A Avalia����o na sala de aula de matemática: pr��ticas e concep����es

This research aims to understand the assessment practices used by teachers at a public state school in the city of Cunha, Sao Paulo. To this end, we interviewed five mathematics teachers, who answered a questionnaire with five questions. The responses were analyzed according to the rigor of phenomenological research. To understand the investigation region, that is to say, the meaning of evaluation, we proceeded to a review of studies on the subject in authors like Buriasco (2002), Pavanello (2006), Hoffmann (1994), expressive in Mathematics Education that allows us to explain the concept of prevailing interpretation in the area. The phenomenological analysis enabled the development of three categories open revealing the concept of evaluation of teachers investigated. The first shows the review As a way to measure the knowledge acquired by the student. His interpretation leads us to understand that for some teachers, the research subjects, the assessment becomes a method to ' measure ' the knowledge acquired by the student. The second category, expressed by As a way of understanding the student's behavior in class, shows that some of the interviewees understand the evaluation as a medium that reveals and appreciates the ways of the student behave in class. Finally, the third category refers to the evaluation by means of said instruments. On this subject the claim that the assessment is through instruments such that: evidence, exercise lists, among others. In summary, interviews and categories analyzed explain the ways in which the assessment reveals the concept of implicit learning the instruments used in the evaluation practices of teachers interviewed. However, the authors read, evaluation is a necessary and permanent teaching job in teaching, which must follow step by step the process of teaching and learning. It follows, ... (Complete abstract click electronic access below)

Uma Proposta de utiliza����o de um software educacional para o ensino de poliedros

This paper presents an educational proposal to use an educational software for the teaching of mathematics, following in the conduct of activities, the main aspects of sociocultural theory of Vygotsky. For this, it chose the Poly educational software, with which were developed teaching and learning activities for the polyhedra content provided in the S��o Paulo State Mathematics curriculum for the 7th year of elementary school. The objectives of this pedagogical proposal are to stimulate situations of social interaction among students and between students and the teacher, using an educational software as a mediator instrument and present a different way of using digital technology in math classes, aiming production of mathematical knowledge

M��dias na educa����o matemática: projeto CONDIGITAL

This work aims to understand the multimedia Learning Objects (LO's) developed within the CONDIGITAL project, subsidized by the federal government. The CONDIGITAL aimed to encourage the production and the use of media in teaching in high school classrooms. This work presents a reflection on the contribution of media to the construction of significant learning of student users. The research was conducted through a literature study. Therefore, it was considered the work of some researchers related to the study of the potential of these technologies in education, such as Valente (1995), Tauroco (2007) and Mussoi (2010). These readings made possible to discern some common evaluation criteria that may be used as parameters to analyze the quality of these media as educational tools. The theme of exploration is guided by a research on the motivation of the mentioned project and on its amplitude and its results, which is directed later to the LO's developed by UNICAMP team, particularly in the Mathematics productions developed by the M�� project, some of the which are presented and evaluated in this monograph

A visualiza����o no ensino de geometria com o Geogebra 3D

This research presents an investigation about the relevance of visualization in teaching geometry. Our interest turns to analyzing the use of technology in teaching geometry, seeking to highlight their contribution to learning. The students of today - second decade of the 21st century - require that, each time more, the school move towards the integration of technologies for teaching since tablets, smartphone, netbook, notebook are items present on daily life of most students. Thereby, we investigate, taking the phenomenological orientation, the potential of educational software, especially the Geogebra 3D, directed at teaching math and favoring the work with the geometry viewing. At work we bring some theoretical considerations about the importance of viewing for the geometric learning and the use of technologies. We build an intervention proposal for the classroom of the 7th year of elementary school with tasks aimed at visual exploration and allow the teacher to work the concept of volume of geometric solids

Algumas t��cnicas de constru����o de alguns poliedros e suas aplica����es no ensino

P��s-gradua����o em Matemática em Rede Nacional - IBILCE

O ensino de geografia e a educa����o ambiental: um estudo de caso com res��duos s��lidos urbanos em Bauru (SP)

