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

Há possibilidade do ensino da história desenvolver o pensamento teórico?

The expectation that there is a relationship between the teaching of history and the development of theoretical thinking , this study aimed to examine this relationship with the collaboration of two teachers who teach in the fourth year of elementary school in a public school in the city of Mossley - RN . Sues the theoretical and methodological contributions are identified with the history Dialectical Materialism . The methodological approach was collaborative research . Was based on studies of Vygotsky ( 1998, 2001 ) , Rubinstein (1965 , 1973) , Ibiapina (2007 , 2008) , Afanassiev (1985 ) , Goes (2003 ) , Ferreira and Ibiapina (2005 , 2006, 2007 ) , Davydov (1981 ) , Glenisson (1991 ) among others . The methodological procedures consisted of : meetings , questionnaire , interview , cycles of reflective studies , reports of experiences and reflective session. For data analysis , we used the methodology of conceptual elaboration , proposed by Ferreira (2009 ) and the shares of reflection proposed by Magalhães (2000 ) . Data analysis indicates the predominance of empirical thinking of collaborating both with regard to the process of design and ( re ) development of the concepts of history and theoretical thinking on the relationship between history teaching and the development of theoretical thought . However , we see the beginning of the start of the change process in thinking the teaching of history

Já li muita coisa, então, eu posso inventar mais! A leitura literária e o desenvolvimento do pensamento criativo na infância

This study investigates the contributions of reading literature for the development of creative thinking in childhood. Its relevance consists in exploring practices that contemplate the creative thinking development in apprentices at school space and understanding the literature like a significant way to promote the creative thinking. The study is connected to the qualitaty strand. The exploratory observation and the intervention were adopted as research techniques. The field diary and the audio and video recording of the reading sections were adopted as methodological instruments. The research was conducted in the application s college from the Federal University of Rio Grande do Norte, in a 1th grade class, with 18 students between 6 and 7 years old. During the intervention, 8 readind class happened, with varied strategies and literary genres. The reading sessions were conducted through the principles of scaffolding, defended by Graves and Graves (1995). The corpus is made of speaks episodes, whose encoding semantics allowed the grouping into two central categories: divergent thinking and coauthoring of literary reader. It was taken as a theoretical framework the studies of Amarilha (2011; 2006; 2001; 1991; 1993; 1994), Alencar (2001), Coelho (2000; 1997), Culler (1999), De Masi (2005), Gallo (2000), Guilford (1977), Iser (1996), Jouve (2002), Kneller (1978), Martínez (1997), Smith (2003), Stierle (1979), Vigotski (2009; 1998), Wechsler; Nakano (2003; 2002). The analysis points to the formation of creative individuals in the classroom, through the reading of literature. Reposition the literary education front of the new social demands. Resizes the function of school in children s development, considering the children s skill in exploring, testing hypotheses and making use of their creative thinking, in climate of freedom mental. It signals, in this way, the teacher like a mediator, promoting a favorable to the development of creative thinking environment, a stimulating atmosphere, which enhances the expression of creative thinking in community

Números complexos: uma proposta de mudança metodológica para uma aprendizagem significativa no ensino médio

This work presents a proposal of a methodological change to the teaching and learning of the complex numbers in the Secondary education. It is based on the inquiries and difficulties of students detected in the classrooms about the teaching of complex numbers and a questioning of the context of the mathematics teaching - that is the reason of the inquiry of this dissertation. In the searching for an efficient learning and placing the work as a research, it is presented a historical reflection of the evolution of the concept of complex numbers pointing out their more relevant focuses, such as: symbolic, numeric, geometrical and algebraic ones. Then, it shows the description of the ways of the research based on the methodology of the didactic engineering. This one is developed from the utilization of its four stages, where in the preliminary analysis stage, two data surveys are presented: the first one is concerning with the way of presenting the contents of the complex numbers in math textbooks, and the second one is concerning to the interview carried out with High school teachers who work with complex numbers in the practice of their professions. At first, in the analysis stage, it is presented the prepared and organized material to be used in the following stage. In the experimentation one, it is presented the carrying out process that was made with the second year High school students in the Centro Federal de Educação tecnológica do Rio Grande do Norte CEFET-RN. At the end, it presents, in the subsequent and validation stages, the revelation of the obtained results from the observations made in classrooms in the carrying out of the didactic sequence, the students talking and the data collection

