Utilizando processos geométricos da história da matemática para o ensino de equações do 2º grau

The present work had as principal objective to analyze the, 9th grade students understanding about the solutions of an equation of the 2° degree, using geometric processes of the History of the Mathematics. To do so, the research had as base the elaboration and application of a group of teaching activities, based on Jean Piaget's construtivism. The research consisted of a methodological intervention, that has as subjects the students of a group of 9th grade of the State School José Martins de Vasconcelos, located in the municipal district of Mossoró, Rio Grande do Norte. The intervention was divided in three stages: application of an initial evaluation; development of activities‟ module with emphasis in constructive teaching; and the application of the final evaluation. The data presented in the initial evaluation revealed a low level of the students' understanding with relationship to the calculation of areas of rectangles, resolution of equations of the 1st and 2nd degrees, and they were to subsidize the elaboration of the teaching module. The data collected in the initial evaluation were commented and presented under descriptive statistics form. The results of the final evaluation were analyzed under the qualitative point of view, based on Richard Skemp's theory on the understanding of mathematical concepts. The general results showed a qualitative increase with relationship to the students' understanding on the mathematical concepts approached in the intervention. Such results indicate that a methodology using the previous student‟s knowledge and the development of teaching activities, learning in the construtivist theory, make possible an understanding on the part of the students concerning the thematic proposal

Formação da habilidade de interpretar gráficos cartesianos em licenciandos em química segundo a teoria de P. Ya. Galperin

It has been remarkable among the Science Teaching debates the necessity that students do not learn only theories, laws and concepts, but also develop skills which allows them to act towards a critical citizenship. Therefore, some of the skills for the natural sciences learning must be taught consciously, intentionally and in a planned way, as component of a basic competence. Studies of the last twenty years have shown that students and teachers have plenty of difficulties about skills development and, among several, the skill of interpreting Cartesian graphics, essential for the comprehension of Natural Science. In that sense, the development of that type of professional knowledge during the initial education of future Chemistry teachers has become strategic, not only because they need to know how to use it, but also because they need to know how to teach it. This research has as its general objective the organization, development and study of a process of formation of the skill of interpreting Cartesian graphics as part of the teachers professional knowledge. It has been accomplished through a formative experience with six undergraduate students of the Teaching Degree Course of Chemistry of Universidade Federal do Rio Grande do Norte (UFRN Federal University of Rio Grande do Norte), in Brazil. In order to develop that skill, we have used as reference P. Ya. Galperin s Theory of the Stepwise Formation of Mental Actions and Concepts and its following qualitative indicators: action form, degree of generalization, degree of consciousness, degree of independence and degree of solidness. The research, in a qualitative approach, has prioritized as instruments of data collecting the registering of the activities of the undergraduate students, the observation, the questionnaire and the diagnosis tests. At the first moment, a teaching framework has been planned for the development of the skill of interpreting Cartesian graphics based on the presupposed conceptions and steps of Galperin s Theory. At the second moment, the referred framework has been applied and the process of the skill formation has been studied. The results have shown the possibility of develop the skill conscious about the invariant operation system, with a high degree of generalization and internalized the operational invariant in the mental plane. The students have attested the contributions at that type of formative experience. The research reveals the importance of going deeper about the teaching comprehension of the individualities tied to the process of internalization, according to Galperin s Theory, when the update of abilities as part of the teaching professional knowledge is the issue

O Evangelho segundo a Pastoral da Criança :por uma pedagogia da sobrevivência

This work aims to analyze social and educational actions at Pastoral da Criança, using education as a survival tool. This was done at Parque dos Coqueiros, a neighborhood in Natal, Rio Grande do Norte. The methodology for data collection was composed of comprehensive interview (Jean Kaufmann), participant observation (Robert Bogdan) and documental analysis (Le Goff); all os which bring reflections related to concepts such as strategies, tatics and know how (Michel de Certeau), configuration (Nobert Elias), and control technology (Michel de Foucault), care ethics (Leonardo Boff) and etno-theories (Natália Ramos). Pastoral da Criança is a social action organism that belongs to the National Conference of Bishops of Brazil, originated at Florestópolis, Londrina (Paraná), in the year of 1983. These actions have been an expression of a new logic of actions of the Catholic Church. It values the participation of laymen in the activities of the Pastoral. Thus, the parish is seen as a nucleus that irradiates the Church s Social Doctrine. At Rio Grande do Norte this institution has guided poverty stricken families on issues related to children s health as well as working with laymen for volunteer work. This is considered devotion, that is firmed by an individual and group mystique. The social and educational actions are done in three axes: 1) Monthly home visits, where there is mother-child support; 2) Life Celebration Day, where they weigh children and promote nutritional surveillance; 3) Meeting for Evaluation and Reflection, that aims to articulate community leaders to think about problems attached to the social actions they realize. This action tripod , as it is called by the Pastoral Agents are the types of actions that fundament survival education for poor children ranging from 0 to 6 years old. The families learn to deal with prevention, the essential, the alternative and probabilities of survival tactics due to exclusion matters or even social extermination. The Pastoral da Criança aims to recover childhood emotions in poverty stricken areas. It also has influence in the diminishing of malnutrition and mother and child mortality. This education for survival is the base on the art of teaching and learning of poverty stricken children. It is a social educational action, non assistencialist, but considered a shy action in order to promote mobilization of the communities that are accompanied for the emancipation and change of social conditions

