Avaliação da aprendizagem no no contexto dos ciclos: sentidos da prática avaliativa docente

The present paper analyses matters about the assessment in the context of the school organization in cycles. The complexity that involves the assessment turns it into a difficult subject, since the evidence that the model supported by the traditional approach contributes to foil the fulfillment of new continuous and wide-ranging assessment practices, that are coherent with a view of learning as a process established in the student-teacher-knowledge interaction. This paper has as guidance the following questions: How did the introduction of the teaching organization in cycles happen in Fortaleza/ CE? How far are the teachers prepared to the introduction of the cycles system, specially in the way of thinking and practicing the assessment? What are the teacher s involvements with this project and with the continuous assessment in the cycles? What meanings do the teachers give to the assessment in this project? Therefore, were determined as objectives: to comprehend the meanings attributed to the learning assessment by the teachers in contact with the cycles in Fortaleza/CE; to identify assessment practices that are closer to a less qualifying perspective, more related to the students learning and to the educational intervention in order to improve this process. The methodological orientation chosen was based on the presuppositions of the comprehensible interview, with reference to the studies of the French sociologist Jean Claude Kaufmann, developed with 15 (fifteen) teachers of 15 (fifteen) schools of the state teaching system of Fortaleza/CE. It was considered, in the methodology, the word as a central fact in the consolidation of the object of study, what allows to conceive the teachers as active participants of this research and of the discussions about assessment. The analysis about the speeches in the interviews made possible to glimpse the meanings attributed to the learning assessment that are not related to the traditional paragon, in spite of the dilemma in which the participants of the research faced at the time of the introduction of the cycles in Fortaleza/CE. These meanings were created between the presence and the absence of the teachers knowledge that, in their way, interact with the changes caused by the obligation of the teaching organization in cycles, seeking a strategy of self-organization as a consequence of the search for new knowledge connected with the teaching

Avaliação da aprendizagem no curso a distância de licenciatura em ciências biológicas da Universidade Estadual de Pernambuco

In contemporary society, distance education is expanding, especially in the offering of courses of initiatory professor training. By the side of possibilities, there is the need to critically reflect on the government decision to finance, and even to incite distance education, as a more economic way to achieve, within different time and space, the greatest quantity of the population, trying to fill the gaps of the Brazilian school education. The research was made in the Biology Bachelor Course offered by the Pernambuco University (UPE), in the context of the Presential Support Pole of the Paraiba State University, located in the city of Campina Grande. Along this study, we intend to analyze the evaluation practice and the instruments of valuation available in the virtual environment of learning (AVA), used by the former professors in the learning evaluation of the contents offered by the reference course. The relevance of the discussion is to reflect about the results of distance education in the initial of the professor training. To perceive the possibilities and limitations concerning the technological resources available at the educational process, especially to the evaluation practice, is primordial in order to comprehend the contents of learning that can be explored by the professors and which is the dialogical relation that is firmed between professor, preceptor and student, in favor of the learning development and an effective and meaningful education. The qualitative research had the symbolic interacionism as a methodological-theoretical approach. We gathered informations through institutional documents, documental records, questionnaires and semi-structured interviews. Treating and analyzing the data we used the content analysis method (Bardin, 1977). As a theoretical basis, we relied on authors such as Zabala (1998, 1999), Aretio (2002), Hoffmann (2003, 2005), Silva, M. (2003, 2006), Belloni (2006), Luckesi (2008), Silva, J. (2008), Vasconcelos (2008) and Domingos (2009). It was evident the need to reflect about the educational practice of the professors and preceptors responsible for the academic distance learning, concerning the evaluation of the learning contents in a autonomous and innovatory way, identifying its influence in the development of values which are considered vital to a complete professor upbringing. The evaluation in a mediator approach is necessary to the reality of an online classroom, because of its character to promote the improvement of the action of the one who is teaching and the one Who is learning in an interactive, collaborative and cooperative perspective, seeking a transformative praxis. Involved in this formation, the bachelors will be able to promote the development of capacities and skills necessary to the complete learning of theirs future students, certifying the education for life, which is a perspective that includes the knowing, the knowing how to do and how to be, a living being with sustainable relations with the others and with nature

