{"id":15120,"date":"2018-10-12T01:48:38","date_gmt":"2018-10-12T00:48:38","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=15120"},"modified":"2021-11-09T01:04:16","modified_gmt":"2021-11-09T01:04:16","slug":"project-mathematics","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=15120","title":{"rendered":"<em>Project MATHEMATICS!<\/em>"},"content":{"rendered":"<p><em><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/10\/projectmathematics_Logo.gif\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"15128\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=15128\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/10\/projectmathematics_Logo.gif\" data-orig-size=\"245,179\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Project MATHEMATICS!\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/10\/projectmathematics_Logo.gif\" class=\"alignright size-full wp-image-15128\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/10\/projectmathematics_Logo.gif\" alt=\"\" width=\"245\" height=\"179\" \/><\/a>Project MATHEMATICS!<\/em> consiste num conjunto de v\u00eddeos educativos e livros de acompanhamento para professores que exploram t\u00f3picos b\u00e1sicos da matem\u00e1tica do ensino secund\u00e1rio de maneiras que n\u00e3o podem ser feitas no quadro-negro ou num livro-texto. Os v\u00eddeos usam a\u00e7\u00e3o ao vivo, m\u00fasica, efeitos especiais e anima\u00e7\u00f5es imaginativas. Estes v\u00eddeos foram distribu\u00eddos sem fins lucrativos.<\/p>\n<p>Foi objetivo do projeto atrair jovens para a matem\u00e1tica atrav\u00e9s de m\u00f3dulos educativos de alta qualidade que mostram que a matem\u00e1tica \u00e9 compreens\u00edvel, excitante e eminentemente valiosa. Cada m\u00f3dulo consiste num v\u00eddeo, juntamente com um caderno de acompanhamento, e explora um t\u00f3pico b\u00e1sico em matem\u00e1tica que pode ser facilmente integrado em qualquer curr\u00edculo do ensino secund\u00e1rio. Os m\u00f3dulos est\u00e3o criados no sentido de incentivar a intera\u00e7\u00e3o entre alunos e professores.<\/p>\n<p>A s\u00e9rie foi desenvolvida por <a href=\"http:\/\/www.caltech.edu\/news\/tom-m-apostol-1923-2016-50698\" target=\"_blank\" rel=\"noopener\">Tom M. Apostol<\/a> e <a href=\"https:\/\/en.wikipedia.org\/wiki\/Jim_Blinn\" target=\"_blank\" rel=\"noopener\">James F. Blinn<\/a>, ambos do <a href=\"http:\/\/www.caltech.edu\/\" target=\"_blank\" rel=\"noopener\">Instituto de Tecnologia da Calif\u00f3rnia<\/a>, em Pasadena, CA. Apostol liderou a produ\u00e7\u00e3o da s\u00e9rie, enquanto Blinn forneceu a anima\u00e7\u00e3o por computador usada para descrever as ideias discutidas. Blinn mencionou que parte de sua inspira\u00e7\u00e3o foi a <a href=\"https:\/\/en.wikipedia.org\/wiki\/The_Bell_System_Science_Series\" target=\"_blank\" rel=\"noopener\">s\u00e9rie de filmes cient\u00edficos da Bell<\/a> dos anos 50.<\/p>\n<p>Vencedores de v\u00e1rios pr\u00e9mios internacionais, <em>The Theorem of Pythagoras<\/em>, <em>The Story of Pi<\/em>, <em>Similarity<\/em>, <em>Polynomials<\/em>, <em>The Tunnel of Samos<\/em>, <em>Sines and Cosines <\/em>(Part I, II and III) e <em>Early History of Mathematics<\/em> est\u00e3o tamb\u00e9m dispon\u00edveis em portugu\u00eas numa vers\u00e3o da responsabilidade cient\u00edfica do <a href=\"http:\/\/cmaf.fc.ul.pt\/\" target=\"_blank\" rel=\"noopener\">Centro de Matem\u00e1tica e Aplica\u00e7\u00f5es Fundamentais da Universidade de Lisboa<\/a>. Estas vers\u00f5es portuguesas, <em>O Teorema de Pit\u00e1goras<\/em>, <em>A Hist\u00f3ria do Pi<\/em>, <em>Semelhan\u00e7as<\/em> e <em>Polin\u00f3mios<\/em>, <em>O T\u00fanel de Samos<\/em>, <em>Senos e Cosenos<\/em> (Partes I, II e III) e <em>Os Prim\u00f3rdios da Hist\u00f3ria da Matem\u00e1tica<\/em> s\u00e3o uma excelente ajuda audiovisual que complementada com os cadernos de trabalho representa um instrumento util\u00edssimo para a did\u00e1tica da matem\u00e1tica.