{"id":453,"date":"2011-04-27T09:15:50","date_gmt":"2011-04-27T09:15:50","guid":{"rendered":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/?p=453"},"modified":"2011-07-31T11:13:14","modified_gmt":"2011-07-31T11:13:14","slug":"to-two-significant-figures","status":"publish","type":"post","link":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/?p=453","title":{"rendered":"to two significant figures"},"content":{"rendered":"<p>I know\u00a0I keep banging on about the importance of monitoring your questions when they are &#8216;out there&#8217;, being used by students. If what follows\u00a0appears to be\u00a0a bit of a trick (and in a sense it is), it&#8217;s a trick with firm foundations &#8211; the monitoring of many thousands of student responses.<!--more--><\/p>\n<p>We teach our students the importance of quoting their answers to an appropriate precision and in the book we write answers like &#8216;length = 3.7\u00a0m to two significant figures&#8217;. Somehow it didn&#8217;t occur to us that students would, in similar style, quote the precision to which they were giving their answers. I guess this shouldn&#8217;t have surprised us, but it did. Perhaps the fact that students wrote &#8216;to two significant figures&#8217; or &#8216;(2 s.f.)&#8217; after their answers gives support for the <a href=\"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/?p=346\">computers as social actors <\/a>hypothesis or perhaps students are just doing what we&#8217;d taught them to do.<\/p>\n<p>Whatever it created a bit of a problem. We could hardly mark an answer wrong because of the presence of this extra text, but how could we achieve accurate answer matching in its presence? I know that some people get round this by simply telling students not to write extra text of this sort, but I didn&#8217;t want to do this. When the final answer has no units &#8211; and you are not assessing the fact that it has no units &#8211; we have found it acceptable to simply remove all text after the answer before doing the answer matching. But when you are assessing units you can&#8217;t do this &#8211; you want to check that the student has not written 3.7 miles, 3.7 mars bars or (more likely) 3.7\u00a0m s<sup>-1<\/sup>. Simply removing all text after the unit won&#8217;t work.<\/p>\n<p>Now comes the trick. We looked at how students actually enter the text that indicates their precision. There are all permutations and combinations of\u00a0\u00a0&#8216;to two significant figures&#8217;\u00a0, \u00a0&#8216;(2 s.f.)&#8217;\u00a0 etc., but they always seem to\u00a0start with \u00a0the word &#8216;to&#8217; or with an opening bracket &#8216;(&#8216;. So we simply remove all text that starts in one of these ways. Simple, but it seems to work. The screenshots below illustrate a question with this fix in place. Compare:<\/p>\n<p><a href=\"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/wp-content\/uploads\/2011\/04\/Capture.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-454\" title=\"Capture\" src=\"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/wp-content\/uploads\/2011\/04\/Capture.png\" alt=\"\" width=\"594\" height=\"532\" srcset=\"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/wp-content\/uploads\/2011\/04\/Capture.png 594w, https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/wp-content\/uploads\/2011\/04\/Capture-300x268.png 300w\" sizes=\"auto, (max-width: 594px) 100vw, 594px\" \/><\/a><\/p>\n<p>With:<\/p>\n<p><a href=\"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/wp-content\/uploads\/2011\/04\/Capture-12.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-462\" title=\"Capture 1\" src=\"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/wp-content\/uploads\/2011\/04\/Capture-12.png\" alt=\"\" width=\"592\" height=\"393\" srcset=\"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/wp-content\/uploads\/2011\/04\/Capture-12.png 592w, https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/wp-content\/uploads\/2011\/04\/Capture-12-300x199.png 300w\" sizes=\"auto, (max-width: 592px) 100vw, 592px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>I know\u00a0I keep banging on about the importance of monitoring your questions when they are &#8216;out there&#8217;, being used by students. If what follows\u00a0appears to be\u00a0a bit of a trick (and in a sense it is), it&#8217;s a trick with &hellip; <a href=\"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/?p=453\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[97,110,117],"tags":[17,35,368,118,372],"class_list":["post-453","post","type-post","status-publish","format-standard","hentry","category-computers-as-social-actors","category-question-analysis","category-significant-figures","tag-icmas","tag-openmark","tag-question-analysis","tag-response-matching","tag-significant-figures"],"_links":{"self":[{"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=\/wp\/v2\/posts\/453","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=453"}],"version-history":[{"count":6,"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=\/wp\/v2\/posts\/453\/revisions"}],"predecessor-version":[{"id":599,"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=\/wp\/v2\/posts\/453\/revisions\/599"}],"wp:attachment":[{"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=453"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=453"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=453"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}