Propriedades dos sistemas de numeração: uma sequência didática em uma abordagem histórica

This paper aims to describe the construction and validation of a notebook of activities whose content is a didactic sequence that makes use of the study of ancient numbering systems as compared to the object of our decimal positional numbering system Arabic. This is on the assumption that the comparison with a system different from our own might provide a better understanding of our own numbering system, but also help in the process of arithmetic operations of addition, subtraction and multiplication, since it will force us to think in ways that are not routinely object of our attention. The systems covered in the study were the Egyptian hieroglyphic system of numbering, the numbering system Greek alphabet and Roman numbering system, always compared to our numbering system. The following teachung is presented structured in the form of our activities, so-called exercise set and common tasks around a former same numbering system. In its final stage of preparation, the sequence with the participation of 26 primary school teachers of basic education

Uma proposta de ensino para o nível fundamental a partir das concepções sobre insetos

O presente trabalho consiste em uma investigação acerca das concepções de estudantes sobre o que é um inseto. Partiu-se do pressuposto de que os alunos expressam concepções errôneas no momento de identificar os representantes do táxon Insecta e que isso é consequência das experiências do cotidiano e de erros conceituais oriundos da formação escolar incorreta. Os objetivos deste trabalho foram investigar sobre concepções alternativas acerca dos insetos com alunos do ensino fundamental II e propor situações para promoção de uma aprendizagem mais ativa. Os dados para analise foram coletados em três turmas de escolas diferentes: uma escola em Nova Parnamirim, da rede privada, e duas da rede pública municipal de ensino: uma do município de Natal/RN e a outra do município de Parnamirim/RN. Utilizou-se como instrumento um questionário aplicado em duas fases. Na primeira etapa foram feitas três questões abertas e duas fechadas. Na segunda, aplicaram-se mais três questões. Nesta oportunidade foram apresentados aos alunos uma lista com imagens de insetos e animais considerados não insetos. Os resultados dos questionários mostraram que os alunos apresentaram na sua maioria, 62%, sentimentos negativos sobre os insetos, expressos por palavras depreciativas, entre elas: nojentos, feios, asquerosos, perigosos, sendo estes mais da metade dos alunos da amostra. Sentimentos positivos representaram 20%: fazem bem ao homem, Deus criou, são bons, são bonitos, e 18% apresentaram neutralidade nessas categorias. Outro resultado apresentado foi que 82% generalizaram os animais artrópodes como sendo insetos. Como forma de resolver problemas relacionados as concepções uma unidade didática foi aplicada em uma das escolas envolvidas na pesquisa, validando assim um instrumento pedagógico que incluiu atividade lúdica constituída de um jogo de tabuleiro proporcionador de uma vivência de aprendizagem focada em conceitos científicos sobre os insetos fáceis de serem apreendidos

Atividades estruturais de equações polinomiais numa abordagem histórica por meio de e-book

The present study investigates how the inter-relationship of the content of polynomial equations works with structured activities and with the history of mathematics through a sequence of activities presented in an e-book, so that the result of this research will proceed will result in a didactic and pedagogic proposal for the teaching of polynomial equations in a historical approach via the reported e-book. Therefore, we have considered in theoretical and methodological assumptions of the History of Mathematics, in structured activities and new technologies with an emphasis on e-book tool. We used as a methodological approach the qualitative research, as our research object adjusts to the objectives of this research mode. As methodological instruments, we used the e-book as a synthesis tool of the sequence of activities to be evaluated, while the questionnaires, semi-structured interviews and participant observation were designed to register and analyze the evaluation made by the research, participants in the structured activities. The processing and analysis of data collected though the questionnaires were organized, classified and quantified in summary tables to facilitate visualization, interpretation, understanding, and analysis of these data. As for participant observation was used to contribute to the qualitative analysis of the quantified data. The interviews were synthetically transcribed and qualitatively analyzed. The analysis ratified our research objectives and contributed to improve, approve and indicate the use of e-book for the teaching of polynomial equations. Thus, we consider that this educational product will bring significant contributions to the teaching of mathematical content, in Basic Education