O processo avaliativo institucional de desempenho do sistema público municipal de Teresina-PI (2001 a 2005): entre a lógica da excelência e a lógica da aprendizagem

This work focalize the institutional and educational evaluation, aiming to investigate the Municipal System Institutional Evaluation Performance of Teresina City Piauí (2001-2005), and to reflect about Institutional System Performance and its contribution to compose a new learning evaluation practice. In this sense, classifies elements about the evaluation practice in two Elementary Education municipal public schools, involving Education Municipal Bureau technicians as managers, pedagogues, teachers and students. Based on the ethnographic studies principles in the educational area, the work employs investigative procedures like document analysis, interviews with groups and individuals and also participator s comments. Intending to comprehend the complexity produced by the institutional and education evaluation processes, the wok reveals the Institutional Evaluation legal and educational political basis and the several positions assumed by the Learning Evaluation, as a classification tool or as a learning enhancement. This work points, as results, to a evaluation culture bipolarity carried out by the Municipal Education System as a explicit control and regulation toll, related to the classification and learning in a interaction process that operates both in the pressure and the reflection, as a culture practice established between excellence of logic and learning. The evaluation history has been construct on the evaluation actions dialectics, joint simultaneously between the Institutional Evaluation Performance and the learning evaluation. The senses, meanings and actions bipolarity is a interaction process product sustained between the institutional evaluation, under the scholar ranking application, and the learning evaluation. In this relativity, the teacher evaluation practice is found, ruled by interesting, thoughts and actions on the school evaluation, allowing a higher security and support to the learning results. Grounded in the researched reality, its possible to say that the teacher s evaluation practice is diversified, with different characteristics, when it is done in the learning search and in the learning intention. In the first case, reflects, rearranges and constructs new actions that lead the student to produce learning. In the second, shows the will, the wish of learning, but is a weak action, producing a not really significant learning and development; as a result, remains the mark approach as a determinant in the student future. The work s hope is to contribute not just to rethink these two evaluations dimensions the institutional and the learning ones but also to organize the school and to improve the pedagogic process

Avaliação da educação física na escola: análise de uma proposta de intervenção

El presente estudio tiene como tema principal el debate sobre la evaluación de la escuela, específicamente la evaluación de la enseñanza y el aprendizaje de la educación física en la escuela. Presenta las tendencias pedagógicas que influyeron en los modelos de valoración de la educación en general y específicamente determinados que el proceso de evaluación en la escuela de educación física. Analiza la evaluación en educación física de una experiencia de enseñanza en la escuela pública. Para ello, hemos desarrollado la siguiente pregunta: ¿cuáles son las posibilidades de evaluación en Educación Física, teniendo en cuenta su significado y sus implicaciones en el proceso de enseñanza-aprendizaje que experimentan los estudiantes? Ya que era un problema se guían la reflexión sobre nuestra práctica docente, hablamos de la evaluación en Educación Física de cinco cuestiones esenciales para nuestra consideración, a saber: ¿para qué evaluar (razones) para evaluar la (las dimensiones del contenido ), al evaluar (momentos) se evalúa (estrategias metodológicas), que evalúa (responsable de la evaluación)? En este sentido, este estudio tuvo como objetivo discutir el proceso de evaluación en Educación Física, al reflexionar sobre su significado y sus implicaciones pedagógicas en la enseñanza y el aprendizaje de la educación física, y guiado por el informe de una experiencia de aprendizaje experiencia en una clase de 6 º y 7 º grado de la escuela primaria Escuela Fernandes Arcelina Estado, ubicado en la ciudad de Macaíba / RN. Hemos encontrado en este estudio que es la evaluación de la escuela es un proceso complejo determinado por muchos factores sociales,. Jurídica, cultural, estructural, y que sea útil para repensar el proceso de enseñanza-aprendizaje y su propia práctica docente También creemos que nuestro estudio se revela como una evaluación metodológica de las posibilidades. En ella, que se encuentra es posible evaluar en Educación Física que estudia no sólo los resultados de aprendizaje de los contenidos técnicos, habilidades y destrezas motrices, sino que nos permite analizar el rendimiento de los estudiantes en otras dimensiones de la integridad humana, como la las actitudes (valores), los conceptos, los aspectos afectivos y sociales

