O programa institucional de bolsa de iniciação à docência PIBID na formação inicial de professores de matemática

This research sought to understand the space training provided by Institutional Scholarship Program Initiation of Teaching to a group of students of Degree in Mathematics that had activities developed in the same public school. The goal is to qualify them for teaching practice for these basic institutions. We decided to conduct a qualitative study of type ethnographic case study. For a year and a half while we were at the meetings and activities of the Group, we did what we call as a participant observation. To obtain the data, we used different survey instruments: the researcher\'s field notes through his observation of everyday life of the group, photographs and filming of the activities, document analysis and database produced, physically and digitally, in addition to questionnaires and interviews with records written, which complemented each other and helped establish a triangulation of information collected. We analyze the trajectory of the group on three axes: on the first, we present and understand the paths taken by the Group in the process of setting up training spaces, and production of their professional training, in the second, we analyze how the space of PIBID is being integrated with others spaces of formations in the educational institution of the degree course in mathematics and, in the third axis, we understand the process of knowledge production of that group. The trajectory taken by the group was marked by a process of reflection and discussion systematic and collective, which favored the pursuit for be a better professional and also confirmed a possible path to be followed in initial teacher education.

Necessidades formativas em Matemática representadas nas vozes de um grupo de professoras dos anos iniciais da rede pública de ensino

Teacher training processes, initial and continuing, and professional practice of teachers who teach Mathematics in the early years are highlighted in the literature as complex, but also are regarded as the way to overcome many difficulties in teaching this component curriculum in the school stage in question. The aim of the study was to investigate how the training needs in Mathematics are represented by a group of teachers in the early years of elementary school of public health system of the city of Uberlândia, State of Minas Gerais. The research, qualitative approach, had as object of study the training needs, in Mathematics, of teachers in the early years. The research involved 16 teachers from two schools in the municipal public schools of that city. Data were collected through questionnaires, non-participant observations, semi-structured interviews followed by group and individual. Analyses were performed by means of thematic categories, founded by content analysis. Data interpretation allowed to understand training needs in mathematics that are presented to the collaborating group from their professional practice, considering the knowledge and skills necessary to teaching. It is understood that the teachers of the study group have major limitations in relation to the specific content and didactic knowledge of Mathematics content, however, the concern is that demonstrated not always being aware of it. Moreover, the difficulties experienced in teaching practice proven to be overcome by sources and non-formal training activities, primarily through more experienced colleagues in the profession. Thus, it becomes difficult to think the initial and continuing training courses for teachers without the training needs of the teaching practice is appreciated as an object of study.

Contradições como força de mudança: o processo de formação continuada de professores do ensino médio enquanto potencializador da práxis transformadora à luz da teoria histórico-cultural

The intervention research proposed was based on the Cultural-Historical Theory based on the laws and logic of materialism historical-dialectical. Therefore, we tried to design a research process that involved all as responsible for the process. In the field of continuous teacher's training usually has been found dualistic relationship / paradoxical processes as a result of the adopted training models which are characterized by individualist human processes. The teacher training work sought to overcome this dualism, to promote the unveiling of the contradictions with regard to teaching models. As a hypothesis, we imagined that immersed in this process, teachers recognize such contradictions, and this recognition would make the contradictions become the driving force of change in teaching practice, realizing the teaching-learning-development triad as the basis of praxis. Aiming to develop a process of continuing education to bring results to the professional teachers development looking for answer the following research question: How and what the changes of teachers who participated in the Didactic-Formative Intervention process raised the quality of their teaching practices? In this context, the objective of the research was to develop a process of Didactic-Formative Intervention from the perspective of Cultural-Historical Theory with high school teachers in order to theorize about the changes in pedagogical practices of teachers and learn aspects that transform the essence teaching practice. The research involved two high school teachers of a public school in Uberlândia-MG. The training meetings took place at the school through a collective study group between the years 2013 and 2015. As procedures were used two interconnected aspects: classes observations, and a theoretical and methodological training, both for diagnosis and for the process evaluation, the second aspect has a formative dimension, and a didactic dimension (double meaning) to form didactically the teacher and to elaborate didactic procedures. The collected data were analyzed by observing the assumptions of the method, analysis by units and the processuality. As results teachers showed changes in their teaching practices regarding the organization of the pedagogical work and also centered their design educational actions based on learning and development of the students. The presence of continuous diagnosis during the classes, work with a systems of concepts and their conceptual links, problematization as a teaching method can be pointed as meaningful changes in their praxis. Regarding the training activities that emerged from the analysis of the compiled materials and analyzed throughout the process can be emphasized: forming a collective group of school teachers continuous training, diagnostics, development of practical activities, increase relationships among participants, the choice of scientific material used should have direct relation to the needs of the participants, promoting conditions that enable the emergence of contradictions between the pedagogical practice of teachers and teaching based on the perspective of the Cultural-Historical Theory. This research craved to develop and design a teachers' training processes that increase the quality of teachers life and ways of teaching in the Brazilian public school.

