Números complexos: uma proposta de mudança metodológica para uma aprendizagem significativa no ensino médio

This work presents a proposal of a methodological change to the teaching and learning of the complex numbers in the Secondary education. It is based on the inquiries and difficulties of students detected in the classrooms about the teaching of complex numbers and a questioning of the context of the mathematics teaching - that is the reason of the inquiry of this dissertation. In the searching for an efficient learning and placing the work as a research, it is presented a historical reflection of the evolution of the concept of complex numbers pointing out their more relevant focuses, such as: symbolic, numeric, geometrical and algebraic ones. Then, it shows the description of the ways of the research based on the methodology of the didactic engineering. This one is developed from the utilization of its four stages, where in the preliminary analysis stage, two data surveys are presented: the first one is concerning with the way of presenting the contents of the complex numbers in math textbooks, and the second one is concerning to the interview carried out with High school teachers who work with complex numbers in the practice of their professions. At first, in the analysis stage, it is presented the prepared and organized material to be used in the following stage. In the experimentation one, it is presented the carrying out process that was made with the second year High school students in the Centro Federal de Educação tecnológica do Rio Grande do Norte CEFET-RN. At the end, it presents, in the subsequent and validation stages, the revelation of the obtained results from the observations made in classrooms in the carrying out of the didactic sequence, the students talking and the data collection

A química no ensino médio e a contextualização: a fabricação dos sabões e detergentes como tema gerador de ensino aprendizagem

El conocimiento químico es muy importante a la comprensión de procesos físicos y químicos que nos acercan, por una opción de una vida mejor con calidad, fomentando y acompañando el desarrollo tecnológico. Sin embargo, la formación de un pensamiento químico fruto de un aprendizaje significativo es hoy, en todo el país, un reto paro los educadores de química. Estúdios señalan la contextualización de los contenidos químicos como recurso para promover una interrelación entre conocimientos escolares y hechos/situaciones presentes en el cotidaiano de los alumnos, añadiendo significado a los contenidos escolares, proporcionando a los alumnos un aprendizaje significativo. Con tal objetivo, la siguiente pesquisa se realizó con la intención de contribuir con la enseñanza de química y con el propósito general de proponer un materila didáctico que presentase una forma contextualizada de trabajar algunos conceptos y contenidos fundamentales a la química, con tema generador de la enseãnaza y aprendizaje a la fabricación de jabones y detergentes. Con objetivo de justificar la elección del planteamiento de la contextualización y la elaboración del material didáctico, se hizo una pesquisa acerca de la enseãnaza de química en al red pública de educación y la relación de ésta con los contextos pertenecentes a la realidad de los alumnos. Se observó que la enseñanza de química actual en la red pública de educación es tradicional y descontextualizada. Los resultados de esta pesquisa muestran la necesidad de cámbios la forma de como se enseñan los contenidos químicos. En la segunda parte de la pesquisa, se produjo la elaboración de la unidad didáctica de enseñanza, con el objetivo de promover el aprendizaje significativo de conocimientos químicos a partir del tema de la fabricación de jabones y detergentes. Se observó que el trabajo alcanzó los objetivos propuestos. Una evaluación cualitativa mostró que los alumnos estuvieron más participativos e interesados al estudiar química de esta forma. Relatos y decalraciones de los alumnos también indicaron que hubo un aprendizaje significativo de los contenidos trabajados y que los alumnos son capaces de transferirlos para la comprensión de situaciones reales. Y una evaluación cuantitativa del material nos reveló que 87,09% de los alumnos obtuvieron apuntes iguales o superiores a la media necesaria para la aprobación. Esperamos que hayamos contribuído para mejorar la calidad de la enseñanaza de química y que este trabajo sea solamente un comienzo de una gran jornada

A modelagem matemática como alternativa de ensino e aprendizagem da geometria na educação de jovens e adultos

This is work itself insert in the mathematics education field of the youth and adult education to aim to practitioners of the educational action into the mathematics area performing to with this is teaching kind, adopting to as parameter the Mathematics Molding approach. The motive of the research is to draw up a application proposal of the molding mathematics as teaching and learning geometry alternative in the youth and adult education. The research it develops in three class of the third level (series 5th and 6th) of he youth and adults education in the one school municipal from the Natal outskirts. Its have qualitative nature with participating observation approach, once performing to directly in to research environment as a mathematics teacher of those same classes. We are used questionnaires, lesson notes and analyses of the officials documents as an basis of claim instruments. The results indicates that activity used the mathematic moldings were appreciated the savoir-faire of the student in to knowledge construction process, when search develop to significant learning methods, helping to student build has mathematics connections with other knowledge areas and inside mathematics himself, so much that enlarges your understanding and assist has in your participation in the other socials place, over there propitiate to change in student and teacher posture with relation to mathematic classroom dynamics

