Metodologia de ensino do conceito de função exponencial à luz da teoria das situações didáticas

This essay presents a proposal on methodology over the mathematical object Exponential Function which enables the development of interpretative and creative skills with potential meaning to the students starting from a didactic sequence structured on the light of The Theory of Didactic Situations from Guy Brousseau and, from the Records of Semiotic Representation of Duval, providing interactions among the students, the teacher and the environment of cooperative learning where the students feel free to express their own ideas as well as to suggest their own approaches. The methodology presented has been developed according to the students first knowledge, valuing their different ways of registering, which have such an important role during the teaching and learning processes. The proposal has been applied to the students from the first year of high school of Colégio Estadual José de Anchieta Ensino Fundamental e Médio, located in a town called Dois Vizinhos –Paraná. In order to the development of the research the methodological tool Didactic Engineering Artigue which consists in a methodology developed only to the research with didactic situations. The main goal has been reached at first, which was to work on the conceptual part of the Exponential Function, the relation of dependence and its main characteristic so that the variable part is in the exponent. Moreover with no imposition but starting from suitable didactic situations, the students were able to realize that they could solve the problems which involve the exponential function and furthermore create new problems (according to their universe) modeled by this kind of function. Its believed that the methodology based on the theory of didactic situations, analysis of students registers, observation on mistakes and obstacles as well as reflections over the aspects of the didactic contract are of fundamental importance to the teaching practice and determinant during the teaching-learning process.

O ensino da estatística nos anos finais do ensino fundamental

Result of a professional master course of research work in Teaching Science and Technology of the Federal Technological University of Paraná (UTFPR), this work aims to provide the mathematics teacher of the final years of elementary school a teaching sequence (SE) which includes basic content of Statistics provided in the curriculum. In this book a text about the importance of the teaching of statistics is presented, as well as issues related to literacy skills, reasoning and statistical thinking. The development of the SE was designed considering the presuppositions of contextualization, being structured in six steps. We chose to develop a work with the basic contents of Statistics through real data collected with the participation of students, within a context for them significant. This option was due to be possible to develop with the students situations such as: raising hypotheses , communication situations experienced by different graphs and tables , results of discussion and understanding of the significance of the results obtained by means of statistical calculations. Thus, it is believed to be possible to contribute to the development of statistical skills by the students.

O processo de implementação da educação do campo nas escolas do Núcleo Regional de Educação de Pato Branco: limites, desafios e possibilidades

This work is part of the Graduate Program in Regional Development of the Federal Technological University of Paraná, Pato Branco campus, the research line Education and Development. The line of research concerns the Regionality and Development. In this study, investigate sought the implementation of the Field Education Curriculum Guidelines in the State of Paraná, whose locus, SEED / PR, the NRE / Pato Branco and Field Schools belonging to the NRE. The theme is to respond to the research problem, to identify the limits and challenges of the implementation process of Rural Education in rural schools in the Regional Center of Pato Branco Education. Exploratory research covers a time frame comprising the years 2002-2014 in order to identify and analyze the documents and perceptions of the subjects that guide the implementation of the field of education in the state of Paraná. The results show that the education field has not yet overcame the challenge of implementing public policies, in particular the field of Education Curriculum Guidelines. In general, the texts point to the concerned school education with the urban environment, in an attempt to solve the problems related to truancy, low school enrollment,flunk, among others. The reality of the field displays more serious such problems, however, is visible the development of proposals in an attempt to achieve definitive solutions to the issues of the field. However, a positive factor is the increase in continuing education courses, some offered by the Department of Education Field Regional Center of Education, others initiatives by the own teacher, which demonstrate the concern in improving their teaching practices, concomitant with need to change the identity of the field school. In this sense, we seek to deepen the discussion in order to demystify the idea that the subject field to be synonymous with poor education, poor quality. Documents such as the Field Operational Guidelines established by the CNE - National Education Council in 2002, the Curriculum Guidelines field developed by SEED - Secretary of State and Education in the State of Paraná in 2004 and established as a public policy in 2010 provide data that allow make a study of public policy and educational field context in order to understand the challenges for the development of an education as culture, ways of life, history, finally, the specificities of the subject field.

