Aprendizagem significativa: uma proposta de ensino e aprendizagem da geometria euclidiana espacial no ensino médio

This dissertation is a research based on the Meaningful Learning Theory, with students from the second year of High School, in the city named Capinzal do Norte, state of Maranhão. The pedagogic approach of this research focuses on what to do and how to do so students can better grasp knowledge inherent to the Euclidean Special Geometry in a more meaningful and changing way, also that information may be kept longer in their brain, so it can last longer in the present and future. The methodological strategy adopted was the research-action, followed by the constant observance of a researcher on the matter with the purpose to ensure consistent results, which come from the use of a variety of data collector instruments, such as: Concept Maps, manipulatives, educational softwares and application of evaluative tests, besides the observations made throughout the process of investigation and the diagnosis itself. It is all due to the fact that we rely on the premise that knowledge is assimilated in particular and idiosyncratic ways, which means each and every student learns in different ways and in different periods of time. That is why it is so important to develop diversified methodologies to the same subject. This research adds to the other ones related to the theoretical frameworks of the Meaningful Learning Theory, of Concept Maps, of the use of technology on the educational process and of manipulatives, which purpose is to connect their common dots. This pedagogical intervention also focuses on the construction of the educational orientations with applicability directly on class, directed specially by the Mathematics teacher of the basic education, who might use them during your teaching practice. Such guidelines established here as an educational product aim to follow the Theory's assumptions that serves as basis to this research, thus becoming an educational element with a relevant significance. The results, with which we are faced, proved overwhelming to the proposed objectives in terms of learning, which were evident in the construction of Conceptual Maps, as well as in the use of Concrete Materials, in addition to serving as a motivational element to participating students of research. The results obtained are indeed reliable in terms of learning, considered the expected goals, and made us certain that the way we have approached the subject is consistent with a holistic education and that at the same time values the tiniest details, which are fundamental to all the learning-teaching process.

A compreensão de reação química como um sistema complexo a partir da discussão dos erros e dificuldades de aprendizagem de estudantes do ensino médio

The study of chemical reactions is among the most important contents to the understanding of Chemistry discipline in basic education. However, there are still few studies about chemical reactions as a complex system because, generally, this content is presented in textbooks, taught and even researched in a fragmented form. The thesis here presented aims to investigate, identify and characterize the mistakes and learning difficulties of the students about chemical reactions as a complex system, using for that purpose the analysis of the answers of 126 exams of candidates for the bachelor’s degree in Chemistry Teaching on the entrance exam for the Federal University of Rio Grande do Norte (UFRN). The mistakes and learning difficulties about the parameters ΔG°, Kp, Ea and of the calculation of the amount of substance in a chemical reaction have been identified, as well as the levels of development of the ability to interpret the chemical reaction as a system. The main theoretical source of this study is structured based on the mistakes and learning difficulties (NÚÑEZ, RAMALHO, 2012), of the chemical reactions as complex systems (NÚÑEZ, 1994; RESHETOVA, 1988; SANDERSON, 1968). As methodology, it was prioritized the analysis of the answers to the exams and the interview with the teachers. The results showed typical mistakes in the study of this subject, especially low levels and skill development. No student was able to integrate the different aspects in the systemic understanding of the chemical reaction. From the interviews with Chemistry teachers from High School, it was determined the reasons the teachers assign to those mistakes and learning difficulties. The interviews revealed that the teachers do not work in the perspective of integration of the contents which leads the students to present difficulties and make mistakes related to the content previously mentioned. The study presents a proposal for the organization of the contents of Chemistry discipline for High School as a possibility of a dialectic systemic integration of contents, understanding that this systematic vision, leads to important contributions to the development of the theoretical thinking of the students. We can mention as one of the conclusions of this study, the fact that the non-systemic organization of contents do not favor this kind of thinking in students.

