Uma análise dos questionamentos dos alunos nas aulas de números complexos

This work presents a contribution for the studies reffering to the use of the History of Mathematics focusing on the improvement of the Teaching and Learning Process. It considers that the History of Matematics, as a way of giving meaning to the discipline and improve the quality of the Teaching and Learning Process. This research focuses on the questions of the students, classified in three categories of whys: the chronological, the logical and the pedagogical ones. Therefore, it is investigated the teaching of the Complex Numbers, from the questions of the students of the Centro Federal de Educação Tecnológica do Rio Grande do Norte (Educational Institution of Professional and Technology Education from Rio Grande do Norte). The work has the following goals: To classify and to analyse the questions of the students about the Complex Numbers in the classes of second grade of the High School, and to collate with the pointed categories used by Jones; To disccus what are the possible guidings that teachers of Mathematics can give to these questions; To present the resources needed to give support to the teacher in all things involving the History of Mathematics. Finally, to present a bibliographic research, trying to reveal supporting material to the teacher, with contents that articulate the Teaching of Mathematics with the History of Mathematics. It was found that the questionings of the pupils reffers more to the pedagogical whys, and the didatic books little contemplate other aspects of the history and little say about the sprouting and the evolution of methods of calculations used by us as well

Reestruturação da disciplina "Física I" do Curso de Tecnólogo em Gerência de Obras de Edificações do CEFET/PB

The aim of the present paper is to reorganize a discipline on technological physics so that the construction site of civil engineering becomes a natural environment of learning, providing the learner with the association between theory and practice as well as allowing the subject to process, in real time, information generated from his cognitive constructions and his contextualizations. Thus, a sequence of actions was taken into account: firstly, the programme was developed in the classroom, sharing with its contextualized information through experiments done under supervision by the learners in laboratories; secondly, the data which associate physics with construction were collected and, to do so, technical visits to construction sites were realized, providing the learner the association between the theory and the practice in a suitable site to the constructivist approach. As a result, the first discipline on physics of the Curso de Tecnólogos em Gerência de Obras de Edificações do CEFET/PB was re-structured in terms of syllabus, methodology, application and evaluation. In fact, this work deals with a dynamic process that gathers and gives emphasis to teaching, learning, technology, information, creativity, competence and abilities in a constructivist learning process and, as a consequence, having allowed institutional engagement

Investigação histórica na formação de professores de matemática: um estudo centrado no conceito de função

In this study we analyzed the development of a teaching experience, involving students with a bachelor s degree in mathematics from UFRN, based on the history of mathematics and mathematical investigations with the aim of contributing to the improvement of the teaching-learning of mathematics. The historical investigation tasks were planned and applied in the classroom, focusing on functional thought. The results obtained during the experience were described and evaluated based on authors who support the assumption of investigation and history as an alternative to the learning of mathematics. We emphasize that the material of analysis consisted of a work diary, audio recordings, questionnaires with testimony of the students involved, and, in addition, the assessment of the teacher of that subject. With regard to the mathematical content, the study was restricted to the concept of function, forms of representation and notation. It was evident that students showed great improvement with regard to the necessary formalization of the mathematical contents which were focused on, and to the active involvement of the students at different stages of the study. We can affirm that the completed study certainly represents significant contributions to an approach in the teaching-learning of functional thought

As Concepções da mobilidade e acessibilidade urbana aplicadas à implementação do ensino de física: uma interface pedagógica para sedimentação de conhecimentos

Abstract:It boards a study about the methodology applied in the classroom, with emphasis at the Physic teaching, but could be taken to the other matters of high school, mainly to that alumns with school delay and that needs a pedagogics resources to get the aproach of them to the subject showed trying to improve their learnship. The study was developed through the bibliographic research methodology, associated to the induce resource that allows to evaluate the methods of teaching praticed actually at High Schools, as the private as the public, to give to the teachers the resources that should change the dificulties of learning with prejudice the classmates performances. The results reacheds demonstrated that is perfectly possible to augment the physic teaching body, taking in consideration the expansion of the profit at the teaching­learnig procces, besides having allowed to shows that this methodology porpouse could be takes to others subjects of the High School to became this phase of school more suitable to the necessities of society. It concludes that the brazilian Education could receive a lot of augments, from the professional criativity on always that inside the classroom, really close of the problems showed by the classmates about learning collecting