Aspectos do desenvolvimento da experiência docente na educação superior: um estudo sob a ótica da teoria dos gêneros de atividade

This analysis introduces results related to development of teaching experience from two professors of one Federal University who have taken part of one action of continued teacher training. We consider that the interplay among the individual, the language and the world cannot function straightly. It occurs through utterances, defined like real unit discursive communication, and genres of discourse (BAKHTIN, 1979/2011). Along the same line, the relation between the employee and his employment do not occur in a direct manner. This relationship takes place through genres of activity (CLOT, 2008/2010). As well as, a domain of speech genres has given possibility to individual an interaction with several discursive fields, a domain of activity genre allows the professional protruding in difficult situations traced in his employment. We know that the drafting for wield the teaching in the Tertiary Education is recommended by LDBEN (9394/96), which suggests that should be done in postgraduate program. In the mean time, what frequently happens an educational background based in a survey and not in the teaching. Thereby, several times we have observed difficulties in the accomplishment of teaching practice. Considering such aspects, this study seeks to comprehend the manner how the lecturers deal with the difficulties encountered in the classroom and how the years of experience have contributed or not for a domain of activity genre. In this regard, we have propped up in the development approach, introduced by Vigotsky, who asserts that the learning suitably organized results in development (VIGOTSKY, 1984/2007) and still explains the development of individual on the basis of relationship that it has with another, the social (VIGOTSKY, 1996b). For this purpose, were accomplished, by means of a snipped filmed lesson from each teacher, four sessions of self-confrontation (FAÏTA, 1996; CLOT, 2008/2010), two Simple and two Crusade, recorded in a visual format. This material was transcribed in accordance with standards from project NURC-SP (PRETI, 1999). For the analysis, we used three mains theories: of Linguistic, is mobilized the concept of speech genres (BAKHTIN) and all discursive topics (JUBRAN; FÁVERO); from Occupational Psychology, is utilized the activity genres (CLOT); from Psychology Historical-Cultural, is adopted the concept from Zone of Proximal Development and another/social in the development of individual (VIGOTSKY). In compliance with the study achieved, was possible to identify the aspects related to development of teaching experience of Tertiary Education. During the classes and reports of self-confrontation, we identify that both the professors, in the beginning of the career, they got more difficulties to deal with hindrances, and which now, with some years of experience, they get to domain better the difficult situations which they come across. They built up, for example, a greater facility in improvise examples in face of students’ difficulties in the comprehension of concepts. These aspects show that the professors have evolved the higher domain of genre, which allow them getting, in addition to turn the unexpected situation around that spring up in the professional context, as well know how to taking action in similar situation, which they have already run into in another moments. This domain enabled and enables the developing of the lecturers over the course of their professional performance.

Princípios e fundamentos da pedagogia da alternância: alguns desdobramentos atuais

The Pedagogy of Alternation (PA) is a differentiated teaching methodology, originally created to meet the needs that involve the population of the field. Through its educational procedures, distinct from the traditional education, demand, with autonomy, to form children and young people through the articulation of time and space, and involve the family and community in the educational process and in local development. Having been established as an alternative that generated positive results, the PA has expanded the world and today, with the formation of various movements, is present on five continents. In Brazil, there are two active movements using the PA, the Italian, which afforded the EFAs and the French, responsible for implantation the CFRs. Is in this context, the present research is inserted, which the following objective: to analyse the origins, principles and theoretical-methodological foundations of Pedagogy of Alternation and its implantation in Brazil, as well as some of its current unfolding. With this, it takes into consideration, besides the Brazilian movements, those who influenced its origin, the raised in France and the raised in Italy. The study is characterized as a theoretical, qualitative, bibliographic and documental. The data collection was carried out by searching in the CEPAD/UTFPR database and in the web pages of the institutions involved. After the identification and selection of documents and bibliographies, was realized the qualitative analysis of the data. The results indicate that the Pedagogy of Alternation practiced by the Italian EFAs and the Brazilian CFRs has undergone significant changes over time, keeping only firm the principle alternation of time and space, while the French MFRs and Brazilian EFAs, passed by adaptations, but still solid to principles of PA. The survey also showed that the CFRs in Parana are in a situation of instability about their future, since the links with the government are weakened. Thus, the present study sought to reflect on the meaning and the scope of the PA and its foundations that guarantee the autonomy and strength of this methodology in their places of origin. Therefore, the research presents contributions regarding the elucidation about expansion process of the movements in the three covered countries as well as those faced tensions by each and their transformations in order to highlight the importance of PA for education, comprehensive training of young and to development of the middle.