P��s-gradua����o em Geografia - IGCE

Aprendizagem cooperativa e colaborativa em matemática no espa��o facebook

O programa de matemática do ensino b��sico revela que a escola exige uma forma����o s��lida em Matemática para que os alunos, ao longo do seu percurso escolar, possam compreend��-la e utiliz��-la, mas o fa��am igualmente depois da escolaridade, na sua vida pessoal, profissional e social. A investiga����o feita visa compreender como �� que a Educa����o Matemática Cr��tica e a rede social Facebook potenciam a aprendizagem cr��tica da Matemática. A utiliza����o mais frequente desta rede social, possibilita chegar a um maior fluxo de informa����o/publicidade. Sob a ��gide da Educa����o Matemática Cr��tica, com o objetivo de observar que altera����es ocorriam na forma como os alunos aprendiam determinados conceitos matem��ticos em situa����es rotineiras da nossa sociedade. Esta aprendizagem pode ocorrer cooperativamente e/ou colaborativamente conforme as atividades e os alunos que realizam o estudo. O estudo realizado foi de natureza qualitativa de car��ter interpretativo. Os alunos realizaram tr��s atividades. A primeira denominada ���Atmosfera Terrestre��� para introduzir o cap��tulo de intervalos de n��meros reais e para os discentes se familiarizarem com as ferramentas do Facebook. As outras duas foram uma publicidade de uma empresa e uma not��cia sobre as tabelas de IRS para o ano de 2013. Depois de conclu��do esse estudo, verificou-se que os alunos n��o tiveram qualquer problema ao n��vel do manuseamento das ferramentas proporcionadas pelo Facebook. Na atividade introdut��ria para o cap��tulo de intervalo de n��meros reais, os alunos conseguiram transpor o que tinha sido discutido em espa��o Facebook para a sala de aula, apresentando exemplos da referida atividade. Conseguiram retirar, atrav��s da matemática, conclus��es e resultados muito pertinentes para uma melhor perce����o do que estava implicitamente presente em cada uma das atividades. As conclus��es evidenciadas pelos alunos aludem que ap��s v��rias discuss��es, argumentos e mesmo algum c��lculo matem��tico conseguiram observar e justificar criticamente que algumas informa����es estavam camufladas nas distintas atividades. Os alunos constaram que ap��s estas atividades est��o mais alertas para situa����es similares, o que constitui uma conquista do papel da Matemática na sua vida.

O laborat��rio de ensino de matemática tem��tico centrado nos instrumentos de navega����o: uma proposta para o IFRN de Mossor��-RN

This work presents a proposal to build a Mathematics Teaching Laboratory (MTL) whose main theme is the study, construction and use of instruments for navigation and location of mathematical content in an interdisciplinary way approach, and develop a notebook of activities focused on navigational instruments. For this it was necessary a literature review to understand the different conceptions of MTL and its pedagogical implications. The methodology used was literature research, construction and handling of instruments, and pedagogical experimentation. Lorenzato (2006) highlights the importance of an environment and suitable for a professional who can do a good job instruments. The implementation of an LEM can find some obstacles. The lack of support from other teachers or the management, the lack of a suitable place to store the materials produced, the lack of time in the workload of the teacher to prepare the lab activity, etc. Even in unfavorable or adverse conditions, according Lorenzato (2006), its implementation will benefit teachers and students. The lack of teacher training in their initial and continuing education, to use materials, and the lack of manuals with lab activities are also mentioned as factors that keep teachers from MTL. With prop��posito assist the teacher of elementary or middle school in building a theme MTL prepared and we are providing a notebook of activities that provides a didactic sequence involving History and Mathematics. The book consists of four accompanied by suggestions for teachers activities, however the teacher has full autonomy to adapt the activities to the reality of your school. Among the instruments of navigation presented in this study chose to build the quadrant due to its simplicity, low cost of material and great teaching potential that this instrument has. But a theme lab is always being built and rebuilt as it is a research environment

Uma proposta para o ensino das esta����es do ano com base em um referencial topoc��ntrico

