Um curso de matemática básica através da resolução de problemas para alunos ingressantes da Universidade Federal do Pampa - campus Alegrete

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Teorema de Pitágoras: algumas extensões/generalizações e atividades com o Software GeoGebra

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Rigidez dos triângulos

Pós-graduação em Matemática em Rede Nacional - IBILCE

Uso da calculadora nas aulas de Matemática: possibilidades e percepção de licenciandos e professores

The objective of this work is to analyze teaching situations with the use of calculator inside classroom aiming to understand its function and potential to the learning of Mathematics. A survey was carried out about the students and teachers’ conceptions concerning the use of calculator as an auxiliary tool in the learning of Math . The first part of the research is based by means of official documents (Parâmetros Curriculares Nacionais (PCN) , Proposta Curricular do Estado de São Paulo, Guia do Programa Nacional do Livro Didático (PNLD)) , researches and other publications , characterizing by a bibliographic study. The survey with the participants— Math students and teachers acting in public or private schools of São Paulo state— was done through a questionnaire and interviews . The results show that most part of interviewed people are in favor of the use of calculator in the classroom . However , a big part of this number still consider it only as a tool to speed calculations with high numbers or decimals . It was verified that teachers who have recently graduated and have taught for a short period of time accept and comprehend the role of calculator more easily in some activities and consider it as an useful and auxiliary tool to the students’ learning

Educação financeira: uma possibilidade de ensino a partir dos cenários para investigação

This work presents a proposal for teaching financial mathematics to students from secondary school using mathematics investigation. This methodology is used for many researchers and this work follows the main ideas of Fonseca, Brunheira, and Ponte (1999) and Skovsmose (2000). With this methodology, we intend to develop activities that approximate real situations of daily life and we aim to help students to understand and make decisions about single commercial and finances negotiations. Such activities have open questions that provide students the opportunity to think about mathematical subjects like loans, financing and saving account. We show a short description of studies about the importance of financial education in secondary school and university. Our proposal is applied in Secondary School because we considering to use contents of this area in a very simple way, dealing with mathematical ideas in order to develop skills of critical analysis. We suggest a qualitative research with phenomenological approach, as a possibility analysis of collected data from this teaching proposal

O jogo de xadrez e a aprendizagem matemática: uma análise de possibilidades

The idea of this research is to analyze the possibilities of using chess as a nice alternative for motivating and teaching mathematics. The study was carried out in three steps, consisting of a literature review about the importance of games for education, followed by the importance that the game of chess has on the student's cognitive development and, finally, a qualitative analysis of data obtained by recording it. The data were taken from some activities performed in the 6th grade class of elementary education at a public school in the city of Roseira, state of São Paulo, in a team at the age 9 and 12 year-old students. The result of this research proved to be significant the use of chess game to teach math, we were able to verify that there was an easy assimilation of the subject, because when a student plays, he/she willdevelop skills in the game which becomes an incentive to study even more

A etnomatematica e suas contribuições para o conteúdo da matemática escolar

In this research we set out to understand the Ethnomathematics Program such as it is said by some authors of Mathematics Education. To this end we conducted an exploratory study. The objective of to study this program is to analyze its contribution to understanding of the content of mathematics in the school environment. The authors studied are Ubiratan D'Ambrosio, considered the precursor of the Ethnomathematics Program and researchers as Paulus Gerdes, Maria do Carmo Santos Domite, Eduardo Sebastiani Ferreira and Gelsa Knijnik, that develop research in Ethnomathematics and may contribute to the comprehension of what in the study we intend to do. Although recourse to authors of Education and Education Philosophy as Maria Aparecida Viggiani Bicudo and Joel Martins to intend the idea of curriculum and its importance in the school environment. The study carried showed that the Ethnomathematics Program goes beyond of to explicit the mathematical knowledge produced by cultural groups, transcending the description of procedures that reveal the construction of knowledge hitch to school subjects. That is, the program seeks the valuing the human being, concerning itself with the construction of a worthy citizen and able to relate with their natural environment, social and intellectual

O ensino dos conceitos de área e perímetro através da resolução de problemas

When I set out to attend degree in mathematics was because I believed that mathematics could be taught to students in a way closer to their daily lives, thereby making it a more attractive school discipline, gradually, eliminating its reputation of a difficult school subject. Then, during my observations in supervised, I realized that one of the greatest difficulties in mathematics was related with geometry, in which the concepts of area and perimeter were often confused. Using the methodological tool of problem solving, something to bring the concept to be developed and the cultural context in which the student is in, I developed some educational activities in which, using concrete materials, students were encouraged to construct their own knowledge about the concepts of area and perimeter. Moreover, such activities were designed to place the student as the center of attention in the classroom. The main objective of this work is to encourage and observe how this methodology, based on the solving problem process, can be used within the classroom, to better understand the concepts to be taught, always looking for improvement of the student learning

