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

Um estudo de práticas matemáticas históricas e sugestões de uso na matemática escolar

This dissertation aims to contribute on teaching of mathematics for enabling learning connected to the relationship among science, society, culture and cognition. To this end, we propose the involvement of our students with social practices found in history, since. Our intention is to create opportunities for school practices that these mathematical arising from professional practice historical, provide strategies for mathematical thinking and reasoning in the search for solutions to problematizations found today. We believe that the propose of producing Basic Problematization Units, or simply UBPs, in math teacher formation, points to an alternative that allows better utilization of the teaching and learning process of mathematics. The proposal has the aim of primary education to be, really forming the citizen, making it critical and society transformative agent. In this sense, we present some recommendations for exploration and use of these units for teachers to use the material investigated by us, in order to complement their teaching work in mathematics lessons. Our teaching recommendations materialized as a product of exploration on the book, Instrumentos nuevos de geometria muy necessários para medir distancia y alturas sem que interuengan numeros como se demuestra em la practica , written by Andrés de Cespedes, published in Madrid, Spain, in 1606. From these problematizations and the mathematics involved in their solutions, some guidelines for didactic use of the book are presented, so that the teacher can rework such problematizations supported on current issues, and thus use them in the classroom

Uma proposta metodológica do ensino da química para alunos da Zona Rural :O estudo do leite

La enseñanza desarrolló, así como los métodos y las técnicas de enseñar. Aquí el he/she piensa un método instrucción, en que el estudiante está más de un oyente simple: además la parte íntegra, él se llama para intervenir continuamente, mientras tocando una parte ancho, interactivo e involucrando, del contextualização del tema para ser trabajado -inclusivo, asocie día a día al his/her y contextual al programa de la disciplina de Química, hasta la manera como ese tema debe explorarse. La leche, el tema pone en correlación al origen del grupo de los estudiantes seleccionados, fue explorado, dentro de una visión sistémica, bajo el punto de vista de la composición de las propiedades de la industrialización y de la comercialización. Buscando prever los caminos de la construcción y organización del conocimiento de los estudiantes, se usó el modelo de administración mental de Antoine de La Garranderie y la teoría de aprender de Ausubel. El conocimiento de los estudiantes se supervisó antes, durante y al final de las actividades desarrolladas, práctica que permitió verificar la evolución y el nivel de asimilación conceptual de éstos con respecto al tema en el estudio. El análisis de los resultados obtenidos, después de la aplicación de una encuesta que contempla veinte asuntos, todo pertinentes al tema, demostró un nivel del uso sobre el promedio, lo que merecido la pena el método de enseñanza propuesta

Processos de construção do sentido na esquizofrenia: uma perspectiva cognitiva da linguagem

There is still a lot to be said about the relationship between culture, cognition and language. Within an embodied cognition perspective to language, it may be understood that the senses generated and used in discourse are built and negotiated not only linguistically, since they also involve stereotypes, schemes, frames, etc. These cognitive structures, in turn, would emerge from subjects experiences and interactions with a sociohistorically constituted environment. With that in mind, what would happen if someone had an altered view in the perception of such environment? The objective of this master s thesis was to understand the process of meaning construction, aiming at the activation of frames, in the discourse of people who have been diagnosed as schizophrenic and have been hospitalized, that is, individuals who have their socio-environmental perception affected. With that aim in mind, a speech corpus was generated with three schizophrenic patients from Professor Severino Lopes Psychiatric Hospital. The data were collected and analyzed qualitatively, based on the theoretical and analytical premises of Cognitive Linguistics, more specifically, of Simulation Semantic perspective. Therefore, it was possible to identify aspects related to meaning construction processes in the discourse of schizophrenic patients, understanding that language is integrated with cognition and culture. Therefore, the alteration in the way experiences are perceived by schizophrenic patients affect the linguistic production of these subjects. Finally, if we take into consideration that the mental disturbance caused by schizophrenia results in a change in perception of reality by these individuals, we can infer an implication of such factors in language and, subsequently, the interference of such issues in the meaning construction processes in the discourse of patients diagnosed with schizophrenia