O uso pedagógico de uma seqüência didática para a aquisição de algumas idéias relacionadas ao conceito de números complexos

The aim of the present work is to contribute to the teaching-learning process in Mathematics through an alternative which tries to motivate the student so that he/she will learn the basic concepts of Complex Numbers and realize that they are not pointless. Therefore, this work s general objective is to construct a didactic sequence which contains structured activities that intends to build up, in each student s thought, the concept of Complex Numbers. The didactic sequence is initially based on a review of the main historical aspects which begot the construction of those numbers. Based on these aspects, and the theories of Richard Skemp, was elaborated a sequence of structured activities linked with Maths history, having the solution of quadratic equations as a main starting point. This should make learning more accessible, because this concept permeates the students previous work and, thus, they should be more familiar with it. The methodological intervention began with the application of that sequence of activities with grade students in public schools who did not yet know the concept of Complex Numbers. It was performed in three phases: a draft study, a draft study II and the final study. Each phase was applied in a different institution, where the classes were randomly divided into groups and each group would discuss and write down the concepts they had developed about Complex Numbers. We also use of another instrument of analysis which consisted of a recorded interview of a semi-structured type, trying to find out the ways the students thought in order to construct their own concepts, i.e. the solutions of the previous activity. Their ideas about Complex Numbers were categorized according to their similarities and then analyzed. The results of the analysis show that the concepts constructed by the students were pertinent and that they complemented each other this supports the conclusion that the use of structured activities is an efficient alternative for the teaching of mathematics

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 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

O latim, uma língua morta?: uma metáfora em análise: o olhar da lingüística aplicada e suas implicações para o ensino

The focus of this research is the teaching of the Latin language. Due to the fact that its teaching has been facing a growing crisis in the last four decades, which currently persists, we ponder about external and internal causes of its decline, aiming at pointing out an alternative that enable us to find a way out of this situation. So, our research questions mainly concern how the teaching of Latin is viewed amongst the academic society, also investigating if it has kept up with the development of the scientific reflection about human language and the new approaches on language teaching. Furthermore, we analyse the contribution that the study of Latin can provide to the academic formation of language teachers and try to identify the areas of knowledge that can contribute to a reshaping of its teaching. Based on these guidelines, we have established as the goals of this research: 1) to reflect about the current situation of the teaching of Latin and the causes of its decline; 2) to determine its social representation among teachers and students of the Language Courses, as a way of defining the role it fulfills in the academic formation of teachers; 3) to accomplish an exploratory study of some handbooks that show alternative proposals on how to teach Latin, in order to detect their adequacy to current times and to the goals of the academic study of languages; 4) to offer an alternative proposal on how to teach Latin that takes into account the principles of Applied Linguistics, considering the socio-historical and cultural aspects of the language, enabling it to meet the requirements set by modern times. This research is divided into two parts. The first part presents the theoretical framework. We map the studies about Latin teaching inside and outside Brazil and argue against the concept of Latin being a dead language, presenting arguments set on changing this view. Then we describe and comment the notions of literacy, genre and culture, which helped us understand the reasons for the decline of the teaching of Latin and to point out suitable ways to overcome the crisis. The second part is dedicated to reflecting on the literacy practices in Latin teaching. We began by examining the answers to the questionnaires given to students and teachers about the view of Latin in the Language Courses; then we reflect on the teaching-learning of Latin as an academic literacy practice followed by an analysis of the didactic material used in teaching Latin. Finally, we suggest an approach of the familiar letter genre in ancient Rome as a means of teaching Latin in a contextualized way

Estratégias de relativização no português brasileiro e implicações para o ensino: o caso das cortadoras

