{"id":3039,"date":"2013-08-22T12:58:17","date_gmt":"2013-08-22T19:58:17","guid":{"rendered":"http:\/\/politicalhat.com\/?p=3039"},"modified":"2013-08-22T20:05:55","modified_gmt":"2013-08-23T03:05:55","slug":"progressive-mathematics-3-x-4-11","status":"publish","type":"post","link":"https:\/\/impeachreno.org\/politicalhat\/2013\/08\/22\/progressive-mathematics-3-x-4-11\/","title":{"rendered":"Progressive Mathematics: 3 x 4 = 11"},"content":{"rendered":"<p style=\"text-align: justify;\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Common Core standards, created whole-cloth from the minds of the Obama administration, are seeking to burn down the straw-man of &#8220;rote memorization&#8221; and building &#8220;understanding&#8221; as a path towards building mathematical knowledge.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-3040 aligncenter\" title=\"Progressive_Mathematics\" src=\"https:\/\/impeachreno.org\/politicalhat\/wp-content\/uploads\/2013\/08\/Progressive_Mathematics.jpg\" alt=\"\" width=\"274\" height=\"320\" srcset=\"https:\/\/impeachreno.org\/politicalhat\/wp-content\/uploads\/2013\/08\/Progressive_Mathematics.jpg 274w, https:\/\/impeachreno.org\/politicalhat\/wp-content\/uploads\/2013\/08\/Progressive_Mathematics-256x300.jpg 256w\" sizes=\"auto, (max-width: 274px) 100vw, 274px\" \/><\/p>\n<p style=\"text-align: justify;\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;In the below video, a <a href=\"http:\/\/www.breitbart.com\/Big-Government\/2013\/07\/19\/Common-Core-Math-If-Kids-Say-3-X-4-is-11-If-They-Can-Explain-it-We-ll-Take-it\" target=\"_blank\">teacher<\/a> <a href=\"http:\/\/www.nationalreview.com\/corner\/355713\/common-core-3-x-4-11-stanley-kurtz\" target=\"_blank\">training session<\/a> <a href=\"http:\/\/www.nationalreview.com\/corner\/355720\/more-common-core-math-stanley-kurtz\" target=\"_blank\">explains<\/a> why even if a student &#8221; said 3 X 4 was 11, if they were able to explain their reasoning and explain how they came up with their answer, really in words and oral explanations and they showed it in a picture but they just got the final number wrong; we&#8217;re really more focusing on the how and the why.&#8221;\u00a0 It&#8217;s like insisting on a <a href=\"http:\/\/tachyos.org\/godel\/1+1=2.html\" target=\"_blank\">formal proof<\/a> that 1 + 1 = 2 before teaching basic arithmetic!<\/p>\n<p style=\"text-align: center;\"><!--more--><iframe loading=\"lazy\" width=\"560\" height=\"315\" src=\"\/\/www.youtube.com\/embed\/FCfg1gzQ-UI\" frameborder=\"0\" allowfullscreen><\/iframe><\/p>\n<p style=\"text-align: justify;\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Thus, another <a title=\"The Manichean Meta-Narrative\" href=\"https:\/\/impeachreno.org\/politicalhat\/2013\/08\/09\/the-manichean-meta-narrative\/\" target=\"_blank\">manichean<\/a> choice is presented: Either children are told to memorize factoids and trained to spit them out on command, or they are taught to &#8220;understand&#8221; and &#8220;reason&#8221; things out for themselves.\u00a0 In <a href=\"http:\/\/www.theatlantic.com\/national\/archive\/2012\/11\/a-new-kind-of-problem-the-common-core-math-standards\/265444\/\" target=\"_blank\">other words<\/a>:<\/p>\n<blockquote>\n<p style=\"text-align: justify;\">&#8220;It&#8217;s an odd pedagogical agenda, based on a belief that conceptual understanding must come before practical skills can be mastered. As this thinking goes, students must be able to explain the &#8220;why&#8221; of a procedure. Otherwise, solving a math problem becomes a &#8220;mere calculation&#8221; and the student is viewed as not having true understanding.&#8221;<\/p>\n<\/blockquote>\n<p style=\"text-align: justify;\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;This is a false choice. \u00a0 It <strong><em>is<\/em><\/strong> necessary to teach <em>why<\/em> things are done in a certain way and what <em>it is<\/em> that those mathematical manipulations.\u00a0 It is also necessary to show them and have them practice these mathematical techniques so that they can understand and get a feel for them.