A construção de posicionamento valorativo no cronotopo do PSV- 2008 da UFRN

Située dans le domaine de la Linguistique Appliquée (CELANI, 1998; MOITA LOPES, 2004, 2006, 2009), cette recherche documentaire fait partie d‟une approche qualitative-interprétative qui privilégie une perspective socio-historique (FREITAS, 2002, 2007; ROJO, 2006). Le but principal de ce travail est d‟analyser comment l‟interlocution a lieu dans les lettres argumentatives produites par 10 sujets-énonciateurs ayant participé au processus de sélection du «vestibular» d‟UFRN, appelé ici le chronotope du PSV-2008. Pour cela, les objectifs spécifiques qui guident cette recherche consistent à analyser les modes d‟assimilation du discours de l‟autre par le candidat, à identifier les positions axiologiques résultant des formes du processus interlocutif, et à construire une vision du sujet-énonciateur sur la base des choix de valeurs de l‟énonciateur et des relations espace-temps qui constituent l‟énonciateur et l‟interlocuteur. Quant à la théorie, la recherche est fondée principalement sur la notion de chronotope de Bakhtin une catégorie qui découle de la théorie du roman et problématisée par Amorim (2004) en articulation avec les réflexions théoriques de Geraldi (1997, 1999, 2006), Britto (2006) et Antunes (2005, 2006) sur le processus d‟écriture les relations dialogiques, la responsivité et les voix sociales (BAKHTIN, 1990, 2003, 2008; BAKHTIN/VOLOCHINOV, 2006) qui sont traversées par la conception dialogique du langage. L‟analyse nous a permis d‟identifier, principalement, deux débats dialogiques, dont le premier confronte le candidat à la dissertation et le second, à des interlocuteurs mentionnés dans la proposition. Les sujets ont formulé leurs énoncés sur un ton d‟indignation, en critiquant ce que l‟interlocuteur avait exprimé. Les candidats ont fait appel à la formation d‟un scénario d‟espoir, de crédulité, de respect et d‟éthique, conforme à la dignité de l‟être humain. Ces résultats mettent en évidence la façon dont des sujets multiples et hétérogènes, insérés dans la dimension de la vie, prennent position à l‟intérieur des pratiques discursives, face aux coordonnées d‟espace et de temps

O hipertexto eletrônico de meio ambiente : estratégias de leitura e navegação

The incorporation of computing in class instigate the use of the Internet and websites as a content support in the teaching/leaning process. This kind of practice had challenged the students to read through eletronic hypertextual means. In that way, we re trying to undestand which strategies of reading and navigation the students of the second and third grade of highschool levels are using when reading electronic hypertexts from the www.ambientebrasil.com.br website. The research took place in the Escola Estadual Jerônimo Rosado in Mossoró RN. Our theoretical base was estructured on the digital Technology (electronic hypertext estructure and it s navigation modes), in applied linguistics (act of reading) and in cognition (interaction of the reader with the text and the use of reading strategies in the virtual computing enviroment). The applied methodology was the case analysis which was developed with the reunion of collected data through qualitative reseach questionaries, direct observations and video recording sessions. The research demonstrates that reader s ability in the act of navigating on virtual sites activates his/her reading strategies. Also shows how the semantic architecture of the hyperlinks can interfere directly over the strategies of reading and navigation in specific websites. Our research also intend to demonstrate that the student use his strategies of linear text reading when are not accustomed to use the reading through websites in a regular basis. The investigation concludes observing that the amount of hypertexts per pages and the inappropriate use of the multimedia elements were harmful to the reading fluency

As construções adverbiais em mente: análise funcionalista e implicações para o ensino de língua materna

