Geometria e arirmética numa visão multicultural: uma experiência pedagógica

This paper aims to build a notebook of activities that can help the teacher of elementary school mathematics. Topics covered are arithmetic and geometry and the activities proposed here were developed aiming print them a multicultural character. We take as a base line developed by Claudia Zaslavsky multiculturalism and reflected in his books "Games and activities worldwide" and "More games and activities worldwide." We structure our work around four themes: the symbol of the Olympic Games, the pyramids of Egypt, the Russian abacus abacus and Chinese. The first two themes allow you to explore basic concepts of geometry while the latter two themes allow us to explore numerical notation and arithmetic operations

A etnomatemática em uma cerâmica da região do Seridó/RN

This work has as objective to describe mathematical knowledge used as tools in the manufacture and marketing of tiles of red ceramic by potters of the Currais Novos village/ RN, located 250 km from the capital of Rio Grande do Norte. For us to reach our objective, we rely on conceptions ambrosianas of Ethnomatematics, besides of the qualitative research in an ethnographic approach. In the empirical part of the research, that went it accomplishes in the period from 2009 to 2012 in the Currais Novos Village, we support the following tools for data collection, semi-structured interviews, field diary, photographs, audio recordings and participant observations. In the analysis of the collected data, we can conclude that there are mathematical knowledge in the management of manufacture and marketing of tiles, often different from the academic mathematics, mainly in the wood cube, on cube of the clays, in the handler with the measures time, the count method , in the arrangement of tiles, in the preparation of the ceramic mass and sale of tiles. Theses knowledge were described and analyzed in the light of the theoretical Ethnomatematics, also supported in official documents, such as Parameters Nacional Curriculares. The analyzes of these knowledge generated subsidies for elaboration of an educational product - a proposal of didactic sequence destined to the Teaching of Mathematics in Elementary and Middle levels for the community schools and region, this proposal is in the Appendix to this work

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

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

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

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

Citologia: uma proposta formativa na EaD - UFRN a partir de concepções alternativas

Learning difficulties can have a direct influence on the teaching-learning process of students by reducing their school performance. One factor that may contribute to this negative influence on learning refers to the presence of alternative conceptions, which may have different origins in the educational process. It is of paramount importance, for teachers, for example, to identify the concepts and the difficulties of their students in order for that knowledge can be able to contribute significantly to improve the teaching and learning process. From the following considerations, the present study (still in progress) aims to investigate aspects related to the concepts and difficulties of graduating students in relation to the contents of Biology. The participants of the research were undergraduate students in Biological Sciences from UFRN, studying by Distance Learning (Educação a Distância). To develop the survey, questionnaires were developed to identify the contents in Biology that these students have more difficulties as well as an interview to raise misconceptions regarding the content of cytology. Another tool developed was a textbook evaluation form, which was applied in conjunction with a questionnaire in workshops (short courses) in order to identify possible errors and mistakes that could jeopardize the process of teaching and learning, such as the importance that these learners assign to textbooks in the educational process. From the data collected, a booklet on the content of cytology was developed as a product. It is expected that it can be applied in classrooms in order to improve the teaching and learning in references to Biology, to minimize, for example, alternative conceptions than can occur related to the theme

A leitura de fontes antigas como possibilidade didatica: um exemplo a partir do Almagesto de Ptolomeu

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

A etnomatemática dos trabalhadores das cerâmicas de Russas-Ce e o contexto escolar: delineando recomendações pedagógicas a partir de uma experiência educacional

