{"id":2617,"date":"2022-03-27T23:18:31","date_gmt":"2022-03-28T02:18:31","guid":{"rendered":"https:\/\/site.ac-martinique.fr\/mathematiques\/?p=2617"},"modified":"2022-03-27T23:18:31","modified_gmt":"2022-03-28T02:18:31","slug":"un-guide-pour-les-professeurs-sur-la-resolution-de-problemes","status":"publish","type":"post","link":"https:\/\/site.ac-martinique.fr\/mathematiques\/?p=2617","title":{"rendered":"Un guide pour les professeurs sur la r\u00e9solution de probl\u00e8mes"},"content":{"rendered":"\n<div class=\"text-block\">\n<div class=\"rich-text ckeditor-text clearfix\">\n<p><strong>La r\u00e9solution de probl\u00e8mes est au c\u0153ur des apprentissages en math\u00e9matiques<\/strong>. Elle participe pleinement \u00e0 la construction des notions, \u00e0 leur consolidation et favorise la r\u00e9flexion sur l\u2019erreur. Elle permet aussi de s\u2019assurer que l\u2019\u00e9l\u00e8ve est en capacit\u00e9 de mobiliser une notion ou des strat\u00e9gies \u00e9tudi\u00e9es en classe dans des situations nouvelles. <strong>Le continuum avec le premier degr\u00e9 repose sur diff\u00e9rents axes<\/strong> : faire de la mod\u00e9lisation un outil didactique central, aborder la conceptualisation de la variable alg\u00e9brique \u00e0 travers la r\u00e9solution de probl\u00e8mes arithm\u00e9tiques, r\u00e9investir le calcul et les nombres (notamment les fractions) \u00e0 travers les probl\u00e8mes, d\u00e9velopper une approche g\u00e9om\u00e9trique de la multiplication.<\/p>\n<\/div>\n<\/div>\n<div class=\"block-media block-media-js\">\n<article class=\"document-media\">\n<div class=\"cover-img\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/eduscol.education.fr\/sites\/default\/files\/styles\/sc147x208\/public\/2021-12\/couverture_guide_resolutionh_problemes_college.png?itok=iXiFnsCh\" alt=\"\" width=\"147\" height=\"208\" \/><\/div>\n<div class=\"download-wrapper\">\n<div class=\"description ckeditor-text\">\n<p>Ce guide s\u2019adresse aux professeurs de l\u2019enseignement secondaire, mais aussi \u00e0 leurs formateurs ainsi qu\u2019aux pilotes de la liaison avec le premier degr\u00e9. <strong>Il apporte un \u00e9clairage historique et didactique et propose une s\u00e9lection de probl\u00e8mes <\/strong>dans les diff\u00e9rents champs math\u00e9matiques \u00e9tudi\u00e9s au coll\u00e8ge. Ces exercices, dans l\u2019esprit des \u00e9valuations internationales, reposent sur les six comp\u00e9tences d\u00e9velopp\u00e9es par les programmes de math\u00e9matiques (chercher, mod\u00e9liser, repr\u00e9senter, raisonner, calculer, communiquer) et se r\u00e9f\u00e8rent aux comp\u00e9tences-cl\u00e9s (concepts-cl\u00e9s) du programme Pisa.<\/p>\n<\/div>\n<div class=\"content__download_main\"><a href=\"https:\/\/eduscol.education.fr\/document\/13132\/download?attachment\" target=\"_blank\" rel=\"noopener\" data-ati=\"\" data-ati-name=\"men_guide_mathematiques_college_2021_0612_web.pdf|13132\" data-ati-chapter-1=\"document\" data-ati-type=\"download\">T\u00e9l\u00e9charger le document (.pdf, 3.37 Mo)<\/a><\/div>\n<\/div>\n<\/article>\n<div>\u00a0<\/div>\n<div class=\" multimedia-block multimedia-block--with-text\">\n<div class=\"multimedia-block__caption\">\u00a0<\/div>\n<\/div>\n<\/div>\n<div class=\"text-block\">\n<div class=\"rich-text ckeditor-text clearfix\">\n<ul>\n<li>\u00a0<\/li>\n<\/ul>\n<\/div>\n<\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/site.ac-martinique.fr\/mathematiques\/wp-content\/uploads\/sites\/18\/2022\/03\/men-guide-mathematiques_college_2021_web.pdf\" type=\"application\/pdf\" style=\"width:100%;height:850px\" aria-label=\"Contenu embarqu\u00e9 Contenu embarqu\u00e9 men-guide-mathematiques_college_2021_web..