toggle_font=\u00bb–et_global_body_font|700|||||||\u00bb closed_toggle_font=\u00bb|700|||||||\u00bb open=\u00bboff\u00bb]<\/p>\n\n\n\n\n\n\n\n\n\n\n\n
Actividad Curricular<\/strong><\/td>\nSCT-UPLA<\/strong><\/td>\n<\/tr>\n
Lengua Extranjera Oral y Escrita (Ingl\u00e9s), Nivel Elemental<\/td>\n3<\/td>\n<\/tr>\n
\u00c1lgebra Lineal<\/td>\n6<\/td>\n<\/tr>\n
C\u00e1lculo Diferencial e Integral en Una Variable<\/td>\n8<\/td>\n<\/tr>\n
Modelo Sint\u00e9tico de Geometr\u00eda Euclidiana Plana<\/td>\n6<\/td>\n<\/tr>\n
Softwares para la Matem\u00e1tica<\/td>\n3<\/td>\n<\/tr>\n
Psicolog\u00eda del Educacional y del Aprendizaje<\/td>\n4<\/td>\n<\/tr>\n
Total<\/span><\/strong><\/td>\n30<\/span><\/strong><\/td>\n<\/tr>\n
Derechos Humanos, G\u00e9nero e Inclusi\u00f3n (opcionalmente, se puede cursar en el tercer, cuarto, s\u00e9ptimo u octavo semestre)<\/td>\n3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

[\/et_pb_accordion_item][et_pb_accordion_item title=\u00bbCuarto semestre\u00bb open_toggle_text_color=\u00bb#009BDB\u00bb closed_toggle_text_color=\u00bb#009BDB\u00bb icon_color=\u00bb#009BDB\u00bb toggle_icon=\u00bb||fa||900″ _builder_version=\u00bb4.27.4″ _module_preset=\u00bbdefault\u00bb custom_margin=\u00bb|5%||5%|false|true\u00bb border_radii=\u00bbon|15px|15px|15px|15px\u00bb border_color_all=\u00bb#009BDB\u00bb border_style_all=\u00bboutset\u00bb global_colors_info=\u00bb{}\u00bb toggle_text_color=\u00bb#009BDB\u00bb toggle_level=\u00bbh3″ toggle_font=\u00bb–et_global_body_font|700|||||||\u00bb closed_toggle_font=\u00bb|700|||||||\u00bb open=\u00bboff\u00bb]<\/p>\n

 <\/p>\n\n\n\n\n\n\n\n\n\n\n\n
Actividad Curricular<\/strong><\/td>\nSCT-UPLA<\/strong><\/td>\n<\/tr>\n
Lengua Extranjera Oral y Escrita (Ingl\u00e9s), Nivel B\u00e1sico<\/td>\n3<\/td>\n<\/tr>\n
C\u00e1lculo en Varias Variables<\/td>\n6<\/td>\n<\/tr>\n
Pr\u00e1ctica Inicial<\/td>\n4<\/td>\n<\/tr>\n
Modelo Sint\u00e9tico de Geometr\u00eda Euclidiana del Espacio y Transformaciones Geom\u00e9tricas<\/td>\n6<\/td>\n<\/tr>\n
Fundamentos del Pensamiento Computacional<\/td>\n4<\/td>\n<\/tr>\n
Introducci\u00f3n a la Did\u00e1ctica<\/td>\n4<\/td>\n<\/tr>\n
Total<\/span><\/strong><\/td>\n27<\/span><\/strong><\/td>\n<\/tr>\n
Derechos Humanos, G\u00e9nero e Inclusi\u00f3n (opcionalmente, se puede cursar en el tercer, cuarto, s\u00e9ptimo u octavo semestre)
<\/span><\/strong><\/td>\n		3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

