{"id":36577,"date":"2019-10-31T22:12:27","date_gmt":"2019-10-31T19:12:27","guid":{"rendered":"https:\/\/prohoster.info\/blog\/vot-zachem-nuzhna-shkolnaya-algebra\/"},"modified":"2019-10-31T22:12:27","modified_gmt":"2019-10-31T19:12:27","slug":"vot-zachem-nuzhna-shkolnaya-algebra","status":"publish","type":"post","link":"https:\/\/prohoster.info\/pt\/blog\/news\/vot-zachem-nuzhna-shkolnaya-algebra","title":{"rendered":"Para que serve a \u00e1lgebra escolar","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p>Normalmente, a resposta \u00e0 pergunta \"por que a matem\u00e1tica \u00e9 necess\u00e1ria?\" \u00e9 algo como \"gin\u00e1stica para a mente\". Na minha opini\u00e3o, essa explica\u00e7\u00e3o n\u00e3o \u00e9 suficiente. Quando uma pessoa realiza exerc\u00edcios f\u00edsicos, ela sabe o nome exato dos grupos musculares que est\u00e3o sendo trabalhados. No entanto, as conversas sobre matem\u00e1tica continuam muito abstratas. Quais \"m\u00fasculos da mente\" s\u00e3o treinados pela \u00e1lgebra escolar? Ela \u00e9 bem diferente da verdadeira matem\u00e1tica, onde s\u00e3o feitas grandes descobertas. O que a habilidade de buscar a derivada de algumas fun\u00e7\u00f5es complicadas oferece?<\/p>\n<p>Ensinando programa\u00e7\u00e3o para alunos fracos, cheguei a uma resposta mais precisa para a pergunta \"por qu\u00ea?\". Neste artigo, tentarei transmitir isso a voc\u00ea.<\/p>\n<p><img decoding=\"async\" alt=\"Para que serve a \u00e1lgebra escolar\" src=\"\/wp-content\/uploads\/2019\/07\/68c529ad50470860a474ba8d910ff00f.jpg\" style=\"display:block;margin: 0 auto;\" \/><noindex><a rel=\"nofollow\" name=\"habracut\"><\/a><\/noindex><br \/>\nNa escola, bastante tempo \u00e9 dedicado \u00e0 transforma\u00e7\u00e3o e simplifica\u00e7\u00e3o de express\u00f5es. Por exemplo: 81\u00d72+126xy+49y2 deve ser transformado como (9x+7y)2.<\/p>\n<p>Neste exemplo, espera-se que o aluno se lembre da f\u00f3rmula do quadrado da soma <\/p>\n<p><img decoding=\"async\" alt=\"Para que serve a \u00e1lgebra escolar\" src=\"\/wp-content\/uploads\/2019\/07\/7b8f583cf587730de2f76011f83b05b2.jpg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>\nEm casos mais complexos, a express\u00e3o obtida pode ser usada para outras transforma\u00e7\u00f5es. Por exemplo:<\/p>\n<p><img decoding=\"async\" alt=\"Para que serve a \u00e1lgebra escolar\" src=\"\/wp-content\/uploads\/2019\/07\/fe1570cc2f91020281abd22b47aad458.jpg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>\n\u00e9 transformada primeiro em<\/p>\n<p><img decoding=\"async\" alt=\"Para que serve a \u00e1lgebra escolar\" src=\"\/wp-content\/uploads\/2019\/07\/0aaa7d8b4dbf3d4c8e331a44088fc863.jpg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>\ne depois, com uma ressalva (a + 2b) != 0, resulta em<\/p>\n<p><img decoding=\"async\" alt=\"Para que serve a \u00e1lgebra escolar\" src=\"\/wp-content\/uploads\/2019\/07\/a95f9f03442ae65be217f70d4039b433.jpg\" style=\"display:block;margin: 0 auto;\" \/><\/p>\n<p>Para alcan\u00e7ar esse resultado, o aluno precisa reconhecer na express\u00e3o original e depois aplicar tr\u00eas f\u00f3rmulas:<\/p>\n<ul>\n<li>Quadrado da soma<\/li>\n<li>Diferen\u00e7a de quadrados<\/li>\n<li>Redu\u00e7\u00e3o de fatores de uma fra\u00e7\u00e3o comum<\/li>\n<\/ul>\n<p>\nNa escola, quase todo o tempo na \u00e1lgebra era dedicado a esse tipo de transforma\u00e7\u00e3o de express\u00f5es. Na universidade, na matem\u00e1tica superior, nada mudou substancialmente. Nos foram ensinadas a tirar derivadas (integrais, etc.) e nos deram uma tonelada de exerc\u00edcios. Isso foi \u00fatil? Na minha opini\u00e3o \u2014 sim. Como resultado da realiza\u00e7\u00e3o desses exerc\u00edcios:<\/p>\n<ol>\n<li>A habilidade de transformar express\u00f5es foi aprimorada.