Uma análise dos questionamentos dos alunos nas aulas de números complexos

This work presents a contribution for the studies reffering to the use of the History of Mathematics focusing on the improvement of the Teaching and Learning Process. It considers that the History of Matematics, as a way of giving meaning to the discipline and improve the quality of the Teaching and Learning Process. This research focuses on the questions of the students, classified in three categories of whys: the chronological, the logical and the pedagogical ones. Therefore, it is investigated the teaching of the Complex Numbers, from the questions of the students of the Centro Federal de Educação Tecnológica do Rio Grande do Norte (Educational Institution of Professional and Technology Education from Rio Grande do Norte). The work has the following goals: To classify and to analyse the questions of the students about the Complex Numbers in the classes of second grade of the High School, and to collate with the pointed categories used by Jones; To disccus what are the possible guidings that teachers of Mathematics can give to these questions; To present the resources needed to give support to the teacher in all things involving the History of Mathematics. Finally, to present a bibliographic research, trying to reveal supporting material to the teacher, with contents that articulate the Teaching of Mathematics with the History of Mathematics. It was found that the questionings of the pupils reffers more to the pedagogical whys, and the didatic books little contemplate other aspects of the history and little say about the sprouting and the evolution of methods of calculations used by us as well

O uso pedagógico de uma seqüência didática para a aquisição de algumas idéias relacionadas ao conceito de números complexos

The aim of the present work is to contribute to the teaching-learning process in Mathematics through an alternative which tries to motivate the student so that he/she will learn the basic concepts of Complex Numbers and realize that they are not pointless. Therefore, this work s general objective is to construct a didactic sequence which contains structured activities that intends to build up, in each student s thought, the concept of Complex Numbers. The didactic sequence is initially based on a review of the main historical aspects which begot the construction of those numbers. Based on these aspects, and the theories of Richard Skemp, was elaborated a sequence of structured activities linked with Maths history, having the solution of quadratic equations as a main starting point. This should make learning more accessible, because this concept permeates the students previous work and, thus, they should be more familiar with it. The methodological intervention began with the application of that sequence of activities with grade students in public schools who did not yet know the concept of Complex Numbers. It was performed in three phases: a draft study, a draft study II and the final study. Each phase was applied in a different institution, where the classes were randomly divided into groups and each group would discuss and write down the concepts they had developed about Complex Numbers. We also use of another instrument of analysis which consisted of a recorded interview of a semi-structured type, trying to find out the ways the students thought in order to construct their own concepts, i.e. the solutions of the previous activity. Their ideas about Complex Numbers were categorized according to their similarities and then analyzed. The results of the analysis show that the concepts constructed by the students were pertinent and that they complemented each other this supports the conclusion that the use of structured activities is an efficient alternative for the teaching of mathematics

A morada do pensamento: um encontro com Platão na busca da natureza do sentido em Frege

