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.

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.

Práticas de ensino por investigação nas aulas de ciências desenvolvidas nos anos iniciais do ensino fundamental

Acompanha: Material de apoio para os professores das escolas municipais de Curitiba: propostas de práticas de ensino por investigação nas aulas de ciências dos anos iniciais do ensino fundamental.

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.

Telefone celular como recurso didático no ensino de física

Currently, there are several factors that suggest the need for the school to review their teaching practices: 1) the speed with which information and communication technologies - ICT are spread throughout society and in particular the increasing use of mobile phone by groups in school age;2) the scope and power of integrating ICT convergence of these technological resources, that can be used as teaching resources; 3) the fact that nowadays students grow up in a technological world and make their thought patterns operating in accordance with this reality, etc... In contrast, there are educators unrelated to the appropriation of ICT, presenting, in many cases, resistance to them. There is a incongruity between how individuals use mobile phones, for example, inside and outside the school. There are also educators, schools, public educational departments claiming to be against mobile phones usage; bills and laws regulating their use in educational space, etc... For these controversial aspects we have investigated whether cell phone use as a teaching resource practices mediator in Physics teaching. For this purpose, we developed an applied research with qualitative and exploratory approach about the objectives, adopting participant and the technical procedures. A documental and bibliographical research was taken. First of all, data were collected by e-mail, through a multiple choice questionnaire applied to private school teachers in southern Brazil, to identify the researched reality and develop teaching practices likely to be applied in the studied corpus. Then, such practices were applied in workshops located in Curitiba and Ponta Grossa cities, in Paraná state. During the application, data was collected by the researcher's field notes. Then, we recorded chats about the workshops from an instant message software (msn messenger), and we took photographic records. Data analysis was performed by triangulation. The results showed the need to enhance continuing education courses for teachers and the production of national academic literature, such as articles, dissertations, theses and books that explore the theme of the cell phone and its functionality in educational spaces as an educational resource mediator in the practices of teaching Physics. They are available in the dissertation defended in 2012, and now are also systematized in this book, organized as a final product of research conducted by the Graduate Program in Science Education and Technology UTFPR, Campus Ponta Grossa-PR.

Formação do pensamento científico durante o processo de alfabetização científica no ensino de teorias atômicas e elementos químicos

Acompanha: Sequências didáticas para o ensino de teorias atômicas e elementos químicos

O uso de filme como recurso pedagógico no estudo das epidemias: possibilidades na aprendizagem significativa

Acompanha: Epidemias na escola? Só em filmes: possibilidades de contaminação na aprendizagem significativa

Objetos de ensino, suas potencialidades e dificuldades para aprendizagem de física no ensino médio

Acompanha: Procedimento para o uso do Tracker como objeto de ensino, suas potencialidades e dificuldades para aprendizagem de física no ensino médio

Material paradidático em educação ambiental para o 6º ano do ensino fundamental

Acompanha: Material paradidático em educação ambiental para o 6º ano do ensino fundamental

A educação de jovens e adultos e o ensino de ciências naturais: contribuições da utilização dos conceitos unificadores

Acompanha: A educação de jovens e adultos e o ensino de ciências naturais: contribuições da utilização dos conceitos unificadores

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.

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.