{"id":27,"date":"2026-10-08T11:58:13","date_gmt":"2026-10-08T11:58:13","guid":{"rendered":"https:\/\/picalab.cl\/sitio\/musimatematicas\/"},"modified":"2026-11-13T18:50:40","modified_gmt":"2026-11-13T18:50:40","slug":"musimatematicas","status":"publish","type":"page","link":"https:\/\/picalab.cl\/sitio\/musimatematicas\/","title":{"rendered":"Musimatem\u00e1ticas"},"content":{"rendered":"\n<div class=\"wp-block-group alignfull pl-banda-titulo has-global-padding is-layout-constrained wp-container-core-group-is-layout-40a8439e wp-block-group-is-layout-constrained\">\n<p class=\"pl-chip wp-block-paragraph\">Propuesta educativa<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">Musimatem\u00e1ticas<\/h1>\n\n\n\n<p class=\"pl-intro wp-block-paragraph\">Sonificaci\u00f3n y propuestas musicales como un medio para explorar y representar ideas matem\u00e1ticas.<\/p>\n\n\n<\/div>\n\n\n\n<section class=\"wp-block-group alignfull pl-bloque is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group pl-contenedor has-global-padding is-layout-constrained wp-container-core-group-is-layout-40a8439e wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-columns are-vertically-aligned-center pl-dos is-layout-flex wp-container-core-columns-is-layout-89c98654 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h2 class=\"wp-block-heading\">El sonido como un medio para <em>explorar y representar<\/em> ideas matem\u00e1ticas<\/h2>\n\n\n\n<p class=\"pl-intro wp-block-paragraph\">En lugar de trabajar los conceptos solo con ejercicios y procedimientos, las y los estudiantes experimentan con sonidos y composici\u00f3n musical, toman decisiones y crean a partir de relaciones matem\u00e1ticas.<\/p>\n\n\n\n<p class=\"pl-ecuacion wp-block-paragraph\"><span class=\"pl-pill pl-pill--celeste\">Matem\u00e1ticas<\/span> + <span class=\"pl-pill pl-pill--violeta\">Sonido<\/span> + <span class=\"pl-pill pl-pill--ocre\">Creaci\u00f3n sonora<\/span> + <span class=\"pl-pill pl-pill--verde\">Tecnolog\u00eda<\/span><\/p>\n\n\n\n<p class=\"pl-dirigido wp-block-paragraph\">Dirigido a establecimientos p\u00fablicos y privados, inicialmente de la Regi\u00f3n de Los R\u00edos: estudiantes de 4.\u00ba, 5.\u00ba y 6.\u00ba b\u00e1sico y II medio, con sus docentes de Matem\u00e1tica y Educaci\u00f3n Musical.<\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/picalab.cl\/sitio\/modulos\/\">Ver los m\u00f3dulos \u2192<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-group pl-pilares is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group pl-pilar is-layout-flow wp-block-group-is-layout-flow\">\n<h3 class=\"wp-block-heading\">Participaci\u00f3n<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Las y los estudiantes exploran, discuten y construyen significados sonoro-matem\u00e1ticos en vez de repetir procedimientos.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-group pl-pilar is-layout-flow wp-block-group-is-layout-flow\">\n<h3 class=\"wp-block-heading\">Clima afectivo<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Aborda el temor al fracaso y la ansiedad matem\u00e1tica como parte del aprendizaje.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-group pl-pilar is-layout-flow wp-block-group-is-layout-flow\">\n<h3 class=\"wp-block-heading\">Trabajo colaborativo<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Composici\u00f3n musical y sonora en tr\u00edos, y distintas estrategias para resolver un mismo problema.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-group pl-pilar is-layout-flow wp-block-group-is-layout-flow\">\n<h3 class=\"wp-block-heading\">Acompa\u00f1amiento docente<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Taller de apropiaci\u00f3n, guiones pedag\u00f3gicos y apoyo durante la experimentaci\u00f3n.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n\n\n\n<section class=\"wp-block-group alignfull pl-bloque pl-tenue is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group pl-contenedor has-global-padding is-layout-constrained wp-container-core-group-is-layout-40a8439e wp-block-group-is-layout-constrained\">\n<h2 class=\"wp-block-heading\">De los prototipos de 2013 a los <em>m\u00f3dulos web<\/em><\/h2>\n\n\n\n<p class=\"pl-intro wp-block-paragraph\">Los m\u00f3dulos MMSI actuales recogen los adelantos de la IA para el desarrollo de software a partir de los prototipos de 2013. Se plantean nuevas ideas de exploraci\u00f3n y sonificaci\u00f3n de contenidos a trav\u00e9s de un laboratorio en l\u00ednea que se expande hacia nuevas disciplinas de forma interactiva.