\u00a0 If you can&#8217;t actually do it, then you don&#8217;t really understand it.\u00a0 Plenty of valid mathematical techniques are <a href=\"http:\/\/hoosiersagainstcommoncore.com\/why-does-common-core-mandate-fuzzy-math\/\" target=\"_blank\">put off or delayed<\/a> while children are told to understand, without actually knowing what it is they are supposed to understand!<\/p>\n<p style=\"text-align: justify;\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Ironically, rather than replace &#8220;rote memorization&#8221; with &#8220;understanding,&#8221;\u00a0 Common Core is <em>teaching<\/em> <span style=\"text-decoration: underline;\">and<\/span> <em>testing<\/em> on the <a href=\"http:\/\/www.nationalreview.com\/article\/347973\/two-moms-vs-common-core\" target=\"_blank\">wrote memorization<\/a> of pre-thought out &#8220;reasoning.&#8221;<\/p>\n<blockquote>\n<p style=\"text-align: justify;\">&#8220;&#8216;Instead of many arithmetic problems, the homework would contain only three or four questions, and two of those would be &#8220;explain your answer,\u2026 [l]ike, \u2018One bridge is 412 feet long and the other bridge is 206 feet long. Which bridge is longer? How do you know?&#8221;&#8216;&#8221;<\/p>\n<p style=\"text-align: justify;\">&#8220;She found she could not help her daughter answer the latter question: The &#8216;right&#8217; answer involved heavy quotation from Common Core language. A program designed to encourage thought had ended up encouraging rote memorization not of math but of scripts about math.&#8221;<\/p>\n<\/blockquote>\n<p style=\"text-align: justify;\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;In order to pass these tests, no actual demonstration that the ideas are known and understood is necessary, only a regurgitation of quotes <em>about<\/em> understanding it.\u00a0 The only thing Common Core teaches is how to parrot the talking points provided by an authority figure.<\/p>\n<p style=\"text-align: justify;\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Of course, that&#8217;s not a flaw;\u00a0 It&#8217;s by <em>design<\/em>.<\/p>\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Common Core standards, created whole-cloth from the minds of the Obama administration, are seeking to burn down the straw-man of &#8220;rote memorization&#8221; and building &#8220;understanding&#8221; as a path towards building mathematical knowledge. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;In the below video, a teacher training session &hellip; <a href=\"https:\/\/impeachreno.org\/politicalhat\/2013\/08\/22\/progressive-mathematics-3-x-4-11\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":3040,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[23,17],"tags":[3],"class_list":["post-3039","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-education","category-progressives","tag-obama"],"_links":{"self":[{"href":"https:\/\/impeachreno.org\/politicalhat\/wp-json\/wp\/v2\/posts\/3039","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/impeachreno.org\/politicalhat\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/impeachreno.org\/politicalhat\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/impeachreno.org\/politicalhat\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/impeachreno.org\/politicalhat\/wp-json\/wp\/v2\/comments?post=3039"}],"version-history":[{"count":5,"href":"https:\/\/impeachreno.org\/politicalhat\/wp-json\/wp\/v2\/posts\/3039\/revisions"}],"predecessor-version":[{"id":3072,"href":"https:\/\/impeachreno.org\/politicalhat\/wp-json\/wp\/v2\/posts\/3039\/revisions\/3072"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/impeachreno.org\/politicalhat\/wp-json\/wp\/v2\/media\/3040"}],"wp:attachment":[{"href":"https:\/\/impeachreno.org\/politicalhat\/wp-json\/wp\/v2\/media?parent=3039"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/impeachreno.org\/politicalhat\/wp-json\/wp\/v2\/categories?post=3039"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/impeachreno.org\/politicalhat\/wp-json\/wp\/v2\/tags?post=3039"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}