Um estudo sobre a aprendizagem de números irracionais no ensino médio

The present study describes theoretical practical relationships between development and application of activities in Mathematics education. It s proposed a methodological approach to Mathematics in the first grade of Ensino Médio, supported by an experiment involving Irrational Numbers education by using constructive activities, applied obeying an educational sequence. Constructivism is used as an important theoretical reference in teaching learning process of Mathematics. The methodological intervention was done with two classes of students of the first grade of Ensino Médio, in two public schools, a state one and a federal one, located on the city of Natal, Rio Grande do Norte. The development, application and testing of the activities used on this experiment led us to think more profoundly about the value of constructivism ideas and understand that the use of activities that obey an educational sequence favors the learning. It s also discussed the research results, commented on a way to contribute to the advances of the proposal and it s more constant use. The participation and testing of the students were analyzed and judged using Skemp s Instrumental Understanding and Relational Understanding concepts. The results of the research were considered good, so we believe this methodological intervention can be used more frequently in the classes of Ensino Médio and also be applied to teachers in courses of initial education and continuous formation

O Programa Pró-Letramento e a formação de alfabetizadores: repercussões nas concepções e práticas de professores cursistas

This paper intents to investigate the repercussions of the Pró-Letramento - Alphabetization and Language Course Program in the practices and conceptions of alphabetization of learning teachers, according to their own perspectives. The program, part of the National Formation Network of the Education Ministry, in partnership with public universities since 2006, is destined to aid the formation of teachers acting in the first three years of public basic education, with the goal of qualifying them to work with alphabetization and improve quality of learning processes and results. This investigation adopted the qualitative research paradigm as well as the Case Study methodology, being our empirical field a Belém do Brejo do Cruz/PB public school. The subjects are five Program graduation female teachers, including the tutor-trainer and four graduated teachers that already teach in the first three years of basic education. The data, gathered with documental analysis, individual and collective semi-structured interview, and non-participant observation, were analyzed according with Speech Analysis principals. Based on those principals, we intersected teachers enunciations, observation sessions registries and the Program s propositions and built interpretations based on theorization taken as fundaments of the investigation, among which we highlight: studies on a criticalreflexive perspective of a teacher s formation; continued formation as a permanent development process; the principals of historical-cultural approach on alphabetization processes and development with the centrality of language; alphabetization in a interactionist approach. The analysis focused on the Program s repercussions: 1) in the teachers conceptions about: 1.1) learning; 1.2) Alphabetization and literacy; and in the practices and conceptions related to: 1.3) alphabetization in a literacy perspective and 1.4) appropriation of the writing system. The corpus analysis evidenced relations of continuity and discontinuity, approach and distancing between the teachers conceptions and the Program s propositions, as well as conceptions/significance of their speeches and related or observed practices. Observing teachers elaborations evidences the repercussion of the Program s formation, whilst also showing gaps and mismatches in their appropriation process in concepts/assumptions as well as teaching propositions. These mismatches involve interaction relationships between teachers and students, with their possibilities and limitations surrounding the Program s knowledge objects complexity, also linking to the social, economical, political, and cultural conditions that involve both the implementation of the Program in each context and the conditions in which alphabetization in public schools are developed, demanding permanent and accompanied formation processes, investments to improve work conditions and valuing teaching

Televisão em solo educativo: educando o olhar

This work supplies a reflection concerning the presence of the daily television in the children s lives. It points with respect to the necessity of the incorporation of the nature of the medias and information in the educative proposals in way to promote the approach of the two areas in the junction of its respective epistemologies. It considers the development of a visual acuity for the student staff, pointing out the paper of the educator as a promoter of this taken over on a contract basis. Therefore, we present a research of field, carried through in some public and private primary schools in Natal and other cities that are part of the Grande Natal , trying to show with what perspective the teachers use the languages in this stage of education, prioritizing the television elements. As elements of the collection of the information, we made use of half-structuralized interviews, beyond comments directed for the moments where the teachers used the television with educative intention. As results, we noticed that some considerable part of the involved educators still don t get to conceive the television as integrating part of the roll of the languages, using this resource in a limited way, restricting to the contact with sets of documentaries and essentially educative productions, besides the use of objectives directed toward the entertainment, forgetting the opened TV, present in the daily lives of the children since the tender age