The ontological investigation of sense, from German philosopher Gottlob Frege s point of view, has, as its foundation, the understanding of reference, representation, thought and sense s categories. According to Frege s writings, On Sense and Reference, and Thoughts Logical Investigations, sense carries itself the solution for the problem of identity s relation. Sense gives us the knowledge s increment that identity doesn t give. But still there is a problem: the definition of sense's nature. Sense couldn t have its nature strictly defined because, in this case, it would be reduced to reference s category and thus, sense would be identified with the own extra-linguistic object, and this is a misconception. But Frege said that thought must be considered as the sense of the sentence. So, with this close relationship between sense and thought, a new goal in this investigation is putt in focus: thought. To Frege, thought is not a simple subjective performance of thinking, it is not a subjective representation, but it is an objective content that is real, eternal, and that exists by itself in a third realm . Thought exists in a realm beyond the world of subjective representations and beyond the world of sensible perception. From this point, the present investigation went back to Plato s World of Ideas. So, the platonic thinking was included in this debate about the metaphysic of the third realm in Frege, trying to clarify the original concepts of knowledge, reality and truth. To achieve this objective, the following dialogues had been included in our research: Theaetetus, Republic and Phaedo. And the following fregean questions had been brought to Plato's scope: how happens the new knowledge? What is the third realm s reality? What is the relation between truth and thought? Doing that we could see as much some of the platonic origins of Frege's approach, as some differences between this two philosophers

O filósofo e o pensamento intempestivo

Ce travail consiste en présenter la façon tel comme l'image du philosophe apparaît dans le penseé de Nietzsche sur sa série Considérations Intempestives où il esquisse un type d'homme proprement philosophique, ainsi comme il présent en détails ce qu'il pense sur la philosophie et son rôle par rapport à son temps, en articulant ces idées de façon intrinsèque avec un sens renouvelé sur la culture, qui joue un rôle important dans l'enseemble de son oeuvre. Sur cette base, nous nous proposons de penser comme une philosophie intempestive se rapporte à l'histoire, en remplaçant au premier plan ce que concerne au philosophe considéré le médicin de la culture. L'objectif ici est alors de penser quel est l'office du philosophe en temps de chaos

Uma nova tecnologia no pensamento de Herbert Marcuse: arte e técnica na sociedade unidimensional

This dissertation addresses the issue of technology in the work of Herbert Marcuse, explaning the merger between technology and domination that result in a totalitarian technological apparatus. Thus, technological civilization is supported and justified by a rational technological apparatus in the society, we have come not only the philosophy of Marcuse, but other great thinkers too, like Heidegger, Hegel, Marx. We also present a debate involving the philosophy of science, logic and linguage. Marcuse points to the need for a new technological rationality that emerge from a new sensibility, where the technique would allow a new relationship between man and nature. From then on, would emerge the need for a new subject. This transition would be possible by means of sensitivity, where art would become the art of live. With the link between art and technique made possible by new sensitivity, the author leaves one of its main contribution: he leaves open the possibility for the subject to choose new targests for technological development

Uma nova tecnologia no pensamento de Herbert Marcuse: arte e técnica na sociedade unidimensional

This dissertation addresses the issue of technology in the work of Herbert Marcuse, explaning the merger between technology and domination that result in a totalitarian technological apparatus. Thus, technological civilization is supported and justified by a rational technological apparatus in the society, we have come not only the philosophy of Marcuse, but other great thinkers too, like Heidegger, Hegel, Marx. We also present a debate involving the philosophy of science, logic and linguage. Marcuse points to the need for a new technological rationality that emerge from a new sensibility, where the technique would allow a new relationship between man and nature. From then on, would emerge the need for a new subject. This transition would be possible by means of sensitivity, where art would become the art of live. With the link between art and technique made possible by new sensitivity, the author leaves one of its main contribution: he leaves open the possibility for the subject to choose new targests for technological development

O entardecer de uma era: técnica, poesia e pensamento em Heidegger

The thinking dialog between Heidegger s philosophy and the poetry of Hölderlin and Rilke must be dealt in language s domains. The difficulty to establish this dialog comes from the man in itself, unable to think out of the understructure of science and the modern technique. The poetic language was forgotten or ignored, turning itself obsolete in front of improvements and resources of the technique. Heidegger searches the essences to the poetry so may it be comprehended in its plenitude for the man. Technique, poetry and existence must be pronounced and investigated so the being shows itself again. To Heidegger, the man lives in a period of uncertainty due finding himself at the sunset of age. The uncertainty generates the poverty and the night of world represents the absence of god and original truth. Only with the fundamental comprehension of poetry, the man of today can project himself to the future not anymore as technique product, but with freedom to choose. The message of poetry of Hölderlin and Rilke, according to Heidegger s interpretation, transmits an alert to the contemporary man against the coming danger in his maintained relation with nature. The purpose of the following work is to build this thinking dialog, without disfigure the poetry, but taking approach over its essence, so from there to remove its true existential value.