Obras complementares: um elo entre a leitura e os conteúdos matemáticos

The Federal Government through its Plans and Programs invests in various policies intended to achieve the main goal of the millennium, provide basic education for all. Among them, we highlight in this paper The National Textbook Program, with emphasis on Complementary Works. These works are presented through different genres, such as poems, poetry, short stories, parables, novels, literature, educational materials etc.. providing a range of possible teaching work. However, little is known about the levels of education of teachers as intended. Based on the discussions and studies in this direction, sparked concerns us in the process of teaching and learning in math classes. This made us pay attention to a possibility of study where reading could be included in this process. In this sense, the present study aims at investigating the potential of conceptual and didactic use of Complementary Works on developing the skills of reading and writing mathematics of the first three years of elementary school, and from there, propose a courseware with guidelines for use of these works by teachers of 1st to 3rd year of elementary school. For this, we outline the issues of reading and understanding of mathematical interests as those of our study. In this sense, the proposal was built from the bibliographic works that address the contributions of reading for learning mathematical content, like Machado (2001), Nacarato (2009); Dantas (2011), Smole and Diniz ( 2001). As a result, we created the Guidance for the use of Complementary Works for Teachers to Teach Mathematics with a view to support the practice of teachers and future teachers who teach mathematics. Supported the use of Complementary Works, especially those distributed in public schools by the National Textbook - PNLD and have mathematical content, this guide is intended to present some of the possible use of this feature in math classes. (Education Observatory - Capes / INEP. Ed. 038-2010. TELL Research Group - UFRN - PPGED / PPGEL / PPGECNM - PROPESQ)

História da ciência como estratégia didática no ensino médio: um breve olhar de conteúdos da óptica

From a critique of aspects of the current teaching of physics, we propose in this paper an investigation into the conceptions of Nature of Science (NOS) submitted by students from the high school level, as well as the inclusion of discussions about some elements of NOS, through the History and Philosophy of Science, understanding them as facilitating strategy for more effective learning of Physics and, more specifically, the contents of optics. Based on the historical period corresponding to Greek antiquity to the mid-nineteenth century, built and applied a teaching unit to a high school class at the Federal Institute of Education, Science and Technology of Rio Grande do Norte (IFRN) Ipanguaçu campus. Our teaching unit involved the reading and interpretation of texts with historical content, observation and assembling five experimental activities, among other activities. Data analysis occurred through questionnaires investigative applied before and after the completion of the teaching unit, as well as questionnaires for content present in the texts. Although not significant, the results indicated that the application of the teaching unit allowed the (re) construction of some conceptions about NOS targets students present in our work, and contribute to a better learning content and greater optical science approach and its nature

Ensinando sobre a natureza da ciência: uma abordagem explícita e contextualizada a partir da história do vácuo

In last decades, the importance of including the contents of the Nature of Science (NOS) in Science Education has been emphasized. Several studies have focused on investigating the conceptions of NOS, supported by students and teachers, as well as design, implement and evaluate proposals that aim to provide a reflection on this theme in the educational context. Considering the complexity of such content, studies indicate the need for explicit and contextualized approaches and the History of Science (HS) is one of the possible paths to this inclusion. We started from the premise that, through a historical study, that aims to discuss the meaning and the basis of our "beliefs", we can know the process of building on what we "believe" and better understand its meaning. This thesis is part of this perspective, proposing to explore the History of the Vacuum, a themed high didactic potential still little used, in order to collaborate with the teaching content of NOS. We present actions on different fronts that originated three products in the context of this research. On the first front, we insert the research and production of instructional materials (three historical texts) to subsidize people interested in the implementation of HPS for educational context through this material. The relevance of this front is justified by the existence of gaps with regard to the production of such material for the context of teacher training. However, we consider that the preparation of instructional material of good quality and accessible does not guarantee that these resources will be used, if they will not be accompanied by discussions in teacher training, on how to use them, contexts and obstacles to be faced. The second part presented refers to the organization and implementation of a workshop for undergraduate students in physics and physics teachers, considering the instrumentalization of these individuals to the preparation and use of teaching strategies to approach aspects of NOS through episodes of History of the Vacuum, as well as the preparation of the text orientation for people interested in implementing the instructional material for secondary education. This guidance text contemplates the difficulties anticipated by the literature of the area and the main challenges faced by the participants about the didactic transposition of HPS for the educational context they were noted during the workshop. The relevance of this second front, in particular, is justified by the existence of gaps with regard to the inclusion of the theme of NOS and the HPS teacher training

Citologia: uma proposta formativa na EaD - UFRN a partir de concepções alternativas

Learning difficulties can have a direct influence on the teaching-learning process of students by reducing their school performance. One factor that may contribute to this negative influence on learning refers to the presence of alternative conceptions, which may have different origins in the educational process. It is of paramount importance, for teachers, for example, to identify the concepts and the difficulties of their students in order for that knowledge can be able to contribute significantly to improve the teaching and learning process. From the following considerations, the present study (still in progress) aims to investigate aspects related to the concepts and difficulties of graduating students in relation to the contents of Biology. The participants of the research were undergraduate students in Biological Sciences from UFRN, studying by Distance Learning (Educação a Distância). To develop the survey, questionnaires were developed to identify the contents in Biology that these students have more difficulties as well as an interview to raise misconceptions regarding the content of cytology. Another tool developed was a textbook evaluation form, which was applied in conjunction with a questionnaire in workshops (short courses) in order to identify possible errors and mistakes that could jeopardize the process of teaching and learning, such as the importance that these learners assign to textbooks in the educational process. From the data collected, a booklet on the content of cytology was developed as a product. It is expected that it can be applied in classrooms in order to improve the teaching and learning in references to Biology, to minimize, for example, alternative conceptions than can occur related to the theme

A fotossíntese vegetal no 3º ano do Ensino médio: concepções alternativas, erros conceituais e uma proposta de unidade didática baseada no Desenvolvimento Sustentável.