Predição da maturação puberal de indivíduos do sexo masculino a partir de variáveis antropométricas

The methods of analysis of the selection system sports talent sometimes do not consider the biological age of the athletes, since that the assessment of maturational moment have several limitations The aim of this work is to develop a predictive equation of pubertal assessment in male subjects, based on anthropometric measurements. We evaluated 206 young boys, aged between eight and 18 years, and studing in public and private schools in Natal, Brazil. The sample selection was done randomly, being used the anthropometric measurements and pubertal maturation evaluation according to the Tanner stages. Statistical analysis followed the presentation of central tendency measures and their derivatives. The inferential analysis was performed according to the ANOVA test, multivariate discriminant analysis and weighted Kappa. The advancement of pubertal stages was accompanied by significant changes in anthropometric variables, demonstrating the relationship presented in both. For this purpose, discriminant analysis selected eight variables with the highest prediction of pubertal maturation, and created an equation with a significance level of 75%. and concordance level of 0.840, considered as excellent. This shows that the prediction of pubertal maturation from anthropometric variables presented as a valid method, being used as a practical tool in sports talents selection

Prática do enfermeiro do Programa Saúde da Família PSF na promoção da saúde do adolescente

Attention to the health of adolescents, based on paradigm flexneriano, needs to be overcome. Since the International Conference of Ottawa (1986), the literature is developing a discussion of the promotion of health, based on the paradigm of social production in health, suggests a design to overcome the health care traditional practices. Program Health of the Family PSF has this purpose to transmute the model of existing assistance, where the nurse is an essential element to the work done in the program. Around this context, it is our purpose to analyze the practice of nurse of the PSF for the promotion of health of adolescents, produced by a search of descriptive quantitative approach with the inclusion of qualitative data. Interviews were conducted with 9 nurses 3 units of health of the family USF, Mossoró-RN and applied questionnaires with 74 teenagers aged between 15 and 19 years old, with some nearby public schools where USF operate these nurses. The quantitative descriptions were transformed on tables, pictures and graphics using the program Excel (Microsoft) and the qualitative were worked through the technique of analyzing the content of Bardin (2004). The review was realized using the reference to promote health brought by the study. The results show that the most common problems that happen with teenagers are the drugs (33,8%), pregnancy (27,0%) and political problems-socio-economic-cultural issues (24,3%). Adolescents are spontaneous demand and rarely seek the USF. The actions presented by the nurses as, lectures and groups, are nothing comparing to the macro-problems presented by adolescents, and verticalized irregular. The nurses know the promotion of health generally, not explaining how operate it from its daily practice. Concluded that the practice of nurse of the PSF has not yet reach the promotion of health of the adolescent, being necessary to scheduling modules on the subject to continuous training of teams, professionals from USF, as well as teachers and other staff of schools, giving space to the participation of academic. The discussions should be socialized with the community to discuss possibilities of confrontation of the problems, which also require socio-structural changes. This research can contribute as work-diagnosis, which experienced the reality of care in nursing PSF to a specific group

