{"id":7222,"date":"2018-03-04T00:09:30","date_gmt":"2018-03-04T00:09:30","guid":{"rendered":"http:\/\/www.froginawell.net\/frog\/?p=7222"},"modified":"2018-03-04T00:09:49","modified_gmt":"2018-03-04T00:09:49","slug":"teaching-tokugawa-education","status":"publish","type":"post","link":"https:\/\/froginawell.net\/frog\/2018\/03\/teaching-tokugawa-education\/","title":{"rendered":"Teaching Tokugawa math"},"content":{"rendered":"<p>Do you teach Tokugawa Japan? If so you probably spend some time talking about the rise of popular education, the <a href=\"https:\/\/en.wikipedia.org\/wiki\/Terakoya\"><em>terakoya<\/em><\/a> temple schools etc. I found a good book to help explain the rise of math education. It is Fukagawa, H., &amp; Rothman, T. (2008). <i>Sacred mathematics : Japanese temple geometry<\/i>. Princeton: Princeton University Press. The book itself seems to be more aimed at people who\u00a0 like solving math problems, but there are a lot of pictures that can help you teach about why people wanted to get educated. Here is a merchant who has prospered because he has learned math.<\/p>\n<p><a href=\"http:\/\/www.froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-003.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-7226\" src=\"http:\/\/www.froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-003-300x232.jpg\" alt=\"\" width=\"300\" height=\"232\" srcset=\"https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-003-300x232.jpg 300w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-003-768x595.jpg 768w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-003-700x542.jpg 700w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-003-800x619.jpg 800w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-003.jpg 1824w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Why does math help? Well, here is an oil merchant who has measure out some oil using two ladles of the wrong sizes. I bet math would help him!<\/p>\n<p><a href=\"http:\/\/www.froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-004.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-7227\" src=\"http:\/\/www.froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-004-300x148.jpg\" alt=\"\" width=\"300\" height=\"148\" srcset=\"https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-004-300x148.jpg 300w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-004-768x379.jpg 768w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-004-700x346.jpg 700w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-004-800x395.jpg 800w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-004.jpg 1792w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Ugh. A story problem. If I have to do story problems I am not going to be an oil merchant. Maybe I will grow up to be a ruthless bandit!<\/p>\n<p><a href=\"http:\/\/www.froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-002.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-7225\" src=\"http:\/\/www.froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-002-300x151.jpg\" alt=\"\" width=\"300\" height=\"151\" srcset=\"https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-002-300x151.jpg 300w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-002-768x387.jpg 768w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-002-700x353.jpg 700w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-002-800x403.jpg 800w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-002.jpg 1779w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Bandits dividing a piece of stolen cloth. Maybe everyone needs math.<\/p>\n<p>That math is useful for lots of people in a commercial society is not surprising, although the pictures help. What I found most interesting were the shrine geometry problems. Apparently there were math groups that would show up at shrines and try to solve the posted problems. Here is one of the placards<\/p>\n<p><a href=\"http:\/\/www.froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-009.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-7231\" src=\"http:\/\/www.froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-009-300x139.jpg\" alt=\"\" width=\"300\" height=\"139\" srcset=\"https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-009-300x139.jpg 300w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-009-768x356.jpg 768w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-009-700x324.jpg 700w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-009-800x371.jpg 800w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>A later version<\/p>\n<p><a href=\"http:\/\/www.froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-007.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-7230\" src=\"http:\/\/www.froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-007-300x280.jpg\" alt=\"\" width=\"300\" height=\"280\" srcset=\"https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-007-300x280.jpg 300w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-007-768x718.jpg 768w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-007-700x654.jpg 700w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-007-800x748.jpg 800w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-007.jpg 1464w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>and a modernized version<\/p>\n<p><a href=\"http:\/\/www.froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-005.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-7228\" src=\"http:\/\/www.froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-005-300x165.jpg\" alt=\"\" width=\"300\" height=\"165\" srcset=\"https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-005-300x165.jpg 300w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-005-768x422.jpg 768w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-005-700x385.jpg 700w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-005-800x440.jpg 800w, https:\/\/froginawell.net\/frog\/wp-content\/uploads\/2018\/03\/Baumler-page-005.jpg 1816w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>They look like geometry proofs to me.<\/p>\n<p>I would have liked more social history on these math groups. Was there some religious significance to them? I assume that to some extent math groups served as social networks, like poetry groups, but I would like more on that. They mention that women sometimes solved these, but little else on the make-up of the groups. This being Tokugawa Japan I bet there are several 12-volume studies of these math groups, but nothing I could quickly google led me to an explanation of the social background.\u00a0 There is at least some info here Noel J. Pinnington. (2009). <i>Sacred Mathematics: Japanese Temple Geometry<\/i> (review). <i>Monumenta Nipponica,<\/i> <i>64<\/i>(1), 174-177.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Do you teach Tokugawa Japan? If so you probably spend some time talking about the rise of popular education, the terakoya temple schools etc. I found a good book to help explain the rise of math education. It is Fukagawa, H., &amp; Rothman, T. (2008). Sacred mathematics : Japanese temple geometry. Princeton: Princeton University Press&#8230;.<\/p>\n","protected":false},"author":25,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[63,163,207],"tags":[],"class_list":["post-7222","post","type-post","status-publish","format-standard","hentry","category-japan","category-teaching","category-207"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p9yoH3-1Su","_links":{"self":[{"href":"https:\/\/froginawell.net\/frog\/wp-json\/wp\/v2\/posts\/7222","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/froginawell.net\/frog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/froginawell.net\/frog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/froginawell.net\/frog\/wp-json\/wp\/v2\/users\/25"}],"replies":[{"embeddable":true,"href":"https:\/\/froginawell.net\/frog\/wp-json\/wp\/v2\/comments?post=7222"}],"version-history":[{"count":4,"href":"https:\/\/froginawell.net\/frog\/wp-json\/wp\/v2\/posts\/7222\/revisions"}],"predecessor-version":[{"id":7234,"href":"https:\/\/froginawell.net\/frog\/wp-json\/wp\/v2\/posts\/7222\/revisions\/7234"}],"wp:attachment":[{"href":"https:\/\/froginawell.net\/frog\/wp-json\/wp\/v2\/media?parent=7222"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/froginawell.net\/frog\/wp-json\/wp\/v2\/categories?post=7222"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/froginawell.net\/frog\/wp-json\/wp\/v2\/tags?post=7222"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}