{"id":1817,"date":"2018-07-29T08:37:51","date_gmt":"2018-07-29T08:37:51","guid":{"rendered":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/?p=1817"},"modified":"2018-07-29T08:37:51","modified_gmt":"2018-07-29T08:37:51","slug":"a-shepherd-has-125-sheep-and-5-dogs-how-old-is-the-shepherd","status":"publish","type":"post","link":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/?p=1817","title":{"rendered":"\u201cA shepherd has 125 sheep and 5 dogs. How old is the shepherd?\u201d"},"content":{"rendered":"<p>To my mind this question is clearly unanswerable.<\/p>\n<p>I was therefore shocked to read, in an old but interesting book (Redish, 2003) that many schoolchildren try to find an answer. (\u201cThe teacher, wouldn\u2019t give me a problem that has no solution\u201d).<\/p>\n<p>Furthermore they frequently come up with an answer of 25. (\u201cThere are only two numbers to work with: 5 and 125. Adding, multiplying and subtracting them doesn\u2019t give something that could be an age. Only dividing gives a plausible answer.\u201d)<\/p>\n<p>I find that worrying. It links to the fact that true problem solving is about more than finding the right formula to use by trial and error and then manipulating it. I&#8217;m really not sure that many of our students develop the problem solving skills that we want them to develop; skills that would help in the real world as well as in passing physics exams.<\/p>\n<p>We want our students to be independent and reflective learners, understanding the relevance of what they learn for the real world. How do we encourage these behaviours? I don&#8217;t know, but I find it worrying that Joe Redish goes on to report that so called unfavourable behaviours (Hammer, 1996) actually increased after instruction, at the expense of favourable behaviours.<\/p>\n<p>Hammer, D. (1996) More than misconceptions: Multiple perspectives on student knowledge and reasoning, and an appropriate role for education research, Am J. Phys, 64, 1316-1325.<\/p>\n<p>Redish, E.F. (2003) Teaching physics with the Physics Suite. Wiley.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>To my mind this question is clearly unanswerable. I was therefore shocked to read, in an old but interesting book (Redish, 2003) that many schoolchildren try to find an answer. (\u201cThe teacher, wouldn\u2019t give me a problem that has no &hellip; <a href=\"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/?p=1817\">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":[72],"tags":[455,355,456],"class_list":["post-1817","post","type-post","status-publish","format-standard","hentry","category-independent-learning","tag-checking-answers","tag-independent-learning","tag-joe-redish"],"_links":{"self":[{"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=\/wp\/v2\/posts\/1817","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=1817"}],"version-history":[{"count":1,"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=\/wp\/v2\/posts\/1817\/revisions"}],"predecessor-version":[{"id":1818,"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=\/wp\/v2\/posts\/1817\/revisions\/1818"}],"wp:attachment":[{"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1817"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1817"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.open.ac.uk\/blogs\/SallyJordan\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1817"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}