<\/p>\n<p>Em 2017, toda a s\u00e9rie de v\u00eddeos foi disponibilizada no <a href=\"https:\/\/www.youtube.com\/playlist?list=PL8_xPU5epJdchhIkbjCPJM7m2anGUq9JT\" target=\"_blank\" rel=\"noopener\">YouTube<\/a>.<\/p>\n<ul style=\"list-style-type: disc;\">\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Project_Mathematics!\" target=\"_blank\" rel=\"noopener\">Wikipedia &#8211;\u00a0Project Mathematics!<\/a><\/li>\n<li><a href=\"https:\/\/drive.google.com\/file\/d\/1o3kfr5LWbQmQBpZHQBksOTiMHyjXS-ZX\/view?usp=sharing\" target=\"_blank\" rel=\"noopener\">Project Mathematics!<\/a><\/li>\n<li><a href=\"http:\/\/wwmat.mat.fc.ul.pt\/em_accao\/videos\/#pmatematica\" target=\"_blank\" rel=\"noopener\">CMAFUL &#8211; V\u00eddeos matem\u00e1tica em a\u00e7\u00e3o<\/a><\/li>\n<li>Apostol, Tom M. (2004) <a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/10\/TheTunnelOfSamos.pdf\" target=\"_blank\" rel=\"noopener\">The Tunnel of Samos<\/a>. <a href=\"http:\/\/resolver.caltech.edu\/CaltechES:67.1.Samos\" target=\"_blank\" rel=\"noopener\">Engineering and Science, 67 (1). pp. 30-40<\/a><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><div class=\"video-container\"><span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/vpxWyJg4_1A?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=pt-PT&#038;autohide=2&#038;wmode=transparent&#038;listType=playlist&#038;list=PL8_xPU5epJdchhIkbjCPJM7m2anGUq9JT\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox\"><\/iframe><\/span><\/div>\n<\/p>\n<p>&nbsp;<\/p>\n<style>\nh3.hungryfeed_feed_title {}\r\np.hungryfeed_feed_description {}\r\ndiv.hungryfeed_items {}\r\ndiv.hungryfeed_item {margin-bottom: 10px;}\r\ndiv.hungryfeed_item_title {font-weight: bold;}\r\ndiv.hungryfeed_item_description {}\r\ndiv.hungryfeed_item_author {}\r\ndiv.hungryfeed_item_date {}\n<\/style>\n<script >\r\n<\/script>\n<h3 class=\"hungryfeed_feed_title\">Project MATHEMATICS!<\/h3>\n<p class=\"hungryfeed_feed_description\"><\/p>\n<div class=\"hungryfeed_items\">\n<div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=vpxWyJg4_1A\">Episode 1: Similarity - Project MATHEMATICS!<\/a><\/h5>\r\n<div>Episode 1. Similarity: Scaling multiplies lengths by the same factor and produces a similar figure. It preserves angles and ratios of lengths of corresponding line segments. Animation shows what happens to perimeters, areas, and volumes under scaling, with various applications from real life.\n\nA Program Guide and Workbook is available for each episode, except episodes 6 and 9, and is available in PDF and TIFF formats for download: https:\/\/caltech.box.com\/s\/magxt15ygyrz40u32dse5sqry011gpt5\n\n\u00a91990 California Institute of Technology<\/div>\r\n<div>Autor: caltech<\/div>\r\n<div>Publicado: 03-03-2017<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=B7NJiNkXoXo\">Episode 2: The Story Of Pi - Project MATHEMATICS!<\/a><\/h5>\r\n<div>Episode 2. The Story of Pi: Although pi is the ratio of circumference to diameter of a circle, it appears in many formulas that have nothing to do with circles. Animated sequences dissect a circular disk and transform it to a rectangle with the same area as the disk. Animation shows how Archimedes estimated pi using perimeters of approximating polygons.\n\nA Program Guide and Workbook is available for each episode, except episodes 6 and 9, and is available in PDF and TIFF formats for download: https:\/\/caltech.box.com\/s\/magxt15ygyrz40u32dse5sqry011gpt5\n\n\u00a91989 California Institute of Technology<\/div>\r\n<div>Autor: caltech<\/div>\r\n<div>Publicado: 03-03-2017<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=eWNBw5GpqeY\">Episode 3: The Theorem Of Pythagoras - Project MATHEMATICS!