It is still common among contemporary educational proposals an overemphasis abstraction, to the formalism and symbolism of mathematical knowledge at the expense of the sociocultural aspects of Mathematics. Coming up by questioning some academic mathematical tenets and valuing knowledge developed in different sociocultural contexts within Mathematical Education, the Ethnomatematics is consolidating itself as a research field. Despite its contributions to the educational context, because its philosophical character and the paucity of debates about the subject, the implementation of educational proposals for basic education are scarce. Given this situation, this dissertation comes up with a view to develop an educational intervention in the light of Ethnomathematics in a class of 6th grade of an elementary school from a red ceramic industries workers community, located in a countryside from Russas-CE and from this intervention, to develop a set of pedagogical recommendations aiming basic education teachers. Adopting a perspective of qualitative research, particularly guided by action research, this study used observation, field diary, interviews and activities with students as tools for data collection. It was found that the use of field research as part of teaching and learning favored the placement of students as critical subjects of their own reality . Furthermore, the educational experience culminated in the development of a method of teaching based on a relationship between protocooperational Ethnomatematics and the Resolution of Problems. It is necessary to broaden the debate about the ways in which the Ethnomatematics can contribute to the school context, bringing proposals closer to the reality of basic education teachers in order to help the promotion of an education which values cultural diversity without taking away the students from the access of the academic knowledge

História da matemática na formação do professor: dificuldades e sugestões

This work is the result of a study that aimed to start scoring difficulties that the math teacher is trying to get a historical formation. Considering that the textbook is the material with which the teacher has more contact, start with reading historical texts present in these books. Choose a theme and choose from that we observed limitations ranging from the search for sources of research in relation to the actual historical content. There are many studies that show the importance of the history of mathematics in teacher education and also in the teaching and learning of mathematics. These works , in particular the work of Feliciano (2008 ) entitled : " The use of history of mathematics in the classroom " , along with the information , experiences and opinions given by Professor Anderson Luís de Azevedo Paulo , in some meetings , point to need for materials for teaching , since they show that recognizes the importance of this knowledge and the ability to use it in the classroom , but several factors have pushed aside , even the texts present in textbooks. From the analysis of some of the work and contributions of Professor Anderson Paulo we pointed out some of the factors that make historical texts being ignored by teachers and among them are characteristics in appearance and content in the text. To assist in the preparation of materials that meet the expectations of the teacher, we present a manual with suggestions and / or features to choose or produce a good text. These suggestions can make the history books more enjoyable and thus approach the teacher of historical knowledge and later encouraged to seek, in fact, a historical formation

Proposta para uma abordagem do conceito de oxirredução no Programa Nacional de Integração da Educação Profissional com a Educação Básica na modalidade de Educação de Jovens e Adultos Educação Profissional Técnica de Nível Médio (PROEJA)

The National Program of Professional Education Integration with Basic Education for Youngsters and Adults (PROEJA) Technical Professional Education Ensino Médio has opened a new chapter in the history of education in Brazil, making possible the integration of basic education and professional education. This new form of education, which is still in its early implementation, presents a series of challenges to be overcome. Specifically about the teaching of Chemistry, didactic material to match PROEJA s specific needs is practically inexistent. Thus, this work has the purpose of developing didactic material for the teaching of Chemistry for Professional and Technological Education of Youngsters and Adults in the courses of Electronics, Technical Electronics and Maintenance and Support for Computing at Instituto Federal de Educação,Ciência e Tecnologia do Rio Grande do Norte. This material aims at working chemical concepts of oxi-reduction reactions through a theme approach following Freire s conceptions for the teaching of Youngsters and Adults

Saberes ambientais e estações do ano

La enseñanza de las estaciones es fundamental para la comprensión de muchos ciclos naturales de la Tierra y, por consiguiente, debe integrar una educación en astronomía comprometidos con una educación ambiental más amplio. Sin embargo, la literatura en la educación científica ha puesto de manifiesto durante mucho tiempo la existencia de asociaciones erróneas de las estaciones astronómicas con características contradictorias de los ambientes que experimentamos en nuestro país. Los estudios de los autores de la historia de la astronomía y la astronomía cultural sugieren que la corrección de este error requiere la sistematización de los conocimientos sobre el comportamiento anual del medio ambiente local y, al mismo tiempo, la comprensión de los diferentes puntos de vista en el que las estaciones estaban y se cree por diferentes culturas, en particular, pero sin limitarse, a la perspectiva que utiliza como referencia el movimiento anual del Sol como base para la división del año en cuatro estaciones. Agregado a la reflexión sobre el enfoque humanista a la enseñanza de la astronomía, estos estudios sirvieron de base para la realización de investigaciones con los pescadores de la playa de Ponta Negra, durante los meses de mayo, junio y julio de 2012 y mayo-agosto en 2013; con el fin de conocer sus percepciones sobre el ambiente de la playa e investigar las posibles referencias que tienen del cielo durante el año. Más allá de la contextualización y reflexiones desarrolladas en la tesis, se presentan como un producto de la investigación el material educativo que consiste en el video "Las estaciones del mar de Ponta Negra" para ser utilizado como apoyo en talleres o cursos para estudiantes universitarios y profesores, que implica el tema de las estaciones . El material se utiliza la percepción de los pescadores en la playa dirigidas a contribuir así al diálogo entre la ciencia y el conocimiento cotidiano, y para reducir la brecha del conocimiento sistematizado sobre las características y los cambios anuales en el entorno de Natal / RN, en particular en el contexto de la enseñanza de las Ciencias. Al mismo tiempo, se espera favorecer la mirada del los profesores y futuros profesores para el medio ambiente local y la variedad que las diferentes culturas perciben los ciclos anuales y sus entornos