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

A etnomatemática dos trabalhadores das cerâmicas de Russas-Ce e o contexto escolar: delineando recomendações pedagógicas a partir de uma experiência educacional

It is still common among contemporary educational proposals an overemphasis abstraction, to the formalism and symbolism of mathematical knowledge at the expense of the sociocultural aspects of Mathematics. Coming up by questioning some academic mathematical tenets and valuing knowledge developed in different sociocultural contexts within Mathematical Education, the Ethnomatematics is consolidating itself as a research field. Despite its contributions to the educational context, because its philosophical character and the paucity of debates about the subject, the implementation of educational proposals for basic education are scarce. Given this situation, this dissertation comes up with a view to develop an educational intervention in the light of Ethnomathematics in a class of 6th grade of an elementary school from a red ceramic industries workers community, located in a countryside from Russas-CE and from this intervention, to develop a set of pedagogical recommendations aiming basic education teachers. Adopting a perspective of qualitative research, particularly guided by action research, this study used observation, field diary, interviews and activities with students as tools for data collection. It was found that the use of field research as part of teaching and learning favored the placement of students as critical subjects of their own reality . Furthermore, the educational experience culminated in the development of a method of teaching based on a relationship between protocooperational Ethnomatematics and the Resolution of Problems. It is necessary to broaden the debate about the ways in which the Ethnomatematics can contribute to the school context, bringing proposals closer to the reality of basic education teachers in order to help the promotion of an education which values cultural diversity without taking away the students from the access of the academic knowledge

História da matemática na formação do professor: dificuldades e sugestões

This work is the result of a study that aimed to start scoring difficulties that the math teacher is trying to get a historical formation. Considering that the textbook is the material with which the teacher has more contact, start with reading historical texts present in these books. Choose a theme and choose from that we observed limitations ranging from the search for sources of research in relation to the actual historical content. There are many studies that show the importance of the history of mathematics in teacher education and also in the teaching and learning of mathematics. These works , in particular the work of Feliciano (2008 ) entitled : " The use of history of mathematics in the classroom " , along with the information , experiences and opinions given by Professor Anderson Luís de Azevedo Paulo , in some meetings , point to need for materials for teaching , since they show that recognizes the importance of this knowledge and the ability to use it in the classroom , but several factors have pushed aside , even the texts present in textbooks. From the analysis of some of the work and contributions of Professor Anderson Paulo we pointed out some of the factors that make historical texts being ignored by teachers and among them are characteristics in appearance and content in the text. To assist in the preparation of materials that meet the expectations of the teacher, we present a manual with suggestions and / or features to choose or produce a good text. These suggestions can make the history books more enjoyable and thus approach the teacher of historical knowledge and later encouraged to seek, in fact, a historical formation

Contribuições de uma unidade de ensino potencialmente significativa UEPS para o ensino de ecologia em escola pública da educação básica

The research aims to evaluate the contributions of a teaching unit to enhance the learning contents ecological green areas in elementary school. The work was conducted with elementary students in a public school in Natal-RN. We sought to identify the students´ previous knowledge about the contents of ecology, develop and implement a Potentially Meaningful Teaching Units PMTU; assess learning of ecological concepts in Teaching Unit Potentially Significant; assess the contribution of interpretative trail as strategy teaching to learning content ecology. The survey of students´ previous knowledge through the pre-test was essential to identify the appropriate subsumers and partially correct, since they served as "anchor" for further expansion of scientific concepts contained in this research. The green areas of the school as an educational, contributed the motivational aspect, as students were protagonists throughout the entire process of teaching and learning. The method of stimulated memory was effective to evidence learning ecological concepts in interpretive trails. The use of diverse activities organized on a PMTU promoted intellectual autonomy of the students and facilitated the acquisition of new meanings through progressive differentiation, and integrative reconciliation consolidation of ecological content and concepts related to biotic and abiotic factors on the basis of the central ideas thematic Life and Environment. The development of procedural skills to capture and share meanings, observe, collect and record data, hypotheses, ability to explain, to apply knowledge to solve problem situations, argue, identify, compare, differentiate and relate concepts, negotiate meanings, reflecting Critically, systematize data was evidenced. Collaborative activities promoted the incorporation of attitudinal contents as developing respect for differences, learn to work in teams to plan, develop and implement actions together for citizenship and environmental responsibility. The application of the Potentially Meaningful Teaching Units PMTU showed evidence of Critical meaningful learning ecological concepts covered in elementary school.