Da arenga ao debate: o aprimoramento da competência argumentativa por estudantes do ensino médio

In order to understand the factors involved in the improvement process of argumentative competence by students of 2nd year of high school, we undertook a qualitative approach research and interventional nature, during which we adopted the conduct of participant observation in a school belonging to the state schools of Rio Grande do Norte, located on the outskirts of the city of Natal. The analyzed corpus consisted in the interim intervention and entails the answers to a semi-structured questionnaire, fourteen opinion articles and three regrados debates, produced by the students, in addition to video recordings of ten sessions and personal notes pertaining to another six, totaling sixteen sessions observed during the school year 2014. As the most important bibliographical references we study skills and reasoning from the perspective of discursive social interactionism. Analyzing the data we loan the principle of categorization, opting for critical-descriptive presentation and were revealed to us, via the classified evidences, that among the factors involved in the study process, it appears with more relevance to set up an effective intellectual community, which meets in constant interaction subjects, which alternate assuming the conditions of speakers and audience. The constitution of this community depends largely on the teaching mediation and is indispensable to the (re)design of the studied competence, in interactions with her the subjects afforded learn and develop their competence, reshaping the limits of their zone of proximal development.

Da arenga ao debate: o aprimoramento da competência argumentativa por estudantes do ensino médio

In order to understand the factors involved in the improvement process of argumentative competence by students of 2nd year of high school, we undertook a qualitative approach research and interventional nature, during which we adopted the conduct of participant observation in a school belonging to the state schools of Rio Grande do Norte, located on the outskirts of the city of Natal. The analyzed corpus consisted in the interim intervention and entails the answers to a semi-structured questionnaire, fourteen opinion articles and three regrados debates, produced by the students, in addition to video recordings of ten sessions and personal notes pertaining to another six, totaling sixteen sessions observed during the school year 2014. As the most important bibliographical references we study skills and reasoning from the perspective of discursive social interactionism. Analyzing the data we loan the principle of categorization, opting for critical-descriptive presentation and were revealed to us, via the classified evidences, that among the factors involved in the study process, it appears with more relevance to set up an effective intellectual community, which meets in constant interaction subjects, which alternate assuming the conditions of speakers and audience. The constitution of this community depends largely on the teaching mediation and is indispensable to the (re)design of the studied competence, in interactions with her the subjects afforded learn and develop their competence, reshaping the limits of their zone of proximal development.

Sequências de Fibonacci e a Razão Áurea - aplicações no ensino básico

This thesis aims to present a study of the Fibonacci sequence, initiated from a simple problem of rabbits breeding and the Golden Ratio, which originated from a geometrical construction, for applications in basic education. The main idea of the thesis is to present historical records of the occurrence of these concepts in nature and science and their influence on social, cultural and scientific environments. Also, it will be presented the identification and the characterization of the basic properties of these concepts and howthe connection between them occurs,and mainly, their intriguing consequences. It is also shown some activities emphasizing geometric constructions, links to other mathematics areas, curiosities related to these concepts and the analysis of questions present in vestibular (SAT-Scholastic Aptitude Test) and Enem(national high school Exam) in order to show the importance of these themes in basic education, constituting an excellent opportunity to awaken the students to new points of view in the field of science and life, from the presented subject and to promote new ways of thinking mathematics as a transformative science of society.

Uma proposta para o ensino das estações do ano com base em um referencial topocêntrico

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 Jerônimo Arantes, in Uberlândia, 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.

Sequência didática com temas motivadores no ensino de física

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.

Uma proposta para o ensino das estações do ano com base em um referencial topocêntrico

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 Jerônimo Arantes, in Uberlândia, 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.

Histórias em quadrinhos e arte-educação: sistemas abertos e dialógicos como inovação para o aprendizado de artes no ensino médio

Dissertação apresentada ao Programa de Pós-Graduação em Comunicação da Universidade Municipal de São Caetano do Sul para a obtenção do título de mestre em comunicação

DISSERTAÇÃO - Cinema na Educação: uma forma inovativa para compreender literatura brasileira no ensino médio

Dissertação apresentada ao Programa de Pós-Graduação em Comunicação da Universidade Municipal de São Caetano do Sul para a obtenção do título de Mestre em Comunicação.