[\/et_pb_accordion_item][et_pb_accordion_item title=\u00bbQuinto semestre\u00bb open_toggle_text_color=\u00bb#009BDB\u00bb closed_toggle_text_color=\u00bb#009BDB\u00bb icon_color=\u00bb#009BDB\u00bb toggle_icon=\u00bb||fa||900″ _builder_version=\u00bb4.27.4″ _module_preset=\u00bbdefault\u00bb custom_margin=\u00bb|5%||5%|false|true\u00bb border_radii=\u00bbon|15px|15px|15px|15px\u00bb border_color_all=\u00bb#009BDB\u00bb border_style_all=\u00bboutset\u00bb global_colors_info=\u00bb{}\u00bb toggle_text_color=\u00bb#009BDB\u00bb toggle_level=\u00bbh3″ toggle_font=\u00bb–et_global_body_font|700|||||||\u00bb closed_toggle_font=\u00bb|700|||||||\u00bb open=\u00bboff\u00bb]<\/p>\n\n\n\n\n\n\n\n\n\n\n
Actividad Curricular<\/strong><\/td>\nSCT-UPLA<\/strong><\/td>\n<\/tr>\n
Lengua Extranjera Oral y Escrita (Ingl\u00e9s), Nivel B\u00e1sico Superior<\/td>\n3<\/td>\n<\/tr>\n
\u00c1lgebra Abstracta<\/td>\n7<\/td>\n<\/tr>\n
Pr\u00e1ctica en Educaci\u00f3n Matem\u00e1tica Inclusiva<\/td>\n6<\/td>\n<\/tr>\n
Pensamiento Computacional y Programaci\u00f3n Intermedia<\/td>\n6<\/td>\n<\/tr>\n
Orientaci\u00f3n Educacional para el Desarrollo de la Persona<\/td>\n4<\/td>\n<\/tr>\n
Curr\u00edculum Educacional<\/td>\n4<\/td>\n<\/tr>\n
Total<\/span><\/strong><\/td>\n30<\/span><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

[\/et_pb_accordion_item][et_pb_accordion_item title=\u00bbSexto semestre\u00bb open_toggle_text_color=\u00bb#009BDB\u00bb closed_toggle_text_color=\u00bb#009BDB\u00bb icon_color=\u00bb#009BDB\u00bb toggle_icon=\u00bb||fa||900″ _builder_version=\u00bb4.27.4″ _module_preset=\u00bbdefault\u00bb custom_margin=\u00bb|5%||5%|false|true\u00bb border_radii=\u00bbon|15px|15px|15px|15px\u00bb border_color_all=\u00bb#009BDB\u00bb border_style_all=\u00bboutset\u00bb global_colors_info=\u00bb{}\u00bb toggle_text_color=\u00bb#009BDB\u00bb toggle_level=\u00bbh3″ toggle_font=\u00bb–et_global_body_font|700|||||||\u00bb closed_toggle_font=\u00bb|700|||||||\u00bb open=\u00bboff\u00bb]<\/p>\n\n\n\n\n\n\n\n\n\n\n
Actividad Curricular<\/strong><\/td>\nSCT-UPLA<\/strong><\/td>\n<\/tr>\n
Did\u00e1ctica de \u00c1lgebra y de los N\u00fameros<\/td>\n6<\/td>\n<\/tr>\n
Probabilidad<\/td>\n6<\/td>\n<\/tr>\n
Pr\u00e1ctica Integradora de Saberes, Ciclo Inicial<\/td>\n4<\/td>\n<\/tr>\n
Pensamiento Computacional y Programaci\u00f3n Avanzada<\/td>\n6<\/td>\n<\/tr>\n
Evaluaci\u00f3n del Aprendizaje<\/td>\n4<\/td>\n<\/tr>\n
Pol\u00edtica y Gesti\u00f3n Educativa<\/td>\n4<\/td>\n<\/tr>\n
Total<\/span><\/strong><\/td>\n30<\/span><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