Ensino do processo de enfermagem: visão dos discentes de graduação de Natal/RN

The nursing process (NP) it s the systematized way of offering humanized care with the objective of reaching the expected results. The concern of the health and education institutions of elaborating implementation strategies of it is growing. The objective of this research was to know the vision of the senior students of the nursing graduation courses from Natal/RN, about the teaching of the NP. It s about a descriptive and exploratory study of the qualitative and quantitative type, done in five teaching institutions of the undergraduate nursing course of the municipality of Natal- RN in 2011. The research was composed by 48 students of the last 2 years of the nursing course. The gathering of the data was done through an online survey with open and closed questions via SurveyMonkey. For the quantitative data it was used the descriptive statistics from Microsoft Office Excel and for the qualitative data the Content Analysis of Bardin. The results pointed a predominance of female students (81,25%) with an age between 21- 39 years old (75,00%) and in the last year of the course (62,50%). As the opinion of the students about the NP two categories emerged: 1) Nursing Process as grounded method in scientific knowledge and established in two stages; 2) Nursing Assistance Quality, with two subcategories: Nursing Process as Nursing Practice and Nursing Process as instrument of improvement of the aid quality and promotion of well-being. In relation to the tuition of the NP the students (45,83%) said that the knowledge on the subject of the instructor was good; 81,25% reported that the professors use a traditional teaching methodology with the problem solving components and 45,83% answered that is addressed in specific disciplines in an isolated way starting from the professional line. The phase of NP that the nursing students have more difficulties of learning and implementing, being mentioned 22 times (29,70%). In relation to the student s difficulties, in the fields of supervised internships, in applying the NP it was stated for 83,50% that the barriers were related to the non implementation of the practice, overwork and the lack of trust of the nurse in the NP. The teaching-care strategies described as the internship fields were: the training of nurses to be able to contribute with the University in the implementation of the service and teaching; and the need of the universities to focus, continuously throughout the course, the NP with the involvement and incentive of the instructors in this process. These results show that the NP for the nursing students is a work methodology of the profession that needs to be implemented effectively in the practical reality for its teaching to turn effective and for the future professionals to be able to bring real contributions in the achievement of systematized actions trying to improve the assistance quality and the nursing actions. It is expected that this study could help bringing some strategies to facilitate the merging between theory and practice in teaching the NP and stimulate a discussion about the topic at the Nursing Schools where the research was held together with the coordinators, instructors and students

Mapa de Conteúdos e Mapa de Dependências:Ferramentas Pedagógicas para uma Metodologia de Planejamento baseada em Objetivos Educacionais e sua Implementação em um Ambiente Virtual de Aprendizagem

Furthered mainly by new technologies, the expansion of distance education has created a demand for tools and methodologies to enhance teaching techniques based on proven pedagogical theories. Such methodologies must also be applied in the so-called Virtual Learning Environments. The aim of this work is to present a planning methodology based on known pedagogical theories which contributes to the incorporation of assessment in the process of teaching and learning. With this in mind, the pertinent literature was reviewed in order to identify the key pedagogical concepts needed to the definition of this methodology and a descriptive approach was used to establish current relations between this conceptual framework and distance education. As a result of this procedure, the Contents Map and the Dependence Map were specified and implemented, two teaching tools that promote the planning of a course by taking into account assessment still in this early stage. Inserted on Moodle, the developed tools were tested in a course of distance learning for practical observation of the involved concepts. It could be verified that the methodology proposed by the above-mentioned tools is in fact helpful in course planning and in strengthening educational assessment, placing the student as central element in the process of teaching and learning

