Matem��tica para o ensino m��dio: volume I

Editado em parceria com a Funda����o Getulio Vargas

Matem��tica para o ensino m��dio: volume II

Editado em parceria com a Funda����o Getulio Vargas

Matem��tica para o ensino m��dio: volume III

Editado em parceria com a Funda����o Getulio Vargas

DE PROFESSOR A EMPRES��RIO: CONTRIBUI��OES DE ANTONIO VERONEZI AO ENSINO SUPERIOR

A hist��ria da funda����o e desenvolvimento de uma institui����o educacional, n��o pode ser desvinculada dos acontecimentos do pa��s, sobretudo se ocorrida no ��ltimo meio s��culo, per��odo ��mpar na hist��ria, em que o ensino superior se expandiu de forma acelerada, sobretudo o privado. Este estudo do ensino superior brasileiro, contemplando a hist��ria da Universidade Guarulhos, tem como pano de fundo a hist��ria de vida de seu fundador e atual Chanceler Antonio Veronezi, como m��todo de investiga����o qualitativa, constru��do por meio de entrevistas autobiogr��ficas. Identificando nas narrativas momentos marcantes da hist��ria da educa����o brasileira, foram eles contextualizados no aspecto pol��tico, econ��mico e social. As transforma����es do processo de industrializa����o foram tamb��m pesquisadas procurando apresentar o desenvolvimento da pr��pria cidade de Guarulhos, geradora da demanda por ensino superior desde a d��cada de 1970 mantida at�� o momento. A trajet��ria educacional, a entrada no setor de educa����o, o desenvolvimento de habilidades de gest��o e a transforma����o do professor do ensino m��dio em um dos mais importantes empres��rios e representante do setor, dotam de sentido as quest��es suscitadas, que poder��o ser respondidas por pesquisadores da hist��ria, da pedagogia, da lingu��stica ou da administra����o, entre as quais: a democratiza����o do acesso, a qualidade do ensino superior, as representa����es sociais dos gestores e a mercantiliza����o do setor.

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.

A escola do urbano no campo do munic��pio de Catal��o/GO : ensino de geografia nas especificidades do lugar

This study makes an approach to the Morro Agudo Community (Cisterna) located in Catal��o city(GO) rural area where stands the Maria B��rbara Sucena Municipal School. This school center is a result of getting together several small and isolated schools, which worked, scattered in many rural communities in the region. After this centralization in a single school, many students had to move along inconvenient distance to get their classes. Morro Agudo Community (Cisterna) was outstanding at garlic cultivation throughout the 1990`s when eventually this activity came to a decline. The region is constituted by properties of small tract of land. The landowners come from a Portuguese background and there are, in addit ion, migrant workers from the northeast region of Brazil. These northeasterners work for these local landowners, and that brings an additional meaning to the social relations in the region and to the rural schooling. The social and cultural diversity of the region has a feedback at the school arising tensions in many ways. In the teaching and learning process the school deals with this diversity, combined with rules and goals that, in the end, delivers a geography teaching not able to value the local knowledge accumulated in the region by its own inhabitants. New methodological approaches to rural school communities emerged out of the analysis of these unmet expectations. Furthermore, this study takes into consideration some ���residues���, that means not all events are fit into programs; there are unintended consequences in an open process. All these are object of deep review in this doctoral dissertation. In this community, an analysis of the public policies implemented by Federal and municipal governments to rural schools communities in Brazil was conducted. The way in which public policies toward rural communities are implemented at the schools was reviewed; the goals they pursue and the role played by textbooks are also object of analysis. This study questions the relevance of this tools, mainly if they meet the real needs of the local people. The social representations of teachers and students are considered carefully based on their everyday lives and experiences.

Necessidades formativas em Matem��tica representadas nas vozes de um grupo de professoras dos anos iniciais da rede p��blica de ensino

