{"id":143,"date":"2007-01-11T21:38:56","date_gmt":"2007-01-11T21:38:56","guid":{"rendered":"http:\/\/www.sixthform.info\/maths\/?p=143"},"modified":"2020-03-14T19:29:30","modified_gmt":"2020-03-14T19:29:30","slug":"mathematics-is-different","status":"publish","type":"post","link":"https:\/\/www.sixthform.info\/maths\/?p=143","title":{"rendered":"Mathematics <i>is<\/i> different"},"content":{"rendered":"<p>Two blog posts have caught my eye. The first is <a href=\"http:\/\/www.maths.manchester.ac.uk\/~avb\/micromathematics\/2007\/01\/time-lag-in-learning-mathematics.html\" target=\"_blank\" rel=\"noopener noreferrer\">Time Lag in Learning Mathematics<\/a> which talks about the time it takes for a student to learn mathematics followed by the observation that one cannot be said to understand a topic until one can apply it. This often only occurs in the year after one has learnt the subject which is why I often tell my university students that it will always be true that <i>Last year&#8217;s course was easy, this year&#8217;s is hard and next year&#8217;s is impossible<\/i>.<\/p>\n<p>A very important point that <a href=\"http:\/\/www.maths.manchester.ac.uk\/~avb\/micromathematics\/index.html\" target=\"_blank\" rel=\"noopener noreferrer\">Mathematics under the Microscope<\/a> makes is that anyone teaching mathematics should have a qualification at least one level higher than that being taught. <\/p>\n<p>It is so hard to convince non-mathematicians that teaching and learning mathematics is very different from most other subjects. This partly accounts for the appalling state of teacher training and observation in the UK and why I absolutely refused to be judged by unqualified observers.<\/p>\n<p>In the second post <a href=\"http:\/\/www.neverendingbooks.org\/index.php\/2007\/01\/11\/the-secret-life-of-numbers\/\" target=\"_blank\" rel=\"noopener noreferrer\">the secret life of numbers<\/a> gives a quote from the book it is discussing which gives a better alternative to a question I often ask <i>Why are people happy to admit to being innumerate but prefer to hide their illiteracy?<\/i> PS <a href=\"http:\/\/www.maths.manchester.ac.uk\/~avb\/micromathematics\/2007\/01\/why-are-people-happy-to-admit-to-being.html\" target=\"_blank\" rel=\"noopener noreferrer\">Mathematics under the Microscope<\/a> has an interesting response to this.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Two blog posts have caught my eye. The first is Time Lag in Learning Mathematics which talks about the time it takes for a student to learn mathematics followed by the observation that one cannot be said to understand a topic until one can apply it. This often only occurs in the year after one [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-143","post","type-post","status-publish","format-standard","hentry","category-articles"],"_links":{"self":[{"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=\/wp\/v2\/posts\/143","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=143"}],"version-history":[{"count":1,"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=\/wp\/v2\/posts\/143\/revisions"}],"predecessor-version":[{"id":299,"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=\/wp\/v2\/posts\/143\/revisions\/299"}],"wp:attachment":[{"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=143"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=143"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=143"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}