<\/a><\/h5>\r\n<div>Episode 3. The Theorem of Pythagoras: Several engaging animated proofs of the Pythagorean theorem are presented, with applications to real-life problems and to Pythagorean triples. The theorem is extended to 3-space, but does not hold for spherical triangles.\n\nA Program Guide and Workbook is available for each episode, except episodes 6 and 9, and is available in PDF and TIFF formats for download: https:\/\/caltech.box.com\/s\/magxt15ygyrz40u32dse5sqry011gpt5\n\n\u00a91988 California Institute of Technology<\/div>\r\n<div>Autor: caltech<\/div>\r\n<div>Publicado: 03-03-2017<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=9wh7xYMXKJ8\">Episode 4: Sines And Cosines Part I - Project MATHEMATICS!<\/a><\/h5>\r\n<div>Episode 4. Sines and Cosines, Part I: (Waves) Sines and cosines occur as rectangular coordinates of a point moving on a unit circle, as graphs related to vibrating motion, and as ratios of sides of right triangles. They are related by reflection or translation of their graphs. Animation demonstrates the Gibbs phenomenon of Fourier series.\n\nA Program Guide and Workbook is available for each episode, except episodes 6 and 9, and is available in PDF and TIFF formats for download: https:\/\/caltech.box.com\/s\/magxt15ygyrz40u32dse5sqry011gpt5\n\n\u00a91992 California Institute of Technology<\/div>\r\n<div>Autor: caltech<\/div>\r\n<div>Publicado: 03-03-2017<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=nBwnUYMmTvE\">Episode 5: Sines And Cosines Part II - Project MATHEMATICS!<\/a><\/h5>\r\n<div>Episode 5. Sines and Cosines, Part II: (Trigonometry) This video focuses on trigonometry, with special emphasis on the law of conies and the law of sines, together with applications to The Great Survey of India. The history of surveying instruments is outlined, from Hero\u2019s dioptra to modern orbiting satellites.\n\nA Program Guide and Workbook is available for each episode, except episodes 6 and 9, and is available in PDF and TIFF formats for download: https:\/\/caltech.box.com\/s\/magxt15ygyrz40u32dse5sqry011gpt5\n\n\u00a91993 California Institute of Technology<\/div>\r\n<div>Autor: caltech<\/div>\r\n<div>Publicado: 03-03-2017<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=0NMj246ideQ\">Episode 6: Sines And Cosines Part III - Project MATHEMATICS!<\/a><\/h5>\r\n<div>Episode 6. Sines and Cosines, Part III: (Addition formulas) Animation relates the sine and cosine of an angle with chord lengths of a circle, as explained in Ptolemy\u2019s Almagest. This leads to elegant derivations of addition formulas, with applications to simple harmonic motion.\n\nA Program Guide and Workbook is available for each episode, except episodes 6 and 9, and is available in PDF and TIFF formats for download: https:\/\/caltech.box.com\/s\/magxt15ygyrz40u32dse5sqry011gpt5\n\n\u00a91994 California Institute of Technology<\/div>\r\n<div>Autor: caltech<\/div>\r\n<div>Publicado: 03-03-2017<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=Irm7EA4Z5Ps\">Episode 7: Polynomials - Project MATHEMATICS!<\/a><\/h5>\r\n<div>Episode 7. Polynomials: Animation shows how the Cartesian equation changes if the graph of a polynomial is translated or subjected to a vertical change of scale. Zeros, local extrema, and points of inflection are discussed. Real-life examples include parabolic trajectories and the use of cubic splines in designing sailboats and computer-generated teapots.