Estatística com projetos: uma alternativa de ensino e aprendizagem

This work presents the use of projects as an alternative for teaching statistics, for that it was elaborated a Project that involves the educational socioeconomic reality from the families of the students and built a link between the reality and the scholastic knowledge. This project was applied in Sesi School - Pato Branco between the months of August to September 2014 with 25 students from the 1o and 2o grades from High School. To work the statistics concepts a questionnaire was applied for the parents of the students of the Project´s, they answer it and through these answers the students made frequency tables and graphs, besides measure calculations on measures of central tendency and dispersion measure. All of the construction were realized manually and in the Excel spreadsheet and some of them were chosen to be in this work to with the purpose of showing the hits and the mistakes done. The students worked in groups of 5 students, except in the last class when it was done a test referring to the contents taught in the classroom and a questionnaire for them to evaluate the project´s application. The results show that the teaching of Statistics trough projects motivate the students interest, stimulating the statistical reasoning, in addition made the students know a Math that was different from the one they have already known, with a lot of calculation but with no final objective.

GeoPlexo: um material manipulável para o ensino dos números complexos

This study aims to develop a manipulative material to assist the teaching and learning of Complex Numbers. Primarily, It tries to define the status of the current teaching of Complex Numbers, having as guide the bias of the research produced in dissertations and published on the website of Capes and the Virtual Library of Profmat from 2004 to 2014. It presents historical aspects of the theme, a mathematical foundation and a discussion of the use of manipulative materials as teaching resources for the teaching of mathematics. It introduces the manipulative material called GeoPlexo and a sequence of activities of potentiation and settling of complex numbers, explaining its use. It concludes with the importance of manipulative materials as a teaching resource for the teaching of Complex Numbers, especially regarding the geometric visualization of this mathematical object.

Educação financeira no ensino médio: uma abordagem por meio da análise de produtos financeiros com ênfase em consórcios

This paper presents a differential approach of financial mathematics developed in high school, focusing on financial education. We seek through the insertion of texts, analysis of some financial products and by the interpretation of problems to contribute to the financial training of students. Aiming to make financial mathematics more attractive and accessible to the day-today, there are available for studies some practical tools like the citizen calculator which are available for computers and mobile phones. As well as spreadsheets and software Geogebra, that allow you to compare and analyze the financial costs of consortia, financing and financial applications,in addition to being allied in the preparation and control of personal and family budget. By applying the teaching sequence proposed in a nocturnal class of high school, we realized some difficulties that have limited the financial learning of math concepts.Yet identified progress regarding the financial education of students. These observations were made through qualitative and quantitative analysis from notes in the field diary and also answers given by students in specific form.

Proposta de ensino de geometria euclidiana plana para o sexto ano do ensino fundamental sob a ótica do raciocínio lógico-dedutivo

This study will introduce a brief history of the Geometry development, focused in the appearing of the organization in the logical deductive structure achieved by Euclid. Following will be discussed the situation of the learning and teaching of geometry topics since antiquity until the present day, where we will notice that it does not happen with the logical-deductive perspective. After this contextualization, we will propose the realization of a geometry workshop for students of the sixth grade of elementary school, focusing to the development of logical-deductive reasoning. Applied to workshop, changes were observed in the organization of thought of the participating students in the research, furthering the understanding of the concepts and properties of flat euclidean geometry.

Construções geométricas como recurso pedagógico no ensino médio

This work aims to provide high school students an development in his mathematical and geometrical knowledge, through the use of Geometric Constructions as a teaching resource in Mathematics classes. First a literature search to understand how it emerged and evolved the field of geometry was carried out and the Geometric Constructions. The ways in which the teaching of geometry happened in our country, also were studied some theories related to learning and in particular the Van Hiele theory which deals with the geometric learning also through the literature search were diagnosed. Two forms of the Geometric Constructions approach are analyzed in class: through the design of hand tools - ruler and compass - and through the computational tool - geometric software - being that we chose to approach using the ruler and compass instruments. It is proposed a workshop with nine Geometric Construction activities which was applied with a group of 3rd year of high school, the Escola de Educac¸ ˜ao B´asica Professor Anacleto Damiani in the city of Abelardo Luz, Santa Catarina. Each workshop activity includes the following topics: Activity Goals, Activity Sheet, Steps of Construction Activity Background and activity of the solution. After application of the workshop, the data were analyzed through content analysis according to three categories: Drawing Instruments, angles and their implications and Parallel and its Implications. Was observed that most of the students managed to achieve the research objectives, and had an development in their mathematical and geometrical knowledge, which can be perceived through the analysis of questionnaires administered to students, audio recordings, observations made during the workshop and especially through the improvement of the students in the development of the proposed activities.