Studies carried out in several countries have confirmed the students��� difficulty in explaining the causes of the seasons of the year, and most of times their learning takes place incorrectly. The seasons of the year have been generally treated in didactic books apart from people��s routine, based on the heliocentric system, what demands abstraction to understand the phenomenon. Before this difficulty, it is necessary to think about a teaching proposal which allows the students to realize the environmental characteristics and its changes over time, as well as the seasons themselves. Thus, our goal was to work from the perspective of the observer on the terrestrial surface, therefore using the topocentric system. For that, we constructed a didactic sequence, grounded in Ausubel��s meaningful learning theory (2003) and in Moreira��s critical meaningful learning theory (2010), which was applied to students in 9th grade of elementary school and in 2th grade of high school at Escola Estadual Jer��nimo Arantes, in Uberl��ndia, Minas Gerais, owing to their previous knowledge and alternative conceptions, which were collected via interviews. Afterwards, to evaluate the applied methodology, we made new interviews, by which we realized improvement in learning in relation to the characteristics of the seasons based on Sun��s apparent path, which we attribute to reference the change of observation and the means to obtain data on the volume of rainfall and average temperature in the city throughout the year. On the other hand, there are points that were not highlighted in learning, such as the link between winter and rainy season and the causes of the seasons, points left to be discussed in future investigations.

O tema ��gua no ensino de ci��ncias:uma proposta did��tico pedag��gica elaborada com base nos tr��s momentos pedag��gicos

Science and technology are increasingly present in society���s everyday living, interfering with the appearance and social relationships, which requires from the population: knowledge, skills and actions to intervene consciously and responsibly in the new socio-cultural setting. The science education might become a great ally in the task of literacy and / or enable students to live consciously and critically in a world even more influenced by scientific and technological aspects. The aim of the dissertation is to develop a didactic-pedagogic proposal for science classes of the 6th year of elementary school, based on the "Generator Theme: Water and its treatment", involving the dynamics of the Three Pedagogic Moments. Such proposal consists of a Course which embraces seven teaching modules containing topics related to Generator Theme. The modules were designed and developed with four student groups of 6th year in twelve hours / class per group, with a total of approximately 120 students. The interpretation of the developed content, resulting from the thematic modules with students, led to the creation of five analysis categories. Considering the results, it is possible to conclude it is necessary, for successful teaching practices in the school environment, that the teachers embrace the aim of teaching in a meaningful way, drawing up activities that really recognize and include the student as an active subject of the educational and learning process. The use of activities that lead students to recognize themselves as main process actors, developing practices based on previous knowledge and on their specific learning, results in a situation which they will recognize the science in their lives, learn to be reflective and aware of their attitudes about the world where they live.

O Ensino de liga����es qu��micas por meio do conceito de energia: uma proposta did��tica para o ensino m��dio

This work presents discussions on the teaching of Chemical Bonds in high school and some implications of this approach in learning chemistry by students. In general, understanding how the chemicals combine to form substances and compounds, it is a key point for understanding the properties of substances and their structure. In this sense, the chemical bonds represent an extremely important issue, and their knowledge is essential for a better understanding of the changes occurring in our world. Despite these findings, it is observed that the way in which this concept is discussed in chemistry class has contributed, paradoxically, to the emergence of several alternative designs, making the understanding of the subject by students. It is believed that one of the explanations for these observations is the exclusive use of the "octet rule" as an explanatory model for the Chemical Bonds. The use of such a model over time eventually replace chemical principles that gave rise to it, transforming knowledge into a series of uninteresting rituals and even confusing for students. Based on these findings, it is deemed necessary a reformulation in the way to approach this content in the classroom, taking into account especially the fact that the explanations of the formation of substances should be based on the energy concept, which is fundamental to understanding how atoms combine. Thus, the main question of the survey and described here of the following question: Can the development of an explanatory model for the Chemical Bonds in high school based on the concept of energy and without the need to use the "octet rule"? Based on the concepts and methodologies of modeling activity, we sought the development of a teaching model was made through Teaching Units designed to give subsidies to high school teachers to address the chemical bonds through the concept of energy. Through this work it is intended to make the process of teaching and learning of Chemical Bonds content becomes more meaningful to students, developing models that contribute to the learning of this and hence other basic fundamentals of chemistry.

