Um estudo sobre o ensino-aprendizagem das demonstrações matemáticas

Demonstrations are fundamental instruments for Mathematics and, as such, are frequently used by mathematicians, math teachers and students. In fact, demonstrations are part of every Mathematics teaching environment, because Mathematics considers something true when it can be demonstrated. This is in contrast to other fields of knowledge that employ observation and experimentation to validate truth. This dissertation presents a study of the teaching and learning of demonstrations in Mathematics, describing a Teaching Module applied in a course on the Theory of Numbers offered by the Mathematics Department of the Universidade Federal do Rio Grande do Norte for mathematics majors. The objective of the dissertation was to propose and test a Teaching Module that can serve as a model for teaching demonstrations. The Teaching Module consisted of the following five steps: the application of a survey to determine the students‟ profiles and their previous knowledge of mathematical language and techniques of demonstration; the analysis of a series of dialogues containing arguments in everyday language; the investigation and analysis of the structure of some important techniques of demonstration; a written assessment; and, finally, an interview to further verify the principal results of the Teaching Module. The analysis of the data obtained though the classroom activities, written assessments and interviews led to the conclusion that there was a significant amount of assimilation of the issue at the level of relational understanding, (SKEMP, 1980). These instruments verified that the students attained considerable improvement in their use of mathematical language and of the techniques of demonstration presented. Thus, the evidence supports the conclusion that the proposed Teaching Module is an effective means for the teaching/learning of mathematical demonstration and, as such, provides a methodological guide which may lay the foundations for a new approach to this important subject

Dificuldades de aprendizagem em estequiometria: uma proposta de ensino apoiada na modelagem

In order to learn/teach chemistry some themes are relevant, like the stoichiometry, which consists in the study of the weight ratios in the combination of elements and compounds between themselves. This is an underlying subject in the understanding/representation/forethought of chemical reactions. Considering these aspects, our study presents a modeling-based proposal to develop the content of stoichiometry with prospective chemistry teachers. With this aim, we have made a review of literature, which we considered when tried to identify the learning difficulties using both quizzes and pedagogical tests, and then, from those difficulties we could propose a teaching unit for this concept and, consequently the evaluation of our proposal. The participants were chemistry undergraduates at the Universidade Federal do Rio Grande do Norte (UFRN) from assorted levels. As a methodological framework, we rely on the discursive textual analysis to characterize the speech of participants. As main results we observed ideas of appearance or disappearance of matter during chemical transformations, disregard of stoichiometric proportions when using drawings to represent the microscopic level of a reaction and confusion between the magnitude amount of matter and other magnitudes such as mass and volume. The final product is a sequence of instruction, based on the modeling previous research literature , with the goal of improving students ability to articulate the macroscopic and submicroscopic levels of representation of the matter

Dificuldades de aprendizagem sobre conceitos de genética no ensino fundamental

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

O ensino de óptica no nível fundamental: uma proposta de ensino aprendizagem contextualizada para a oitava série

This dissertation presents the investigation and possible interference in the current teaching of physics, specially of optics, in the eighth grade/ ninth year / fourth cycle of junior high school. The context of the current science teaching is also presented. Besides, the following aspects are discussed: the preparation of the eighth grade teachers, their professional needs, the pedagogical practices and the theoreticmethodological difficulties faced by them. Another important issue in Science Teaching, which is also discussed in this dissertation, is the need for an efficient scientific literacy so that the citizen may express value judgment about Science and Technology issues. The data about the context were gathered from questionaires answered by the teachers. In value of this information, lesson plans were elaborated and implemented. The goal was to point out alternatives for the development of a teaching-learning evaluation which would be both pleasant for the teachers in relation to the implemented methodology, end meaningful for the students by adding elements such as: interdisciplinary approach, contextualization and preparation by competences. Furthermore it was carried out a deeper analysis of the Brazilian curriculum references (LDB, DCN, PCN, RCB) and content aspects (concepts, procedures e attitudes) to be executed by that branch of human knowledge, aiming at a really Contextualized Science Teaching, qualified and pleasant for the eighth grade level. It is also presented in this paper the profile or the Professional which teach this level at state public schools in Russas, state of Ceará, Vale do Jaguaribe Region. The efficacy of the lesson plans were also analysed by using evaluation procedures with the eighth grade students of the following schools: CAIC Senador Carlos Jereissati and EEF Manuel Matoso Filho, from which the concepts acquired during the implementation of the classes became evident in the students

Refletindo dificuldades de aprendizagem de alunos do ensino médio no estudo do equilíbrio químico

