{"id":894,"date":"2015-12-14T21:59:41","date_gmt":"2015-12-14T21:59:41","guid":{"rendered":"https:\/\/braindevs.net\/blog\/blog\/?p=894"},"modified":"2015-12-14T21:59:41","modified_gmt":"2015-12-14T21:59:41","slug":"science-of-homework","status":"publish","type":"post","link":"https:\/\/www.braindevs.net\/blog\/science-of-homework\/","title":{"rendered":"The Science Of Homework: Why Timing is Everything"},"content":{"rendered":"<p><a href=\"https:\/\/braindevs.net\/blog\/\/wp-content\/uploads\/2015\/12\/Homework-Help.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-902\" src=\"https:\/\/braindevs.net\/blog\/\/wp-content\/uploads\/2015\/12\/Homework-Help-1024x682.png\" alt=\"Homework Help\" width=\"640\" height=\"426\" srcset=\"https:\/\/www.braindevs.net\/blog\/wp-content\/uploads\/2015\/12\/Homework-Help-1024x682.png 1024w, https:\/\/www.braindevs.net\/blog\/wp-content\/uploads\/2015\/12\/Homework-Help-300x200.png 300w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/p>\n<p>A <a href=\"https:\/\/braindevs.net\/blog\/\/dangersofremembering\/\">previous article<\/a> argued, paradoxically, that remembering can cause forgetting. Today\u2019s entry reverses the paradox: forgetting, you see, benefits remembering.<\/p>\n<p>You read that right: if you want to remember, it helps to forget.<\/p>\n<p>Let me explain.<\/p>\n<p>Today in class, I taught my students a new verb tense (or a new technique for proving that lines are parallel, or the Ideal Gas Law). I\u2019ve got twenty practice problems for them to do: what\u2019s the best schedule for those problems?<\/p>\n<p>When I learned French (and Geometry, and Chemistry) in high school, the answer was clear: do all the practicing right now. Whatever I studied in class today, I should practice tonight. In other words, I did those 20 practice problems then night after I learned the new material.<\/p>\n<p>There is, of course, another conceptual option: I could ask my students to spread that practice out over time. They could do five problems tonight, and five tomorrow night, and so on.<\/p>\n<p>Either plan seems plausible: which was is better? Happily, teachers don\u2019t have to guess\u2014we can look at research.<\/p>\n<p>Here\u2019s an example<sup><a href=\"http:\/\/www.pashler.com\/Articles\/Pashler.Rohrer.Cepeda.Carpenter_2007.pdf\" target=\"_blank\">2<\/a><\/sup>. Hal Pashler\u2019s research team had students come to his lab to learn an unusual math procedure, and practice it by doing 10 problems. A week later, half of those students returned to take a quiz on this procedure; the other half of the students took the same quiz\u2026a MONTH later.<\/p>\n<p>Then, Pasher had another group of students learn the same unusual math procedure\u2014which they practiced by doing 5 problems (not ten, five). They all returned a week later, and did five more practice problems. A week later, half of those students returned to take the quiz; the other half of the students, again, took that quiz a month later.<\/p>\n<p>So, both groups studied the same procedure, and did ten practice problems. The only difference: the schedule on which they did that practicing. Half of them did all the practice at once; the others spread their practice out.<\/p>\n<p>Which group did better?<\/p>\n<p><a href=\"https:\/\/braindevs.net\/blog\/\/wp-content\/uploads\/2015\/12\/AW-Graph2.