As escolas polivalentes do Tri��ngulo Mineiro e Alto Parana��ba (MG): sondagem vocacional no projeto desenvolvimentista civil-militar (1965���1976)

This study has as object eight state vocational schools located in Araguari, Arax��, Frutal, Ituiutaba, Monte Carmelo, Patos de Minas, Uberaba and Uberl��ndia, in Minas Gerais. The period analyzed comprises the years from 1965 to 1976, from the signature of the Agreement 512-11-610-042 beteween the Ministry of Education and Culture (MEC) and the American Agency for International Development (USAID), which started a series of other agreements, and actions ending up with the creation of the Expansion and Improvement of High Schools Program (Programa de Expans��o e Melhoria do Ensino M��dio - PREMEM) and, from this, the Vocational Schools. The upper limit of the study, 1976, was the year when these agreements, known as MEC/USAID agreements ceased. The Vocational Schools were characterized as vocation probing schools, directing the professional formation of the population in general, which would happen a posteriori, turning it shorter and more effective, since the labor market would demand, urgently, capable professionals for an expanding economy. The project of Vocational Schools had a national scope, and foresaw, for its unfolding, the complete substitution of State Schools for the new model, called ���multi-curricula���. The theme Vocational schools was the object of my Master���s degree study, when I focused the State School Guiomar de Freitas Costa, in Uberl��ndia. That study raised questionings and concerns that resulted in the central problem of the thesis presented here: understanding the measure in which such schools integrated the country���s development project ��� mostly in the first half of the military rule ��� and to understand its structure, functionality and efficacyThe development of the study presented here, demanded the use of several sources: 1) specialized literature about the topics presented, i.e., the situation of national education in a temporal analysis, the political, economical and social context, research methodologies, the theory of human capital, vocational teaching, pedagogical trends and practices, agreements MEC-USAID and PREMEM; 2) national, state and county laws related to the discussion: laws of national education directives and basis, decrees and reports stating about the program of technical cooperation between Brazil and the United States of America, the Program of Expansion and Improvement of Teaching (PREMEM), formation of professors, establishment of Vocational Schools and educational planning; 3) documentation of school archives: books of minutes of Collegiate and of faculty and staff, registrar books with final scores, enrolment, visits of inspector, accounting books, punch clock records, student, professor and staff occurrences, inventory, class schedules, school year calendar, school rules, class reports, payment rolls, bills of sales, exchanged mail, personal documentation of professional personnel, documents of land acquisition, blueprints, manuals of PREMEM, didactic materials/resources used in classes, books available in the school library, structured evaluations for follow-up of school processes, pictures of events, texts prepared for special dates, and news from the official newspaper and, finally, 4) national and local press reports, especially from Folha de S��o Paulo, Correio de Arax��, Correio de Uberl��ndia and Lavoura e Com��rcio (Uberaba). The proposition of Vocational schools was conciliate theoretical and practical formation through an active education permeated by technological resources. The contact with knowledge and several practical activities under professional supervision, the student would identify the knowledge area that would interest him the most and his aptitude. This formation in primary school would make way for the vocation studies in high school, which became mandatory by the law 5.692/71, that reformed school education from the previous levels of elementary, middle high and high school. However, the multi-curricula proposal that would be spread to the other public schools in the country ended up succumbing to the model already established. From its ephemeral existence, maybe the Vocational Schools have not reached the more general goals in political, economic and social aspects; however, this study demonstrated that, for the people that, directly or indirectly, had contact with such schools, a legacy of vocational and quality teaching was made, so much so, that forty years after the end of that proposal, they are still remembered.