Mapa de Conteúdos e Mapa de Dependências:Ferramentas Pedagógicas para uma Metodologia de Planejamento baseada em Objetivos Educacionais e sua Implementação em um Ambiente Virtual de Aprendizagem

Furthered mainly by new technologies, the expansion of distance education has created a demand for tools and methodologies to enhance teaching techniques based on proven pedagogical theories. Such methodologies must also be applied in the so-called Virtual Learning Environments. The aim of this work is to present a planning methodology based on known pedagogical theories which contributes to the incorporation of assessment in the process of teaching and learning. With this in mind, the pertinent literature was reviewed in order to identify the key pedagogical concepts needed to the definition of this methodology and a descriptive approach was used to establish current relations between this conceptual framework and distance education. As a result of this procedure, the Contents Map and the Dependence Map were specified and implemented, two teaching tools that promote the planning of a course by taking into account assessment still in this early stage. Inserted on Moodle, the developed tools were tested in a course of distance learning for practical observation of the involved concepts. It could be verified that the methodology proposed by the above-mentioned tools is in fact helpful in course planning and in strengthening educational assessment, placing the student as central element in the process of teaching and learning

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 teoria de Dienes no ensino de transformação de medidas de comprimento, área e volume no curso de pedagogia

The study was aimed to test a teaching module on the Zoltan Paul Dienes theory, focusing on the content: The transformation of measurements: length, areas and volumes. The study based on constructivist theory consisted in a methodological intervention with students of the 7th period of the Course of Pedagogy, in Central Campus, Federal University of Rio Grande do Norte (UFRN). A preliminary study with 40 students called diagnostic evaluation found that students did not understand the concept of measurements transformation and its processing steps. The latter was performed only with the help of the table of measurements transformation with no understanding of the content. He applied a pretest, a set of activities and a post-test. The latter was used as a tool for evaluation of the student learning process. The answers of these ones were evaluated according to the concept of reflective abstraction of Jean Piaget, one of the authors who influenced the Dienes theory