This research intends to identify the main conceptual mistakes committed by High School students when studying Chemical Equilibrium and also how the didactic books can influence in their formation. For the data - collecting we applied 150 questionnaires with 11 open questions e 4 restricted ones. Students from three different private schools in Natal-RN were used in this survey. The questionary about the book analysis tried to understand how the subject has been boarded, making it easier or not for the knowledge building. The books were chosen by being usually the most used ones at the chemistry classes in the schools in town. On the didactic book analysis we evaluated 12 items that tried to identify the clarity with which the books would bring up the subjects, the contextualization of the exercises, the analogies used, the amount and the quality of exercises, the connections between the subjects, and the retaken of important concepts. The questionary given to the students tried to get their knowledge about the concepts related to Chemical Equilibrium. The main mistakes found were: the definition of the state of equilibrium in a chemical reaction, the constant, the double headed arrow, confusions between mass and concentration, the representation of a microscopic reaction in equilibrium, partial pressure and total pressure, and the function of the catalyser. The results demonstrated a lot of insecurity or lack of knowledge about the subject when it was realized that there was a big number of blank questions and a considerable percentage of questions with conceptual errors. We concluded that those errors could be eased or even avoided if the didactic books and the teachers boarded the contents in a more conceptual form with the application of a largest number of good quality exercices, watching the building of definitions by the students, avoiding this way the formation of wrong concepts

Uma proposta de ensino e aprendizagem de Língua Inglesa integrada ao uso das TICS para o desenvolvimento da autonomia dos aprendizes

This study focuses on the teaching and learning of English based on a new theoretical perspective concerning the Zone of Proximal Development (ZPD), which points to the apprehension of metacognitive processes as the way to reach learning autonomy. The theoretical set underline this study is those of a new pedagogy based on the symbiosis of Bruner‟s (2002) and Freire‟s (2009) concepts and in the metacognitive theory. In a social context dominated by the Communication and Information Technologies (CIT), the integration between teacher and learners with the support of the internet has been used as the way to operationalize this new emergent proposal of the theoretical perspectives. The analyses have been conducted through Systemic and Integral Action Research. The results at the end of this study corroborate our hypothesis that the enlargement of spontaneous knowledge of the learners can facilitate the understanding of scientific concepts, stimulating their metacognition and thus promoting their autonomy.

Avaliando a aprendizagem de língua inglesa em uma escola de ensino médio a partir de contribuições discentes

This study discusses the evaluation of the English language‟s learning developed in a public high school from Lajes-RN in 2011 starting from a qualitative evaluation proposal (SAUL 1988; CANAN, 1996; DEMO, 2008) aiming the production of knowledge about the evaluation process developed in the classes of English language involving the contributions from students. To diagnose and characterize the evaluation process of English language of the researched school, identifying the representations that students attributed to the evaluation, we have implemented the evaluation instruments suggested by students to perform the evaluation of language learning and allowed a reflection about the student‟s participation in the construction of the evaluation process of the English language, subject discussed by Sant‟anna (2002) and other theorists (CANAN, 1996; BRAZIL, 2002; PEREIRA, 2009). To conduct the research work, we use the qualitative approach with ethnographic basis, substantiate in authors like Bogdan, Biklen (1994), Mazzotti; Gewandsznajder (1998), Strauss, Corbin (2008) among others. The methodology was the action research (ANDRÉ, 1995; NUNAN, 2007; LANKSHEAR; KNOBEL, 2008) described as research of empirical basis which associates an action with a resolution of a collective problem, because in it, its researchers and employees are engaged in a cooperatively way (THIOLLENT, 1985). When we treat about the evaluation of English language‟s learning (ALMEIDA FILHO, 1993; SCARAMUCCI, 2009) practiced before and after the contributions made by the students of the second year of the refereed school, the study considers that high school students have a more critical and reflective conscience with regard to their evaluations, not just opining on the assessment of learning English but also about the assessment of other subjects from their scholar curriculum and so this research presents possibilities for performing the act of evaluation which consider the participation of students in decisions regarding this process, because we cogitate that when the teachers share the decisions with their students, teachers can add quality to the evaluation process

A constituição de identidades de mulheres : práticas discursivas e relações de poder

This research investigates the discursive constitution of identities; in spe-cial, it aim to problematize women identities constitution, pointing discursive prac-tices and power relations which involve them. The interviewed subjects had been adult women who had resumed their school trajectory, after certain period without frequenting educational establishments. Aware of that those identities can be per-ceived through the observations of the discursive practices, we question: which discursive practices and power relations involve and constitute those women? Which identity positionings they take through the discursive practices and power relations that include them and that are identified in their stories? Which linguistic marks characterize, in the speech of those women, forms of resistance in the con-stitution of identities? We intend to investigate the constitution of woman identities in the contemporanity; pointing discursive practices and power relations which in-volve women that converge to their identity constitution; exploring in the linguistic materiality effects of senses that emanate of the discursive practices and power relations which involve the collaborators in the identity constitution in private and public spaces. Research corpus is composed by stories of life granted by three women, collected through semidirected interview between 2004 and 2005. To ana-lyze the data, we base in authors as Pêcheux (1993; 2002), Foucault (1979; 1988; etc.), Butler (2003), Scott (1992; 1995), Hall (2000; 2004; 2005), Bauman (1999; 2005), among others that problematize questions as discourse, identity, social gender, power and its interfaces. The life stories had allowed to analyze: the gen-der identity constitution from discursive practices and relations of forces lived in the familiar scenery; assumed identity positionings from discursive practices in globalized urban contexts; power positions in the domestic and extradomestic sphere and new identity positionings