Uma proposta de ensino de fra����es no 6�� ano do ensino fundamental a partir da teoria hist��rico-cultural

This text presents developed in the Graduate Program in Science and Mathematics Education at the Federal University of Uberl��ndia, in which it was intended to answer the question: What are the pedagogical implications for the fractions concept learning for students of the 6th grade of elementary school that the teaching guide activities can provide? The objectives of this research were: a) analyze the possible pedagogical implications for the learning of the fraction's concept for students of the 6th grade of elementary school through guiding teaching activities; b) using the conceptual connections of the fraction to enable students to develop an abstract thought and c) investigate whether guiding teaching activities reflect on 'how to think' and 'how to do' of the student. Five teaching activities have been developed (MOURA, 2002) from the perspective of teaching guiding activity (TGA) and had as object of study the teaching of fractions for students in 6th year of elementary school. They have been prepared and proposed activities in which it was intended to investigate the use of history of mathematics as an aid in learning the conceptual fraction links (CARA��A, 1951) by students. Such activities, for analysis, were organized into episodes and scenes (MOURA, 2004) and discussed how students deal with the measurement of whole quantity (all) and subunits (part); how they represent in verbal or written language. It is hoped that the research is set up as an important contribution to mathematics teaching area and may contribute to the initial and continuing training of mathematics teacher sand the formation of theoretical thinking of elementary school students.

O Ensino de liga����es qu��micas por meio do conceito de energia: uma proposta did��tica para o ensino m��dio

This work presents discussions on the teaching of Chemical Bonds in high school and some implications of this approach in learning chemistry by students. In general, understanding how the chemicals combine to form substances and compounds, it is a key point for understanding the properties of substances and their structure. In this sense, the chemical bonds represent an extremely important issue, and their knowledge is essential for a better understanding of the changes occurring in our world. Despite these findings, it is observed that the way in which this concept is discussed in chemistry class has contributed, paradoxically, to the emergence of several alternative designs, making the understanding of the subject by students. It is believed that one of the explanations for these observations is the exclusive use of the "octet rule" as an explanatory model for the Chemical Bonds. The use of such a model over time eventually replace chemical principles that gave rise to it, transforming knowledge into a series of uninteresting rituals and even confusing for students. Based on these findings, it is deemed necessary a reformulation in the way to approach this content in the classroom, taking into account especially the fact that the explanations of the formation of substances should be based on the energy concept, which is fundamental to understanding how atoms combine. Thus, the main question of the survey and described here of the following question: Can the development of an explanatory model for the Chemical Bonds in high school based on the concept of energy and without the need to use the "octet rule"? Based on the concepts and methodologies of modeling activity, we sought the development of a teaching model was made through Teaching Units designed to give subsidies to high school teachers to address the chemical bonds through the concept of energy. Through this work it is intended to make the process of teaching and learning of Chemical Bonds content becomes more meaningful to students, developing models that contribute to the learning of this and hence other basic fundamentals of chemistry.

O tema ��gua no ensino de ci��ncias: uma proposta did��tico pedag��gica elaborada com base nos tr��s momentos pedag��gicos

Science and technology are increasingly present in society���s everyday living, interfering with the appearance and social relationships, which requires from the population: knowledge, skills and actions to intervene consciously and responsibly in the new socio-cultural setting. The science education might become a great ally in the task of literacy and / or enable students to live consciously and critically in a world even more influenced by scientific and technological aspects. The aim of the dissertation is to develop a didactic-pedagogic proposal for science classes of the 6th year of elementary school, based on the "Generator Theme: Water and its treatment", involving the dynamics of the Three Pedagogic Moments. Such proposal consists of a Course which embraces seven teaching modules containing topics related to Generator Theme. The modules were designed and developed with four student groups of 6th year in twelve hours / class per group, with a total of approximately 120 students. The interpretation of the developed content, resulting from the thematic modules with students, led to the creation of five analysis categories. Considering the results, it is possible to conclude it is necessary, for successful teaching practices in the school environment, that the teachers embrace the aim of teaching in a meaningful way, drawing up activities that really recognize and include the student as an active subject of the educational and learning process. The use of activities that lead students to recognize themselves as main process actors, developing practices based on previous knowledge and on their specific learning, results in a situation which they will recognize the science in their lives, learn to be reflective and aware of their attitudes about the world where they live.