Geometrizando no segundo ciclo :relato de uma intervenção pedagógica voltada à construção de conceitos geométricos no ensino fundamental

This work has proposed to relate the experience product of a pedagogical intervention, performed in a public institution of teaching situated in this capital. It had as objective to validade the applying of a teaching module of geometry, more specifically about the conceptions of perimeter and área in the second cycle of fundamental teaching. This dissertation has presented the problematic which involves the teaching of geometry in different contexts. It has adopted the broach of the radical constructivism while methodological theoretical referencial through which it has tried to explain the phenomena that involves the teaching and the apprenticeship. It appropriates Jean s Piaget contributions related to the development stages, while referencial that will dialogue in the search by sense and comprehension of the geometric apprenticeship process and it runs over Richard s Skemp (1980) theory in order to explicit the student s apprenticeship according to the levels of instrumental comprehesion and relacional comprehension . The research has presented datum related to initial diagnosis evaluantion, the pedagogical intervention and analysis of the activities and students perfomance displaying still the results of the final evaluation. According to the results got, we could check the students group growth front to the acquisition of the concepts of perimeter and área in comparison with the previous knowledges presented in the initial diagnosis evoluation of the students participants of the research. We have concluded evaluating the objectives of the research, connecting the strategies and reasoning employed by the students in order to resolve the questions and then to reach the objectives proposed by the teaching module. We have presented still the main obstacles to the apprenticeship of such concepts

Corporeidade, dialogicidade e virtualidade: desvelando a aprendizagem

Cette étude essaie d offrir des contributions pour la construction de connaissance concernant à la corporeité et dans l espace virtuel. À travers des processus interactifs elle propose la construction la production de nouvelles possibilités/stratégies pour la production de connaissance, en adoptant une pratique éducative spécifique: apprendre dans l éducation à distance (EAD). L apprentissage est le centre de ce travail, les acteurs les élèves sont sujets de l action et de la transformation selon la penseé de Paulo Freire et Corpo-vivido dans sa totalité, selon Marleau Ponty. Ce dialogue vif et révecu fait un parcours méthodologique à partir des interlocutions de Pierre-Lévy (1993,1996). On a réalisé une trajectoire pour se représenter, renvoyer, dialoguer et mettre en perspective, en ayant comme point de départ les attributs communicatifs et imagés des matériels d étude utilisés par l EAD, les changements socioculturels provoqués par des possibles dépassements paradigmatiques manifestés dans la société informations et de la communication, et les présuppositions théoriques qui sont ancréesdans les formulations des stratégies et/ou de propositions méthodologiques et comme élément intervenant dans le processus de construction de la connaissance à distance: le sujet de la corporeité. L espace empirique de la recherche est donné à l intérieur du cours TV na Escola e os desafios de hoje , et presenté dans la période de 2000 à 2004 dans l État du Pará. Le texte a été divisé à quatre chapitres. Le premier moment du texte parle de la métaphore de la Fleur et de l organisation du travail. Le deuxième moment systématise ce qui a été projeté pour donner une vision du travail dans l ensemble. Le troisième moment apporte des mots et des concrétisations qui deviennent réelles dans le Desvelando o corpo e o diálogo: a Flor da aprendizagem percebida , en reflétant sur la corporéification du mot s en allant à la rencontre et à la participation d'un apprentissage de dialogue. Et finalement le quatrième moment où nous parcourons la culture de la potentialité de la modalité de l'enseignement à distance, faisant le portrait en arrière plan de l'étude tout en mettant en évidence l'étude du phénomène dans le cours "TV na escola e os desafios de hoje" les paroles des sujets et leur interlocutions. A Flor numa totalidade englobe dans une totalité les moments qui le précedent et invite tous les autres moments à d autres révélations

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

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

Globos e mapas ao alcance das mãos : ensino de matemática numa perspectiva de alfabetização funcional na EJA