O corpo no pensamento de Epicuro: limites e possibilidades

The theme that fits the perspective of this thesis comes from the interest of treating, in the Epicurean corpus, about the importance of the body and its manners of realization for understanding the thought of Epicurus of Samos. Based on the inferences contained in the texts that remained from Epicurus, we did an analysis of the aspects that characterize Epicurism as a thought that makes repeated references to the body as an instance of sensitivity. It was necessary, therefore, to discuss how the body is linked to the possibility of thought, and how the latter can be admitted as a body element. It is further understood that the atomistic physics converges to the idea that asserts natural phenomena as likely to be contained and explained by the observations that come from the senses which are manifested through the body. For this reason, it was also pertinent to reflect on the admission of the body as a key element for the interpretation of Epicurean thought, even under the constitution of language. The Epicurean construction about body image was also used for the interpretation and questioning of the dynamics that define the relationships between individuals, characterizing the koinonía of the garden through the notion of corporeal unity. It was defined, therefore, that the characterization of the action field of individuals who lived in the Epicurean garden revolves around the use of logos, with the dialogues coming from the exercise of philosophy for therapeutic purposes, which were able to introduce a specific mode of political action marked by the absence of strange interests of the notion of philía

Sujeito e liberdade no pensamento de Michel Foucault

The leitmotif of this dissertation research is on the relationship between two fields of questioning in the Foucauldian works that may be considered, at a first glance, irreconcilable: the understanding of subject as the result of determinations, on the one hand, and its ethical stance of seeking the creation of liberty, on the other. Since, despite this apparent inconsistency, both ideas are present with much emphasis on the work of the French thinker, to understand the way Foucault articulated these two ideas was necessary to elucidate and interrelate the way in which he thought about the concepts of subject, power and liberty. Traveling with the author his intellectual itinerary, it was revealed that his conception of subject and liberty can be reconciled (although maintaining its problematic nature) and, also, both are inextricably linked each one as a result of the other. Tracing, with the author, his intellectual itinerary, it was also possible to identify and describe the fruitful conceptual tools for thinking about our own determinations and about the possibilities we have of creating new subjectivities and liberating experiences

Reflexões filosóficas em torno da constituição do sujeito religioso-moral no pensamento de Freud

The present research deals with a philosophical reflection about the constitution of the subject religious and moral in the thought of Freud, starting from of question of religion while one of the various spaces concretion of the individual morality. Our hypothesis is that religion presents itself as a space of revival of the primary relationship with the mother of the subject and as a moral agency. That primary relationship corresponds to the period before the Oedipus complex. The cut caused in the Oedipus complex sake in the an emptiness the subject, leading him to a situation of helplessness. In trying to fill the emptiness and consequently out of the situation of displeasure occasioned by the helplessness, the individual seeks diverses means, between which, the religion. The religion, that sense, quest for one part, that support be filling of the existential emptiness, triggered in the Oedipus complex, and on the other, works as a staunch ally of the Superego, which for turn is direct heir of the Oedipus complex and whose function is to require of the subject to moral living, as is established by the social body, where the individual is inserted. Therefore, we seek to draw this subject starting from general ideas of the philosophy, about the moral, as well as some theoretical elements of freudian thought, since his idea of the origin of the culture, morality and religion the more specific elements that pertain to the individual subject, ie, the psychism

A Questão da linguagem e do pensamento a partir da carta sobre o humanismo

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior