O ensino de matemática: uma proposta para a aprendizagem dos números

The objective of this study is an analysis of the actions of teacherand students when inserted in the teaching-learning in mathematics classes in a class of third year of elementary school. A didactic proposal construction, was developed taking into account the history of the number as a human, considering its evolution through its conceptual nexus, so that the teaching-learning process would enable the construction of theoretical thought. This paper presents a brief study of teacher education, specifically early carrer, basing themselves in difficulties and knowledge of teaching practice and curriculum framework that guided the didactic proposal. Thus, not only students but also teachers are undergoing training. From the study for the preparation of didactic proposal, the proposal development process in teaching and learning skills and analysis of actions, it was possible to follow the movement of formation of a teacher-researcher in early carrer

Uma análise fenomenológica do uso de jogos e materiais manipulativos no ensino de matemática

This work investigates the reasons that take teachers to use or not use manipulative materials in mathematics education as well as the knowledge that teachers of Basic Education schools of the city of Guaratingueta have about such resources. The experience in the classroom, while participating in projects, showed that these resources are important allies in knowledge production. However, we noticed that they are not often present in the teachers teaching practice. This leads us to investigate the relevance of such education resources from authors like Grando (2000) and Macedo (2012) and try to see the idea that math teachers have about their use. For this research we developed a questionnaire and we headed teachers to obtain data. Assuming a posture qualitative with phenomenological approach, organized researched data and interpreted following the procedures described by Bicudo (2011) and Machado (1994). We built three categories or regions of generality that lead us to consider that, for our research subjects, the use of manipulative materials is significant as Didactic Resources and Learning Aid, however, used from a Naïve Knowledge that does not involve reflection on practice or relies on theoretical concepts

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

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

Windows into Elementary Mathematics:Alternate public images of mathematics and mathematicians

Research on students’ (and teachers’) images of mathematics and mathematicians reveals a number of stereotypical images, most of which are negative. In this paper we present an overview of some these images and stereotypes and consider the questions: (1) how might the image of mathematics and mathematicians be a problem in mathematics education, and (2) what can be done to remedy the situation? Also, we consider an outreach project called Windows into Elementary Mathematics. In this project mathematicians are interviewed about their perspectives on elementary mathematics topics and their interviews are videotaped and are posted online, along with supporting images and interactive content. In this context we consider the questions: (3) what is the Windows project about, and (4) how might it offer an alternate (and perhaps better) image of mathematics and mathematicians? Lastly, we share an example where activities from the project were used in a math-for-teachers course.

Online distance mathematics education in Brazil: research, practice and policy

In this article, we address online distance mathematics education research and practice in Brazil, which are relative newcomers to the educational scene. We present the national context of education in Brazil, highlighting the organization of the educational system, and also a summary of national legislation on distance education and an overview of digital inclusion in the country. We outline the potential and relevance of distance education for the Brazilian educational system and show how it could intervene in the system. With respect to research and practice in online mathematics education, we present support for research, examples of studies and highlight different aspects being addressed, including its essential components. In addition, we discuss the synergy between distance education and teacher education, and mathematics distance education and modeling, as well as other initiatives in the national scenario.

The Didactic Transposition of the Photoelectric Effect in High School Brazilian Physics Textbooks

É notório que o livro didático desempenha um papel fundamental na prática pedagógica da maioria dos professores de Física constituindo importante fonte de referência para professores e estudantes. Ao mesmo tempo representa a memória impressa das demandas e paradigmas de ensino, e procura atender às exigências prescritas na legislação e diretrizes, de uma determinada localidade e período. Atualmente, a inserção de Física Moderna e Contemporânea no currículo do Ensino Médio brasileiro está entre as prioridades, preconizando, entre. outros, o ensino do efeito fotoelétrico, em função da relevância do fenômeno ao corroborar a interpretação corpuscular da natureza da luz, e o consequente laureio de Albert Einstein com o Prêmio Nobel. Estudos realizados apontam que muitos dos livros didáticos apresentam a história do efeito fotoelétrico de maneira superficial ou errônea, e expõem incorretamente a função trabalho e o conceito de fóton (Klassen, 2011). Tendo em vista o exposto, objetivamos analisar como ocorre a apresentação do efeito fotoelétrico especificamente em dez coleções didáticas brasileiras aprovadas pelo Programa Nacional do Livro Didático do Ensino Médio 2012 do governo federal, tendo como aporte teórico as considerações de Yves Chevallard (Brockington e Pietrocola, 2005). Procuramos resposta para a seguinte pergunta: Quais são as transposições ocorridas na apresentação do efeito fotoelétrico (saber sábio) para se tornar o saber a ensinar em materiais escolares? Nossa análise centrou-se no processo de descontextualização, entendido como o processo pelo qual o saber sábio passa para que seja ensinável, sendo necessário que seja arrancado de seu contexto original, ou seja, o seu processo histórico.