<\/li>\n<li>Desenvolveu-se uma aten\u00e7\u00e3o aos detalhes.<\/li>\n<li>Foi formado um ideal \u2014 uma express\u00e3o concisa \u00e0 qual se pode aspirar.<\/li>\n<\/ol>\n<p>\nNa minha vis\u00e3o, ter esse ideal, qualidade e habilidade \u00e9 muito \u00fatil no trabalho di\u00e1rio do desenvolvedor. Afinal, simplificar uma express\u00e3o, na ess\u00eancia, significa mudar sua estrutura com o objetivo de facilitar a compreens\u00e3o, sem alterar o sentido. Isso n\u00e3o te lembra nada?<\/p>\n<p>\u00c9 praticamente a defini\u00e7\u00e3o de refatora\u00e7\u00e3o do livro hom\u00f4nimo de Martin Fowler.<\/p>\n<p>Em sua obra, o autor as formula da seguinte maneira:<\/p>\n<blockquote><p>Refatora\u00e7\u00e3o (Refactoring) (substantivo): mudan\u00e7a na estrutura interna do software, com o objetivo de facilitar a compreens\u00e3o do seu funcionamento e simplificar a modifica\u00e7\u00e3o, sem alterar o comportamento observado.\n<\/p><\/blockquote>\n<blockquote><p>Realizar refatora\u00e7\u00e3o (Refactor) (verbo): modificar a estrutura do software, aplicando uma s\u00e9rie de refatora\u00e7\u00f5es, sem afetar seu comportamento.\n<\/p><\/blockquote>\n<p>O livro fornece \"f\u00f3rmulas\" que precisam ser reconhecidas no c\u00f3digo-fonte e regras para sua transforma\u00e7\u00e3o.<\/p>\n<p>Como exemplo mais simples, cito a \"introdu\u00e7\u00e3o de uma vari\u00e1vel explicativa\" do livro:<\/p>\n<pre><code class=\"plaintext\">if ( (platform.toUpperCase().indexOf(\u201cMAC\u201d) &gt; -1 ) &amp;&amp;\n    (browser.toUpperCase().indexOf(\u201cIE\u201d) &gt; -1 )&amp;&amp;\n    wasInitialized() &amp;&amp; resize &gt; 0 ) {\n    \/\/ fa\u00e7a algo\n}<\/code><\/pre>\n<p>\nPartes da express\u00e3o devem ser atribu\u00eddas a uma vari\u00e1vel, cujo nome explica sua finalidade.<\/p>\n<pre><code class=\"plaintext\">final boolean isMacOS = platform.toUpperCase().indexOf(\u201cMAC\u201d) &gt; -1;\nfinal boolean isIEBrowser = browser.toUpperCase().indexOf(\u201cIE\u201d) &gt; -1;\nfinal boolean isResized = resize &gt; 0;\nif(isMacOS &amp;&amp; isIEBrowser &amp;&amp; wasInitialized() &amp;&amp; isResized) {\n   \/\/ fa\u00e7a algo\n}\n<\/code><\/pre>\n<p>\nImagine uma pessoa que n\u00e3o consegue simplificar express\u00f5es alg\u00e9bricas usando a f\u00f3rmula do quadrado da soma e diferen\u00e7a dos quadrados.<\/p>\n<p>Voc\u00ea acha que essa pessoa conseguir\u00e1 refatorar o c\u00f3digo?<\/p>\n<p>Conseguir\u00e1 ela, de fato, escrever um c\u00f3digo que seja compreens\u00edvel para outras pessoas, se n\u00e3o tiver formado um ideal dessa concis\u00e3o? Na minha opini\u00e3o, n\u00e3o.<\/p>\n<p>No entanto, todos estudam na escola, e poucos se tornam programadores. \u00c9 \u00fatil essa habilidade de transformar express\u00f5es para as pessoas comuns? Eu penso que sim. Apenas a habilidade \u00e9 aplicada de uma forma mais abstrata: \u00e9 necess\u00e1rio avaliar a situa\u00e7\u00e3o e escolher a a\u00e7\u00e3o subsequente de modo a se aproximar do objetivo. Na pedagogia, esse fen\u00f4meno \u00e9 chamado de <noindex><a rel=\"nofollow\" href=\"https:\/\/current_pedagogy.academic.ru\/1191\/\">transfer\u00eancia (de habilidade)<\/a><\/noindex>.