This research aims at investigating the constructions with adverbials in ly, based on the view of contemporaneous linguistic functionalism, such as proposed by Givón, Hopper, Thompson, Traugott, Furtado da Cunha, as well as the cognitivist notion of language, through construction grammar support upon the patterns of Goldberg and the prototypes theory. The cognitive functional approach adopted here considers the change as a proper and inherent phenomenon of language and understands the linguistic phenomenon as resulting from effective use of language. Another aspect to be considered to the realization of this study is the fact that the formation adjective + ly is a word construction mechanism really productive, which generates interests on linguistic description. In a particular way, our leading objective is to exam the constructions with adverbials in ly in the context of language in use, in its oral and written forms, looking for to apprehend the meaning multiple manifestations forged in the use. Bearing this in mind, we worked with data from the Corpus Discurso & Gramática (Natal). There are, in the data, adverbs ended in ly that take the signification of mode, as foreseen in traditional models, but there are also other significations, for instance, the modalizador in its different manifestations. The results show that this adverb is a linguistic mark that carries in its constitution the multissêmico and multifunctional character, which interferes extremely in the ordination of this category, assuming a position sometimes pre-verbal, sometimes post-verbal. Other aspect observed refers to the relationship between the adverb and the verb, with emphasis on the compatibility or restriction between them, option which is related to the semantic aspect. The data in analysis legitimate the use in different constructions with adverb ended in ly in various genres, as follows: personal experience narrative, retold narrative, local description, proceeding account, opinion account, both in oral as in written language

Entre a fé, a obra social e a publicidade: uma análise crítica do discurso da responsabilidade social da Igreja Universal do Reino de Deus

Situated on Applied Linguistics (PENNYCOOK, 1998; MOITA LOPES, 2003, 2006, 2008, 2009), this thesis, which is inscribed in a qualitative-interpretative approach of a critical analysis perspective , lies on the speech of social responsibility and the way like that is employed in seeking for legitimacy and prestige within the neopentecostal brazilian religious field, more specifically of the Universal Church of the Kingdom of God. The general goal of this research is t reflect upon the speech on social responsibility and the rethoric of selfpromotion of the Universal Church through the role of social actors in the making of his her identities, materialized in the newspaper Folha Universal. In order to achieve that, we have conjugated, in this research, social and discursive analysis. On the linguistic-discursive approach, the research is based on the Critical Analysis of Discourse (ACD), specially in Fairclough (2001, 2003, 2006), a proposal that provides theoretical-methodological tools to investigate the language beyond the linguistic structures , that is, the discourse, social practices in which it occurs and more ample structures. Theoretical assumptions were also used of Sistemico-Functional Linguistics(LSF), matching with categories of the Transitivity System of Halliday (1994, 2004), of the forms of representation of social actors in the socioeconomic perspective by Van Leeuwen (1997, 2008) and of the Appraisal system by Martin and White (2005). As we develop the argumentation on thesobre social role of religion in this thesis, we make use of the authors such as Freston (1994), Oro (1997, 2003), Campos (1996, 1999), Mariano (1999), Meneses (2008), among several ones. We have also used a series of concepts and categories coming from the field of communication and marketing on the business social responsability and social marketing . In this area, we take as references the contributions of Bueno (2003), Fossá and Sartoretto (2003) and Zenone (2006). The corpus of the work is framed by news taken at the newspaper Folha Universal, in which are given the social responsibility actions of the church . The timeframe used was on the editions of 2010 thru 2012. Results found at he analysis of the News lead to semantic features of Assessment of Affection, Judgment and Appreciation, many times followed by Gradation, and the Attribution, one of the subsystems of the Attachment, are evidence of positive assessments for the Universal Church and its agents and make up rethorical elements which provide structure for the discourse of the Universal Church at the newspaper Folha Universal consisted of its image (style) of social responsibility . Results show that the most frequente social actors of the discourse are, on one hand, the Universal Church itself and its volunteers, famous (actors, actresses, presenters), politicians and authorities, on the other hand, the population which was helped by the Church social projects . The first group seems to be Always activated, however the second one, most of the time rather passive. These are also represented by assimilation in most of the occurrences, however the other ones by individualization and nomination entitled by honorification, except for the volunteers that are represented either as an individual, or as a group

