{"id":668,"date":"2017-12-12T22:34:14","date_gmt":"2017-12-13T03:34:14","guid":{"rendered":"https:\/\/mathisvisual.com\/?p=668"},"modified":"2018-05-21T06:51:50","modified_gmt":"2018-05-21T11:51:50","slug":"subitizing-dot-cards","status":"publish","type":"post","link":"https:\/\/mathisvisual.com\/subitizing-dot-cards\/","title":{"rendered":"Conceptual Subitizing With Dot Cards"},"content":{"rendered":"<p><iframe loading=\"lazy\" width=\"1104\" height=\"621\" src=\"https:\/\/www.youtube.com\/embed\/gMET7V6_6oA?wmode=transparent&amp;rel=0&amp;feature=oembed\" frameborder=\"0\" gesture=\"media\" allow=\"encrypted-media\" allowfullscreen><\/iframe><\/p>\n<p>This dot card image was shared by <a href=\"https:\/\/ed.stanford.edu\/faculty\/joboaler\">Jo Boaler<\/a> at a recent workshop.<\/p>\n<p>Because there are more than 5 dots, most people will <strong>conceptually subitize<\/strong> by making multiple &#8220;groups&#8221; of dots often forming some sort of visual pattern in the mind. Give this one a shot.<\/p>\n<p>Consider using these images to prompt number talks around <strong><a href=\"https:\/\/mathisvisual.com\/subitizing\/\">conceptual subitizing<\/a><\/strong> and <a href=\"https:\/\/mathisvisual.com\/unitizing\/\"><strong>unitizing<\/strong><\/a> as we push students thinking from additive to multiplicative over time. Also, consider checking out other subitizing videos <a href=\"https:\/\/mathisvisual.com\/how-many-fruit\/\">here<\/a>.<\/p>\n<h2>Visual Prompts<\/h2>\n<h4>Math Is Visual Prompt #1<\/h4>\n<p>Show the following image for a few seconds and then take it off the screen.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-670\" src=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Conceptual-Subitizing-Dot-Card-Spatial-Reasoning-Jo-Boaler-Visual-Prompt-01-1024x576.jpeg\" alt=\"Conceptual Subitizing - Dot Card - Spatial Reasoning - Jo Boaler Visual Prompt 01\" width=\"1024\" height=\"576\" srcset=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Conceptual-Subitizing-Dot-Card-Spatial-Reasoning-Jo-Boaler-Visual-Prompt-01-1024x576.jpeg 1024w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Conceptual-Subitizing-Dot-Card-Spatial-Reasoning-Jo-Boaler-Visual-Prompt-01-300x169.jpeg 300w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Conceptual-Subitizing-Dot-Card-Spatial-Reasoning-Jo-Boaler-Visual-Prompt-01-768x432.jpeg 768w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Conceptual-Subitizing-Dot-Card-Spatial-Reasoning-Jo-Boaler-Visual-Prompt-01-1104x621.jpeg 1104w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Conceptual-Subitizing-Dot-Card-Spatial-Reasoning-Jo-Boaler-Visual-Prompt-01-366x205.jpeg 366w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Conceptual-Subitizing-Dot-Card-Spatial-Reasoning-Jo-Boaler-Visual-Prompt-01-534x300.jpeg 534w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Conceptual-Subitizing-Dot-Card-Spatial-Reasoning-Jo-Boaler-Visual-Prompt-01-165x92.jpeg 165w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Conceptual-Subitizing-Dot-Card-Spatial-Reasoning-Jo-Boaler-Visual-Prompt-01-249x140.jpeg 249w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Conceptual-Subitizing-Dot-Card-Spatial-Reasoning-Jo-Boaler-Visual-Prompt-01-232x130.jpeg 232w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Conceptual-Subitizing-Dot-Card-Spatial-Reasoning-Jo-Boaler-Visual-Prompt-01-344x193.jpeg 344w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Conceptual-Subitizing-Dot-Card-Spatial-Reasoning-Jo-Boaler-Visual-Prompt-01-533x300.jpeg 533w, https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Conceptual-Subitizing-Dot-Card-Spatial-Reasoning-Jo-Boaler-Visual-Prompt-01.jpeg 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>Ask students to share how they\u00a0<strong>visualized\u00a0<\/strong>the dots after showing the\u00a0<strong>Math Is Visual<\/strong> prompt.<\/p>\n<p>You may consider having a discussion with students so they are aware of how they likely subitized the dots by visualizing different groups.