O impacto das tarefas de aprendizagem mediadas pela lousa digital interativa na motivação situacional de aprendizes de inglês

Some authors have suggested that learning tasks conducted in L2 classes can motivate learners in different ways. Similarly, Interactive Whiteboards (IWB) have already been linked as drivers to engagement and enthusiasm in L2 classes, which may cause some impact on affective variables that influence learning (e.g. motivation). This crosssectional mixed-methods study aims to understand how situational motivation caused by learning tasks mediated by the IWB impact participants. We seek to answer the following research questions: (1) How does motivation as a personality trait of the learner relate to his/her additional language learning performance?, (2) How does the type of learning task mediated by the IWB impact the learner s motivation?, (3) How does motivation vary along the learning task mediated by the IWB? and (4) What is the relation between the learning task motivation and the learners perception about the task mediated by the IWB? Data collection lasted four months with 29 learners from a private language school. The instruments used were the following: (a) an initial questionnaire (adapted from the Attitudes/Motivation Test Battery by GARDNER, 2004), (b) situation-specific on-line scales to assess learners motivation in three moments: before, during and after the task, and analyze how motivation varies along the task; (c) class observations and field notes resulting from these observations, (d) participants end-of-course grades to understand the connection between academic success and their motivational profiles and (e) a final questionnaire with the qualitative purpose to know learners perceptions about the tasks mediated by the IWB. Our theoretical framework is based on Task-Based Learning and cognitive aspects present in tasks (WILLIS, 1996; SKEHAN, 1996), theories on motivation and second language learning (GARDNER, 2001; DÖRNYEI e OTTÓ, 1998; DÖRNYEI, 2000; 2002) and conceptions about L2 learning mediated by technology (GIBSON, 2001; OLIVEIRA, 2001; MILLER et al, 2005). Our results do not point out to a significative correlation between learners end-of-course grades and their motivational profiles. However, they indicate that there is some variability in situational motivation along the tasks, even among learning tasks from the same type. Furthermore, they show that learners report different perceptions for each learning task and that the impact of the IWB on participants did not have a large proportion

A ferramenta VoiceThread em uma abordagem hibrida: o desenvolvimento da produção oral e da habilidade de noticing na aprendizagem de inglês como L2

VoiceThread (VT) is a collaborative and asynchronous web 2.0 tool, which permits the creation of oral presentations with the help of images, documents, texts and voice, allowing groups of people to browse and contribute with comments using several options: voice (microphone or cell phone), text and audio-file or video (webcam) (BOTTENTUIT JUNIOR, LISBÔA E COUTINHO, 2009). The hybrid experience with VoiceThread allows learners to plan their speech before recording it, without the pressure often existent in the classroom. Furthermore, the presentations can be recorded several times, enabling students to listen to them, notice the gaps in their oral production (noticing) and edit innumerous times before publishing them online. In this perspective, oral production is seen as a process of L2 acquisition, not only as practice of already existent knowledge, because it can stimulate the learner to process the language syntactically (SWAIN, 1985; 1995). In this context, this study aims to verify if there is a relation between the oral production of the learners more specifically the grammatical accuracy and the global oral grade and their noticing capacity, how the systematic practice with VoiceThread, in a hybrid approach, can impact the learners global oral development, their oral production in terms of fluency (number of words per minute), accuracy (number of errors in hundred words), and complexity (number of dependent clauses per minute), and on their noticing capacity (SCHMIDT, 1990; 1995; 2001), that is, the learner s capacity of noticing the gaps existent in their oral production. In order to answer these research questions, 49 L2 learners of English were divided into an experimental group (25 students) and a control group (24 students). The experimental group was exposed to the hybrid approach with VT during two months and, through a pre- and post-test, we verified if this systematic practice would positively influence these participants oral production and noticing capacity. These results were compared to the pre- and post-test scores from the control group, which was not exposed to VT. Finally, learners impressions in relation to the use of this tool were also sought through a questionnaire applied after the post-test. The results indicate that there is a statistically significant correlation between the learners speech production (accuracy and global oral grade) and their noticing capacity. Besides, it was verified a positive impact of VoiceThread on the learners speech production variables and on their noticing capacity. They also reveal a positive reaction by the learners in relation to the hybrid experience with this web tool

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

A memória de curto prazo e a síndrome de down: a relação entre contextos de desenvolvimento

Down syndrome (DS) is one of the most frequent causes of intellectual disability, affecting one in every 600 to 1000 live births. Studies have demonstrated that people with DS have a lower capacity for short-term memory (STM) and working memory (WM), which affects their capability to learn new words and to follow spoken instructions, specially when they involve multiple information or consecutive orders/orientations. It seems that the basis of the learning process, as it happens with language and mathematics comprehension and reasoning, relies in the STM and WM systems. Individuals with DS are increasingly included in mainstream education, and yet, very few researches have been conducted to investigate the influence of memory development and the type of enrollment (regular school and special school). This study investigated the relationship between the type of school enrollment with the performance on STM tests and also, the relationship of this performance with early stimulation (ES). The tests used in the first research were the digit span, free recall, word recognition and subtests of the Wechsler Intelligence Scale for Children Third Edition (WISC-III). Individuals enrolled in the regular schools group had higher scores on the digit span test and the subtests of the WISC-III. In the free recall and recognition tests, no differences were found. This study indicates that the type of enrollment might influence the memory development of individuals with DS and clearly points the need for future investigations. In the second research, the tests used were the digit span, free word recall and subtests of the WISC-III. The test results showed better performance by adults that received ES before six months of age. The studies showed improvement in STM both in people who attended or were attending regular school, as well as those who benefited from ES before six months of age. However, some issues still need to be better understood. What is the relation between this stimulation with the individual s education? Since ES may reflect a greater family involvement with the individual, what is the role of emotional components derived from this involvement in the cognitive improvement? These and other questions are part of the continuity of this study

O jogo de RPG como ferramenta auxiliar de aprendizagem na disciplina de Ciências

ON reflecting the traditional teaching approach, characterized by non-dynamic and descriptive methods that still persists in schools at the present time, associated to social living enrichment has motivated the search for new techniques to stimulate students in the process of teaching, such as roleplaying games, known as RPG, already being used in various school disciplines. Considering the amount of themes in general sciences and in biology, in particular that could be explored through RPG our purpose was to develop a game to be used as a learning complementary tool. PANGÉIA, the game we developed, was based on the GURPS system and to be placed at the geological Eras of the earth. The objective of the game was playing a character that represented an animal belonging to a Class of Vertebrates, and making it surviving and reproducing during risky situations presented in the game. These situations were narratives by the Master about challenges that the character would face, which should be solved using the dices. Along the narrative, the Master introduced concepts and informations about the subject being studied. To evaluating how the game worked out, we solicited 11 volunteers, from two different schools in Natal, to play PANGÉIA. Before starting the game, and without knowing the final objectives of our project, the volunteers answered a general questionnaire to let us know their level of knowledge, which was also answered after playing the game. The comparison of the volunteers answers before and after playing the game suggests that this activity influenced them. Also, based on this test, we identified critical aspects to be modified in PANGÉIA, specially a stronger relation between both the questionnaire and the game placement with the narrative of the master. In order to have PANGÉIA used as a complementary learning tool, a teachers handbook has to be written, including rules concerning the format of game application. Nonetheless, based on this pilot study, we conclude that topics on sciences and biology can be easily adjusted to RPG format, and its flexibility provides multiple combinations that can be used to help learning the more difficult topics to be taught in a class

Algumas considerações sobre o ensino e a aprendizagem do conceito de energia

Neste artigo procuramos abordar alguns aspectos relevantes sobre o ensino e a aprendizagem do conceito de energia, tais como as concepções de energia do senso comum e as relações entre transformações de energia e meio ambiente, bem como destacar a viabilidade da utilização de textos com abordagens históricas e, finalmente, analisamos um texto interdisciplinar que relaciona energia e meio ambiente. Com relação ao referido texto, discutimos a possibilidade de o mesmo levar o estudante a um entendimento das noções fundamentais de energia, mediante a contextualização histórica, social, política, econômica e ambiental dessas noções.