O argumento dos contrários e a hipótese sobre a imortalidade no Fédon de Platão

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

O conceito de liberdade em o ser e o nada de Jean-Paul Sartre

This dissertation aims to address the concept of freedom from the perspective of the French philosopher Jean-Paul Sartre with reference to the main work Being and Nothingness. After presenting the concept of freedom we will try to show that it is related to the notion of responsibility, which will lead, ultimately, to define the Sartrean philosophy as a philosophy of action. In the first chapter we will present in passing the phenomenology of Edmund Husserl, philosopher from which Sartre will develop his concept of freedom. The Husserlian notion of consciousness (intentionality) is the way to develop his analysis of Sartre phenomenon of being. From this analysis Sartre submits their concepts of being in-itself and being for-itself. Being initself is defined as the things of the world devoid of consciousness, are the things that surround us. The In-itself has as its main brand positivity: it is what it is, is all that can be said about him. In turn being For-itself is the very being of man, which differs radically from the In-itself. The For-itself has as its main intentionality, ie, its ability to project outside itself in existence. That's when Sartre shows that this type of being realizes its existence on the basis of a constant nihilation. Here comes the notion of anything. Among the relations of the For-itself with the surrounding world stands a very special: relationship between consciousnesses. It is when we discuss the issue of another. Intersubjectivity, through sartrean analysis of look, show that the For-itself assumes a new existential dimension: the being-for others. That's when Sartre will emphasize his notion of conflict. The conflict in intersubjectivity would come from the fact that you want to take another- For-itself as an object. Given this we will analyze what Sartre called the concrete relations with others. The philosopher submit such relations in the form of ducts and conduits assimilation of ownership. In the first my-self to try to "get lost" in the consciousness of another, ownership of my conduct in-itself tries to "take ownership" of the subjectivity of the other and try to treat others as things, as objects. In this sense Sartre examines the experiences of love, masochism, indifference, desire and sadism. Following this route we will enter the land of freedom itself, which is the major theme of our work. Since Sartre defines the For-itself as a being that is projected to create your way of being, it can only define it as freedom. The freedom of the For-itself is taken in terms of autonomy of choice. Once the For-itself has no way of being a thing as being in-itself, it just may be picking up, that is, making your being. Here Sartre speaks of the anguish that would be the symptom of freedom itself. The fact that the For-itself have to choose on whether the call as one being distressed. However, in most cases the For-itself tries to escape from the anguish of freedom and takes refuge in bad faith. After setting the man (For-itself) as freedom Sartre defends that he is totally responsible for what he does of himself. Once the philosopher holds that man is not predetermined, ie, does not have an a priori essence, his philosophy has as its basic assumption the action. If Sartre argues that the For-itself must constantly choose your way of being, the action is the basis on which man will exercise his own freedom. In this sense we conclude the work with an approach to work Existentialism is a Humanism, which represent the entry of the philosopher on the practical aspects of life

Efeitos do treinamento de dupla tarefa no controle do equilíbrio dinâmico e estático de idosas pré-frágeis: um estudo piloto

The increasing world population of older individuals has become a subject of growing research for prevention and reversibility of the frailty because it is a major risk factor for the occurrence of falls, especially when it involves everyday situations of dual task. Some rehabilitation programs have already used the methods of dual-task with general exercises for improving gait and postural control, but has been reported that these interventions have little specificity with limited success to improve certain aspects of static and dynamic position during the performance of functional tasks. This study aimed to verify the measures of postural control in a group of elderly women with fragility phenotype after physical therapy intervention program based on dual-task treadmill training. We selected six pre-frail elderly subjects, with a minimum age of 65, female, living in the community and randomly assigned to two groups. The survey was conducted twice a week for 45 minutes, for four weeks. The simple task intervention consisted only in training on a treadmill and the dual task consisted of in treadmill training associated with visual stimuli. The assessments were made with the use of the Berg Balance Scale (BBS) and the Balance Master® computerized posturography, static and dynamically. The effects of retention were observed after one month, using the same instruments earlier used. The results showed a tendency toward improvement or maintenance of the balance after training on a treadmill, especially with respect to static equilibrium. Both groups showed the most notable changes in the variables related to gait, as the length and speed. The BBS scores and the baropodometric variables showed that the experimental group could keep all values similar or better even one month after completion of training unlike the control group. We concluded that the dual-task performance had no additional value in relation to the improvement of balance in general, but we observed that the effectiveness of visual stimulation occurred in the maintenance of short term balancevariables