<\/p>\n\n\n\n<div class=\"wp-block-group pl-antecedentes is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group pl-antecedente is-layout-flow wp-block-group-is-layout-flow\">\n<h3 class=\"wp-block-heading\">Software en desarrollo<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Nuevas versiones web de AudioFracciones, AudioCombinatoria y AudioGeometr\u00eda, desarrolladas para la propuesta de mediaci\u00f3n sonoro-musical en el aula.<\/p>\n\n\n<\/div>\n\n\n\n<div class=\"wp-block-group pl-antecedente is-layout-flow wp-block-group-is-layout-flow\">\n<h3 class=\"wp-block-heading\">Prototipos de 2013<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">AudioFracciones, AudioEnteros, AudioGr\u00e1ficos y MultiPulso. Las evaluaciones de estos prototipos incluyeron a 221 estudiantes de educaci\u00f3n b\u00e1sica.<\/p>\n\n\n<\/div>\n\n\n\n<div class=\"wp-block-group pl-antecedente is-layout-flow wp-block-group-is-layout-flow\">\n<h3 class=\"wp-block-heading\">Ideas en exploraci\u00f3n<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Prototipos para nuevas etapas del laboratorio, como Multipulso-Orbital y Astrom\u00fasica, basado en la Armon\u00eda Mundi de Kepler, sonificaci\u00f3n del \u00e1tomo.<\/p>\n\n\n<\/div>\n\n\n<\/div>\n\n\n<\/div>\n<\/section>\n\n\n\n<section class=\"wp-block-group alignfull pl-bloque is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group pl-contenedor has-global-padding is-layout-constrained wp-container-core-group-is-layout-40a8439e wp-block-group-is-layout-constrained\">\n<h2 class=\"wp-block-heading\">Matem\u00e1ticas que se escuchan, <em>se exploran y se crean<\/em><\/h2>\n\n\n\n<p class=\"pl-intro wp-block-paragraph\">Una propuesta para aprender matem\u00e1ticas sonoras a trav\u00e9s de la creaci\u00f3n musical y la tecnolog\u00eda.<\/p>\n\n\n<\/div>\n<\/section>\n\n\n\n<section class=\"wp-block-group alignfull pl-bloque is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group pl-contenedor has-global-padding is-layout-constrained wp-container-core-group-is-layout-40a8439e wp-block-group-is-layout-constrained\">\n<h2 class=\"wp-block-heading\">C\u00f3mo llega <em>al aula<\/em><\/h2>\n\n\n\n<p class=\"pl-intro wp-block-paragraph\">Los m\u00f3dulos de Musimatem\u00e1ticas Sonoras Interactivas (MMSI) de PicaLab\u00a9 permiten vincular procesos matem\u00e1ticos con experiencias sonoras y musicales.<\/p>\n\n\n\n<div class=\"wp-block-group pl-pilares is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group pl-pilar is-layout-flow wp-block-group-is-layout-flow\">\n<h3 class=\"wp-block-heading\">\u00bfPara qui\u00e9n es?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Establecimientos p\u00fablicos y privados, inicialmente de la Regi\u00f3n de Los R\u00edos: estudiantes de 4\u00ba, 5\u00ba y 6\u00ba b\u00e1sico y II medio, sus docentes de Matem\u00e1tica y Educaci\u00f3n Musical, y los equipos directivos.<\/p>\n\n\n<\/div>\n\n\n\n<div class=\"wp-block-group pl-pilar is-layout-flow wp-block-group-is-layout-flow\">\n<h3 class=\"wp-block-heading\">\u00bfQu\u00e9 necesita el colegio?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Coordinaci\u00f3n con el establecimiento, participaci\u00f3n docente, un taller de apropiaci\u00f3n, acceso a los m\u00f3dulos MMSI y uso de la plataforma PicaLab.cl.<\/p>\n\n\n<\/div>\n\n\n\n<div class=\"wp-block-group pl-pilar is-layout-flow wp-block-group-is-layout-flow\">\n<h3 class=\"wp-block-heading\">Acompa\u00f1amiento<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">El equipo PicaLab acompa\u00f1a a las y los estudiantes y docentes durante toda la experimentaci\u00f3n en aula.<\/p>\n\n\n<\/div>\n\n\n\n<div class=\"wp-block-group pl-pilar is-layout-flow wp-block-group-is-layout-flow\">\n<h3 class=\"wp-block-heading\">Recursos docentes<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Gu\u00edas pedag\u00f3gicas por m\u00f3dulo, planificaciones para sala de clases y laboratorio de computaci\u00f3n, r\u00fabricas y protocolo de aplicaci\u00f3n. Abiertos con licencia CC BY al cierre del proyecto.<\/p>\n\n\n<\/div>\n\n\n<\/div>\n\n\n<\/div>\n<\/section>\n\n\n\n<section class=\"wp-block-group alignfull pl-bloque pl-oscuro is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group pl-contenedor has-global-padding is-layout-constrained wp-container-core-group-is-layout-40a8439e wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-columns are-vertically-aligned-center pl-dos is-layout-flex wp-container-core-columns-is-layout-89c98654 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h2 class=\"wp-block-heading\">Minilaboratorio demo <em>(AudioFracciones)<\/em><\/h2>\n\n\n\n<p class=\"pl-intro wp-block-paragraph\">Una cuerda m\u00e1s corta suena m\u00e1s aguda. Pit\u00e1goras descubri\u00f3 que los intervalos musicales nacen de razones num\u00e9ricas simples: AudioFracciones convierte esa relaci\u00f3n en un juego.