{"title":"求解线性丢番图方程的技术","authors":"Egidio Filho, M. Rodrigues, Orlando Eduardo Ferri","doi":"10.21711/2319023x2022/pmo101","DOIUrl":null,"url":null,"abstract":"Different mathematical strategies can be used to solve the same problem and it is salutary that the student experiences multiple techniques for facing problem situations, thus understanding that mathematics is dynamic. Based on this premise, this paper brings a study of linear Diophantine equations presenting three resolution strategies, in which two of them have in essence the theory of the greatest common divisor between two integers and the other deals basically with successive divisions.","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"17 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Técnicas para resolução de equações Diofantinas lineares\",\"authors\":\"Egidio Filho, M. Rodrigues, Orlando Eduardo Ferri\",\"doi\":\"10.21711/2319023x2022/pmo101\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Different mathematical strategies can be used to solve the same problem and it is salutary that the student experiences multiple techniques for facing problem situations, thus understanding that mathematics is dynamic. Based on this premise, this paper brings a study of linear Diophantine equations presenting three resolution strategies, in which two of them have in essence the theory of the greatest common divisor between two integers and the other deals basically with successive divisions.\",\"PeriodicalId\":274953,\"journal\":{\"name\":\"Revista Professor de Matemática On line\",\"volume\":\"17 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Revista Professor de Matemática On line\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21711/2319023x2022/pmo101\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista Professor de Matemática On line","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21711/2319023x2022/pmo101","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Técnicas para resolução de equações Diofantinas lineares
Different mathematical strategies can be used to solve the same problem and it is salutary that the student experiences multiple techniques for facing problem situations, thus understanding that mathematics is dynamic. Based on this premise, this paper brings a study of linear Diophantine equations presenting three resolution strategies, in which two of them have in essence the theory of the greatest common divisor between two integers and the other deals basically with successive divisions.
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