[\/et_pb_accordion_item][et_pb_accordion_item title=\u00bbS\u00e9ptimo semestre\u00bb open_toggle_text_color=\u00bb#009BDB\u00bb closed_toggle_text_color=\u00bb#009BDB\u00bb icon_color=\u00bb#009BDB\u00bb toggle_icon=\u00bb||fa||900″ _builder_version=\u00bb4.27.4″ _module_preset=\u00bbdefault\u00bb custom_margin=\u00bb|5%||5%|false|true\u00bb border_radii=\u00bbon|15px|15px|15px|15px\u00bb border_color_all=\u00bb#009BDB\u00bb border_style_all=\u00bboutset\u00bb global_colors_info=\u00bb{}\u00bb toggle_text_color=\u00bb#009BDB\u00bb toggle_level=\u00bbh3″ toggle_font=\u00bb–et_global_body_font|700|||||||\u00bb closed_toggle_font=\u00bb|700|||||||\u00bb open=\u00bboff\u00bb]<\/p>\n\n\n\n\n\n\n\n\n\n\n\n
Actividad Curricular<\/strong><\/td>\nSCT-UPLA<\/strong><\/td>\n<\/tr>\n
Lectura y Escritura para el Desarrollo Profesional<\/td>\n2<\/td>\n<\/tr>\n
Did\u00e1ctica del C\u00e1lculo<\/td>\n6<\/td>\n<\/tr>\n
Inferencia Estad\u00edstica<\/td>\n4<\/td>\n<\/tr>\n
Pr\u00e1ctica Intermedia<\/td>\n6<\/td>\n<\/tr>\n
Modelos de Geometr\u00eda no Euclidiana<\/td>\n4<\/td>\n<\/tr>\n
Investigaci\u00f3n Educacional<\/td>\n4<\/td>\n<\/tr>\n
Total<\/span><\/strong><\/td>\n26<\/span><\/strong><\/td>\n<\/tr>\n
Derechos Humanos, G\u00e9nero e Inclusi\u00f3n (opcionalmente, se puede cursar en el tercer, cuarto, s\u00e9ptimo u octavo semestre)<\/td>\n3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

[\/et_pb_accordion_item][et_pb_accordion_item title=\u00bbOctavo semestre\u00bb open_toggle_text_color=\u00bb#009BDB\u00bb closed_toggle_text_color=\u00bb#009BDB\u00bb icon_color=\u00bb#009BDB\u00bb toggle_icon=\u00bb||fa||900″ _builder_version=\u00bb4.27.4″ _module_preset=\u00bbdefault\u00bb custom_margin=\u00bb|5%||5%|false|true\u00bb border_radii=\u00bbon|15px|15px|15px|15px\u00bb border_color_all=\u00bb#009BDB\u00bb border_style_all=\u00bboutset\u00bb global_colors_info=\u00bb{}\u00bb toggle_text_color=\u00bb#009BDB\u00bb toggle_level=\u00bbh3″ toggle_font=\u00bb–et_global_body_font|700|||||||\u00bb closed_toggle_font=\u00bb|700|||||||\u00bb open=\u00bboff\u00bb]<\/p>\n\n\n\n\n\n\n\n\n\n\n\n
Actividad Curricular<\/strong><\/td>\nSCT-UPLA<\/strong><\/td>\n<\/tr>\n
Elementos de la Topolog\u00eda para Modelos Geom\u00e9tricos<\/td>\n4<\/td>\n<\/tr>\n
Did\u00e1ctica de la Probabilidad y Estad\u00edstica<\/td>\n6<\/td>\n<\/tr>\n
Pr\u00e1ctica Intermedia de Integraci\u00f3n<\/td>\n6<\/td>\n<\/tr>\n
Did\u00e1ctica de la Geometr\u00eda<\/td>\n4<\/td>\n<\/tr>\n
Dise\u00f1o de Entornos Virtuales para el Aprendizaje de la Matem\u00e1tica<\/td>\n4<\/td>\n<\/tr>\n
Tesis de Grado<\/td>\n8<\/td>\n<\/tr>\n
Total<\/span><\/strong><\/td>\n32<\/span><\/strong><\/td>\n<\/tr>\n
Derechos Humanos, G\u00e9nero e Inclusi\u00f3n (opcionalmente, se puede cursar en el tercer, cuarto, s\u00e9ptimo u octavo semestre)
<\/span><\/strong><\/td>\n		3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