Ensino dos números racionais comparando medidas de unidade

This research aimed to investigate the possibility to develop the process of teaching and learning of the division of rational numbers with guided tasks in interpretation of measure. Adopted as methodology the Didactic Engineering and a didactic sequence in order to develop the work with students of High School. Participated of training sessions twelve students of one state school of Porto Barreiro city - Paran´a. The results of application of the didactic engineering suggest the importance of utilization of guided tasks in interpretation of measure, since strengthened the understanding, on the part of students, the concept of division of fractional rational numbers and contributed for them develop the comprehension of others questions associated to the concept of rational numbers, such as order, equivalence and density.

Representações sociais sobre educação ambiental e objetivações em práticas pedagógicas no ensino fundamental

This work presents results, reflections, conclusions and considerations about the research entitled "Social representations of environmental education and objectivations in teaching practices in elementary school ". She intended to make known research whose objectives were to know the current environmental education framework (EA) developed by the teachers of the early years of elementary school of that city; identify their social representations about EA and the ways in which these representations are objectified in their teaching practices. Thus, the methodology is characterized by the qualitative approach; whose data collection instruments were the Free Evocation Questionnaire (QEV), the semi-structured interviews and documentary research. The QEV consists of free recall questions and essay questions, whose data is quantitative and qualitative. Data from this instrument were analyzed according to the procedures of the Structural Approach to Theory of Social Representations. In turn, the analysis of data obtained through the interview and reading the documents followed the guidelines of the Content Analysis method. The theoretical and methodological basis of this research was the Theory of Social Representations and critical approach to environmental education. Thus, the results obtained in the investigation allowed us to identify the social representations of EA of participants; confirm that such representations are being targeted in their pedagogical practices that are characterized as conservative. Also confirm that the teaching documents of the surveyed network are in line with the official documents on EA; the AE actions developed in the network are referenced in the teaching documents of the network and in the official documents of EA and the EA practices of survey participants teachers relate directly with their social representations on Environmental Education.

Proposta de avaliação de práticas sustentáveis nas operações de serviço em instituições de ensino superior da Rede Federal de Educação Profissional, Científica e Tecnológica

Higher Education Institutions (HEIs) have an extremely important social role, they are responsible for the place where they work and to form citizens who contribute to a fair and cooperative society. Universities can engage with sustainable development in planning, management, education, research, operations, community services, procurement of materials, transportation and infrastructure; this research seeks to analyze the sustainability practices in service operations in the Higher Education Institutions of the Federal Network of Professional, Scientific and Technological Education in Brazil through the development and application of a model called the Sustainability Assessment for Higher Technological Education (SAHTE). To achieve the proposed goal, a systematic survey of the scientific literature on sustainability assessment models in higher education institutions was conducted, making it possible to identify the characteristics and features of existing models. The model was applied through multiple case studies. The proposal compares the sustainability performance of service operations among individual institutions using a common methodology. It presents five areas to be evaluated in the HEI: Governance and Policies, People, Food, Water and Energy, and Waste and Environment, with a total of 134 questions. The need for greater support from the senior management of institutions to formulate and implement policies on sustainable development was identified when the lack of policies on sustainability in service operations was found; initiatives tend to be isolated. The participation of students and teachers in studies on the daily operations of the campus can be expanded and more widespread. The model seeks to evaluate sustainable practices in the service operations of the Brazilian Federal Network of Professional, Scientific and Technological Education; studies related to the evaluation of teaching sustainability are absent and the applicability of the model in private institutions and other countries is needed. The results obtained with the application of the SAHTE model are useful for the preparation and development of policies on sustainable development, especially in the service operations of the surveyed HEI. The results can sensitize staff and students, who can reflect on their roles in the HEI, as well as the community and suppliers.