{"id":3061,"date":"2010-12-15T01:45:01","date_gmt":"2010-12-15T00:45:01","guid":{"rendered":"http:\/\/www.walkingrandomly.com\/?p=3061"},"modified":"2010-12-15T20:13:53","modified_gmt":"2010-12-15T19:13:53","slug":"farthings-hapennys-and-being-tricked-into-teaching-yourself","status":"publish","type":"post","link":"https:\/\/walkingrandomly.com\/?p=3061","title":{"rendered":"Farthings, ha’pennys and being tricked into teaching yourself"},"content":{"rendered":"

When I was 4 or 5 years old, my father taught me a lot of basic mathematics by exploiting my obsession with my grandmother’s collection of antiquated coins which I played with every chance I got.\u00a0 I loved the weird and wonderful collection of shapes and denominations that made up old English money; thruppenny bits<\/a>, florins<\/a>, shillings<\/a>, ha’pennys<\/a>, crowns<\/a>, guineas<\/a>…..there seemed to be no end to the variety and I loved them all.\u00a0 I was most definitely a noomtist which was the best rendition my\u00a0 young self could give of the word ‘numismatist’.<\/p>\n

A farthing<\/a> is an old English coin that was worth a quarter of a penny and Gran had lots of them.\u00a0 Dad would ask me things like “I’ve got a halfpenny and a farthing, if I changed the lot to farthings then how many would I have?” <\/strong>and “How many farthings are there in a sixpence”<\/strong>.\u00a0 Initially I would answer these questions by physically counting the coins.\u00a0 For example, I knew that there were 4 farthings in a penny so I would make 6 stacks of 4 and then count them, one by one, to get the answer: 1,2,3,4,5……21,22,23,24<\/p>\n

\"farthing<\/p>\n

This became laborious so at some point I’d answer similar questions by ‘counting in 4s’: 4,8,12…. and so on.\u00a0 Eventually, I didn’t need to count – I just knew that 6 stacks of 4 was 24 and so I had been tricked into learning my 4 times table before I had even started school.\u00a0 Dad, for his part, hadn’t delivered a single maths lesson – he just spent a few hours playing shopkeeper with his son.<\/p>\n

Later, dad\u00a0 told me that there was such a thing as a third-farthing<\/a> (1\/12 of a penny) but Gran didn’t have any.\u00a0 If she did though, and he had 2 of them along with a farthing and a half-penny coin then how much money would he have?\u00a0 Questions such as this taught me about the arithmetic of fractions with no mention of the words ‘common denominator’ in sight.\u00a0 Good job too because, back then, I doubt I would have been able to pronounce ‘denominator’.<\/p>\n

In fact it would be more accurate to say that I ‘discovered how to add fractions’ – my wily old dad didn’t teach me a thing – he just asked me questions about the fascinating little shiny things while we played games together.<\/p>\n","protected":false},"excerpt":{"rendered":"

When I was 4 or 5 years old, my father taught me a lot of basic mathematics by exploiting my obsession with my grandmother’s collection of antiquated coins which I played with every chance I got.\u00a0 I loved the weird and wonderful collection of shapes and denominations that made up old English money; thruppenny bits, […]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[6],"tags":[],"class_list":["post-3061","post","type-post","status-publish","format-standard","hentry","category-general-math"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3swhs-Nn","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/3061","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3061"}],"version-history":[{"count":6,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/3061\/revisions"}],"predecessor-version":[{"id":3066,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/3061\/revisions\/3066"}],"wp:attachment":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3061"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3061"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3061"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}