{"id":286,"date":"2020-10-10T14:39:59","date_gmt":"2020-10-10T12:39:59","guid":{"rendered":"http:\/\/eduhm.fr\/?page_id=286"},"modified":"2020-10-11T08:41:28","modified_gmt":"2020-10-11T06:41:28","slug":"3e-math-chinoises","status":"publish","type":"page","link":"http:\/\/eduhm.fr\/?page_id=286","title":{"rendered":"3e math. chinoises"},"content":{"rendered":"\n<p>Dans cette s\u00e9ance, l\u2019enseignant propose un probl\u00e8me tir\u00e9 des&nbsp;<em>Neuf Chapitres sur l\u2019art math\u00e9matique<\/em>. La s\u00e9ance comporte deux temps : un premier travail sur la mod\u00e9lisation g\u00e9om\u00e9trique de la situation puis la mise en \u00e9quation. Cette activit\u00e9 devait \u00eatre l\u2019occasion de pr\u00e9senter les math\u00e9matiques chinoises. Faute de temps, les apports historico-culturels ont \u00e9t\u00e9 report\u00e9s \u00e0 une s\u00e9ance ult\u00e9rieure que nous n\u2019avons pas pu filmer.<\/p>\n\n\n\n<p>La fiche \u00e9l\u00e8ve :&nbsp;<a href=\"http:\/\/eduhm.fr\/wp-content\/uploads\/2020\/10\/3_chinoises_fiche_eleve.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">3_chinoises_fiche_eleve<\/a><\/p>\n\n\n\n<p>Cette s\u00e9ance illustre la mani\u00e8re dont l\u2019histoire des math\u00e9matiques peut \u00eatre utilis\u00e9e comme une source de probl\u00e8mes pour la classe. Dans le cas pr\u00e9sent, les proc\u00e9dures mises en \u0153uvre renvoient exclusivement aux math\u00e9matiques scolaires actuelles sans r\u00e9f\u00e9rence aux pratiques chinoises, ce qui pourrait \u00eatre envisag\u00e9.<\/p>\n\n\n\n<p><em>Niveau : troisi\u00e8me \/ Ann\u00e9e 2011<\/em><\/p>\n\n\n\n<p><strong>Extrait 1 : Un probl\u00e8me tir\u00e9 des math\u00e9matiques chinoises<\/strong><\/p>\n\n\n\n<p>Le probl\u00e8me tir\u00e9 des math\u00e9matiques chinoises est utilis\u00e9 comme \u00ab&nbsp;support&nbsp;\u00bb pour \u00ab&nbsp;continuer le travail&nbsp;\u00bb sur le calcul litt\u00e9ral. L\u2019histoire constitue ici un outil au service de l\u2019activit\u00e9 math\u00e9matique.<\/p>\n\n\n\n<p>En fonction du temps disponible, l\u2019enseignant envisage de reporter \u00e0 plus tard la pr\u00e9sentation des math\u00e9matiques chinoises dans leurs dimensions historique et culturelle, ce qui sera effectivement le cas.<\/p>\n\n\n<div class=\"passster-form\" id=\"ps-713\">  \n  <form class=\"password-form\" method=\"post\" autocomplete=\"off\" action-xhr=\"http:\/\/eduhm.fr\/?page_id=286\" target=\"_top\">\n    <h4>Protected Area<\/h4>\n    <p>This content is password-protected. Please verify with a password to unlock the content.<\/p>\n    <fieldset>\n      <span class=\"ps-loader\"><img src=\"http:\/\/eduhm.fr\/wp-content\/plugins\/content-protector\/assets\/public\/ps-loader.svg\"\/><\/span>\n      <input placeholder=\"Enter your password..\" type=\"password\" tabindex=\"1\" name=\"passster_password\" id=\"passster_password\" class=\"passster-password\" autocomplete=\"off\" data-protection-type=\"password\" data-list=\"[PASSSTER_LIST]\" data-area=\"[PASSSTER_AREA]\" data-protection=\"[PASSSTER_PROTECTION]\">\n      \n      <button name=\"submit\" type=\"submit\" class=\"passster-submit\" data-psid=\"ps-713\"  data-submit=\"...Checking Password\">Saisissez le mot de passe pour acc\u00e9der \u00e0 la vid\u00e9o<\/button>\n       <div class=\"passster-error\"><\/div>\n    <\/fieldset>\n  <\/form>\n<\/div>\n\n\n<p><strong>Extrait 2 : Un probl\u00e8me \u2013 des m\u00e9thodes<\/strong><\/p>\n\n\n\n<p>Apr\u00e8s une phase de recherche individuelle, l\u2019enseignant fait le point sur les d\u00e9marches envisag\u00e9es pas les \u00e9l\u00e8ves. Il met en avant l\u2019int\u00e9r\u00eat de relever dans le texte les informations importantes puis insiste sur le r\u00f4le du sch\u00e9ma pour la mod\u00e9lisation de la situation.