{"id":3587,"date":"2016-01-10T11:46:27","date_gmt":"2016-01-10T16:46:27","guid":{"rendered":"http:\/\/stager.tv\/?p=3587"},"modified":"2020-07-25T18:58:03","modified_gmt":"2020-07-25T23:58:03","slug":"virtual-learning-lunch-construction-of-arithmetic-knowledge","status":"publish","type":"post","link":"http:\/\/stager.tv\/?p=3587","title":{"rendered":"Virtual Learning Lunch &#8211; Construction of Mathematical Knowledge"},"content":{"rendered":"<p>Here are some objects to think with to get you started.<\/p>\n<p>Pack a lunch, fire up a colortini and watch the pictures as they fly through the air!<\/p>\n<p><strong>Seymour Papert&#8217;s Mathland<\/strong><\/p>\n<p><iframe loading=\"lazy\" src=\"https:\/\/player.vimeo.com\/video\/44907186\" width=\"640\" height=\"363\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p><strong>Read Gary Stager\u2019s <a href=\"http:\/\/t.co\/iXOWbhErkc\">Personal Road to Reinventing Mathematics Education.<\/a><\/strong><\/p>\n<p><strong>Conrad Wolfram&#8217;s TED Talk<\/strong><\/p>\n<p><iframe loading=\"lazy\" src=\"https:\/\/www.youtube.com\/embed\/60OVlfAUPJg\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><br \/>\n<a href=\"https:\/\/www.youtube.com\/watch?v=60OVlfAUPJg\" target=\"_blank\" rel=\"noopener noreferrer\">Teaching kids real math with computers<\/a><\/p>\n<p><strong>Kamii Videos<\/strong><\/p>\n<p><iframe loading=\"lazy\" src=\"https:\/\/player.vimeo.com\/video\/151124101\" width=\"500\" height=\"375\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p><a href=\"https:\/\/vimeo.com\/151124101\">Double-Column Addition<\/a><\/p>\n<p><iframe loading=\"lazy\" src=\"https:\/\/player.vimeo.com\/video\/151124100\" width=\"500\" height=\"375\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p><a href=\"https:\/\/vimeo.com\/151124100\">Multiplication of Two-digit Numbers<\/a><\/p>\n<p><iframe loading=\"lazy\" src=\"https:\/\/player.vimeo.com\/video\/151124093\" width=\"500\" height=\"375\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p><a href=\"https:\/\/vimeo.com\/151124093\">Multidigit Division<\/a><\/p>\n<p><iframe loading=\"lazy\" src=\"https:\/\/www.youtube.com\/embed\/Fm4es_VfjC0\" width=\"420\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p><a href=\"The%20difficulty of constructing &quot;tens&quot; solidly\">Making Change &#8211;\u00a0The difficulty of constructing &#8220;tens&#8221; solidly<\/a><\/p>\n<p><iframe loading=\"lazy\" src=\"https:\/\/www.youtube.com\/embed\/L06tFh4FSF4\" width=\"420\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=L06tFh4FSF4\">Constance Kamii Direct vs Indirect Ways of Teaching Number Concepts at Ages 4-6<br \/>\n<\/a>A comprehensive lecture explaining Piagetian ideas showing that although number concepts cannot be taught directly, they can be taught indirectly by encouraging children to think.<\/p>\n<p><strong>Kamii Games<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/sites.google.com\/site\/constancekamii\/articles-available-for-printing\/Card%20Games%20with%20Playing%20Cards%20-%20Constance%20Kamii.pdf?attredirects=0&amp;d=1\">Arithmetic\u00a0Games with Playing Cards<\/a><\/li>\n<li class=\"page\" title=\"Page 1\">\n<div class=\"layoutArea\">\n<div class=\"column\">\n<p><a href=\"https:\/\/sites.google.com\/site\/constancekamii\/articles-available-for-printing\/Board_Game_Sorry%21_%282003%29.pdf?attredirects=0&amp;d=1\" target=\"_blank\" rel=\"noopener noreferrer\">Modifying a Board Game (Sorry) to Foster Kindergartners\u2019 Logico-Mathematical Thinking<\/a><\/p>\n<\/div>\n<\/div>\n<\/li>\n<li><a href=\"https:\/\/sites.google.com\/site\/constancekamii\/articles-available-for-printing\/Lining_Up_the_5s_%282006%29.pdf?attredirects=0&amp;d=1\" target=\"_blank\" rel=\"noopener noreferrer\">Lining-Up the 5s &#8211; A Card Game<\/a><\/li>\n<li><a href=\"https:\/\/sites.google.com\/site\/constancekamii\/materials-for-the-classroom\">Kamii Game Cards to download and print<\/a><\/li>\n<li><a href=\"http:\/\/stager.tv\/wp-content\/uploads\/2016\/01\/Kamii-on-Games-over-Worksheets.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Kamii on Games over Worksheets<\/a>\u00a0(article)<\/li>\n<\/ul>\n<p><strong>Videos\u00a0Suggesting\u00a0a Potential MicroWorlds (coding) Activity for Constructing Understanding of Fractions<\/strong><\/p>\n<p><iframe loading=\"lazy\" src=\"https:\/\/player.vimeo.com\/video\/25217992\" width=\"500\" height=\"341\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p><a href=\"https:\/\/vimeo.com\/25217992\">&#8220;Debbie&#8221;<\/a>\u00a0from the research of Idit Harel<\/p>\n<p><iframe loading=\"lazy\" src=\"https:\/\/player.vimeo.com\/video\/25218085\" width=\"500\" height=\"341\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p><a href=\"https:\/\/vimeo.com\/25218085\">Minds-in-Play<\/a> from the research of Yasmin Kafai.