Investigação da relação entre conteúdo onírico e aprendizado de uma tarefa cognitiva complexa

Several lines of evidence indicate that sleep is beneficial for learning, but there is no experimental evidence yet that the content of dreams is adaptive, i.e., that dreams help the dreamer to cope with challenges of the following day. Our aim here is to investigate the role of dreams in the acquisition of a complex cognitive task. We investigated electroencephalographic recordings and dream reports of adult subjects exposed to a computer game comprising perceptual, motor, spatial, emotional and higher-level cognitive aspects (Doom). Subjects slept two nights in the sleep laboratory, a completely dark room with a comfortable bed and controlled temperature. Electroencephalographic recordings with 28 channels were continuously performed throughout the experiment to identify episodes of rapid-eye-movement (REM) sleep. Behaviors were continuously recorded in audio and video with an infrared camera. Dream reports were collected upon forced awakening from late REM sleep, and again in the morning after spontaneous awakening. On day 1, subjects were habituated to the sleep laboratory, no computer game was played, and negative controls for gamerelated dream reports were collected. On day 2, subjects played the computer game before and after sleep. Each game session lasted for an hour, and sleep for 7-9 hours. 9 different measures of performance indicated significant improve overnight. 81% of the subjects experienced intrusion of elements of the game into their dreams, including potentially adaptative strategies (insights). There was a linear correlation between performance and dream intrusion as well as for game improval and quantity of reported dreaming. In the electrophysiological analysis we mapped the subjects brain activities in different stages (SWS 1, REM 1, SWS 2, REM 2, Game 1 and Game 2), and found a modest reverberation in motor areas related to the joystick control during the sleep. When separated by gender, we found a significant difference on female subjects in the channels that indicate motor learning. Analysis of dream reports showed that the amount of gamerelated elements in dreams correlated with performance gains according to an inverted-U function analogous to the Yerkes-Dodson law that governs the relationship between arousal and learning. The results indicate that dreaming is an adaptive behavior

Investigação da influência do cochilo na aprendizagem escolar

There is a known positive effect of nocturnal sleep for brain plasticity and the consolidation of declarative and procedural memories, as well as for the facilitation of insight in problem solving. However, a possible pro-mnemonic effect of daytime naps after learning is yet to be properly characterized. The goal of this project was to evaluate the influence of daytime naps on learning among elementary and middleschool students, measuring the one-day (acute), and semester-long (chronic) effects of post-learning naps on performance. In the Acute Day-Nap condition, the elementary students were exposed to a class and then randomly divided into three groups: Nap (N), Game-based English Class (GBEC) and Traditional English Class (TEC). There were 2 multiple-choice follow-up tests to evaluate students performance in the short and long runs. In the short run, the N group outperformed the other two groups; and such tendency was maintained in the long run. In the chronic condition, the middle-school students were randomly separated into two groups: Nap (N) and Class (C) and were observed during one academic term. The N group had increased school performance in relation to the C group. In the statistical analyses, independent t-tests were applied considering the scores significant when p<0,05, expressed in terms of average ± average standard error. Results can be interpreted as an indication that a single daytime nap opportunity is not enough to ensure learning benefits. Therefore, more research is needed in order to advocate in favor of a daytime nap as a pedagogical means of promoting enhanced school performance

Efeitos de diferentes tipos estressores sobre a memória e aprendizagem de ratas

The exposure to stressors produces physiological changes of the organism in order to adapt the individual to the environment. Depending on the type, intensity and duration, stress can affect some cognitive functions, particularly processes of learning and memory. Several studies have also proposed that some level of anxiety would be necessary for memory formation. In this context, memories of previously aversive experiences may determine the manner and intensity with which are expressed fear responses, which explains the great interest in analyzing both anxiety and memory in animals. In addition, males and females demonstrate different reactions in relation to stressful stimuli, showing different levels of anxiety and differences in processing of the acquisition, retention and recall of information. Based on this information, the present study aimed to verify the effect of stress on learning, memory and anxiety behavioral parameters in rats exposed at different types of stressors of long duration (seven consecutive days): restraint (4h/day), overcrowding (18h/day) and social isolation (18h/day) in the different phases of the estrous cycle. Our results showed that the stress induced by restraint and social isolation did not cause changes in the acquisition process, but impaired the recall of memory in rats. Furthermore, it is suggested a protective effect of sex hormones on retrieval of aversive memory, since female rats in proestrus or estrus phase, characterized by high estrogen concentrations, showed no aversive memory deficits. Furthermore, despite the increased plasma levels of corticosterone observed in female rats subjected to restraint stress and social isolation, anxiety levels were unaltered, compared to those various stress conditions. Animal models based on psychological and social stress have been extensively discussed in the literature. Correlate behavioral responses, physiological and psychological have contributed in increasing the understanding of stress-induced psychophysiological disorders

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

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

Relação entre achados em neuroimagem, habilidades auditivas e metafonológicas em escolares com dislexia do desenvolvimento

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)