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

Um estudo sobre a aprendizagem de alguns conceitos algébricos e geométricos

The objective of the present work was develop a study about the writing and the algebraic manipulation of symbolical expressions for perimeter and area of some convex polygons, approaching the properties of the operations and equality, extending to the obtaining of the formulas of length and area of the circle, this one starting on the formula of the perimeter and area of the regular hexagon. To do so, a module with teaching activities was elaborated based on constructive teaching. The study consisted of a methodological intervention, done by the researcher, and had as subjects students of the 8th grade of the State School Desembargador Floriano Cavalcanti, located on the city of Natal, Rio Grande do Norte. The methodological intervention was done in three stages: applying of a initial diagnostic evaluation, developing of the teaching module, and applying of the final evaluation based on the Mathematics teaching using Constructivist references. The data collected in the evaluations was presented as descriptive statistics. The results of the final diagnostic evaluation were analyzed in the qualitative point of view, using the criteria established by Richard Skemp s second theory about the comprehension of mathematical concepts. The general results about the data from the evaluations and the applying of the teaching module showed a qualitative difference in the learning of the students who participated of the intervention

Avaliação da Usabilidade de Interfaces Web segundo Critérios Ergonômicos de Bastien e Scapin: Pesquisa com os Ambientes Virtuais de Educação à Distância Aulanet, E-Proinfo e Teleduc

Este trabalho tem dois objetivos: avaliar a usabilidade de três interfaces de ambientes virtuais de educação à distância através de duas técnicas avaliativas e identificar os fatores influenciadores da percepção de usabilidade dos ambientes avaliados. Os sistemas de educação à distância escolhidos foram o AulaNet, o E-Proinfo e o Teleduc, por serem desenvolvidos no Brasil e terem distribuição gratuita. A avaliação da usabilidade foi realizada através de duas técnicas documentadas na literatura. A primeira técnica de avaliação, do tipo preditiva ou diagnóstica, foi realizada pelo autor e um concluinte do curso de Sistemas de Informação do Centro Federal de Educação Tecnológica do estado do Piauí (CEFET-PI), mediante a observação de um checklist denominado Ergolist. A segunda avaliação, do tipo prospectivo, foi efetivada com o usuário sendo o próprio avaliador das interfaces, através de um questionário. A amostra foi composta de 15 professores e 15 alunos do CEFET-PI. Os resultados colhidos foram analisados a partir da estatística descritiva e testes de chi-quadrado. Os resultados mostraram que os ambientes apresentarem problemas de adaptabilidade, pois não possuem flexibilidade e nem levam em consideração a experiência do usuário. Na análise inferencial, foi constatado que o tempo de uso da Internet não afetou significativamente sua avaliação da usabilidade dos três ambientes, assim como na maior parte das variáveis de usabilidade não foram influenciadas pelo tipo de usuário , sexo e escolaridade . Por outro lado, em vários dos critérios ergonômicos avaliados, as variáveis de sistema tipo de ambiente e experiência com computador e a variável demográfica faixa etária afetaram a percepção de usabilidade dos ambientes virtuais de educação à distância

Balanced Scorecard como ferramenta de avaliação da consistência estratégica: um estudo em instituição de ensino superior privada

This Master of Science Thesis investigates in an exploratory modeling the idea of strategy consistency applying as an assessment tool a model of performance indicators of a higher education institution based on the balanced scorecard (BSC). It is carried on a review of conceptual BSC perspective hierarchy models and of studies on higher education institution in Brazil and worldwide. From a BSC model with three indicators at each perspective is carried on a case study with directors and coordinators of a private higher education institution with a descriptive and multivariate analysis using cluster analysis. The main findings point to a different perception of respondents on the importance level of the perspectives with a higher importance level given to Learning and Growth and Process that to Customer and Financial. Particularly, the financial perspective got a importance level significantly lower that the others, what suggests an inconsistency on the strategy deployment on the institution considered in terms of the perception of the managerial levels of the importance level of the perspectives

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

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

A Informática como recurso didático para a aprendizagem de Física no ensino médio