\n\nA Program Guide and Workbook is available for each episode, except episodes 6 and 9, and is available in PDF and TIFF formats for download: https:\/\/caltech.box.com\/s\/magxt15ygyrz40u32dse5sqry011gpt5\n\n\u00a91991 California Institute of Technology<\/div>\r\n<div>Autor: caltech<\/div>\r\n<div>Publicado: 03-03-2017<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=Df7JZqO3kus\">Episode 8: The Tunnel of Samos - Project MATHEMATICS!<\/a><\/h5>\r\n<div>Episode 8. The Tunnel of Samos: This video describes a remarkable engineering work of ancient times: excavating a one-kilometer tunnel straight through the heart of a mountain, using separate crews that dug from the two ends and met in the middle. How did they determine the direction for excavation? The program gives Hero's explanation (ca. 60 A.D.), using similar triangles, as well as alternative methods proposed in modern times.\n\nA Program Guide and Workbook is available for each episode, except episodes 6 and 9, and is available in PDF and TIFF formats for download: https:\/\/caltech.box.com\/s\/magxt15ygyrz40u32dse5sqry011gpt5\n\n\u00a91995 California Institute of Technology<\/div>\r\n<div>Autor: caltech<\/div>\r\n<div>Publicado: 03-03-2017<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=r-mqf4KwviI\">Episode 9: Early History - Project MATHEMATICS!<\/a><\/h5>\r\n<div>Episode 9. Early History of Mathematics: This video traces some of the landmark developments in the early history of mathematics, from Babylonian calendars on clay tablets produced 5000 years ago, to the introduction of calculus in the seventeenth century.\n\nA Program Guide and Workbook is available for each episode, except episodes 6 and 9, and is available in PDF and TIFF formats for download: https:\/\/caltech.box.com\/s\/magxt15ygyrz40u32dse5sqry011gpt5\n\n\u00a92000 California Institute of Technology<\/div>\r\n<div>Autor: caltech<\/div>\r\n<div>Publicado: 03-03-2017<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=PslowEd4-68\">Trailer 1: Siggraph 1988 - Project MATHEMATICS!<\/a><\/h5>\r\n<div>A short demonstration video of the computer animations for \"Project MATHEMATICS!\" produced by Jim Blinn for the 1988 Special Interest Group on Graphics (Siggraph) of the Association for Computing Machinery\u00a0conference. Visit http:\/\/JimBlinn.com for more details.<\/div>\r\n<div>Autor: caltech<\/div>\r\n<div>Publicado: 03-03-2017<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=kRHAMHAdTYU\">Trailer 2: Siggraph 1990 - Project MATHEMATICS!<\/a><\/h5>\r\n<div>A short demonstration video of the computer animations for \"Project MATHEMATICS!\" produced by Jim Blinn for the 1990 Special Interest Group on Graphics (Siggraph) of the Association for Computing Machinery\u00a0conference. Visit http:\/\/JimBlinn.com for more details.<\/div>\r\n<div>Autor: caltech<\/div>\r\n<div>Publicado: 03-03-2017<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=iO0t1IPk8KA\">Trailer 3: Siggraph 1993 - Project MATHEMATICS!<\/a><\/h5>\r\n<div>A short demonstration video of the computer animations for \"Project MATHEMATICS!\" produced by Jim Blinn for the 1993 Special Interest Group on Graphics (Siggraph) of the Association for Computing Machinery\u00a0conference. Visit http:\/\/JimBlinn.com for more details.<\/div>\r\n<div>Autor: caltech<\/div>\r\n<div>Publicado: 03-03-2017<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=nIQZScM_-74\">Teachers Workshop - Project MATHEMATICS!<\/a><\/h5>\r\n<div>\u00a91991 California Institute of Technology<\/div>\r\n<div>Autor: caltech<\/div>\r\n<div>Publicado: 08-03-2019<\/div>\r\n<\/div><div class=\"hungryfeed_item\">\r\n<h5><a href=\"https:\/\/www.youtube.com\/watch?v=SSkGI-YrzUU\">Contest - Project MATHEMATICS!