<\/p>\n\n\n<div class=\"passster-form\" id=\"ps-672\">  \n  <form class=\"password-form\" method=\"post\" autocomplete=\"off\" action-xhr=\"http:\/\/eduhm.fr\/?page_id=286\" target=\"_top\">\n    <h4>Protected Area<\/h4>\n    <p>This content is password-protected. Please verify with a password to unlock the content.<\/p>\n    <fieldset>\n      <span class=\"ps-loader\"><img src=\"http:\/\/eduhm.fr\/wp-content\/plugins\/content-protector\/assets\/public\/ps-loader.svg\"\/><\/span>\n      <input placeholder=\"Enter your password..\" type=\"password\" tabindex=\"1\" name=\"passster_password\" id=\"passster_password\" class=\"passster-password\" autocomplete=\"off\" data-protection-type=\"password\" data-list=\"[PASSSTER_LIST]\" data-area=\"[PASSSTER_AREA]\" data-protection=\"[PASSSTER_PROTECTION]\">\n      \n      <button name=\"submit\" type=\"submit\" class=\"passster-submit\" data-psid=\"ps-672\"  data-submit=\"...Checking Password\">Saisissez le mot de passe pour acc\u00e9der \u00e0 la vid\u00e9o<\/button>\n       <div class=\"passster-error\"><\/div>\n    <\/fieldset>\n  <\/form>\n<\/div>\n\n\n<p><strong>Extrait 3 : Un probl\u00e8me \u2013 des sch\u00e9mas<\/strong><\/p>\n\n\n\n<p>Plusieurs sch\u00e9mas sont dessin\u00e9s au tableau. Une discussion s\u2019engage. Il s\u2019agit d\u2019identifier les \u00e9l\u00e9ments d\u2019une mod\u00e9lisation pertinente pour la r\u00e9solution du probl\u00e8me.<\/p>\n\n\n<div class=\"passster-form\" id=\"ps-171\">  \n  <form class=\"password-form\" method=\"post\" autocomplete=\"off\" action-xhr=\"http:\/\/eduhm.fr\/?page_id=286\" target=\"_top\">\n    <h4>Protected Area<\/h4>\n    <p>This content is password-protected. Please verify with a password to unlock the content.<\/p>\n    <fieldset>\n      <span class=\"ps-loader\"><img src=\"http:\/\/eduhm.fr\/wp-content\/plugins\/content-protector\/assets\/public\/ps-loader.svg\"\/><\/span>\n      <input placeholder=\"Enter your password..\" type=\"password\" tabindex=\"1\" name=\"passster_password\" id=\"passster_password\" class=\"passster-password\" autocomplete=\"off\" data-protection-type=\"password\" data-list=\"[PASSSTER_LIST]\" data-area=\"[PASSSTER_AREA]\" data-protection=\"[PASSSTER_PROTECTION]\">\n      \n      <button name=\"submit\" type=\"submit\" class=\"passster-submit\" data-psid=\"ps-171\"  data-submit=\"...Checking Password\">Saisissez le mot de passe pour acc\u00e9der \u00e0 la vid\u00e9o<\/button>\n       <div class=\"passster-error\"><\/div>\n    <\/fieldset>\n  <\/form>\n<\/div>\n\n\n<p><strong>Extrait 4 : Une discussion pour \u00e9tablir le sch\u00e9ma<\/strong><\/p>\n\n\n\n<p>Un \u00e9l\u00e8ve est au tableau. En interaction avec l\u2019enseignant et la classe, il r\u00e9alise la mod\u00e9lisation g\u00e9om\u00e9trique attendue.<\/p>\n\n\n\n<p>Les outils \u00e9voqu\u00e9s pour la r\u00e9solution rel\u00e8vent des math\u00e9matiques scolaires actuelles.