{"id":533,"date":"2017-04-24T18:25:49","date_gmt":"2017-04-24T18:25:49","guid":{"rendered":"http:\/\/70.40.220.109\/~tercedu\/investigations\/inv2\/?page_id=533"},"modified":"2017-11-22T12:26:52","modified_gmt":"2017-11-22T17:26:52","slug":"discussing-mathematical-ideas","status":"publish","type":"page","link":"https:\/\/investigations.terc.edu\/inv2\/curriculum-in-the-classroom\/discussing-mathematical-ideas\/","title":{"rendered":"Discussing Mathematical Ideas"},"content":{"rendered":"<p>[et_pb_section bb_built=&#8221;1&#8243; admin_label=&#8221;section&#8221; _builder_version=&#8221;3.0.47&#8243;][et_pb_row admin_label=&#8221;row&#8221; _builder_version=&#8221;3.0.47&#8243; background_size=&#8221;initial&#8221; background_position=&#8221;top_left&#8221; background_repeat=&#8221;repeat&#8221;][et_pb_column type=&#8221;4_4&#8243;][et_pb_text admin_label=&#8221;Page Title&#8221; _builder_version=&#8221;3.0.47&#8243; background_size=&#8221;initial&#8221; background_position=&#8221;top_left&#8221; background_repeat=&#8221;repeat&#8221;]<\/p>\n<h1>Discussing Mathematical Ideas<\/h1>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=&#8221;3.0.47&#8243; background_size=&#8221;initial&#8221; background_position=&#8221;top_left&#8221; background_repeat=&#8221;repeat&#8221;][et_pb_column type=&#8221;2_3&#8243;][et_pb_text _builder_version=&#8221;3.0.85&#8243; background_size=&#8221;initial&#8221; background_position=&#8221;top_left&#8221; background_repeat=&#8221;repeat&#8221; background_layout=&#8221;light&#8221;]<\/p>\n<div id=\"content\">\n<p>Whole-class discussions provide students the opportunity to articulate, represent, connect, and consolidate mathematical ideas. In order for classroom discussions to be productive, it is important for teachers to:<\/p>\n<ul>\n<li>build a mathematical community in which students are prepared to listen actively and contribute ideas<\/li>\n<li>focus discussions on key mathematical ideas<\/li>\n<li>encourage the participation of all students<\/li>\n<li>set up the classroom in a way that supports discussion<\/li>\n<\/ul>\n<p><a href=\"http:\/\/investigations.terc.edu\/inv2\/wp-content\/uploads\/2017\/05\/DiscussingMathIdeas.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">. . . continue reading about planning for and facilitating productive whole-class mathematical discussions (pdf)<\/a>.<\/p>\n<p>In order to establish a community in which students share ideas and listen to each other, teachers and students need to work together at the beginning of the year to establish norms for math discussions.<\/p>\n<p>Read cases about how teachers design and facilitate beginning of the year math discussions at grade: <a href=\"http:\/\/investigations.terc.edu\/inv2\/wp-content\/uploads\/2017\/10\/K_DiscussionCase.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">K (pdf)<\/a>, <a href=\"http:\/\/investigations.terc.edu\/inv2\/wp-content\/uploads\/2017\/10\/Grade1_DiscussionCase.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">1 (pdf)<\/a>,\u00a0<a href=\"http:\/\/investigations.terc.edu\/inv2\/wp-content\/uploads\/2017\/10\/Grade2_DiscussionCase.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">2 (pdf)<\/a>, <a href=\"http:\/\/investigations.terc.edu\/inv2\/wp-content\/uploads\/2017\/10\/Grade3_DiscussionCase.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">3 (pdf)<\/a>, <a href=\"http:\/\/investigations.terc.edu\/inv2\/wp-content\/uploads\/2017\/10\/Grade4_DiscussionCase.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">4 (pdf)<\/a>. Involving <em>all<\/em> students in math discussions, including those with special needs, is critical. Strategies such as keeping discussions short and focused and getting students actively engaged help make discussions useful learning time for all students.<\/p>\n<\/div>\n<p>Involving all students in math discussions, including those with special needs, is critical. Strategies such as keeping discussions short and focused and getting students actively engaged help make discussions useful learning time for all students.