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

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Elaboração e aplicação de uma sequência de atividades para o ensino da trigonometria numa abordagem histórica

The present work aims to report the construction of a workbook for teaching trigonometry focusing the possible mix between the historical approach to the teaching of mathematics and the professional master´s degree. For this, considerations about the history of mathematics as a teaching methodology, the education of the math teacher who will teach trigonometry and also about the course of elaboration and experimentation of the activities in the workbook were made (using the methodological strategy of action research). Finally, the workbook for the teaching of trigonometry in a historical approach is presented as an example of the above mentioned mix between the history of mathematics, mathematical school content and the professional master´s degree

Uma abordagem histórica para o ensino do princípio da inércia

Placed in the field of Didactic of Science, this paper proposes an approach to the introduction of the History of Science in science education, at high school level. It was designed and implemented a series of activities regarding the history of the Principle of Inertia. The aim of this approach was to give more meaning to scientific education, while opening new avenues for a better understanding of the processes of construction of scientific knowledge. The preparation of the activities involved a study of the historical development of the concept of motion, from the Aristotelian physics through physical movement concepts at medieval period, from Galileo, Gassendi, Descartes, until the first law of Newton. The strategy of teaching was applied to three classes of high school (night period) of a state public school at the city of Natal (RN). The results indicated the difficulty of overcoming alternative conceptions about movement by students. Nevertheless, we consider that the implementation of this strategy of teaching both represented gains for the learning of students, and contributed to the resizing of pedagogical practices of the teacher-researcher

Atividades estruturais de equações polinomiais numa abordagem histórica por meio de e-book

The present study investigates how the inter-relationship of the content of polynomial equations works with structured activities and with the history of mathematics through a sequence of activities presented in an e-book, so that the result of this research will proceed will result in a didactic and pedagogic proposal for the teaching of polynomial equations in a historical approach via the reported e-book. Therefore, we have considered in theoretical and methodological assumptions of the History of Mathematics, in structured activities and new technologies with an emphasis on e-book tool. We used as a methodological approach the qualitative research, as our research object adjusts to the objectives of this research mode. As methodological instruments, we used the e-book as a synthesis tool of the sequence of activities to be evaluated, while the questionnaires, semi-structured interviews and participant observation were designed to register and analyze the evaluation made by the research, participants in the structured activities. The processing and analysis of data collected though the questionnaires were organized, classified and quantified in summary tables to facilitate visualization, interpretation, understanding, and analysis of these data. As for participant observation was used to contribute to the qualitative analysis of the quantified data. The interviews were synthetically transcribed and qualitatively analyzed. The analysis ratified our research objectives and contributed to improve, approve and indicate the use of e-book for the teaching of polynomial equations. Thus, we consider that this educational product will bring significant contributions to the teaching of mathematical content, in Basic Education

Propriedades dos sistemas de numeração: uma sequência didática em uma abordagem histórica

This paper aims to describe the construction and validation of a notebook of activities whose content is a didactic sequence that makes use of the study of ancient numbering systems as compared to the object of our decimal positional numbering system Arabic. This is on the assumption that the comparison with a system different from our own might provide a better understanding of our own numbering system, but also help in the process of arithmetic operations of addition, subtraction and multiplication, since it will force us to think in ways that are not routinely object of our attention. The systems covered in the study were the Egyptian hieroglyphic system of numbering, the numbering system Greek alphabet and Roman numbering system, always compared to our numbering system. The following teachung is presented structured in the form of our activities, so-called exercise set and common tasks around a former same numbering system. In its final stage of preparation, the sequence with the participation of 26 primary school teachers of basic education

História da matemática e teatro nas aulas sobre Teorema de Tales: um script proposto

This study will present the results of an investigation of how the history of mathematics and theater can contribute to the construction of mathematical knowledge of students in the 9th year of elementary school, through the experience, preparation and execution of a play, beyond presentation of the script. This brings a historical approach, defining space and time of events, putting the reader and viewer to do the route in the biography of Thales of Miletus (624-546 a.C), creating situations that led to the study and discussion of the content related to the episode possible to measure the height of the pyramid Khufu and the Theorem of Thales. That said, the pedagogical proposal implemented in this work was based on theoretical and methodological assumptions of the History of Mathematics and Theatre, drawing upon authors such as Mendes (2006), Miguel (1993), Gutierre (2010), Desgrandes (2011), Cabral (2012). Regarding the methodological procedures used qualitative research because it responds to particular issues, analyzing and interpreting the data generated in the research field. As methodological tools we have used participant observation, the questionnaire given to the students, field diary and dissertativos texts produced by students. The processing and analysis of data collected through the questionnaires were organized, classified and quantified in tables and graphs for easy viewing, interpretation, understanding and analysis of data. Data analysis corroborated our hypothesis and contributed to improving the use and display of the play as a motivating activity in mathematics classrooms. Thus, we consider that the script developed, ie the educational product proposed will bring significant contributions to the teaching of Mathematics in Primary Education