A aprendizagem de inglês mediada por jogos eletrônicos do tipo MMORPG

Massively Multiplayer Online Role-Playing Games (MMORPGs) are role-playing games that, through the Internet, can integrate thousands of players interacting at the same time in at least one virtual world. This way, these games can provide, further than fun, a greater familiarity with the additional language and opportunity to improve the linguistic proficiency in a real context. Hence, what is proposed in this study is extended knowledge about the learning of an additional language mediated by MMORPGs for teachers to know how, if relevant, to present, use or encourage this practice to their students. Based on this major purpose, we seek to answer the following research questions: (a) what distinguishes the learning profile of the gamers and non-gamers; (b) if MMORPGs can, through a hybrid and systematic approach, assist the development of proficiency of the additional language and (c) what the think-aloud protocols show about the learning mediated by the MMORPG Allods Online. Following an experimental method (NUNAN, 1997), 16 students of the curricular component Reading and Writing Practices in English Language have comprised the control group and 17 students of the same class formed the experimental group and were submitted to a pre and post-test adapted from the Key English Test (KET) by the Cambridge University (2008). The tests were conducted before and after a period of 5 weeks of 3 hours of practice with Allods Online a week (experimental group), and classes of the curricular component (both groups). A quantitative analysis of the questionnaires about the exposure to English profiles of the participants, a quantitative analysis of the tests scores and a qualitative analysis of the thinkaloud protocols collected during the experiment were conducted based on the theories of (a) motivation (GARDNER, 1985, WILLIAMS & BURDEN, 1997, BROWN, 2007, HERCULANO-HOUZEL, 2005); (b) active learning (GASS, 1997, GEE, 2008, MATTAR, 2010); (c) interaction and collaborative learning (KRASHEN, 1991, GASS, 1997, VYGOTSKY, 1978); (d) situated learning (DAMASIO, 1994; 1999; 2003, BROWN, 2007, GEE, 2003) and (e), tangential learning (PORTNOW, 2008; MATTAR, 2010). The results indicate that the participants of the experimental group (gamers) seem to be more engaged in tangential English learning activities, such as playing games, listening to music in English, communicating with foreigners and reading in English. We also deduced that the period of experiment possibly generated positive results on the gamers proficiency scores, mainly in the parts related to orthographic development, reading and comprehension, writing with focus on content and orthographic accuracy. Lastly, the think-aloud protocols presented evidences that the gamers have engaged in active English language learning, they have interacted in English with other players, and learned linguistic aspects through the experience with the MMORPG Allods Online

O desenvolvimento da interlíngua na aprendizagem da escrita em inglês em uma escola bilíngue: um estudo exploratório

The aim of this study is to investigate the development of written Interlanguage in English as an Additional Language (AL) by students in the 2nd grade of Ensino Fundamental I in a bilingual school in the city of Natal-RN. For this purpose two research questions guided this study: (a) which hypotheses could be inferred from the writing development of the bilingual learners of English as AL? and, (b) what is the impact of the type of input monomodal or multimodal in the Interlanguage development in the AL of bilingual learners? The 38 learners were divided into a control group, with 21 learners exposed to monomodal input, and an experimental group, with 17 learners exposed to multimodal input, and pre and post-tests were applied to both groups. A mixed methods research design was conducted (DÖRNYEI, 2007) to involve both qualitative and quantitative data collection and analysis. The qualitative aspect comprehended descriptive characteristics that interpreted the central cognitive processes in the acquisition of writing in AL by the learners. Through these interpretations, it was possible to understand the constitution of written Interlanguage (SELINKER, 1972) according to the data generated by the learners. The quantitative data were presented as the results generated from the experimental design. Thus, they narrowed the relations between the dependent variable the writing development, that is, how close it is to the target form which was modified throughout the process by the independent variable the quality of input (VAN PATTEN, 2002, GASS, 1997, SCHMIDT, 1986, PARADIS, 2009; 2010, ELLIS, 1995), which, being monomodal or multimodal, its function was possibly to alter the route of acquisition. The quantitative results pointed towards significant gains by the experimental group, which had multimodality present, suggesting that the learners in this group seem to have been more able to cognitively register (SCHIMDT, 1990) aspects of learning than the learners in the control group