<\/p>\n<p>Learn more about <a href=\"http:\/\/investigations.terc.edu\/inv2\/wp-content\/uploads\/2017\/11\/StudentsSpecialNeeds.pdf\" target=\"_blank\" rel=\"noopener\">strategies for supporting the participation of students with special needs (pdf)<\/a>.<\/p>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8221;1_3&#8243;][et_pb_cta admin_label=&#8221;Learn More&#8221; title=&#8221;Learn More&#8221; use_background_color=&#8221;off&#8221; background_layout=&#8221;light&#8221; _builder_version=&#8221;3.0.85&#8243; header_text_color=&#8221;#005285&#8243; background_size=&#8221;initial&#8221; background_position=&#8221;top_left&#8221; background_repeat=&#8221;repeat&#8221; use_border_color=&#8221;on&#8221; border_color=&#8221;#005285&#8243; text_orientation=&#8221;left&#8221; custom_padding=&#8221;20px|20px|20px|20px&#8221; url_new_window=&#8221;off&#8221; custom_button=&#8221;off&#8221; button_icon_placement=&#8221;right&#8221;]<\/p>\n<p>Learn more about <a href=\"https:\/\/investigations.terc.edu\/inv2\/curriculum-features\/math-discussions\/\">the role of discussions in <em>Investigations<\/em><\/a>.<\/p>\n<p>Read an essay about <a href=\"http:\/\/investigations.terc.edu\/inv2\/wp-content\/uploads\/2017\/11\/TheTeachersRole.pdf\" target=\"_blank\" rel=\"noopener\">the teacher&#8217;s role in <em>Investigations<\/em><\/a>.<\/p>\n<p><a href=\"http:\/\/mathsolutions.com\/featured\/classroom-discussions-using-math-talk-in-elementary-classrooms-pdf\/\" target=\"\u201d_blank\u201d\">Classroom Discussions: Using Math Talk to Help Students Learn, Grades K-6, Second Edition<\/a>, from <a href=\"http:\/\/mathsolutions.com\/\" target=\"\u201d_blank\u201d\">Math Solutions<\/a>.<\/p>\n<p><a href=\"http:\/\/metamorphosistlc.com\/images\/Resources\/Handouts\/Classroom%20Discourse\/Talk%20Moves.pdf\" target=\"\u201d_blank\u201d\">Talk Moves (pdf)<\/a> from<a href=\"http:\/\/metamorphosistlc.com\/free-resources\/handouts.html\" target=\"\u201d_blank\u201d\"> Metamorphosis TLC<\/a>.<\/p>\n<p><a href=\"http:\/\/www.flm-journal.org\/Articles\/6121B49CE01DE2D74FD46D4B58B6AA.pdf\" target=\"\u201d_blank\u201d\">Beyond Being Told Not To Tell (pdf)<\/a> by Daniel Chazan, Deborah Ball.<\/p>\n<p><a href=\"https:\/\/www.georgiastandards.org\/resources\/Online%20High%20School%20Math%20Training%20Materials\/Math-I-Session-5-Never-Say-Anything-a-Kid-Can-Say-Article.pdf\" target=\"\u201d_blank\u201d\">Never Say Anything a Kid Can Say! (pdf)<\/a> by Steven C. Reinhart.<\/p>\n<p>[\/et_pb_cta][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Discussing Mathematical Ideas Whole-class discussions provide students the opportunity to articulate, represent, connect, and consolidate mathematical ideas. In order for classroom discussions to be productive, it is important for teachers to: build a mathematical community in which students are prepared to listen actively and contribute ideas focus discussions on key mathematical ideas encourage the participation [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":490,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0},"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/PawyiF-8B","_links":{"self":[{"href":"https:\/\/investigations.terc.edu\/inv2\/wp-json\/wp\/v2\/pages\/533"}],"collection":[{"href":"https:\/\/investigations.terc.edu\/inv2\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/investigations.terc.edu\/inv2\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/investigations.terc.edu\/inv2\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/investigations.terc.edu\/inv2\/wp-json\/wp\/v2\/comments?post=533"}],"version-history":[{"count":14,"href":"https:\/\/investigations.terc.edu\/inv2\/wp-json\/wp\/v2\/pages\/533\/revisions"}],"predecessor-version":[{"id":2351,"href":"https:\/\/investigations.terc.edu\/inv2\/wp-json\/wp\/v2\/pages\/533\/revisions\/2351"}],"up":[{"embeddable":true,"href":"https:\/\/investigations.terc.edu\/inv2\/wp-json\/wp\/v2\/pages\/490"}],"wp:attachment":[{"href":"https:\/\/investigations.terc.edu\/inv2\/wp-json\/wp\/v2\/media?parent=533"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}