<\/a><\/h5>\r\n<div>\u00a91995 California Institute of Technology<\/div>\r\n<div>Autor: caltech<\/div>\r\n<div>Publicado: 08-03-2019<\/div>\r\n<\/div><\/div>\n\n<p>&nbsp;<\/p>\n<div class=\"epyt-gallery\" data-currpage=\"1\" id=\"epyt_gallery_37325\"><figure class=\"wp-block-embed wp-block-embed-youtube is-type-video is-provider-youtube epyt-figure\"><div class=\"wp-block-embed__wrapper\"><div class=\"epyt-video-wrapper\"><iframe loading=\"lazy\"  id=\"_ytid_96343\"  width=\"480\" height=\"270\"  data-origwidth=\"480\" data-origheight=\"270\" src=\"https:\/\/www.youtube.com\/embed\/vpxWyJg4_1A?enablejsapi=1&origin=https:\/\/www.acasinhadamatematica.pt&autoplay=0&cc_load_policy=0&cc_lang_pref=&iv_load_policy=1&loop=0&rel=1&fs=1&playsinline=0&autohide=2&hl=pt_PT&theme=dark&color=red&controls=1&disablekb=0&\" class=\"__youtube_prefs__  no-lazyload\" title=\"YouTube player\"  data-epytgalleryid=\"epyt_gallery_37325\"  allow=\"fullscreen; accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\"><\/iframe><\/div><\/div><\/figure><div class=\"epyt-gallery-list\"><div class=\"epyt-pagination \"><div tabindex=\"0\" role=\"button\" class=\"epyt-pagebutton epyt-prev  hide \" data-playlistid=\"PL8_xPU5epJdchhIkbjCPJM7m2anGUq9JT\" data-pagesize=\"16\" data-pagetoken=\"\" data-epcolumns=\"4\" data-showtitle=\"1\" data-showpaging=\"1\" data-autonext=\"0\" data-thumbplay=\"1\"><div class=\"epyt-arrow\">&laquo;<\/div> <div>Prev<\/div><\/div><div class=\"epyt-pagenumbers hide\"><div class=\"epyt-current\">1<\/div><div class=\"epyt-pageseparator\"> \/ <\/div><div class=\"epyt-totalpages\">1<\/div><\/div><div tabindex=\"0\" role=\"button\" class=\"epyt-pagebutton epyt-next hide \" data-playlistid=\"PL8_xPU5epJdchhIkbjCPJM7m2anGUq9JT\" data-pagesize=\"16\" data-pagetoken=\"\" data-epcolumns=\"4\" data-showtitle=\"1\" data-showpaging=\"1\" data-autonext=\"0\" data-thumbplay=\"1\"><div>Next<\/div> <div class=\"epyt-arrow\">&raquo;<\/div><\/div><div class=\"epyt-loader\"><img loading=\"lazy\" decoding=\"async\" alt=\"loading\" width=\"16\" height=\"11\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/plugins\/youtube-embed-plus\/images\/gallery-page-loader.gif\"><\/div><\/div><div class=\"epyt-gallery-allthumbs  epyt-cols-4 \"><div tabindex=\"0\" role=\"button\" data-videoid=\"vpxWyJg4_1A\" class=\"epyt-gallery-thumb\"><div class=\"epyt-gallery-img-box\"><div class=\"epyt-gallery-img\" style=\"background-image: url(https:\/\/i.ytimg.com\/vi\/vpxWyJg4_1A\/hqdefault.jpg)\"><div class=\"epyt-gallery-playhover\"><img loading=\"lazy\" decoding=\"async\" alt=\"play\" class=\"epyt-play-img\" width=\"30\" height=\"23\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/plugins\/youtube-embed-plus\/images\/playhover.png\" data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\" \/><div class=\"epyt-gallery-playcrutch\"><\/div><\/div><\/div><\/div><div class=\"epyt-gallery-title\">Episode 1: Similarity - Project MATHEMATICS!<\/div><\/div><div tabindex=\"0\" role=\"button\" data-videoid=\"B7NJiNkXoXo\" class=\"epyt-gallery-thumb\"><div class=\"epyt-gallery-img-box\"><div class=\"epyt-gallery-img\" style=\"background-image: url(https:\/\/i.ytimg.com\/vi\/B7NJiNkXoXo\/hqdefault.jpg)\"><div class=\"epyt-gallery-playhover\"><img loading=\"lazy\" decoding=\"async\" alt=\"play\" class=\"epyt-play-img\" width=\"30\" height=\"23\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/plugins\/youtube-embed-plus\/images\/playhover.png\" data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\" \/><div class=\"epyt-gallery-playcrutch\"><\/div><\/div><\/div><\/div><div class=\"epyt-gallery-title\">Episode 2: The Story Of Pi - Project MATHEMATICS!