<\/p>\n<p><strong>Math in the World (A beautiful view)<\/strong><br \/>\n<iframe loading=\"lazy\" src=\"https:\/\/www.youtube.com\/embed\/zGEDHMF4rLI\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><br \/>\nThe Beauty of Math in Coral and Crochet by Margaret Wertheim at TED.<\/p>\n<p><strong>Stephen Wolfran&#8217;s Introduction to Wolfram Language<\/strong><\/p>\n<p><iframe loading=\"lazy\" src=\"https:\/\/www.youtube.com\/embed\/_P9HqHVPeik\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><br \/>\n<a href=\"https:\/\/www.youtube.com\/watch?v=_P9HqHVPeik\" target=\"_blank\" rel=\"noopener noreferrer\">Stephen Wolfram&#8217;s Introduction to the Wolfram Language<\/a><\/p>\n<p><a href=\"https:\/\/inventtolearn.com\/wolfram\/\"><strong>The Invent to Learn Guide to Getting Started with Wolfram Language<\/strong><\/a><\/p>\n<p><strong>Important Articles by Stephen Wolfram<\/strong><\/p>\n<ul>\n<li><a href=\"http:\/\/blog.stephenwolfram.com\/2017\/11\/what-is-a-computational-essay\/\">What is a Computational Essay?<\/a><\/li>\n<li><a href=\"http:\/\/blog.stephenwolfram.com\/2016\/09\/how-to-teach-computational-thinking\/\">How to Teach Computational Thinking<\/a><\/li>\n<li><a href=\"http:\/\/blog.stephenwolfram.com\/2017\/08\/high-school-summer-camp-a-two-week-path-to-computational-thinking\/\">High-School Summer Camp: A Two-Week Path to Computational Thinking<\/a><\/li>\n<li><a href=\"http:\/\/blog.stephenwolfram.com\/2017\/05\/machine-learning-for-middle-schoolers\/\">Machine Learning for Middle Schoolers<\/a><\/li>\n<li><a href=\"http:\/\/blog.stephenwolfram.com\/2017\/03\/two-hours-of-experimental-mathematics\/\">Two Hours of Experimental Mathematics<\/a><\/li>\n<\/ul>\n<div id=\"content\" class=\"grid col-620\" role=\"main\">\n<div id=\"post-3714\" class=\"post-3714 post type-post status-publish format-standard hentry category-getting-started category-professional-learning category-projects category-recommendations category-resources category-video tag-computational-thinking tag-gary-stager tag-math-education tag-mathematics-education tag-stephen-wolfram tag-wolfram-language\">\n<div class=\"post-entry\">\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=sJronwbyFeM\">Askwith Forum: Stephen Wolfram and Howard Gardner \u2013 Best Education in Computational Thinking\u00a0<\/a><\/p>\n<div class=\"fluid-width-video-wrapper\"><iframe id=\"fitvid35876\" src=\"https:\/\/www.youtube.com\/embed\/sJronwbyFeM\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=ALuQzgDvr2g\">Making Programming Accessible to Everyone with Wolfram Language<\/a><\/p>\n<div class=\"fluid-width-video-wrapper\"><iframe id=\"fitvid70380\" src=\"https:\/\/www.youtube.com\/embed\/ALuQzgDvr2g\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p><a href=\"https:\/\/youtu.be\/P7kX7BuHSFI\">Stephen Wolfram Computational Universe in the MIT Artificial General Intelligence class lecture (March 2018)<\/a><\/p>\n<div class=\"fluid-width-video-wrapper\"><iframe id=\"fitvid911011\" src=\"https:\/\/www.youtube.com\/embed\/P7kX7BuHSFI\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<p><strong>All of these links are live at cmkfutures.com\/wolfram<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Here are some objects to think with to get you started. Pack a lunch, fire up a colortini and watch the pictures as they fly &hellip; <\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[479,430,428,429,431,438],"tags":[1276,1560,1562,664,432,842,672,1413,1052,558,1561],"class_list":["post-3587","post","type-post","status-publish","format-standard","hentry","category-11-computing","category-creativity","category-general","category-project-based-learning","category-teaching","category-technology","tag-coding","tag-conrad-wolfram","tag-constance-kamii","tag-constructionism","tag-gary-stager","tag-howard-gardner","tag-logo","tag-math","tag-mathematics-education","tag-seymour-papert","tag-stephen-wolfram"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Virtual Learning Lunch - Construction of Mathematical Knowledge - Stager-to-Go<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/stager.tv\/?p=3587\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Virtual Learning Lunch - Construction of Mathematical Knowledge - Stager-to-Go\" \/>\n<meta property=\"og:description\" content=\"Here are some objects to think with to get you started. 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