<\/p>\n\n\n<div class=\"passster-form\" id=\"ps-138\">  \n  <form class=\"password-form\" method=\"post\" autocomplete=\"off\" action-xhr=\"http:\/\/eduhm.fr\/?page_id=286\" target=\"_top\">\n    <h4>Protected Area<\/h4>\n    <p>This content is password-protected. Please verify with a password to unlock the content.<\/p>\n    <fieldset>\n      <span class=\"ps-loader\"><img src=\"http:\/\/eduhm.fr\/wp-content\/plugins\/content-protector\/assets\/public\/ps-loader.svg\"\/><\/span>\n      <input placeholder=\"Enter your password..\" type=\"password\" tabindex=\"1\" name=\"passster_password\" id=\"passster_password\" class=\"passster-password\" autocomplete=\"off\" data-protection-type=\"password\" data-list=\"[PASSSTER_LIST]\" data-area=\"[PASSSTER_AREA]\" data-protection=\"[PASSSTER_PROTECTION]\">\n      \n      <button name=\"submit\" type=\"submit\" class=\"passster-submit\" data-psid=\"ps-138\"  data-submit=\"...Checking Password\">Saisissez le mot de passe pour acc\u00e9der \u00e0 la vid\u00e9o<\/button>\n       <div class=\"passster-error\"><\/div>\n    <\/fieldset>\n  <\/form>\n<\/div>\n\n\n<p><strong>Extrait 5 : Deux premi\u00e8res pistes<\/strong><\/p>\n\n\n\n<p>Les pistes de r\u00e9solution utilisant les th\u00e9or\u00e8mes dits de Thal\u00e8s et de Pythagore sont expos\u00e9es au tableau.<\/p>\n\n\n<div class=\"passster-form\" id=\"ps-859\">  \n  <form class=\"password-form\" method=\"post\" autocomplete=\"off\" action-xhr=\"http:\/\/eduhm.fr\/?page_id=286\" target=\"_top\">\n    <h4>Protected Area<\/h4>\n    <p>This content is password-protected. Please verify with a password to unlock the content.<\/p>\n    <fieldset>\n      <span class=\"ps-loader\"><img src=\"http:\/\/eduhm.fr\/wp-content\/plugins\/content-protector\/assets\/public\/ps-loader.svg\"\/><\/span>\n      <input placeholder=\"Enter your password..\" type=\"password\" tabindex=\"1\" name=\"passster_password\" id=\"passster_password\" class=\"passster-password\" autocomplete=\"off\" data-protection-type=\"password\" data-list=\"[PASSSTER_LIST]\" data-area=\"[PASSSTER_AREA]\" data-protection=\"[PASSSTER_PROTECTION]\">\n      \n      <button name=\"submit\" type=\"submit\" class=\"passster-submit\" data-psid=\"ps-859\"  data-submit=\"...Checking Password\">Saisissez le mot de passe pour acc\u00e9der \u00e0 la vid\u00e9o<\/button>\n       <div class=\"passster-error\"><\/div>\n    <\/fieldset>\n  <\/form>\n<\/div>\n\n\n<p><strong>Extrait 6 : Une troisi\u00e8me m\u00e9thode<\/strong><\/p>\n\n\n\n<p>Un \u00e9l\u00e8ve propose d\u2019aborder le probl\u00e8me \u00e0 l\u2019aide de la trigonom\u00e9trie.<\/p>\n\n\n\n<p>L\u2019enseignant souligne la diversit\u00e9 des m\u00e9thodes mises au jour.<\/p>\n\n\n<div class=\"passster-form\" id=\"ps-791\">  \n  <form class=\"password-form\" method=\"post\" autocomplete=\"off\" action-xhr=\"http:\/\/eduhm.fr\/?page_id=286\" target=\"_top\">\n    <h4>Protected Area<\/h4>\n    <p>This content is password-protected. Please verify with a password to unlock the content.<\/p>\n    <fieldset>\n      <span class=\"ps-loader\"><img src=\"http:\/\/eduhm.fr\/wp-content\/plugins\/content-protector\/assets\/public\/ps-loader.svg\"\/><\/span>\n      <input placeholder=\"Enter your password..