O gênero joke em atividades de inglês: uma proposta intercultural de ensino-aprendizagem para o ensino médio

Our research has arisen from the interest of aligning English as a Foreign Language (EFL) classroom practice to current discussions in the ambit of learning and teaching Foreign Languages (FLs). Because of the need to integrate the linguistic development to the development of notions clung to the practice of citizenship, we have adopted a cultural perspective. We have noticed jokes as a fertile ground for discussing cultural aspects in classroom. Considering such factors, our research question is: how to explore cultural aspects in jokes for the elaboration of EFL activities which aim for the development of intercultural competence and interaction? Therefore, our general goal is to explore cultural aspects in jokes for the elaboration of EFL teaching and learning activities and our specific goals are: (I) to study official suggestions (LDB, 1996; PCNEM, 2000; PCN+EM, 2002; OCEM, 2006) regarding culture at foreign languages teaching and learning, (II) to select 05 (five) jokes and analyze them focusing on their cultural aspects, (III) to identify possible interpretations for jokes; (IV) to elaborate EFL activities which grant a privilege to jokes cultural aspects. This investigation is descriptive and documental and relies on qualitative paradigm (CHIZZOTTI, 2010; FLICK, 2009; CHAROUX, 2006; BOGDAN; BIKLEN, 1994; 1992). The corpus is constituted by jokes taken from Internet sites and by official documents (LDB, 1996; PCNEM, 1998; PCN+EM, 2000; OCEM, 2006). For the elaboration of activities we have chosen a weaker version of Content-based instruction (CBI), in which contents are cultural aspects in jokes and we have undertaken a reflection on methods, approaches and perspectives, among which there are notions about post-method and CBI, which talk to EFL learning and teaching. For theoretical support we have some discussions about FL methods and approaches (BELL, 2003; KUMARAVADIVELU, 2003; WESCHE; SKEHAN, 2002; PRABHU, 1990), a cultural perspective (KRAMSCH, 1998, 1996, 1993; BYRAM; FENG, 2004), some works in Linguistics about jokes (POSSENTI, 2010, 1998; CHIARO, 1992); notions about implicit (MAINGUENEAU, 2004, 1996; CHARAUDEAU; MAINGUENEAU, 2012) and about ambiguity (KEMPSON, 1977; CHARAUDEAU; MAINGUENEAU, 2012; TRASK, 2011), having the adoption of such categories emerged from the analyzes of some jokes

O papel da atividade lúdica como motivadora da aprendizagem da língua inglesa: análise de um livro didático

This work aims at analyzing the activities presented in the book On Stage for junior high school students, which was selected by IFRN, as well as checking out the students interest for play activities. We have come from the point that playing activities can contribute to the increasing of motivation for the teaching of English (BROUGERE, 1999; WRIGHT, BETTERIDGE, BUCKBY, 2006; LANGRAN e PURCELL, 1994). At first place, our research is a document analysis and in second place, it is an action research. We have proposed two questionnaires for the participants of this work, all of them are High school students at IFRN-Campus Zona Norte, in order to check out their interests and the degree of motivation for the English learning before and after the carrying out of play activities. The obtained data also showed that the students became more motivated and interested in the classes after working with play activities, and most of the students agreed with the inclusion of these activities in the selected course book. The result of our work proved the benefits of play activities according to researches available in the literature about this subject. From the results acquired in the present work, we suggest that play activities should be included in English course books, even when they are addressed to High School teaching in order to help increasing the motivation for the learning of a foreign language

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

A construção estilística das identidades poéticas da cidade de Natal: um olhar bakhtiniano

The purpose of this work is to bring forward cultural identities of the city of Natal that are built upon representations contained in the work of Twentieth-Century Potiguar1 poets. We started out with the premise that the urban tissue owes its formation to the effect of the feelings produced and to the individuals that give shape to them, thus causing the city to abound with feelings and meanings that are relevant for both society and the individual. As cities and their identities may be studied and interpreted from different viewpoints, we have used in this study poetic discourse that functions as a memory to the city and takes shape out of a set of historically established social practices. Our research is situated within the area of Applied Linguistics, an area of knowledge focused mainly in language that is increasingly expanding its investigation limits in an interdisciplinary way. Therefore, this study is based on a social and historical model of language, with language construed as a discourse practice (Bakhtin and Circle), and presents an interface with cultural studies (Hall, Canclini), taking into account the fact that culture builds up values and brings forth differences in respect of the conditions under which such values and differences are produced. In this sense, we have tried to ―listen‖ to what the poets say, by understanding and interpreting the meanings produced by their discourse, in order to identify the formation of the identities of the city that arise out of distinct points of view and diverse stylistic marks. Analysis of these poetic utterances lead to multifold cultural identities of the city, ranging from a naive and multicolored Natal to a city that builds itself on its characters and on to an insurgent, usurped Natal