Programa Etnomatemática: ponderações da prática pedagógica

The aim of this present work is investigating the interest and motivation for learning, awakened in pupils when the educator practice is guided by the ethnomathematics perspective. The main question is: Can an ethnomathematic approach awaken enthusiasm in pupils, causing it to become more critic and active in building their knowledge? The methodology that guides the investigation is qualitative, based on technical arising of the ethnographic case study. Theoretical contributions that support the investigation are from the scientific methodology and from ethnomathematics. The research material is composed by: researcher’s field diary, audio recording of participant observation, interviews reports of community residents and students parents, highlighting the material produced by students. This study was developed on an 8º year of high school of rural community. During the work were prioritized the ethnomathematics concepts of the Ethnomathematic Program, which establish a link exchange, where the lecturers inserts themselves on the reality of pupils in a way that promote an appreciation of their identity and a commitment to their learning. The educator investigates and values the ideas of pupils throughout dialogues. There are challenges for the application of education with ethno mathematic perspective, pointed out by authors, listed and supplemented in the research. In this context, it is believed that the socio-cultural knowledge must be respect, and as they are understood their specialties, capabilities and characteristics, this can guide teaching practice, making significant process for pupils, providing appropriation of scientific knowledge. Analysis of research practice indicated that students, research subjects, when they decided contextual issues, with their way of life, felt appreciated. The conclusion is that, with continuous action of contextualized of school mathematics, from the recognition of the environment and of cultural identity, the educator has the opportunity of review their own participant condition, and therefore promote an enthusiasm for learning. Because a motivated pupil becomes active, since that the all project is guided in a significant theme.

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 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.

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.

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.

Concepções de interdisciplinaridade: o Programa Ensino Médio Inovador

The Interdisciplinary practice opens in the context of Basic Education guiding new looks in the production of knowledge. It is necessary to reflect the interdisciplinarity as scientific and epistemological stance and its conditions of possibility of expanding the horizon before the theoretical and methodological challenges posed by modernity. Thus, this work aimed to analyze interdisciplinary concepts present in the proposal of the High School Program Innovator. Therefore, the theoretical route initially had the search for understanding of high school in Brazil, interdisciplinarity as the possibility of tensioning the production of scientific knowledge, mainly anchored in the studies of Acácia Kuenzer, Dermeval Saviani, Boaventura de Sousa Santos, Claude Raynaut, Henrique Leff and Edgar Morin. The study was methodological subsidy document research and principles of content analysis. The analysis took place from the seven documents that make up the construction path of High School Program Innovator and a semi-structured interview. So, we sought to understand the concepts of the documents establishing analytical categories from more evoked content. In this process identified three categories with regard to the construction of the Program proposal: pedagogical innovations, curriculum organization and teaching quality and three categories with regard to interdisciplinary concepts present in the program: dialogue between curriculum components, joint knowledge and role of high school students. From the studies it was observed that the program came up with the prospect of directing a new identity for the final stage of basic education, listing Documents Guiding Plans and actions for a new curricular organization of secondary education. It was noted that the Program, though explicit in its guiding documents of the interdisciplinary perspective, in no time he calls himself as interdisciplinary. Interdisciplinary actions should run or from school understanding, as well as the preparation of the Redesign Project Curriculum encompassing dialogue between disciplines. Realized by the analysis of the guiding documents is a back program even for a technical rationality practiced by the particular understanding of the school and the practice being expressed from the same concepts that high school is developed, with each teacher teaching the contents of their disciplines and performing cross designs. Break the existing paradigm is still one of the challenges to the teaching-learning process. Break the existing paradigm is still one of the challenges to the teaching-learning process.