Tradução, adaptação cultural e avaliação psicométrica da prova cognitiva de leganés em uma população idosa brasileira com baixo nível de escolaridade

Introdução: The scales of cognitive screening are important tools for early detection of dementia, creating the possibility of developing measures to slow this process and assist in the management of the disease. Objective: To validate the Leganés Cognitive Test (Prueba Cognitive de Leganés) (PCL) for cognitive screening in low educated elderly Brazilians. Methods: The study sample was composed of 59 elderly residents from the city of Santa Cruz, Brazil with low schooling levels. Reliability was analyzed with a 2-day interval between assessments, and concurrent validity was assessed using the Mini Mental State Examination (MMSE). Results: According to the PCL, the prevalence of dementia was 11.8%. The scale items showed a moderate to strong correlation between domains (p <0.01), and inter-rater reliability exhibited ICC = 0.81, 95% CI (0.72-0.88). Factor analysis resulted in two factors: memory and orientation. Interscale agreement was considered poor (k = - 0.02), supporting the hypothesis of an educational impact on final MMSE scores. Conclusion: The results suggest that PCL has acceptable levels of reliability for use in low educated elderly Brazilians

Variáveis relacionadas ao processo de adesão a um programa de prevenção de quedas em idosos cadastrados na Estratégia de Saúde da Família

Introduction: Falls among older adults is a public health problem, therefore it is necessary preventive actions, however the adherence is the major problem faced by practitioners and researchers working on falls prevention programs. Objective: To evaluate the variables related to the adherence to falls prevention programs among the elderly enrolled in a Basic Health Unit (BHU). Methods: Was performed an observational cross-sectional analytical study. All elderly registered in a BHU and able to ambulate independently were invited to participate in a falls prevent program. The Elderly who Adhered to the Program (EAP) were evaluated at BHU; and the Elderly Not Adhered to the Program (ENAP) were identified and assessed at home. The assessment for both groups was performed using an evaluation form containing personal data, measures and clinical scales to assess cognitive status, balance, mobility, fear of falling, handgrip strength. Data were analyzed with SPSS 20.0. In addition to this assessment, the ENAP underwent a semi structured interview, in which we used the qualitative approach based on the figure of the Collective Subject Discourse. Results: The study included 222 elderly, 111 EAP and 111ENAP, most aged between 70 and 79 years (48.2%), female (68.5%), married (52.3%) and illiterate (47.7%). Consolidated as protective factors for adherence, worst rates of physical activity (p = 0.001), balance (p = 0.010) and cognition (p = 0.007). The interview of ENAP identified two themes: "Local implementation of programs for the prevention of falls" and "Relationship between BHU and the elderly health care," and found that the elderly who did not adhere were unable to displace and did not mention that primary care programs are related to health care in elderly. Conclusions: Elderly who do not adhere to the program differ from elderly who adhere as worst indices of cognition, balance and physical activity which implies greater risk of falling; and they were unable to participate in falls prevention program and by to be caregiver and showed displacement difficult

Efeitos do treino em esteira na marcha com dupla tarefa de indivíduos com doença de Parkinson: ensaio clínico controlado randomizado