<\/div><\/div><div tabindex=\"0\" role=\"button\" data-videoid=\"eWNBw5GpqeY\" class=\"epyt-gallery-thumb\"><div class=\"epyt-gallery-img-box\"><div class=\"epyt-gallery-img\" style=\"background-image: url(https:\/\/i.ytimg.com\/vi\/eWNBw5GpqeY\/hqdefault.jpg)\"><div class=\"epyt-gallery-playhover\"><img loading=\"lazy\" decoding=\"async\" alt=\"play\" class=\"epyt-play-img\" width=\"30\" height=\"23\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/plugins\/youtube-embed-plus\/images\/playhover.png\" data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\" \/><div class=\"epyt-gallery-playcrutch\"><\/div><\/div><\/div><\/div><div class=\"epyt-gallery-title\">Episode 3: The Theorem Of Pythagoras - Project MATHEMATICS!<\/div><\/div><div tabindex=\"0\" role=\"button\" data-videoid=\"9wh7xYMXKJ8\" class=\"epyt-gallery-thumb\"><div class=\"epyt-gallery-img-box\"><div class=\"epyt-gallery-img\" style=\"background-image: url(https:\/\/i.ytimg.com\/vi\/9wh7xYMXKJ8\/hqdefault.jpg)\"><div class=\"epyt-gallery-playhover\"><img loading=\"lazy\" decoding=\"async\" alt=\"play\" class=\"epyt-play-img\" width=\"30\" height=\"23\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/plugins\/youtube-embed-plus\/images\/playhover.png\" data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\" \/><div class=\"epyt-gallery-playcrutch\"><\/div><\/div><\/div><\/div><div class=\"epyt-gallery-title\">Episode 4: Sines And Cosines Part I - Project MATHEMATICS!<\/div><\/div><div class=\"epyt-gallery-rowbreak\"><\/div><div tabindex=\"0\" role=\"button\" data-videoid=\"nBwnUYMmTvE\" class=\"epyt-gallery-thumb\"><div class=\"epyt-gallery-img-box\"><div class=\"epyt-gallery-img\" style=\"background-image: url(https:\/\/i.ytimg.com\/vi\/nBwnUYMmTvE\/hqdefault.jpg)\"><div class=\"epyt-gallery-playhover\"><img loading=\"lazy\" decoding=\"async\" alt=\"play\" class=\"epyt-play-img\" width=\"30\" height=\"23\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/plugins\/youtube-embed-plus\/images\/playhover.png\" data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\" \/><div class=\"epyt-gallery-playcrutch\"><\/div><\/div><\/div><\/div><div class=\"epyt-gallery-title\">Episode 5: Sines And Cosines Part II - Project MATHEMATICS!<\/div><\/div><div tabindex=\"0\" role=\"button\" data-videoid=\"0NMj246ideQ\" class=\"epyt-gallery-thumb\"><div class=\"epyt-gallery-img-box\"><div class=\"epyt-gallery-img\" style=\"background-image: url(https:\/\/i.ytimg.com\/vi\/0NMj246ideQ\/hqdefault.jpg)\"><div class=\"epyt-gallery-playhover\"><img loading=\"lazy\" decoding=\"async\" alt=\"play\" class=\"epyt-play-img\" width=\"30\" height=\"23\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/plugins\/youtube-embed-plus\/images\/playhover.png\" data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\" \/><div class=\"epyt-gallery-playcrutch\"><\/div><\/div><\/div><\/div><div class=\"epyt-gallery-title\">Episode 6: Sines And Cosines Part III - Project MATHEMATICS!<\/div><\/div><div tabindex=\"0\" role=\"button\" data-videoid=\"Irm7EA4Z5Ps\" class=\"epyt-gallery-thumb\"><div class=\"epyt-gallery-img-box\"><div class=\"epyt-gallery-img\" style=\"background-image: url(https:\/\/i.ytimg.com\/vi\/Irm7EA4Z5Ps\/hqdefault.jpg)\"><div class=\"epyt-gallery-playhover\"><img loading=\"lazy\" decoding=\"async\" alt=\"play\" class=\"epyt-play-img\" width=\"30\" height=\"23\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/plugins\/youtube-embed-plus\/images\/playhover.png\" data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\" \/><div class=\"epyt-gallery-playcrutch\"><\/div><\/div><\/div><\/div><div class=\"epyt-gallery-title\">Episode 7: Polynomials - Project MATHEMATICS!