As quatro operações básicas: uma compreensão dos procedimentos algorítmicos

The current research had as main objective to analyze the possibility of knowledge elaboration/re-elaboration about ideas and algorithmic procedures related to basic operations by pupils of the 6th degree fundamental teaching in a significant learning process. This way the study had as basis a methodological intervention developed in a 6th degree class of a Fundamental Teaching Municipal School in the city of João Pessoa, PB. The research had as central steps the application of pre-tests (1 and 2); the execution of semi-structured interviews with the pupils involved in the theme deep studies; the elaboration and development of teaching activities, having as referential the significant learning and the application of a pre-test. The data collected in the pre-tests (1 and 2) showed a low level of the pupils comprehension about the contents related to the four operations. The answers to the post-test questions were analyzed mainly from the qualitative point of view based on the mathematic concepts comprehension theory proposed by Skemp (1980) having as complementary subsidy data collected through interviews. The analysis of the results obtained in the post-test showed that the major part of pupils reached a relational comprehension about the ideas and algorithmic procedures related to addition, subtraction, multiplication, and division. Such results showed us that the application of a teaching methodology that privileges the content comprehension, considering the pupils previous knowledge and the reflection about the action along the activities proposed, made possible the elaboration or re-elaboration of knowledge by pupils regarding to contents adopted as theme for our research

Um hipermídia sobre fases da lua para o ensino de astronomia a distância

The interdisciplinary nature of Astronomy makes it a field of great potential to explore various scientific concepts. However, studies show a great lack of understanding of fundamental subjects, including models that explain phenomena that mark everyday life, like the phases of the moon. Particularly in the context of distance education, learning of such models can be favored by the use of technologies of information and communication. Among other possibilities, we highlight the importance of digital materials that motivate and expand the forms of representation available about phenomena and models. It is also important, however, that these materials promote the explicitation of student's conceptions, as well as interaction with the most central aspects of the astronomical model for the phenomenon. In this dissertation we present a hypermedia module aimed at learning about the phases of the moon, drawn from an investigation on the difficulties with the subject during an Astronomy course for teaching training at undergraduate level at UFRN. The tests of three semesters of course were analyzed, taking into account also the alternative conceptions reported in the literature in astronomy education. The product makes use of small texts, questions, images and interactive animations. Emphasizes questions about the illumination of the Moon and other bodies, and their relationship to the sun, the perception from different angles of objects illuminated by a single source, the cause of the alternation between day and night, the identification of Moon's orbit around the Earth and the occurrence of the phases as a result of the position of observing it, and the perception of time involved in the phenomenon. The module incorporated considerations obtained from interviews with students in two poles where its given presential support for students of the course, and subjects from different pedagogical contexts. The final form of the material was used in a real situation of learning, as supplementary material for the final test of the discipline. The material was analyzed by 7 students and 4 tutors, among 56 users, in the period in question. Most students considered that the so called "Lunar Module" made a difference in their learning, the animations were considered the most prominent aspect, the images were indicated as stimulating and enlightening, and the text informative and enjoyable. The analysis of learning of these students, observing their responses to issues raised at the last evaluation, suggested gains in key aspects relating to the understanding of the phases, but also indicates more persistent difficulties. The work leads us to conclude that it is important to seek contributions for the training of science teachers making use of new technologies, with attention to the treatment of computer as a complementary resource. The interviews that preceded the use of the module, and the way student has sought the module if with questions and/or previous conflicts - established great difference in the effective contribution of the material, indicating that it should be used with the mediation of teacher or tutor, or via strategies that cause interactions between students. It is desirable that these interactions are associated with the recovery of memories of the subjects about previous observations and models, as well as the stimulus to new observations of phenomena

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.

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

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 energia e suas implicações no ensino-aprendizagem da química

The area of Education in Chemistry in Brazil has appeared over 30 years and its growth has been accelerated by the need of comprehension of the processes of teaching and learning in chemistry. Many researches, in this area, has among its investigation objects the teaching tools like teaching materials and the learning processes of students in high school and basic education, but when dealing with higher levels of education, they are seldom portrayed. This study aimed to investigate the General Chemistry textbooks with respect to approach the concept of energy; know the main ideas of graduate students in Chemistry on the relation of the concept of energy and chemical transformations; finally, developing a cicle of studies with the proposition of an approach wich inter-relate the concept of energy and its implications in the teaching-learning process of a chemical transformation. To do so, we used as instruments a questionnaire, press conference, conceptual map and experimental activities. All activities of the study cicle were videotaped and recorded, transcribed and the results organized in tables. For the activities of the study cicle texts that have been developed and inter-relating concepts of chemistry and energy, which in turn gave theoretical support to the activities in the cycle. In the analysis it was used as a theoretical content the analysis of Laurence Bardin. The results revealed that the analysis of the book might be perceived that not always the concept of energy is used in order to generate the abstract thought of chemical transformations, but that the main macroscopic thermodynamic variables are present in the explanation of these transformations. During the study cicle, were studied two chemical reactions: the first one, made possible to approach the macroscopic dimension to quantify the concept of energy and the second one, made possible to demonstrate the macro and microscopic dimension of the concept of energy during a chemical transformation. In all reactions proposed, students used, in most of the times, as explanations, only macroscopic observations of the reactions under study and failed to realize that the concept of energy can be used to explain macro and microscopic chemical transformation. As a final action of the study cicle, students requested further discussion, to clarify the link between the concept of energy and the meanings constructed in the process of studying the reactions. This is done through an oral explanation, during the cycle, and registered in this thesis and attempts to show the interrelationship existing conceptual