Dificuldades na construção de gráficos de funções

This study describes about graduation s students difficulties of to draw functions graph. Specifically, we intend to observe their abilities evolution, as well as their difficulties during Calculus I subject in engineering course. For that, we show them publications about the elaboration of graphs and its difficulties in obstacle terms and some researches witch contain this subject and that it was done during postgraduate studies in mathematical education. It shows by research methodology aspects related to French didatic s mathematic and some theories of cognitive psychology considering the high value between theoretical-methodological relation that was evidenced in both theoretical conceptions about ways to understand and teach mathematic. This methodology is based on didactic engineering purpose, that consist in preliminaries analysis, conception and didactic sequence analysis prior, trials by application followed analysis up and conclusion. We had also used pedagogicals actions and analysis of results achieved, to classify types of errors made by the 2005 s students during second semester, from conceptions related to the episthemologic and didactics obstacles

A leitura e o leitor presumido nas avaliações oficiais

Este estudio se refiere a una investigación a cerca de la concepción de la lectura que subyace en la Matriz de Referencia de la Prueba Brasil, y, mediante las análisis del modelo 2009, entender lo que el lector se supone que responder en las preguntas de esta prueba. El estudio tiene como objetivo satisfacer se presume lector general para responder a las preguntas de prueba de Brasil y el mapa de la concepción de la lectura que subyace en la matriz de referencia tal prueba. Los objetivos específicos apuntan a examinar los temas de Prueba Brasil, identificando qué descriptores se materializan en el mismo, que son los más recurrentes. El estudio tiene como fundamentos los estudios bakhtinianos a cerca de los diálogos del linguaje (Bakhtin, 2003, 2008; Volochínov/Bakhtin, 1993) y la concepción de la lectura defendida por Geraldi (2007), Larossa (2001) y DeCerteau (1994). La investigación és caracterizada como cualitativo-interpretativo, con enfoque socio-histórico, y se encuentra dentro del campo de la Lingüística Aplicada, que en las últimas décadas ha demostrado contribuciones para la enseñanza de lenguas y formación docente. Para hacer el análisis de las pruebas, inicialmente construido una tabla (Tabla 1), que contiene los seis macrotópicos Matrix lengua portuguesa en la que estábamos repartiendo los descriptores presentes en las cuestiones de prueba referenciada relacionándolos con sus temas. Tras analizar la cuestión, con el fin de identificar al presunto lector a responder a estas preguntas. Mediante análisis de la Matriz de Referencia de la Prueba Brasil, entendemos que ella está de acuerdo con los Parámetros Curriculares de la Lengua Portuguesa. Así, la concepción que subyace en la lectura es que la lectura es una actividad que depende del proceso individual, pero que és parte de un contexto social e involucra a habilidades relacionadas con la comprensión y producción de sentido. Mediante la observación de la prueba, afirmamos qué el lector con la capacidad de responder a las preguntas es lo que desarrolla actitudes favorables a cerda de la lectura. A saber: (i) reconocen ampliamente las palabras, (ii) identifican los objetivos y funciones de la lectura, en reconocimiento de la función de apoyo de género y el contexto del texto, (iii) predice el contenido de los textos a se lee a la luz de su apoyo, su género y su contexto; (iv) plantea hipótesis sobre el contenido del texto que se lee, (v) es capaz de buscar ideas textual e intertextual. Es decir, hace inferencias, aumentando la comprensión, la asociación de diversos elementos presentes en el texto y que son parte de sus propias experiências personales, (vi) construye la comprensión global del texto leído por la unificación de la información explícita e implícita, (vii) tiene la capacidad de evaluar la lectura de forma ética y afectiva, o de hacer extrapolaciones coerentes sin escapar de la temática del texto. Por último, podemos decir que las implicaciones pedagógicas de este trabajo para mi actividad profesional es de gran importancia, ya que desde la detección de lo que se requiere de los estudiantes y, en consecuencia, un nuevo enfoque para la enseñanza de la lengua materna como podemos reflexionar sobre eso y encontrar maneras de mejorar nuestro desempeño. Tanto nuestro entrenador como nuestros compañeros. Dejando a un nivel puramente descriptivo de los problemas de acción conjunta más eficaz, entendiendo que la enseñanza de lectura tiene un carácter complejo. En este sentido, tenemos que ser menos intuitivo y más reflexiva. Nos gustaría hacer hincapié en que tenemos la intención de socializar esta investigación con nuestros compañeros, ya que entendemos que es un material que puede contribuir a un nuevo aprendizaje para la práctica de los profesores que se inclinan. Además indicó que la principal contribución de este trabajo es nuestra mirada en el proceso de la lectura en el aula, la comprensión de que el estudiante de ofertas diarias con textos localizados, derechos de autor, histórico y representativo de las diferentes interacciones en el mundo. Por lo tanto, es el momento de ser gestado las prácticas de lectura hacia una educación más significativa