<\/div><\/div><div tabindex=\"0\" role=\"button\" data-videoid=\"Df7JZqO3kus\" class=\"epyt-gallery-thumb\"><div class=\"epyt-gallery-img-box\"><div class=\"epyt-gallery-img\" style=\"background-image: url(https:\/\/i.ytimg.com\/vi\/Df7JZqO3kus\/hqdefault.jpg)\"><div class=\"epyt-gallery-playhover\"><img loading=\"lazy\" decoding=\"async\" alt=\"play\" class=\"epyt-play-img\" width=\"30\" height=\"23\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/plugins\/youtube-embed-plus\/images\/playhover.png\" data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\" \/><div class=\"epyt-gallery-playcrutch\"><\/div><\/div><\/div><\/div><div class=\"epyt-gallery-title\">Episode 8: The Tunnel of Samos - Project MATHEMATICS!<\/div><\/div><div class=\"epyt-gallery-rowbreak\"><\/div><div tabindex=\"0\" role=\"button\" data-videoid=\"r-mqf4KwviI\" class=\"epyt-gallery-thumb\"><div class=\"epyt-gallery-img-box\"><div class=\"epyt-gallery-img\" style=\"background-image: url(https:\/\/i.ytimg.com\/vi\/r-mqf4KwviI\/hqdefault.jpg)\"><div class=\"epyt-gallery-playhover\"><img loading=\"lazy\" decoding=\"async\" alt=\"play\" class=\"epyt-play-img\" width=\"30\" height=\"23\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/plugins\/youtube-embed-plus\/images\/playhover.png\" data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\" \/><div class=\"epyt-gallery-playcrutch\"><\/div><\/div><\/div><\/div><div class=\"epyt-gallery-title\">Episode 9: Early History - Project MATHEMATICS!<\/div><\/div><div tabindex=\"0\" role=\"button\" data-videoid=\"PslowEd4-68\" class=\"epyt-gallery-thumb\"><div class=\"epyt-gallery-img-box\"><div class=\"epyt-gallery-img\" style=\"background-image: url(https:\/\/i.ytimg.com\/vi\/PslowEd4-68\/hqdefault.jpg)\"><div class=\"epyt-gallery-playhover\"><img loading=\"lazy\" decoding=\"async\" alt=\"play\" class=\"epyt-play-img\" width=\"30\" height=\"23\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/plugins\/youtube-embed-plus\/images\/playhover.png\" data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\" \/><div class=\"epyt-gallery-playcrutch\"><\/div><\/div><\/div><\/div><div class=\"epyt-gallery-title\">Trailer 1: Siggraph 1988 - Project MATHEMATICS!<\/div><\/div><div tabindex=\"0\" role=\"button\" data-videoid=\"kRHAMHAdTYU\" class=\"epyt-gallery-thumb\"><div class=\"epyt-gallery-img-box\"><div class=\"epyt-gallery-img\" style=\"background-image: url(https:\/\/i.ytimg.com\/vi\/kRHAMHAdTYU\/hqdefault.jpg)\"><div class=\"epyt-gallery-playhover\"><img loading=\"lazy\" decoding=\"async\" alt=\"play\" class=\"epyt-play-img\" width=\"30\" height=\"23\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/plugins\/youtube-embed-plus\/images\/playhover.png\" data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\" \/><div class=\"epyt-gallery-playcrutch\"><\/div><\/div><\/div><\/div><div class=\"epyt-gallery-title\">Trailer 2: Siggraph 1990 - Project MATHEMATICS!<\/div><\/div><div tabindex=\"0\" role=\"button\" data-videoid=\"iO0t1IPk8KA\" class=\"epyt-gallery-thumb\"><div class=\"epyt-gallery-img-box\"><div class=\"epyt-gallery-img\" style=\"background-image: url(https:\/\/i.ytimg.com\/vi\/iO0t1IPk8KA\/hqdefault.jpg)\"><div class=\"epyt-gallery-playhover\"><img loading=\"lazy\" decoding=\"async\" alt=\"play\" class=\"epyt-play-img\" width=\"30\" height=\"23\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/plugins\/youtube-embed-plus\/images\/playhover.png\" data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\" \/><div class=\"epyt-gallery-playcrutch\"><\/div><\/div><\/div><\/div><div class=\"epyt-gallery-title\">Trailer 3: Siggraph 1993 - Project MATHEMATICS!