The following dissertation has as its main advantage the privilege of visualizing the literacy processes through the angle of the functional perspective, which does not see the literary process as a practice solely based on the decoding of alphabetical codes, and then allows for the opening of ample spaces for the allocation of mathematical skills in the realms of the functional literacy. The main object of this study was to investigate which are the contributions that a sequence of activities and of methodologies developed for the teaching of Geometry could provide for a part of the functional literacy process in mathematics of youngsters and adults of EJA, corresponding to the acquisition or to the improvement of skills related to the orientation capacity. The focus of the analyses consisted in the practice of these activities with the young and adult students of an EJA class belonging to a municipal public school of Natal/RN. The legacies of Paulo Freire about the redimensioning of the role of the teacher, of the students, of the knowledge and of their connections within the teaching-learning process, prevailed in the actions of the methodology implemented in the classroom and, especially, in the establishing of dialogic connections with the students, which directed all the observations and analyses regarding the collected information. The results indicated that the composition of articulations between the teaching of mathematics and the exploration of maps and the earth globe enabled the creation of multidisciplinary learning environments and situations, where we could observe, gradually, the development of procedures and attitudes indicating the evolution of space-visual type skills

Reflexões sobre a construção e evolução de conceitos geométricos nas séries intermediárias do ensino fundamental

This thesis represents a didactic research linked to the Post-graduation Programme in Education of the Universidade Federal do Rio Grande do Norte which aimed to approach the construction of the geometrical concepts of Volume of the Rectangular Parallelepiped, Area and Perimeter of the Rectangle adding a study of the Area of the Circle. The research was developed along with students from the 6th level of the Elementary School, in a public school in Natal/RN. The pedagogical intervention was made up of three moments: application of a diagnostic evaluation, instrument that enabled the creation of the teaching module by showing the level of the geometry knowledge of the students; introduction of a Teaching Module by Activities aiming to propose a reflexive didactic routing directed to the conceptual construction because we believed that such an approach would favor the consolidation of the learning process by becoming significant to the apprentice, and the accomplishment of a Final Evaluation through which we established a comparison of the results obtained before and after the teaching intervention. The data gathered were analyzed qualitatively by means of a study of understanding categories of mathematical concepts, in addition to using descriptive statistics under the quantitative aspect. Based on the theory of Richard Skemp, about categorization of mathematical knowledge, in the levels of Relational and Instrumental Understanding were achieved in contextual situations and varied proportions, thus enabling a contribution in the learning of the geometrical concepts studied along with the students who took part in the research. We believe that this work may contribute with reflections about the learning processes, a concern which remained during all the stages of the research, and also that the technical competence along with the knowledge about the constructivist theory will condition the implementation of a new dynamics to the teaching and learning processes. We hope that the present research work may add some contribution to the teaching practice in the context of the teaching of Mathematics for the intermediate levels of the Elementary School

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

Educação inclusiva e formação continuada: contribuições dos casos de ensino para os processos de aprendizagem e desenvolvimento profissional de professores

This study focuses on processes of learning and professional development experienced by elementary school teachers who have students with special educational needs in their classrooms. Cases and case methods can be used as methodological resource to articulate the continued training of teachers in an inclusive perspective. This research-intervention adopted a constructive-collaborative model for continued teachers formation. The main objective was to investigate the possible contributions of teaching cases, while investigative and formative strategies, for the processes of learning and professional development of teachers who work in the regular school. The data were collected by means of analytical activities, drafting collective discussion and teaching cases, having eight teachers as participants in a regular public school, located in the municipality of Natal/RN, Brasil. The theoretical reference covers the inclusive education, teaching learning, teachers professional development, the knowledge base for teaching and teaching cases as a resource for continued teachers formation in an inclusive perspective. The results indicated that teaching cases allowed description and analysis of educational practices developed by regular education teachers and adoption of reflective processes about situations reported and on their own pedagogical actuation, achieving indications of changes. It also indicates the contribution of cases for the clarification, systematization and extension of professional knowledge about inclusive education process as well as for involvement by the teachers of the study in a pedagogical thinking process. The lessons learned are related mainly to own role as teachers of regular education, to the role of professional support and specialized institutions faced to school inclusion. The analyses showed the methodological option was suitable to develop a schoolcentric training process, allowing teachers to seek in their actual environment alternatives for construction of a new logic of teaching that encloses diversity. The conclusion is that the cases, while bringing educational situations closer to the reality experienced by teachers in their daily professional role, causes relevant improvement on teachers education, because it offers training in conjunction with the experience and knowledge that teachers already have

Educação inclusiva e formação continuada: contribuições dos casos de ensino para os processos de aprendizagem e desenvolvimento profissional de professores