The accomplishment of this work was motivated by our concerns, while teacher of Physics discipline, in the medium teaching and in the higher education, where we have been observing a lot of difficulties in the students' acting, to the they try to give pursuit out to their studies of the classroom, because of the lack of appropriate equipments, or even, of a laboratory where they can put in practice the studied contents. The work aims at to build and to test an educational software that it serves as tool auxiliadora in Physics learning in the Medium Teaching, in the area of electricity, with emphasis in the study of the electrodynamic in resistors. The developed software comes as an alternative to the learning problems, putting the computer science as auxiliary tool, because, besides being an alternative in the middle of the technological expansion, endowed with several resources, it stimulates the significant learning, according to David Ausubel's perspective. A software containing a program destined to the applicability of physics contents in the branch of the electricity is presented as an auxiliary tool, where the student can, not just, to review the contents presented at room, as well as for in practice, through a virtual laboratory, some of these contents, besides testing their knowledge through a bank of discursive subjects. The evaluation of the developed software was made submitting him/it to the professionals' of physics area appreciation. Equally, through continuous evaluations, they were made comparisons among the students' of five different groups acting, in the same school, that you/they were used of the program as tool of his auxiliary learning, and the acting of those that didn't use it

Investigação histórica nas aulas de matemática: avaliação de duas experiências

This study reflects on some procedural aspects about the development of mathematics learning from the experience with investigative activities concerning the resolution of second degree equation, which was tested a proposal for education, supported the use of texts in history of mathematics. The survey was conducted in two stages, taking the first-served basis for the second, which was carried out with a study group remainder of the first experiment. The intention was to investigate how the group participant, known as the study group, involved in the implementation of activities of research in mathematics, supported the use of the history of mathematics. Based on the results achieved during the study, it was possible to understand that the activities of research enable the development of students, range of learning mathematics and the development of skills and expertise for research as a vehicle for construction of their mathematical knowledge. This approach proposed research into the classroom is important, both for prospective teachers of mathematics and for students from elementary school, bringing a new phase for mathematical education that will come to schools

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

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

Avaliação do programa de tutorização da EMATER-RN para servidores em estágio probatório

The present thesis evaluated the contributions and limitations of the tutorship program introduced in EMATER-RN, as a tactic of organizational socialization for civil servants in probationary stage. Tutorship was understood as an intensive and continuous relational process, in which a more experienced person in the organization the tutor offers psychosocial support, stimulates the development of the professional career and enables to the newcomer the tutee learning on job performance. The organizational socialization was considered in the perspective of the symbolic interactionism. The study was characterized as a program evaluation and as an action research. The practical interventions for the program implementation were conducted and, at the same time, the evaluations of process, results and reaction to the program were applied. Among the major contributions of the action research, it stood out: the diagnosis of reasons for the formation of the pair and of expectations of tutors and tutees, the improvement of the tutorship registration tools, the ascertainment of the success of the program in the socialization of the new civil servants, the confirmation of the importance of the compatibility among them and of the adequate performance of tutorship functions for achieving its benefits. Based in constraints of the program, one may quote as essential recommendations: the formation of a technical team supporting the program, the clear establishment of deadlines for each procedure and the reinforcement to its compliance, the investigation of the functions performed by the tutor, the sensitization of the managers to the resolution of problems that affect the program, the voluntary participation of the tutor and the continuous meetings of tutors and tutees. One settles for the relevance of the program and in favor of its continuation, provided that its improvement and systematic management are conducted.