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-898\" src=\"https:\/\/braindevs.net\/blog\/\/wp-content\/uploads\/2015\/12\/AW-Graph2.png\" alt=\"AW Graph2\" width=\"950\" height=\"668\" srcset=\"https:\/\/www.braindevs.net\/blog\/wp-content\/uploads\/2015\/12\/AW-Graph2.png 950w, https:\/\/www.braindevs.net\/blog\/wp-content\/uploads\/2015\/12\/AW-Graph2-300x211.png 300w\" sizes=\"auto, (max-width: 950px) 100vw, 950px\" \/><\/a><\/p>\n<p>To put that picture into fewer than a thousand words: by spreading their study out, the second group remembered twice as much as the first group did.<\/p>\n<p>Why did this technique work? Simply put, the second group had <em>time to forget<\/em>. The first group spent all their time learning. The second group learned, and then forgot, and then learned again. The forgetting benefitted ultimate remembering.<\/p>\n<p>Two serious problems, however, might interfere with our ability to put this research result to practice.<\/p>\n<p><strong>Problem number 1: the students.<\/strong><\/p>\n<p>Pasher\u2019s research result feels intuitive to most teachers\u2014we\u2019ve always known its\u2019s better to spread practice out over time\u2014but it feels profoundly counter-intuitive to students. They feel deeply in their gut that they should practice, practice, practice RIGHT NOW.<\/p>\n<p>To help students see the benefits of spacing their practice, I regularly show them Pasher\u2019s study. Students LOVE the idea that they can double the amount they remember (61%, instead of 31%) without doing any more practice problems.<\/p>\n<p><strong>Problem number 2: the syllabus.<\/strong><\/p>\n<p>Although \u201cThe Spacing Effect\u201d sounds like a good idea when I think about any one topic, it leads to a potential problem with my syllabus. In the old days, I\u2019d teach one topic on Monday, and then have my students practice that topic Monday night. On Tuesday we\u2019d do the next topic, and they\u2019d practice it on Tuesday night. In short, my syllabus looked like this:<\/p>\n<table style=\"height: 301px;\" width=\"688\">\n<tbody>\n<tr>\n<td width=\"78\"><strong>\u00a0<\/strong><\/td>\n<td width=\"78\">\n<h6><strong>Monday<\/strong><\/h6>\n<\/td>\n<td width=\"78\">\n<h6><strong>Tuesday<\/strong><\/h6>\n<\/td>\n<td width=\"78\">\n<h6><strong>Wednesday<\/strong><\/h6>\n<\/td>\n<td width=\"78\">\n<h6><strong>Thursday<\/strong><\/h6>\n<\/td>\n<td width=\"78\">\n<h6><strong>Friday<\/strong><\/h6>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"78\">\n<h6><strong>In Class<\/strong><\/h6>\n<\/td>\n<td width=\"78\">\n<h6>Topic A<\/h6>\n<\/td>\n<td width=\"78\">\n<h6>Topic B<\/h6>\n<\/td>\n<td width=\"78\">\n<h6>Topic C<\/h6>\n<\/td>\n<td width=\"78\">\n<h6>Topic D<\/h6>\n<\/td>\n<td width=\"78\">\n<h6>And So On<\/h6>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"78\">\n<h6><strong>Homework<\/strong><\/h6>\n<\/td>\n<td width=\"78\">\n<h6>20 A Problems<\/h6>\n<\/td>\n<td width=\"78\">\n<h6>20 B Problems<\/h6>\n<\/td>\n<td width=\"78\">\n<h6>20 C Problems<\/h6>\n<\/td>\n<td width=\"78\">\n<h6>20 D Problems<\/h6>\n<\/td>\n<td width=\"78\">\n<h6>And So Forth<\/h6>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>However, if spread my practice out\u2014perhaps by doing 5 problems per topic each night\u2014my new syllabus will look like this:<\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"78\"><\/td>\n<td width=\"78\">\n<h6><strong>Monday<\/strong><\/h6>\n<\/td>\n<td width=\"78\">\n<h6><strong>Tuesday<\/strong><\/h6>\n<\/td>\n<td