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.

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.

Percepção ambiental como ferramenta diagnóstica para o processo de integração entre uma unidade de conservação e a comunidade do entorno

It is remarkable the current planet’s situation of degradation and modification of natural assets and the considerable loss of the recovery power inherent to the ecosystems. Concomitant with this, all communities and species are suffering the consequences of these changes without planning. The creation of conservation units (UCs) through the National System of Conservation Units (SNUC) was a concrete action on the deliberateness of halting these processes, which, on the other hand, generated socio-environmental, geo-economical and cultural-political conflict of interests between traditional communities in the vicinity of these units, institutions, governmental entities and society in general. The country’s National Program of Environmental Education (ProNEA) provides the integration of the communities and UCs’ managers in a co-participative administration to solve these conflicts. The principles of Environmental Education (EA) leads the methodology found to change the socio-educational paradigms of traditional teaching, still existing in our society and intrinsically related to environmental problems, which are contrary to the dialogic pedagogy from Paulo Freire, that valorize popular knowledge, pro-active citizenship, as well as contrary to Ecopedagogy, that re-integrate human being on its natural environment, the Earth. One of the tools for starting environmental sensitization is the diagnosis by environmental perception of individuals. In this context, the objective of our work was to identify the environmental perception of Tenda do Moreno community located nearby Pau Furado State Park (PEPF) in Uberlândia – MG. To reach this objective, the research sought, in a first moment, to evaluate the environmental perception of residents of this community through semi-structured interviews applied in their homes and, in a second moment, we evaluated the environmental perception of community’ school students and made Environmental Education intervention activities with the intention to make children aware of the importance of conservation and function of PEPF. Using the Content analysis methodology, we found in nearly 60% of the 118 residents a systemic perception of nature, while approximately 32% expressed an anthropocentric perception. Mixed perceptions were found in 21%. A considerable part of the residents (47 individuals) indicated not knowing the park, although many of them recognize its importance. Among the 46 interviewed students, half expressed an anthropocentric perception of nature, while almost 36% had a systemic view. Seventeen children said they did not know the park and almost half of the students recognize some aspect of the importance of its existence. During the intervention activities, we had huge participation and dedication of students, beyond the massive expression of their personal views and daily experiences. In relation to the ten students that subjected the second evaluation about their environmental perception after the intervention, 80% showed systemic perception and emphasized the importance of conservation and of park. We believe that the continuity of the intervention activities could generate positive perspectives of socio-environmental effective changes in the daily school. Activities lead by Ecopedagogy and that encourage the citizen leadership in the young students are fundamental, while in the community, closer ties and dialog by UC’s managers would be important elements to generate effective change.

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.