{"id":209,"date":"2022-11-03T13:36:24","date_gmt":"2022-11-03T16:36:24","guid":{"rendered":"https:\/\/utfpr.curitiba.br\/repositorio\/?post_type=docs&#038;p=209"},"modified":"2022-11-03T13:36:24","modified_gmt":"2022-11-03T16:36:24","password":"","slug":"numeros-naturais-construcao-estrutura-algebrica-e-propriedades-aritmeticas","status":"publish","type":"docs","link":"https:\/\/utfpr.curitiba.br\/repositorio\/docs\/numeros-naturais-construcao-estrutura-algebrica-e-propriedades-aritmeticas\/","title":{"rendered":"N\u00fameros Naturais: Constru\u00e7\u00e3o, Estrutura Alg\u00e9brica e Propriedades Aritm\u00e9ticas"},"content":{"rendered":"\n<p><strong>RESUMO<\/strong><br>Este guia did\u00e1tico traz informa\u00e7\u00f5es sobre o Recurso Educacional Aberto &#8211; REA \u201cNUMEROS NATURAIS: constru\u00e7\u00e3o, estrutura alg\u00e9brica e propriedades aritm\u00e9ticas\u201d desenvolvido com o fomento do Edital 48\/2020 \u2013 DIRGRAD, UTFPR-CT. O recurso aborda, com formalismo matem\u00e1tico, a constru\u00e7\u00e3o axiom\u00e1tica dos n\u00fameros naturais, indu\u00e7\u00e3o matem\u00e1tica, as opera\u00e7\u00f5es e suas propriedades, conceitos aritm\u00e9ticos e seus resultados e aplica\u00e7\u00f5es. \u00c9 destinado aos estudantes dos cursos de Matem\u00e1tica e demais interessados no estudo da Aritm\u00e9tica Te\u00f3rica no conjunto dos n\u00fameros naturais. Com o enfoque te\u00f3rico e formalismo matem\u00e1tico acreditamos que o REA produzido complemente as refer\u00eancias bibliogr\u00e1ficas para um primeiro curso de Aritm\u00e9tica e preencha a lacuna na abordagem das primeiras propriedades dos n\u00fameros naturais que, em geral, s\u00e3o abordadas superficialmente.<\/p>\n\n\n\n<p><strong>AUTORES<\/strong><br>Neusa Nogas Tocha &#8211; Doutora em Matem\u00e1tica \u2013 Coordenadora<br>Beatriz Schmitke \u2013 Bolsista <br>Henrique Pereira Avelar \u2013 Volunt\u00e1rio<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><strong>ANO DE PUBLICA\u00c7\u00c3O<\/strong><br>2022<\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button is-style-fill\"><a class=\"wp-block-button__link has-background\" href=\"https:\/\/cloud.utfpr.edu.br\/index.php\/s\/KlydTY4XdAsmFGe\/download\" style=\"border-radius:10px;background:linear-gradient(135deg,rgb(252,185,0) 0%,rgb(255,204,0) 94%);padding-top:15px;padding-right:15px;padding-bottom:15px;padding-left:15px\" target=\"_blank\" rel=\"noreferrer noopener\">Download (300.2 MB)<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>RESUMOEste guia did\u00e1tico traz informa\u00e7\u00f5es sobre o Recurso Educacional Aberto &#8211; REA \u201cNUMEROS NATURAIS: constru\u00e7\u00e3o, estrutura alg\u00e9brica e propriedades aritm\u00e9ticas\u201d desenvolvido com o fomento do Edital 48\/2020 \u2013 DIRGRAD, UTFPR-CT. O recurso aborda, com formalismo matem\u00e1tico, a constru\u00e7\u00e3o axiom\u00e1tica dos n\u00fameros naturais, indu\u00e7\u00e3o matem\u00e1tica, as opera\u00e7\u00f5es e suas propriedades, conceitos aritm\u00e9ticos e seus resultados e [&hellip;]<\/p>\n","protected":false},"author":137,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"doc_category":[6],"doc_tag":[77,79,78,80,81],"class_list":["post-209","docs","type-docs","status-publish","hentry","doc_category-rea","doc_tag-axiomas-de-peano","doc_tag-divisao-euclidiana","doc_tag-inducao-matematica","doc_tag-sistema-posicional","doc_tag-teorema-fundamental-da-aritmetica"],"year_month":"2026-04","word_count":161,"total_views":0,"reactions":{"happy":0,"normal":0,"sad":0},"author_info":{"name":"JANAINA ELIZA FADEL","author_nicename":"janainafadel","author_url":"https:\/\/utfpr.curitiba.br\/repositorio\/author\/janainafadel\/"},"doc_category_info":[{"term_name":"REA","term_url":"https:\/\/utfpr.curitiba.br\/repositorio\/categoria\/rea\/"}],"doc_tag_info":[{"term_name":"Axiomas de Peano","term_url":"https:\/\/utfpr.curitiba.br\/repositorio\/tag\/axiomas-de-peano\/"},{"term_name":"Divis\u00e3o Euclidiana","term_url":"https:\/\/utfpr.curitiba.br\/repositorio\/tag\/divisao-euclidiana\/"},{"term_name":"Indu\u00e7\u00e3o Matem\u00e1tica","term_url":"https:\/\/utfpr.curitiba.br\/repositorio\/tag\/inducao-matematica\/"},{"term_name":"Sistema Posicional","term_url":"https:\/\/utfpr.curitiba.br\/repositorio\/tag\/sistema-posicional\/"},{"term_name":"Teorema Fundamental da Aritm\u00e9tica","term_url":"https:\/\/utfpr.curitiba.br\/repositorio\/tag\/teorema-fundamental-da-aritmetica\/"}],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - 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