{"id":612,"date":"2021-12-13T10:11:17","date_gmt":"2021-12-13T13:11:17","guid":{"rendered":"https:\/\/www.blogs.unicamp.br\/m3\/?p=612"},"modified":"2021-12-13T10:11:17","modified_gmt":"2021-12-13T13:11:17","slug":"maldita-matematica-mal-posso-ver-seus-movimentos","status":"publish","type":"post","link":"https:\/\/www.blogs.unicamp.br\/m3\/612","title":{"rendered":"Maldita matem\u00e1tica, mal posso ver seus movimentos!"},"content":{"rendered":"\n<p class=\" eplus-wrapper\">Eis que voc\u00ea desiste da matem\u00e1tica, \u00e9 algo complicado e que parece n\u00e3o ter sentido para a vida&#8230; podemos viver bem sem ela. Em vez disso, voc\u00ea decide se dedicar \u00e0 fotografia. \u00c9 divertido, voc\u00ea &#8220;congela&#8221; momentos no tempo e espa\u00e7o, parece m\u00e1gico e inspirador. <\/p>\n\n\n\n<p class=\" eplus-wrapper\">Em meio a essa nova vida voc\u00ea come\u00e7a a estudar um pouco mais sobre fotografias, chega nas origens da fotografia com o conceito de <strong><em>Pinhole<\/em><\/strong>, que \u00e9 uma esp\u00e9cie de caixa com um furinho no qual voc\u00ea consegue queimar uma folha de prata. Super divertido, bem experimental, voc\u00ea constr\u00f3i a caixa seguindo passo a passo sem dificuldades.<\/p>\n\n\n\n<figure class=\" wp-block-image aligncenter size-full is-resized eplus-wrapper\"><img fetchpriority=\"high\" decoding=\"async\" src=\"https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/258\/2021\/12\/2021-12-13-095346_1366x768_scrot.png\" alt=\"\" class=\"wp-image-615\" style=\"width:520px;height:346px\" width=\"520\" height=\"346\" srcset=\"https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-095346_1366x768_scrot.png 789w, https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-095346_1366x768_scrot-300x200.png 300w, https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-095346_1366x768_scrot-768x511.png 768w, https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-095346_1366x768_scrot-500x333.png 500w, https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-095346_1366x768_scrot-272x182.png 272w\" sizes=\"(max-width: 520px) 100vw, 520px\" \/><\/figure>\n\n\n\n<figure class=\" wp-block-image aligncenter size-full is-resized eplus-wrapper\"><img decoding=\"async\" src=\"https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/258\/2021\/12\/2021-12-13-095531_1366x768_scrot.png\" alt=\"\" class=\"wp-image-616\" style=\"width:520px;height:346px\" width=\"520\" height=\"346\" srcset=\"https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-095531_1366x768_scrot.png 789w, https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-095531_1366x768_scrot-300x200.png 300w, https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-095531_1366x768_scrot-768x511.png 768w, https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-095531_1366x768_scrot-500x333.png 500w, https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-095531_1366x768_scrot-272x182.png 272w\" sizes=\"(max-width: 520px) 100vw, 520px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Mas ent\u00e3o algo parece errado&#8230; pois a imagem que voc\u00ea v\u00ea olhando por dentro da caixa, est\u00e1 de ponta-cabe\u00e7a.<\/p>\n\n\n\n<figure class=\" wp-block-image aligncenter size-full eplus-wrapper\"><img decoding=\"async\" width=\"813\" height=\"343\" src=\"https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/258\/2021\/12\/2021-12-13-095848_1366x768_scrot.png\" alt=\"\" class=\"wp-image-618\" srcset=\"https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-095848_1366x768_scrot.png 813w, https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-095848_1366x768_scrot-300x127.png 300w, https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-095848_1366x768_scrot-768x324.png 768w, https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-095848_1366x768_scrot-500x211.png 500w, https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-095848_1366x768_scrot-800x338.png 800w\" sizes=\"(max-width: 813px) 100vw, 813px\" \/><\/figure>\n\n\n\n<figure class=\" wp-block-image aligncenter size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"789\" height=\"528\" src=\"https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/258\/2021\/12\/2021-12-13-095739_1366x768_scrot.png\" alt=\"\" class=\"wp-image-617\" srcset=\"https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-095739_1366x768_scrot.png 789w, https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-095739_1366x768_scrot-300x201.png 300w, https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-095739_1366x768_scrot-768x514.png 768w, https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-095739_1366x768_scrot-500x335.png 500w, https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-095739_1366x768_scrot-272x182.png 272w\" sizes=\"(max-width: 789px) 100vw, 789px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Algo estranho, afinal, se estamos &#8220;apenas olhando&#8221; pela caixa, o que faz com que a imagem apare\u00e7a de ponta-cabe\u00e7a?