Gestão escolar e alfabetização de crianças na escola pública

Dans le scénario actuel marqué par l'insuccès de l'école publique en alphabétiser les enfants, l'objectif de cet étude est d'analyser, dans le cadre d'une école publique (dont les enfants, d'après les numéros officiels, deviennent lettrés au cours des trois premières années), des actions de gestion scolaire qui favorisent le processus d'alphabétisation. Pour cela nous suivons les principes de la méthode qualitative et adoptons l‟études de cas. Le terrain empirique est une école publique de la ville de Parnamirim (RN) et les sujets sont sa directrice, la vice-directrice, trois enseignantes des trois premières années de l'enseignement fondamental, deux coordinatrices pédagogiques, deux parents et six enfants. Pour la construction des données nous adoptons le questionnaire, l'analyse documentaire, des entretiens semi-dirigés et l'observation non-participante. Les fondements théoriques qui servirent de jalon à nos interprétations se retrouvent dans les conceptions actuelles de gestion éducationnelle et d'alphabétisation, ainsi que sur le processus d'apprentissage et de développement et pratique éducative. Dans cette étude, le concept de gestion est pris comme manière de dépasser la perspective bornée, bureaucratique, comme condition fondamentale de la qualité d'enseignement et de transformation de la propre identité des écoles, des systèmes d'enseignement et de l'éducation brésilienne; un concept déposé sur (et à partir de ) la mobilisation dynamique des sujets humains organisés collectivement. L'alphabétisation d'enfants est comprise en tant qu'enseignement-apprentissage du langage écrit dans une processus qui entoure deux dimensions indissociables: l'appropriation du système d'écriture alphabétique et le développement d'habilités/pratiques textuelles, dont les spécificités de développement impliquent systématisation et internationalité, caractéristiques de l'école en tant qu'institution éducative. A travers l'analyse des données fondé en quelques principes de l'analyse de contenu nous constatâmes que la gestion de l'école objet de la recherche, bien que marquée par des contradictions, développe des actions qui exercent un rôle fondamental dans les processus et résultats de l'apprentissage de l'écriture par les enfants. Ayant identifié les actions, nous construisîmes les catégories suivantes: 1) Actions relatives à l'organisation de l'école comme institution; 2) Actions relatives à organisation du processus enseignement-apprentissage; et sous-catégories: 1.1 Création et manutention d'infra-structure adéquate; 1.2 Promotion du travail collectif et autonome des professionnels; 1.3 Construction/formation permanente de l'équipe de professeurs; 1.4 Participation des parents dans la dynamique de l'école; 2.1 Disponibilité de ressources pour l'apprentissage; 2.2 Systématisation de la planification du processus enseignement-apprentissage e 2.2.1 Systématisation de l'évaluation de l'apprentissage. La catégorisation construite, bien que sa réflexion, signale que les actions qui favorisent l'alphabétisation des enfants s'approchent des conceptions d'une éducation de qualité sociale et de la démocratisation de l'éducation, bien que la propre institution de la gestion de l'école ne soit, pas encore, démocratisée. Notre étude réaffirme que la gestion de l'école, comme tout pratique humaine et sociale, a un caractère essentiellement contradictoire, inachevé et lacunaire, mais qui, jusqu'aux limites des contradiction, l'on trouve des possibilités, mises en évidence dans les actions de la gestion intimement articulées avec le succès de l'apprentissage et qui, par conséquent, peuvent construire une référence pour la réflexion sur les pratiques de gestion de l'école engagées engagée avec l'apprentissage et avec l'alphabétisation des enfants

Um framework conceitual para apoiar a instrumentação da avaliação formativa da aprendizagem em jogos digitais

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Vocabulário técnico e formação dos profissionais da área têxtil: necessidade, elaboração e avaliação de um dicionário de terminologia do vestuário

This research work deals with the compilation of a dictionary on clothing terminology intended to be used as a pedagogic tool as part of the teaching and learning process in the Textile Engineering Course at the Federal University of Rio Grande do Norte. The main terms were selected and assessed by a team of textile teachers and students with the objective to be structured as a conceptual body of information on the following sub-areas of clothing terminology: materials (fabrics and trimmings) and products (garments). This research comprises three main steps: (a) characterization and understanding of the technical vocabulary in the clothing area as well as the identification of a pedagogic demand for a dictionary on clothing terminology, clearly expressed by the textile lecturers and students involved in the assessment of the need and validation of this project development; (b) a proposal for a specific methodology for the compilation of the dictionary which could help the communication process in the lecturing of clothing terminology and (c) based on the terminological principles and the technique of focal groups the dictionary was assessed. The technique of focal groups was used in the first step. In the second step the technique used was that of the terminological methodology adapted to the teaching approach in the Textile Course. In the third step the technique of focal groups was again utilized. It was observed that the main concern of lecturers and students is the lack of a standardized vocabulary, which renders difficult the communication process in both the teaching and learning activities as well as the professional ones in the textile industries. Various aspects, which can overlap, cause this lack of standardization. The main ones pointed out by the study team in the focal groups are: usage of regional words or expressions, usage of foreign words or expressions, analogies, and the low level of formal education, mainly among the industry workers. Another aspect to be considered is the lack of textile literature written in the Portuguese language of Brazil. This evidence shows the importance of a clothing terminology dictionary which will benefit both the education and professional activties in this field of knowledge. This dictionary will also give a substantial contribution to terminological standardization in our research field. With view to fulfill this demand, a dictionary of clothing terminology was compiled with 760 main entries, according to the modern practice in terminology with the necessary modifications concerning our needs. The result of the dictionary assessment was very assertive regarding its structure, contents and possible use in various contexts. The team work emphasized their contribution to the standardization process of the terms that proved to be one of the most important and difficult aspects of this researh work. The significance of this structured terminological dictionary was confirmed by the focal group participants relating to its use for teaching and learning activities, as a reference book, as a source of technical information and also as a tool for pedagogic studies and planning, as well as a significant collaboration to the pedagogic practices in the textile engineering course at University or any other educational institution. Besides, this dictionary can also be used to supply information within the textile field. We are aware that the present work will not exhaust the objectives of this research due to its limitations in opposition to the vast complexity demanded by the compilation of a complete work including all the areas and sub-areas of textile engineering. However, it is an important source for dissemination of concepts on the field of clothing terminology and a tool to effective standardization of the terms used in this subject field