O latim, uma língua morta?: uma metáfora em análise: o olhar da lingüística aplicada e suas implicações para o ensino

The focus of this research is the teaching of the Latin language. Due to the fact that its teaching has been facing a growing crisis in the last four decades, which currently persists, we ponder about external and internal causes of its decline, aiming at pointing out an alternative that enable us to find a way out of this situation. So, our research questions mainly concern how the teaching of Latin is viewed amongst the academic society, also investigating if it has kept up with the development of the scientific reflection about human language and the new approaches on language teaching. Furthermore, we analyse the contribution that the study of Latin can provide to the academic formation of language teachers and try to identify the areas of knowledge that can contribute to a reshaping of its teaching. Based on these guidelines, we have established as the goals of this research: 1) to reflect about the current situation of the teaching of Latin and the causes of its decline; 2) to determine its social representation among teachers and students of the Language Courses, as a way of defining the role it fulfills in the academic formation of teachers; 3) to accomplish an exploratory study of some handbooks that show alternative proposals on how to teach Latin, in order to detect their adequacy to current times and to the goals of the academic study of languages; 4) to offer an alternative proposal on how to teach Latin that takes into account the principles of Applied Linguistics, considering the socio-historical and cultural aspects of the language, enabling it to meet the requirements set by modern times. This research is divided into two parts. The first part presents the theoretical framework. We map the studies about Latin teaching inside and outside Brazil and argue against the concept of Latin being a dead language, presenting arguments set on changing this view. Then we describe and comment the notions of literacy, genre and culture, which helped us understand the reasons for the decline of the teaching of Latin and to point out suitable ways to overcome the crisis. The second part is dedicated to reflecting on the literacy practices in Latin teaching. We began by examining the answers to the questionnaires given to students and teachers about the view of Latin in the Language Courses; then we reflect on the teaching-learning of Latin as an academic literacy practice followed by an analysis of the didactic material used in teaching Latin. Finally, we suggest an approach of the familiar letter genre in ancient Rome as a means of teaching Latin in a contextualized way

