{"id":238,"date":"2009-02-15T10:48:19","date_gmt":"2009-02-15T10:48:19","guid":{"rendered":"http:\/\/melacey.com\/blog\/?p=238"},"modified":"2019-08-29T19:24:33","modified_gmt":"2019-08-30T01:24:33","slug":"the-art-of-mathematics","status":"publish","type":"post","link":"https:\/\/melacey.com\/blog\/edu\/the-art-of-mathematics\/","title":{"rendered":"The Art of Mathematics"},"content":{"rendered":"<p>Mathematics requires creative thinking. Look at a problem, view it from learned perspectives and then think of a creative way to view it again. Visualize, imagine, play, experiment, rethink and do it all over again. Create a hypothesis, test it, wonder what is wrong, fix it then \u2026 do it all over again. Tweak your thoughts, expand your mind, look elsewhere for inspiration and apply new concepts to old problems, examine new tools, apply new tools, and do that all over again. Arithmetic is not mathematics. Using existing knowledge and reapplying it to the same problems is not mathematics. Mathematics is wondering.<\/p>\n<p>Mathematics is creative play with ideas, shapes, formulas, spaces, machines, \u2026 the list will go on. Mathematics transforms a mind, expands it. Here&#8217;s a story that I wrote to illustrate different thinking.&nbsp;<\/p>\n<h2>Love Lego\u00ae Lesson<\/h2>\n<h5>\u00a9 2009 Marlene E. Lacey<\/h5>\n<p>Primary grade teacher interupts a student lost in thought, &#8220;So what is 3 plus 3, Johnny?&#8221;<\/p>\n<p>&#8220;Heck, I dunno.&#8221; he says. &#8220;I&#8217;m imagining putting my Lego together. I had these three kits that I got for my birthday. I was really excited about them. (&#8216;Cause, I love&nbsp;<a href=\"http:\/\/marlenelacey.com\/blog\/20090211.htm\">Lego\u00ae<\/a>.) Darn it all, my younger brothers lost pieces out of each one. I just want to play with my Lego. I was wondering what I can make with the pieces that I&#8217;ve got.&#8221;<\/p>\n<p>After his spoken musing, Johnny looked at the irritated teacher. She was concerned about Johhny&#8217;s failing grade and it showed on her face. He saw three worry lines on his teacher&#8217;s forehead and thought, <em>That&#8217;s one worried teacher!<\/em><\/p>\n<p>&#8220;Oh, all right,&#8221; he reacted to her furrowing brow and put more thought into her question. Quickly, he put up both of his hands; three fingers were raised on each hand. &#8220;2&#8221;, he says, &#8220;three fingers on this hand and three fingers on this hand. That&#8217;s two hands. So, 3 plus 3 is 2. Can I think about my Lego now?&#8221;<\/p>\n<p>&#8220;Johnny!&#8221; snapped the teacher, &#8220;I think you should remember that 3 plus 3 is 6. You need to know this before you can move on.&#8221;<\/p>\n<p>&#8220;Oh, teacher,&#8221; he said as he had already got back to his wondering about his Lego. &#8220;I really don&#8217;t think I&#8217;m wrong. You know if I make one building out of my 3 Lego sets and if I do it again, I&#8217;ll have 2 buildings. So, I just don&#8217;t understand why you think 2 is a wrong answer.&#8221;<\/p>\n<p>(If you enjoyed this, you might enjoy reading&nbsp;<a href=\"http:\/\/marlenelacey.com\/blog\/20090211.htm\">Lego\u00ae&nbsp;Love<\/a>. You&#8217;ll see that I like playing with Lego in a different way, like Johnny, I think mathematics should be creative play.<\/p>\n<h3>Related Images:<\/h3><div class=\"ngg-related-gallery\">\n\t\t\t<a href=\"https:\/\/melacey.com\/blog\/wp-content\/gallery\/writing\/bok-micah2.jpg?t=1569153959\"\n\t\t\ttitle=\"From a photo &quot;Christian Bok and Micah Lexier - Front Windows of Gallery MKG127, 2007 Toronto, Canada&quot;, I reworked the windows to add a third piece.\"\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tclass='nextgen_pro_lightbox' data-nplmodal-gallery-id='2add2528cef82f5fa37e5f3cc37aaa97' data-ngg-protect=\"1\" data-image-id=\"435\" data-src=\"https:\/\/melacey.com\/blog\/wp-content\/gallery\/writing\/bok-micah2.jpg?t=1569153959\" data-thumbnail=\"https:\/\/melacey.com\/blog\/wp-content\/gallery\/writing\/thumbs\/thumbs_bok-micah2.jpg?t=1569153959\" data-title=\"experimental\" data-description=\"From a photo &quot;Christian Bok and Micah Lexier - Front Windows of Gallery MKG127, 2007 Toronto, Canada&quot;, I reworked the windows to add a third piece.