A dinâmica do pensamento geométrico :aprendendo a enxergar meias verdades e a construir novos significados

This work is a case study to investigate the dynamics of the historians thought as they produce a knowledge about the history of the area measurement systems as forms of historical expressions and representations. We refer to some of the ideas of David Bohm (1989, 1992, 1994, 1996) to support our theoretical understanding about the operation of thought. We chose a period that is recognized by the theorists as the origin of the geometrical thought -embracing the knowledge developed by the Egyptians, Babylonians, Chinese, Hindus, Greeks and Romans- and is referred to as containing a cycle in the development of this knowledge, described as beginning, apogee and decline. We assume this history, as told by the theorists, as a version that we organize and tell with the help of three sets of categories. The first refers to the elements that take part in the measurement practices; the second refers to the historians understanding about the development of the scientific knowledge. This exercise allowed us to extract the theorists main beliefs, that we criticized in the light of the knowledge about Cubação (Dal Pian, 1990). We stress the importance of the methodological approach adopted in this study to the teaching of Geometry and its history

Inércia e Natureza da Ciência no Ensino de Física: uma sequência didática centrada no desenvolvimento histórico do conceito de inércia

During the last decades the area of science education has discussed issues related to the inclusion of the History and Philosophy of Science (HFS) in the practice of science teaching. Among the arguments put forward in favour of this approach, it is pointed out the possible enhancement of scientific content learning and the understanding of the nature of Science (NoS). In spite of such considerations, we still have a very small number of research papers reporting results of practical interventions that utilize the historical approach, moreover, there is a lack of teaching materials in this perspective. Our work has sought to contribute to this area with regard to two aspects: on the one hand, with the production of didactic material, by drawing up texts on the history of inertia for graduate students. On the other hand, we investigate whether the arguments mentioned above in relation to the didactic use of HFS sustain themselves, in a particular context. We developed and applied a didactic sequence, using the texts that we built, to teach the concept of inertia and discuss selected contents of NoS. The didactic sequence was applied in two graduate classes, one from a course of Geophysics (BSc.) and another from the Physics (teaching formation), both from the Federal University of Rio Grande do Norte (UFRN). An initial survey exposed that students, even having approached the concept of inertia in basic education, presented conceptions of common sense regarding the relationship between force and motion. The questionnaire also allowed us to identify the existence of elements of concepts considered inadequate as regards to NoS. At the end of our research, our data indicated a greater number of positive hits on the issues concerning the concept of inertia. Regarding the aspects of NoS, we were able to identify, in a few cases, a move towards a more appropriate understanding, however, certain distortions persisted, highlighting the limitations of the approach used

Ensinar e aprender História na relação dialética entre interpretação e consciência histórica crítica

Teaching and learning History in dialectical relationship between interpretation and critical historical awareness has investigated the triggering of a theoretical-practical training process developed with a history teacher, her mediation in the teaching and learning of the discipline process, related to the appropriation of history text interpretation and the development of critical historical consciousness by public school 8 th-grade students of elementary level. It aims to analyze the relationship between mediation of teaching activity and ownership by the student on this level, the interpretation of history texts and development of this consciousness. It has been opted for collaborative research, as training and strategy, and was employed as procedures for the formation of knowledge: Meeting, Cycles of Reflexive Studies, Planning (with teachers), Observation performed in real life and portfolio (involving students). The teacher appropriated of contributions of the theory by P. Ya . Galperin and critical historical consciousness and developed a teaching process using a methodology grounded in theoretical constructs this author. The students appropriated the interpretation of history texts and demonstrated to be in a process of developing a critical historical consciousness. Performance of the students occurred more consistently in the interpretations implemented in groups, with teacher guidance and support of the activity map. Training processes, performed in and about teaching and student activities, revealed an improvement in teacher's professional development and the knowledge and expertise of the students. It has contributed to this, the critical reflection experienced in the investigative process. Given these findings, as needs of new thinking, research recommends the development of teaching and learning processes in other years of elementary school, involving the interpretation of history texts and the development of critical historical consciousness of students.

Ideal Mariano e docência: a identidade feminina da Proposta Educativa Marista

In the teaching history course it s found the female teacher entering, reflecting significantly in the continuous process of her identity redefinitions and reconstruction. This entering brings, even in a silent and not explicit way, the confluence of gender identity to professional identity, in which are present the relations of the proper to female. In the mastership case, these relations are found imbricated in the teaching identity construction and in the translation of this profession as female, based in Virgin Mary, through Mariano ideal diffused by the catholic church. Therefore there is a lanck in educational historiography towards the register of female teachers presence, mainly in male religious institute, the reason of this study, in which we seek to investigate: how to explain that a female identity can give support to a highly male educational project? What relations can we establish between this female identity and the entering of female teachers in Maristas Province Schools of North Brazil? We performed a bibliographic research in Maristas Schools Libraries, of Marista historial, in Recife, of Pontificia Universidade Católica do Paraná (Catholic University), in Curitiba-PR. We searched for support in studies about pedagogy history, of Marista Institute, Catholic Church, Brasilian Education and of Women; Mariologic studies, the referring to Marista Educational Proposal, to feminization and to teaching identity; and feminist theology productions. The empirical research included 10 schools from referred province and Marista Schools from Lisbon Portugal. Through semi-estructured interviews, we interviewed pioneer female teachers, Marista former Brothers and Brothers from those schools, due to their presence and action within the study period and for the concern to save their memories about the theme. The study reveals the particularities of Mariano ideal as female model and teaching, and her presence in Marista Educational Proposal. This study, in a historical approach, aims to contribute to give visibility to the woman in history and teaching construction in Brazil, mainly in religious institutions from male origin