This study focuses on processes of learning and professional development experienced by elementary school teachers who have students with special educational needs in their classrooms. Cases and case methods can be used as methodological resource to articulate the continued training of teachers in an inclusive perspective. This research-intervention adopted a constructive-collaborative model for continued teachers formation. The main objective was to investigate the possible contributions of teaching cases, while investigative and formative strategies, for the processes of learning and professional development of teachers who work in the regular school. The data were collected by means of analytical activities, drafting collective discussion and teaching cases, having eight teachers as participants in a regular public school, located in the municipality of Natal/RN, Brasil. The theoretical reference covers the inclusive education, teaching learning, teachers professional development, the knowledge base for teaching and teaching cases as a resource for continued teachers formation in an inclusive perspective. The results indicated that teaching cases allowed description and analysis of educational practices developed by regular education teachers and adoption of reflective processes about situations reported and on their own pedagogical actuation, achieving indications of changes. It also indicates the contribution of cases for the clarification, systematization and extension of professional knowledge about inclusive education process as well as for involvement by the teachers of the study in a pedagogical thinking process. The lessons learned are related mainly to own role as teachers of regular education, to the role of professional support and specialized institutions faced to school inclusion. The analyses showed the methodological option was suitable to develop a schoolcentric training process, allowing teachers to seek in their actual environment alternatives for construction of a new logic of teaching that encloses diversity. The conclusion is that the cases, while bringing educational situations closer to the reality experienced by teachers in their daily professional role, causes relevant improvement on teachers education, because it offers training in conjunction with the experience and knowledge that teachers already have

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

É preciso estar atento: um estudo da relação entre desenvolvimento da atenção e aprendizagem

Se discute en este estudio la relación entre o desarrollo de la atención y el aprendizaje de la lengua escrita realizada con los alumnos del 5º grado de la Enseñanza Primaria, compuesta de 25 alumnos, con la edad entre 9 e 13 años, de la Escola Municipal Professor Arnaldo Monteiro Natal/RN. Para el desarrollo de este proceso investigativo, utilizamos como aporte teórico el materialismo histórico-dialéctico, pues ese método posibilita el análisis de los fenómenos y, a través de esa lógica, se revelan los elementos que dieron sustentación a la mediación pedagógica y comprensión de los fenómenos con mayor eficacia. También fueron usados los estudios de Vigotski (1991), Rubinstein (1973), Ferreira (2003), Ibiapina (2007), y otros que convergen con ese posicionamiento. Se adoptó la pesquisa colaborativa que supone la construcción de un objeto del conocimiento entre investigador y profesor y también asocia al mismo tiempo actividades de producción del conocimiento y de desenvolvimiento profesional, proponiéndose una mediación entre comunidad de investigadores y comunidad de profesores. Utilizamos como elementos metodológicos el diagnóstico de la atención, el diagnóstico de la producción escrita del texto narrativo, siguiendo las etapas elaboradas por Infante (1998), los diarios reflexivos, el planeamiento y las sesiones reflexivas (con alumnos y con los pares). Para análisis del desarrollo de la atención, utilizamos las categorías definidas por Luria (1991): volumen de la atención, estabilidad de la atención, oscilación de la atención. El análisis de la producción textual tuve como parámetros las categorías de cohesión y coherencia (COSTA VAL, 1999). Para esto, se reflexionó con ellos sobre la importancia del desenvolvimiento de la atención para aprendizajes más efectivas. Propusimos situaciones de aprendizajes que posibiliten el desarrollo de la atención de esos alumnos y el dominio de la producción textual; y se analizaron las interrelaciones entre desenvolvimiento de la atención y la producción de textos narrativos. Los resultados presentados en los textos permiten afirmar que es notoria la relación entre la atención y el aprendizaje de la escritura. Vale resaltar que la reflexión no puede tener un fin en si mismo o entonces ser usada apenas para justificar una acción, mas debe tener como objetivo mejorar la enseñaza y tornar los profesores más conscientes y, por lo tanto, más capacitados para ejercer su profesión

O processo ensino-aprendizagem de história no ensino fundamental: seus limites, suas possibilidades