width=\"78\">\n<h6><strong>Wednesday<\/strong><\/h6>\n<\/td>\n<td width=\"78\">\n<h6><strong>Thursday<\/strong><\/h6>\n<\/td>\n<td width=\"78\">\n<h6><strong>Friday<\/strong><\/h6>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"78\">\n<h6><strong>In Class<\/strong><\/h6>\n<\/td>\n<td width=\"78\">\n<h6>Topic A<\/h6>\n<\/td>\n<td width=\"78\">\n<h6>Topic B<\/h6>\n<\/td>\n<td width=\"78\">\n<h6>Topic C<\/h6>\n<\/td>\n<td width=\"78\">\n<h6>Topic D<\/h6>\n<\/td>\n<td width=\"78\">\n<h6>You<\/h6>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"78\">\n<h6><strong>Homework<\/strong><\/h6>\n<\/td>\n<td width=\"78\">\n<h6>5 A Problems<\/h6>\n<\/td>\n<td width=\"78\">\n<h6>5 A Problems<\/h6>\n<h6>5 B Problems<\/h6>\n<\/td>\n<td width=\"78\">\n<h6>5 A Problems<\/h6>\n<h6>5 B Problems<\/h6>\n<h6>5 C Problems<\/h6>\n<\/td>\n<td width=\"78\">\n<h6>5 A Problems<\/h6>\n<h6>5 B Problems<\/h6>\n<h6>5 C Problems<\/h6>\n<h6>5 D Problems<\/h6>\n<\/td>\n<td width=\"78\">\n<h6>Get<\/h6>\n<h6>The<\/h6>\n<h6>Idea<\/h6>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>The result: Thursday\u2019s homework is a mess. It seems entirely possible that Spacing benefits learning when you do it with one topic in the psychology lab, but that\u2014when teachers try it in the classroom\u2014the muddled syllabus might undermine all the benefits that Spacing should provide. In brief: Spacing Good, Muddling Bad.<\/p>\n<p>Researcher Doug Rohrer has investigated this question, and here\u2019s what he found<sup><a href=\"http:\/\/edr.sagepub.com\/content\/39\/5\/406.abstract\" target=\"_blank\">3<\/a><\/sup>.<\/p>\n<p>He had one group of students come to his lab to learn four unusual math procedures. These students read one tutorial, and did practice problems for that procedure; they then read the next tutorial, and did those practice problems, and so forth.<\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"103\">\n<h6><strong>Topic A<\/strong><\/h6>\n<\/td>\n<td width=\"14\"><\/td>\n<td width=\"103\">\n<h6><strong>Topic B<\/strong><\/h6>\n<\/td>\n<td width=\"13\"><\/td>\n<td width=\"104\">\n<h6><strong>Topic C<\/strong><\/h6>\n<\/td>\n<td width=\"13\"><\/td>\n<td width=\"117\">\n<h6><strong>Topic D<\/strong><\/h6>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"103\">\n<h6>A Practice Problems<\/h6>\n<\/td>\n<td width=\"14\"><\/td>\n<td width=\"103\">\n<h6>B Practice Problems<\/h6>\n<\/td>\n<td width=\"13\"><\/td>\n<td width=\"104\">\n<h6>C Practice Problems<\/h6>\n<\/td>\n<td width=\"13\"><\/td>\n<td width=\"117\">\n<h6>D Practice Problems<\/h6>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Another group read all four tutorials, and then did the same practice problems. However, their practice problems were all jumbled together:<\/p>\n<table>\n<tbody>\n<tr>\n<td colspan=\"4\" width=\"103\">\n<h6><strong>Topic A<\/strong><\/h6>\n<\/td>\n<td width=\"14\"><\/td>\n<td colspan=\"4\" width=\"103\">\n<h6><strong>Topic B<\/strong><\/h6>\n<\/td>\n<td width=\"13\"><\/td>\n<td colspan=\"4\" width=\"104\">\n<h6><strong>Topic C<\/strong><\/h6>\n<\/td>\n<td width=\"13\"><\/td>\n<td colspan=\"4\" width=\"117\">\n<h6><strong>Topic D<\/strong><\/h6>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"26\">\n<h6>B<\/h6>\n<\/td>\n<td width=\"26\">\n<h6>D<\/h6>\n<\/td>\n<td width=\"26\">\n<h6>A<\/h6>\n<\/td>\n<td width=\"26\">\n<h6>C<\/h6>\n<\/td>\n<td width=\"14\"><\/td>\n<td width=\"26\">\n<h6>D<\/h6>\n<\/td>\n<td