<\/p>\n<p>Os exemplos mais marcantes aparecem em reparos dom\u00e9sticos feitos com ferramentas improvisadas, de maneira \"caseira\". Como resultado, surgem as chamadas \"dicas\" e life hacks, um dos quais est\u00e1 ilustrado no exemplo. O autor da ideia tinha um peda\u00e7o de madeira, um fio e quatro parafusos. Lembrando do modelo de um soquete para l\u00e2mpadas, ele montou um soquete caseiro a partir deles.<\/p>\n<p>Mesmo ao dirigir, o motorista est\u00e1 constantemente reconhecendo padr\u00f5es no mundo ao seu redor e realizando manobras apropriadas para chegar ao seu destino.<\/p>\n<blockquote><p>Quando voc\u00ea morre, voc\u00ea n\u00e3o sabe disso, apenas os outros sofrem. O mesmo acontece quando voc\u00ea n\u00e3o dominou a matem\u00e1tica\u2026<\/p><\/blockquote>\n<p>O que acontece se uma pessoa n\u00e3o conseguir dominar a transforma\u00e7\u00e3o de express\u00f5es? De vez em quando, dou aulas individuais para alunos que tiveram dificuldades em matem\u00e1tica na escola. Geralmente, eles ficam completamente atolados no tema dos loops. Tanto que precisamos trabalhar com '\u00e1lgebra', mas na linguagem de programa\u00e7\u00e3o.<br \/>\nIsso acontece porque, ao escrever loops, a t\u00e9cnica principal consiste em transformar um grupo de express\u00f5es id\u00eanticas.<\/p>\n<p>Suponha que o resultado do programa deva ser assim:<\/p>\n<blockquote><p>Introdu\u00e7\u00e3o<br \/>\nCap\u00edtulo 1<br \/>\nCap\u00edtulo 2<br \/>\nCap\u00edtulo 3<br \/>\nCap\u00edtulo 4<br \/>\nCap\u00edtulo 5<br \/>\nCap\u00edtulo 6<br \/>\nCap\u00edtulo 7<br \/>\nConclus\u00e3o<\/p><\/blockquote>\n<p> Um programa trivial para alcan\u00e7ar esse resultado \u00e9 assim:<\/p>\n<pre><code class=\"cs\">static void Main(string[] args)\n{\n    Console.WriteLine(\"Introdu\u00e7\u00e3o\");\n    Console.WriteLine(\"Cap\u00edtulo 1\");\n    Console.WriteLine(\"Cap\u00edtulo 2\");\n    Console.WriteLine(\"Cap\u00edtulo 3\");\n    Console.WriteLine(\"Cap\u00edtulo 4\");\n    Console.WriteLine(\"Cap\u00edtulo 5\");\n    Console.WriteLine(\"Cap\u00edtulo 6\");\n    Console.WriteLine(\"Cap\u00edtulo 7\");\n    Console.WriteLine(\"Conclus\u00e3o\");\n}<\/code><\/pre>\n<p>\nMas essa solu\u00e7\u00e3o est\u00e1 longe do ideal conciso. Primeiro, \u00e9 necess\u00e1rio encontrar o grupo de a\u00e7\u00f5es que se repetem e, em seguida, transform\u00e1-lo. No final, obteremos a seguinte solu\u00e7\u00e3o:<\/p>\n<pre><code class=\"cs\">static void Main(string[] args)\n{\n    Console.WriteLine(\"Introdu\u00e7\u00e3o\");\n    for (int i = 1; i &lt;= 7; i++)\n    {\n        Console.WriteLine(&quot;Cap\u00edtulo &quot; + i);\n    }\n    Console.WriteLine(&quot;Conclus\u00e3o&quot;);\n}<\/code><\/pre>\n<p>\nSe a pessoa n\u00e3o dominou a matem\u00e1tica na \u00e9poca certa, ela n\u00e3o conseguir\u00e1 realizar tais transforma\u00e7\u00f5es. Ela simplesmente n\u00e3o ter\u00e1 a habilidade necess\u00e1ria. \u00c9 por isso que o tema dos loops \u00e9 o primeiro obst\u00e1culo no aprendizado de um desenvolvedor.