Problemas e modelos que contribuíram com o desenvolvimento do cálculo diferencial e integral: dos gregos à Newton

This article refers to a research which tries to historically (re)construct the conceptual development of the Integral and Differential calculus, taking into account its constructing model feature, since the Greeks to Newton. These models were created by the problems that have been proposed by the history and were being modified by the time the new problems were put and the mathematics known advanced. In this perspective, I also show how a number of nature philosophers and mathematicians got involved by this process. Starting with the speculations over scientific and philosophical natures done by the ancient Greeks, it culminates with Newton s work in the 17th century. Moreover, I present and analyze the problems proposed (open questions), models generated (questions answered) as well as the religious, political, economic and social conditions involved. This work is divided into 6 chapters plus the final considerations. Chapter 1 shows how the research came about, given my motivation and experience. I outline the ways I have gone trough to refine the main question and present the subject of and the objectives of the research, ending the chapter showing the theoretical bases by which the research was carried out, naming such bases as Investigation Theoretical Fields (ITF). Chapter 2 presents each one of the theoretical bases, which was introduced in the chapter 1 s end. In this discuss, I try to connect the ITF to the research. The Chapter 3 discusses the methodological choices done considering the theoretical fields considered. So, the Chapters 4, 5 and 6 present the main corpus of the research, i.e., they reconstruct the calculus history under a perspective of model building (questions answered) from the problems given (open questions), analyzing since the ancient Greeks contribution (Chapter 4), pos- Greek, especially, the Romans contribution, Hindus, Arabian, and the contribution on the Medium Age (Chapter 5). I relate the European reborn and the contribution of the philosophers and scientists until culminate with the Newton s work (Chapter 6). In the final considerations, it finally gives an account on my impressions about the development of the research as well as the results reached here. By the end, I plan out a propose of curse of Differential and Integral Calculus, having by basis the last three chapters of the article

Os significados do tabagismo construídos na dinâmica social

The present study has the purpose of catching the significances of smoking in the social dinamics based on the Theory of Social Representations. It was developed among adults with ages from 20 to 59 years, low social and economic conditions, at Natal RN, Brazil. The Free-words Association Test was applied as the instrument of data collection and a semi-structured interview with the smokers and non-smokers, besides a structured interview with smokers, non-smokers and ex-smokers. All data was analyzed by the descriptive statistics using the Analysis of Content Technique of the thematic kind and by the softwares ALCESTE and EVOC 2000. Elaborations about smoking were marked by social, cultural and historical dimension, however they showed sensibility to changes and revealed positive and negative aspects of the habit. The analysis of the semi-structured interviews showed the following categories and under-categories respectively: Initiation of the habit (Friends and Family and Appreciation and Beauty); Psychosocial Implications of smoking (Personal relationship, Work and Financial); Behavior when facing smoking (Positive, Negative and Neutral); Smoking Effects (Smokers´ health and the other people health); Description about oral diseases ( Bad breath, Oral cancer and Dental problems); Smoking treatment (Physician and psychological, Supernatural and Difficulties). ALCESTE analysis presented 4 classes: Ambivalence between pleasure and get ill, Smoking as a trouble and danger to society, Social discrimination of smokers and Mouth as a place of reaffirmation of the discrimination. Those helped us to understand the psychosocial repercussion of the habit. On the social representation structure we identified as a probable central nucleus of the smoker group the categories Pleasure and Bad to the health and as peripheral elements Alcoholic Drink, Financial damage and Nervousness. For the non-smoker group the category Bad to the health comes first and Stop Smoking comes as a peripheral element. Finally, we hope that the knowledge of these representations can contribute to plan and/or to rethink over the professional practices and public policies related to smoking. Besides that, for an amplified comprehension of the study object the discussions over the identified representations should be deepen and amplified to other population and social groups