This work aims to present a way to teach the geometry content of metric relations in right triangles using a grid as a resource. The bibliographic references used were Silva & Barbosa (2022), who pointed out the causes of difficulty in this content; Carvalho (2004), who pointed out difficulties and highlighted the importance of this content; Lamas & Mauri (2006), who used rubberized materials to teach this content; Santos & Mendonça (2016), who use robotics as a methodology for this content; and Pires (2018), who uses the GeoGebra software to teach this content. The methodology used to produce this text was qualitative research based on the work of other authors and our experience in teaching mathematics as teachers. As a result, we present a way to teach and discuss the learning of metric relations in right triangles using a grid without using triangle similarity to deduce formulas.

Esse artigo aborda a discussão acerca da instrução e aprendizagem de Matemática no contexto educacional brasileiro, referente ao aprendizado dos alunos do 3° ano do Ensino Médio. A questão de pesquisa foi como se designa o ensino e aprendizagem de Matemática no ensino médio? Com base nessa questão, justificou-se diagnosticar a aprendizagem dos educandos a respeito do tema. Objetivo foi realizar um diagnóstico do processo de ensino-aprendizagem da Matemática em discentes oriundos do 2ª ano do Ensino Médio, especificamente alunos matriculados no 3º ano do Ensino Médio. Para verificar a aprendizagem dos estudantes utilizamos 1 instrumentos de pesquisa que foi um questionário. A pesquisa foi realizada com 100 alunos do ensino médio e as informações coletadas foram analisadas a partir de 3 categorias, sendo elas: o perfil social; impressões metodológicas do ensino e a avaliação da aprendizagem, as quais possibilitaram o entendimento sobre o assunto em questão sob o direcionamento que essa pesquisa seguiu. Diante dos resultados obtidos, podemos conhecer mais das características sociais dos estudantes e a metodologia de ensino usada pelos professores, que de alguma forma pode influenciar no metodologia de aprendizagem e nos resultados avaliativos dos estudantes.

Mapear o perfil de estudantes que adentram as universidades públicas já é um objetivo de diversos estudos, porém esse perfil tem se apresentado cada vez mais singular. Desta forma, buscamos neste estudo levantar indicadores que nos auxiliem na compreensão da realidade e das particularidades dos estudantes dos diferentes cursos do ensino superior de uma universidade pública federal do sudeste paraense, por meio do diagnóstico socioeconômico destes alunos. Neste artigo, utiliza-se, um questionário estruturado, com perguntas diretas, calculando-se uma amostra estratificada por curso e turma/semestre, considerando o nível de significância igual a 5%, com base na quantidade de alunos matriculados no 2º semestre de 2019, o que totalizou uma amostra de 251 alunos. Dentre os principais resultados, destaca-se no estudo, a predominância de alunos do sexo feminino, que se autodeclararam pardos, sem deficiência, que moram com os pais em casa própria, dependem de transporte público, sem vínculo empregatício, não recebem nenhum benefício de programa social do governo federal e não participam de atividades extracurriculares. Com isso, entende-se algumas características predominantes no ambiente acadêmico e que influenciam no desempenho e estabilidade dos estudantes na universidade, assim se torna mais viável elaborar políticas de permanência e que favoreçam a aprendizagem destes estudantes no ensino superior.

The research shows how violence, trafficking and drug use has been recurrent within schools, causing directions that are difficult to contour by Brazilian government officials. The research had a qualitative and quantitative character. The method used was interviews with teachers and the use of questionnaires with a group of one hundred and seventy students and sixteen teachers. Among all the problems, misery; the use of drugs; the arrival of adolescence; the insertion of the researched group in risk areas belonging to Perverse Territorialization; the lack of definition of a full and adequate curriculum for our social problems; the lack of adequate punishment; the influence of family habitus has contributed to the spread of violence, stimulating parallel activities with the predominance of drug trafficking and organized crime where it presents a growing approximation with the local community in need of all types of services and improvements not provided by the State, causing the increase in all crime rates, the increase in drug trafficking as well as the increase in cases of psychological disorders. Among these reasons, violence in the school environment has increased. The actions necessary to reduce school violence are pointed out in this article, knowing that for its consolidation, the support of the school community and the creation of internal codes of conduct essential to living in the school environment are necessary.

The research aims to provide a game presenting methods and operations that favors mathematical education in elementary school, using easily accessible material combined on the elaboration and application of the activity called Dominó, which presents the subject of rooting and potentiation in domino pieces and in strategies of this board game. The activity observed by teachers during Mathematics Week, during the month of May 2023 at Colégio Ten. Rêgo Barros, was divided into two parts: the first, dedicated to the creation of the pieces using carpentry wood, in addition to involving the student with incentives to handle these materials; the second, dedicated to understanding the mathematics present in the construction of the pieces and the strategy of some moves, and, finally, putting this knowledge into practice in a match of the game. The sources used to write this article were the materials sent by the students, images of the buildings and materials used. The teachers who evaluated the work noted the construction of mathematical objects, providing a didactic transposition of mathematical subjects and understanding in a more reasonable way for all team members as well as classmates who learned and participated in the presentation. The evolution of the mathematical and deductive reasoning of the students who observed and integrated with others during the presentations was noticed, thus showing a new active tool for understanding mathematical concepts.

The mathematical and statistical analysis of the disease COVID 19 and implications for future projections, shows a survey using the data collected from the cases of the new coronavirus, related to the number of cases and deaths resulting from the disease. The methodology used was of the quantitative type, supported by data made available by the Brazilian Institute of Geography and Statistics and by the Ministry of Health, where mathematical models were generated, polynomials of the 3rd and 4th grade, referring to the numbers of deaths and cases respectively. The objective is to unveil the main circumstances that contribute to the increase in the lethality rate of the disease, in addition to showing what happened for every 10,000 cases and deaths from the disease. The estimated results, are correlated with the demographic density, indicated in which locations there is a greater advance of the pandemic, in addition to sampling estimated time projections of the extinction of the advance in the number of cases and possible deaths, considering the restriction measures adopted considering the possibilities the emergence of a new curve, corroborating so that the competent authorities can devise strategies to contain it.