Educação em saúde em hanseníase: estratégia na educação básica, Parnamirim/RN

Leprosy is an ancient disease that still stands as a public health problem worldwide, especially in the considered developing countries. Of these, Brazil still has large areas of endemicity. The disease remains high among those younger than 15 years old. In this group, the national index achieves 0.6 every 10 000 inhabitants and reaches 2 in the North and Midwest of Brazil. Therefore, the plan of the Ministry of Health is to prioritize the fight against disease in critical areas, providing early diagnosis and timely treatment, especially for patients under 15 years old. This research aimed to: identify the knowledge of students from three schools of basic education in Parnamirim/RN about the risk of getting ill in leprosy; conduct them health education on this topic. An exploratory-descriptive study with quantitative and qualitative nature. Data collection consists of two steps: questionnaire and health education on leprosy. The study was approved by the Research Ethics Committee (REC) of UFRN through the opinion nº 204/2009. Quantitative data obtained were organized, categorized, typed and submitted to the Microsoft Office - Excel for quantitative analysis with simple percentage. Qualitative data were subjected to a content analysis according to Bardin. The sample consisted of 164 students of basic education, most of which is: 1st year of high school, from 11 to 15 years, in the afternoon shift, female gender, skin color white and residents in the municipality of Parnamirim/RN. Still, each student living with four people curiously did not respond in relation to occupation of the father. But the same answered their mother as a housewife and a family income of one to less than four minimum wages. There have been significant results compared the performance of health education in leprosy. Initially, students possessed little knowledge about leprosy. Subsequent to health education, most knew the answer about the disease, transmission, cause, where to get help in case of suspicion of leprosy and the need for the people who lives with leprosy patients to also seek for help, the understanding about if it is treatable or not. Content analysis has established the following themes: axis I, what I do not know about leprosy: cure, fear and prejudice. Axis II, what I know about leprosy, we identified: cure, effectiveness of health education and social exclusion in the past. It is considered the scope of the proposed objectives by matching the effectiveness of health education on leprosy in basic education in Parnamirim/RN; emphasizes, therefore, the importance of understanding the knowledge of public school students. It is expected of them to detect early cases of leprosy in their communities; encourage adherence to treatment as quickly as possible; prevent disability; reduce the stigma surrounding the disease.

Gestão ambiental na educação: um estudo sobre fatores que afetam o comportamento ambiental de professores do ensino médio, na cidade de Floriano-PI

The present work sets out environmental issues in educational field. The aim of this research was to investigate the factors capable to influence the environmental behavior of the teachers in High school of the public school in Floriano, state of Piaui. For this, the methodology utilized an explanatory and descriptive search like a survey; questionnaires were applied with open and close questions establishing shifts that made up the following aspects; knowledge, behavior, responsibility, participation and trait of the teachers. The statistic techniques to analyze the data were descriptive analysis and analysis of multiple regression. The results reveal that teachers care about the real surrounding problems and believe that the school must develop ambient activities to stir the consciousness, it is important to the environmental improvement of the city. However, the results point out that are developed little activities related to theme concerned, besides the level of ambient consciousness given to the students are median. It was observed that teachers have little knowledge about theme like Agenda 21 and ISO14000. After identifying some factors of environmental knowledge, it was showed recommendations. The Agenda 21 recognizes in the educational field a mean of popular consciousness; the school should develop an education according to national policy of the environmental education

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

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

As Ciências Espaciais, o saber e o fazer docente no ensino fundamental

This study aims to include topics related to Space Science in elementary education from an experiment that aims to rescue the science teachers in public schools of São Tomé, RN, a taste for experimentation and exploration of advanced technologies. During this research with teachers found that they knew enough about the subject, but this knowledge was restricted to the events disclosed by the media. Regarding scientific knowledge, that same surface, they had many conceptual difficulties which hindered the approach of these topics in their classes. To overcome this difficulty, a workshop was held where teachers had the opportunity to discuss the historical aspect of Space Science, some physical concepts related to it, and the conduct of experiments with PET bottle rockets that recover from the curiosity typical of how the science. The results were outlined in the form of Planning Didactic built by teachers and using themes related to space science, from there, discussing content already provided in the composition of the schools curriculum. Therefore, this work allowed the teachers a minimum training required for them to not only reproduce, but readjusted and build, from this, their own paths in the classroom at the fundamental level

Construção e aplicação de uma sequência didática para o ensino de trigonometria usando software geogebra