\" type=\"password\" tabindex=\"1\" name=\"passster_password\" id=\"passster_password\" class=\"passster-password\" autocomplete=\"off\" data-protection-type=\"password\" data-list=\"[PASSSTER_LIST]\" data-area=\"[PASSSTER_AREA]\" data-protection=\"[PASSSTER_PROTECTION]\">\n      \n      <button name=\"submit\" type=\"submit\" class=\"passster-submit\" data-psid=\"ps-791\"  data-submit=\"...Checking Password\">Saisissez le mot de passe pour acc\u00e9der \u00e0 la vid\u00e9o<\/button>\n       <div class=\"passster-error\"><\/div>\n    <\/fieldset>\n  <\/form>\n<\/div>\n\n\n<p><strong>Extrait 7 : R\u00e9solution du probl\u00e8me<\/strong><\/p>\n\n\n\n<p>L\u2019\u00e9quation est travaill\u00e9e. La classe aboutit finalement \u00e0 une \u00e9quation du second degr\u00e9 que l\u2019enseignant propose de r\u00e9soudre par essais-erreurs.<\/p>\n\n\n<div class=\"passster-form\" id=\"ps-251\">  \n  <form class=\"password-form\" method=\"post\" autocomplete=\"off\" action-xhr=\"http:\/\/eduhm.fr\/?page_id=286\" target=\"_top\">\n    <h4>Protected Area<\/h4>\n    <p>This content is password-protected. Please verify with a password to unlock the content.<\/p>\n    <fieldset>\n      <span class=\"ps-loader\"><img src=\"http:\/\/eduhm.fr\/wp-content\/plugins\/content-protector\/assets\/public\/ps-loader.svg\"\/><\/span>\n      <input placeholder=\"Enter your password..\" type=\"password\" tabindex=\"1\" name=\"passster_password\" id=\"passster_password\" class=\"passster-password\" autocomplete=\"off\" data-protection-type=\"password\" data-list=\"[PASSSTER_LIST]\" data-area=\"[PASSSTER_AREA]\" data-protection=\"[PASSSTER_PROTECTION]\">\n      \n      <button name=\"submit\" type=\"submit\" class=\"passster-submit\" data-psid=\"ps-251\"  data-submit=\"...Checking Password\">Saisissez le mot de passe pour acc\u00e9der \u00e0 la vid\u00e9o<\/button>\n       <div class=\"passster-error\"><\/div>\n    <\/fieldset>\n  <\/form>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Dans cette s\u00e9ance, l\u2019enseignant propose un probl\u00e8me tir\u00e9 des&nbsp;Neuf Chapitres sur l\u2019art math\u00e9matique. La s\u00e9ance comporte deux temps : un premier travail sur la mod\u00e9lisation g\u00e9om\u00e9trique de la situation puis la mise en \u00e9quation. Cette activit\u00e9 devait \u00eatre l\u2019occasion de pr\u00e9senter les math\u00e9matiques chinoises. Faute de temps, les apports historico-culturels ont \u00e9t\u00e9 report\u00e9s \u00e0 une &hellip; <\/p>\n<p class=\"link-more\"><a href=\"http:\/\/eduhm.fr\/?page_id=286\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;3e math. chinoises&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"http:\/\/eduhm.fr\/index.php?rest_route=\/wp\/v2\/pages\/286"}],"collection":[{"href":"http:\/\/eduhm.fr\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/eduhm.fr\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/eduhm.fr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/eduhm.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=286"}],"version-history":[{"count":3,"href":"http:\/\/eduhm.fr\/index.php?rest_route=\/wp\/v2\/pages\/286\/revisions"}],"predecessor-version":[{"id":387,"href":"http:\/\/eduhm.fr\/index.php?rest_route=\/wp\/v2\/pages\/286\/revisions\/387"}],"wp:attachment":[{"href":"http:\/\/eduhm.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=286"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}