O uso de analogias para o ensino de equilíbrio químico no ensino médio: facilitação da aprendizagem ou transmissão de erros conceituais?

The use of analogies in high school is often useful for chemistry teaching, either on textbooks or by teachers in the classroom.This use is justified by the large number of abstract concepts that rules this course. Analogies are conceptualized by several authors, which converge on the idea that these are tools that seek a way to elucidate an unknown concept by comparing it to a familiar one, relating their similar and dissimilar features. An analysis on a survey of analogies found in high school chemistry textbooks and chemical equilibrium studies is performed in order to verify whether they are leading to misconceptions for their use by students and/or for their use by teachers in the classroom, or whether they promote a learning facilitation

Aprender e ensinar na escola inclusiva: desafios na construção da identidade de pedagogos

The democratization of Brazilian education and discussion about the educational rights of persons with disabilities in refer to reflection on the conceptions of teaching and learning and the folding of these concepts in practice and in the formation of professional identity of the teacher educator. Thus, the proposed research in this dissertation aimed to describe educational processes developed by educators in classrooms in which they are enrolled students with disabilities a view to considering how these processes affect the construction of their professional identity of the pedagogue. As the methodology used to research is classified as Case Study. This methodological approach enables the analysis of singularities of educational contexts. In this work, the case investigated consisted of the analytical study of the pedagogical practices developed in classrooms where there are students with disabilities and their relation to the establishment of the professional identity of the teacher in a school linked to a non-governmental organization supporting people with disabilities in the city of Natal / RN. The Data were collected through the use of the following instruments: exploratory questionnaires, observation and respective registration in the field diary of research and interviews with educators in different professional cycles proposed by Huberman. The data reveal didactic and pedagogical aspects common in educational processes in the observed classes and differences concerning the specifics of pedagogues in the teaching profession in different moments of their professional careers. The analysis of the conceptions tell us the nuances of meanings constructed on teaching and learning and its interface with the reflection on teaching practice. As to the meaning assigned to be pedagogue research highlights the professional identification related to the meanings of teaching and learning in school. The experiences in the teaching profession according to the survey data point to changes in teachers conceptions about teaching and learning disabled people in the perspective of inclusion. Therefore, the study concludes that the pedagogical practices with students with disabilities the different experiences add up and can transform conceptions of teachers about teaching and learning interfering with constant reflection on practices and the construction of professional identities of pedagogues.

Proposta de jogo químico como estratégia didática no ensino a distância abordando o conteúdo de estereoquímica

The educational games can act as a complementary tool in the teaching and learning as play an important role in the interaction of the student with knowledge, and encourage interrelationship between students and motivate them by the pursuit of knowledge. This research is intended to analyze the evidence of the students of distance education applied to semesters 2011.2 and 2012.2 for the purpose of to catalog the mistakes presented by the students, the contents of stereochemistry that attended the Chemistry of Life discipline. From the presented mistekes, develop an educational game, "walking the stereochemistry", addressing that content. The choice of stereochemistry content was due to the low number of found work in the literature, and for being one of organic chemistry content that generates learning difficulties, as it requires a mental visualization and manipulation of molecular structures, besides require observation and comparison ability by the students. The game was applied of Life Chemistry discipline of Nova Cruz Polo in semester 2013.2, with intention to verify the viability and applicability this tool for the development of motivation ability by the pursuit of knowledge by the students, as well as complement the didactical materials of the DE. Then, It was made available on the course page an opinion questionnaire to the participants of the game, as a way of to investigate the opinion their about the proposed strategy. To diagnose the contributions of the game on student learning, it was taken a comparative analysis of stereochemistry issues contained in didactic tests applied in 2013.2 semester students participating and not participating of the polo of Nova Cruz and was also compared with the tests applied at the poles of Extremoz, Currais Novos, Lajes and Caico. So the game can be considered an important resource to complement the teaching materials of distance education, because awoke the motivation for the search of knowledge and contributes to the learning of stereochemistry content.