Eensino de língua portuguesa: da formação do professor à sala de aula

La reflexión crítica sobre la escuela y los quehaceres docentes ha favorecido la producción y la sistematización de nuevos saberes basados en fundamentos científicos, principalmente sobre las prácticas pedagógicas. En la enseñanza de Lengua Portuguesa, las investigaciones buscan comprender lo qué y cómo se enseña y se aprende durante la escolarización. En esa perspectiva, realizamos un estudio sobre la formación del profesor de Lengua Portuguesa y sus implicaciones en la clase, buscando observar la actuación de los alumnos-maestros en el contexto escolar, durante la realización de las Prácticas. Para tanto, elegimos como objetivo general, investigar cómo la carrera de Filología de la UFRN/CERES/Campus de Currais Novos promovía la formación de futuros profesores para atender a las expectativas de las políticas públicas para la enseñanza de Lengua Materna. Como referencial teórico, estudiamos los PCN, el proyecto político pedagógico de la carrera y autores del área de enseñanza de Lengua Portuguesa y de Educación, entre ellos, Geraldi (1996), Travaglia (1996, 2003), Antunes (2003, 2007, 2009 y 2010), Lomas (2003), Figueiredo (2005), Marcuschi (2001, 2008), Oliveira (2010), Riolfi et al. (2008), Possenti (2003), Alarcão (1996, 2001) Imbernón (2011), Pimenta y Lima (2010) y Schön (1993). El estudio está situado en el ámbito de la Lingüística Aplicada y se caracteriza como investigación cualitativa de naturaleza interpretativista, a partir de un abordaje de inspiración etnográfica del ambiente de las Prácticas. En los resultados constatamos que los alumnos-maestros privilegian la enseñanza prescriptiva, fundamentado en una concepción de lengua como sistema, direccionando la enseñanza de la lengua para la dirección contraria al abordaje funcionalista (lengua / uso), distanciándose considerablemente de la propuesta de formar un alumno crítico y agente de transformación. Respecto a la visión de los alumnos-maestros sobre la carrera, fueron listadas algunas cuestiones relevantes, entre ellas, los contenidos que hacen parte de la carrera, la distribución de la carga horaria de los componentes curriculares, la revisión de las ementas, la oferta de asignaturas de inclusión social, la reorganización de las actividades de la práctica en relación al acompañamiento y orientación a los alumnos-maestros y, especialmente, la desarticulación teoría / práctica que fue considerada como responsable por muchas de las dificultades encontradas por los referidos alumnos en la fase de regencia de clase en la enseñanza de Lengua Portuguesa en los niveles de enseñanza fundamental y media. De ese modo, a partir del análisis de estos significados construidos por los alumnos-maestros sobre el proceso de formación en esa carrera de Letras, constatamos la necesidad de una revisión del proyecto de la carrera, pues éste presenta esas fragilidades que necesitan ser analizadas en función de la mejoría de la calidad de la enseñanza de la graduación

Análise das avaliações realizadas na disciplina de arquitetura atômica e molecular no curso de química, modalidade a distância da UFRN

The field of education is very rich and allows us to research in various aspects. The area of chemical education has been growing more and more, and an important aspect that has been researching this area is about the learning difficulties of students. The approach of the themes atomic structure and chemical bonds are developed in high school and have many problems that are often brought to higher education becoming an obstacle to the advancement of learning. It is necessary for these initial themes - the atomic structure and chemical bonds - are well understood by the student to the other contents of Chemistry will be understood more easily. This paper aims to describe, analyze errors and difficulties presented in the assessments of the discipline Atomic and Molecular Architecture, the students of the degree course in Chemistry - EAD, with respect to the contents of " Atomic Structure and Chemical Bonding ", by of the assessments made by the students and the Virtual Learning Environment (VLE), taking into account the activities , discussion forum and access to materials . AVA allows obtaining reports which were used to analyze regarding access / participation to assess their contribution to learning and its relation to the final result (pass / fail). It was observed that the most frequent errors in the assessments are related to the early part of the chemistry that is the understanding of atomic structure and evolution models. Students who accessed the extra material and participated in the activities and forums were students who achieved success in the course. Ie, the difficulties were emerging and the use of available teaching strategies, students could minimize such difficulties, making their performance in activities and assessments were better. Was also observed by attending the AVA, the discipline began with a large withdrawal from the page access as well as the frequency of face- evidence from observation in Listing presence of classroom assessments