O processo de aprendizagem de professores do ensino fundamental: apropriação da habilidade de planejar situações de ensino de conceitos

La investigación fue realizada con profesores de los años iniciales de la enseñanza básica, alumnos de la carrera de Pedagogía Licenciatura Plena del PROBÁSICA de Ceará-Mirim (RN). Tuvo como objetivo general el estudio de lo proceso de apropiación de esa habilidad, segundo las siguientes perspectivas teóricas: históricocultural, de L.S. Vygotsky, teoría de la actividad, de A.N. Leontiev, y la teoría de la asimilación por etapas mentales, de P. Ya Galperin. La metodología se desarrolló organizándose en tres etapas: el diagnóstico inicial, con el análisis del nivel de desarrollo de la habilidad de los profesores; el proceso formativo, con la orientación del aprendizaje, el control y la evaluación del desarrollo; y el diagnóstico final, con el análisis del nivel alcanzado en la experiencia. Los instrumentos utilizados fueron: un cuestionario, para la caracterización de los sujetos de la investigación, el planeamiento de enseñanza de los profesores y el diario de clase, donde se registraba lo que ocurrió en cada orientación y realización del proceso formativo. Los resultados referentes a los niveles iniciales del desarrollo de la habilidad han revelado un grado de espontaneidad en el planeamiento de enseñanza de los conceptos. Durante el proceso de enseñanza y aprendizaje, los profesores han expresado sus dificultades, pero también las posibilidades de mudanza para que alcanzaran un nuevo nivel de desarrollo. Para el análisis del nivel inicial y del desarrollo de las habilidades de los profesores para planificar situaciones de enseñanza con la definición y con la identificación, fueron utilizados los siguientes elementos: el dominio del concepto, el dominio de esos procedimientos lógicos y las categorías del planeamiento (objetivos, contenidos, estrategias de enseñanza, control y evaluación). En cada etapa surgieron obstáculos, pero también aspectos que han revelado la posibilidad para aprender una nueva forma de planear, con apropiación de nuevos fundamentos teóricos. La práctica docente se constituyó en un elemento que facilitó la comprensión y la apropiación de las habilidades de planear situaciones de enseñanza de conceptos mediante la definición y la identificación

A Internet como tecnointeração da aprendizagem: valorização da cultura e identidade juvenil