\"><\/object><a id=\"wp-block-file--media-8f83e0c4-4966-40cc-abb4-a4aa1c228a42\" href=\"https:\/\/site.ac-martinique.fr\/mathematiques\/wp-content\/uploads\/sites\/18\/2022\/03\/men-guide-mathematiques_college_2021_web.pdf\">men-guide-mathematiques_college_2021_web<\/a><a href=\"https:\/\/site.ac-martinique.fr\/mathematiques\/wp-content\/uploads\/sites\/18\/2022\/03\/men-guide-mathematiques_college_2021_web.pdf\" class=\"wp-block-file__button\" download aria-describedby=\"wp-block-file--media-8f83e0c4-4966-40cc-abb4-a4aa1c228a42\">T\u00e9l\u00e9charger<\/a><\/div>\n\n\n\n<h4>T\u00e9l\u00e9charger les annexes<\/h4>\n<ul>\n<li><a class=\"media-document\" href=\"https:\/\/eduscol.education.fr\/document\/13135\/download\" data-ati=\"\" data-ati-chapter-1=\"document\" data-ati-name=\"p39.xlsx|13135\" data-ati-type=\"download\">Tableur de donn\u00e9es du probl\u00e8me 5 \u00ab <em>Comparaison de s\u00e9ries statistiques<\/em> \u00bb<\/a> pr\u00e9sent\u00e9 page 39 du guide<\/li>\n<li><a class=\"media-document\" href=\"https:\/\/eduscol.education.fr\/document\/13138\/download\" data-ati=\"\" data-ati-chapter-1=\"document\" data-ati-name=\"p43.xlsx|13138\" data-ati-type=\"download\">Tableur de donn\u00e9es du probl\u00e8me 6 \u00ab <em>Moyennes glissantes<\/em> \u00bb<\/a> pr\u00e9sent\u00e9 page 43 du guide<\/li>\n<li><a class=\"media-document\" href=\"https:\/\/eduscol.education.fr\/document\/13141\/download\" data-ati=\"\" data-ati-chapter-1=\"document\" data-ati-name=\"p51.zip|13141\" data-ati-type=\"download\">Fichier Scratch de l&rsquo;exemple se basant sur <em>un lanc\u00e9 de d\u00e9<\/em><\/a> pr\u00e9sent\u00e9 page 51 du guide<\/li>\n<li><a class=\"media-document\" href=\"https:\/\/eduscol.education.fr\/document\/13144\/download\" data-ati=\"\" data-ati-chapter-1=\"document\" data-ati-name=\"p123.zip|13144\" data-ati-type=\"download\">Fichier Scratch du probl\u00e8me 4 \u00ab <em>Des carr\u00e9s et une spirale<\/em> \u00bb<\/a> pr\u00e9sent\u00e9 page 123 du guide<\/li>\n<\/ul>\n<p>\u00a0<\/p>\n<p>Cette ressource peut-\u00eatre compl\u00e9t\u00e9e par le :\u00a0<\/p>\n<div class=\"block-media block-media-js\">\n<h3>Guide \u00ab R\u00e9solution de probl\u00e8mes \u00bb &#8211; Cours moyen<\/h3>\n<article class=\"document-media\">\n<div class=\"cover-img\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/eduscol.education.fr\/sites\/default\/files\/styles\/sc147x208\/public\/2022-01\/couverture_resolution_problemes_mathematiques_cm.png?itok=hiS1fuLd\" alt=\"\" width=\"147\" height=\"208\" \/><\/div>\n<div class=\"download-wrapper\">\n<div class=\"description ckeditor-text\">\n<p>Ce guide rappelle des \u00e9l\u00e9ments issus de la recherche permettant de nourrir la r\u00e9flexion pour construire un enseignement de la r\u00e9solution de probl\u00e8mes plus efficace. Il donne de nombreux exemples de probl\u00e8mes (plus de 200) que les \u00e9l\u00e8ves de cours moyen doivent apprendre \u00e0 r\u00e9soudre, ainsi que des strat\u00e9gies et proc\u00e9dures qu\u2019ils doivent acqu\u00e9rir pour y parvenir. Il\u00a0 propose aussi des exemples concrets de mise en \u0153uvre de s\u00e9quences et de s\u00e9ances d\u2019enseignement permettant de renforcer les comp\u00e9tences des \u00e9l\u00e8ves.