width=\"26\">\n<h6>B<\/h6>\n<\/td>\n<td width=\"26\">\n<h6>C<\/h6>\n<\/td>\n<td width=\"26\">\n<h6>A<\/h6>\n<\/td>\n<td width=\"13\"><\/td>\n<td width=\"26\">\n<h6>C<\/h6>\n<\/td>\n<td width=\"26\">\n<h6>B<\/h6>\n<\/td>\n<td width=\"26\">\n<h6>A<\/h6>\n<\/td>\n<td width=\"26\">\n<h6>D<\/h6>\n<\/td>\n<td width=\"13\"><\/td>\n<td width=\"29\">\n<h6>A<\/h6>\n<\/td>\n<td width=\"29\">\n<h6>C<\/h6>\n<\/td>\n<td width=\"29\">\n<h6>D<\/h6>\n<\/td>\n<td width=\"29\">\n<h6>B<\/h6>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>You can see that the first group looks like my first syllabus: nicely organized; the second group looks like Thursday night on my second syllabus: a jumbled muddle. (Rohrer, more politely, calls this second structure \u201cinterleaved.\u201d)<\/p>\n<p>When it came to the practice problems, as I feared, the students in the jumbled group didn\u2019t do very well: they got 60% of the problems right, compared to 88% in the traditionally organized group.<\/p>\n<p>However, what happened when Rohrer\u2019s groups came back two weeks later to take a test? The jumbled group, once again, remembered about 60%. The traditionally organized group remembered 20%.<\/p>\n<p>Yes, 20%. Their score fell 66% in two weeks.<\/p>\n<p><a href=\"https:\/\/braindevs.net\/blog\/\/wp-content\/uploads\/2015\/12\/AW-graph1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-897\" src=\"https:\/\/braindevs.net\/blog\/\/wp-content\/uploads\/2015\/12\/AW-graph1.png\" alt=\"AW graph1\" width=\"950\" height=\"668\" srcset=\"https:\/\/www.braindevs.net\/blog\/wp-content\/uploads\/2015\/12\/AW-graph1.png 950w, https:\/\/www.braindevs.net\/blog\/wp-content\/uploads\/2015\/12\/AW-graph1-300x211.png 300w\" sizes=\"auto, (max-width: 950px) 100vw, 950px\" \/><\/a><\/p>\n<p>Why did that happen?<\/p>\n<p>Two ideas seem most plausible.<\/p>\n<p><strong>First:<\/strong> Rohrer\u2019s first group learned the four math procedures, but they didn\u2019t practice deciding when to use each one. Because their practice problems always aligned with the technique they had just practiced, they never had to figure out when to use which one. So, two weeks later, they struggled to know which equation to use.<\/p>\n<p><strong>Second:<\/strong> Rohrer\u2019s group had more <em>opportunities to forget<\/em>. Because their practice problems required them to switch from technique to technique, they never could get into a groove. Each problem, they had time to forget the techniques they weren\u2019t practicing, and so had more opportunities to remember those techniques anew.<\/p>\n<p>These two research pools lead to these conclusions: spacing benefits learning (because it allows forgetting). And, spacing requires a jumbled\/interleaved syllabus\u2014which also benefits learning (because, again, it allows forgetting).<\/p>\n<p>A final note about research. The \u201cSpacing Effect\u201d is very well documented, and at this point is not controversial. The benefits of interleaving, however, have been shown by fewer studies; and some of the studies with high-school aged students have been equivocal<sup><a href=\"http:\/\/www.indiana.edu\/~pcl\/rgoldsto\/courses\/dunloskyimprovinglearning.pdf\" target=\"_blank\">1<\/a><\/sup>. But this much is clear; the combination of spacing &amp; interleaving leads to more learning than the traditional syllabus.<\/p>\n<p>Because, as you now remember, forgetting can help you learn.