The present study aims to analyze the potentialities and limitations of GeoGebra software on what concerns trigonometry s teaching and learning processes. Taking the present resources of public school from the state of Rio Grande do Norte, the research intends to answer the following question: Could we use the current conditions of public school and the Geogebra software to optimize the trigonometry s learning and teaching processes situation? . To make it a possible to answer the question above, a module of investigative activities was created and applied. The methodological intervention was made among second year High School students from a public school in Natal, RN. The theoretical reference of Mathematics Didactics was taken was a base, adopting the conceptions of Borba and Penteado (2001), Valente (1999) and Zulatto (2002, 2007) about the use of Information Technology (IT) on Mathematics classrooms. In order to create the investigative activities helped us to understand how the students make their constructions and their visual perception through the process of dragging images on the computer screen. Furthermore, the activities done with the GeoGebra software s resources facilitate the resolution of trigonometry situations

Obras complementares: um elo entre a leitura e os conteúdos matemáticos

The Federal Government through its Plans and Programs invests in various policies intended to achieve the main goal of the millennium, provide basic education for all. Among them, we highlight in this paper The National Textbook Program, with emphasis on Complementary Works. These works are presented through different genres, such as poems, poetry, short stories, parables, novels, literature, educational materials etc.. providing a range of possible teaching work. However, little is known about the levels of education of teachers as intended. Based on the discussions and studies in this direction, sparked concerns us in the process of teaching and learning in math classes. This made us pay attention to a possibility of study where reading could be included in this process. In this sense, the present study aims at investigating the potential of conceptual and didactic use of Complementary Works on developing the skills of reading and writing mathematics of the first three years of elementary school, and from there, propose a courseware with guidelines for use of these works by teachers of 1st to 3rd year of elementary school. For this, we outline the issues of reading and understanding of mathematical interests as those of our study. In this sense, the proposal was built from the bibliographic works that address the contributions of reading for learning mathematical content, like Machado (2001), Nacarato (2009); Dantas (2011), Smole and Diniz ( 2001). As a result, we created the Guidance for the use of Complementary Works for Teachers to Teach Mathematics with a view to support the practice of teachers and future teachers who teach mathematics. Supported the use of Complementary Works, especially those distributed in public schools by the National Textbook - PNLD and have mathematical content, this guide is intended to present some of the possible use of this feature in math classes. (Education Observatory - Capes / INEP. Ed. 038-2010. TELL Research Group - UFRN - PPGED / PPGEL / PPGECNM - PROPESQ)

Representações de professores de língua inglesa de Natal-RN: um estudo sistêmico-funcional

Teaching and learning representations have been more and more investigated in the Brazilian applied linguistics field, as it allows the understanding of the teachers representations and how they conceive the learning process. This practice facilitates the planning of actions to improve the educational system. This study aims at identifying, interpreting and discussing some representations related to the identity and professional view of English as a foreign language teachers in different school contexts of Natal-RN. The theoretical and methodological foundation for this research is Halliday s Systemic- Functional Linguistics (1994; HALLIDAY; MATHIESSEN, 2004; EGGINS, 1994, among others). Our goal was to reveal the teachers representations embedded in their language, mainly through the ideational metafunction, as language is the tool we use to express ourselves about the external world (events, qualities, things, etc) and the internal world (thoughts, beliefs, feelings, etc). The research corpus is made of 21 teacher narratives, generated from a questionnaire sent to the teachers, who were divided in two groups: Group 1 (public schools teachers) and Group 2 (private schools and English course teachers). Most of the participants seemed to be satisfied with their professional choice. Many of them see the job as a challenge and an opportunity to transmit knowledge. All of them affirmed that the English teacher is a professional, for different reasons; however, the low professional appreciation was a recurrent aspect among the studied narratives. When asked about where they work, the private school teachers seemed to be more satisfied with the teaching-learning process than the ones from the public schools. We believe that the data analyzed in this study is important to show how some English teachers from Natal-RN see their profession. The results might be used in continuing education courses as food-for-thought in group discussions, as it is extremely important to emphasize and stimulate this practice