Study about the teaching-learning process in History, which intents to point limits and possibilities to this process, starting from its characterization and analysis and understanding of the concepts of history, time, society and culture, used by teachers and students. The field research was performed in the Municipal School of Basic Education Zumbi dos Palmares, located in the city of João Pessoa, Paraíba State, in the period between 1996 and 2006. To achieve the objective of the study, a number of research instruments were used, amongst which, interviews, questionnaires and exercises emphasizing conceptual learning. The theoretical-methodological premises of the qualitative research justify the use of these various instruments, and serve as base for the interpretation and analysis of the data. This study demonstrated that some limits and possibilities that are found in the teaching-learning process in History are originated in the school context of the 1st phase of basic education and remain in the 2nd phase of this education level, partly, because of the understanding that teachers and students have regarding the concepts of history, time, society and culture

Objetos de aprendizagem e alfabetização: a proposição de um encontro

This study investigates the development of Learning Objects for the literacy of children. It aims to know based in the notion of literacy teachers the main factors of academic failure in literacy and researching in Brazil, as well as identify relevant activities in the literacy process of children to support the creation of a set of Learning Objects. Refers to an exploratory research, which is configured as a qualitative nature case study, inspired in part in an action-research described by Thiollent (2003), conducted with ten early grades elementary school teachers of a public municipal school in Parnamirim / RN. As methodological options for data collection uses questionnaires and focuses on the group of teachers, analyzing the data, referring back to the ideas by Szymanski (2001; 2008) and content analysis, guided by Bardin (2002). The development of Learning Objects, follows the steps of development suggested by Garrett (2000). Rules in its multidisciplinary theoretical reference and promotes a conceptual dialogue on: Literacy; Literacy School Failure; Pedagogical Practice in Literacy; Thoughts and Language; Multimedia and Hypermedia; Learning Objects. Perceives that the act of education in literacy as an act of love, courage and social interaction between individuals - educator and pupil, so there is ownership of the object of knowledge in the relations with the world and with the experience, through a pedagogical practice that assumes all different knowledges, the moral political ideal, the mindsets of the students, and can make use of teaching materials that supports the learning process and are consistent with the educational objectives (FREIRE, 1998; FREINET, 1976; VYGOTSKY, 1998; FERREIRO AND TEBEROSKY, 1985; JONASSEN, 2000; WILEY, 2001). Figures out, through the teachers' opinions, five reasons for school failure in literacy, three inside the school environment: teacher; academic assistant and principal; student, and two outside the school environment: parents/family; government and public management. Presents a set of Learning Objects, based on the constructivist thought, developed from the identification of activities considered relevant by teachers in literacy's teaching and learning process. Suggests the use of Learning Objects as pedagogical practice in literacy as a digital resource that supports learning and can trigger important cognitive processes for the acquisition of reading and writing skills in the school environment

Geometria e simetria nas rendas de bilro: contribuições para matemática escolar

A tese tem como objetivo descrever e analisar características e princípios dos padrões das rendas de bilro de modo a estabelecer relações com a Matemática escolar, principalmente, no que se refere aos tópicos como Geometria, simetria, isometria, área, perímetro, entre outros. Desse modo, elaboramos atividades didáticas, com base na Matemática explorada nos padrões da criação da renda de bilro, visando concretizar um exercício investigatório nas aulas de Matemática, de modo que, sejam estabelecidas relações conceituais entre a prática investigada e os conteúdos da Matemática escolar. Para satisfazer esses objetivos, buscamos apoio metodológico na pesquisa bibliográfica, do tipo documental em catálogos como o da Professora Valdelice Girão (1984) e também o de Dawson (1984). Realizamos também a pesquisa empírica durante as visitas ao Museu do Ceará e ao Centro das Rendeiras na Prainha, em Aquiraz, no Ceará. Para realizar as atividades didáticas, apoiamo-nos em Mendes (2009). Consideramos relevante essa abordagem de ensino porque pressupõe a experiência direta do aprendiz com situações reais vivenciadas, nas quais a abordagem instrucional é centrada no aluno. Desse modo, concluímos que para o ensino de conteúdos como Geometria, simetria, isometria, relação entre perímetro e área, entre outros que são abordados na Educação Básica, os modelos decorrentes da criação renda de bilro e outros modelos já descritos na tradição cearense podem ser usados como artefato cultural na criação de atividades didáticas

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