Uma proposta de ensino de frações no 6º ano do ensino fundamental a partir da teoria histórico-cultural

This text presents developed in the Graduate Program in Science and Mathematics Education at the Federal University of Uberlândia, in which it was intended to answer the question: What are the pedagogical implications for the fractions concept learning for students of the 6th grade of elementary school that the teaching guide activities can provide? The objectives of this research were: a) analyze the possible pedagogical implications for the learning of the fraction's concept for students of the 6th grade of elementary school through guiding teaching activities; b) using the conceptual connections of the fraction to enable students to develop an abstract thought and c) investigate whether guiding teaching activities reflect on 'how to think' and 'how to do' of the student. Five teaching activities have been developed (MOURA, 2002) from the perspective of teaching guiding activity (TGA) and had as object of study the teaching of fractions for students in 6th year of elementary school. They have been prepared and proposed activities in which it was intended to investigate the use of history of mathematics as an aid in learning the conceptual fraction links (CARAÇA, 1951) by students. Such activities, for analysis, were organized into episodes and scenes (MOURA, 2004) and discussed how students deal with the measurement of whole quantity (all) and subunits (part); how they represent in verbal or written language. It is hoped that the research is set up as an important contribution to mathematics teaching area and may contribute to the initial and continuing training of mathematics teacher sand the formation of theoretical thinking of elementary school students.

A descoberta do elétron como tema gerador de um ensino de física mediado por experimentação remota

In this work, we have proposed and applied a methodology for teaching electromagnetism, based on an experimental activity and designed in an investigative teaching model, and containing a high degree of dialogism among teachers and students. We have used the discovery of the electron as a generator theme and a remote experiment to determine the charge-to-mass ratio of the electron as an educational resource. Our analyses indicate favorably towards the promotion of ways of appropriation of knowledge by the student, very different from those perceived in traditional expositive classes. Similarly, we find that the presence of a technological resource and an experimental activity create new posture of the teacher in the classroom, probably caused by the unpredictability of the results from the use of such resources. A challenge that we still need to solve is how to engage students in extra classroom tasks, since learning is not only effective in time for classes. We also present the weaknesses detected in our methodological proposal as well as implementations necessary in order to continue the validation process of this methodology.

Luz e vida: uma proposta de formação continuada de professores

The Course “Light and Life”, which is a product of the present research, is a mediator in helping Science Teachers on how to deal with the Physics classes in secondary school. The aim of the present study was to propose a course which can help Science Teachers with their difficulties in the teaching of Physics in the later years of secondary school, mainly about topics related to the theme Light. The elaboration of the product of this research involved structuring and applying a course of continued formation through the “Fun with Science and Art Museum-DICA, under the theme Light, to Science Teachers of the later years of secondary school, in order to promote an environment of dialogue and problem raising as means of disseminating and discussing the teaching of topics related to Light in the teaching of Sciences. The formation course presented a flexible structure in order to widen the relation between the researcher and the teachers participating in the course, aiming to give an answer to the formative needs of the teachers in relation to the theme proposed. In order to know and discuss the problems and challenges of the teaching of Physics in the Science classes, an approach of insertion and integration of concepts related to the theme Light was conducted, mainly on topics relating to the contents of Physics, Chemistry and Biology, according to the curriculum and the abilities of Sciences worked on in class, through the approach of concepts and practice which approximate the practical and theoretical reality of the formative needs of the teachers involved in this study. This work aimed to understand the relation of Science Teachers with the theme Light and comprehend the relation of the teachers with the present proposal of continued formation promoted by the Museum DICA. The methodological option of this research remained in the domains of qualitative research whose analysis was based on the content analysis. The data collection was carried out through questionnaires and group discussions recorded in audio, besides the participative observation of the researcher. As the research product, the structuring and application of a course of continued formation of Science Teachers of secondary school was proposed, under the thematic Light, and a later restructuring of the course under the same thematic based on the data collected after the application of the referred course, which will be later promoted by the Museum DICA.

Formação inicial do professor de matemática com uso de tecnologias da informação e comunicação no contexto da escola pública

This paper intends to analyze which contribution for teachers formative training the participation on extension projects can bring to the bachelors in Mathematics teaching. The research was conducted during the developing of a Project from the Program of Extension - Programa de Extensão UFU/Comunidade (PEIC) in a municipal school located in a country zone from Uberlândia-MG. The research was constituted by a series of activities with students from the ninth year of the Fundamental Education, Middle School. The main focus is the work developed by two bachelors of Mathemactics teaching from the Federal University from Uberlândia who were part of the PEIC team. This present research intends to answer the following question: How the extension project “Information technology and communication on Mathematics problem resolution in country zone schools” has contribited to reinforce and to (re)criate the fomative experiences of students from the Mathematics teaching course who have developed such project? The presente study is from a qualitative nature and has made use of the partaker searching methodology. The presente paper was organized in three chapters. On chapter I evidence is given to theoretical discussion made, having as main references the works of Larrosa, Ponte e Shön. Chapter II brings the description of the three activities that were developed and aplied during the PEIC Project, which are: Problems in the Park, Inaccessible Hight and Lili Game. On chapter III, the data analysis is presented. The data was obtained through instruments of registration such as: camera recording, photografic material, meetings reports, field notes, surveys and semi-structured interviews. The initial hypothesis aim is on the fact that the participation on extention projects during the graduation course can bring rich contribution for the teachers to be, since it’s going to provide the knowledge and chalenge close to the one from the future profession. With the analysis of the obtained results from the colected data, it was possible to conclude that the PEIC has provided the bachelors in Mathematics teching the opportunity of recreate and potenciate their formative experiences. Such opportunity happened in situations that involved, for example, planning makings, development of colective work, softwares usage, different school spaces and the direct interaction with school bureaucracy. Beyond that, it was possible to work with the cocepts of reflection in action in a way to contribute to the professional development of the future Mathematics teachers. Thereby, in our final considerations, is possible to conclude that extension projects performed during the graduation course can bring great contributions to the professional formation of the bachelors in Mathematics teaching, among them we highlight the potentiation of the previous formative experiences and the development of colective work and behavior related to a reflexive teacher.