The present study investigates Internet as technological interaction in the school environment as a resource of the teaching-learning process. It aims to discuss the lack of synchronicity between proposals of educational access for Internet use and types of access and interaction applied by youngsters. For the development of this research, I resorted to a qualitative, descriptive and explanatory research focused on a group whose subjects are youngsters from eleven to fifteen years of age in a catholic school which belongs to a group of private teaching schools in Natal city, Rio Grande do Norte state. As methodological option it focus on a group and the observation of its participation, discourse analysis and ethnography, considering facts and data of the pedagogical practice concerning the focused theme, besides the attempt to know the youngsters everyday at school and the relationship between them and juvenile cultures. It recognizes the existence of two moments of the focused group: the first related to internet use like technological interaction; the second concerns to the way Internet is problematic as technological interaction in classroom learning. While contacting with youngsters, the study discusses the concepts of Media Environments, Culture, Identity, Network, Consumption and Citizenship. It recognizes that it is relevant for the school to consider Internet a pedagogical tool, directed not just at research, but mostly as learning environment and as learning construction in a collaborative way. It points out the need of approach between school and media environment, reevaluating the pedagogical practice, offering a new evaluation proposal (self-evaluation). It suggests a renewal in the teacher's pedagogical practice in the classroom and using Internet, valuing the connection between technological interaction and communication as motivation elements of student s learning construction and their effective participation in decisions involving citizenship. It gives priority to educational work directed at the establishment of dialogic relationship between codes, learning and contents, leading to the new findings domain in the media environment, enabling the development of abilities and performances directed at the recognition and consumption of information from a critical reading of the media

Avaliação do programa escola ativa como política pública para escolas do campo com turmas multisseriadas: a experiência em jardim do seridó/rn (1998-2009)

This work aims at developing an evaluation of the implementation of the Program Escola Ativa as a public policy for rural schools with combined grade classrooms in Jardim do Seridó RN (1998 2009) focusing on the following dimensions: school s physical environment, training, follow up, and didactic usage of the methodology. In order to develop this research we refer to the literature that analyzes the cycle of policies (FREY, 2000). In this approach, evaluation represents an important step in the process of analyzing the implementation of public policies, as a way of measuring up their performance, as well as a guide for realignments and redefinitions (PRESSMAN; WILDAVSKY, 1998). In order to accomplish this function, the evaluator of policies must be acquainted with scientific concepts and methods that consist of describing, interpreting and analyzing the policies in the governmental sphere (MENY; THOENIG, 1992; LIMA JÚNIOR, 1978). In this perspective, we intend to investigate whether in its proposition of minimizing the blanks in the Brazilian educational system, the implementation of the Program would be contributing to the improvement of the political-pedagogical practices in the rural schools with combined grade classrooms in Jardim do Seridó RN. In order to do this research, we have developed a theoretical-methodological matrix made of analysis dimensions, variables, indicators and instruments, such as literary revision, documental analysis, semi-structured interviews with four teachers and three supervisors that work and/or have worked in Escola Ativa in that town in the period comprised among 1998 2009, besides notes taken from field observation and photographs from four rural schools with combined grade classrooms. With this research we have identified that the Program, at a national level, has gone through different phases in its implementation process, for the town was not ready to fully take the responsibilities of the autonomous expansion, in 2002. From that period on, the execution of Escola Ativa has suffered several discontinuities, such as the lack of professional training and supervising. It is also noted that the methodology contributes to the dynamization of the didactic-pedagogical activities and promotes the cooperation and autonomy of the students in the organization and the applicability of the components of the curriculum, especially of Governo Estudantil and Cantinhos de Aprendizagem. Although the directions of the Program (BRASIL, 2005) point out that Escola Ativa has among its principles social transformation, we identified that, isolated, the initiative is not capable of promoting the changes that the rural schools need, namely investments in the physical, material, pedagogical and technological infra-structure, besides the estimation and a career plan for the teachers. In a general draft of the results of this research, we realized that some aspects presented about the peculiarities of Escola Ativa in Jardim do Seridó as a governmental Program, reinforce the need for the public policies to be evaluated, in order to confront critic and operationally the planning with the practice, revising action, whenever necessary

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