Background: The gait automaticity loss difficults realization of concurrent activities - Dual Task (DT). In these situations, individuals with Parkinson`s disease (PD) show a significant reduction in gait velocity and stride length, as strides variability and asymmetry increased, factors predisposing to falls. However, recent studies have shown that training involving DT may cause subsequent improvements in gait variables with DT in individuals with PD. The treadmill use was adopted by this study, by promoting greater regularity in step and enhance training. Objective:To investigate immediate effects of gait training associated with cognitive tasks on gait in individuals with PD. Methods: Twenty-two volunteers were randomly divided into two groups: control group (n = 11), who performed gait training on a treadmill for 20 minutes, and the experimental group (n = 11), who performed treadmill gait training for 20 minutes associated with cognitive tasks of verbal fluency, memory, and spatial planning. Participants were evaluated in phase on of antiparkinsonian medication as the demographic, clinical and anthropometric (identification form), cognitive status (Montreal Cognitive Assessment - MoCA), executive function (Frontal Assessment Battery), level of physical disability (Hoehn and Yahr Modified), motor and functional status (Unified Rating Scale for Parkinson`s Disease - UPDRS), and kinematics (Qualisys Motion Capture System). Results: There were not differences between groups, but both showed improvement after the intervention. The control group had an increase in velocity (p = 0.008), stride length (p = 0.04), step length (p = 0.02) and decreased double support time(p = 0.03). The experimental group showed an increase in speed (p = 0.002), stride length (p = 0.008), step length (p = 0.02) and cadence (p = 0.01), as well as a decrease in the width stride (p = 0.001) and total support time (p = 0.02). As the angular variables, the experimental group had a significant increase in the initial contact angle of ankle (p = 0.01). Conclusion: The gait training combined with cognitive activities didn`t provide significant improvements in gait variables with DT, but this study was the first to demonstrate that gait training on treadmill as simple task minimized the negative interference of DT in PD

Análise do sono e da utilização de cartilhas educativas em pacientes com acidente vascular cerebral

O AVC é uma grande causa de mortalidade e uma das principais causas de incapacidade entre adultos. O presente estudo visa analisar o estado do sono e da utilização de cartilhas educativas em pacientes com AVC. No primeiro estudo foram abordados os fatores associados com os horários de dormir/acordar e no segundo estudo foi analisado o conhecimento e prática quanto às orientações sobre os hábitos de sono e estimulação cognitiva. No estudo 1 foram avaliados 50 pacientes sendo 28 homens, de faixa etária entre 25 e 90 anos que durante uma semana completaram um diário do sono e o registro de atividades através do Social Rhythm Metric (SRM) e do Indice de Nível de Atividades (ALI) e aplicação do questionário de cronotipo (MEQ). Utilizado o teste de correlação de Spearman verificou-se correlação significativa entre os horários de dormir/acordar com cronotipo e entre os horários de dormir/acordar com SRM e o ALI. No segundo estudo foram abordados 40 pacientes com idade média 56,1 ± 11,9 anos, sendo 15 homens e 25 mulheres; como instrumentos foram utilizados National Institute Health Stroke Scale (NIHSS) e em seguida os pacientes observaram cartilhas educativas sobre hábitos de sono e estimulação cognitiva respondendo se conheciam e se praticavam as orientações apresentadas. A análise estatística realizada através do teste de Fisher obteve como resultado, que das 10 orientações apresentadas sobre os hábitos de sono, 6 foram citadas como conhecidas e apenas 4 foram praticadas. Das 6 orientações cognitivas, não houve diferença significativa entre os que conheciam e não conheciam, mas em 5 delas a maior frequência foi dos pacientes que não praticaram. Os resultados dos estudos indicam a importância de avaliar o cronotipo antes do planejamento de reabilitação, e a necessidade de se estimular o ritmo social a fim de contribuir para a melhoria dos padrões de sono de pacientes. Verificou-se também que em relação ao conhecimento e prática de orientações apresentadas muitos pacientes não conheceram ou não praticaram orientações importantes a respeito de hábitos de sono e de estimulação cognitiva, mesmo na fase crônica da patologia, sugerindo que mais políticas de educação em saúde devem ser implementadas com intuito de causar mudança nos hábitos de vida dos pacientes com AVC