\">\n\t\t\t<img loading=\"lazy\" title=\"experimental\"\n\t\t\t\talt=\"experimental\"\n\t\t\t\tdata-image-id=\"435\"\n\t\t\t\tsrc=\"\"\/>\n\t\t<\/a>\n\t\t\t<a href=\"https:\/\/melacey.com\/blog\/wp-content\/gallery\/a4p\/afp_2004-1_page_45.jpg\"\n\t\t\ttitle=\"A poetic response to Heather Spears work,  \u201cIktamal&quot;, DRAWN FROM THE FIRE Children of the Intifada, exhibition catalogue, 1989.  ISBN-87-983320-7 \"\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tclass='nextgen_pro_lightbox' data-nplmodal-gallery-id='2add2528cef82f5fa37e5f3cc37aaa97' data-ngg-protect=\"1\" data-image-id=\"436\" data-src=\"https:\/\/melacey.com\/blog\/wp-content\/gallery\/a4p\/afp_2004-1_page_45.jpg\" data-thumbnail=\"https:\/\/melacey.com\/blog\/wp-content\/gallery\/a4p\/thumbs\/thumbs_afp_2004-1_page_45.jpg\" data-title=\"War No More\" data-description=\"A poetic response to Heather Spears work,  \u201cIktamal&quot;, DRAWN FROM THE FIRE Children of the Intifada, exhibition catalogue, 1989.  ISBN-87-983320-7 \">\n\t\t\t<img loading=\"lazy\" title=\"War No More\"\n\t\t\t\talt=\"War No More\"\n\t\t\t\tdata-image-id=\"436\"\n\t\t\t\tsrc=\"\"\/>\n\t\t<\/a>\n\t\t\t<a href=\"https:\/\/melacey.com\/blog\/wp-content\/gallery\/writing\/zero.jpg?t=1569153959\"\n\t\t\ttitle=\"Like zero, I will impact the world.\nAn empty page holds the space for all of my untold stories.\"\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tclass='nextgen_pro_lightbox' data-nplmodal-gallery-id='2add2528cef82f5fa37e5f3cc37aaa97' data-ngg-protect=\"1\" data-image-id=\"617\" data-src=\"https:\/\/melacey.com\/blog\/wp-content\/gallery\/writing\/zero.jpg?t=1569153959\" data-thumbnail=\"https:\/\/melacey.com\/blog\/wp-content\/gallery\/writing\/thumbs\/thumbs_zero.jpg?t=1569153959\" data-title=\"zero\" data-description=\"Like zero, I will impact the world.\nAn empty page holds the space for all of my untold stories.\">\n\t\t\t<img loading=\"lazy\" title=\"zero\"\n\t\t\t\talt=\"zero\"\n\t\t\t\tdata-image-id=\"617\"\n\t\t\t\tsrc=\"\"\/>\n\t\t<\/a>\n\t<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Mathematics requires creative thinking. Look at a problem, view it from learned perspectives and then think of a creative way to view it again. Visualize, imagine, play, experiment, rethink and do it all over again.<a class=\"read-more\" href=\"https:\/\/melacey.com\/blog\/edu\/the-art-of-mathematics\/\">Continue reading<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","ngg_post_thumbnail":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[23,24],"tags":[592,78,593],"class_list":["post-238","post","type-post","status-publish","format-standard","hentry","category-edu","category-writing","tag-edu","tag-math","tag-writing"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>The Art of Mathematics - M. E. Lacey<\/title>\n<meta name=\"description\" content=\"Creative writing and art projects by Marlene Lacey\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/melacey.com\/blog\/edu\/the-art-of-mathematics\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The Art of Mathematics - M. E. Lacey\" \/>\n<meta property=\"og:description\" content=\"Creative writing and art projects by Marlene Lacey\" \/>\n<meta property=\"og:url\" content=\"https:\/\/melacey.com\/blog\/edu\/the-art-of-mathematics\/\" \/>\n<meta property=\"og:site_name\" content=\"M. E. Lacey\" \/>\n<meta property=\"article:published_time\" content=\"2009-02-15T10:48:19+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2019-08-30T01:24:33+00:00\" \/>\n<meta name=\"author\" content=\"mel\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@melacey\" \/>\n<meta