Dificuldades de aprendizagem sobre conceitos de genética no ensino fundamental

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Fontes primárias da história do vácuo e da pressão atmosférica na sala de aula: cartas e jornais históricos em articulação com o livro-texto do ensino médio

The use of the History and the Philosophy of Science (HPS) for the teaching of science and scientific subjects has been advocated in recent decades. It has been pointed out that the History of Science could make for a deeper learning of scientific concepts, since it would promote a contact with the problems which that knowledge has set out to solve. Furthermore, historical episodes would serve to put the discussions about the nature of scientific knowledge into context. With a view to explore those potentialities, the literature in the field has sought to identify the challenges and obstacles for the didactic transposition of subjects from the History of Science. Amongst many aspects, the deficiencies in the training of teachers, so that they can work with the insertion of HPS in the classroom have been highlighted. Another aspect that has been mentioned to be a challenge has to do with the didactic transposition of the Primary Sources, that is, of the original texts on the History of Science. The Primary Sources have significant potentialities: making a connection possible between scientists and concepts, showing the difficulties faced during scientific endeavors, perceiving the role of mistakes as obstacles to be surpassed, not as defeat, etc. On the other hand, there has been little exploration of these concepts in an educational context, due to their own peculiarities. The original texts are often hard to understand and their interpretation demands knowledge of the historical and scientific context in which they were written, as well as skills pertaining to the conduction of research in the field of the History of Science. With this scenario in mind, the research towards this Professional MSc degree starts from the challenge of elaborating and discussing proposals which could enable the didactical transposition of the Primary Sources. We have worked specifically with Primary Sources on the History of the Vacuum and of the Atmospheric Pressure, because of the insertion of these subjects in the Brazilian High School curriculum, in connection with the didactical textbooks. "Historic Journals" were made up from clippings of the original historical texts, as was a Didactical Unit, which takes the usual textbooks as a basis and contemplates using the Journals and the entire Primary Sources in High School. At last, we have elaborated and implemented a course designed for the preparation of teachers and for being an opportunity for the discussion of the feasibility of putting these kinds of proposal into practice

Saberes de astronomia no 1º e 2º ano do ensino fundamental numa perspectiva de letramento e inclusão

This work suggests a discussion about methodologies and didactic-pedagogical activities for the teaching of Astronomy in first and second cycles of the primary school, in a perspective of literacy and inclusion. The presented proposals have been developed in a group of the Public School Alceu Amoroso Lima, North of Natal city, with children since six years old, amongst which two considered as being with special needs . This research aims to demonstrate that it is possible to develop with those children the contents of Astronomy, while they participate of the process of literacy and inclusion. From this, we are searching a theoretical-practical contribution so that the Parâmetros Curriculares Nacionais (Brazilian Nacional Curricular Guideness) include the referred contents in first cycle of primary school. For the accomplishment of this research, Experiential Astronomy was initially proposed. Later on, many workshops had been carried through (clay, ripping , crepon paper, plasticine, cardboard and gastro-lunar ). All the proposed activities were based on the conjunction of contents, which characterized the interdisciplinarity. Through the approach we adopted and the practices we proposed, we could evidence that not only children considered as being normal , but also that ones who carries special needs could appropriate themselves of our writing code, develop and incorporate a daily relationship close to the stuffs of the sky, learn many information about all of this, besides constructing attitudinal, procedural and conceptual contents

Propostas e discussões para o ensino de astronomia nos 1º e 2º ciclos do nível fundamental e na educação de jovens e adultos

This work aims to propose and to discuss methodologies and practical activities for Astronomy teaching in the 1st and 2nd cycles of the primary education and in the adult education. The proposals presented here were applied to students from the metropolitan region of Natal (RN), including students of the called normal education (formerly magisterial education) and of the undergraduate formation in pedagogy at the Instituto de Formação Superior Presidente Kennedy , and also, in particular, to teachers and students of public municipal school Escola Municipal Djalma Maranhão at the district of Felipe Maranhão II, also analyzing some didactic books used by these institutions. Several elements which we confronted with during this didactic-pedagogical experience were systematized, indicating principles, contents, reflections and procedures related to Astronomy teaching to students of those levels of education. Doing this we aim to make such an experience accessible to those interested in developing a similar approach involving the themes treated here as well as other ones related to Astronomy for those levels of education. The resources and practices implemented here aim to contribute to the effective realization of an interdisciplinary and contextualized education according to orientations proposed by the Parâmetros Curriculares Nacionais (Brazilian National Curricular Guidelines). In order to guarantee a broad accessibility to what we propose in this work, we intend to make available in printed form and also in an Internet page the procedures, instruction materials and texts we developed