<\/p>\n<p>Problemas semelhantes surgem em outras \u00e1reas. Se uma pessoa n\u00e3o sabe usar uma ferramenta \u00e0 m\u00e3o, n\u00e3o conseguir\u00e1 mostrar engenhosidade no cotidiano. Coment\u00e1rios maldosos dir\u00e3o que as m\u00e3os n\u00e3o est\u00e3o no lugar certo. Na estrada, isso se manifesta na incapacidade de avaliar corretamente a situa\u00e7\u00e3o e escolher a manobra. O que \u00e0s vezes pode levar a consequ\u00eancias tr\u00e1gicas.<\/p>\n<p>Conclus\u00f5es:<\/p>\n<ol>\n<li>A matem\u00e1tica escolar e universit\u00e1ria \u00e9 necess\u00e1ria para que possamos melhorar o mundo com os meios que temos.<\/li>\n<li>Se voc\u00ea est\u00e1 estudando e encontra dificuldades em aprender sobre loops, tente voltar \u00e0s origens \u2014 \u00e0 \u00e1lgebra escolar. Pegue um livro de exerc\u00edcios da 9\u00aa s\u00e9rie e resolva os problemas.<\/li>\n<\/ol>\n<p>Fonte: <a content=\"nofollow\" rel=\"nofollow\" href=\"https:\/\/habr.com\/ru\/post\/456156\/\">habr.com<\/a><\/p>","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>\u041e\u0431\u044b\u0447\u043d\u043e \u043d\u0430 \u0432\u043e\u043f\u0440\u043e\u0441 \u00ab\u0437\u0430\u0447\u0435\u043c \u043d\u0443\u0436\u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430?\u00bb \u043e\u0442\u0432\u0435\u0447\u0430\u044e\u0442 \u0447\u0442\u043e-\u0442\u043e \u0432\u0440\u043e\u0434\u0435 \u00ab\u0433\u0438\u043c\u043d\u0430\u0441\u0442\u0438\u043a\u0430 \u0434\u043b\u044f \u0443\u043c\u0430\u00bb. \u041d\u0430 \u043c\u043e\u0439 \u0432\u0437\u0433\u043b\u044f\u0434, \u044d\u0442\u043e\u0433\u043e \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u044f \u043d\u0435\u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e. \u041a\u043e\u0433\u0434\u0430 \u0447\u0435\u043b\u043e\u0432\u0435\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442 \u0444\u0438\u0437\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0442\u043e \u043e\u043d \u0437\u043d\u0430\u0435\u0442 \u0442\u043e\u0447\u043d\u043e\u0435 \u043d\u0430\u0437\u0432\u0430\u043d\u0438\u0435 \u0433\u0440\u0443\u043f\u043f \u043c\u044b\u0448\u0446, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043f\u0440\u0438 \u044d\u0442\u043e\u043c \u0440\u0430\u0437\u0432\u0438\u0432\u0430\u044e\u0442\u0441\u044f. \u041d\u043e \u0440\u0430\u0437\u0433\u043e\u0432\u043e\u0440\u044b \u043f\u0440\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0443 \u043e\u0441\u0442\u0430\u044e\u0442\u0441\u044f \u0441\u043b\u0438\u0448\u043a\u043e\u043c \u0430\u0431\u0441\u0442\u0440\u0430\u043a\u0442\u043d\u044b\u043c\u0438. \u041a\u0430\u043a\u0438\u0435 \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u043e \u00ab\u043c\u044b\u0448\u0446\u044b \u0443\u043c\u0430\u00bb \u0442\u0440\u0435\u043d\u0438\u0440\u0443\u044e\u0442\u0441\u044f \u0448\u043a\u043e\u043b\u044c\u043d\u043e\u0439 \u0430\u043b\u0433\u0435\u0431\u0440\u043e\u0439? \u041e\u043d\u0430 \u0432\u0435\u0434\u044c \u0441\u043e\u0432\u0441\u0435\u043c \u043d\u0435 \u043f\u043e\u0445\u043e\u0436\u0430 \u043d\u0430 \u043d\u0430\u0441\u0442\u043e\u044f\u0449\u0443\u044e [&hellip;]<\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":27386,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[702],"tags":[],"class_list":["post-36577","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-news"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.3 - aioseo.com -->\n\t<meta name=\"description\" content=\"\u041e\u0431\u044b\u0447\u043d\u043e \u043d\u0430 \u0432\u043e\u043f\u0440\u043e\u0441 \u00ab\u0437\u0430\u0447\u0435\u043c \u043d\u0443\u0436\u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430?