This work consists of a cognitive-functional approach of relativization strategies of Brazilian Portuguese (BP), this is, standard relatives (with preposition or without it) and non-standard relatives (copiadora and the deletion pattern), and it emphasizes the last one. We investigate the use of the relative construction strategies in spoken and written texts produced by speakers from different school levels in a specific situation: a face-to-face interviewing. Our database is the corpora Discurso & Gramática: a língua falada e escrita na cidade do Natal e a língua falada e escrita na cidade do Rio de Janeiro. We contrast the use of the standard relative to the deletion pattern in prepositional context, by considering cognitive, social and interactional motivations for the use of the deletion pattern instead of the standard one. Our research leads us to verify that the deletion pattern is fixing as the preferred relativization strategy in prepositional contexts, and, in this way, it brings out a grammaticalization process in working. For this reason, we propose to take this relative construction as a common way to structure a relative clause, in the same way we take the standard pattern. Finally, we discuss the treatment of questions related to the processes of teaching and learning of Portuguese language and some suggestions are given in terms of class activities. We expect that the development of this research may give both support for the Portuguese teachers and suggestions to improve the teaching and learning process of Portuguese language, contributing in special to the treatment of the syntax of complex clauses.

As práticas exitosas de leitura no ensino fundamental: vozes sociais de professores e de estudantes

The school is the social place which should provide the formation of critical readers. In this context, the role of the teacher is crucial when it comes to teaching reading. Thus, this doctoral research aims to explicit the reading practices evidenced from social voices of teachers and Fundamental School students from state public schools at RN that have successful results, according to IDEB 2009. Moreover, we seek to explicit, through the positions of teachers, the conceptions of reading underlying their reading activities, as well as elucidate the social voices related to teaching of reading that are present in the National Curriculum Guide for 9 years Fundamental School and in the Political-Pedagogical Projects of the educational institutions investigated. In order to accomplish this goal, we carried out observations in the classroom, applied questionnaires with teachers and students in the 9th grade of Fundamental School, in classes of Portuguese Language, and also performed dialogical meetings with the management and pedagogics schools teams. The theoretical foundation that guides the research comes from bakhtinian thinking (2009, 2010), which addresses the dialogical perspective of language and active responsive comprehension. Furthermore, this work is anchored in theoretical reflections of Antunes (2005, 2009) and Geraldi (2003, 2006, 2010) about the reading and writing in the country, which contribute to the resizing of the teaching and learning process of Portuguese Language. This study belongs to the field of Applied Linguistics, which investigates language as social practice in the context of learning mother language or in contexts where relevant questions about the use of language are evidenced. The parameters of qualitative research in a social-historic perspective are adopted seeking to understand the school context by the subjects involved in research. The research corpus is composed of: (i) information constructed through the use of questionnaires with teachers and students; (ii) information constructed from the observed lesson and dialogue with management and pedagogical teams; (iii) a set of selected information, i.e., empiricism built through documentary analysis of the National Curriculum Guide for 9 years Fundamental School (CONSELHO NACIONAL DE EDUCAÇÃO, 2010) and the Political- Pedagogical Projects of the investigated schools. The analysis of the sayings of teachers and students suggest reading practices from various texts, in particular, from the literary sphere, in activities involving discussions, reading and reading comprehension exercises, interviews, songs, seminars organizations, concerts, dramatizations, literary weeks, among other practices. Furthermore, these analyses reveal that teach Portuguese Language requires commitment, responsibility and satisfaction, as well as more grounded theoretical principles, which make teaching practice more efficient. The research also reveals that the success of the teaching-learning process occurs by virtue of the involvement of school s segments in the educational process, creating therefore a network of responsibilities. In this sense, this research may contribute to the production of knowledge that can guide and enrich the teaching and learning of reading, envisioning a pedagogical practice constructed from the relationship with the other, i.e., from the dialogism which provides formation of young people that exercise their citizenship

Raciocínio moral e uso abusivo de bebidas alcoólicas por adolescentes

O uso abusivo de álcool por adolescentes é uma questão que preocupa os envolvidos com a educação, uma vez que as consequências desse fato podem gerar sérios prejuízos ao processo ensino-aprendizagem e ao adolescente que abusa. Com o objetivo de contribuir para o debate na busca de uma intervenção efetiva que possa ser utilizada, sobretudo nas escolas, procuramos detectar a possível relação entre uso abusivo de álcool e raciocínio moral. Para tanto, participaram alunos do ensino médio de uma escola pública, selecionados por meio da aplicação do AUDIT (The Alcohol Use Disorder Identification Test), que posteriormente foram entrevistados, conforme a Moral Judgement Interview (MJI) proposta por Kohlberg. Os resultados obtidos revelam níveis e estágios morais aquém dos esperados. Concluímos que a prevenção pode ser pensada por meio da Educação Moral como uma proposta de intervenção efetiva contra o uso abusivo de álcool e outras drogas.