Se inicia oração com pronome clítico? Atitudes linguísticas, na escola, em relação aos padrões brasileiros de colocação pronominal

Focusing on the empirical assessment issue, proposed by Language change theory (cf. cf. WEINREICH; LABOV; HERZOG, 2006; LABOV, [1972] 2008), this research assists to clarifying Portuguese teacher s attitudes in Natal- RN, regarding (a) to proclisis in three specific contexts: in the beginning of a simple/compound sentence (V1), after the subjects (SV), and proclisis after the secondary verb in complex verbal structures (V1V2); (b) to students who use such patterns in usage. Specific contexts were gathered thanks to their representing of the standard variety, as many studies have proven (Martins, 2012; Schei, 2003; Biazzoli, 2010, 2012). The research aims at: (i) verifying by means of a classroom assessment test, whether Portuguese teachers correct proclisis on referred contexts; (ii) identifying, via attitudinal tests what actions teachers take regarding to the usage of standards above mentioned, as well as students as users of those. Twenty Portuguese teachers, picked at random out of different of public schools in Natal-RN, responded to a classroom assessment test in addition to other two attitudinal ones. Results achieved point to a recurring high proclisis correction index of 50% in simple/compound sentences, even though such variety has been implemented to pronominal usage standards in Brazilian Portuguese. This setting of usage was generally assessed negatively, having no commonality between this assessment and the neutral one used by students. Unlike previous setting, the proclisis after subject did not receive any correction of the twenty teachers, what proves coherence with the positive evaluation both the varieties and the students attained. As for the second verb of complex verbal structures, proclisis correction went negative on presenting single results, despite their proximity, with correction indexes of 20% (infinite structures), 10% (present progressive structures) and 25% (participle structures). The assessment on these contexts of proclisis ranged between positive and neutral, also valid for the one students utilized. It means that proclisis in the beginning of simple/compound sentences are yet seemingly spotted in writing school scenario, much likely due to the negative evaluation, opposite to students . Later to subjects and earlier to secondary verbs in structures, proclisis appears to be acknowledged in writing school scenarios, which reflects on teachers assessment as compared to students who use proclisis in these contexts; being in general either positive or neutral

Leptinemia de jejum em crianças e adolescentes eutróficos

OBJETIVO: Determinar, em um grupo de crianças e adolescentes eutróficos, os valores de leptinemia de jejum e sua correlação com idade e Índice de Massa Corporal (IMC). MÉTODOS: Estudo de corte transversal realizado em duas escolas públicas de Ribeirão Preto, Brasil. Foram obtidos medidas antropométricas e amostra de sangue venoso em jejum para dosagem da leptinemia de 448 crianças e adolescentes eutróficos, maturadores médios, de ambos os sexos, com idades entre 7 e 17,9 anos. Utilizando-se o teste de Mann-Whitney foram realizadas comparações entre as concentrações obtidas para meninos e meninas em cada faixa etária. Posteriormente, utilizandose o teste de Kruskal-Wallis, foram comparados os valores em cada faixa etária e, por meio do teste de correlação de Spearman, foi avaliada a correlação entre a leptinemia de jejum e a idade e entre leptinemia de jejum e o escore z do IMC. RESULTADOS: O valores de leptinemia de jejum diferiram entre meninos e meninas em todas as faixas etárias sendo sempre mais elevados para as meninas. Entre os meninos, os valores de leptinemia não apresentam variação estatisticamente significativa; entre as meninas, observou-se variabilidade, com aumento progressivo de acordo com a faixa etária. O estudo de correlação, mostrou que a leptinemia apresenta correlação positiva com o escore z do índice de massa corporal em ambos os sexos. em relação à idade, observou-se correlação apenas entre as meninas. CONCLUSÃO: Os dados apontam para a necessidade do estabelecimento de curvas de referência para a leptinemia de jejum que levem em conta o sexo, a idade e o IMC.

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