{"id":835,"date":"2012-02-02T14:01:40","date_gmt":"2012-02-02T14:01:40","guid":{"rendered":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/?p=835"},"modified":"2012-02-02T14:01:40","modified_gmt":"2012-02-02T14:01:40","slug":"converting-radians-to-degrees","status":"publish","type":"post","link":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/?p=835","title":{"rendered":"Converting radians to degrees"},"content":{"rendered":"<p><a href=\"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/wp-content\/uploads\/2012\/01\/Capture-1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-836\" title=\"Capture 1\" src=\"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/wp-content\/uploads\/2012\/01\/Capture-1.png\" alt=\"\" width=\"293\" height=\"138\" \/><\/a>The question shown on the left is actually quite well answered (81% of students got it right at the first attempt)\u00a0especially since it is in the formative-only practice assessment rather than the summative end-of-module assessment.<\/p>\n<p>However it is interesting that the most common error to all variants of this question (in 4.4% of responses) is to calculate the value of the fraction (3\u03c0\/4 in the variant shown) rather than converting to degrees.<\/p>\n<p>I find this particularly interesting because this error feels conceptually similar to\u00a0 that\u00a0made when students give the values at which a\u00a0line has zero value rather than where its gradient is zero (see <a href=\"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/?p=748\">&#8216;Function or\u00a0derivative?<\/a>&#8216;)\u00a0or when they give twice a number rather\u00a0than\u00a0squaring it.\u00a0I&#8217;m not sure whether there really\u00a0is some\u00a0conceptually similar misunderstanding or whether the students who make these mistakes \u00a0just haven&#8217;t a clue!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The question shown on the left is actually quite well answered (81% of students got it right at the first attempt)\u00a0especially since it is in the formative-only practice assessment rather than the summative end-of-module assessment. However it is interesting that &hellip; <a href=\"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/?p=835\">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":[111],"tags":[369],"class_list":["post-835","post","type-post","status-publish","format-standard","hentry","category-mathematical-misunderstandings","tag-mathematical-misunderstandings"],"_links":{"self":[{"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=\/wp\/v2\/posts\/835","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=835"}],"version-history":[{"count":4,"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=\/wp\/v2\/posts\/835\/revisions"}],"predecessor-version":[{"id":861,"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=\/wp\/v2\/posts\/835\/revisions\/861"}],"wp:attachment":[{"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=835"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=835"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=835"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}