O uso das TIC nas aulas de matemática na perspectiva do professor

The objective of this research is to understand whether the mathematics lessons teachers use ICT and how they see their use. For this, we prepared a questionnaire with four questions for the subjects of our research, which are ex - students of Bachelor in Mathematics FEG / UNESP, in exercise of the profession. The questionnaire data were analyzed following the procedures of phenomenological research. This approach enabled us to draw up three open categories. The first Recourse to boost student learning and school, leads us to interpret that for the interviewees, ICT resources are leading students to do research making them responsible for their learning and providing them with conditions respond the issues raised by the teacher, which generates greater interactivity. The second, Possibility to use software related to mathematical content shows that the subject sees ICT as resources that allow the study of mathematical content, especially geometry and functions, so that student learning is leverage. The third, Obstacles to the use of technology in the classroom shows that even if the subjects recognize the importance of ICT use, they do not use it as often as they would like because of the difficulties that are related to infrastructure and didactic and pedagogical conditions

A matemática no ciberespaço: um olhar fenomenológico para a expressão dos sujeitos

With the implementation of new technologies on the world stage of communication, Internet access has become increasingly numerous. Being sought by this means all kinds of information, from knowledge to entertainment. This paper intends to report the experience in two communities of the Internet, particularly in the social network Orkut, entitled I Hate Mathematics and I Love Mathematics, whose members are students, teachers and people who want to express how they feel about mathematics. The goal is to understand what took the members of these communities to hate or love Mathematics, clarifying the nature of the network Orkut and its contribution to mathematics education. For the analysis of data from field work, we use the phenomenological approach. The procedures followed by such approach allowed us to build four open categories: Research and Background, revealing that the research activities allow students to develop strategies, develop creativity and shows that what is learned in classroom is not just an accumulation of knowledge; Teacher's Role shows that it is necessary that the teacher understands the meaning of being a teacher and worry about being a student; Acquisition Technique, it is necessary that students be able to understand what is done and how it is done, and Sense of What is Done, to do is not directly linked to comprehend. The interpretation of these categories helped us understand the investigated giving us source to analyze how Information and Communication Technologies (ICT) can help the teacher understand the student's relationship with Mathematics

Matemática e Arte: interdisciplinaridade

The objective of this study is to perform a theoretical study of the possible relationship between mathematics and art. For some people, the association between these fields of knowledge may simply seem absurd, possibly because they do not know what is in common between an area considered rigorous, rational, objective, and a more emotional, intuitive, subjective. In this context, interdisciplinarity has an important role, in proposing the contextual integration between the subject content, such as projective geometry and the renaissance. Are also presented as examples of this union, the technique of Moses and the geometric patterns of indigenous crafts, as well as the work of artist Maurits Cornelis Escher, a legitimate representative of the relationship between art and mathematics

A utilização de sólidos geométricos com alunos do ensino fundamental

This research analyzed if the interactions between teacher and student, and among students, with the use of manipulative materials in the Mathematics teaching in a middle school class and provided the comprehension of the subjects worked. The analysis of the results was based in Vygotsky’s socio-historical theory, that prioritizes the interactions in learning-teaching process. The results of this research showed that these interactions mediated by the use of such materials provide the student with the motivation needed to take part in the math classes as an active actor in his development process, as well as understanding the concepts

Etnomatematica: psicologia aplicada à educação matemática

Investigations in ethnomathematics show that there are several cultural forms of mathematics, mathematics different dominant. Currently, most research in ethnomathematics aim an ethnographic study of anthropological or cultural groups. However, there is a strong need for studies in ethnomathematics is to target the pedagogical action, involving the teachinglearning practices. So the big challenge for researchers in ethnomathematics is the development of study and teaching practices in line with the objectives philosophicaltheoretical Program Ethnomathematics

Contação de histórias e educação crítica: uma proposta didática

This proposal offers a possibility of approximation of mathematical knowledge at the prospect of Critical Education defended by researchers such as Ole Skovsmose and Paulo Freire. Using storytelling as a methodological resource is intended to develop an activity that allows students to think critically about real-life situations that have democratic questions as ground. The research is part of the branch of mathematics concerned with the education goals of teaching mathematics in basic education. We discuss the relevance of an educational process that enables the development of a democratic competence in the first years of primary education by showing students that their classroom can and should be seen as a community, where everyone has rights and duties. The interpretation and understanding of real situations can be something very complex and uninteresting for students of that age, looking for an attractive feature such as storytelling, which is based on the tendency of Reading and Writing in Mathematics, proposed by Nacarato and Lopes; Cardoso and Fonseca. Adopting a phenomenological attitude in the research seeks to understand if the storytelling can contribute to the formation of the critical student. Assuming this perspective has developed a didactic sequence from the story 'o que os olhos não vêem' from writer Ruth Rocha. The student's writing, favored by the proposed sequence, subsidizes the understanding of their thinking and acting on the democratic situations

Análise de uma avaliação diagnóstica de matemática: de uma escola estadual de Rio Claro

A pesquisa consiste na análise de uma avaliação diagnóstica aplicada em escolas estaduais do Estado de São Paulo no ano de 2012, essa avaliação é concedida pelo próprio Estado, porém essa análise se restringe em apenas uma escola com cinco salas de sétimos anos, totalizando cerca de cento e trinta alunos. O objetivo é examinar as provas de matemática e através dos resultados verificarem se as habilidades e competências dos alunos estão de acordo com o nível esperado para o ano em que se encontram, para realizar essa análise será feito a tabulação dos resultados que será apresentado em forma de banco de dados e tabelas, e também será realizada a análise descritiva. Também será falado quando e o porquê surgiu esse sistema de avaliação e as mudanças que teve ao longo do tempo