<\/div><\/div><div class=\"epyt-gallery-rowbreak\"><\/div><div tabindex=\"0\" role=\"button\" data-videoid=\"nIQZScM_-74\" class=\"epyt-gallery-thumb\"><div class=\"epyt-gallery-img-box\"><div class=\"epyt-gallery-img\" style=\"background-image: url(https:\/\/i.ytimg.com\/vi\/nIQZScM_-74\/hqdefault.jpg)\"><div class=\"epyt-gallery-playhover\"><img loading=\"lazy\" decoding=\"async\" alt=\"play\" class=\"epyt-play-img\" width=\"30\" height=\"23\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/plugins\/youtube-embed-plus\/images\/playhover.png\" data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\" \/><div class=\"epyt-gallery-playcrutch\"><\/div><\/div><\/div><\/div><div class=\"epyt-gallery-title\">Teachers Workshop - Project MATHEMATICS!<\/div><\/div><div tabindex=\"0\" role=\"button\" data-videoid=\"SSkGI-YrzUU\" class=\"epyt-gallery-thumb\"><div class=\"epyt-gallery-img-box\"><div class=\"epyt-gallery-img\" style=\"background-image: url(https:\/\/i.ytimg.com\/vi\/SSkGI-YrzUU\/hqdefault.jpg)\"><div class=\"epyt-gallery-playhover\"><img loading=\"lazy\" decoding=\"async\" alt=\"play\" class=\"epyt-play-img\" width=\"30\" height=\"23\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/plugins\/youtube-embed-plus\/images\/playhover.png\" data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\" \/><div class=\"epyt-gallery-playcrutch\"><\/div><\/div><\/div><\/div><div class=\"epyt-gallery-title\">Contest - Project MATHEMATICS!<\/div><\/div><div class=\"epyt-gallery-clear\"><\/div><\/div><div class=\"epyt-pagination \"><div tabindex=\"0\" role=\"button\" class=\"epyt-pagebutton epyt-prev  hide \" data-playlistid=\"PL8_xPU5epJdchhIkbjCPJM7m2anGUq9JT\" data-pagesize=\"16\" data-pagetoken=\"\" data-epcolumns=\"4\" data-showtitle=\"1\" data-showpaging=\"1\" data-autonext=\"0\" data-thumbplay=\"1\"><div class=\"epyt-arrow\">&laquo;<\/div> <div>Prev<\/div><\/div><div class=\"epyt-pagenumbers hide\"><div class=\"epyt-current\">1<\/div><div class=\"epyt-pageseparator\"> \/ <\/div><div class=\"epyt-totalpages\">1<\/div><\/div><div tabindex=\"0\" role=\"button\" class=\"epyt-pagebutton epyt-next hide \" data-playlistid=\"PL8_xPU5epJdchhIkbjCPJM7m2anGUq9JT\" data-pagesize=\"16\" data-pagetoken=\"\" data-epcolumns=\"4\" data-showtitle=\"1\" data-showpaging=\"1\" data-autonext=\"0\" data-thumbplay=\"1\"><div>Next<\/div> <div class=\"epyt-arrow\">&raquo;<\/div><\/div><div class=\"epyt-loader\"><img loading=\"lazy\" decoding=\"async\" alt=\"loading\" width=\"16\" height=\"11\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/plugins\/youtube-embed-plus\/images\/gallery-page-loader.gif\"><\/div><\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Project MATHEMATICS! consiste num conjunto de v\u00eddeos educativos e livros de acompanhamento para professores que exploram t\u00f3picos b\u00e1sicos da matem\u00e1tica do ensino secund\u00e1rio de maneiras que n\u00e3o podem ser feitas no quadro-negro ou num&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":15129,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[4,5,3,7],"tags":[80,525,200],"series":[],"class_list":["post-15120","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ciencia-e-tecnologia","category-divulgacao","category-matematica","category-video","tag-matematica-2","tag-tom-m-apostol","tag-video-2"],"views":2491,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/10\/projectmathematics_Logo_a.gif","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/15120","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=15120"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/15120\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/15129"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=15120"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=15120"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=15120"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=15120"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}