<\/p>\n<p>You could also possibly ask them to create a number sentence that describes their visual (i.e.: 2 + 3 + 2)<\/p>\n<h2>Silent Solution<\/h2>\n<p>View the silent solution video at the top of the page or by <a href=\"https:\/\/youtu.be\/gMET7V6_6oA\">clicking here<\/a>.<\/p>\n<p>If you want to see the full post on the Principles of Counting and Quantity, see my <a href=\"https:\/\/tapintoteenminds.com\/counting-principles-counting-and-cardinality\">blog post here<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This dot card image was shared by Jo Boaler at a recent workshop. Because there are more than 5 dots, most people will conceptually subitize by making multiple &#8220;groups&#8221; of dots often forming some sort of visual pattern in the mind. Give this one a shot. Consider using these images to prompt number talks around [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":670,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"video","meta":{"footnotes":""},"categories":[23],"tags":[24,28,29,27],"series":[46,36],"class_list":["post-668","post","type-post","status-publish","format-video","has-post-thumbnail","hentry","category-number","tag-counting","tag-kindergarten","tag-primary","tag-subitizing","post_format-post-format-video","series-counting-and-quantity","series-subitizing"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Conceptual Subitizing With Dot Cards - Math Is Visual<\/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:\/\/mathisvisual.com\/subitizing-dot-cards\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Conceptual Subitizing With Dot Cards - Math Is Visual\" \/>\n<meta property=\"og:description\" content=\"This dot card image was shared by Jo Boaler at a recent workshop. Because there are more than 5 dots, most people will conceptually subitize by making multiple &#8220;groups&#8221; of dots often forming some sort of visual pattern in the mind. Give this one a shot. Consider using these images to prompt number talks around [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathisvisual.com\/subitizing-dot-cards\/\" \/>\n<meta property=\"og:site_name\" content=\"Math Is Visual\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/mathisvisual\" \/>\n<meta property=\"article:published_time\" content=\"2017-12-13T03:34:14+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2018-05-21T11:51:50+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Conceptual-Subitizing-Dot-Card-Spatial-Reasoning-Jo-Boaler-Visual-Prompt-01.jpeg\" \/>\n\t<meta property=\"og:image:width\" content=\"1920\" \/>\n\t<meta property=\"og:image:height\" content=\"1080\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"kylepearce3\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@mathisvisual\" \/>\n<meta name=\"twitter:site\" content=\"@mathisvisual\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"kylepearce3\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathisvisual.com\/subitizing-dot-cards\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathisvisual.com\/subitizing-dot-cards\/\"},\"author\":{\"name\":\"kylepearce3\",\"@id\":\"https:\/\/mathisvisual.com\/#\/schema\/person\/b47a49936e6a402ef530c1d283550a6e\"},\"headline\":\"Conceptual Subitizing With Dot Cards\",\"datePublished\":\"2017-12-13T03:34:14+00:00\",\"dateModified\":\"2018-05-21T11:51:50+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathisvisual.com\/subitizing-dot-cards\/\"},\"wordCount\":203,\"commentCount\":3,\"image\":{\"@id\":\"https:\/\/mathisvisual.com\/subitizing-dot-cards\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/mathisvisual.com\/wp-content\/uploads\/2017\/12\/Conceptual-Subitizing-Dot-Card-Spatial-Reasoning-Jo-Boaler-Visual-Prompt-01.jpeg\",\"keywords\":[\"Counting and Quantity Principles\",\"Kindergarten\",\"Primary\",\"subitizing\"],\"articleSection\":[\"Number Sense\"],\"inLanguage\":\"en-CA\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathisvisual.com\/subitizing-dot-cards\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathisvisual.com\/subitizing-dot-cards\/\",\"url\":\"https:\/\/mathisvisual.com\/subitizing-dot-cards\/\",\"name\":\"Conceptual Subitizing With Dot Cards - 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