<\/p>\n<p><strong>References &amp; Further Reading<\/strong><\/p>\n<ol>\n<li>Dunlosky, J., Rawson, K. A., Marsh, E. J., Nathan, M. J., &amp; Willingham, D. T. (2013). Improving students\u2019 learning with effective learning techniques promising directions from cognitive and educational psychology.\u00a0<em>Psychological Science in the Public Interest<\/em>,\u00a0<em>14<\/em>(1), 4-58. [<strong><a href=\"http:\/\/www.indiana.edu\/~pcl\/rgoldsto\/courses\/dunloskyimprovinglearning.pdf\" target=\"_blank\">Paper<\/a><\/strong>]<\/li>\n<li>Pashler, H., Rohrer, D., Cepeda, N. J., &amp; Carpenter, S. K. (2007). Enhancing learning and retarding forgetting: Choices and consequences.\u00a0<em>Psychonomic bulletin &amp; review<\/em>,\u00a0<em>14<\/em>(2), 187-193. [<strong><a href=\"http:\/\/www.pashler.com\/Articles\/Pashler.Rohrer.Cepeda.Carpenter_2007.pdf\" target=\"_blank\">Paper<\/a><\/strong>]<\/li>\n<li>Rohrer, D., &amp; Pashler, H. (2010). Recent research on human learning challenges conventional instructional strategies.<em>Educational Researcher<\/em>,\u00a0<em>39<\/em>(5), 406-412. [<strong><a href=\"http:\/\/edr.sagepub.com\/content\/39\/5\/406.abstract\" target=\"_blank\">Paper<\/a><\/strong>]<\/li>\n<\/ol>\n<ul>\n<li>Brown, P., Roediger, H. L., &amp; McDaniel, M.A. (2014) <em>Make it stick: The science of successful learning.<\/em> Cambridge: The Belknap Press of Harvard University Press. [<strong><a href=\"http:\/\/www.amazon.com\/Make-It-Stick-Successful-Learning\/dp\/0674729013\" target=\"_blank\">Book<\/a><\/strong>]<\/li>\n<li>Carey<em>,<\/em>\u00a0B. (2014).<em> How we learn: The surprising truth about when, where, and why it happens<\/em>. New York: Random House. [<strong><a href=\"http:\/\/www.amazon.com\/How-We-Learn-Surprising-Happens\/dp\/0812984293\" target=\"_blank\">Book<\/a><\/strong>]<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>A previous article argued, paradoxically, that remembering can cause forgetting. Today\u2019s entry reverses the paradox: forgetting, you see, benefits remembering. You read that right: if you want to remember, it helps to forget. Let me explain. Today in class, I taught my students a new verb tense (or a new technique for proving that lines [&hellip;]<\/p>\n","protected":false},"author":18,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"class_list":["post-894","post","type-post","status-publish","format-standard","hentry","category-lb-blog"],"_links":{"self":[{"href":"https:\/\/www.braindevs.net\/blog\/wp-json\/wp\/v2\/posts\/894","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.braindevs.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.braindevs.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.braindevs.net\/blog\/wp-json\/wp\/v2\/users\/18"}],"replies":[{"embeddable":true,"href":"https:\/\/www.braindevs.net\/blog\/wp-json\/wp\/v2\/comments?post=894"}],"version-history":[{"count":6,"href":"https:\/\/www.braindevs.net\/blog\/wp-json\/wp\/v2\/posts\/894\/revisions"}],"predecessor-version":[{"id":903,"href":"https:\/\/www.braindevs.net\/blog\/wp-json\/wp\/v2\/posts\/894\/revisions\/903"}],"wp:attachment":[{"href":"https:\/\/www.braindevs.net\/blog\/wp-json\/wp\/v2\/media?parent=894"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.braindevs.net\/blog\/wp-json\/wp\/v2\/categories?post=894"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.braindevs.net\/blog\/wp-json\/wp\/v2\/tags?post=894"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}