Internacionalização da educação superior: estratégias e ações da Universidade Tecnológica Federal do Paraná

The present dissertation is inserted in the internationalization of the university-level education research field and aimed to analyze the strategies and internationalization actions of the Universidade Tecnológica Federal do Paraná (UTFPR), locus of research. The study sought to establish the current context in which the internationalization is inserted and contextualize the research problematic presenting definitions, concepts, reasons and strategies linked to an international dimension. It also presents a historical context of the internationalization of Brazil and current public policies related to this topic. This research used content analysis to analyze institutional documents (Institutional Development Plans (2004-2017) and Management Reports (2000-2014)); semi-structured interviews (Director of International Relations, Coordinator of programs and actions related to the mobility of students, Head of the Department of Education and Dean of Research and Graduate Studies); information pertaining to the theme from the university’s website and events held in the Campus of the institution. Data were analyzed using the procedures prescribed for this type of analysis with the establishment of three categories: concepts, strategies and actions. Based on the foregoing, in terms of synthesis, could be understood that increasing the participation of UTFPR on the international scene has always been linked to the institution’s policies and goals, yet without an political institutional plan without objectives, strategies and goals established systematically. In the case of the conception of the internationalization of UTFPR it was realized that the theme currently gained more focus and greater coverage in the institution. In this context, Ciência Sem Fronteiras program contributed to, giving greater visibility to UTFPR on the world stage. From then on, specific strategies and actions are being developed in seeking internationalization under institutional perspective, of the servers, the expansion of mobility, and greater visibility of the institution in the international arena, regional integration and promotion of internationalization at the university. Overall, the management of internationalization in the institution does not have a formal project, but has specific strategies and actions seeking their expansion. Thus, the process of internationalization in UTFPR presents itself in an early stage, with strategies and actions seeking to expand the international dimension in the institution who takes singular importance to its expansion and consolidation.

Cultivo artesanal do cogumelo Shiitake: uma potencial atividade para agroecossistemas sustentáveis

Edible mushroom cultivation has been gaining ground in the agricultural environment throughout the country, creating a new product option in the food market. This activity is linked to cultural and artisanal management with environmentally sustainable principles and generates income for small farms. In this context, the present study evaluated the potential for artisanal cultivation of Shiitake as an activity for sustainable agroecosystems. Initially, the historic of implementation and evolution of artisanal cultivation of Shiitake mushroom on properties considered models in Pato Branco, Guarapuava and São José dos Pinhais (Paraná) and Frei Rogerio, (Santa Catarina) were carried out. Consequently, a comparative analysis between the cultivation systems of these properties and the use of small wooded areas and reforested areas was conducted. Aspects of production, income and pluralism of the farms, were also performed. At the end, the nutritional quality parameters of mushrooms produced in different properties were evaluated. The results show economic potential in Shiitake production. The activity also has potential for the sustainable exploitation of native forest and reforested areas, contributing to the optimal use of physical space small properties. In artisanal cultivation of Shiitake there is a systemic interaction verified by the use of wood from the same farm, assisting in the renewal of biomass of the agroecosystem. Finally, it was found that mushrooms produced on different substrates used in the studied properties have high nutritional quality. Shiitake samples exhibited high contents of protein, fiber, minerals and low fat content.

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.

Capital social e ações conjuntas: um estudo de caso no arranjo produtivo local de vinhos de altitude catarinense

The general goal of this study was to analyze the relations between the agents’ social capital and joint actions developed by the Cluster of wine produced at the high altitudes of Santa Catarina. This group is made up of 43 agents: one governing agent, 26 support agents and 16 winemakers. This descriptive and exploratory study uses data from qualitative and quantitative approaches. During the exploratory phase, a documental analysis was carried out, as well as semi-structured interviews. The data collection tool used to gather information concerning the social capital and joint actions was the semi-structured questionnaire, and this data gathering was conducted through field research using a structured interview with the selected agents from November 16 to November 26, 2015. The results of this study show a good social capital, which reflects on the joint actions done by the agents. Among the variables of social capital, trust shows a great level among the Cluster agents, followed by good levels concerning commitment and involvement, information share, rules and sanctions, horizontality and authority and improvement. As a result, it has created a nice level of involvement and effectiveness of joint actions, highlighting events organization, joint participation at fairs and events, marketing campaigns, development of products and processes, and human resources improvement. There is a small group of agents who show a strong social capital and a proper environment to expand this capital throughout the network. However, the evaluation concerning reciprocity and density represents only one third of the possibilities of this group, and it happens especially because of the geographical distance between the agents who are part of the Cluster. The main limitation of this study was the trouble trying to map the whole agent group before applying the questionnaires and identifying the responsible people in each of the support agents to inform everything correctly. It is suggested that these questionnaires be carried out with other Clusters as well as in the future in order to have a temporal assessment of this study.