[\/et_pb_accordion_item][et_pb_accordion_item title=\u00bbNoveno semestre\u00bb open_toggle_text_color=\u00bb#009BDB\u00bb closed_toggle_text_color=\u00bb#009BDB\u00bb icon_color=\u00bb#009BDB\u00bb toggle_icon=\u00bb||fa||900″ _builder_version=\u00bb4.27.4″ _module_preset=\u00bbdefault\u00bb custom_margin=\u00bb|5%||5%|false|true\u00bb border_radii=\u00bbon|15px|15px|15px|15px\u00bb border_color_all=\u00bb#009BDB\u00bb border_style_all=\u00bboutset\u00bb global_colors_info=\u00bb{}\u00bb toggle_text_color=\u00bb#009BDB\u00bb toggle_level=\u00bbh3″ toggle_font=\u00bb–et_global_body_font|700|||||||\u00bb closed_toggle_font=\u00bb|700|||||||\u00bb open=\u00bboff\u00bb]<\/p>\n\n\n\n\n\n\n\n\n\n\n
Actividad Curricular<\/strong><\/td>\nSCT-UPLA<\/strong><\/td>\n<\/tr>\n
Formaci\u00f3n Complementaria<\/td>\n2<\/td>\n<\/tr>\n
Modelamiento con Matem\u00e1tica Discreta<\/td>\n6<\/td>\n<\/tr>\n
Modelos de Evoluci\u00f3n y M\u00e9todos Num\u00e9ricos<\/td>\n6<\/td>\n<\/tr>\n
Pr\u00e1ctica Avanzada<\/td>\n6<\/td>\n<\/tr>\n
Epistemolog\u00eda para la Ense\u00f1anza de la Matem\u00e1tica<\/td>\n4<\/td>\n<\/tr>\n
Proyecto Educativo Matem\u00e1tico con Tecnolog\u00edas<\/td>\n6<\/td>\n<\/tr>\n
Total<\/span><\/strong><\/td>\n30<\/span><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

[\/et_pb_accordion_item][et_pb_accordion_item title=\u00bbD\u00e9cimo semestre\u00bb open_toggle_text_color=\u00bb#009BDB\u00bb closed_toggle_text_color=\u00bb#009BDB\u00bb icon_color=\u00bb#009BDB\u00bb toggle_icon=\u00bb||fa||900″ _builder_version=\u00bb4.27.4″ _module_preset=\u00bbdefault\u00bb custom_margin=\u00bb|5%||5%|false|true\u00bb border_radii=\u00bbon|15px|15px|15px|15px\u00bb border_color_all=\u00bb#009BDB\u00bb border_style_all=\u00bboutset\u00bb global_colors_info=\u00bb{}\u00bb toggle_text_color=\u00bb#009BDB\u00bb toggle_level=\u00bbh3″ toggle_font=\u00bb–et_global_body_font|700|||||||\u00bb closed_toggle_font=\u00bb|700|||||||\u00bb open=\u00bboff\u00bb]<\/p>\n\n\n\n\n\n\n\n\n
Actividad Curricular<\/strong><\/td>\nSCT-UPLA<\/strong><\/td>\n<\/tr>\n
Formaci\u00f3n Complementaria<\/td>\n2<\/td>\n<\/tr>\n
Taller de Fortalecimiento de Competencias Disciplinares<\/td>\n4<\/td>\n<\/tr>\n
Pr\u00e1ctica Profesional<\/td>\n12<\/td>\n<\/tr>\n
Trabajo de Titulaci\u00f3n<\/td>\n12<\/td>\n<\/tr>\n
Total<\/span><\/strong><\/td>\n30<\/span><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