<\/p>\n\n\n\n<figure class=\"wp-block-table pl-pitagoras\"><table><thead><tr><th>Fracci\u00f3n de cuerda<\/th><th>Frecuencia<\/th><th>Intervalo<\/th><\/tr><\/thead><tbody><tr><td>1\/1<\/td><td>1,00 \u00d7 f\u2080<\/td><td>Un\u00edsono<\/td><\/tr><tr><td>3\/4<\/td><td>1,33 \u00d7 f\u2080<\/td><td>Cuarta justa<\/td><\/tr><tr><td>2\/3<\/td><td>1,50 \u00d7 f\u2080<\/td><td>Quinta justa<\/td><\/tr><tr><td>1\/2<\/td><td>2,00 \u00d7 f\u2080<\/td><td>Octava<\/td><\/tr><\/tbody><\/table><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"pl-lab\" data-picalab-lab><div class=\"pl-lab-cab\"><strong>Secuenciador de 8 barras<\/strong><span>Inspirado en AudioFracciones<\/span><\/div><div class=\"pl-barras\"><\/div><div class=\"pl-lab-pie\"><button type=\"button\" class=\"pl-play\" aria-pressed=\"false\">\u25b6 Reproducir<\/button><span class=\"pl-formula\">f = f\u2080 \u00b7 d\/n \u00b7 f\u2080 = SOL 3 (196 Hz)<\/span><\/div><noscript><p>Activa JavaScript para escuchar las fracciones.<\/p><\/noscript><\/div><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n\n\n\n<section class=\"wp-block-group alignfull pl-banda is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group pl-contenedor has-global-padding is-layout-constrained wp-container-core-group-is-layout-40a8439e wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group pl-banda-caja is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-columns are-vertically-aligned-center pl-dos is-layout-flex wp-container-core-columns-is-layout-89c98654 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h2 class=\"wp-block-heading\"><a href=\"https:\/\/picalab.cl\/sitio\/proyecto-hacs\/\">Lleva las <em>Musimatem\u00e1ticas<\/em> a tu aula<\/a><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Gu\u00edas, planificaciones, r\u00fabricas y un taller de apropiaci\u00f3n docente para implementar los m\u00f3dulos MMSI. Acceso para los establecimientos participantes y apertura con licencia CC BY al cierre del proyecto.<\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button is-style-claro\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/picalab.cl\/sitio\/contacto\/\">Escribir a PicaLab \u2192<\/a><\/div>\n\n\n\n<div class=\"wp-block-button is-style-borde-claro\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/picalab.cl\/sitio\/materiales\/\">Materiales<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-group pl-banda-item is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/picalab.cl\/sitio\/materiales\/#guias\"><strong>Gu\u00edas pedag\u00f3gicas por m\u00f3dulo<\/strong><br>AudioFracciones, AudioCombinatoria y AudioGeometr\u00eda<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-group pl-banda-item is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/picalab.cl\/sitio\/materiales\/#planificaciones\"><strong>Planificaciones y r\u00fabricas<\/strong><br>Para sala de clases y laboratorio, con protocolo de aplicaci\u00f3n<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-group pl-banda-item is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/picalab.cl\/sitio\/materiales\/#taller\"><strong>Taller de apropiaci\u00f3n docente<\/strong><br>Con acompa\u00f1amiento durante la experimentaci\u00f3n<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Propuesta educativa Musimatem\u00e1ticas Sonificaci\u00f3n y propuestas musicales como un medio para explorar y representar ideas matem\u00e1ticas. El sonido como un medio para explorar y representar ideas matem\u00e1ticas En lugar de trabajar los conceptos solo con ejercicios y procedimientos, las y los estudiantes experimentan con sonidos y composici\u00f3n musical, toman decisiones y crean a partir de [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"pagina-editable","meta":{"footnotes":""},"class_list":["post-27","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/picalab.cl\/sitio\/wp-json\/wp\/v2\/pages\/27","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/picalab.cl\/sitio\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/picalab.cl\/sitio\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/picalab.cl\/sitio\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/picalab.cl\/sitio\/wp-json\/wp\/v2\/comments?post=27"}],"version-history":[{"count":6,"href":"https:\/\/picalab.cl\/sitio\/wp-json\/wp\/v2\/pages\/27\/revisions"}],"predecessor-version":[{"id":88,"href":"https:\/\/picalab.cl\/sitio\/wp-json\/wp\/v2\/pages\/27\/revisions\/88"}],"wp:attachment":[{"href":"https:\/\/picalab.cl\/sitio\/wp-json\/wp\/v2\/media?parent=27"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}