<\/p>\n<\/div>\n<div class=\"content__download_main\"><a href=\"https:\/\/eduscol.education.fr\/document\/32206\/download?attachment\" target=\"_blank\" rel=\"noopener\" data-ati=\"\" data-ati-name=\"men_guide_mathematiques_cm_2021_web.pdf|32206\" data-ati-chapter-1=\"document\" data-ati-type=\"download\">T\u00e9l\u00e9charger le document (.pdf, 1.74 Mo)<\/a><\/div>\n<\/div>\n<div>\u00a0<\/div>\n<\/article>\n<div class=\" multimedia-block multimedia-block--with-text\">\n<div class=\"multimedia-block__caption\">\u00a0<\/div>\n<\/div>\n<\/div>\n<div class=\"block-media block-media-js\">\u00a0<\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/site.ac-martinique.fr\/mathematiques\/wp-content\/uploads\/sites\/18\/2022\/03\/men_guide_mathematiques_cm_2021_corr2_web.pdf\" type=\"application\/pdf\" style=\"width:100%;height:790px\" aria-label=\"Contenu embarqu\u00e9 Contenu embarqu\u00e9 men_guide_mathematiques_cm_2021_corr2_web..\"><\/object><a id=\"wp-block-file--media-cb4ee6cf-690a-49d5-b1ea-ff887d6ef2c8\" href=\"https:\/\/site.ac-martinique.fr\/mathematiques\/wp-content\/uploads\/sites\/18\/2022\/03\/men_guide_mathematiques_cm_2021_corr2_web.pdf\">men_guide_mathematiques_cm_2021_corr2_web<\/a><a href=\"https:\/\/site.ac-martinique.fr\/mathematiques\/wp-content\/uploads\/sites\/18\/2022\/03\/men_guide_mathematiques_cm_2021_corr2_web.pdf\" class=\"wp-block-file__button\" download aria-describedby=\"wp-block-file--media-cb4ee6cf-690a-49d5-b1ea-ff887d6ef2c8\">T\u00e9l\u00e9charger<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>La r\u00e9solution de probl\u00e8mes est au c\u0153ur des apprentissages en math\u00e9matiques. Elle participe pleinement \u00e0 la construction des notions, \u00e0 leur consolidation et favorise la r\u00e9flexion sur l\u2019erreur. Elle permet aussi de s\u2019assurer que l\u2019\u00e9l\u00e8ve est en capacit\u00e9 de mobiliser une notion ou des strat\u00e9gies \u00e9tudi\u00e9es en classe dans des situations nouvelles. Le continuum avec [&hellip;]<\/p>\n","protected":false},"author":74,"featured_media":2470,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[54],"tags":[],"class_list":["post-2617","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-planmaths"],"_links":{"self":[{"href":"https:\/\/site.ac-martinique.fr\/mathematiques\/index.php?rest_route=\/wp\/v2\/posts\/2617","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/site.ac-martinique.fr\/mathematiques\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/site.ac-martinique.fr\/mathematiques\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/site.ac-martinique.fr\/mathematiques\/index.php?rest_route=\/wp\/v2\/users\/74"}],"replies":[{"embeddable":true,"href":"https:\/\/site.ac-martinique.fr\/mathematiques\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2617"}],"version-history":[{"count":1,"href":"https:\/\/site.ac-martinique.fr\/mathematiques\/index.php?rest_route=\/wp\/v2\/posts\/2617\/revisions"}],"predecessor-version":[{"id":2620,"href":"https:\/\/site.ac-martinique.fr\/mathematiques\/index.php?rest_route=\/wp\/v2\/posts\/2617\/revisions\/2620"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/site.ac-martinique.fr\/mathematiques\/index.php?rest_route=\/wp\/v2\/media\/2470"}],"wp:attachment":[{"href":"https:\/\/site.ac-martinique.fr\/mathematiques\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2617"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/site.ac-martinique.fr\/mathematiques\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2617"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/site.ac-martinique.fr\/mathematiques\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2617"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}