{"id":1077,"date":"2019-06-12T13:42:10","date_gmt":"2019-06-12T17:42:10","guid":{"rendered":"http:\/\/josmfs.net\/?p=1077"},"modified":"2024-04-10T17:55:27","modified_gmt":"2024-04-10T21:55:27","slug":"cube-roots-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/06\/12\/cube-roots-problem\/","title":{"rendered":"Cube Roots Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-1074\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/06\/Cube-Roots-Fig.jpg\" alt=\"\" width=\"150\" height=\"214\" \/>In a June <em>Chalkdust<\/em> <a href=\"http:\/\/chalkdustmagazine.com\/blog\/review-of-problem-solving-in-gcse-mathematics\/\">book review<\/a> of Daniel Griller\u2019s second book, <em>Problem solving in GCSE mathematics<\/em>, Matthew Scroggs presented the following problem #65 from the book (without a solution):<br \/>\n&#8220;Solve <span style=\"color: #ffffff;\">_______________<\/span><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-1075 alignnone\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/06\/Cube-Roots-Equation.jpg\" alt=\"\" width=\"95\" height=\"43\" \/>&#8221;<\/p>\n<p>Scroggs\u2019s initial reaction to the problem was \u201cit took me a while to realise that I even knew how to solve it.\u201d<\/p>\n<p>Mind you, according to <em>Wikipedia<\/em>, \u201cGCSEs [General Certificate of Secondary Education] were introduced in 1988 [in the UK] to establish a national qualification for those who decided to leave school at 16, without pursuing further academic study towards qualifications such as A-Levels or university degrees.\u201d My personal feeling is that any student who could solve this problem should be encouraged to continue their education with a possible major in a STEM field.<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Cube-Roots-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/06\/Cube-Roots-Problem-190612.pdf\">Cube Roots Problem<\/a> for a solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In a June Chalkdust book review of Daniel Griller\u2019s second book, Problem solving in GCSE mathematics, Matthew Scroggs presented the following problem #65 from the book (without a solution): &#8220;Solve _______________&#8221; Scroggs\u2019s initial reaction to the problem was \u201cit took me a while to realise that I even knew how to solve it.\u201d Mind you, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[133,255,146,93],"class_list":["post-1077","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-algebra","tag-dan-griller","tag-gsce-problems","tag-matthew-scroggs"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1077","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=1077"}],"version-history":[{"count":13,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1077\/revisions"}],"predecessor-version":[{"id":3825,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1077\/revisions\/3825"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1077"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1077"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1077"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}