\u00bb \u043e\u0442\u0432\u0435\u0447\u0430\u044e\u0442 \u0447\u0442\u043e-\u0442\u043e \u0432\u0440\u043e\u0434\u0435 \u00ab\u0433\u0438\u043c\u043d\u0430\u0441\u0442\u0438\u043a\u0430 \u0434\u043b\u044f \u0443\u043c\u0430\u00bb. \u041d\u0430 \u043c\u043e\u0439 \u0432\u0437\u0433\u043b\u044f\u0434, \u044d\u0442\u043e\u0433\u043e \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u044f \u043d\u0435\u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e.\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"Yuri Gagarin\"\/>\n\t<link rel=\"canonical\" href=\"https:\/\/prohoster.info\/pt\/blog\/news\/vot-zachem-nuzhna-shkolnaya-algebra\" \/>\n\t\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 5.0.3\" \/>\n\t\t<meta property=\"og:locale\" content=\"pt_PT\" \/>\n\t\t<meta property=\"og:site_name\" content=\"ProHoster | \u041a\u0443\u043f\u0438\u0442\u044c \u043d\u0430\u0434\u0435\u0436\u043d\u044b\u0439 \u0445\u043e\u0441\u0442\u0438\u043d\u0433 \u0434\u043b\u044f \u0441\u0430\u0439\u0442\u043e\u0432 \u0441 \u0437\u0430\u0449\u0438\u0442\u043e\u0439 \u043e\u0442 DDoS, VPS VDS \u0441\u0435\u0440\u0432\u0435\u0440\u044b\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"\ud83e\udd47\u0412\u043e\u0442 \u0437\u0430\u0447\u0435\u043c \u043d\u0443\u0436\u043d\u0430 \u0448\u043a\u043e\u043b\u044c\u043d\u0430\u044f \u0430\u043b\u0433\u0435\u0431\u0440\u0430 | ProHoster\" \/>\n\t\t<meta property=\"og:description\" content=\"\u041e\u0431\u044b\u0447\u043d\u043e \u043d\u0430 \u0432\u043e\u043f\u0440\u043e\u0441 \u00ab\u0437\u0430\u0447\u0435\u043c \u043d\u0443\u0436\u043d\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430?\u00bb \u043e\u0442\u0432\u0435\u0447\u0430\u044e\u0442 \u0447\u0442\u043e-\u0442\u043e \u0432\u0440\u043e\u0434\u0435 \u00ab\u0433\u0438\u043c\u043d\u0430\u0441\u0442\u0438\u043a\u0430 \u0434\u043b\u044f \u0443\u043c\u0430\u00bb. \u041d\u0430 \u043c\u043e\u0439 \u0432\u0437\u0433\u043b\u044f\u0434, \u044d\u0442\u043e\u0433\u043e \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u044f \u043d\u0435\u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e.\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/prohoster.info\/pt\/blog\/news\/vot-zachem-nuzhna-shkolnaya-algebra\" \/>\n\t\t<meta property=\"og:image\" content=\"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg\" \/>\n\t\t<meta property=\"og:image:secure_url\" content=\"https:\/\/prohoster.info\/wp-content\/uploads\/2021\/11\/logo-350.jpg\" \/>\n\t\t<meta property=\"og:image:width\" content=\"350\" \/>\n\t\t<meta property=\"og:image:height\" content=\"350\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2019-10-31T19:12:27+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2019-10-31T19:12:27+00:00\" \/>\n\t\t<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/prohoster\" \/>\n\t\t<meta property=\"article:author\" content=\"https:\/\/www.facebook.com\/prohoster\" \/>\n\t\t<!-- All in One SEO -->\n\n","aioseo_head_json":{"title":"\ud83e\udd47\u00c9 para isso que serve a \u00e1lgebra escolar | ProHoster","description":"Normalmente, quando algu\u00e9m pergunta \u00abpara que serve a matem\u00e1tica?\u00bb, a resposta \u00e9 algo como \u00abgin\u00e1stica para a mente\u00bb. 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