As relações afetivas na prática tutorial e sua relações com a aprendizagem no curso a distância de licenciatura plena em Química

In distance learning degree in Chemistry in full of the Secretária de Educação a distância da Universidade Federal do Rio Grande do Norte (SEDIS / UFRN). The teacher-tutor to establish the experimental subjects closer relationships with students, mediating the pedagogical actions that develop in the distance learning course, with a view to achieving the principles of autonomy and learning, contributing to the creation of learning environments collaborative, guided by affection.The article presents the results of an empirical research on affectivity in practice this tutorial experimental classes in higher distance education in the full degree course in Chemistry Polo Currais Novos/ RN, held between 2009 and 2010. The study is based on qualitative methodology, whose data were collected through questionnaires and semi-structured interviews with 48 (forty eight) students involved in distance learning courses and selected in order to compose a group of subjects who showed variability, as guidelines that guide the sampling procedures in qualitative research. The results, based on category theory and empirical analysis of data from the interviews were supplemented by information obtained from participant observation which also served to guide the data collection of the corpus of this work. With the results we understand that there is clarity about what characterizes a loving relationship between those involved in the process of teaching and learning in experimental classes in high school chemistry Distance Education. Furthermore, it was also clear that the communication process in dialogic teaching and learning in higher distance education in chemistry at the trial need to mark out in balanced affective attitudes, the experimental error that value and respect the many possible construction of knowledge by movements social interaction of individual and collective

As relações afetivas na prática tutorial e sua relação com a aprendizagem no curso a distância de licenciatura plena em química

In distance learning degree in Chemistry in full of the Secretária de Educação a distância da Universidade Federal do Rio Grande do Norte (SEDIS / UFRN). The teacher-tutor to establish the experimental subjects closer relationships with students, mediating the pedagogical actions that develop in the distance learning course, with a view to achieving the principles of autonomy and learning, contributing to the creation of learning environments collaborative, guided by affection.The article presents the results of an empirical research on affectivity in practice this tutorial experimental classes in higher distance education in the full degree course in Chemistry Polo Currais Novos/ RN, held between 2009 and 2010. The study is based on qualitative methodology, whose data were collected through questionnaires and semi-structured interviews with 48 (forty eight) students involved in distance learning courses and selected in order to compose a group of subjects who showed variability, as guidelines that guide the sampling procedures in qualitative research. The results, based on category theory and empirical analysis of data from the interviews were supplemented by information obtained from participant observation which also served to guide the data collection of the corpus of this work. With the results we understand that there is clarity about what characterizes a loving relationship between those involved in the process of teaching and learning in experimental classes in high school chemistry Distance Education. Furthermore, it was also clear that the communication process in dialogic teaching and learning in higher distance education in chemistry at the trial need to mark out in balanced affective attitudes, the experimental error that value and respect the many possible construction of knowledge by movements social interaction of individual and collective

A contextualização e a interdisplinaridade no ensino de Química: uma analise de livros didáticos ACIDO-BASE e das propostas pedagógicas realizadas pelos docentes diante da temática

Nowadays, chemistry contents taught in high school continue to be presented in a fragmented and decontextualized manner by the teachers and the textbooks. Even though it is known that contextualization and interdisciplinary exchange play an important role in the process of Chemistry teaching/learning. Therefore, the present study aims at enlightening the importance of these methodological foundations in the learning of chemistry. The data acquisition about the subject Contextualization and Interdisciplinary Exchange involved in Chemistry Teaching was developed through bibliographical researches on chemistry textbooks, which focused on the analysis of the topics acid and base , since it is a theme studied throughout all three years of high school. The present study also developed questionnaires which were applied to analyze to what extent chemistry teachers are working in a contextualized and interdisciplinary manner throughout the process of Chemistry teaching/learning. The results obtained in the researches show that a contextualized and interdisciplinary teaching contributes to a more meaningful acquisition of chemistry knowledge, in a dynamic and interactive way, but there are still many roadblocks towards the achievement of this kind of Chemistry teaching/learning process

Um framework conceitual para apoiar a instrumentação da avaliação formativa da aprendizagem em jogos digitais

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