AS TECNOLOGIAS DE INFORMAÇÃO E COMUNICAÇÃO COMO EIXO INTERDISCIPLINAR NO ENSINO MÉDIO INTEGRADO

A cada momento, as tecnologias de informação e comunicação (TIC) vêm se destacando como um instrumento auxiliar em todas as áreas de ação. No ambiente escolar não é diferente, seja como ferramenta técnica (secretarias, bibliotecas, etc.) seja dentro das salas de aula. No mundo em que vivemos, é quase impossível não estar diretamente em contato com alguma tecnologia, por isso, a disciplina Noções de Informática, inclusa na parte diversificada no Ensino Médio, vem sendo vista de forma atraente aos estudantes. Este trabalho tem como objetivo identificar fatores que têm impedido a utilização das tecnologias de informação e comunicação como instrumento motivacional e de promoção do conhecimento pelos docentes do Ensino Médio Integrado do Instituto Federal de Minas Gerais do campus Governador Valadares em aplicações interdisciplinares. Para atingir esse objetivo, foi feita uma análise dos Planos de Ensinos das disciplinas ministradas no Ensino Médio Integrado em Meio Ambiente; em seguida, um questionário foi aplicado para identificar a percepção de docentes sobre o uso das TIC no apoio ao processo de ensino/aprendizagem. O estudo traz contribuições para outras instituições de ensino público ou privado, por meio de informações sobre a utilização das tecnologias de informação e comunicação como eixo interdisciplinar para integração do Ensino Médio com o profissionalizante

Situações-problema no ensino de matemática financeira

O presente trabalho descreve uma proposta de atividade educacional direcionada para professores de Matemática, envolvendo situações-problema no ensino de Matemática Financeira para ser aplicado com alunos do Ensino Médio. Tais atividades tem como objetivo fornecer um contexto real, no qual o estudante esteja inserido. O trabalho se divide em quatro partes: a introdução de uma situaçãoproblema envolvendo juros simples, o conhecimento matemático, a resolução da situação-problema e a proposta de atividade educacional. Diferenciando-se do que usualmente é encontrado nos livros didáticos, a proposta aqui apresentada propõe estudar conteúdos matemáticos de forma articulada, envolvendo o conceito de porcentagem vinculado com funções lineares e juros simples com função afim e progressão aritmética. Dessa forma, é apresentada uma sequência de aulas envolvendo situações-problema através de atividades, adequadas para os alunos.

Geometria espacial no ensino médio: sugestões de atividades e avaliações para o conteúdo de prismas e pirâmides

Este Trabalho de Conclusão de Curso sugere uma sequência de atividades para desenvolver conteúdos de Geometria Espacial, particularmente prismas e pirâmides, com alunos do Ensino Médio, priorizando a visualização dos sólidos no espaço, identificando as diferenças quanto ao formato e às características de seus elementos, sem a necessidade de memorização de fórmulas. Enfatiza-se também a importância da recapitulação de conceitos da Geometria Plana e da forma de avaliar a aprendizagem. A cada ano que passa, os alunos estão encontrando cada vez mais dificuldades na Matemática Básica e isto tem consequência direta na aprendizagem por parte desses alunos nos conteúdos relativos ao Ensino Médio. Muitas vezes os alunos conseguem entender o que o professor explica, mas não conseguem resolver os exercícios. Para verificar a veracidade desta afirmação, foi realizada uma pesquisa através de um questionário com professores que trabalham com Geometria Espacial em sete escolas de Ensino Médio da cidade de Rio Grande, RS. Este trabalho pretende sugerir atividades simples que introduzem e complementam o conteúdo que encontra-se nos livros didáticos tradicionais, que os professores, mesmo com poucos recursos, podem realizar com seus alunos no sentido de tentar contornar essas dificuldades. Pretende-se também ressaltar a importância da exigência por parte dos professores por ocasião de suas avaliações, a fim de que seja preservada a qualidade do ensino.

As dimensões individual e coletiva no ensino exploratório da matemática

Relatório de Estágio apresentado à Escola Superior de Educação de Lisboa para obtenção do grau de mestre em Ensino do 1.º e 2.º Ciclos do Ensino Básico

Ensino dos números racionais comparando medidas de unidade

This research aimed to investigate the possibility to develop the process of teaching and learning of the division of rational numbers with guided tasks in interpretation of measure. Adopted as methodology the Didactic Engineering and a didactic sequence in order to develop the work with students of High School. Participated of training sessions twelve students of one state school of Porto Barreiro city - Paran´a. The results of application of the didactic engineering suggest the importance of utilization of guided tasks in interpretation of measure, since strengthened the understanding, on the part of students, the concept of division of fractional rational numbers and contributed for them develop the comprehension of others questions associated to the concept of rational numbers, such as order, equivalence and density.