{"id":6676126,"date":"2026-06-28T08:45:20","date_gmt":"2026-06-28T13:45:20","guid":{"rendered":"https:\/\/www.learningandthebrain.com\/blog\/?p=6676126"},"modified":"2026-06-02T12:22:23","modified_gmt":"2026-06-02T17:22:23","slug":"when-five-doesnt-equal-five-counting-slots-in-working-memory","status":"publish","type":"post","link":"https:\/\/www.learningandthebrain.com\/blog\/when-five-doesnt-equal-five-counting-slots-in-working-memory\/","title":{"rendered":"When Five Doesn&#8217;t Equal Five: Counting &#8220;Slots&#8221; in Working Memory"},"content":{"rendered":"\n<p>If you\u2019ve been to a Learning and the Brain conference in the last 26 years, you\u2019ve heard at least one speaker talk about the importance of <strong>working memory<\/strong>. Your working memory \u2013 typically abbreviated WM \u2013 allows your mind to hold a few bits of information and then reorganize and combine them into something new.<\/p>\n\n\n\n<p>For example, imagine I say to you \u201cwithout writing anything down, alphabetize the workdays of the week.\u201d<\/p>\n\n\n\n<p>You start by recalling those days in the order they occur: \u201cMonday, Tuesday, Wednesday, Thursday, Friday.\u201d Now that you\u2019re <em>holding<\/em> those bits of information, you can <em>reorganize<\/em> them in your mind: \u201cFriday, Monday, Thursday, Tuesday, Wednesday.\u201d Voila: that was working memory.<\/p>\n\n\n\n<p>You can quickly see that <em>WM is at the core of all academic learning<\/em>. To learn (almost) anything new, students must use their working memory.<\/p>\n\n\n\n<p>For that reason, discussions of WM typically stress this alarming point: <em>we just don\u2019t have very much working memory<\/em>. For instance: recall that alphabetizing task I gave you a few paragraphs ago. When I ask teachers to do that in a workshop, most of them succeed. But a few minutes later, when I ask them to alphabetize 10 months of the year, they laugh nervously and give up almost immediately.<\/p>\n\n\n\n<p>In brief: alphabetize 5, no problem. Alphabetize 10, no can do. This realization guides almost everything we do as teachers.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">The Size of The Problem<\/h2>\n\n\n\n<p>The importance of these insights leads to an obvious question. We know that working memory is small\u2026but <em>just<\/em> <em>how small<\/em>? Exactly how narrow is this cognitive bottleneck that constricts students\u2019 thinking?<\/p>\n\n\n\n<p>The best-known answer comes from a <a href=\"https:\/\/pubmed.ncbi.nlm.nih.gov\/13310704\/\">well-known article<\/a> by George Miller, written way back in 1956. His clever title tells us what we need to know: \u201cThe Magical Number Seven Plus or Minus Two.\u201d Miller\u2019s formula says, basically, that adults have, roughly, 7 \u201cslots\u201d in WM. Some folks have lower WM capacity \u2013 perhaps as low as 5. Others reach higher \u2013 up to 9. Voila: 7\u00b12.<\/p>\n\n\n\n<p>From one perspective, this formula makes sense. It puts plausible numbers on two experiences:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>We don\u2019t have a lot of WM, and<\/li>\n\n\n\n<li>Some people have more than others<\/li>\n<\/ul>\n\n\n\n<p>In fact, Miller\u2019s formula helps explain that WM exercise described at the top of this blog post. Teachers successfully alphabetize the workdays of the week because there are five of them \u2013 comfortably at the low end of Miller\u2019s range. But when I ask teachers to alphabetize 10 months, they routinely fail \u2013 because the task goes beyond the maximum of 9.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1024\" height=\"678\" src=\"https:\/\/www.learningandthebrain.com\/blog\/wp-content\/uploads\/2026\/06\/AdobeStock_596884725-1024x678.jpeg\" alt=\"\" class=\"wp-image-6676167\" srcset=\"https:\/\/www.learningandthebrain.com\/blog\/wp-content\/uploads\/2026\/06\/AdobeStock_596884725-1024x678.jpeg 1024w, https:\/\/www.learningandthebrain.com\/blog\/wp-content\/uploads\/2026\/06\/AdobeStock_596884725-300x199.jpeg 300w, https:\/\/www.learningandthebrain.com\/blog\/wp-content\/uploads\/2026\/06\/AdobeStock_596884725-768x509.jpeg 768w, https:\/\/www.learningandthebrain.com\/blog\/wp-content\/uploads\/2026\/06\/AdobeStock_596884725-1536x1017.jpeg 1536w, https:\/\/www.learningandthebrain.com\/blog\/wp-content\/uploads\/2026\/06\/AdobeStock_596884725-2048x1356.jpeg 2048w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>You might even have heard of another bit of support for this formula: \u201cphone numbers were initially limited to seven digits to keep them within average WM capacity.\u201d This claim turns out not to be true. After all, the US phone number system was developed in the 1940s, over a decade before Miller published his paper. But the popularity of this myth suggests that Miller\u2019s argument just makes sense to many people.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Honey, I Shrunk the Memory<\/strong><\/h2>\n\n\n\n<p>Despite all these reasons to adopt the 7\u00b12 mantra, we have at least two good reasons to resist it.<\/p>\n\n\n\n<p>First, <a href=\"https:\/\/pubmed.ncbi.nlm.nih.gov\/11515286\/\">more recent research<\/a>, published by Nelson Cowan in 2001, suggests that working memory may have as few as <em>four<\/em> slots. If we accept Cowan\u2019s revised formula, we understand even more viscerally why our students struggle with working-memory tasks in school \u2013 where almost everything is a working-memory task.