[\/et_pb_accordion_item][\/et_pb_accordion][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=\u00bb1″ admin_label=\u00bbSecci\u00f3n footer\u00bb _builder_version=\u00bb4.22.2″ _module_preset=\u00bbdefault\u00bb background_color=\u00bb#e5e5e5″ 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″ 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″ _builder_version=\u00bb4.24.3″ _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″ _builder_version=\u00bb4.20.4″ _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″ _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″ _module_preset=\u00bbdefault\u00bb text_text_color=\u00bb#565656″ 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

Pedagog\u00eda en Matem\u00e1tica, Facultad de Ciencias Naturales y Exactas<\/strong><\/p>\n

Subida Leopoldo Carvallo 270, cerro Playa Ancha, Valpara\u00edso.<\/a><\/span><\/p>\n

[\/et_pb_text][\/et_pb_column][et_pb_column type=\u00bb1_4″ _builder_version=\u00bb4.20.4″ _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_image src=\u00bbhttps:\/\/upla.cl\/pedagogiaenmatematica\/wp-content\/uploads\/2025\/04\/Carrera-pregrado-PedMatematica-01.png\u00bb alt=\u00bbPedagog\u00eda en Matem\u00e1tica – Universidad de Playa Ancha\u00bb title_text=\u00bbCarrera-pregrado-PedMatematica-01″ url=\u00bbhttps:\/\/www.upla.cl\/calidad\/acreditacion\/carreras-pregrado-acreditadas-2\/\u00bb url_new_window=\u00bbon\u00bb align_tablet=\u00bb\u00bb align_phone=\u00bbcenter\u00bb align_last_edited=\u00bbon|phone\u00bb _builder_version=\u00bb4.27.4″ _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″ _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][\/et_pb_divider][et_pb_image src=\u00bbhttps:\/\/upla.cl\/pedagogiaenmatematica\/wp-content\/uploads\/2025\/03\/20250311_upla_acreditada_2022-2027-color.png\u00bb alt=\u00bbUPLA_acreditada_2022-2027″ title_text=\u00bb20250311_upla_acreditada_2022-2027-color\u00bb align_tablet=\u00bb\u00bb align_phone=\u00bbcenter\u00bb align_last_edited=\u00bbon|phone\u00bb _builder_version=\u00bb4.27.4″ _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_column][et_pb_column type=\u00bb1_4″ _builder_version=\u00bb4.22.2″ _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_blurb title=\u00bbEnlaces relacionados\u00bb _builder_version=\u00bb4.25.1″ _module_preset=\u00bbdefault\u00bb header_font=\u00bbLato|700|||||||\u00bb header_text_color=\u00bb#565656″ header_font_size=\u00bb16px\u00bb body_font=\u00bbLato||||||||\u00bb body_font_size=\u00bb15px\u00bb body_link_text_color=\u00bb#565656″ 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]> Facultad de Ciencias Naturales y Exactas<\/a>
\n> Jornada de Ense\u00f1anza de las Ciencias<\/a>
\n> Doctorado Interdisciplinario en <\/a>Ense\u00f1anza de las Ciencias<\/a>
\n> 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″ _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][\/et_pb_divider][\/et_pb_column][et_pb_column type=\u00bb1_4″ _builder_version=\u00bb4.20.4″ _module_preset=\u00bbdefault\u00bb global_colors_info=\u00bb{}\u00bb][et_pb_text _builder_version=\u00bb4.22.2″ _module_preset=\u00bbdefault\u00bb text_font=\u00bb|700|||||||\u00bb text_text_color=\u00bb#565656″ 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

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