{"title":"Um estudo sobre as equações do segundo grau e suas concepções no Exame Nacional do Ensino Médio","authors":"José Edmilson da Silva, Aldo Lourêdo","doi":"10.21711/2319023x2022/pmo1034","DOIUrl":"https://doi.org/10.21711/2319023x2022/pmo1034","url":null,"abstract":"","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"122 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128138933","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Adailton da Silva, Amanda Ottoni, José Eloy Ottoni
{"title":"O Teorema de Kontsevich e os intercâmbios polinomiais","authors":"Adailton da Silva, Amanda Ottoni, José Eloy Ottoni","doi":"10.21711/2319023x2022/pmo106","DOIUrl":"https://doi.org/10.21711/2319023x2022/pmo106","url":null,"abstract":"","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130425280","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
R. Fonseca, Ana Paula Brito, Gabriel Pinho, Yuri Marigliani, Richard Fonseca
{"title":"Triplos pitagóricos e as interações entre álgebra, geometria e aritmética","authors":"R. Fonseca, Ana Paula Brito, Gabriel Pinho, Yuri Marigliani, Richard Fonseca","doi":"10.21711/2319023x2020/pmo1026","DOIUrl":"https://doi.org/10.21711/2319023x2020/pmo1026","url":null,"abstract":"","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130974999","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Uma proposta para o ensino de funções exponenciais e logarítmicas de acordo com a BNCC: mediada pelo GeoGebra e resolução de problemas","authors":"E. Costa, Vilmar Silva, Jabson Silva","doi":"10.21711/2319023x2022/pmo1044","DOIUrl":"https://doi.org/10.21711/2319023x2022/pmo1044","url":null,"abstract":"","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"652 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133280059","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"O conceito de medida, o continuum e o discreto","authors":"J. Magossi, Vania Rosa Izidoro","doi":"10.21711/2319023x2022/pmo1028","DOIUrl":"https://doi.org/10.21711/2319023x2022/pmo1028","url":null,"abstract":"The word “measure” has been used throughout the history of humanity in almost every sector of human activity. It is not surprising that any changes in the way things are measured, also cause impacts in the developent of science and technologies. The refinements in the measurement criteria, in a broad sense, occur thanks to existing technologies, or they emerge from some well-defined rule, written in some language, with some scientific or practical purpose. Whereas, in a remote past, the diameter of the Earth was measured based on similarities of triangles, in modern times technologies made these measures much more precise. Even so a consensus is not yet reached, given that the mathematical continuum imposes restrictions on measurement reality. For example, there is no way to use in its fullness in laboratories, since approximations are necessary, taking into account that it is an irrational number with infinite decimal places. This characterizes a seesaw, in which, on one hand, there are the practical measures in the reality we live in, and, on the other, the theoretical measures. The goal in this article is to expose that, on one hand, from the perspective of mathematics, some examples characterize the relation between continuum and the discrete, in the measured aspect. On the other hand, we show that this relationship can indicate contradictions, in a stage of interactions between the practical and the theoretical world, if no careful reading happens. Apart from a historical digression with examples, it is shown that something similar occurs with the concept of measure when it is seen as an amount of information, called entropy by C. E. Shannon. There is also care to be taken regarding entropy, seen from the point of view of discrete models, and their extension to continuous models, differential entropy. While on the discrete side the amount of information is positive, the differential entropy, on the continuous side, can be negative, positive or arbitrarily large.","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132090033","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Inversão por círculos como aplicação dos números complexos","authors":"Miguel Frasson","doi":"10.21711/2319023x2022/pmo1043","DOIUrl":"https://doi.org/10.21711/2319023x2022/pmo1043","url":null,"abstract":"","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132685881","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Intuição Matemática e o estudo da Lineabilidade","authors":"Gustavo Araújo, Eudes Marinho","doi":"10.21711/2319023x2020/pmo1038","DOIUrl":"https://doi.org/10.21711/2319023x2020/pmo1038","url":null,"abstract":"","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115103637","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A utilização da modelagem matemática na produção de avalanches em pequena escala","authors":"Renan Santos, Fernando Pires","doi":"10.21711/2319023x2021/pmo940","DOIUrl":"https://doi.org/10.21711/2319023x2021/pmo940","url":null,"abstract":"","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"133 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126180744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Polinômios e métodos numéricos interativos","authors":"Marlon Péricles ASSIS, M. Batista","doi":"10.21711/2319023x2021/pmo931","DOIUrl":"https://doi.org/10.21711/2319023x2021/pmo931","url":null,"abstract":"The present work deals with the numerical methods of Bissection, False Position and Newton to approximate zeros of polynomial functions of any degree, given the intervals in which these functions vanish, either when it can be deduced or in scenarios where such intervals can be inferred. It is noteworthy that this research comprises the elaboration of algorithms and demands computational thinking in order to solve problems in accordance with the aspects provided for the National Common Curricular Base. The use of the educational software Visual Numerical Calculation and Excel was decisive for the efficiency of the algorithms in terms of speed and accuracy.","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129647622","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
R. Dario, Felippe Sirtoli, Hugo Bernardelli, João Gonçalves
{"title":"Ensino de matemática para o mercado financeiro: um iPhone ou ações da Apple?","authors":"R. Dario, Felippe Sirtoli, Hugo Bernardelli, João Gonçalves","doi":"10.21711/2319023x2023/pmo1108","DOIUrl":"https://doi.org/10.21711/2319023x2023/pmo1108","url":null,"abstract":"","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130728522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}