<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Procurando por explica\u00e7\u00f5es, encontramos um guia bem ilustrado e que discute o papel da dist\u00e2ncia e o foco na hora da imagem ser invertida.<\/p>\n\n\n\n<figure class=\" wp-block-image aligncenter size-full eplus-wrapper\"><a href=\"https:\/\/m3.ime.unicamp.br\/recursos\/999\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"789\" height=\"322\" src=\"https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/258\/2021\/12\/2021-12-13-100135_1366x768_scrot.png\" alt=\"\" class=\"wp-image-619\" srcset=\"https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-100135_1366x768_scrot.png 789w, https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-100135_1366x768_scrot-300x122.png 300w, https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-100135_1366x768_scrot-768x313.png 768w, https:\/\/www.blogs.unicamp.br\/m3\/wp-content\/uploads\/sites\/288\/2021\/12\/2021-12-13-100135_1366x768_scrot-500x204.png 500w\" sizes=\"(max-width: 789px) 100vw, 789px\" \/><\/a><\/figure>\n\n\n\n<p class=\" has-text-align-left eplus-wrapper\">Mas&#8230; voltamos para a Matem\u00e1tica?<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Ent\u00e3o, o conceito base da <strong><em>Pinhole<\/em><\/strong> \u00e9 a <strong><em><a href=\"https:\/\/m3.ime.unicamp.br\/recursos\/999\" target=\"_blank\" rel=\"noreferrer noopener\">C\u00e2mara escura<\/a><\/em><\/strong>, que pode ser tratada como um experimento matem\u00e1tico. Considerando rela\u00e7\u00f5es entre a dist\u00e2ncia do objeto e seu tamanho com a proporcionalidade direta e inversa.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Enfim, a Matem\u00e1tica est\u00e1 ai, de forma silenciosa e sorrateira (como um ninja). <\/p>\n\n\n\n<p class=\" eplus-wrapper\">Esse material e outros recursos que podem auxiliar a compreens\u00e3o e o uso do experimento em sala de aula est\u00e3o dispon\u00edveis no reposit\u00f3rio <a href=\"https:\/\/m3.ime.unicamp.br\" target=\"_blank\" rel=\"noreferrer noopener\">Matem\u00e1tica Multim\u00eddia<\/a> pelo seguinte link:<\/p>\n\n\n\n<p class=\" has-text-align-center eplus-wrapper\"><a href=\"https:\/\/m3.ime.unicamp.br\/recursos\/999\">https:\/\/m3.ime.unicamp.br\/recursos\/999<\/a><\/p>\n\n\n\n<p class=\" eplus-wrapper\">N\u00e3o sei se a piada do t\u00edtulo do post ficou clara&#8230; mas a ideia \u00e9 que &#8220;voc\u00ea n\u00e3o consegue ver os movimentos da Matem\u00e1tica&#8221;, tanto na presen\u00e7a dela com a <em><strong>Pinhole<\/strong><\/em> como na a\u00e7\u00e3o de inverter a imagem sem que entendamos exatamente quando\/como\/porque isso ocorreu.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Se tiver alguma d\u00favida, cr\u00edtica ou sugest\u00e3o, escreve ai nos coment\u00e1rios!<\/p>\n\n\n\n<p class=\" has-text-align-center eplus-wrapper\"><strong>Autor: <a href=\"https:\/\/www.blogs.unicamp.br\/m3\/category\/autor-zero\/\" target=\"_blank\" rel=\"noreferrer noopener\">Zero<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Vou estudar fotografia porque detesto matem\u00e1tica! Ho ho, parece que n\u00e3o se ver\u00e1 livre da matem\u00e1tica.<\/p>\n","protected":false},"author":434,"featured_media":613,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"colormag_page_container_layout":"default_layout","colormag_page_sidebar_layout":"default_layout","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"pgc_sgb_lightbox_settings":"","_vp_format_video_url":"","_vp_image_focal_point":[],"footnotes":""},"categories":[20,58,62,71,73,75,84,146,147,152],"tags":[199,240,250,252,254,262,323,324,329],"class_list":["post-612","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-autor-zero","category-experimento","category-fotografia","category-funcoes-afim","category-funcoes-do-1o-grau","category-funcoes-lineares","category-graficos-e-funcoes","category-proporcionalidade-direta","category-proporcionalidade-inversa","category-razao-e-proporcao","tag-autor-zero","tag-fotografia","tag-funcoes-afim","tag-funcoes-do-1o-grau","tag-funcoes-lineares","tag-graficos-e-funcoes","tag-proporcionalidade-direta","tag-proporcionalidade-inversa","tag-razao-e-proporcao"],"_links":{"self":[{"href":"https:\/\/www.blogs.unicamp.br\/m3\/wp-json\/wp\/v2\/posts\/612","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.blogs.unicamp.br\/m3\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.blogs.unicamp.br\/m3\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.blogs.unicamp.br\/m3\/wp-json\/wp\/v2\/users\/434"}],"replies":[{"embeddable":true,"href":"https:\/\/www.blogs.unicamp.br\/m3\/wp-json\/wp\/v2\/comments?post=612"}],"version-history":[{"count":0,"href":"https:\/\/www.blogs.unicamp.br\/m3\/wp-json\/wp\/v2\/posts\/612\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.blogs.unicamp.br\/m3\/wp-json\/wp\/v2\/media\/613"}],"wp:attachment":[{"href":"https:\/\/www.blogs.unicamp.br\/m3\/wp-json\/wp\/v2\/media?parent=612"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.blogs.unicamp.br\/m3\/wp-json\/wp\/v2\/categories?post=612"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.blogs.unicamp.br\/m3\/wp-json\/wp\/v2\/tags?post=612"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}