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

Um lugar (in)existente: o "país" de Mossoró" nas tramas da consciência histórica

This work aims to analyze, on the one hand, how the academy has created the spatial term the country of Mossoró and, on the other hand, is to discover, by the teachers testimony, how the History teaching works with this spatiality. The academic production in Mossoró-RN, particularly during the last two decades of the century XX, focuses on the practices that built a historic memory based on political interests of the Rosado family. Therefore, this work is divided in three chapters. In the first one, we identify how the academic production has created a group of meanings related to the country of Mossoró , because it is a way to realize how this place is seeing and understand. In the second one, there is an explanation about the ideology concepts, that structure meanings created by the academic production, as well as the historic conscience that is used to think about the dynamic of teaching History. In the third, we analyze how teachers, expressing their historic conscience, figure meaning to this country of Mossoró

Cultura da educação profissional continuada: uma análise dos Contadores do Município de Fortaleza-CE

The present investigation analyzes if it has, amongst the accountants of the city of Fortaleza-Ceará, a culture of Continued Professional Education, in the perspective of one future obligatoriness to garantee to the society best professional services in the terms of Resolution CFC nº 995/04 through the analysis of the activities played for the accountants in the city of Fortaleza, as well as through the analysis and detection of the factors that have motivated or made it difficult the search for the Continued Education and to inquire the attributes considered indispensable for the professional exercise. With this objective, the study presents a historical boarding of the development of the Accounting and the Countable Superior Education in Brazil, the approaches and the intentions of the Program of Continued Professional Education. The procedure used in the research was the inductive method with the use of a questionnaire applied to the accountants of the city of Fortaleza registered at the Regional Accountancy Council of Ceará-CRC-CE, of which it could evidence that if on one hand it is perceived that in the city of Fortaleza most of the accountants have a cocern for a continuous learning represented by 97,31% of the sample ; on the other hand it understands that some would have difficulties to accept the imposition, understanding that desmotivating factors exist as : expensive activities, few offers of courses and even though time lack

Uso pedagógico do ábaco romano para ensino do algoritmo de multiplicação

This dissertation describes the construction of a alternative didactic incorporating a historical approach with the use of the Roman abacus for teaching multiplication to students of 2nd year of elementary school, through activities ranging from the representation of numbers to multiplying with the Roman abacus, for learning the multiplication algorithm. Qualitative research was used as a methodological approach since the research object fits the goals of this research mode. Concerning the procedures, the research can be seen as a teaching experiment developed within the school environment. The instruments used for data collection were: observation, logbook, questionnaires, interviews and document analysis. The processing and analysis of data collected through the activities were classified and quantified in tables for easy viewing, interpretation, understanding, analysis of data and then transposed to charts. The analysis confirmed the research objectives and contributed to indicate the pedagogical use of the Roman abacus for teaching multiplication algorithm through several activities. Thus, it can be considered that this educational product will have important contributions for the teaching of this mathematical content, in Basic Education, particularly regarding to the multiplication process

A migração do cuidado em saúde: do hospital para o domicílio

This study is an analysis of opportunities and challenges of health assistance migration from hospitals to home care from the approach of the Domiciliary Internment Program (PID) in Natal / RN. The research aims to identify the ways that the multidisciplinary team act and know the stories of these professionals about the situation experienced in the transition between the instituting and instituted on home care modalities. PID has as a prior focus the elderly person in stable medical conditions, not to replace the hospital care, but to offer a therapeutic support turned to the exercise of their autonomy and coexistence with the situation of diseases. The home in their internal coexistence rules preserves own customs. As the hospital care migrates to the home care, it happens in the confrontation and rationality negotiation and becomes something new, that is going to be directed by an instituting dimension. In the view of New History, that suggests an interdisciplinary approach and interprets the problems on its time and from the technique of thematic oral history, it can be seen that working in interdisciplinary team is able to incorporate new values in the way of healthcare assistance, it longs for maintaining the maximum functional capacity of patients, it presents results as the prevention of diseases, costs reduction in connection with the Hospital Service, empowers and expands the possibilities for the patient recovery by aligning with the daily life and the opportunity of the patient being assisted by a multiprofessional team, interacting on the concrete reality. Therefore, PID is in line with the contemporary demands and as an instrument to be considered in the review of a wider concept of the health-disease process