name=\"twitter:site\" content=\"@melacey\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"mel\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/melacey.com\\\/blog\\\/edu\\\/the-art-of-mathematics\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/melacey.com\\\/blog\\\/edu\\\/the-art-of-mathematics\\\/\"},\"author\":{\"name\":\"mel\",\"@id\":\"https:\\\/\\\/melacey.com\\\/blog\\\/#\\\/schema\\\/person\\\/70704abfde090ad98cd71df1fbc642bc\"},\"headline\":\"The Art of Mathematics\",\"datePublished\":\"2009-02-15T10:48:19+00:00\",\"dateModified\":\"2019-08-30T01:24:33+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/melacey.com\\\/blog\\\/edu\\\/the-art-of-mathematics\\\/\"},\"wordCount\":440,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/melacey.com\\\/blog\\\/#\\\/schema\\\/person\\\/490e1a841b7a24a8298ed4bc2f4a5ca3\"},\"keywords\":[\"Education\",\"mathematics\",\"Writing\"],\"articleSection\":[\"Education\",\"Writing\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/melacey.com\\\/blog\\\/edu\\\/the-art-of-mathematics\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/melacey.com\\\/blog\\\/edu\\\/the-art-of-mathematics\\\/\",\"url\":\"https:\\\/\\\/melacey.com\\\/blog\\\/edu\\\/the-art-of-mathematics\\\/\",\"name\":\"The Art of Mathematics - M. 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She continues to explore new technical resources as they emerge. She has provided instruction for web authors and her company, Blue Grama Publications has hosted and managed a wide variety of websites integrating the virtual and real worlds as an inter-media publisher. Marlene has designed many templates for digital and print. She photographs, creates handmade paper, sculptures and other artistic pursuits. She has built a library of images and authored, co-authored, published titles and websites. She thinks of herself as a babel fish, communicating tech details to general users and communicating user desires to tech ninjas.\",\"sameAs\":[\"https:\\\/\\\/melacey.com\\\/blog\\\/members\\\/mel\\\/\"],\"url\":\"https:\\\/\\\/melacey.com\\\/blog\\\/author\\\/mel\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"The Art of Mathematics - M. E. 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She continues to explore new technical resources as they emerge. She has provided instruction for web authors and her company, Blue Grama Publications has hosted and managed a wide variety of websites integrating the virtual and real worlds as an inter-media publisher. Marlene has designed many templates for digital and print. She photographs, creates handmade paper, sculptures and other artistic pursuits. She has built a library of images and authored, co-authored, published titles and websites. She thinks of herself as a babel fish, communicating tech details to general users and communicating user desires to tech ninjas.","sameAs":["https:\/\/melacey.com\/blog\/members\/mel\/"],"url":"https:\/\/melacey.com\/blog\/author\/mel\/"}]}},"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/melacey.com\/blog\/wp-json\/wp\/v2\/posts\/238","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/melacey.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/melacey.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/melacey.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/melacey.com\/blog\/wp-json\/wp\/v2\/comments?post=238"}],"version-history":[{"count":5,"href":"https:\/\/melacey.com\/blog\/wp-json\/wp\/v2\/posts\/238\/revisions"}],"predecessor-version":[{"id":11381,"href":"https:\/\/melacey.com\/blog\/wp-json\/wp\/v2\/posts\/238\/revisions\/11381"}],"wp:attachment":[{"href":"https:\/\/melacey.com\/blog\/wp-json\/wp\/v2\/media?parent=238"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/melacey.com\/blog\/wp-json\/wp\/v2\/categories?post=238"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/melacey.com\/blog\/wp-json\/wp\/v2\/tags?post=238"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}