Memórias das aritméticas da Emília: o ensino de aritmética entre 1920 e 1940

Pós-graduação em Educação Matemática - IGCE

Ideologia industrial x cultura rural: o método SESI de ensino em uma escola rural

This study compares two educational practices: the Rural School method (Escola do Campo) and the SESI teaching method, suggesting that the latter one is inefficient when applied to rural schools, as illustrated with a case study of a rural school that was obliged to adopt this method in 2012. The epistemological basis of a dialogical pedagogy for rural education has been used in order to criticize the practices of a method whose origins in the industrial ideology and in consumerism promotes a true cultural invasion, according to Paulo Freire, hindering the students' dialogues with respect to the ways of life in rural areas and in towns – an interaction that assured school performance in the previous educational system, which has been arbitrarily discontinued by the political power. Different surveys were used in this study for both compared cases, specially dissertations that have evaluated the Rural School project (Projeto Escola do Campo), adopted in Araraquara in 2004, a dissertation about the SESI teaching method that has discussed its new didactic material and, also, an evaluation of the contents of a representative sample of textbooks of History, Geography, Sciences and Mathematics for the 6th grade of elementary school. It is a theoretical text, not an essay, considering that it is based on concrete situations, which were explained using researches on the implicit themes and summarizes the analytical procedures that have allowed to unveil, in the textbooks prepared by SESI, the stimulus and the valorization of consumerism, without any criticism and environment concerns.

Os limites e as possibilidades de uma sequência didática: o conceito de proporcionalidade e a aprendizagem de alunos do 5º ano do Ensino Fundamental

This study aimed to analyze the limits and possibilities of a didactic sequence, addressing the concept of proportionality in the learning of students in 5th year of elementary school. From the results of the Diagnostic Assessment Initial applied to students in a class of 5th grade of elementary school, we selected eight (8) students who participated in the constituent activities of that instructional sequence. For the development of this sequence were used theoretical elements of Genetic Epistemology (Piaget, 1990), the theory of fields of Conceptual Vergnaud (1996) and the definition of instructional sequence proposed by Zabala (1998). Finally, after 20 days of application of these activities, we applied the Diagnostic Assessment Final aimed at investigating which concepts related to proportionality were built by the participating students. By analyzing the collected data, it can be concluded the following about the possibilities of teaching sequence: 1) students who, in Diagnostica Home Assessment used the multiplication algorithm, but also did not indicate the comparison between quantities are now performing; 2) students who, in the Diagnostic Assessment Initial, used the addition algorithm, now gradually are using the multiplication algorithm; 3)students who, in the Diagnostic Assessment Initial, could not solve problems involving the idea of proportionality, are now resolving, however, still use, in large part, the addition operation as a strategy for this proportional thinking. Now, in relation to the limits of the sequence noted: 1)time sufficient to propose a higher number of problem conditions to be carried by students who may have been a trigger of construction have not through the proportional multiplication;2)the distant proposition situations of assimilation schemes (interpretation) of the students, which may have caused certain imbalance in them, preventing them from thinking about the problem situation;3)the rapid passage of...

Situações didáticas no ensino de geometria com o aplicativo GeoGebra

Pós-graduação em Matemática - IBILCE

Atividades com robótica educacional para as aulas de matemática do 6. ao 9. ano do ensino fundamental: utilização da metodologia LEGO® Zoom Education

Pós-graduação em Matemática - IBILCE

Cônicas: Situações Didáticas para o ensino médio

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Uma abordagem didático-pedagógica do cálculo diferencial e integral I na formação de professores de matemática

Pós-graduação em Educação Matemática - IGCE