<\/p>\n\n\n\n<p>More radically, I want to propose a second reason to resist Miller\u2019s account of seven slots. In fact, I want to move away from the idea of \u201cslots\u201d altogether \u2013 whether we\u2019re talking seven or four. In my view, the \u201cslots\u201d explanation of working memory encourages teachers to think about the wrong thing; truthfully, it asks us to do something quite impossible. Let me explain.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>When 5 \u2260 5<\/strong><\/h2>\n\n\n\n<p>I suggested above that \u201calphabetizing five workdays\u201d falls at the low end of Miller\u2019s 7\u00b12 formula. This way of thinking encourages teachers to focus on <em>counting<\/em>. In other words, we should be asking ourselves: how many specific chunks are students manipulating at this moment? If the answer is \u201cless than seven,\u201d then everything should be fine.<\/p>\n\n\n\n<p>But let\u2019s go back and look at that task. Notice that \u2013 to succeed at that task \u2013 you need to hold MANY more items in WM.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>You need to hold on to the <em>instructions I gave you<\/em>. If you didn\u2019t keep track of the task demands, you couldn\u2019t complete it.<\/li>\n\n\n\n<li>You also need to keep track of the <em>order of the alphabet<\/em>. To decide where \u201cThursday\u201d fits in your revised list, you\u2019re constantly checking in with that rhyme you learned even before kindergarten.<\/li>\n\n\n\n<li>By the way: how many \u201cslots\u201d does the order of the alphabet fill? One? Twenty-six? some other number?<\/li>\n<\/ul>\n\n\n\n<p>This wider view of working-memory demands leads me to two conclusions:<\/p>\n\n\n\n<p>A: Accomplishing this mental alphabetization task requires holding and processing MANY more than 5 bits of information.<\/p>\n\n\n\n<p>B: More broadly, trying to \u201ccount slots\u201d is an entirely futile endeavor. I\u2019ve been using this alphabetizing test for years, and I have no useful notion of how to quantify its WM lift. I can say this: \u201cmost teachers succeed at the first; almost no one succeeds at the second.\u201d But trying to assign a numeric value to these tasks leads to frustration and confusion \u2013 not to better teaching.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Teaching Implications<\/strong><\/h2>\n\n\n\n<p>In my view, focusing on \u201cslots\u201d distracts us from a more useful and important task: <em>recognizing and solving students\u2019 working memory overload<\/em>. That is, we should be good at<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><em>Anticipating<\/em> the classroom experiences that might result in overload,<\/li>\n\n\n\n<li><em>Recognizing<\/em> overload when it happens, and<\/li>\n\n\n\n<li><em>Solving \u2013 or at least mitigating <\/em>\u2013 those problems.<\/li>\n<\/ul>\n\n\n\n<p>Yes, having a number like 4 or 7 in mind might be helpful background knowledge. But the real work comes not <em>in counting<\/em>, but <em>in rethinking<\/em> the work we do in the classroom. (Here\u2019s a <a href=\"https:\/\/www.learningandthebrain.com\/blog\/obsessed-with-working-memory-reposted\/\" data-type=\"post\" data-id=\"5766\">series<\/a> of blog posts on how to do so.) Teachers will experience our teaching work differently when we start seeing learning from our students\u2019 working-memory perspective.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p>Miller, G. A. (1956). The magical number seven, plus or minus two: Some limits on our capacity for processing information.&nbsp;<em>Psychological review<\/em>,&nbsp;<em>63<\/em>(2), 81.<\/p>\n\n\n\n<p>Cowan, N. (2001). The magical number 4 in short-term memory: A reconsideration of mental storage capacity.&nbsp;<em>Behavioral and brain sciences<\/em>,&nbsp;<em>24<\/em>(1), 87-114.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>If you\u2019ve been to a Learning and the Brain conference in the last 26 years, you\u2019ve heard at least one speaker talk about the importance of working memory. Your working memory \u2013 typically abbreviated WM \u2013 allows your mind to hold a few bits of information and then reorganize and combine them into something new. [&hellip;]<\/p>\n","protected":false},"author":25,"featured_media":6676167,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[30],"class_list":["post-6676126","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-lb-blog","tag-working-memory"],"_links":{"self":[{"href":"https:\/\/www.learningandthebrain.com\/blog\/wp-json\/wp\/v2\/posts\/6676126","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learningandthebrain.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learningandthebrain.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learningandthebrain.com\/blog\/wp-json\/wp\/v2\/users\/25"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learningandthebrain.com\/blog\/wp-json\/wp\/v2\/comments?post=6676126"}],"version-history":[{"count":4,"href":"https:\/\/www.learningandthebrain.com\/blog\/wp-json\/wp\/v2\/posts\/6676126\/revisions"}],"predecessor-version":[{"id":6676169,"href":"https:\/\/www.learningandthebrain.com\/blog\/wp-json\/wp\/v2\/posts\/6676126\/revisions\/6676169"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.learningandthebrain.com\/blog\/wp-json\/wp\/v2\/media\/6676167"}],"wp:attachment":[{"href":"https:\/\/www.learningandthebrain.com\/blog\/wp-json\/wp\/v2\/media?parent=6676126"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learningandthebrain.com\/blog\/wp-json\/wp\/v2\/categories?post=6676126"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learningandthebrain.com\/blog\/wp-json\/wp\/v2\/tags?post=6676126"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}