Teacher training processes, initial and continuing, and professional practice of teachers who teach Mathematics in the early years are highlighted in the literature as complex, but also are regarded as the way to overcome many difficulties in teaching this component curriculum in the school stage in question. The aim of the study was to investigate how the training needs in Mathematics are represented by a group of teachers in the early years of elementary school of public health system of the city of Uberl��ndia, State of Minas Gerais. The research, qualitative approach, had as object of study the training needs, in Mathematics, of teachers in the early years. The research involved 16 teachers from two schools in the municipal public schools of that city. Data were collected through questionnaires, non-participant observations, semi-structured interviews followed by group and individual. Analyses were performed by means of thematic categories, founded by content analysis. Data interpretation allowed to understand training needs in mathematics that are presented to the collaborating group from their professional practice, considering the knowledge and skills necessary to teaching. It is understood that the teachers of the study group have major limitations in relation to the specific content and didactic knowledge of Mathematics content, however, the concern is that demonstrated not always being aware of it. Moreover, the difficulties experienced in teaching practice proven to be overcome by sources and non-formal training activities, primarily through more experienced colleagues in the profession. Thus, it becomes difficult to think the initial and continuing training courses for teachers without the training needs of the teaching practice is appreciated as an object of study.

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.

A descoberta do el��tron como tema gerador de um ensino de f��sica mediado por experimenta����o remota

In this work, we have proposed and applied a methodology for teaching electromagnetism, based on an experimental activity and designed in an investigative teaching model, and containing a high degree of dialogism among teachers and students. We have used the discovery of the electron as a generator theme and a remote experiment to determine the charge-to-mass ratio of the electron as an educational resource. Our analyses indicate favorably towards the promotion of ways of appropriation of knowledge by the student, very different from those perceived in traditional expositive classes. Similarly, we find that the presence of a technological resource and an experimental activity create new posture of the teacher in the classroom, probably caused by the unpredictability of the results from the use of such resources. A challenge that we still need to solve is how to engage students in extra classroom tasks, since learning is not only effective in time for classes. We also present the weaknesses detected in our methodological proposal as well as implementations necessary in order to continue the validation process of this methodology.

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.

Estrat��gias de trabalho com blogs no ensino de geometria em turmas de 5�� ano do ensino fundamental

This paper presents a survey conducted through collaborative work, which took place in a suburb school in the city of Uberlandia-MG. The research is characterized as case study and has a qualitative approach. Had the objective to look for different strategies of teaching and learning through the use of technology in pedagogical practice. Regarding the methodology in this research, we analyzed the work with the support of blogs, whose pages were used for student records and discussions directed to the geometry content. The students who were attending the fifth (5th) year of elementary school were invited to participate in this project. However, the research subjects were only those students who accepted the invitation to participate in the study through statement signed by parents. The project was developed with 30 students in the second half of 2014 and another 30 in the first half of 2015. The physical space at school, where most of the project activities were done was at the computer lab. In the process of compiling the data, at school, the following instruments were used: field notes produced by the entire project team, photographs and footage of the activities produced in the computer lab and in classroom (recorded by the research team) questionnaires, interviews, virtual space records: the blogs. The results of this research mainly focused on the analysis of the fifth year student���s productions records in blogs. Regarding the conclusion, the research has shown that blogs, software and differentiated dynamic studies attracted the student���s attention, leaving them mostly instigated by the unknown. Gradually, students built their own knowledge from their mistakes and successes. The entire work process enabled the computer lab to be an environment that is used not just to solving computerized and tedious drills. The blogs production work in groups, developed in students the reading and writing of both the mother language as symbols and mathematical nomenclature. The interaction between students became noticeable throughout the project, since it provided the student���s personal growth, respect, tolerance and mutual cooperation. In this sense, we concluded that the project greatly contributed to the students' literacy process in the mother language, mathematics and computer literacy.

Sequ��ncia did��tica com temas motivadores no ensino de f��sica

This study is based on the design and development of a Didactic sequence in Physics for the first year of high school in a public school, involving structured activities on Astronomy topics, Astronautics and Aeronautics. In addition, it produced a didactic-pedagogic Tutorial for teachers to develop teaching-learning processes in Physics through activities with handmade rockets. These activities have been based on teaching moments of questioning, systematization and contextualization. In this context the understanding and the deepening of concepts and scientific and physical phenomena are related to everyday knowledge, in accordance with the historical-cultural theory, with the Three Pedagogic Moments, dialogicity and Information and Communication Technologies as instruments of triggering actions and motivation, like movies and applications in teaching Astronomy, Physics and Mathematics. The research activities were conduced by adopting a qualitative approach and included reports, questionnaires, semi-structured interviews and other notes. The development of the Didactic Sequence enabled a differentiated teaching and learning process, including aspects such as conceptualization, contextualization, flexibility, interdisciplinary and theoreticalexperimental relationship.