Estratégias de aprendizagem utilizadas por estudantes cegos

Learning strategies can be understood as a planned sequence of procedures or activities, selected in order to facilitate the acquisition, storage and use of information. Although important to the learning process, the knowledge on these strategies is still insufficient, especially with regard to students with visual impairments. Therefore, this study aimed to characterize learning strategies used by blind and sighted students, registered in elementary education in schools and special institutions. Were participants 23 teachers, male and female, aged between 26 and 51 years, and 102 students, of whom 25 were blind and 77 seers, of both genders, registered on the 3rd to the 9th grade of elementary school, aged 7 to 16 years old. The instruments used were: field diary (students and teachers); structured questionnaire (teachers); sociodemographic questionnaire, interview and Assessment Scale of Learning Strategies for Elementary School (students). Initially were made observations in the classroom and the teachers received the questionnaires, with instructions for completion. Then were made the interviews with blind students and the scale was administered with these and with the seers. All instruments were administered individually. We conducted content analysis of the questionnaires with teachers and the interviews with blind students. The scale of strategies and sociodemographic questionnaire were analyzed with the help of descriptive and inferential statistics. It was noticed that the blind students use few learning strategies in the classroom, regardless of city, series, sex or age. It was found that teachers didn t receive training to deal with blind students, either during graduation or after have completed it, in such a way that few of them were able to inform about the learning strategies the students use, and demonstrated low ability to deal with these inefficiencies. It was also found that the blind and the sighted use cognitive and metacognitive strategies during learning, but those used by the blind seem to be more basic, low complexity, given that the seers have achieved higher scores on all subscales. We conclude that the repertoire of learning strategies for blind students is inflexible, requiring increments so that they can achieve significant results. It is important that teachers receive training to understand the learning strategies and how they positively influence learning

Aprendizagem na interação ensino-serviço-comunidade: a formação na perspesctiva dialógica com a sociedade

Considerando o papel do ensino superior em saúde para a sociedade brasileira, em que os egressos dos cursos ofertados na área serão os profissionais prestadores de serviços à população, este estudo objetivou analisar o componente ensino do PET-Saúde da Família - Natal-RN na formação de estudantes dos cursos de graduação em saúde da UFRN. Foi realizada pesquisa qualitativa com análise de documentos das disciplinas SACI e POTI datados entre 2009 e 2011 (portfólios, avaliações de desempenho e oficina de avaliação), mediante o auxílio do software Alceste© e análise de conteúdo, segundo Bardin. Na análise foi encontrado como potencialidades: o alunato trabalhando em grupo tutorial multidisciplinar, cuja interação e contato com a Unidade de Saúde da Família, incluídos os profissionais, bem como a comunidade, instiga nos aprendizes o diálogo consigo mesmo e com o outro, numa construção dos ser/agir no mundo. Os textos trabalhados durante as aulas permitem refletir e teorizar a respeito da realidade observada, auxiliando-os na identificação dos problemas e no traçar estratégias de intervenção. Já a observação da realidade reveste o aluno de humanização. Este passa a captar as necessidades e dificuldades enfrentadas pela comunidade observada. Nas fragilidades ficaram evidenciados: problemas de relações interpessoais entre os estudantes da SACI; a maioria dos projetos de intervenção ocorrendo numa perspectiva paternalista, reproduzindo o modelo de prestação de serviços na saúde mais praticado nas sociedades brasileiras; dificuldades em aprofundar no aprendiz, a importância da teorização dos assuntos; problemas de financiamento de projetos de intervenção; descumprimento do plano de ensino em alguns grupos tutoriais; e, por fim, dificuldades dos alunos e monitores em acompanhar as atividade de pesquisa e extensão do PET-Saúde, pela falta de integração dos projetos pedagógicos dos cursos. Conclui-se que o componente ensino do PET-Saúde da Família adota metodologias ativas de ensino na inserção de alunos na Atenção Primária em Saúde, proporcionando uma formação dentro de princípios éticos e humanísticos a partir do trabalho em equipe e da inclusão reflexiva dos alunos na Estratégia Saúde da Família. Apesar da existência de fragilidades concernentes às relações interpessoais, descompasso entre as proposições multiprofissionais e interdisciplinares da SACI e POTI e as dificuldades de pô-las em prática em currículos fragmentados e organizados por disciplinas pouco flexíveis, potencialmente, ao fim dessas experiências conectadas a Atenção Primária, os discentes apresentam uma nova visão do cuidado com a saúde, próxima às necessidades da população, iniciando uma tomada de postura crítica e reflexiva, entendendo-se com sujeitos ativos no construir a saúde coletivamente

Avaliação e intervenção da disortografia baseada na semiologia dos erros: revisão da literatura

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)